What percent is represented by the shaded area? A large rectangle with 25 equal sections, 11 of which are shaded

Answer:

a) WS, ZV, YU

b) VU

c) ZW

d) WXY

e) None

f) TU, TV, UV, XY, XZ, YZ

g) SW, VX, VZ, WX, WZ, YZ

Step-by-step explanation:

A prism is a polyhedron that has:

From inspection of the give diagram, the figure appears to be a quadrilateral prism with bases STUV and WXYZ.

Parallel line segments

a) Segments parallel to XT:

b) Segments parallel to ZY:

c) Segments parallel to VS:

Planes

d) Planes parallel to plane STU:

e) Planes parallel to plane UVZ:

Skew lines

Skew lines are a pair of non-coplanar lines that:

f) Segments skew to SW:

g) Segments skew to UT:

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

Answer:

Step-by-step explanation:

Step 1

Data of Roger,

Roger runs 1 mile in 21 minutes.

So, Rate by which Roger is running = 1/21 mile/ minute.

Let, Roger runs for x minutes.

So, total distance ran by Roger = rate * time = x/21 mile.

Step 2

Data of Jeff,

Jeff runs 1 mile in 18 minutes.

So, Rate by which Jeff is running = 1/18 mile/ minute.

As Jeff gives Roger a 1 minute head start, so Jeff will run for (x-1) minutes.

So, total distance ran by Jeff = rate * time = (x-1)/18 mile.

Step 3

Equation:

distance = distance

x/21 = (x-1)/18

18x = 21x-21

3x = 21

x = 7 minutes (Roger time)

Roger will run rt = (1/21)7= 1/3 mile

x-1 = 6 minutes (Jeff time)

Jeff will run rt = (1/18)6 = 1/3 mile

Answer:

\(y = (x-2)^{2} -4\)

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so \(2^{2}\)

\(y + ? = x^{2} - 4x + ?\)

\(y + 2^{2} = x^{2} - 4x + 2^{2}\)

\(y + 4 = x^{2} - 4x + 4\)

Now we can factor the expression

\(y + 4 = (x-2)^{2}\)

Move the 4 to the other side to isolate y which changes the sign

\(y = (x-2)^{2} - 4\)  

Answer:

Step-by-step explanation:

80x(1+0.15)=80x1.15

                 =92

Answer:

x^3-6x^2-4x-8

Step-by-step explanation:

First you would multiply (x-2) by itself (x-2) to get

x^2-2x-2x+4

then you would combine like terms

x^2-4x+4

Then you would multiply that by x-2

(x^2-4x+4)(x-2)

x^3-2x^2-4x^2-8x+4x-8

then you combine like terms

x^3-6x^2-4x-8

Step-by-step explanation:

1 2/5 - (-3/5)

1 2/5 + 3/5

7/5 + 3/5

10/5

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

Enter the following transactions into richard’s checkbook register and state his ending balance: date type description amount 03/01 check #204 blue sky apartments $455. 00 03/05 dep payroll automatic deposit $390. 36 03/08 debit benny’s hamburgers and fries $9. 20 03/15 check #205 car payment $251. 59 03/19 dep payroll automatic deposit $390. 36 a. $715. 79 b. $1,009. 81 c. $780. 72 d. $880. 24.

Answer:

4/7

Step-by-step explanation:

numbers between 8 to 15 is 7

so d even numbers are 4

that is d answer is 4/7

The probability that the number is an even number is 1/2.

The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.

A number from 8 to 15 is drawn at random.

The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8

Total even number = 8, 10, 12, 14 = 4

The probability that the number is an even number is;

\(\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}\)

Hence, the probability that the number is an even number is 1/2.

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The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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Answer:

Step-by-step explanation:

When \(x=10\),    

     \(4x^3 + 2x^2 + 3x +7=4(10^3)+2(10^2)+3(10)+7 =4000+200+30+7=4,237\)

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

Answer:

31

Step-by-step explanation:

32 - x = 1, so we do this. 32 - 1 = x. So we get 31.

Answer:

31

Step-by-step explanation:

32 - x = 1

To find x you need to subtract 1 from 32

The answer is 31.

If you subtract 31 from 32 the answer becomes 1.

