Look at this graph: what is the slope ? Simply your answer and write it as Proper fraction improper fraction, or interfere

Answer:

10

Step-by-step explanation:

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Answer: L = 10

Explanation:

The formula is L x W x H

We can do L * 0.5 * 11 = 55

L * 5.5 = 55

L  = 10

I hope this helped!

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Answer:

the area = 25

Step-by-step explanation:

a= side length x side length

a = 5 x 5

a = 25

Answer:

-2

-1

-2

Step-by-step explanation:

please forgive me, but again, this is the simplest of the simplest things. how is that a problem ?

this costs so much more time to just put it in here and then copy answers than just doing it. this is literally a matter of seconds.

the functional value is -2 for all x that are not equal to 2.

and the functional value is -1, when x = 2

so, what is the problem ?

please see my other answer for more details on the solution.

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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It is given that the graph represents Ms S and The equation represents Ms J.

The equation from the graph for Ms S is given by:

So in one minute, Ms S completes 10 meters.

She will complete 60 meters in the time calculated as follows:

So Ms S will complete the race in 6 minutes.

Now Ms J will compelete 60 meters in time calculated as follows:

Hence Ms J will complete the race in 5.625 minutes.

Hence Ms J will win the race

Option B is correct.

The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

If the number of boys on the honor roll increased by 19% and the number of girls on the honor roll increased by 20%, the total number of students on the honor roll increased by approximately 19.3% this year.

To solve this problem, we first need to calculate the new number of boys and girls on the honor roll this year. We know that the number of boys on the honor roll increased by 19%, which means that there are now:

100 + (19/100)*100 = 119 boys on the honor roll this year

Similarly, the number of girls on the honor roll increased by 20%, which means that there are now:

50 + (20/100)*50 = 60 girls on the honor roll this year

Therefore, the total number of students on the honor roll this year is:

119 + 60 = 179

To find the percentage increase in the total number of students on the honor roll, we need to compare this number to the total number of students on the honor roll last year:

100 + 50 = 150

The percentage increase is given by the formula:

( new value - old value ) / old value x 100

Substituting the values we have calculated, we get:

( 179 - 150 ) / 150 x 100 = 19.3%

We round this to the nearest tenth, which gives us an answer of 19.3%.

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Answer:

-3x+4y=2

Step-by-step explanation:

i don't know the answer

the answer is -3 the steps are listed in the image by simply clicking on it .

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

a) \( p = 0.5\)

b) \( \hat p= \frac{X}{n}= \frac{154}{329}= 0.468\)

c) \(0.468 - 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.423\)

\(0.468 + 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.513\)

And the 90% confidence interval for the true proportion is given by (0.527;0.593).

Step-by-step explanation:

Part a

For this case we don't have any prior info given so then the probability assumed for this case is:

\( p = 0.5\)

Part b

For this case the proportion of success is given by:

\( \hat p= \frac{X}{n}= \frac{154}{329}= 0.468\)

Part c

The confidence interval for the true proportion would be given by this formula

\(\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

For the 90% confidence interval the value of and , and the critical value would be given by:

\(z_{\alpha/2}=1.64\)

The confidence interval is given by:

\(0.468 - 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.423\)

\(0.468 + 1.64 \sqrt{\frac{0.468(1-0.468)}{329}}=0.513\)

And the 90% confidence interval for the true proportion is given by (0.527;0.593).

Answer:

i think 6 not sure tho sorry if its worng

Answer:

Im not sure if this is right but hope it gives u an idea

Step-by-step explanation:

so to find a Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

so for number 12

you do smting like this

A leg: 17

B leg: 19

Which would give you

\(c= \sqrt{a^{2} +b^{2}} = \sqrt{17^{2} +19^{2} } = 25.4951\)

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

-------------------------------------------------------------------------------------------------------------

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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add 12 with 16 by 20 it gives you 48 cubic inches

12 +16+20=48 cubic inches

Answer:

The small angle is 20

The large angel is 160

Step-by-step explanation:

x + y = 180

x = 8y                Substitute for x in the top equation

8y + y = 180      Combine

9y = 180            Divide by 9

y = 180/9

y = 20

x = 8y

x = 8 * 20

x = 160  

The third term in the expansion of the expression (5x - 7y)³ is 735xy².

Given expression is,

(5x - 7y)³

We have to expand this.

We know that,

(a + b)³ = a³ - 3a²b + 3ab² - b³

Using this,

(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³

               = 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³

               = 125x³ - 525x²y + 735xy² - 343y³

Here the third term is 735xy².

Hence the third term is 735xy².

