Struggling with geometry

Answer:

210=210

Step-by-step explanation:

5×42=5×42

210=210 proved...

The value of the expression 5 (42) = 5 (40 + 2) is equal to 210.

The expression provided is: 5 (42) = 5 (40 + 2)

Inside the parentheses, we have (40 + 2):

40 + 2 = 42

Now, we have the expression as:

5 (42) = 5 × 42

Multiply 5 by 42:

5 × 42 = 210

So, the final result is: 5 (42) = 210.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ3

The tangent line is horizontal at the point(s) (-2, 123) and (5, -22).The points on the graph of f(x) at which the tangent line has a slope of 108 are (-2, 123) and (4.67, -24.73).

Let f(x) = 2x³ - 9x² - 60x + 3. To find the points on the graph of f(x) at which the tangent line is horizontal, we need to find the critical numbers of f(x) and then determine the y-coordinates of the critical points.To obtain the critical numbers, we need to differentiate f(x).f(x) = 2x³ - 9x² - 60x + 3f'(x) = 6x² - 18x - 60. We now solve f'(x) = 0.6x² - 18x - 60 = 0. Dividing by 6, we have:x² - 3x - 10 = 0. Solving, we get:x = -2, x = 5. The critical numbers of f(x) are x = -2, and x = 5.To determine the y-coordinates of the critical points, we substitute x = -2 and x = 5 in f(x).f(-2) = 2(-2)³ - 9(-2)² - 60(-2) + 3 = 123f(5) = 2(5)³ - 9(5)² - 60(5) + 3 = -22. Therefore, the tangent line is horizontal at (-2, 123) and (5, -22). To find all points on the graph of f(x) at which the tangent line has a slope of 108, we need to solve:f'(x) = 1086x² - 18x - 60 = 1086x² - 18x - 168 = 06x² - 3x - 28 = 0. Solving for x, we have:x = -2, x = 4.666666666666667Therefore, the points on the graph of f(x) at which the tangent line has a slope of 108 are (-2, 123) and (4.67, -24.73).

To find the horizontal tangent line of a function f(x), we have to determine its critical points. The critical points are the x-values where the function's derivative is equal to zero or undefined. After getting the critical points, we substitute them into the original function f(x) to obtain the corresponding y-coordinates. These points represent the locations on the graph where the tangent line is horizontal. To find the points on the graph of f(x) at which the tangent line has slope 108, we need to solve the derivative of f(x) equals 108. This means that the slope of the tangent line at these points is 108. We then obtain the x-values, substitute them into the original function f(x), and solve for the corresponding y-coordinates.This question demonstrates the importance of differentiation in determining the behavior of a function. By differentiating the function, we can identify the critical points, slopes, and concavity of the function. By interpreting these results, we can understand the nature of the function and how it changes over its domain.

The differentiation of a function is a powerful tool that allows us to analyze its behavior and understand its properties.

To know more about tangent line visit:

brainly.com/question/23416900

#SPJ11

The solution of the given linear equation in one variable 5(3w - 2) -7= 23  is at w = 8/3.

According to the given question.

We have a linear equation in one variable 5(3w - 2) - 7 = 23.

As we know that, as we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable 5(3w -2) = 23 is given by

5(3w - 2) -7= 23

⇒ 15w - 10 -7 = 23  ( by distributive rule)

⇒ 15w -7-10 = 23

⇒ 15w -17 = 23

⇒ 15w = 23 + 17     ( adding 17 both the sides)

⇒ 15w = 40

⇒ w = 40/15

⇒ w = 8/3

Hence, the solution of the given linear equation in one variable 5(3w - 2) -7= 23  is at w = 8/3.

Find out more information about equation here:

https://brainly.com/question/28583593

#SPJ4

Answer:

No, Anthony is not correct.

