Three vertices of a parallelogram are shown in the figure below.

Give the coordinates of the fourth vertex.

Answer:

8 9 16 7 hope this helps

Step-by-step explanation:

I'm not to good with math lol

Answer:

9

Step-by-step explanation:

I believe this is missing part of the equation. But if you are looking for the value of f(x)=3^2x+1 when x=1/2, this is the answer you are looking for.

You will have to substitute the given value into the function and evaluate.

Answer:

18.6d

Step-by-step explanation:

18.6 times d = 18.6d

anything times 1 is itself

18.6d times 1 = 18.6d

Answer:

18

Step-by-step explanation:

13.5 / 3 = 4.5

so 4 x 4.5 = 16 + 2 = 18

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Answer:

$4.20 / 7 erasers = $0.60 per eraser

So each eraser in the package costs $0.60.

Answer:

$3.24

Step-by-step explanation:

Cost for the coffee + Cost for the bagel

$1.39 + $1.85

$3.24

Hey there!

The length of the hypotenuse is about 11 centimeters.

To solve this, we use the formula \(a^2+b^2=c^2\), where \(c\) is the hypotenuse leg and \(a\) and \(b\) are the other sides. So we can plug the numbers in to the formula:

\(5^2 + 10^2 = c^2\)

Now we get the squares of 5 and 10:

\(25 + 100 = c^2\)

Add 25 and 100:

\(125 = c^2\)

Take the square root from both sides:

\(11.18033... = c\)

The length of the hypotenuse is about 11 centimeters.

Hope it helps and have an amazing day!

The length of Hypotenuse = 11.18 cm

In mathematics, the Pythagoras theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Given,

In right angle ΔABC

AB = 5 cm

BC = 10 cm

AC = ?

By the Pythagoras theorem,

AC² = AB² + BC²

AC² = 5² + 10²

AC² = 25 + 125

AC = √125 = 11.18

Hence, 11.18 cm is the length of Hypotenuse AC .

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Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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Answer:

.169

Step-by-step explanation:

I hoped I helped you solve sorry if I'm wrong

The revenue function is R = 25q, the cost function is C = 2000 + 20q, and the profit function is P = 5q - 2000.

The revenue function in terms of quantity can be calculated as follows:

Revenue (R) = q x p

Where: "q" is the quantity of units sold

"p" is the price per unit

At the break even point:

10,000 = 400p

p = 25 birr per unit

At the break even point, the total cost is equal to the total revenue:

Total cost = Total revenue = 10,000 birr

Fixed cost = 2000 birr

Variable cost (VC) = Total cost - Fixed cost

VC = 10,000 - 2000 = 8000 birr

The cost function in terms of quantity can be expressed as:

Cost (C) = FC + VC x q

C = 2000 + 20q

The profit function can be calculated as the difference between revenue and cost:

Profit (P) = R - C

P = 25q - (2000 + 20q)

P = 5q - 2000

Therefore, the revenue function is R = 25q,

the cost function is C = 2000 + 20q, and

the profit function is P = 5q - 2000.

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The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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Step-by-step explanation:

8 men can do 60 man days of work by dividing 60 man days by the 8 men, which gives us 60/8 = 7 1/2 da

A direct variation graph is a linear graph with a positive slope that increases in a straight line, while an inverse variation graph is a curved graph with a negative slope that decreases over time.

Variation is the act of changing something slightly or the result of such a change. In biology, variation is the differences between individuals of the same species or the differences between species. In genetics, variation is the result of mutations in the genetic code, which can create different phenotypes. Variation can also refer to the differences in traits caused by the environment or cultural differences. In economics, variation refers to the changes in the supply and demand of a particular good or service. Variation can also refer to the differences in the performance of different organizations or people.

The inverse variation graph has a different shape than the direct variation graph, and the ratio of the two variables is inversely proportional.

