how do I get the answer to this equation

2(10^3/(sqrt400)) -(163-156) ^2 + 10​

The amount of interest paid is $2000.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Price of the car = $19000.

The monthly payment for 5 years = $350

Now,

The total amount paid in 5 years.

1 year = 12 months

5 years = 60 months

So,

= 350 x 12 x 5

= 350 x 60

= $21000

Now,

The amount of interest paid.

= 21000 - 19000

= $2000

Thus,

$2000 Is the amount of interest paid.

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Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

< - 1.0638. Hope this helps!

Step-by-step explanation:

2/3x-8/3

hope it helps

Answer:

See explanation below.

Step-by-step explanation:

Given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

The parent function of the given function is:  y = sin(x)

The five key points for graphing the parent function are:

(See attachment 1)

Standard form of a sine function:

\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)

where:

Therefore, for the given transformed function:

\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)

See attachment 2.

Answer:

B and D

Step-by-step explanation:

B: 1/x^-1 means that you have to move the x to the opposite side of the fraction which makes it equal to x^1 which is just x.

D: x^(1/3) multiplied by itself three times is basically x^(1/3)^3. If you distribute the 3 to the first exponent, you get x^1 which also is equal to just x.

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

m m m m m m

Step-by-step explanation:

mmmmmmmmm m m m m m m mm m m m m m m

Answer:

Decreased by 19%.

-------------------------------

Decrease by of x 10% can be shown as a product of x and:

Same applies to the second decrease, then we get a final number:

It represent a one off decrease of:

Hence the answer is 19%.

Answer:

Step-by-step explanation:

100 - 100/10 = 90

90 - 90/10 = 91

100 - 81 = 19%

for a better understanding look at the figure

Answer:

People should rescue animals from pet stores.

Step-by-step explanation:

An argument is a series of propositions that is organized in such a way that the final proposition appears to be a conclusion which is intended to obey the logical concept of the prior propositions that function as the premise. From "The Case for Shelter Animals", the sentence that best conveys the argument tells us that People should rescue animals from pet stores.

Answer:

b

Step-by-step explanation:

Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.

The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:

V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗

Where y = f(x), y = g(x), and the interval is considered as [a,b].

The given curves are: y = 11 − x, y = 0, x = 3, x = 9

V= ∫_3^9▒〖2πx [11-x-0]dx〗

V= 2π∫_3^9▒〖(11x-x^2)dx〗

V= 2π[11/2 x^2-  1/3 x^3]

V= 2π[11/2 9^2-  1/3 9^3-  11/2 3^2+  1/3 3^3]

V= 2π[891/2-  729/3-  99/2+  27/3]

V= 2π[729/2-  702/3]

V= 2π[396-234]

V= 2π[162]

V= 324π cubic units

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Answer:

\(\frac{116}{159} = 0.7296\) probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has a graduate degree.

Event B: Has over 10 years of experience.

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.

This means that:

\(P(A) = \frac{159}{469}\)

\(P(A \cap B) = \frac{116}{469}\)

Desired probability:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296\)

\(\frac{116}{159} = 0.7296\) probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

1.    in this exercise you  must substitute the value of  of x = 12  in the equation of the parable given, if the result is 10 then the ball pass through the hoop

2.    Y = (-.125)(12)^2+ (1.84)(12)+6 = -18+22.08+6 = 10.06≅10 , of  this form it is demonstrated, that the ball pass through the  hoop

Answer:

\(a_{n} = 5 * 3^{n-1}\)

Step-by-step explanation:

To find the nth term of a geometric sequence, you have the general formula:

\(a_{1} *r^{n-1}\)

where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):

135 = \(a_{1} * 3^{4 - 1}\)

135 = \(a_{1} * 3^3\)

135 = \(27a_{1}\)

\(a_{1} = 5\)

Now, we can substitute the first term back in:

\(a_{n} = 5 * 3^{n-1}\)

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

By adding fractions that represent each of the amounts of cupcakes, we can see that you need 9 cupcakes for you and your friends.

Her we know that you want 3 halves of a cupcake for yourself, 8 halves for your friend, and 7 halves for your other friend.

So we just need to add all of these fractions, to do so, we need to solve the follwing opeartion:

3*(1/2) + 8*(1/2) + 7*(1/2)

3/2 + 8/2 + 7/2

All of these have the same denominator so we can directly add them up:

3/2 + 8/2 + 7/2 = (3 + 8 + 7)/2

(3 + 8 + 7)/2 = 18/2

18/2 = 9

You need 9 cupcakes for you and your friends.

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Complete question:

"I want 3 halves of a cupcake for myself, 8 halves for my friend, and 7 halves for our other friend. How many halves we need in total?"

