this is all my 30 points please help
Find the surface area of the composite solid.

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

For more questions on prism

https://brainly.com/question/23963432

#SPJ8

Answer:

Qualitative data

Neither discrete or continous

Ordinal

Step-by-step explanation:

Qualitative data simply refers to Non-numeric measure, they make use of data labels which are expressed in words rather than figures or numbers.

For a data to be either discrete or continous, then it has to be numeric, since the data is qualitative and non- numeric, then it is neither continous or discrete.

This is an ordinal scale representation of data as data are ordered or ranked in terms of performance, however, there is no measure of difference between each rank or order. The highest level of performance in the scale is Excellent.

Answer:

3.20 gallons

Step-by-step explanation:

The function g( x ) is translated to the left by 9 units and down by 5 units.

Given data ,

Let the first function be represented as f ( x )

where the value of f ( x ) = | x |

Let the translated function be g ( x )

where the value of g ( x ) = | x + 9 | - 5

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

On translating to the left , f ( x + a )

So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |

Now , when the function is translated 5 units down , f ( x ) - 5

So , the translated function is g ( x ) = | x + 9 | - 5

Hence , the function is translated to the left by 9 and up by 5 units.

To learn more about translations click :

https://brainly.com/question/19007400

#SPJ1

The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A right triangle with side lengths 5, 12, and 13.

tanФ = 5/12.

tanФ = 0.42.

Ф = tan⁻¹(0.42).

Ф = 22.8°.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ1

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

Answer:

B. QT = 18; TR = 8

Step-by-step explanation:

QT = x + 6

SR = 12

PS = 27

TR = x - 4

PR/SR = QR/TR (Similarity theorem)

PR = PS + SR = 27 + 12

PR = 39

QR = QT + TR = x + 6 + x - 4

QR = 2x + 2

Substitute

39/12 = (2x + 2)/(x - 4)

13/4 = (2x + 2)/(x - 4)

Cross multiply

13(x - 4) = 4(2x + 2)

13x - 52 = 8x + 8

Collect like terms

13x - 8x = 52 + 8

5x = 60

x = 60/5

x = 12

✔️QT = x + 6

Plug in the value of x

QT = 12 + 6

QT = 18

✔️TR = x - 4 = 12 - 4

TR = 8

Evaluate the value of expression.

Answer: 240

Answer:

y = 7x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope m = 7

Random point (-2, 3)

Step 2: Substitute

y = 7x + b

Step 3: Find b

3 = 7(-2) + b

3 = -14 + b

17 = b

Step 4: Write linear equation

y = 7x + 17

Answer:

DNE i think sorry if i am wrong

Step-by-step explanation:

The numerical value of the logarithm expression that is \(log\frac{a^2}{b^4c^4}\) is 10 when log a = -1, log b = -6 and log c = 3.

Given that,

We have to find the numerical value of the logarithm expression that is \(log\frac{a^2}{b^4c^4}\) when log a = -1, log b = -6 and log c = 3.

We know that,

The use of a logarithm can be applied to solve issues that cannot be resolved using the concept of exponents simply. A logarithm is simply a different way to define exponents.

So,

Take the logarithm expression that is \(log\frac{a^2}{b^4c^4}\)

= \(log\frac{a^2}{b^4c^4}\)

= log a² - log(b⁴c⁴)            [ from \(log\frac{x}{y}\) = log x-log y ]

= log a² - (log b⁴ + log c⁴)     [ from log (xy) = log x + log y ]

= 2log a  - 4log b - 4log c       [ from log xⁿ = nlog x ]

= 2( -1) - 4(-6) - 4(3)

= -2 + 24 - 12

= 24 - 14

= 10

Therefore, The numerical value of the logarithm expression that is \(log\frac{a^2}{b^4c^4}\) is 10.

To know more about logarithm visit:

https://brainly.com/question/15673235

https://brainly.com/question/31504842

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

For such more question on constraints

https://brainly.com/question/29989358

#SPJ8

Check the picture below.

