What is 5(−3.4k−7)+(3k+21) pls

Answers

Answer 1

Answer:

50k-14

Step-by-step explanation:

this is middle school level work, I had 117% in algebra 2 last year


Related Questions

which statement about y= 3x^2 + 11x + 6 is true?

which statement about y= 3x^2 + 11x + 6 is true?

Answers

The answer is b I’m pretty sure

Answer:

the answer is " The zeros are -3 and -2/3, because y=(x+3)(3x+2).

Step-by-step explanation:

(I just took the test)

Given the following ANOVA table for three treatments each with six observations: df Mean square Source Treatment Error Total Sum of squares 1,122 1,074 2,196 What is the treatment mean square? Multiple Choice O 71.6 71.8 O O 561 537 a

Answers

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

Based on the ANOVA table you've provided, you're interested in determining the treatment mean square. The treatment mean square (also called mean square between) is calculated by dividing the treatment sum of squares by the treatment degrees of freedom (df). Unfortunately, the ANOVA table appears to be incomplete, and I am unable to give you the specific numbers for the calculations.

However, I can guide you on how to calculate the treatment mean square. Once you have the treatment sum of squares and treatment df, simply follow this formula:

Treatment Mean Square = Treatment Sum of Squares / Treatment df

After applying this formula, you'll be able to choose the correct answer from the multiple-choice options you've mentioned: 71.6, 71.8, 561, or 537.

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

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when preparing to go shopping after the christmas holidays, conley actively scans the ads in the local newspaper for coupons and contests. while in the store, conley also looks for free samples of new products and products she hasn't purchased previously. the coupons, contests, and free samples are all examples of

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promotional strategies used by companies to draw clients and boost sales. For example, product promotions include free samples, whereas sales promotions include coupons and competitions.

Sales promotions are short-term incentives provided by businesses to entice clients to make a purchase or carry out a specific action, such redeeming a coupon or participating in a competition. On the other hand, product promotions use free samples to spread the word about and encourage people to try a new or existing product.

The coupons, contests, and free samples that Conley is looking for while preparing to go shopping after the Christmas holidays are all examples of promotional tools or marketing strategies used by companies to attract customers and boost sales. Samples are a particularly effective marketing tool as they allow customers to try products before purchasing them, increasing the likelihood of a sale. Conley's proactive approach to finding these promotional tools and taking advantage of them demonstrates her savvy consumer skills.

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Please help me!!
Really fast please

Please help me!!Really fast please

Answers

Answer:

55%

Step-by-step explanation:

We can infer a few things here and come to a logical conclusion.

$9 is not exactly half of 20 right?

So this tells us that our answer needs to be over 50% because a 50% discount would make the bookbag $10.

If we look at the answers only 1 of them is over 50% and that is 55%.

However, let's check our work

First we multiply 20 by .55 (when multiplying a percent we move the decimal over twice)

\((20) *(.55) = 11\)

We got 11 out of this, the next thing we do is subtract that 11 from the overall 20:

\(20-11= 9\)

Therefore we see that 55% is the answer!

Hope this helps!!

- Kay

Step-by-step explanation:

we see that 55% is the answer

the lowest temperature is usually around 3^\circ c3 ∘ c3, degrees, c, and the highest temperature is around 18^\circ c18 ∘ c18, degrees, c. the temperature is typically halfway between the daily high and daily low at both 10\text{ a.m.}10 a.m.10, start text, space, a, point, m, point, end text and 10\text{ p.m.}10 p.m.10, start text, space, p, point, m, point, end text, and the highest temperatures are in the afternoon.

Answers

The lowest temperature is usually around 3 degrees Celsius (3°C), and the highest temperature is around 18 degrees Celsius (18°C).

The temperature is typically halfway between the daily high and daily low at both 10 a.m. and 10 p.m. Additionally, the highest temperatures are usually in the afternoon.

During the morning, the sun starts to warm up the atmosphere, causing the temperature to rise from its lowest point. By 10 a.m., the temperature has increased but is not yet at its peak.

