A net and the prism it will form when it is folded are shown below.

What is the surface area of the prism in square centimeters?
A)724 square centimeters
B)972 square centimeters
C)1,089 square centimeters
D)1,320 square centimeters

Answer:

x=-16/3 (-5.33)

Step-by-step explanation:

3(x-2)+4x=10(x+1)

3x-6+4x=10x+10

7x-6=10x+10

-6-10=10x-7x

-16=3x

x=-16/3

Answer: [tex]x=-\frac{16}{3}[/tex]

Step-by-step explanation:

Given the equation [tex]3(x - 2) + 4x = 10(x+ 1)[/tex], you need to solve for the variable "x":

Apply Distributive property:

[tex]3x - 6 + 4x = 10x +10[/tex]

Add the like terms:

[tex]7x - 6= 10x+10[/tex]

Subtract 10 to both sides of the equation:

[tex]7x - 6-10= 10x +10-10\\\\7x-16=10x[/tex]

Subtract [tex]7x[/tex] from both sides:

[tex]7x-16-7x=10x-7x\\\\-16=3x[/tex]

And finally divide both sides by 3:

[tex]\frac{-16}{3}=\frac{3x}{3}\\\\x=-\frac{16}{3}[/tex]

Check the picture below.

let's recall Cavalieri's principle, that solids with equal altitudes and identitical cross-sectional areas at each part all the way up, have the same volume.

so, for a prism like this that is not oblique, with rhombic bases of area 600 and a height/altitude of 24, the volume will simply be the base * height, 600 * 24 = 14400.

well, based on Cavalieri's principle, an oblique one will also have the same volume.

Answer:

The volume of the prism is 14400 units³.

Step-by-step explanation:

It is given that an oblique prism is created using rhombuses with edge lengths of 25 units.

The volume of a prism is

[tex]V=B\times h[/tex]                   ..... (1)

Where, B is base area and h is height of the prism.

It is given that the area of one rhombus is 600 sq units. The perpendicular distance between the bases is 24 units.

Substitute B=600 and h=24 in equation (1) to find the volume of the prism.

[tex]V=600\times 24[/tex]

[tex]V=14400[/tex]

Therefore the volume of the prism is 14400 units³.

The answer is:

D. The volume is the product of the area of the base, (x+8)(x-3) and the height,  2x-5

From the statement we know that the volume of the block is given by the following expression:

[tex](x+8)(x-3)(2x-5)[/tex]

We also know that we can calculate the volume of a block using the following equation:

[tex]Volume=AreaOfTheBase*Height[/tex]

So, from the given picture we know that:

[tex]AreaOfTheBase=Length*Width=(x+8)(x-3)\\Height=2x-5[/tex]

Hence, we have that the correct option is:

D. The volume is the product of the area of the base, (x+8)(x-3) and the height,  2x-5

Have a nice day!

Answer:

Option b: 6√3

Step-by-step explanation:

Given expression is:

[tex]\sqrt{36*3}[/tex]

We have to factorize the radicand in order to solve the given radical

So,

[tex]= \sqrt{3*3*2*2*3}[/tex]

In order to solve the square root pairs are made:

[tex]=\sqrt{2^2 * 3^2 * 3}[/tex]

To evaluate the square root, the exponents are multiplied by 1/2

[tex]= 2^{(2*\frac{1}{2})} *3^{(2*\frac{1}{2})} * 3^{(\frac{1}{2})}\\=2*3*\sqrt{3} \\=6\sqrt{3}[/tex]

Hence, option b is correct ..

Answer: b

Step-by-step explanation: b

Answer:

10

Step-by-step explanation:

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

Why?

Because if you translate something, you are only moving it somewhere else. You aren't stretching the shape or making any modifications. You are simply moving it, and that will only change the coordinates the points will be at.

The length of A1B1 is 10.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

Given

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

To know more about translation refer to :

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Answer:

x= 1, -2/3

Step-by-step explanation:

Answer:

G(2+h)=3(2+h)^3

Step-by-step explanation:

We need to put the value of the required digit , we have to find the value of . So go on solving and you will get your answer.

i need a picture if im going to help

The intersection of lines M and T is the point where the lines meet or cross over each other.

To find the intersection, solve the system of equations formed by the two lines. Once you have the coordinates of the intersection point, name it accordingly.

The intersection of two lines, M and T, is the point where the two lines meet or cross over each other.

To find the intersection, we need to determine the coordinates of the point where the lines M and T intersect.

We can find the intersection by solving the system of equations formed by the equations of the two lines.

The system of equations will have two variables (x and y) and we can solve for their values.

Once we have the coordinates of the intersection point, we can name it accordingly.

For example, if the intersection point has coordinates (3, 4), we can name it as point P(3, 4).

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Answer:

Step-by-step explanation:

y=6x-2

y=6x-4

6x - 2 = 6x - 4

6x -6x = -4+2

0 = -2  ....false

no solutions

Answer: (8, -7)

Step-by-step explanation:

Answer:

(8,-7)

Step-by-step explanation:

The mode is the number that appears most often in a data set.

