A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to determine how much cement they need to create the stairs. What is the volume of the wooden mold?

Answer:

p=12c+72  ?

Step-by-step explanation:

i think u just make an equation

The Pearson correlation coefficient = r =\(\\sqrt{0.64}\\\) = \(\\pm0.80\)

The absolute value of Pearson correlation coefficient is greater than 0.75, the relationship between two variables is very strong.

The Percentage of the variance in the relationship between these two variables accounted for is 0.64×100=64%

Correlation Coefficient value always lies between -1 to +1. If correlation coefficient value is positive, then there is a similar and identical relation between the two variables. Else it indicates the dissimilarity between the two variables.

The covariance of two variables divided by the product of their standard deviations gives Pearson’s correlation coefficient. It is usually represented by ρ (rho).

ρ (X, Y) = cov (X, Y) / σX.σY.

Given, coefficient of determination, \(r^2\) = 0.64

a)  Pearson correlation coefficient = r =\(\\sqrt{0.64}\\\) = \(\\pm0.80\)

b) Since the absolute value of Pearson correlation coefficient is greater than 0.75, the relationship between two variables is very strong.

c) Percentage of the variance in the relationship between these two variables accounted for is 0.64×100=64%

Therefore, the Pearson correlation coefficient = r =\(\\sqrt{0.64}\\\) = \(\\pm0.80\), the absolute value of Pearson correlation coefficient is greater than 0.75, the relationship between two variables is very strong, Percentage of the variance in the relationship between these two variables accounted for is 0.64×100=64%.

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The solution to the problem are 8 × 3 = 24, –7 × 5 = -35, –6 × (–9) = 54, 8 ÷ (–2) = -4, –24 ÷ (–3) = 8, –36 ÷ 6 = -6.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Solve as shown below,

(a) 8 × 3 = 24

(b) –7 × 5 = -35

(c) –6 × (–9) = -(-54) = 54

(d) 8 ÷ (–2) = 8 × 1 / (-2) = - 4

(e) –24 ÷ (–3) = -24 ×  1 / (-3) = 8

(f) –36 ÷ 6 = -36 × 1 \ 6 = -6

Therefore, the solution to the problem are 8 × 3 = 24, –7 × 5 = -35, –6 × (–9) = 54, 8 ÷ (–2) = -4, –24 ÷ (–3) = 8, –36 ÷ 6 = -6.

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Answer:

D

Step-by-step explanation:

abs. -1/2 = 0.5

abs. 2/5 = 0.4

Answer:

Step-by-step explanation:

Law of Sines  recall   Sin(A) /a  = Sin(B) /b  

does the above make sense?

Next we need to find  the angle of A

notice that 16+75=91  :o

so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180)  so this is NOT a right triangle but that's okay, b/c law of sines still works fine.

then we want to find length of line AB

and if 89 = A  then a = BC

and if  75 = B the  b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and  lower case b much easier than you can with C, & c  :/   )

capitals are the angles while lower case are the length of the sides

then

Sin(89) / 29 = Sin(75) / b

solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .

0.034477 = 0.965925/ b

b = 0.965925 / 0.034477

b = 28.0165

b = 28.0 ( to the nearest 10th)

we have the parts to plug in now

Sin(75) /

There are 2.5 pounds in 40 ounces.

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

Given,

There are 16 ounces in 1 pound.

then, pounds in 1 ounce = 1/16

expression z/16 represents number of pounds

where z represents the number of ounces.

For 40 ounces,

Number of pounds = 40/16

                                = 2.5 pounds

Hence, 2.5 pounds are there in 40 ounces.

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The predetermined overhead allocation rate for a given production year is calculated by dividing the total estimated overhead costs by the estimated level of activity for the year.

The predetermined overhead allocation rate is the ratio of estimated overhead expenses to estimated production activity. It is a cost accounting concept used to allocate manufacturing overhead to the goods manufactured during a production period, and it is also known as the predetermined manufacturing overhead rate. The estimation is generally based on past production activity data.The predetermined overhead allocation rate for a given production year is calculated by dividing the total estimated overhead costs by the estimated level of activity for the year. This rate is then used to allocate overhead costs to the products produced during the year.

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Answer:

1 / (99 - 40x).

Step-by-step explanation:

The whole of g(x) is input to f(x), so:

we replace the x in f(x) by g(x).

f(g(x)) =  1 /  [8(12 - 5x) + 3]

=  1 /( 96 - 40x + 3)

= 1 / (99 - 40x).