Step-by-step explanation:

K is at (-4, 8), L is at (-7, 4), M is at (-2, 1)

KL

\( \sqrt{ {( - 4 - ( - 7))}^{2} + {(8 - 4)}^{2} } \)

\( \sqrt{ {3}^{2} + {4}^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5\)

LM

\( \sqrt{ {( - 7 - ( - 2))}^{2} + {(4 - 1)}^{2} } \)

\( \sqrt{ {( - 5)}^{2} + {3}^{2} } = \sqrt{25 + 9} = \sqrt{34} \)

KM

\( \sqrt{ {( - 4 - ( - 2))}^{2} + {(8 - 1)}^{2} } \)

\( \sqrt{ {( - 2)}^{2} + {7}^{2} } = \sqrt{4 + 49} = \sqrt{53} \)

From these, it follows that KLM is not an isoceles triangle.

x = number of days.

y = total number of posts.

13x = y

Answer:

11

Step-by-step explanation:

16-x

substitute with 5

16-5

11

The value is 11.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here, given that,

16-x

now, we have to ,

substitute with 5

=16-5

=11

Hence, The value is 11.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ2

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

learn more about proportion here :

https://brainly.com/question/31548894

#SPJ11

Therefore, the equation of the tangent line to the curve xe^y + ye^x = 2 at the point (0, 2) is y = -x + 2.

To find an equation of the tangent line to the curve xe^y + ye^x = 2 at the point (0, 2), we need to use the concept of differentiation.

First, we differentiate both sides of the equation with respect to x using the product rule and the chain rule:

(d/dx)[xe^y] + (d/dx)[ye^x] = (d/dx)[2]

e^y + xe^y(dy/dx) + e^x(dy/dx) + ye^x = 0

Simplifying this expression and evaluating it at the point (0, 2), where x = 0 and y = 1, we get:

e^1 + 0 + e^0(dy/dx) + 2e^0 = 0

dy/dx = -1

Therefore, the slope of the tangent line at the point (0, 2) is -1.

Next, we can use the point-slope form of a line to find the equation of the tangent line. We know the slope is -1 and the point (0, 2) lies on the line, so we can write:

y - 2 = -1(x - 0)

Simplifying this expression, we get:

y = -x + 2

To know more about tangent line,

https://brainly.com/question/28089413

#SPJ11

(a) Yes, we can. We could work for two hours, study for five hours, and play sports/do workout for three hours.

(b) Yes, we can. We could play sports/do workout for five hours, study for three hours, and take a break for two hours.

(a) Yes, we can find a way to schedule the ten hours in order to achieve the goal of +1 happiness, +24 short-term benefit, and +15 long-term benefit. We can do this by working for two hours, studying for five hours, and playing sports/doing workout for three hours. Working for two hours would give us -4 happiness, +10 short-term benefit, and +2 long-term benefit. Studying for five hours would give us +5 happiness, +20 short-term benefit, and +4 long-term benefit. Playing sports/doing workout for three hours would give us +3 happiness, -6 short-term benefit, and +9 long-term benefit. This would give us a total happiness of +1, +24 short-term benefit, and +15 long-term benefit, which meets our goal.

(b) Similarly, we can find a way to schedule the ten hours in order to achieve the goal of +13 happiness, +8 short-term benefit, and +19 long-term benefit. We can do this by playing sports/doing workout for five hours, studying for three hours, and taking a break for two hours. Playing sports/doing workout for five hours would give us +5 happiness, -5 short-term benefit, and +15 long-term benefit. Studying for three hours would give us +15 happiness, +12 short-term benefit, and +3 long-term benefit. Taking a break for two hours would give us +2 happiness, -2 short-term benefit, and +1 long-term benefit. This would give us a total happiness of +13, +8 short-term benefit, and +19 long-term benefit, which meets our goal.

Learn more about hours here

https://brainly.com/question/13533620

#SPJ4

All the batter would fit into the pan as it has more volume than half a gallon.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know, One gallon is equal to 231 cubic inches.

Therefore, Half a gallon is equal to 231/2 cubic inches.

The volume of the pan is (9×4×4) cubic inches.

= 144 cubic inches.

Now, 144 > 231/2, so it would fit.