Similarly, during the evening, the sun starts to set, resulting in a gradual decrease in temperature from its highest point. By 10 p.m., the temperature has dropped but is not yet at its lowest point

The temperature at 10 a.m. and 10 p.m. is typically halfway between the daily high and daily low because it represents the transition period between the warmest and coolest parts of the day.

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Al released his balloon from the 10-yard line, and it landed at the 16-yard line. If the ball reached a height of 27 yards, what equation represents the path of his toss?​

Answers

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Find the result graphically. Click and drag the arrows to represent each term. Type in the result. 7-5​

Find the result graphically. Click and drag the arrows to represent each term. Type in the result. 7-5

Answers

7 is initially represented by 7 units to the right, Now, if we remove 5 from 7, we must move 5 units to the left, arriving at unit 2.

What is a number line?

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

On the number line, 7 is represented 7 units right from the origin.

Now subtracting 5 from 7 implies we have to go 5 units to the left so we end up in unit 2.

The graphical representation is illustrated in the attached image.

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Find the result graphically. Click and drag the arrows to represent each term. Type in the result. 7-5

a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c

Answers

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Ciara measured the length, x, of each of the insects she found underneath a rock. She recorded the lengths in the table below. Calculate an estimate of the mean length of the insects she found. Give your answer in millimetres (mm). Length (mm) 0≤x≤10 10≤x≤20 20≤x≤30 Frequency 5 6 9​

Answers

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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In triangle ABC, the length of side AC is 38cm and of side AB to the nearest centimetre

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The length of side AC in triangle ABC is approximately 13.898 cm.

To find the length of side AC in triangle ABC, we can use the law of cosines.

The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides, minus twice the product of the lengths of those two sides and the cosine of the included angle.

In triangle ABC, we are given:

∠A = 65°

AB = 7 cm

BC = 12 cm

We want to find AC.

Using the law of cosines, we have:

AC² = AB² + BC² - 2 * AB * BC * cos(∠A)

AC² = 7² + 12² - 2 * 7 * 12 * cos(65°)

AC² = 49 + 144 - 168 * cos(65°)

AC² ≈ 193.463

Taking the square root of both sides, we find:

AC ≈ √193.463

AC ≈ 13.898

Therefore, the length of side AC in triangle ABC is approximately 13.898 cm.

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Question

The length of side AC of the triangle △ABC when ∠A = 65°, AB = 7cm, and BC = 12cm.

suppose we have two urns, urn 1 and urn 2. urn 1 contains 7 red marbles and 11 white marbles. urn 2 contains 9 red marbles and 13 white marbles. the experiment consists of first choosing an urn with equally likely probability, and then drawing a marble from that urn. what is the probability of choosing urn 2 and a red marble? a) 0.2045 b) 0.3889 c) 0.3056 d) 0.5909 e) 0.1944 f) none of the above.

Answers

Using conditional probability, it is found that there is a 0.275 = 27.5% probability of choosing Urn 1 and a white marble.

What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is .

According to our question-

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Urn 1.

Event B: White marble.

Equally as likely to choose both urns, hence .

In urn 1, 11 of the 11 + 9 = 20 marbles are white, hence

0.275 = 27.5% probability of choosing Urn 1 and a white marble.

Hence, Using conditional probability, it is found that there is a 0.275 = 27.5% probability of choosing Urn 1 and a white marble.

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Which problem can be solved using the equation shown?

Which problem can be solved using the equation shown?

Answers

Answer: The first one :)

Step-by-step explanation:

If f(x)=x is the parent graph, then which equation represents the shown transformation?

If f(x)=x is the parent graph, then which equation represents the shown transformation?

Answers

y-axis 6 5 4 3 2 1 x=ax S 4 -3 2  -1 1 2 3 4 5 6 -1 -2.    