For number two you have the numbers 100, 83, 97, 63, 83

The number 83 is listed two times and the other numbers are only listed once.

The mode would be 83

Answer:

D

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{BD}{CD}[/tex] = [tex]\frac{AD}{BD}[/tex]

Substitute values

[tex]\frac{h}{16}[/tex] = [tex]\frac{9}{h}[/tex] ( cross- multiply )

h² = 16 × 9 = 144 ( take the square root of both sides )

h = [tex]\sqrt{144}[/tex] = 12 → D

Answer:

Im pretty sure its answer d hope that helped

Step-by-step explanation:

D. f(x) = 5*.

The derivative of a function may be used to determine whether the function is increasing or decreasing at any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

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Answer:

isosceles because only two sides are equal

[tex]\frac{4}{7}/\frac{-3}{8}[/tex]

With division when using fraction the first fraction stays the same, but you will switch the division sign to multiplication and you will take the reciprocale (flip the numerator and denominator) of the second fraction like so...

[tex]\frac{4}{7}*\frac{-8}{3}[/tex]

Now you can multiply normally:

[tex]\frac{4*(-8)}{7*3}[/tex]

[tex]\frac{-32}{21}[/tex] <<<This is your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

Step-by-step explanation:

0.89 = 1 - 1/(k²)

Start by subtracting 1 from both sides:

0.89 - 1 = -1/(k²)

-0.11 = -1/(k²)

Multiply both sides by -1:

0.11 = 1/(k²)

Multiply both sides by k²:

0.11 k² = 1

Divide both sides by 0.11:

k² = 1 / 0.11

Take the square root:

k = √(1 / 0.11)

Answer:

+/- 3.015 to the nearest thousandth.

Step-by-step explanation:

0.89 = 1 - 1 / k^2

Multiply through by k^2

0.89k^2 = k^2 - 1

k^2 - 0.89k^2 = 1

0.11 k^2 = 1

k^2 = 1/0.11 = 9.091

k = +/- √0.091

= +/-3.015.

Answer:

[tex]\large\boxed{\dfrac{13}{20}=0.65}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\dfrac{13}{20}=\dfrac{13\cdot5}{20\cdot5}=\dfrac{65}{100}=0.65\\\\\bold{METHOD\ 2}\\\\\dfrac{13}{20}=13:20\qquad\text{use the calculator or long division}\\\\=0.65[/tex]

Hello There!

[tex]\frac{13}{20}=0.65[/tex]

13÷20≈0.65

the angles are supplementary meaning they equal 180 degrees so 100-x=180

x=80

ANSWER

[tex]m \angle ACE = 80 \degree[/tex]

EXPLANATION

Recall that adjacent angles on a straight line will add up to 180°

From the diagram, m<ACD and m<ACE are adjacent angles on a straight line because they have a common vertex at C.

We sum the two angles and equate them to 180°

[tex] m \angle \: ACD + m \angle ACE = 180 \degree[/tex]

From the diagram

[tex]m\angle ACD= 100 \degree[/tex]

We substitute the known angle to obtain:

[tex]100 \degree + m \angle ACE = 180 \degree[/tex]

[tex]m \angle ACE = 180 \degree - 100 \degree[/tex]

[tex] \therefore \: m \angle ACE = 80 \degree[/tex]

Answer:

0.03

Step-by-step explanation:

First you should find what is 20% of 2

This can be written as ;

[tex]=\frac{20}{100} *2=\frac{40}{100}\\ \\\\=\frac{40}{100} =0.4[/tex]

Let now find 3/7

[tex]\frac{3}{7} =0.4285\\\\\\=0.43[/tex]

Get the difference in the values

[tex]0.43-0.40=0.03\\\\\\[/tex]

You can see 3/7 is 0.03 larger than 20% of 2.

Answer:

(m+5)(m^2-5m+25)

Step-by-step explanation:

x^3+y^3=(x+y)(x^2-xy+y^2)

x^3+125

x^3+5^3=(x+5)(x^2-5x+5^2)

x^3+5^3=(x+5)(x^2-5x+25)

So answer is

(m+5)(m^2-5m+25)

Answer:

A

Step-by-step explanation:

2y=3x-4

4=3x-2y

3x-2y=4

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, 9)

m = [tex]\frac{9-2}{3+4}[/tex] = [tex]\frac{7}{7}[/tex] = 1 → A

Answer:

The mixed number, can be written as the improper fraction, . The reciprocal of is found by interchanging (“flipping”) the numerator and denominator. When you divide by a whole number, you multiply by the reciprocal of the divisor.

Step-by-step explanation:

To get the reciprocal of a fraction, swap the numerator and denominator; if the original fraction's numerator is divisible by the denominator, the reciprocal will be a whole number. Multiplying by a fraction is the same as dividing by its reciprocal.

To find the reciprocal of a fraction, you simply swap the numerator and the denominator.

For example, the reciprocal of ⅔ (which is 2/8) is 8/2.