HOPE IT HELPED

Step-by-step explanation:

b

The expression would represent profit is expressed as the polynomial, 33x + 390.

To represent the profit, we need to subtract the cost from the revenue. The revenue is given by the polynomial 2x³ + 30x - 130, and the cost is given by the polynomial 2x³ - 3x - 520.

Therefore, the expression representing profit can be obtained by subtracting the cost from the revenue:

Profit = (2x³ + 30x - 130) - (2x³ - 3x - 520)

Simplifying the expression, we have:

Profit = 2x³ + 30x - 130 - 2x³ + 3x + 520

Combining like terms, we get:

Profit = (2x³ - 2x³) + (30x + 3x) + (520 - 130)

Simplifying further:

Profit = 33x + 390

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NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.

To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:

This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:

To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.

By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.

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Answer:

8.7*10^12

Step-by-step explanation:

Answer:

If the distance is meant instead of a difference the answer is 40

Step-by-step explanation:

You would subtract the absolute value of

|-70-(-30)|

|-70+30|

|-40|

The absolute value of -40 is 40

The domain and the range of the function are

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

1. The functiοn \(f(x) = 3x2^x+4-1\)undergοes the fοllοwing transfοrmatiοns

A vertical translatiοn dοwnward by 1 unit (the \("-1\)" at the end)

An upward vertical stretch by a factοr οf 3 (the "3" cοefficient in frοnt)

An expοnential grοwth with base 2 (the expοnent "x" in the term \("2^x"\))

A hοrizοntal shift tο the left by 4 units (the "-4" in the expοnent οf \("2^x"\))

2. The functiοn \(f(x) = -1/2x5^x-2+6\) undergοes the fοllοwing transfοrmatiοns:

3. The functiοn \(g(x) = 1/5log(x+5)+3\) undergοes the fοllοwing transfοrmatiοns:

4. The functiοn \(g(x) = -4log(x)-2\) undergοes the fοllοwing transfοrmatiοns:

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Answer:

3x+2+x+4=4x+6

Step-by-step explanation:

add all the number with x and also add all the numbers without x and u will get ur answer

so the ans is 4x+6

Answer:

linear function

Step-by-step explanation:

from the table , observe there is a common difference between consecutive terms of y , that is

2 - (- 1) = 5 - 2 = 8 - 5 = 3

since the first differences are constant then the table represents a linear function.

The table represents a linear function. This can be determined in 2 ways:

1. When you graph the points they form a perfect line.

2. Considering that all x values have a common difference of 1 between their previous and next value, the y values also have a common difference, and it is 3. Hence, the points represent a linear function.

Answer: Let X = the smaller of the two consecutive odd integers. Therefore (X + 2) = the larger of the two consecutive odd integers.

The total surface area of the clubhouse including the floor is approximately 95.98 square feet.

We have,

The surface area of a square pyramid can be found by adding the area of the base to the sum of the areas of the four triangular faces.

Since the base is a square, its area is 6^2 = 36 square feet.

Each triangular face is an equilateral triangle with a side length of 6 feet, so its area can be found using the formula.

A = (√(3)/4) x s²,

where s is the length of a side.

The area of each triangular face.

A = (√(3)/4) x 6² = 9 √(3) square feet.

The total surface area is then:

A = 4 x 9 √(3) + 36

A = 36 √(3) + 36  ≈ 95.98 square feet

(rounded to the nearest hundredth)

Therefore,

The total surface area of the clubhouse including the floor is approximately 95.98 square feet.

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

y=1x-7

Step-by-step explanation:

Thus, the solution set for the cost of each notebook that can be bought by George is:  (0 ≤ x ≤ 6).

A linear equation is a one-variable equation of the a straight line. The variable only has one power, which is 1. Simple algebraic operations are used to solve linear equations in one variable, which can have the form ax+b=0.

Given that:

So, the linear equation follows

Amount for 4 notebooks + Left amount  = total amount

4*x + 12 ≤ 36

4x ≤ 36 - 12

4x ≤ 24

x ≤ 24/4

x ≤ 6

So, (0 ≤ x ≤ 6)

Thus, the solution set for the cost of each notebook that can be bought by George is:  (0 ≤ x ≤ 6).

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