In the diagram, line I and line m are parallel lines cut by transversal n.
b
a
n
m

Answer:

V = 381.7 or 121π

Step-by-step explanation:

V=4/3πr³

Radius is half the diameter so, 9/2 = 4.5

r=4.5

V = 4/3π(4.5)³

V=4/3π(91.125)

V = 381.7 or 121π

Answer:

The final balance is $1,692.94.

The total compound interest is $392.94.

Step-by-step explanation:

1,300 x 0.045=___ x 6

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

3

Step-by-step explanation:

Let's write the statement as an equation and solve for that number.

x+7=10

x=3

Step-by-step explanation:

\(\bold{x + 7 = 10}\)

\( \longmapsto \: x = 10 - 7\)

\( \longmapsto \: 10 - 7 = 3\)

\(\bold{Hope}\)\(\bold{It}\) \(\bold{Helps!}\)

\(\bold{Study}\)\(\bold{Well}\)~

Answer:

x = -8

Step-by-step explanation:

Step 1: Write equation

-8(x + 1) + 3(x - 2) = -3x + 2

Step 2: Solve for x

Distribute: -8x - 8 + 3x - 6 = -3x + 2

Combine like terms: -5x - 14 = -3x + 2

Add 5x to both sides: -14 = 2x + 2

Subtract 2 on both sides: -16 = 2x

Divide by 2 on both sides: -8 = x

Step 3: Check

Plug in x to verify correct solution.

-8(-8 + 1) + 3(-8 - 2) = -3(-8) + 2

-8(-7) + 3(-10) = -3(-8) + 2

56 - 30 = 24 + 2

26 = 26

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

Go to symbolab.com, online calculator, so good trust me

Step-by-step explanation:

The average rate of change of \(g ( x ) = 5 x^3 + 4\) from x = − 1 to x = 3 is 35.

"It is a measure of how much the function changed per unit, on average, over that interval."

The average rate of change of function f over the interval a ≤ x ≤ b, is given by this expression: \(\frac{f(b)-f(a)}{b-a}\)

For given question,

We have been given a function \(g ( x ) = 5 x^3 + 4\)

We need to find the average rate of change of function g(x) from x = − 1 to x = 3

Here, a = -1 and b = 3

\(g(a)\\= g(-1)\\=5(-1)^3+4\\=-5+4\\=-1\)

and the value of g(b) is,

\(g(b)\\=g(3)\\=5(3)^3+4\\=135+4\\=139\)

Using the formula of average rate of change of function,

\(\frac{f(b)-f(a)}{b-a}\\\\=\frac{139-(-1)}{3-(-1)}\\\\=\frac{140}{4}\\\\=35\)

Therefore, the average rate of change of \(g ( x ) = 5 x^3 + 4\) from x = − 1 to x = 3 is 35.

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Answer:

What Problem?

Step-by-step explanation:

a. xy + \(y^{2}\) = y ( x + y)

b. xy + x = x(y + 1)

c. \(a^{2b} + ab^{2}\) = a ( \(a^{2b-1}\) + \(b^{2}\))

Answer:

Step-by-step explanation:

187.5

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

Explanation: 250 x 0.40 = 100

Since the diameter of this circle is 18 kilometers, the circle's area is 254.34 square kilometers.

In Mathematics and Geometry, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r represents the radius of a circle.

Note: Radius = diameter/2 = 18/2 = 9 kilometers.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of circle = 3.14 × 9²

Area of circle = 254.34 square kilometers.

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the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

Right Tail

P(x>3.9)= 0.108

Step-by-step explanation:

In excel, type =NORM.DIST(3.9, 3.7, 0.162, TRUE).

Answer:

Right Tail

0.106

Step-by-step explanation:

The word exceeds means greater than, which are both key words meaning Right-tail probability. With a right tail probability you must subtract the probability from one.

To find the probability a z-score must first be computed using the formula z=x¯−μx¯σx¯

σx¯=0.93‾√1=0.16

z=3.9−3.70.16=1.25

Step-by-step explanation:

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

Answer: 7 units

Step-by-step explanation:

Using the distance formula, the square root of (X2 - X1)^2 + (Y2 - Y1)^2 is equal to the distance between two points.

5-(-2) = 7 9^2 equals 49

-3-(-3) = 0

The square root of 49 plus 0 is 7, so the answer is 7 units.

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

If im correct Martha ran more.

Step-by-step

The inequality to compare the portions of a mile is 5/8 > 6/15.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Martha ran 5/8 of a mile

So, 5/8 of a mile = 5/8 *1 = 5/8

and, Terry ran 6/15 of a mile

So,  6/15 of a mile = 6/15 * 1 = 6/15

To compare both the portions lets make the denominator equal.

So, multiplying and dividing 5/18 with 15 and 6/15 with 8 we get,

5/8 = 75/120

6/15 = 48/120

Here we see that,

75/120 > 48/120

Hence,

5/8 > 6/15

Hence, the inequality to compare the portions of a mile is 5/8 > 6/15.

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Answer:

(xy)^2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

I'm pretty sure it's false, sry if it's not

Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

she used 20.5 miles per gallon!

Step-by-step explanation:

41/2 = 20.5

Solution:

Given:

To convert from polar to cartesian coordinates,

Hence, the pair as a cartesian coordinate as an ordered pair is;