please find the area with the formula or how you found the anwser use link below

Measurement can be used to determine the amount of boxes that can fit into Truck H is 2(20 boxes) = 2 cubic yards

Algebraic expressions are defined as those mathematical expressions that consists of variables, terms, coefficients, constants and factors.

Algebraic expressions are also known  to be composed of arithmetic operations, such as;

From the information given, we have that;

For Truck G = 20 boxes

And 20 boxes = 1 cubic yard

Then,

Truck H = 2(Truck B)

Truck H = 2(20 boxes)

Truck H = 40 boxes

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The independent variable in the research question is the location of the universities, with SDSU being the specific location of interest. The dependent variable is the time it takes to find a parking spot.

The research question is seeking to compare the time it takes to find a parking spot at SDSU to the time it takes at other San Diego universities, with the location being the independent variable that may affect the dependent variable, which is the time taken to find a parking spot.

By identifying the independent and dependent variables in the research question, researchers can design a study that will collect data on these variables, analyze the data, and

draw conclusions about whether there is a significant difference in the time it takes to find a parking spot at SDSU compared to other universities in San Diego.

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The equation that has an initial value of 10 and has a rate of change of 4 is y= 4x+ 10.

We have,

Initial value= 10

Rate pf change= 4

We know from slope intercept form

y= mx+ b

where is m is slope or rate of change and b is y intercept or initial value.

So, we can take m = 4 and b= 10

Then, the required equation is

y= 4x +10.

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The length of each side of the tile with an area of 790 cm² correct to 3 significant figures is 28.1 cm.

Significant figures are the digits in a number that give a reliable accuracy of the quantity of a measurement.

The significant figures do not include the zeros immediately after the decimal place but those that occur between other numbers are regarded as significant.

The area of a square tile = Length x Length

= 790 cm²

The length of each side = √790 = 28.1069

= 28.1 cm

Thus, we can conclude that the length of each side of the square tile is 28.1 cm.

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The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

We have,

Equation of circle: x²+ y² – 2x – 8 = 0

The standard equation of a circle is

x² + y² + 2gx + 2fy + C= 0

where Centre is (-g, -f)

and, radius = √g²+f²-C

from given equation the center is

2gx = -2x

x= -1

and,  2fy = 0

f = 0

So, the Centre = (-(-1), 0) = (1, 0)

Now, r = radius = √g²+f²-C

r= √1²+0²-(-8)

r=√9

r = 3 units

Hence, the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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The given side lengths, 6 cm and 8 cm, satisfy the Pythagorean theorem because $6^2 + 8^2 = 100 = 10^2$, which means that the triangle is a right triangle.

To determine if there is more than one right triangle with whole-number side lengths that includes these given side lengths, we need to check if there exist other pairs of whole numbers that satisfy the Pythagorean theorem and include 6 cm and 8 cm as two of their sides.

Let's call the third side of the right triangle x. Then we have:

62+82=x26^2 + 8^2 = x^262+82=x2

which simplifies to:

36+64=x236 + 64 = x^236+64=x2

100=x2100 = x^2100=x2

x=100=10x = \sqrt{100} = 10x=100

​=10

So the only other possible triangle with whole-number side lengths that includes the given side lengths has side lengths of 6 cm, 8 cm, and 10 cm.

Therefore, there is only one other right triangle with whole-number side lengths that includes the given side lengths, and it is unique.

The mean excess return of the value-weighted index portfolio is 19.458%, and the mean return of the index portfolio, adjusted for the risk-free rate, is 21.458%.

To calculate the mean excess return of the value-weighted index portfolio, we need to first calculate the total market capitalization of the three stocks:

Total Market Cap = $3,000 + $2,000 + $1,500 = $6,500

Next, we can calculate the weight of each stock in the index portfolio as follows:

Weight of Stock A = $3,000 / $6,500 = 0.4615

Weight of Stock B = $2,000 / $6,500 = 0.3077

Weight of Stock C = $1,500 / $6,500 = 0.2308

The capitalization-weighted beta of the portfolio can then be calculated as the sum of the product of each stock's weight and its beta:

Beta of Index Portfolio = (0.4615 x 0.15) + (0.3077 x 0.95) + (0.2308 x 1.7) = 1.081

The mean excess return of the index portfolio can be calculated using the single-index model as:

Mean Excess Return = Beta of Index Portfolio x Standard Deviation of Market-Index Portfolio

= 1.081 x 18%

= 19.458%

Finally, we need to adjust for the risk-free rate to obtain the actual mean return of the index portfolio. If the risk-free rate is 2%, then the mean return of the index portfolio would be:

Mean Return = Mean Excess Return + Risk-Free Rate

= 19.458% + 2%

= 21.458%

Therefore, the mean excess return of the value-weighted index portfolio is 19.458%, and the mean return of the index portfolio, adjusted for the risk-free rate, is 21.458%.

