Write the percent as a decimal. Round to the nearest thousandth if the division does not terminate.7/8% =

Answer:

$400

Step-by-step explanation:

Lets money that Anthea got be 2x

than Barry's money be 5x and Carol's be x

Barry got $200 more than Carol

This means that 5x is 200 more than x

5x = x + 200

4x = 200

x = 50

The sum of money is 2x + 5x + x

so this is 8x

8x = 50 * 8 = 400

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A. \(V = a^{3}\)

   a= V^1/3 = 12167^1/3 = 23cm

The height = 23cm

B. Area of one face of the cube = \(6*S^{2}\) = \(6*23^{2}\) = 3174\(cm^{2}\)

Step-by-step explanation:

A. To find the height of the cube, I used the cube root of the given volume, since the volume of a cube is equal to the cube root of its length/height

B. To find the area of one side of the cube, I sustitute S for the side length/height of the cube, which is 23cm. Then I multiplying the length of the cube's side by its width to find its area, since the length and width of a cube's side is the same.

The second box is less expensive to make since it has a smaller surface area and hence requires less wood to construct the sides.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Here some data is not given, so we are assuming the volume of the box is 24 cubic feet.

If the volume is 24 cubic feet, the box's three dimensions must multiply to equal 24.

We can make two designs:

2 × 2 × 6 and 2 × 3 × 4.

Now, finding the surface area for each design.

First box

SA = 2wl + 2wh + 2hl

SA = 2×2×2 + 2×2×6 + 2×2×6

SA = 56 square feet

Second box

SA = 2×2×3 + 2×2×4 + 2×3×4

SA = 52 square feet

At $4 per square foot

For 56 ft², the price is $224

For 52 ft², the price is $208

Thus, the second box is less expensive to make since it has a smaller surface area and hence requires less wood to construct the sides.

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The graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.

First, let us understand the polynomial function:

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 9y + 6 is a polynomial with an exponent of 1.

We are given:

f(x) = x^3 - 2x^2 - 5x + 6

We know that, when the graph intersects the x-axis, it satisfies the equation that is f(x) = 0 at that point.

Let us check the points one by one;

Option A;

The graph intersects the x-axis at -2, 1, and 3 it should satisfy the equation f(x) = 0.

Let's put x = -2 in f(x), we will get;

f(-2) = -2^3 - 2(-2)^2 - 5(-2) + 6 = -8 - 8 + 10 + 6 = -16 + 16 = 0

f(-2) = 0.

Let's put x = 1 in f(x), we will get;

f(1) = 1^3 - 2(1)^2 - 5(1) + 6 = 1 - 2 - 5 + 6 = 7 - 7 = 0

f(1) = 0.

Let's put x = 3 in f(x), we will get;

f(3) = 3^3 - 2(3)^2 - 5(3) + 6 = 27 - 18 - 15 + 6 = 33 - 33 = 0

f(3) = 0.

So, the points -2, 1, and 3 satisfy the equation f(x).

Thus, the graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The system of linear equations can be resolved as x = 123/112, y = -22/49, and z = 17/112.

To solve this system of linear equations using the elimination method, we will eliminate one variable at a time by adding or subtracting equations.

Step 1: Add the first and second equations to eliminate x

-3x - 4y + z = -21

3x - 3y + 5z = 19

-7y + 6z = -2

Step 2: Multiply the third equation by 3 and add it to the result of step 1 to eliminate y

-7y + 6z = -2

-12x + 15y + 6z = -18

-12x + 21z = -20

Step 3: Solve for z by multiplying the result of step 2 by 2/3 and substituting it back into step 1 to solve for y

-12x + 21z = -20

(2/3)(-12x + 21z) = (2/3)(-20)

-8x + 14z = -40/3

-7y + 6z = -2

-7y + 6((2/3)x - (20/9)) = -2

-7y + 4x - 40/3 = -2

-7y + 4x = 34/3

y = (4/7)x - (34/21)

Step 4: Substitute the values of y and z back into any of the original equations to solve for x

3x - 3y + 5z = 19

3x - 3((4/7)x - (34/21)) + 5((2/3)x - (20/9)) = 19

3x - (12/7)x + 6 + (10/3)x - (100/9) = 19

(41/21)x = 53/3

x = 41/21 x (3/53) = 123/112

Step 5: Substitute the value of x into the equations we used to solve for y and z to solve for the remaining variables

y = (4/7)x - (34/21) = (4/7) x (123/112) - (34/21) = -22/49

z = (2/3)x - (20/9) = (2/3) x (123/112) - (20/9) = 17/112

Therefore, the solution to the system of linear equations is x = 123/112, y = -22/49, and z = 17/112.

