The length of one side of a square is 3n+2. The Perimeter of the square is 4(3n+2).Which expression is equivalent to the perimeter.

Answers

Answer 1

Since a square's sides are all equal to each other, and the perimeter of a square is found by adding all of the sides together, we can distribute and simplify the given expression to find the answer:

4(3n+2) = 12n + 8

Answer 2

Answer:

[tex]P=12n+8[/tex]

Step-by-step explanation:

A square is a geometric figure that is made up of four equal and parallel sides.

The perimeter is the contour of a surface or figure. In other words, in a figure, the perimeter is the sum of all its sides.

In this sense, since in a square all its sides are equal, the perimeter of a square is given by:

[tex]Perimeter=P=l+l+l+l=4l\\\\Where:\\\\l=Length \hspace{3}of \hspace{3}one\hspace{3} of\hspace{3} its\hspace{3} sides[/tex]

So, in this case:

[tex]l=3n+2[/tex]

Therefore the perimeter is:

[tex]P=3n+2+3n+2+3n+2+3n+2[/tex]

Adding like terms:

[tex]P=(3n+3n+3n+3n)+(2+2+2+2)=12n+8[/tex]

Related Questions

Point M is the midpoint of AB . AM= 3x+3, and AB=8x−6

What is the length of AM?

The answer is 21 but i don't know the steps to get it. HELP

Answers

AM= Half of AB

or, 3x+3=(8x-6)/2
or, 6x+6=8x-6
or, 2x=12
Therefore,x=6

so,AM=3*6+3=21

Answer:

The length of AM is:

21 units.

Step-by-step explanation:

Point M is the midpoint of AB.

AM= 3x+3, and AB=8x−6

Since, the midpoint divides the line segment into two equal parts i.e. it bisects the line segment.

Hence, we have:

AM+MB=AB

Also, AM=MB

Hence, we have:

[tex]3x+3+3x+3=8x-6[/tex]

on combining the like terms in the left hand side of the equation we have:

[tex]3x+3x+3+3=8x-6\\\\6x+6=8x-6[/tex]

Now, on subtracting both side of the equation by 6x we have:

[tex]6=8x-6-6x\\\\6=8x-6x-6\\\\6=2x-6[/tex]

on adding 6 on both side of the equation we have:

[tex]6+6=2x\\\\12=2x\\\\2x=12\\\\x=\dfrac{12}{2}\\\\x=6[/tex]

Hence, we have:

[tex]AM=3\times 6+3\\\\AM=21\ \text{units}[/tex]

Given right triangle MNO, which represents the value of cos(M)?

a) ON/MN
b) MN/MO
c) ON/MO
d) MN/ON

Answers

The answer would be, B MN\MO HOPE IT HELPS

The option that represents cos M is MN / MO

Using trigonometric ratios, we can find the ratio of sides of a right angle triangle.

Trigonometric ratios:sin x = opposite / hypotenusecos x = adjacent / hypotenusetan x = opposite / adjacent

Therefore,

cos M = adjacent / hypotenuse

cos M = MN / 0M

Therefore, cos M = MN / MO

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Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4X^3=-27/4

Answers

We can start by separating the x^3, and that means we have to multiply both sides by 4, resulting in x^3=27. Next, we can find the cube root of both sides ( as x is the cube root of x^3), getting x=3

Answer:

x=3

Step-by-step explanation:

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

Yearly attendance at a local movie theater is 56,000 and grows continuously at a rate of 4.2% each year. What is the approximate attendance at the movie theater in nine years?

Answers

Yearly attendance = 56,000
The growth rate is 4.2% or 0.042 per year.

That is,
Year 0: 56,000
Year 1: 56,000*1.042
Year 2: 56,000*1.042²

and so on.

This is a geometric sequence with
a₁ = 56,000 and r = 1.042

The n-th term is
a(n) = a₁ rⁿ⁻¹

When n=9, obain
a₉ = 56,000*1.042⁸ = 77,826.9 ≈ 77,827

Answer: 77,827

Final answer:

The approximate attendance at the movie theater in nine years, with a continuous growth rate of 4.2%, is around 79,918.

Explanation:

The question provided can be solved using the formula for continuous growth, A = P ert, where A is the final amount, P is the initial principal amount (56,000 in this case), r is the rate of growth (4.2% or 0.042 when expressed as a decimal), and t is time in years (9 years here).

To find the approximate attendance at the movie theater in nine years, we substitute our values into the formula: A = 56000 x e(0.042 x 9). After calculating this, we find that the approximate attendance at the movie theater after nine years is about 79,918.