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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Answer:

21x - 42

Step-by-step explanation:

7(3x - 6)

21x - 42

Answer:

9y+10

Step-by-step explanation:

(9×y-9×2)+4-31

9y-18+4-31

9y+10

Answer:

x ≤ 3.5 gigabytes

Step-by-step explanation:

Under his cell phone plan, Anthony pays a flat cost of $56 per month and $4 per gigabyte. He wants to keep his bill under $70 per month.

Let us represent the number of gigabytes = x

Hence, our Equation is:

$56 + $4 × x ≤ $70

56 + 4x ≤ 70

Collect like terms

4x ≤ 70 - 56

4x ≤ 14

x ≤ 14/4

x ≤ 3.5 gigabytes

Therefore, the number of gigabytes Anthony can use while staying within his budget is less than or equal to 3.5 gigabytes

Answer:

\(k = - 5\)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

\(−3(k+7)−5k+4=23 \\ (−3)(k)+(−3)(7)+−5k+4=23(Distribute) \\−3k+−21+−5k+4=23 \\ (−3k+−5k)+(−21+4)=23(Combine Like Terms) \\ −8k+−17=23 \\ −8k−17=23\)

Step 2: Add 17 to both sides.

\(−8k−17+17=23+17 \\ −8k=40\)

Step 3: Divide both sides by -8.

\( \frac{ - 8k}{ - 8}= \frac{40}{ - 8} \)

\(k = - 5\)

Answer:

axis of symmetry is x = 1; vertex is (1,8)

Answer:

Step-by-step explanation:

The tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

First, let's find the derivative of the given function y = 1 + 60x³ − 2x⁵ using the power rule for differentiation:

dy/dx = 0 + 3(60)x² - 5(2)x⁴

= 180x² - 10x⁴

To find the critical points, we set the derivative equal to zero and solve for x:

180x² - 10x⁴ = 0

Factoring out common terms, we get:

10x²(18 - x²) = 0

Setting each factor equal to zero, we have:

10x² = 0 or 18 - x² = 0

From the first equation, we find x = 0.

From the second equation, we have:

18 - x² = 0

x² = 18

Taking the square root, we get:

x = ±√18

= ±3√2

So the critical points are x = 0, x = 3√2, and x = -3√2.

Now we need to evaluate the slope at these critical points. We can do this by plugging each x-value into the derivative:

When x = 0:

dy/dx = 180(0)² - 10(0)⁴ = 0

When x = 3√2:

dy/dx = 180(3√2)² - 10(3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

When x = -3√2:

dy/dx = 180(-3√2)² - 10(-3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080

The slope is 0 when x = 0 and 1080 when x = 3√2 or x = -3√2.

Therefore, the tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.

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The complete question is as follows:

At which points on the curve y = 1 + 60x³ − 2x5⁵ does the tangent line have the largest slope?

Answer:

D

Step-by-step explanation:

Is just 9/11 x 2

ajnansjs

Answer:

Option D is correct

Step-by-step explanation:

9/11=x/22

(9/11)×22=x

18=x

or. x=18

Answer:

B

Step-by-step explanation:

The missing length in triangle A given the similarity between the two triangles is 18.67

Triangle A is similar to triangle B

Triangle A:

Triangle B:

Ratio of side 1 to side 2 of the triangles respectively

(x + 2) : 8 = 14 : 6

(x + 2) / 8 = 14/6

(x + 2) × 6 = 8 × 14

6x + 12 = 112

6x = 112 - 12

6x = 100

x = 100/6

x = 16.67

Therefore, Triangle A:

Side 1 = (x + 2)

= 16.67 + 2

= 18.67

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The transformations that the point underwent are given as follows:

The point was reflected over the y -axis and translated up 4 units.

The rule for a reflection over the y-axis is given as follows:

(x, y) -> (-x,y).

Meaning that the x-coordinate of the point has it's signal exchanged.

The original point has the coordinates given as follows:

(5,-2).

After the reflection over the y-axis, the coordinates are given as follows:

(-5, -2).

The rule for a translation up 4 units is given as follows:

(x,y) -> (x, y + 4).

This means that 4 is added to the y-coordinate of the point.

The coordinates of the reflected point after the translation up four units are given as follows:

(-5, -2 + 4) = (-5, 2)

Which are the coordinates of the image in the problem, hence the two transformations are correct.

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Answer: Selective optimization with compensation

Step-by-step explanation:

The expression -4(3d - 1) + 2 (7d + 9) is simplified to 2(d + 10)

Algebraic expressions are described as expressions that are made up of terms, coefficients, variables, constants and factors.

These expressions are also composed of mathematical operations, such as;

We have the expression;

-4(3d - 1) + 2 (7d + 9)

expand the bracket

-12d + 4 + 14d + 18

collect the like terms

-12d + 14d + 4 + 18

add the like terms

2d + 20

2(d + 10)

Hence, the expression is 2(d + 10)

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Answer:

2d + 22

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The property we use,

→ Distributive property.

