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Nathan loved learning about earthquakes in science class. He told his brother that up until a 7.8-magnitude earthquake hit Nepal in 2015, Mount Everest had been moving northeast at a rate of 7.7×10^-6 centimeters per minute. What would be the most appropriate unit for Nathan to use instead of centimeters per minute?

Answer:

Step-by-step explanation:

Ar of circle

A= 49π

B=100π

C=169π

D=121π

Ar of circle A is less than Ar of circle D

Step-by-step explanation:

i

Answer: 0.75

Step-by-step explanation:

The appropriate values of n and r are illustrations of permutation.

The values of n and r are 75 and 10, respectively

From the question, we have the following parameters:

The above means that:

n = 75

r = 10

This can be interpreted as:

Arrange 10 songs from a list of 75 songs

Hence, the appropriate values of n and r are 75 and 10, respectively

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Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

x = -3

Step-by-step explanation:

I assume we're solving for x.

9x -5x = -12

Combine like terms.

4x = -12

Divide both sides by 4.

x = -3

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer: -√7 because it will cancel out to equal 0

Answer:

Step-by-step explanation:

Length: (25 yd)(3 ft/yd) = 75 ft.

Width: (8 lanes)(3 yd/lane)(3 ft/yd) = 72 ft.

The length and width are 75 ft and 72 ft, respectively.

Answer:

length; 75 ft

width; 72 ft

Step-by-step explanation:

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

Answer:

13. The more passengers, the more Subway cars are needed; 15. There's more weight with the more packages?

Step-by-step explanation:

Step-by-step explanation:

1. 84 cm^2

2. 616 cm^2

3. 2496 cm^2

Given:

A triangle

l (length) = 12 cm

w (width) is 2 cm less than 3/4 of its length

Find: A (area) - ?

First, let's find the width of the rectangle according to the given information:

\(w = (\frac{3}{4} \times 12) - 2 = 9 - 2 = 7 \: cm\)

Now, we can find the area:

\(a = w \times l\)

.

2. Given:

A circular clock

C (circumference) = 88 cm

π = 22/7

Find: A (area) - ?

\(c = 2\pi \times r\)

First, let's find the radius of the clock:

\(2 \times \frac{22}{7} \times r = 88\)

\( \frac{44}{7} \times r = 88\)

Multiply both sides of the equation by 7 to eliminate the fraction:

\(44r =616\)

Divide both parts of the equation by 44 to make r the subject:

\(r = 14\)

Now, we can find the area:

\(a = \pi {r}^{2} \)

\(a = \frac{22}{7} \times {14}^{2} = 616 \: {cm}^{2} \)

.

3. Given:

A rectangle

l (length) = 52 cm

P = 200 cm

Find: A (area) - ?

First, let's find the width of the rectangle (the perimeter is equal to the sum of all side lengths):

P = 2l + 2w

2w = P - 2l

2w = 200 - 2 × 52

2w = 96 / : 2

w = 48 cm

Now, we can find the area:

A = w × l

A = 48 × 52 = 2496 cm^2

Answer: x=14 y=10

Step-by-step explanation:

To convert any given angle from the measure of degrees to radians, the value has to be multiplied by π/180.

hope it helps...!!!

Answer:

there are 2pi radians in a circle

there are also 360 radians in a circle

let r = radians and d = degrees

2*pi*r=360*d

2pi/360*radians = degrees

(pi/180)*radians = degrees

Answer:

The third one is \(y=-4x-5\)

The fourth one is \(y=\frac{2}{3}x+4\)

The last one is y = \(- \frac{1}{5} x\)

Step-by-step explanation:

The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer:

D. KI

Step-by-step explanation:

KI intersects a minimum of two points meaning it is the definition of a secant.

Answer:

Parameter estimates

The coefficient for Px (-5) suggests that there is an inverse relationship between the price of the fruit drink and the quantity demanded. In other words, as the price of the drink increases, the quantity demanded decreases.

The coefficient for M (0.001) suggests that there is a positive relationship between the median annual family income and the quantity demanded. In other words, as the median income increases, the quantity demanded also increases.