Q. Anita is baking pumpkin bread and has a half gallon of batter. She plans to pour the batter into a glass pan with a length of 9 inches, a width of 4 inches, and a depth of four. Determine if all the batter will fit in the pan.

learn more about cuboids here :

https://brainly.com/question/29424737

#SPJ9

Answer:

\(x=-1,\:y=-1\)

Step-by-step explanation:

\(\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}\)

\(\mathrm{Add\:the\:equations}\)

\(6x+4y=-10\)

\(+\)

\(\underline{-6x+5y=1}\)

\(9y=-9\)

\(\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}\)

Solve 9y=-9 for y: y=-1

\(\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1\)

Solve -6x+5(-1)=1 for x: x=-1

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=-1,\:y=-1\)

\(\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}\)

Total cards = 52

Total diamond cards = 13

So, probability of getting a card of diamond,

P(diamond) = 13/52 = 1/4

Now,

Total cards with number seven = 4

So, probability of getting a seven,

P(seven) = 4/52 = 1/13

Answer:

B

Step-by-step explanation:

To solve this equation you use the y=mx+b format

Considering that the graph starts at 40 (b) and increase 10 every time that means that the m is 10

Sorry that probably made no sense

The answer might be 433.5. I'm not quite for sure

Step-by-step explanation:

1734 divided by 4 = 433.5

The correct response is d) s, p, d, f. the sublevels in a period that contains 32 elements is s, p, d, f.

Mathematical expressions for frequency and period show their reciprocal correlations as follows: Period is calculated by dividing the total time by the number of cycles. The first day of regular bleeding marks the start of your period. Not counting is spotting. Cycle Day 1 would be the first day of your period; Cycle Day 2 would be the second day of your period; Cycle Day 3 would be the third day of your menstrual flow; and so on. Second is the SI unit of time (s). A punctuation mark that is identical to the full stop is used as the decimal separator as well as for other uses and is referred to as a point in the English-speaking world. It is known as a dot in computing.

To know more about period here

https://brainly.com/question/24255969

#SPJ4

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

Answer:

4

Step-by-step explanation:

L x W = A

A ÷ L = W

The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ9

Answer:

2 times

Step-by-step explanation:

On the base of given lengths of the mast, cable, and base distance, the mast is not vertical. The discrepancy in the Pythagorean equation suggests an inconsistency in the dimensions of the system.

To determine if the mast is vertical, we need to consider the geometry of the situation and the lengths of the mast and the cable.

Given that the height of the mast is 5 m and the cable is 6.25 m long, we can visualize the scenario as a right triangle.

The mast represents the vertical side (opposite side) of the triangle, the cable represents the hypotenuse, and the distance from the base of the mast to the point where the cable is anchored represents the base (adjacent side) of the triangle.

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, as per the Pythagorean theorem.

Applying the theorem to this situation, we have:

(base)^2 + (height)^2 = (cable)^2.

Substituting the given values:

(3.75)^2 + (5)^2 = (6.25)^2.

Simplifying:

14.0625 + 25 = 39.0625.

39.0625 ≠ 39.0625.

The equation does not hold true, indicating that the mast is not vertical. The discrepancy suggests that the length of the cable is not appropriate for the given height and base distance.

To have a vertical mast, the length of the cable should be equal to the distance between the base and the point where the cable is anchored. In this case, the cable should be 3.75 m long, which is equal to the distance between the base and the anchor point. However, the given cable length is 6.25 m, which does not correspond to a vertical configuration.

For more such question on lengths. visit :

https://brainly.com/question/28322552

#SPJ8

x^2 +2x - 6 =0

We can use the quadratic equation to solve

a = 1 b = 2 c = -6

There are two solutions

-1 + sqrt(7)

and

-1 - sqrt(7)

Therefore , the solution of the given pentagon is the wall has a square footage of 80.7293. Asher requires four cans in total.

A polygon with five sides and five angles is called a pentagon. Penta and Gonia, two words that each denote five angles, are the components of the word "pentagon." The shape is created when the sides of such a pentagon come together at their ends.

Here,

Given that a storage shed's wall has a pentagonal shape.

A pentagon's surface can be separated into two shapes. The first shape is a rectangle, while the second is a triangle.

The rectangular shape measures 1+1+1 = 3 meters in length.

(1 + 1) = 2 metres is the width.

3 x 2 = 6 square meters make up the space of the rectangle.

Three meters make up the triangle's base.

The triangle measures 1 meter in height.

The triangle's area is 1/2 base, 1/2 height, or 1/2 x 3-1, or 3/2 square meters.