What is transformation?It refers to the act, process, or instance of transforming or being transformed. Regarding transformative learning, Mezirow indicates learning occurs when there is a transformation in one of our beliefs or attitudes, or a change of our entire perspective. Learn more in: Connecting Teachers' Dispositions With Their Teaching Philosophies2.A process of change and development. When it refers to human transformation, it implies an internal change and growth to one’s highest potential or best oneself, which affects one’s worldview, behaviors, and thought. Learn more in: Two Languages, One Self: The Story of My Bilingual Journey3.In general it is a result of an effect of environment that changes an object. In everyday practice it is a set of actions that change the state or properties of different materials, goods, services or knowledge. Learn more in: Instructional Technologies of the XXI Century: Theoretical Approach

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A transformation modifies the parent function's graph.

What is meant by Transformations?

The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.

The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.

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A light bulb consumes 16200 watt-hours in 4 days and 12 hours. How many watt-hours does it consume per day?
watt-hours per day

Answers

Answer:

3600

Step-by-step explanation:

16500/4.5 to find watt-hours per day.

The table below is constructed based on the entire senior class's gender and eye color. Using this table, what is the probability of randomly selecting a senior male? ​

The table below is constructed based on the entire senior class's gender and eye color. Using this table,

Answers

Answer:

0.491 or 49.1%.

Step-by-step explanation:

Prob(selecting a senior male)

= number of senior males / total number of students

= 82/167

= 0.491

The average math SAT score is 518 with a standard deviation of 118. A particular high school claims that its students have unusually high math SAT scores. A random sample of 60 students from this school was selected, and the mean math SAT score was 562. Is the high school justified in its claim? Explain
answers is ( choose yes/or no) , because the z score ( which is? ) is ( choose, usual or not usual) since it ( choose, does not lie ,or lies) within the range of a usual event , namely within ( choose 1, 2 or 3 standard deviations) of the mean of the sample means.
round to two decimal places as needed

Answers

The z-score is greater than 2 (the cutoff for a usual event at the 95% confidence level)

Why z-score is greater?

The answer is "Yes" because the z-score is 2.98, which is not a usual value since it lies outside the range of usual events, namely outside 2 standard deviations of the mean of the sample means.

To calculate the z-score, we use the formula:

z = (x - μ) / (σ / √(n))

where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the given values, we get:

z = (562 - 518) / (118 / √(60)) = 2.98

Since the z-score is greater than 2 (the cutoff for a usual event at the 95% confidence level), we can conclude that the high school's claim is justified.

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Let gbe a function such that g(x) = -2r + 5 and is defined on the domain (-1,3) State the range of this function in interval notation.​

Answers

Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

As the domain is (-1, 3)

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)

Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.

Answers

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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Determine the value of x and y in the diagram below.

Answers

Answer:

Where is the diagram?

Step-by-step explanation:

Where is the diagram?

Find the number that belongs
in the green box.
4
? 1°
29°
10
Round your answer to the nearest tenth.

Find the number that belongsin the green box.4? 12910Round your answer to the nearest tenth.

Answers

Answer:

  16.6°

Step-by-step explanation:

The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.

__

We choose to use a=10, b=4, C=29°.

  c² = a² +b² -2ab·cos(C) . . . . . law of cosines

  c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304

  c ≈ √46.0304 ≈ 6.78457

Then angle B (opposite side b) is ...

  sin(B)/b = sin(C)/c . . . . . . . . . law of sines

  sin(B)/4 = sin(29°)/6.78457

  B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°

The missing acute angle is about 16.6°.

Find the number that belongsin the green box.4? 12910Round your answer to the nearest tenth.

Let alpha = phi/2008 . Find the smallest positive integer n such that 2 [cos(alpha) sin(alpha) + cos (4 alpha) sin (2 alpha) + cos (9 alpha) sin (3 alpha) +.....+ cos (n^2 alpha) sin(n alpha)] is an integer

Answers

n = ceil(sqrt((2008/4phi)[90 - arccos(k(2 cos(phi/2008)))]))

How to find integer?Simplifying equation:

       2 [cos(alpha) sin(alpha) + cos(4 alpha) sin(2 alpha) + cos(9 alpha) sin(3 alpha) + ... + cos(n^2 alpha) sin(n alpha)]

     = [sin(2 alpha) + sin(8 alpha) + sin(18 alpha) + ... + sin(n^2 alpha)].