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Answer:

umm maybe 1.3

Step-by-step explanation:

If Percent of Sales Method At the end of the current year, Accounts Receivable has a balance of $805,000.  the amount of the adjusting entry for uncollectible accounts is  $27,150.

a. Amount of bad  debts

Amount of bad  debts = Sales × Bad debts rate

Amount of bad  debts = $3,620,000×0.75%

Amount of bad  debts= $27,150

b. Adjusted balances

Accounts Receivable           $805,000

Allowance for Doubtful Accounts    $20,150

( $27,150- $7,000)

Bad Debt Expense                            $27,150

c. Net realizable value of accounts receivable

Net realizable value of accounts receivable = Balance of accounts receivables  - Allowance for Doubtful Accounts

Net realizable value of accounts receivable =  $805,000-  $20,150

Net realizable value of accounts receivable = $784,850

Therefore the amount of bad  debts is $27,150.

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The value of the segment AB for the similar triangles is equal to 25.5.

The triangles ADE and ABC are similar, this implies that the length AB of the smaller triangle is similar to the length AD of the larger triangle

and the length AC of the smaller triangle is similar to the length AD of the larger triangle

so;

AB/(17 + AB) = 31.5/52.5

52.5AB = 31.5(17 + AB) {cross multiplication}

52.5AB = 535.5 + 31.5AB

25.5AB - 31.5AB = 535.5 {collect like terms}

21AB = 535.5

AB = 535.5/21 {divide through by 21}

AB = 25.5

Therefore, the value of the segment AB for the similar triangles is equal to 25.5.

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Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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Answer:

V = 4 2/3 units ^3

Step-by-step explanation:

We are given the area of the back rectangle

V = BH where B is the area of the base

V = 3 1/3 * 1 2/5

Rewriting the mixed numbers as improper fractions

V = 10/3 * 7/5

V = 70/15

Simplifying

V = 14/3

Changing back to a mixed number

V = 4 2/3 units ^3

Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Required weight of filament is 760 grams.

What is Subtraction ?

Subtraction is the operation or process of finding the difference between two quantities or numbers. Subtracting a number from another number is also called "subtracting one number from another." Some of the cases where we use subtraction are making payments, transferring money to our friends, and more.

Addition and subtraction are two basic arithmetic operations in which we learn to add and subtract two or more numbers or any mathematical values. The other two basic mathematical operations are multiplication and division. The symbol for subtraction is "-" (minus sign).

Both addition and subtraction are inverses of each other. For example, if 9 + 1 = 10, then 10 – 1 = 9. This shows that adding 1 to 9 gives 10, while subtracting 1 from 10 gives 9.

Given, The filament and spool together weigh

1000 grams and an empty spool typically weights

240 grams.

So, filament + spool = 100

\(filament + 240 = 1000 \\ filament = 1000 - 240 \\ filament = 760\)

Therefore, the weight of filament on a spool is 760 grams.

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

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Answer:

Problem 20)

\(\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)\)

Problem 21)

A)

The velocity function is:

\(\displaystyle v(t) =2\pi(\cos(2\pi t)-\sin(\pi t))\)

The acceleration function is:

\(\displaystyle a(t)=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\)

B)

\(s(0)=2\text{, }v(0) = 2\pi \text{ m/s}\text{, and } a(0) = -2\pi^2\text{ m/s$^2$}\)

Step-by-step explanation:

Problem 20)

We want to differentiate the equation:

\(\displaystyle y=\left(\cos x\right)^x\)

We can take the natural log of both sides. This yields:

\(\displaystyle \ln y = \ln((\cos x)^x)\)

Since ln(aᵇ) = bln(a):

\(\displaystyle \ln y =x\ln \cos x\)

Take the derivative of both sides with respect to x:

\(\displaystyle \frac{d}{dx}\left[\ln y \right]=\frac{d}{dx}\left[x \ln \cos x\right]\)