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

C. 28

Step-by-step explanation:

According to the provided figure :

The measure of the angle EFG equal to the measure of the angle EFH

Which means 2(x + 2) = 60

2(x + 2) = 60

Then

2x + 4 = 60

Then

2x = 60 - 4

Then

2x = 56

Then

x = 56/2

Then

x = 28

Step-by-step explanation:

this is again a combined object.

at the bottom there is a cylinder.

and on top there is half of a sphere (I assume it is a sphere, because there is no additional information about its height, and we could therefore not solve this otherwise).

for the total volume we need to calculate both volumes and add these results.

for the total surface area we need to calculate both surface areas, but remove the top surface area of the cylinder, because the half-sphere is covering it.

so, let's start with the volume :

the volume is a cylinder is

ground area × height = pi×r² × height

the radius is half of the diameter, so, r = 18/2 = 9 ft.

in our case that gives us

pi×9² × 10 = pi×81 × 10 = 810×pi = 2,544.690049... ft³ ≈

≈ 2,544.7 ft³

the volume of a sphere is

pi×r³ × 4/3

and of a half-sphere therefore

pi×r³ × 4/3 / 2 = pi×r³ × 2/3 = pi×9³ × 2/3 = pi×9² × 2 =

= pi×81 × 2 = 162×pi = 508.9380099... ft³

≈ 508.9 ft³

the total volume is then

3,053.628059... ft³ ≈ 3,053.6 ft³

the surface area :

the surface area of a cylinder is

the areas of the circles on the top and the bottom (but here we need only the bottom) plus the area of the lateral side area, the "mantle", which is the circumference of the basic circle times height.

so, in our case we get

pi×r² + 2×pi×r×height

pi×9² + 2×pi×9×10 = 81pi + 180pi = 261pi =

= 819.9556826... ft² ≈ 820 ft²

the surface area of a sphere is

4×pi×r²

and therefore if a half-sphere

4×pi×r² / 2 = 2×pi×r²

in our case

2×pi×9² = 2×pi×81 = 162pi = 508.9380099... ft²

≈ 508.9 ft²

the total surface area is then

1,328.893692... ft² ≈ 1,328.9 ft²

Answer:

Step-by-step explanation:

We can use the DuPont model to calculate the ROE (Return on Equity):

ROE = Profit margin * Total assets turnover * Equity multiplier

Substituting the given values, we get:

ROE = 0.085 * 1.5 * 1.8 = 0.2295 or 22.95%

Therefore, Precision Aviation's ROE was 22.95%.

Answer:

4.076

Step-by-step explanation:

tan27°= |AC|/8

8*tan27°= 4.076

Use the tangent to find the unknown side lengths.

This is the answer

Ac= 4.07

Ab=8.97

Answer:

The number of students that are left handed

Step-by-step explanation:

Answer:

it represent 3 students

The domain of an inverse function, f1, is the domain of a function, f(x) (x). The range of f1 is the scope of f(x) (x).

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) (= g(f(x)) = x. The initial value is fetched via a function that is its inverse.

The opposite is called inverse. In mathematics, an inverse operation is one that reverses the effects of a preceding operation. Inverse operations refers to the set of two opposing operations.

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opposite angles are equal

\(\\ \sf\longmapsto 13x+19=84\)

\(\\ \sf\longmapsto 13x=84-19\)

\(\\ \sf\longmapsto 13x=65\)

\(\\ \sf\longmapsto x=\dfrac{65}{13}\)

\(\\ \sf\longmapsto x=5\)

Answer:

\(\boxed {\boxed {\sf x=5}}\)

Step-by-step explanation:

We are asked to solve for x.

We are given a pair of intersecting lines and 2 angles measuring (13x+19)° and 84°. The angles are opposite each other, so they are vertical angles. This means they are congruent or have the same angle measure.

Since the 2 angles are congruent, we can set them equal to each other.

\((13x+19)=84\)

Solve for x by isolating the variable. This is done by performing inverse operations.

19 is being added to 13x. The inverse operation of addition is subtraction. Subtract 19 from both sides of the equation.

\(13x+19-19= 84 -19\)

\(13x= 84 -19\)

\(13x=65\)

x is being multiplied by 13. The inverse operation of multiplication is division. Divide both sides by 13.

\(\frac {13x}{13}= \frac{65}{13}\)

\(x= \frac{65}{13}\)

\(x= 5\)

For this pair of vertical angles, x is equal to 5.

Answer:

it is 8

Step-by-step explanation:

1+1+1+1+1+1+1+1

2+2+2+2

4+4

8

Answer:

8

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

3x² + 8 = 83

3x² = 83 - 8

3x² = 75

x² = 75/3

x² = 25

x = √25

x = 5

-TheUnknownScientist

Answer:

x =5

Step-by-step explanation:

3x²+8=83

3x²=83-8

3x²=75

x²=75

3

x²=25

x=√25

x=5

hope it help u.