\(\textit{perimeter of a rectangle}\\\\ P=2(L+w) ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ P=88\\ L=w+8 \end{cases}\implies 88=2( ~~(w+8)+w ~~ ) \\\\\\ 88=2(2w+8)\implies 88=4(w+4)\implies \cfrac{88}{4}=w+4 \\\\\\ 44=w+4\implies \boxed{40=w}\hspace{5em}\stackrel{w+8}{\boxed{L=48}}\)

Answer:

(x - 4)² + (y + 9)² = 5²

Step-by-step explanation:

The standard form equation is

(x - h)² + (y - k)² = r²

(h, k) is the center

r is the radius

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

Given (h, k) = (4, -9) and r = 5

(x - 4)² + (y + 9)² = 5²

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{(2~~,~~-4)}\qquad \implies y=a(x-2)^2-4\qquad \textit{we also know that} \begin{cases} y=-3\\ x=-3 \end{cases} \\\\\\ -3=a(-3-2)^2-4\implies 1=a(-5)^2\implies 1=25a\implies \boxed{\cfrac{1}{25}=a}\)

Answer:

\(h( - 5) = 1 \\ h(2) = 4 \\h(5) = 1\)

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

Apparently, i dont know but I will try.

Step-by-step explanation:

I believe its true because I'm a mathematician.

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

Learn more about volume at:
#SPJ1

No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

Read more about proportional relationship at

https://brainly.com/question/14425347

#SPJ1

Answer:

1/25

Step-by-step explanation:

f(x)=5^x

f(-2)=?

substitute -2 in place of x

f(-2)=5^-2

=1/5^2

=1/25

To calculate the APY (Annual Percentage Yield) for an account that pays 6% compounded daily, we can use the following formula:

APY = (1 + r/n)^n - 1

where r is the annual interest rate and n is the number of compounding periods per year.

In this case, r = 0.06 (6%) and n = 365 (since the interest is compounded daily). Therefore, we have:

APY = (1 + 0.06/365)^365 - 1

APY = 0.0618 or 6.18%

Therefore, the APY for an account that pays 6% compounded daily is 6.18%.

Answer: 1.45

Step-by-step explanation:

Answer:

6) a. 10%

   b. 10.01

   c. 14

7) a. Seattle

   b. Pittsburgh

   c. Seattle/3

   d. Seattle/6

Step-by-step explanation:

A,C,B,D,F,H are the rotations of the shape X given in the picture.

Rotations of shapes refer to the transformation of a shape around a fixed point called the center of rotation. This transformation involves rotating the shape by a certain angle while keeping the shape's size and shape consistent.

The angle of rotation determines how much the shape is rotated. It is measured in degrees or radians.

Properties of Rotations:

Rotations preserve the size and shape of the original shape.

Before and after the rotation, the distance between any two points on the shape and its centre of rotation remains constant.

The orientation of the shape may change, but its overall appearance remains unchanged.

Learn more about rotations:

https://brainly.com/question/30950864

#SPJ1

Answer:

2^5

Step-by-step explanation:

1^10 = 1 (1*1*1*1*1....)

5^2 = 25 (5*5)

2^5 = 32 (2*2*2*2*2)

3^3 = 27 (3*3*3)

The X variables have an overall correlation of 0. VIF, or Variance Inflationary Factor, measures the

Regression analysis's level of multicollinearity is gauged by a variance inflation factor, or VIF. When several independent variables in some kind of a model with multiple regression correlate with one another, this is known as multicollinearity. The regression findings may be significantly impacted by this.

Greater correlation between the variable and other variables is indicated by a higher value. With values of Ten or more being considered very high, values greater than 4 or 5 are occasionally considered to be moderate to high.

To know more about  variance inflation factor visit:

https://brainly.com/question/29584046

#SPJ4