Mathematics High School

(3xy^3)^2 (xy)^6 simplify the expression

Answers

Answer 1

9x8y12 it a lot of work to do so I don't want to type how to do the problem

Related Questions

If a class has 10 men and 14 women what is the ratio of men to the class

Answers

The ratio of men to class is 0.41.

We have a class of 10 men and 14 women.

We have to find out what is the ratio of men to the class.

Is a : b same as [tex]\frac{a}{b}[/tex] ?

Yes, a : b is same as [tex]\frac{a}{b}[/tex]. Here, ' a ' is called Antecedent and ' b ' is called Consequent.

In the question given -

Total number of men in the class , n(m) = 10

Total number of students in class, n(c) = 24

Ratio of men to class = [tex]\frac{n(m)}{n(c)}[/tex] = [tex]\frac{10}{24}[/tex] = 0.41

Hence, the ratio of men to class is 0.41.

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Final answer:

The ratio of men to the entire class of 10 men and 14 women is 5:12, simplified by dividing the numbers of men and total students by the greatest common divisor.

Explanation:

The question asks to find the ratio of men to the entire class. The class has a total of 10 men and 14 women, which means the class size is 10 (men) + 14 (women) = 24 students.

To calculate the ratio of men to the entire class, divide the number of men by the total number of students: Ratio = 10 (men) / 24 (students). This can be simplified by dividing both numbers by the greatest common divisor, which is 2, giving us a simplified ratio of 5 (men) to 12 (students).

The ratio of men to the class is therefore 5:12.

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).

A. 104
B. −246
C. 146
D. 250

Answers

Answer:

Option A is correct

The value of (h ∘ g)(−5) is, 104

Step-by-step explanation:

Given the functions:

g(x) = 2x

[tex]h(x) = x^2 + 4[/tex]

We have to find (h ∘ g)(−5).

[tex](h o g)(-5) = h(g(-5))[/tex] ....[1]

At x = -5

g(-5) = 2(-5) = -10

then

Substitute the g(-5) in [1] we have;

[tex](h o g)(-5) = h(-10)[/tex]

⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]

⇒[tex](h o g)(-5) = 104[/tex]

therefore, the value of (h ∘ g)(−5) is, 104

Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each foot the car travels during this time, its speed changes by −0.2 miles per hour.

What is the total change in the car's speed during that time?

a) -36.15
b) -60.1
c) 60.10
d) 36.15

Answers

multiply 300.5 feet by -0.2 mph

300.5 * -0.2 = -60.1 change

One day a store sold 20 sweatshirts. White ones cost $ 10.95 and yellow ones cost $ 13.50. In all, $262.35 worth of sweatshirts were sold. How many of each color were sold?

Answers

17 yellow sweatshirts were sold and 3 white sweatshirts were sold.

How did I get this?

First, we need to figure out what we know.
20 sweatshirts sold
White sweatshirts $10.95
Yellow sweatshirts $13.50
Total spent $262.35

$10.95W + $13.50Y = $262.35
W + Y = 20 sweatshirts

In both equations, the variables represent the amount of sweatshirts sold, which is unknown, but when we know the amount it will add up to $262.35.

Y = 20 - W so lets substitute that into the first equation

10.95w + 13.50(20 - W) = 262.35
Distribute the 13.50 into the parenthesis.

10.95w + 270 - 13.50w = 262.35
Combine like terms.

-2.55w + 270 = 262.35
Subtract both sides by 270, the left side will cancel out.

-2.55w = -7.65
Divide -2.55 by both sides to isolate the variable.

W = -7.65/-2.55
(W)hite = 3 sweatshirts

Put 3 sweatshirts into our second equations.

Y = 20 - 3
(Y)ellow = 17 sweatshirts

So, 17 yellow sweatshirts were sold and 3 white sweatshirts were sold.

Now, lets check our math by substituting the # of sweatshirts into our first equation.

$10.95(3) + $13.50(17) = $262.35
$32.85 + $229.50 = $262.35
$262.35 = $262.35 (correct!)

I really really need help with this question! PLEASE!

Answers

Since it's 2x+1 when x>1 (greater than 1) and x² when x≤1 (less than or equal to 1), we can notice that 0 is less than 1 and not greater than 1. Therefore, we plug it into x² to get 0²=0 for f(0). To graph this, it's pretty simple. Simply graph both functions, but when x=1 for x² simply erase everything to the right of it. For 2x+1, do the same thing but for x=1 (1, 3) simply erase everything to the left of it. In addition, since it doesn't have a x=1 value (since it has to be greater than 1), we put a open circle in at (1, 3)

Which of the following is the range thanks

Answers

c. Its just the right hand column.:)

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?

Answers

Let x represent the number of pairs of socks purchased,
and let y represent the number of blouses purchased.
socks that cost $2.99 for each pair
and blouses that cost $12.99 each

equation
2.99x + 12.99y = 43.92

Answer:

[tex]2.99x+12.99y=43.92[/tex]

Step-by-step explanation:

Hanna shops for socks that cost $2.99 for each pair.

And blouses that cost $12.99 each.

Let x represent the number of pairs of socks purchased.

Let y represent the number of blouses purchased.