The pentagon's total area is 7.5 square meters, or 6 + 3/2 square meters.

10.7639 square feet are equal to 1 square meter.

(7.5 x 10.7639) square feet are equal to 7.5 square meters.

= 80.7293 square meters

24 square feet are covered by one can of paint.

He requires 80.7293/24 = 3.36 square feet in order to cover it.

Therefore, he requires a minimum of 4 cans oil paint.

To learn more about area of a pentagon, visit:

https://brainly.com/question/17054992

#SPJ1

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

To know more about parallelogram refer here:

https://brainly.com/question/1563728#

#SPJ11

The required solution of the given system of equation is y=2-9x and y=x/2-1.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The is given system of equation

2-9x=x/2-1

According to given question we have

The equation is

2-9x=x/2-1

We have to split into different system of equation to find the solution of the problem we have

So,

y=2-9x

and

y=x/2-1

Therefore, the required solution of the given system of equation is y=2-9x and y=x/2-1.

Learn more details about equation here:

https://brainly.com/question/10413253

#SPJ1

Answer:

6/21

Step-by-step explanation:

bc thats the answer

Answer:

Simplified: 6/15 = 2/5

Step by-step explanation:

The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To know more about effective interest rate visit:

https://brainly.com/question/29514432

#SPJ11

The Initial value is computed at: 190

The Growth Factor is computed at: 0.5

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth. When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.

Given: Q = 190 / 2t

To compute: If \(Q = ab^t}\)

Then,

→ 1 / aˣ = (1 / a)ˣ

Now we know that:

∵ (1 / aˣ) = (1 / a)ˣ

⇒ Q = 190 / 2t = 190 * (1 / 2t)

⇒ Q = 190 * (1 / 2)

\(Q = 190 * (\frac{1}{2})^{t}\)

\(Q = 190 * (0.5)^{t}\)

Comparing the aforementioned expression to:

\(Q = ab^{t}\)

Initial Value, a = 190

Growth Factor, b = 0.5

To know more about Exponential Function, refer to this link:

https://brainly.com/question/14355665

#SPJ4

Answer:

B quadrant 4

Step-by-step explanation:

to check it, calculate the sin and cos of 300°

1.a The probability of throwing at most 2 heads in 5 throws is more probable.

1.b A total of 2^4 = 16 outcomes.

1.c The probability of selecting a black ball, a red ball, and then another black ball is 5/56.

1a. Probability of throwing exactly 15 heads in 20 throws

Probability of getting a head is p = 0.65, and the probability of getting tails is q = 1 - 0.65 = 0.35.

Let X be the random variable which counts the number of heads in 20 throws.

Then X follows the binomial distribution B(20, 0.65).P(X = 15) = 20C15 * 0.65^15 * 0.35^5= 0.16

Probability of throwing at most 2 heads in 5 throws

Let Y be the random variable which counts the number of heads in 5 throws.

Then Y follows the binomial distribution B(5, 0.65).P(Y ≤ 2) = P(Y = 0) + P(Y = 1) + P(Y = 2)

                                                                                                  = 0.01 + 0.08 + 0.25

                                                                                                  = 0.34

Therefore, the probability of throwing at most 2 heads in 5 throws is more probable.

1b. Suppose we flip a fair coin 4 times.

For what combination(s) do there exist exactly 3 permutations?

There are a total of 2^4 = 16 outcomes.

The combinations that exist in exactly 3 permutations are HTTH, HTHT, THHT, THTH, and HHTT.

1c. Probability of selecting a black ball, a red ball, and then another black ball We want to compute the probability of pulling out 3 balls, without replacement, from a box with 5 red balls and 3 black balls.

The total number of ways of pulling out 3 balls is 8C3.

The probability of pulling out a black ball on the first draw is 3/8.

The probability of pulling out a red ball on the second draw is 5/7.

The probability of pulling out another black ball on the third draw is 2/6 = 1/3.

So, the required probability is (3/8) * (5/7) * (1/3) = 5/56.

Therefore, the probability of selecting a black ball, a red ball, and then another black ball is 5/56.

Learn more about probability from this link:

https://brainly.com/question/13604758

#SPJ11