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The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward. Which statements are true? Check all that apply.

Answers

the answer is the first and the third one

Answer:

A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.

C. The ball reaches its maximum height about 4 seconds after it is thrown

Step-by-step explanation: • The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.

• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.

• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.

• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.

• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.

Explain how to multiply the complex #'s (3+2i)(4-i)

Answers

Multiply the numbers like you multiply binomials.
Multiply every term of the first binomial by every term of the second binomial.
Then combine like terms, and remember that i^2 = -1.

(3 + 2i)(4 - i) =

= 12 - 3i + 8i - 2i^2

= 12 + 5i + 2

= 14 + 5i

Factor 64-x^15 in mathhhhgg

Answers

Answer:

Factor of [tex]64-x^{15}[/tex] is [tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]

Step-by-step explanation:

We need to factor the expression [tex]64-x^{15}[/tex]

Re-write the given expression [tex]64-x^{15}[/tex] as;

[tex]4^{3}-(x^{5})^{3}[/tex]

Since, [tex]a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})[/tex]

so, here [tex]a = 4[/tex] and [tex]b = x^{5}[/tex]

[tex](4-x^{5})(4^{2}+4x^{5}+(x^{5})^{2})[/tex]

[tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]

Hence, factor of [tex]64-x^{15}[/tex] is

[tex](4-x^{5})(16+4x^{5}+x^{10})[/tex]

The value of factor of expression 64 - x¹⁵ is,

⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)

We have to given that;

To factor the expression,

⇒ 64 - x¹⁵

Now, We can simplify as;

⇒ 64 - x¹⁵

⇒ 4³ - (x⁵)³

⇒ (4 - x⁵) (4² + 4x⁵ + (x⁵)²)

⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)

Therefore, The value of factor of expression 64 - x¹⁵ is,

⇒ (4 - x⁵) (16 + 4x⁵ + x¹⁰)

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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.

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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A pizza is cut into eight slices the slices are all the same size Carolina ate 2 slices what fraction of the pizza did Carolina eat

Answers

if there is a total of 8 slices, and Carolina ate 2 of them, then she ate 2/8 which reduces to 1/4 of the pizza

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

FOR 10 POINTS WILL MARK BRAINLIEST It costs $175 to rent a jet ski for 2 hours. It costs $300 to rent a jet ski for 2 hours. It costs 300$ to rent a jet ski for 4 hours. Write an equation that represents the cost y (in dollars) of renting a jet ski for x hours

Answers

y=$175+x I think this is it? one half of 175 is 87.5 so you know.

Final answer:

The equation that represents the cost y (in dollars) of renting a jet ski for x hours is y = -87.50x + 525.

Explanation:

The equation that represents the cost y (in dollars) of renting a jet ski for x hours can be found by analyzing the given information. Let's break it down step by step:

We are given that it costs $175 to rent a jet ski for 2 hours. This means the cost per hour is $175 / 2 = $87.50.We are also given that it costs $300 to rent a jet ski for 4 hours. This means the cost per hour is $300 / 4 = $75.Based on these two data points, we can see that as the number of hours increases, the cost per hour decreases. Therefore, we can infer that the cost of renting a jet ski is a linear function of the number of hours.Now, let's use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
In this case, we can use the point (2, 175) and the slope -87.50 to write the equation:
y - 175 = -87.50(x - 2)Simplifying the equation:
y - 175 = -87.50x + 175
y = -87.50x + 350 + 175
y = -87.50x + 525

Therefore, the equation that represents the cost y (in dollars) of renting a jet ski for x hours is y = -87.50x + 525.

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

What is the median for this set of numbers?

10, 9, 23 , 68, 70, 4, 12, 4

Answers

First, change the order of the numbers do that they are from least to greatest.
4, 4, 9, 10, 12, 23, 68, 70
Then, find the "middle" number in this list.
This case, there are two middle numbers: 10 and 12.
Take the average, or mean, of these two.
Your answer is 11.

Line up the numbers least to greatest.

4, 4, 9, 10, 12, 23, 68, 70

Cancel them out and you are left with 10 and 12.

Add 10 and 12 then divide by 2.

The median is 11.
I hope this helps love! :)

Solve by quadratic formula

Answers

The quadratic formula is:

a = leading coefficient (highest power term)
b = term with just an x to the first power.
c = constant.

Plug in and solve! :)

What is the conclusion of the following conditional a number is divisible by two if the number is even

Answers

If a number is even, then it is divisible by 2.
HOPE THIS HELPED

If a number is even, then it is divisible by 2.

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]