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Answer:  D

Step-by-step explanation:

Point of tangency is where the line on the left touches the circle.  Have you ever heard the term "She's going off on a tangent"- it means they only touch the topic(tangent point and go off (tangent line) and talk way off away from where you need to be(circle)

So you can see from the graph the point of tangency (where line touches circle is (-5,0)

the equation for the line is going to be a constant.  The line only touches the x-axis never the y-axis at all points it is x=-5

so the equation of the line x= -5

The probability of passing the quiz by randomly guessing answers is very low, approximately 0.02%.

To pass the quiz with a minimum passing grade of 60%, a person needs to answer at least 12 questions correctly out of the 20 total questions.

If a person is making random guesses for all of the answers, the probability of guessing one question correctly is 1/4, since there are 4 possible answers for each question. The probability of guessing one question incorrectly is 3/4.

Using the binomial probability formula, we can find the probability of passing the quiz by correctly guessing at least 12 questions:

P(X >= 12) = 1 - P(X < 12)

where X is the number of questions answered correctly.

P(X < 12) = sum of the probabilities of getting 0, 1, 2, ..., or 11 questions correct:

P(X < 12) = C(20,0)(1/4)⁰(3/4)²⁰ + C(20,1)(1/4)¹(3/4)¹⁹ + ... + C(20,11)(1/4)¹¹(3/4)⁹

where C(20,0), C(20,1), ..., C(20,11) are the binomial coefficients.

We can use a calculator or a computer to evaluate this sum of probabilities, or we can use a normal approximation to the binomial distribution if we assume that np = 20(1/4) = 5 and n x (1-p) = 20 x (3/4) = 15 are both greater than 10.

Using the normal approximation, we can find the mean and standard deviation of the binomial distribution:

mean = np = 20(1/4) = 5

Standard deviation = √(np(1-p)) = √(20*(1/4) x (3/4)) = √(15/2) = 1.94 (rounded to 2 decimal places)

Then, we can standardize the distribution by subtracting the mean and dividing by the standard deviation:

z = (12 - 5) / 1.94 = 3.61 (rounded to 2 decimal places)

Using a standard normal distribution table or a calculator, we can find the probability of getting a z-score greater than 3.61:

P(Z > 3.61) = 0.0002 (rounded to 4 decimal places)

Therefore, the probability of passing the quiz by randomly guessing answers is very low, approximately 0.02%.

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The volume of this sphere is 1607. 68 in³

It is important to note that the formula that is used to calculate the volume of a sphere is expressed as;

V = 4/3 πr3

Given that the parameters are;

From the information given,

Substitute the values, we have;

Volume = 4/3 × 3.14 ×8³

Find the cube values, we get;

Volume = 4/3 × 3.14 × 512

Multiply the values

Volume = 2143. 57 in³

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The volume of 8 rectangular prism stacked base to base is 2560 in³.

Volume is a measure of three-dimensional space.

To calculate the volume of 8 rectangular prism stacked base to base, we use the formula below

Formula:

Where:

From the question,

Given:

We find the value of h using the formula for the surface area of a prism

Given:

Substitute these values into equation 2

Finally, we subtitute into equation 1

Hence the volume is 2560 in³.

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The measures of center or variability are greater than 5 degrees

This Week's Mean: (4 + 13 + 6 + 9 + 8) / 5 = 40 / 5 = 8

Last Week's Mean: (10 + 9 + 5 + 6 + 5) / 5 = 35 / 5 = 7

Then the ranges

This Week's Range: (13 - 4) = 9

Last Week's Range: (10 - 5) = 5

The MAD for both weeks

|(4 - 8)| + |(13 - 8)| + |(6 - 8)| + |(9 - 8)| + |(8 - 8)|

= 4 + 5 + 2 + 1 + 0 = 12

This Week's MAD: 12 / 5 = 2.4

|(10 - 7)| + |(9 - 7)| + |(5 - 7)| + |(6 - 7)| + |(5 - 7)| = 3 + 2 + 2 + 1 + 2 = 10

Last Week's MAD: 10 / 5 = 2

Hence the measures of center or variability are greater than 5 degrees are:

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The remainder of the synthetic division of x^4 - 4x^2 + 10x + 13 is 33 which is a non-zero number, x - 2 is not a root of the polynomial.

The remainder of the synthetic division of x^4 - 4x^2 + 10x + 13 is obtained as follows:

Using the method of synthetic division x^4 - 4x^2 + 10x + 13 to divide by x - 2 using synthetic division:

2 | 1 0 -4 10 13

| 2 4 0 20

|--------------

| 1 2 0 10 33

The final remainder is 33.

Therefore, by synthetic division:

x^4 - 4x^2 + 10x + 13 = (x - 2)(x^3 + 2x^2 + 10) + 33

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Answer:

Let x be the length of one side of the first carpet in feet. Then, the area of the first carpet is x^2 square feet.

Let y be the length of one side of the second carpet in feet. Then, the area of the second carpet is y^2 square feet.