However, if you have a fraction and you want to get a reciprocal that is a whole number, you must ensure that the numerator of the original fraction is divisible by the denominator.

If we consider the fraction ⅕ (which is 1/5), its reciprocal is 5/1, or simply 5, which is a whole number.

In essence, finding a reciprocal involves flipping the fraction: turning the top number (numerator) into the bottom number (denominator), and the bottom number into the top number.

This process is akin to multiplying or dividing by the fraction.

For instance, when you multiply a value by a fraction, you are effectively dividing by its reciprocal, and vice versa.

Multiplying fractions involves multiplying the numerators together and the denominators together, and simplifying where possible.

Answer:

Measure of central tendency (center)

it is called median

Answer:

The correct answer is last option (6x)² - (5)²

Step-by-step explanation:

It is given an expression in variable x,

36x² - 25

To find the equivalent expression of  36x² - 25

We have, 36 = (±6)²  and 25 = (±5)²

36x² - 25 can be written as,

36x² - 25 = (±6x)² - (±5)²

From the given options we get the correct answer is last option

(6x)² - (5)²

Answer:

D

Step-by-step explanation:

inal answer:

To calculate the reimbursement rate per gallon, multiply the total miles traveled by all employees by the average gas mileage and divide the total reimbursement amount by the total gallons used, resulting in a rate of $1.40 per gallon.

Explanation:

To find the rate in dollars per gallon that the company uses to reimburse employees, we need to calculate the total gallons of gas consumed and then divide the total amount paid out by the total gallons used.

The average employee traveled 12,250 miles, and the average gas mileage was 22.5 miles per gallon:

Total miles for all employees: 126 employees × 12,250 miles/employee = 1,543,500 miles.

Total gallons consumed: 1,543,500 miles ÷ 22.5 miles/gallon = 68,600 gallons.

Rate of reimbursement per gallon: $96,040.00 ÷ 68,600 gallons ≈ $1.40 per gallon.

Therefore, the reimbursement rate is $1.40 per gallon.

Final answer:

The reimbursement rate in dollars per gallon is calculated by determining the total gallons of gas used by all employees and then dividing the total reimbursement amount by this figure. The computation shows a reimbursement rate of $1.40 per gallon.

Explanation:

To determine the rate in dollars per gallon that the company uses to reimburse employees, we need to calculate the total gallons of gas used by the average employee and then find out how much the company paid per gallon.

Thus, the correct answer is C) $1.40 per gallon.

Answer:

simple random

In a simple random sample, individuals all have an equal chance of being selected, ensuring unbiased and representative data. Thus, option a. is correct.

In a simple random sample, individuals all have an equal chance of being selected, and all samples have an equal chance of being selected. This method ensures that each member of the population is equally likely to be chosen, resulting in unbiased and representative data.

Other sampling methods like cluster sampling and stratified sampling do involve randomness but in different ways. For instance, cluster sampling involves selecting entire clusters, such as departments or geographical areas, at random and including all members from those clusters in the sample.

In contrast, stratified sampling involves dividing the population into strata based on characteristics and then randomly sampling from each stratum.

Thus, option a. simple random sample is correct.

Answer:

3x = 6

Step-by-step explanation:

Combine:

6x + 5y =16

- (6x + 2y=10)

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

     3y = 6, so that y = 2 (We weren't actually asked to find the solution.)

Answer:

3y-6

Step-by-step explanation:

Answer:

5/9(F-32) = C

Step-by-step explanation:

F= 9/5C+32

Subtract 32 from each side

F-32= 9/5C+32-32

F-32 = 9/5 C

Multiply each side by 5/9 to isolate C

5/9(F-32) = 5/9*9/5 C

5/9(F-32) = C

Final answer:

To convert Celsius to Fahrenheit, multiply the Celsius temperature by 9/5 (or 1.8) and then add 32. For example, to convert 20 degrees Celsius to Fahrenheit: (9/5) * 20 = 36, and then add 32 to get 68 degrees Fahrenheit.

Explanation:

To solve the formula for converting temperature from degrees Celsius (C) to degrees Fahrenheit (F), you start with the given equation:

F = [tex]\frac{9}{5}[/tex]+ 32

This equation allows you to convert a temperature from Celsius to Fahrenheit by multiplying the Celsius temperature by 9/5 (or 1.8) and then adding 32. The formula reflects the fact that the Fahrenheit scale has a freezing point at 32 degrees higher than the Celsius scale's freezing point, and that each degree Celsius is equivalent to 1.8 degrees Fahrenheit. Here's a step-by-step explanation to convert Celsius to Fahrenheit:

Multiply the Celsius temperature by 9/5.

Add 32 to the result of this multiplication to get the temperature in Fahrenheit.

For instance, to convert 20 degrees Celsius to Fahrenheit:

(9/5) * 20 = 36

36 + 32 = 68 degrees Fahrenheit.

Hence, 20 degrees Celsius is equal to 68 degrees Fahrenheit when you apply the temperature conversion formula.