The area is a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Round to the nearest whole number.

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Check the picture below.

The inequality -6n < -12 has all numbers greater than 2 as its solution after isolating 'n'. We achieve this by dividing both sides by -6 and flipping the inequality sign.

To solve this inequality, -6n < -12, you first need to isolate 'n' on one side of the inequality. We do this by dividing both sides of the inequality by -6. It's important to remember that when we divide or multiply an inequality by a negative number, we need to flip the direction of the inequality sign. So, the inequality would become n > 2. This means that all numbers greater than 2 are the solutions of the inequality.

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Answer:

150

Step-by-step explanation:

500 is 125% of 400 (500/400) so you need to get what 125% of 120 is

120                              x   1.25                            =150

^number of children        ^125% as a decimal

To find the number of children after the same percent increase in population as the adults, calculate a 25% increase based on the adult growth from 400 to 500. Applying this to the original child population (120), there were 150 children in 2010.

The question pertains to the percent increase in population and requires finding the number of children in a town given the increase in adult population. Specifically, the child population in 2000 was 120, and the adult population increased from 400 to 500 from 2000 to 2010. Assuming that the child population increased by the same percent as the adult population, we need to calculate this percentage increase and then apply it to the number of children to find the updated child population in 2010.

To find the percentage increase in the adult population:

Since the child population increased by the same percentage, we then:

Therefore, there were 150 children in the town in 2010.

Answer:

A. V=BH

Step-by-step explanation:

The exact volume email of the cylinder in the image is 324π in³.

This is calculated using the formula for the volume of a cylinder:

Volume = πr²h

where:

π is a mathematical constant with the approximate value of 3.14

r is the radius of the cylinder

h is the height of the cylinder

In the image, the radius of the cylinder is 3 in and the height is 6 in. Therefore, the volume of the cylinder is:

Volume = π(3 in)²(6 in)

Volume = π(9 in²)(6 in)

Volume = 54π in³

However, the image also contains the text 324π in³.

This is the correct volume of the cylinder, as it takes into account the fact that the cylinder is hollow.

Therefore, the exact volume email of the cylinder in the image is 324π in³.

For similar question on exact volume.

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Another name for temporary worker is contingent employment.

So the correct answer is A.

Hope this helps,

Davinia.

Answer:

An equivalent expression is 18(2 + x)

Step-by-step explanation:

To find this, look for the greatest common factor. Since both terms are divisible by 18 equally, we take 18 out of each term. Then we divide both terms by 18 and express in a parenthesis.

18(2 + x)

The answer is there

Answer: It is a function.

Step-by-step explanation:

By definition,  a function is a relation in which the input value (the x value) has one and only one output value (value of y).

The first number of each ordered pair is the input value and the second number of each ordered pair is the output value.

As you can see, the inputs value of the relation given in the problem have one and only one output value. Therefore, you can conclude that the relation is  a function.

Answer:

B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.

Step-by-step explanation:

Given choices are :

A. a ray is formed by lines that do not cross each other.

B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.

C. a ray is formed by two lines that cross at one point.

D. a ray is formed when two points on a line are labeled

Now we need to determine about which sentence is true about a ray.

We know that a ray has one fixed end point and other point moves infinitely then correct choice is :

B. A ray is formed by an endpoint and a line is starting at the endpoint and going to forever in one direction.

Answer: option B

Step-by-step explanation:

To solve this exercise you must apply the proccedure shown below:

- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).

[tex]b^m*b^n=b^{(m+n)}[/tex]

- Add the like terms.

Therefore, you obtain that the product is:

[tex](x^2+3x+4)(3x^2-2x+1)=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4\\=3x^4+7x^3+7x^2-5x+4[/tex]

Answer:

B

Step-by-step explanation:

When multiplying [tex](x^2+3x+4)(3x^2-2x+1)[/tex], we can use the distributive property of multiplication over addition:

[tex](x^2+3x+4)(3x^2-2x+1)=x^2\cdot 3x^2+x^2\cdot (-2x)+x^2\cdot 1+3x\cdot 3x^2+3x\cdot (-2x)+3x\cdot 1+4\cdot 3x^2+4\cdot (-2x)+4\cdot 1=3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4.[/tex]

Now group the like terms:

[tex]3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4=3x^4+(-2x^3+9x^3)+(x^2-6x^2+12x^2)+(3x-8x)+4=3x^4+7x^3+7x^2-5x+4.[/tex]

Given is - the monthly maintenance costs have an average of $3500 and a standard deviation of $257. This means that around 95% of the distributed data lies within the ranges of -257 to +257 of the given standard deviation.

Hence, range becomes :

[tex]3500-257=3243[/tex] and [tex]3500+257=3757[/tex]

Thus, the range is (3243 , 3757)

Answer:

(2996.28, 4003.72)

is 95% range.

Step-by-step explanation:

Given is -

the monthly maintenance costs have an average of $3500 and a standard deviation of $257.