Implicitly differentiate the left and use the product rule on the right. Therefore:

\(\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x+x\left(\frac{1}{\cos x}\cdot -\sin(x)\right)\)

Simplify:

\(\displaystyle \frac{1}{y}\frac{dy}{dx}=\ln \cos x-\frac{x\sin x}{\cos x}\)

Simplify and multiply both sides by y:

\(\displaystyle \frac{dy}{dx}=y\left(\ln \cos x-x \tan x\right)\)

Since y = (cos x)ˣ:

\(\displaystyle \frac{dy}{dx}=(\cos x)^x\left(\ln \cos x-x\tan x\right)\)

Problem 21)

We are given the position function of a particle:

\(\displaystyle s(t)= \sin (2\pi t)+2\cos(\pi t)\)

A)

Recall that the velocity function is the derivative of the position function. Hence:

\(\displaystyle v(t)=s'(t)=\frac{d}{dt}[\sin(2\pi t)+2\cos(\pi t)]\)

Differentiate:

\(\displaystyle \begin{aligned} v(t) &= 2\pi \cos(2\pi t)-2\pi \sin(\pi t)\\&=2\pi(\cos(2\pi t)-\sin(\pi t))\end{aligned}\)

The acceleration function is the derivative of the velocity function. Hence:

\(\displaystyle a(t)=v'(t)=\frac{d}{dt}[2\pi(\cos(2\pi t)-\sin(\pi t))]\)

Differentiate:

\(\displaystyle \begin{aligned} a(t)&=2\pi[-2\pi\sin(2\pi t)-\pi\cos(\pi t)]\\&=-2\pi^2(2\sin(2\pi t)+\cos(\pi t))\end{aligned}\)

B)

The position at t = 0 will be:

\(\displaystyle \begin{aligned} s(0)&=\sin(2\pi(0))+2\cos(\pi(0))\\&=\sin(0)+2\cos(0)\\&=(1)+2(1)\\&=2\end{aligned}\)

The velocity at t = 0 will be:

\(\displaystyle \begin{aligned} v(0)&=2\pi(\cos(2\pi (0)-\sin(\pi(0))\\&=2\pi(\cos(0)-\sin(0))\\&=2\pi((1)-(0))\\&=2\pi \text{ m/s}\end{aligned}\)

And the acceleration at t = 0 will be:

\(\displaystyle \begin{aligned} a(0) &= -2\pi ^2(2\sin(2\pi(0))+\cos(\pi(0)) \\ & = -2\pi ^2(2\sin(0)+\cos(0)) \\ &= -2\pi ^2(2(0)+(1)) \\ &= -2\pi^2(1) \\ &= -2\pi^2\text{ m/s$^2$} \end{aligned}\)

Answer:

x^-10

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

34 cm espero te sirva mucho

Answer:

Step-by-step explanation:

Imagine line BF parallel  to both AB and CD

Then

Answer:

Step-by-step explanation:

∠EAB = 73

∠BCD = 52    

          125

∠ABC = 360 - 125

          = 235°

Using Pythagorean's theorem we can see that the variables are:

t = 13.86

w = 12.81

Remember that for any right triangle, Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, where the hypotenuse is the side opposite to the 90° angle.

Then for the first triangle we can write:

t² + 8² = 16²

Solving for t:

t = √(16² - 8²) = 13.86

For the second triangle we have:

10² + 8² = w²

Solving for w:

w = √(10² + 8²)

w = 12.81

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Answer:

yES

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

The stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

What is a sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed. Like a set, it contains members (also called elements, or terms).

To put the given distances in order from the closest one to the farthest one, we need to arrange them in ascending order.

That means we need to start with the smallest value and move toward the largest value.

Looking at the given distances, we see that the smallest value is 0.883, followed by 0.886, then 0.89, and finally 1.25, which is the largest value.

Putting the given distances in ascending order, we get:

0.883, 0.886, 0.89, 1.25

Therefore, the stars in order from the closest one to the farthest one are:

0.883, 0.886, 0.89, 1.25

so, the answer is A.

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Answer:

S$ 250

Step-by-step explanation:

we can solve this by dividing 20,000 NRs by 80 since S$1.00 = NRs 80

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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