So, the cost for x socks will be [tex]2.99x[/tex]

And cost of y blouses will be [tex]12.99y[/tex]

Total amount spent by Hanna = $43.92

So, the equation that will model this situation will be:

[tex]2.99x+12.99y=43.92[/tex]

Rectangle EFGH is translated according to the rule T -5,9(x,y). If the coordinates of the pre-image of point H are(-2,-3) what are the coordinates of H’

Answers

The new coordinates of H would be (-7,6).

Answer: The co-ordinates of the image H' are (-7, 6).

Step-by-step explanation: Given that the rectangle EFGH is translated according to the following rule :

[tex]T_{-5,9}(x,y).[/tex]

We are to find the co-ordinates of the image H' if the co-ordinates of the pre-image H are (-2, -3).

We know that

[tex]T_{h,k}(x,y)=(x+h,y+k).[/tex]

For the given information, we have

(h, k) = (-5, 9) ⇒ h = -5 and k = 9.

Therefore, we get

[tex]T_{-5,9}(-2,-3)=(-2-5,-3+9)=(-7,6).[/tex]

Thus, the co-ordinates of the image H' are (-7, 6).

A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now

Answers

Charli,

First find what 1/4 of 2/3 is.

1/4 of 2/3 = 1/6

(That is 1/4 times 2/3 = 1/6)

So, the bottle was 2/3 full, it is now ...

2/3 - 1/6

=4/6 - 1/6

= 3/6 or 1/2 full.

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

Hence the bottle is now one half full

Hank draws a line with a zero slope through the points (–2, 4) and (3, b). Which value of b could represent Hank’s second point? –3 –1 4 9

Answers

4
(-2,4)(3,4)

4-4. / 3- -2=. 0/5=0

So the answer is 4

Hope this helped

As per the slope of a line, the value of 'b' is 4.

What is the slope of a line passing through two points?

The slope of a line(m) passing through two points (x₁, y₁) and (x₂, y₂)can be represented as:

m = (y₂ - y₁)/(x₂ - x₁)

Given, the slope of the line is (m) = 0.

Here the given points are (–2, 4) and (3, b).

Therefore, substituting the values, we get:

0 = (b - 4)/[(3 - (- 2)]

⇒ (b - 4)/5 = 0

⇒ b - 4 = 0

⇒ b = 4

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How many perfect squares less than 100 have a tens digit of 6?

Answers

only one, 8^2=64
^^^^^^^^^^

Jane has $1000 that she would like to put in a savings account. The table below shows the balance over time in her account at a local bank.

Based on this model, how much would Jane have in her account after 12 years? Round to the nearest dollar if necessary.

time (years) balance in account
0 1000
1 1080
2 1166.40
3 1259.71
4 1360.49

answers
A.2518
B.2520
C.3000
D.2500

Answers

The answer is C. 3000

b is the answer to your question

Describe the translation from AB TO AB

Answers

→A = (-5,1)

A' = (4,3)

so x moved from -5 to 4 which is an increase of 9

so x+9

y moved from 1 to 3 which is an increase of 2

so y+2

so answer should be:

(x,y) → (x+9,y+2)

Bens date of birth is a prime number between 15 and 25. This number has 57 as a multiple.

Answers

this number would be 19 because 19 is a prime number and 19*3 is 57, making 57 a multiple of 57

The prime factorization of 57 is 3 x 19. Since 19 is the only prime factor of 57 between 15 and 25, it must be 19.

A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401k plan if his employer matches 9% of his contributions how much will have been contributed to the 401k plan after 4 years

Answers

(25,000 x .06) x 1.09 x 4 = answer.

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 153°, c = 10, b = 14

Answers

Answer:

The given triangle is possible.

Step-by-step explanation:

Given, the measurement of triangle ABC are,

∠ B = 153°, c = 10, b = 14,

By the law of sine,

[tex]\frac{sin C}{c}=\frac{sin B}{b}[/tex]

By cross multiplication,

[tex]sin C = \frac{c\times sin B}{b}[/tex]

By substituting the values,

[tex]sin C=\frac{10\times sin 153^{\circ}}{14}[/tex]

[tex]sin C=0.324278928386[/tex]

[tex]\implies \angle C=18.9218948147\approx 18.922^{\circ}[/tex]

Since, with help of sin law we found the measurement of the unknown angle of the triangle.

Hence, the given triangle is possible.

Answer:

C = 18.9°, A = 8.1°, a ≈ 4.3

The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes about 412 minutes to make. About how long will each member of the committee have to spend making flowers?

Answers

Answer:

About 7 hours per person

Step-by-step explanation:

412 divided by 60 because there are 60 minutes in an hour.

6.8667 which is about 7 hours.

The each member will take 7 hours.

What is Unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value

Given:

total member = 6 member

Each flower take = 412 minutes

we know

1 hour= 60 minutes

So, each member will have

=412/60

=6.866

=7 hours

Hence, each member will work for 7 hours

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Which ordered pairs are solutions to the inequality 2x+y>−4?
Select each correct answer.

(5, −12)

(−3, 0)

(−1, −1)

(0, 1)

(4, −12)

Answers

we will proceed to resolve each case to determine the solution

we have

[tex]2x+y>-4[/tex]

[tex]y>-2x-4[/tex]

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) [tex](5,-12)[/tex]