From the problem, we know that the sum of the areas of the two carpets is 720 square feet:

x^2 + y^2 = 720

We also know that the difference of the areas of the two carpets is 432 square feet:

x^2 - y^2 = 432

We can solve this system of equations by using the method of substitution. Solving for x^2 in the second equation, we get:

x^2 = y^2 + 432

Substituting this expression for x^2 into the first equation, we get:

y^2 + 432 + y^2 = 720

Simplifying and solving for y, we get:

2y^2 = 288

y^2 = 144

y = 12

Substituting this value of y into the equation x^2 + y^2 = 720 and solving for x, we get:

x^2 + 144 = 720

x^2 = 576

x = 24

Therefore, the dimensions of the first carpet are 24 feet by 24 feet, and the dimensions of the second carpet are 12 feet by 12 feet.

Step-by-step explanation:

The approximate number of female members of the army reserve in 2019 was 75,467.

If 2 out of every 5 members of the army reserve were female, then the proportion of female army reserve personnel can be represented as:

=  2/5

= 0.4.

Now, we can multiply the proportion to total number of army reserve to get the number of female members which is:

= 0.4 x 188,667

= 75,466.80

= 75,467

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Answer:

x ≈ 11.3

Step-by-step explanation:

using the cosine ratio in the right triangle

cos61° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{DE}{DF}[/tex] = [tex]\frac{5.5}{x}[/tex] ( multiply both sides by x )

x × cos61° = 5.5 ( divide both sides by cos61° )

x = [tex]\frac{5.5}{cos61}[/tex] ≈ 11.3 ( to the nearest tenth )

The graph of the population equation is on the image at the end.

Here we know that the function p(h) models the population of bacteria as the function of h, the number of hours.

And we can write this as the exponential function:

p(h) = 150*(3)^h

The graph of this will be an exponential that starts at 150 and triples for each increase in the horizontal variable, then the graph of this will be like the one you can see at the end of the answer.

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The composite figure has an area of 142 square yards

The composite figure has one square, right triangle, two rectangles

Area of square = side × side

=8×8

=64 yards

Area of triangle =1/2×8×6

=24 square yards

Area of 1st rectangle = 3×6

=18 square yards

Area of 2 nd rectangle = 9×4

=36 square yards

Total area is sum of square, rectangles and triangle

total area = 64+24+18+36

=142 square yards

Hence, the composite figure has an area of 142 square yards

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Answer: f(x)=x-2

Step-by-step explanation:

Linear function means a straight line, so graph each one to find which is a straight line

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.

Let

cost of one small box of fruit = x

cost of one large box of fruit = y

15x + 15y = 390

20x + 25y = 592.50

From (1)

x + y = 26

x = 26 - y

Substitute x = 26 - y into (2)

20x + 25y = 592.50

20(26 - y) + 25y = 592.50

520 - 20y + 25y = 592.50

- 20y + 25y = 592.50 - 520

5y = 72.50

divide both sides by 5

y = 72.50/5

y = 14.5

Substitute y = 14.5 into

15x + 15y = 390

15x + 15(14.5) = 390

15x + 217.5 = 390

15x = 390 - 217.5

15x = 172.5

divide both sides by 15

x = 172.5/15

x = 11.5

Therefore, small box cost $11.5 and large box cost $14.5

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Answer:

2((4.5)(6) + (4.5)(4) + (6)(4))

= 2(27 + 18 + 24) = 2(69) = 138 square cm

Based on the information provided dilate triangle ABC by a scale factor of 3, with point D as the center of dilation.

To perform a dilation, each point in the original figure is transformed by multiplying its coordinates by the scale factor and then translating the figure according to the center of dilation. In this case, each point in triangle ABC will be multiplied by a scale factor of 3, with point D as the center of dilation.

To dilate the triangle by a scale factor of 3, you can follow these steps

Hence,  if the scale factor is greater than 1, the dilated figure will be larger than the original. If the scale factor is between 0 and 1, the dilated figure will be smaller than the original. If the scale factor is negative, the figure will be reflected across the center of dilation.

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The probability of spinning an even number on the spinner is 40%.

The probability of picking a diamond from a standard deck of playing cards is 25%.

P(even) = number of even sections / total number of sections

= 2/5

= 0.4

= 40%

Therefore, the probability of spinning an even number on the spinner is 40%.

P(diamond) = number of diamonds / total number of cards

= 13/52

= 1/4

= 0.25

= 25%

Therefore, the probability of picking a diamond from a standard deck of playing cards is 25%.

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Answer:

[tex]m_{perpendicular}[/tex] = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - [tex]\frac{1}{6}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{1}{6}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{6} }[/tex] = 6

Answer:

8 and -5

Step-by-step explanation:

8 - 5 = 3

(-5) (8)=-40

Answer:

-8,+5

Step-by-step explanation:

-8+5 = 3

-8×+5 = -40

Answer:

These are all the 3D shapes ;cone, cylinders, cuboid,cubes, sphere, rectangular prism, pyramid

Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides.

Step-by-step explanation:

Mark brainliest, pls

Answer:

19683

Step-by-step explanation:

3 to the power of 8 is 6561,

so just put 6561 multiplied by itself 3 times.

(6561 X 6561 X 6561).

Answer:

3⁸ × 3 = 19,683

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((