Using the formula for the sum of a geometric series:

        sin(2 alpha) + sin(8 alpha) + sin(18 alpha) + ... + sin(n^2 alpha)

     = (sin(2 alpha) - sin(2n^2 alpha))/(1 - sin(2 alpha))

     = (2 sin(n^2 alpha) cos(n^2 alpha))/(2 cos(alpha) - 1)

     = [sin(2n^2 phi/2008)]/(2 cos(alpha) - 1)

To find an integer value:

        [sin(2n^2 phi/2008)]/(2 cos(alpha) - 1)

        sin(2n^2 phi/2008) = k(2 cos(alpha) - 1)

        cos(90 - 2n^2 phi/2008) = k(2 cos(alpha) - 1)

Now, we need to find the smallest positive integer n

       90 - 2n^2 phi/2008 = ±arccos(k(2 cos(alpha) - 1))

Solving for n, we get:

       n^2 = (2008/4phi)[90 ± arccos(k(2 cos(alpha) - 1))]

       n = ceil(sqrt((2008/4phi)[90 - arccos(k(2 cos(phi/2008)))]))

We can find the smallest positive integer n by incrementing the value of k starting from 1 until ceil(k^2*alpha) is greater than or equal to n.

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Coach Gannon Bought 8 Bags Of Sunflower Seeds For The Baseball Game. Each Bag Has 2 1/4 Cups Of Seeds. If Coach Gannon Has 12 Baseplayers On The Team, How Many Cups Of Seeds Can Each Player Have?

Answers

Your answer would be 1.5 cup of seed for each student.

First, let’s multiply 8 and 2 1/4 together. You would get 18.

Next, you would divide that by 12. You would get 1.5 cups.

Last, you turn that into fraction form, if you need to. You would get 1 1/2 cups.

The answer is 1.5 or 1 1/2. Please mark Brainliest if this helped you. :))

help in don’t know what to do

help in dont know what to do

Answers

Answer:

slope 4

y intercept 0, 4

Step-by-step explanation:

Answer:

Slope: -1

y-intercept: (0, 9)

Step-by-step explanation:

The slope is -1 because -1x is the same as -x and the slope is the number before x. The y-intercept is (0, 9) because the y-intercept is what y is when x is 0 so y = -1(0) + 9 which equals 9.

2. In your own words, explain what the identification strategy of difference-in-differences is. What assumption is necessary for a difference-in-difference estimator to be interpreted causally? Graphi

Answers

The difference-in-differences (DiD) identification strategy compares the changes in outcomes between a treatment and control group before and after a treatment to estimate its causal impact.

The identification strategy of difference-in-differences (DiD) is a statistical method used to estimate the causal impact of a treatment or intervention by comparing the changes in outcomes between a treatment group and a control group over time. It allows us to measure the treatment effect by looking at the differences in outcomes before and after the treatment, both for the treated group and the control group, and then comparing these differences.

In a DiD analysis, we typically have two groups: a treatment group that receives the intervention or treatment and a control group that does not receive the intervention. The key idea is to compare the difference in outcomes between the treatment and control groups before the treatment is implemented with the difference in outcomes after the treatment.

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what do you get when you take a jack-o’-lantern and divide its circumference by its diameter?

Answers

When you take a jack-o'-lantern and divide its circumference by its diameter, you get the mathematical constant pi (π). This is a well-known mathematical formula that applies to all circles, not just jack-o'-lanterns.

Pi is defined as the ratio of the circumference of a circle to its diameter. It is a non-repeating, non-terminating decimal that has been calculated to over 31 trillion digits. Despite its seemingly random digits, pi has many interesting properties and is used in a wide range of mathematical and scientific applications, including geometry, trigonometry, calculus, and physics.