If X denotes the monthly maintenance costs of the company then

X is N(3500,257)

To find out 95% of the range we have Z critical = 1.96

So lower bound of range[tex]= 3500-1.96*257[/tex] and

Upper bound [tex]= 3500+1.96*257[/tex]

Hence, range becomes :

(2996.28, 4003.72)

Answer:

[tex] c = - \frac { 5 } { 7 } [/tex]

Step-by-step explanation:

We are given the following equation and we are to solve it for [tex]c[/tex]:

[tex] - 5 = c7 [/tex]

Switching the sides of the equation we get:

[tex] c \times 7 = -5 [/tex]

Then dividing both sides of the equation by 7 to get:

[tex] \frac { c \times 7 } { 7 } = \frac { - 5 } { 7 } [/tex]

[tex] c = - \frac { 5 } { 7 } [/tex]

Answer:

The first alternative is correct

Step-by-step explanation:

We move all the expressions to the left hand side of the inequality then combine like terms using lcm;

[tex]\frac{3}{1}+\frac{4}{x}-\frac{x+2}{x}\geq0\\\\\frac{3x+4-(x+2)}{x}\geq0\\\frac{2x+2}{x}\geq0[/tex]

Answer:

the first one

Step-by-step explanation:

Express the left side as a single fraction

3 + [tex]\frac{4}{x}[/tex]

= [tex]\frac{3x+4}{x}[/tex], hence

[tex]\frac{3x+4}{x}[/tex] ≥ [tex]\frac{x+2}{x}[/tex]

Subtract [tex]\frac{3x+4}{x}[/tex] from both sides

0 ≥ [tex]\frac{x+2}{x}[/tex] - [tex]\frac{3x+4}{x}[/tex]

0 ≥ [tex]\frac{-2x-2}{x}[/tex]

Multiply both sides by - 1, remembering to reverse the inequality symbol as a consequence

0 ≤ [tex]\frac{2x+2}{x}[/tex], hence

[tex]\frac{2x+2}{x}[/tex] ≥ 0

Answer:

The vertices of the pre-image are (-2, -2), (1, 1), (3, -1), and (2, -4).

Since the pre-image is reflected across the x-axis, leave each x-coordinate the same, and change the sign of each y-coordinate.

The vertices of the new image are (-2, 2), (1, -1), (3, 1), and (2, 4).

Answer:

5q^3+25q^2

Step-by-step explanation:

YES IT IS RIGHT.YOU ARE RIGHT

Answer:

Should be A pretty sure

Step-by-step explanation:

Answer:

y = 23

Step-by-step explanation:

Assuming the equation not below is y = mx + b form...

m = 4

x  = 3

b = 11

               y = 4(3) + 11

                   y = 12+ 11

                        y = 23

The required value of y = 23.

Given - m = 4
             x = 3
            b = 11

equation is the relationship between variable and represented as    is example of polynomial equation.

given equation

y = mx + b

y = 4x3 + 11
y = 12+11

y = 23

Thus, the required value of y = 23

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Answer:

Simplify √ 105  

A. 2√ 7  

B. 2√ 3  

C. √ 105

D. √ 42

Step-by-step explanation:

Answer:

[tex]\sqrt{105}[/tex]

Step-by-step explanation:

I'm not 100% sure why, but I looked it up on a scientific calculator.

Hope it helps, : )

.:!LightningBug!:.

10 students choose cheese that crackers

Answer:

Step-by-step explanation:

It's either 160 or 5 don't ask

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}\\x^{2}=100\\x=10\ in[/tex]

Answer:

192 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ( b is the base and h the perpendicular height )

here b = 24 and h = 8, hence

A = 24 × 8 = 192 cm²

I hope this helps :)

9, it’s further from the common area of plots

Answer:

9

Step-by-step explanation:

an outlier is an observation point that is distant from other observations

Answer:

Lets say you have 40 apples and 17 "peats". You decide to give your friend, Timmy, 2/3's of the apple, because you know that he loves apples! You also give him 2/7 of your "peats". How many apples and peats, combined, does that leave you with?

Step-by-step explanation:

There really is none.

Answer: i think its 1.6 but i could be wrong if im not im glad to help

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

9*12=108

108+16=124

124-22=102

I hope this helps!

Answer:

The final answer is 102

Step-by-step explanation:

It is given that, 9 x 12 + 16 - 22

It is a simple mathematics problem,

First we have to multiply 9 and 12 , then the resultant is added to 16 and 22 is subtracted from the final result.

To solve 9 x 12 + 16 - 22

9 x 12 + 16 - 22 = (9 x 12 ) + 16 - 22

 = 108 + 16 - 22 = 124 - 22 = 102

Therefore the final answer is 102

The solutions for the given problems involving factorials and permutations are 8! = 40,320, 5P5 = 120, 8P4 = 1,680, 7P7 = 5,040 and the number of arrangement for 4 performers out of 9 is 3,024.

The subject here is mathematics, specifically factorials and permutations. Factorials are represented by the symbol '!'. The factorial of a number n is the product of all positive integers less than or equal to n. For example, 8! = 8*7*6*5*4*3*2*1 = 40,320.

Permutations refer to the number of ways a set of objects can be arranged. 'nPn' always equals to the factorial of n, therefore 5P5 equals to 5! = 5*4*3*2*1 = 120 and 7P7 equals to 7! = 7*6*5*4*3*2*1 = 5,040.

'nPm' equals to n factorial divided by (n-m) factorial. So, 8P4 equals to 8!/(8-4)! = (8*7*6*5)/1 = 1,680.

For the last question, the number of ways 4 performers can stand in a row out of 9, is calculated as a permutation of '9P4' (because the order of performers matters). Thus, it will be 9!/(9-4)! = 9*8*7*6 = 3,024.

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Answer:

David：£32

Dan：£40

Step-by-step explanation:

she can buy b and e because they are less than 50 dollars

Answer:

400

Step-by-step explanation:

The cost is arrived to by adding the initial cost of the drone to the total cost of all the extra propellers. The cost of per propeller due to tax being 25 we get the following expression.

That is: 300+ 4(25)

=400