The expression is,

→ -4(3d - 1) + 2(7d + 9)

Let's simplify the expression,

→ -4(3d - 1) + 2(7d + 9)

→ -4(3d) -4(-1) + 2(7d) + 2(9)

→ -12d + 4 + 14d + 18

→ (-12d + 14d) + (4 + 18)

→ (2d) + (22)

→ 2d + 22

Hence, the answer is 2d + 22.

Answer:

d Because I just took the test and got it right

Answer:

x = 9

Step-by-step explanation:

divide both sides of the equation by 4 to isolate the x variable according to algerba. Hope it helps!

Answer:

=9

Step-by-step explanation:

9 times 4 is 36

Answer:

t = time in seconds after the ball was thrown

h(t) =  the height of the ball after t seconds.

h(t)=−16t2+64t+80

Question (1): What is the maximum height of the ball?

Remember that the graph of the function is a parabola open down because the leading coefficient is negative. Therefore, to get the maximum height we just have to find the vertex of this parabola. Since the function is in standard form h(t) = at2+bt+c, the formula for getting the vertex is:

V(h,k) = (-b/(2a), h(-b/(2a)))

-b/(2a) = -64/(2*(-16)) = 2 seconds (the time it reaches the highest point.)

h(-b/(2a)) = h(2) = -16(2)2 + 64(2) + 80 = 144 feet (Maximum height)

Question (2): How many seconds does it take until the ball hits the ground?

If it hits the ground, it means the height is zero. h(t)=0.

0= -16t2 + 64t + 80

Factor:

0 = -16(t2 - 4t - 5)

0 = -16(t - 5) (t + 1)

t-5 =0 or t+1=0

We eliminate t+1=0 because of the negative value of t. Time should always be positive in this case.

t = 5 seconds to hit the ground.

C 3/4÷12

You Welcome :)

Answer: C

Step-by-step explanation:

to answer that we need to know what irrational and what whole numbers are.

whole numbers are all positive numbers with only 0s after the decimal point. in other words positive integers incl. 0.

they do not include any fragments of numbers.

e.g. 1, 2, 3, 34865, ...

e.g. 5.83, 7.333333333... are NOT whole numbers.

irrational numbers are all numbers with infinite digits after the decimal point, that do not have any repeating patterns.

in the example above, 5.83 is NOT irrational, because it has a finite number of digits after the decimal point.

7.3333333... is NOT irrational either, as it has a clear pattern in its digits after the decimal point. it is in fact 22/3 and therefore a rational number.

examples for irrational numbers :

pi, e, sqrt(2), ...

so, the fourth (bottom right) answer is correct.

these two sets of numbers have no element in common.

whole numbers are completely a part of the rational numbers.

but rational and irrational numbers have no elements in common (together they are the real numbers). and therefore, also whole numbers and irrational numbers have no elements in common.

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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Answer:

21=3/7

Step-by-step explanation:

if you divide 21 by 7, you get 3. if you multiply 7x3 or 3x7, you get 21

If Taylor is proving the Pythagorean theorem.  Taylor can use the diagram to prove the Pythagorean theorem by: A. Taylor could set the area of a square with side length a + b equal to the sum of the areas of the 4 triangles and the square with side length c.

To prove the Pythagorean theorem, we want to show that in a right triangle with legs a and b and hypotenuse c, the square of the hypotenuse c^2 is equal to the sum of the squares of the legs a^2 + b^2.

From the given diagram, we can see that we have a square with side length a+b, which is divided into 4 congruent right triangles and a smaller square with side length c. Each of the 4 triangles has legs a and b, which are also the legs of the right triangle we want to prove the theorem for. The smaller square with side length c has an area equal to c^2, which is the square of the hypotenuse of the right triangle.

The area of the square with side length a+b is (a+b)^2 = a^2 + 2ab + b^2. The area of one of the congruent right triangles is (1/2)ab, so the sum of the areas of the 4 triangles is 2ab. Therefore, the sum of the areas of the 4 triangles and the smaller square is:

a^2 + 2ab + b^2 + c^2

But this is also equal to the area of the larger square with side length a+b, which is (a+b)^2. So we have:

a^2 + 2ab + b^2 + c^2 = (a+b)^2

Expanding the right-hand side gives:

a^2 + 2ab + b^2 + c^2 = a^2 + 2ab + b^2

Canceling the common terms on both sides gives:

c^2 = a^2 + b^2

This is the Pythagorean theorem, which we have proved using the given diagram.

Therefore, option A is the correct answer.

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