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Answer:

-98

Step-by-step explanation:

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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b. You're looking for the probability

Pr [72,972 ≤ X ≤ 90,043]

Transform X to Z ∼ Normal(0, 1) using the rule

X = µ + σ Z

with µ = 64,436 and σ = 17,071. Then the probability is

Pr [(72,972 - µ)/σ ≤ (X - µ)/σ ≤ (90,043 - µ)/σ]

≈ Pr [0.5000 ≤ Z ≤ 1.5000]

You probably have a z-score table available, so you can look up the probabilities to be about

Pr [Z ≤ 0.5000] ≈ 0.6915

Pr [Z ≤ 1.5000] ≈ 0.9332

and then

Pr [0.5000 ≤ Z ≤ 1.5000] ≈ 0.9332 - 0.6915 = 0.2417

c. The 75th percentile word count that separates the lower 75% of the distribution from the upper 25%. In other words, its the count x such that

Pr [X ≤ x] = 0.75

Transforming to Z and looking up the z-score for 0.75, we have

Pr [(X - µ)/σ ≤ (x - µ)/σ] ≈ Pr [Z ≤ 0.6745]

so that

(x - µ)/σ ≈ 0.6745

x ≈ µ + 0.6745σ

x ≈ 75,950

d. Because the normal distribution is symmetric, the middle 60% of novels have word counts between µ - k and µ + k, where k is a constant such that

Pr [µ - k ≤ X ≤ µ + k] = 0.6

Also due to symmetry, we have

Pr [µ - k ≤ X ≤ µ + k] = 2 Pr [µ ≤ X ≤ µ + k]

⇒   Pr [µ ≤ X ≤ µ + k] = 0.3

Transform X to Z :

Pr [(µ - µ)/σ ≤ (X - µ)/σ ≤ (µ + k - µ)/σ] = 0.3

⇒   Pr [0 ≤ Z ≤ k/σ] = 0.3

⇒   Pr [Z ≤ k/σ] - Pr [Z ≤ 0] = 0.3

⇒   Pr [Z ≤ k/σ] - 0.5 = 0.3

⇒   Pr [Z ≤ k/σ] = 0.8

Consult a z-score table:

Pr [Z ≤ k/σ] ≈ Pr [Z ≤ 0.8416]

⇒   k/σ ≈ 0.8416

⇒   k ≈ 14,367

Then the middle 60% of novels have between µ - k = 50,069 and µ + k = 78,803 words.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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Answer: C & D

Step-by-step explanation: 3:5 is just 6:10 simplified and 24:40 is 6:10 times 4.

Hope this helps!

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Answer:

C and B

Step-by-step explanation:

The ratio of 6:10 is 3/5.

20:12 = 5/3

32:50 = 16/25

3:5 = 3/5

24:40 = 3/5

14:80 = 7/40

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

The correct option is A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3.

A quadratic function is a type of polynomial function with a degree of two, represented by a parabolic curve when graphed, and can have a maximum or minimum point known as the vertex.

To determine the correct option, we need to compare each feature given in the options with the graph. Here are the steps:

Step 1: Identify the vertex of the graph.

From the graph, we can see that the vertex is located at (–3,4).

Step 2: Identify the y-intercept.

From the graph, we can see that the y-intercept is located at (0,–5).

Step 3: Identify the x-intercepts.

From the graph, we can see that there are two x-intercepts located at (1,0) and (5,0).

Step 4: Identify the axis of symmetry.

The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two symmetric halves. From the graph, we can see that the axis of symmetry is the vertical line x = –3.

Comparing the features given in the options with the graph, we can see that option A matches all the features correctly.

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Answer:

Step-by-step explanation:

You want the maximum possible number of solutions to the equation

  ||ax -b| +c| = d

The values of 'a' and 'b' represent a vertical scale factor and a horizontal shift, so don't really contribute to the number of possible solutions. That means we can consider only the equation ...

  ||x| +c| = d

Positive c

We know |x| is always positive, and may have the same value for two different values of x. For positive 'c', the outside absolute value function does nothing, so the equation is effectively ...

  |x| = d-c

For d < c, there can be no solutions. For d = c, there will be one solution, and for d > c, there will be two solutions.

Negative c

When 'c' is negative, then sum |x| +c may have either sign. This gives rise to another pair of possible solutions, for a total of four solutions.

The attached graph shows the two cases. The red graph shows the left side expression with c > 0; the purple graph shows the left side expression with c < 0. The orange horizontal line represents a value of 'd'. The number of intersection points with that horizontal line is the number of possible solutions to the given equation.

For c > 0, there are two possible solutions.

For c < 0, there are four possible solutions.

Answer: C. The third graph.

Step-by-step explanation:

A function assigns the values. The graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2) can be drawn as shown below.

A function assigns the value of each element of one set to the other specific element of another set.

A function assigns the values. The graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2) can be drawn as shown below.

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The measure of largest exterior angles is 150 degrees

Exterior angles are defined as angles of a polygon formed or created by two the sides of that polygon and sharing a common endpoint.

It is important to note that the exterior angle of a triangle is congruent to the sum of the two non-adjacent interior angles that are opposite to each other.

They are also known to be angles formed by a transversal line as it cuts through one of two lines and it is located on the outside part of the line.

Given the angles as;

Note that the sum of exterior angles are 360degrees

5x° + 9x° + 10x° = 360°

collect like terms

24x = 360

Make 'x' the subject of formula by dividing both sides by 24

x = 360/24

x = 15

But the largest angle is 10x = 10(15) = 150°

Hence, the value is 150°

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