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Answer:

4

Step-by-step explanation:

0.5 inches * 4 weeks = 2 inches after 1 month

Then add the 2 inches ( how tall it was before)

2 In + 2 In = 4 inches

Answer:

the answer is 0

Step-by-step explanation:

Complete Question

You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is

a. t-Test: Two-Sample Assuming Equal Variances

b. t-Test: Two-Sample Assuming Unequal Variances

c. z-Test: Two Sample for Means

d. t-Test: Paired Two Sample for Means

Answer:

The correct option is  C

Step-by-step explanation:

From the question we can see that

    The  salaries for male doctors is independent of The  salaries for female doctors

 Hence the samples obtained from both populations are independent

Also  both of the random samples are sufficiently large.

So given that the samples are independent and sufficiently large then the best statistical test to use is  z-Test: Two Sample for Means

5 because simple division

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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The differentiation of the given function f(x) = eˣ+6 is eˣ

The derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Given is function f(x) = eˣ+6, we need to find the derivative of this function,

f(x) = eˣ+6

f'(x) = d / dx (eˣ+6)

= d(eˣ)/dx + d(6)/dx

Since, 6 is a constant and derivative of a constant is zero,

d(eˣ)/dx + d(6)/dx = d(eˣ)/dx + 0

Now, when we differentiate eˣ, we get eˣ itself,

Therefore,

d(eˣ)/dx = eˣ

Therefore, the differentiation of the given function f(x) = eˣ+6 is eˣ

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Answer:

part one =65 or 135

part two=75 or 110

part three=240or260or295

The cosine function that could model the block's height in inches above the ground at time t seconds is:

h(t) = 9cos(1.67π(x - 2.1)) + 39.

The cosine function is defined as follows:

g(x) = acos(bx+c)+d.

The coefficients have these following roles:

In this problem, we have that the maximum value is of 48 and the minimum value is of 30(difference of 18), hence the amplitude is given as follows:

2a = 18

a = 9.

A standard cosine function with amplitude 9 would vary the between -9 and 9, while this one varies between 30 and 48, hence the vertical shift is of d = 39.

The minimum and maximum values form half the period, hence:

π/B = 2.7 - 2.1

B = π/0.6

B = 1.67π.

The maximum value in the standard function is at x = 0, while at this function is at x = 2.1, hence the phase shift is of 2.1 units to the right, that is, c = -2.1.

Hence the cosine function is:

h(t) = 9cos(1.67π(x - 2.1)) + 39.

This function is graphed at the end of the answer, showing that the minimum and the maximum values are as desired.

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Answer:

/f k v-z m t f- j a y

Step-by-step explanation:

The equivalent expression of \(6^\frac 25\) is \((\sqrt[5]{6})^2\)

The expression is given as:

\(6^\frac 25\)

The law of indices states that:

\(a^\frac mn = (\sqrt[n]{a})^m\)

Using the above as a guide, we have:

\(6^\frac 25 = (\sqrt[5]{6})^2\)

Hence, the equivalent expression of \(6^\frac 25\) is \((\sqrt[5]{6})^2\)

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9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

Answer:

the answer is 12

Step-by-step explanation:

d=2r=2*6.2=12.4

The surface area of a similar cylinder with a diameter 3 cm is  8.4375π cm².

If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be similar if their respective angles are congruent and their corresponding side length ratios are identical.

Given a cylinder with a diameter 8 cm and a surface area 60π cm²

let the radius be  R = dia/2 = 8/2= 4 cm

and let the height be H

total surface area of cylinder  = 2πR(H + R)

60π = 2π(4)(4 + H)

4 + H = 60/8

H = 7.5 - 4

h = 3.5 cm

and a cylinder is similar to given cylinder,

let radius be r and height be h

given dia = 3 cm

r = 3/2 = 1.5 cm

since both cylinders are similar so the ratio of their height to radius is equal,

R/H = r/h

h = Hr/R

h = (3.5)(1.5)/4

h = 1.3125 cm

total surface area of cylinder  = 2πr(h + r)

total surface area of cylinder  = 2π(1.5)(1.5 + 1.3125)

the total surface area of the cylinder  = 8.4375π cm²

Hence the area of a cylinder is 8.4375π cm².

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