The coefficient for Py (10) suggests that there is a positive relationship between the price of the competing brand of fruit drink and the quantity demanded for this brand. In other words, as the price of the competing brand increases, the quantity demanded for this brand also increases.

Step-by-step explanation:

To calculate the monthly consumption of the fruit drink, we plug in the given values into the demand equation,

Qx = 10 - 5(2) + 0.001(20,000) + 10(2.5)

Qx = 10 - 10 + 20 + 25

Qx = 45 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family is 45 liters.

If the median annual family income increased to $30,000, then the new monthly consumption of the fruit drink per family can be calculated as follows,

Qx = 10 - 5(2) + 0.001(30,000) + 10(2.5)

Qx = 10 - 10 + 30 + 25

Qx = 55 liters per family per month.

Therefore, the monthly consumption of the fruit drink per family would increase from 45 liters to 55 liters per family per month.

To determine the demand function, we need to solve for Qx in terms of the other variables,

Qx = 10 - 5Px + 0.001M + 10Py

Qx - 10Py = 10 - 5Px + 0.001M

Qx = (10 - 5Px + 0.001M) / 10Py

Therefore, the demand function is:

Qx = (10 - 5Px + 0.001M) / 10Py

To find the inverse demand function, we need to solve for Px in terms of Qx.

Qx = 10 - 5Px + 0.001M + 10Py

5Px = 10 - Qx - 0.001M - 10Py

Px = (10 - Qx - 0.001M - 10Py) / 5

Therefore, the inverse demand function is,

Px = (10 - Qx - 0.001M - 10Py) / 5

Answer:

The height of the prism is 9yd.

Step-by-step explanation:

The volume of the prism is

Vol

= BaseArea×height

The area of the base is the area of the triangle.

Area_triangle

= 1/2 b•h

= 1/2•8•7

= 28

28 is the BaseArea of the prism.

Again the volume of the prism is:

Vol = BaseArea•h

This h is the height of the prism. That is what we are looking for.

Fill in what we know or calculated already.

252 = 28•h

Divide by 28

9 = h

The height of the prism is 9yd.

Write 2 equations, multiply amount bought per month by number of months and add to the starting values :

Marko = 45 + 4M

Tamara = 61 + 2M

Set the equations equal to each other and solve for number of months:

45 + 4m = 61 + 2m

Subtract 45 from both sides:

4m = 16 + 2m

Subtract 2m from both sides:

2m = 16

Divide both sides by 2:

m = 8

Answer: 8 months

Answer:

The volume is 164cm^3

Step-by-step explanation:

Given

\(h = 7\) --- height

\(a = 3\) --- base length

\(r = 2.6\)

Required

The volume

The volume (V) is calculated as:

\(V = \frac{3\sqrt 3}{2}a^2h\)

This gives:

\(V = \frac{3\sqrt 3}{2} * 3^2 * 7\)

\(V = \frac{3\sqrt 3}{2} * 9 * 7\)

\(V = \frac{3\sqrt 3}{2} * 63\)

\(V = \frac{3*1.7321}{2} * 63\)

Using a calculator, we have:

\(V = 163.68\)

Approximate

\(V = 164cm^3\)

Answer:

132cm ^ 2

Step-by-step explanation:

First solve the top rectangle, 4x7 = 28cm

then solve the bottom rectangle, 8x7 = 56cm

then solve the triangle, we know the entire bottom is 19cm, and 7 is subtracted, thereforth leavin 12, since there is 2 triangles its a base of 6, with a height of 8 making 48cm (and since there is 2 triangles no need to divide by 2)

28+56+48 = 132cm^2

-- Gage Millar, Algebra 2 Tutor

Answer:

132 cm 2

Step-by-step explanation:

did the test

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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\(\displaystyle\\|\Omega|=\binom{16}{2}=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\|A|=\binom{5}{2}=\dfrac{5!}{2!3!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{120}=\dfrac{1}{12}\approx0.083\)

Answer:

5 or 2

Step-by-step explanation:

Answer:

4 units right, 2 units up

Step-by-step explanation:

For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).

Answer:

i think -6 but idek

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.41