Answer:
Long One is 16

Short One is 4!!

A=base+base/2 * height

A=80

16+4/2 = 10

10 * 8 = 80!!

Short One is 4!!

A=base+base/2 * height

A=80

16+4/2 = 10

10 * 8 = 80!!

99 POINT PROJECT -- ACTUALLY DO IT, DONT TELL ME HOW! 99 POINTS.Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet. Complete the following. Show all work for calculations. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.). Describe the shape of the cross section when the box is cut parallel to the base. What is the surface area of the box? What is the surface area of the box if it is scaled up by a factor of 10? What is the volume of the box? What is the volume of the box if it is scaled down by a factor of 1/10?

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) ? 0.]f(x) = 10/x , a= -2f(x) = \sum_{n=0}^{\infty } ______Find the associated radius of convergence R.R = ______

Please answer 2-5 and 7-9 asap

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value that represents the 90th percentile of scores. Answer with a whole number.

Line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) ? 0.]f(x) = 10/x , a= -2f(x) = \sum_{n=0}^{\infty } ______Find the associated radius of convergence R.R = ______

Please answer 2-5 and 7-9 asap

Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value that represents the 90th percentile of scores. Answer with a whole number.

Line g has a slope of 9/5. line h is perpendicular to g. what is the slop of line h?

**Answer:**

*90 degree*

**Step-by-step explanation:**

Three points A, B, and C are added and shown in attached picture.

As the property of inscribed angle in circle:

angle BAC = (1/2) x 88 = 44 deg

As the property of complement angle:

angle ABC = 180 - 89 = 91 deg

As the property of sum of three angles in a triangle:

angle ACB + angle ABC + angle BAC = 180 deg

=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg

One more time, we use the property of inscribed angle in circle:

x = 2 x angle ACB = 2 x 45 = **90 deg**

Hope this helps!

**Answer:**

266

**Step-by-step explanation:**

Red marbles = 4

Green marbles = 1

Lavender marbles = 1

Yellow marbles = 3

Orange marbles = 2

To pick 5 marbles with at most 1 yellow, we can pick 5 non-yellow marbles or (4 non-yellow marble and 1 yellow marble).

**Picking 5 non-yellow marbles **

There are 4 + 1 + 1 + 2 = **8** non-yellow marbles.

The number of ways of picking any 5 is

**Picking 4 non-yellow marble and 1 yellow marble**

The number of ways of picking any 4 non-yellow marbles is

The number of ways of picking any 1 yellow marble from 3 is

Number of ways for both =

**Total number of picking 5 marbles with at most 1 yellow**

Therefore, total number of ways = 56 + 210 = 266

**Answer with Step-by-step explanation:**

Since we have given that

1+4+9+........................+n² =

We will show it using induction on n:

Let n = 1

L.H.S. :1 = R.H.S. :

So, P(n) is true for n = 1

Now, we suppose that P(n) is true for n = k.

Now, we will show that P(n) is true for n = k+1.

So, it L.H.S. becomes,

and R.H.S. becomes,

Consider, L.H.S.,

So, L.H.S. = R.H.S.

**Hence, P(n) is true for all integers n.**

**Answer:**

The height of cone is increasing at a rate 0.102 feet per second.

**Step-by-step explanation:**

We are** given the following** in the question:

Instant height = 5 feet

The height of the cone is always equal to the diameter.

**Volume of cone = **

**Rate of change of volume = **

Putting all the values, we get,

**Thus, the height of cone is increasing at a rate 0.102 feet per second.**

The term of degree 1 in the given polynomial is +9x.

The coefficient is the constant term that is being multiplied to the variable. The variable in this case is x and the constant being multiplied to x is 9. So the coefficient of the term is 9.

**Therefore, the answer to this question is option A**

The coefficient is the constant term that is being multiplied to the variable. The variable in this case is x and the constant being multiplied to x is 9. So the coefficient of the term is 9.

The answer is A. 9

The leading coefficient for the term of the degree 1 is the number with only one variable (x)

The leading coefficient for the term of the degree 1 is the number with only one variable (x)

O x2 + 4x + 2

O 4x2 + 2x + 4

O 4x2 + 8x + 4

o 10x2 + 20x + 1

The **equivalent **form of f(x) + g(x), if f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is

4x² + 8x + 4, so **option** C is **correct**.

In the case of a **function **from one set to the other, each element of X receives exactly one element of Y. The function's **domain **and **co**-**domain **are respectively referred to as the **sets **X and Y as a whole.

**Given**:

f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²

Calculate the equivalent form as shown below,

f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²

Simplify the above equation,

f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)

f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3

f(x) + g(x) = 4x² + 8x + 4

To know more about **function**:

#SPJ2

the answer should be C