To understand why dividing the circumference by the diameter of a jack-o'-lantern (or any circle) gives you pi, you need to understand the definition of these terms. The circumference is the distance around the edge of a circle, while the diameter is the distance across the circle through its center. The ratio of the circumference to the diameter is the same for all circles, regardless of their size or shape.  

By dividing the circumference of a jack-o'-lantern by its diameter, you are essentially measuring how many times the diameter can fit into the circumference. This ratio will always be the same for all circles, and it is equal to pi (approximately 3.14159...).

In conclusion, dividing the circumference of a jack-o'-lantern by its diameter gives you the mathematical constant pi, which is a fundamental concept in mathematics and science.

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Complete the proof that mZQST + m/WVX
Y
= 180°.
pls help i don’t know what to do

Complete the proof that mZQST + m/WVXY= 180. pls help i dont know what to do

Answers

It is proved that <QST + <TSV = 180° becasue of the linear pair.

Here we know that vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

The sum of linear pair is equal to 180 degree

<QSVX= 180°

<TSR= 180°

Therefore, <QST= 90°

<TSV= 90°

Thus, <QST + <TSV = 180°

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Definition of a derivative (limit of the difference quotient)

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The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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What is the slope and y − intercept of the equation y 2x 4 *?.

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The curve has a y-intercept of -4 and a slope of 2. We will need two points on the line y = 2x - 4 to plot the graph.

Y = 2x + b, where b is the y-intercept, is how the equation y = 2x - 4 can be expressed in slope-intercept form. We must perform the b-solve in order to determine the slope and y-intercept of the equation.

The line's crossing of the y-axis is known as the y-intercept. Setting x equal to 0 in the equation yields y = 2(0) - 4 and the y-intercept, which can be found. As a result, the y-intercept is determined to be y = -4.

The pace at which a line increases is referred to as its slope. Using the coefficient of x, which is 2, we can get the slope. Consequently, the slope of the equation is 2. Y = 2x – 4.

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Full Question = What are the slope and y − intercept of the equation y 2x − 4?

What is the slope and y intercept of the equation y 2x 4 *?.

How can I factorise expressions

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Answer:

The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) . This video shows you how to solve a quadratic equation by factoring.

Step-by-step explanation:

A cutomer want to re-carpet a living room and hallway. You charge $5. 99 per quare yard to remove old carpet and $4. 50 per quare yard to intall the new carpet. The carpet and pad they elected are $16. 99 and $3. 00 per quare yard, repectively. The living room i 1712 by 20 feet and the hall i 4 by 12 feet. About how much hould you charge for thi job?

Answers

The total charge for this job is $12131.04.

Charge per square yard to remove old carpet = $5.99

Charge per square yard to install the new carpet = $4.50

Charge for carpet and pad they selected per square yard = $16.99 and $3.00

Dimension of the living room = 17 1/2 by 20 feet

⇒ 35/2 by 20 feet

Dimension of the hall = 4 by 12 feet

The living room and the hall is in the shape of rectangular.

The formula of the area of the rectangle is

A= length x width

the total area of the living room and the hall is

⇒ (35/2) x 20 + (4 x 12)  

⇒ 398 square feet.

The total cost is

⇒ 5.99 + 4.50 + 16.99 + 3. 00

⇒30.48

Thus, the total charge for this job is

⇒398 x 30.48

⇒$12131.04

Total cost (TC) in that is the overall economic cost of production and is made of variable cost, which varies in step with the amount of a terrific produced and includes inputs together with exertions and raw materials, plus fixed cost, which is unbiased of the quantity of an amazing produced and includes inputs that cannot be various in the brief term including homes and machinery, which include probably sunk prices.

Total cost in economics includes the full possibility price (blessings received from the next-nice alternative) of every issue of production as part of its constant or variable prices.

The additional total cost of one additional unit of manufacturing is known as marginal cost.

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