What is the perimeter of a parallelogram if it has a base width of 3x+9 and it has a height length of 4x-5?

Answers

Answer 1

So basically the perimeter of a parallelogram is

2*length + 2*width

Or, in this case, once you substitute everything in,

2 * (3x + 9) + 2 * (4x - 5)

Use the distributive property, to distribute the 2s to everything inside the parenthesis.

2 * 3x + 2 * 9 + 2 * 4x + 2 * -5

6x + 18 + 8x - 10

Then just add everything

14x + 8 = perimeter

Related Questions

How do I figure this out?

Answers

1/10 is half of 1/5
1/5 × 1/2 = 1/10

3 pieces × 2 = 6 pieces that are 1/10

so, he is using 3 of the 1/5 strips to get a 3/5, 1/5 + 1/5 + 1/5 = 3/5

now, he wants to model the same fraction, but with a different fashion, with a denominator of 10, one-tenth, yet equivalent.

the cheap answer is, multiply top and bottom by 2.

[tex]\bf \cfrac{3}{5}\cdot \cfrac{2}{2}\implies \cfrac{3\cdot 2}{5\cdot 2}\implies \cfrac{6}{10}\qquad thus\\\\ -------------------------------\\\\ \cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}+\cfrac{1}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}[/tex]

Makayla's local movie theater has a moviegoer club that charges an annual registration fee of 25 dollars.However, movie tickets are discounted for members at 6 dollars per ticket, instead of 9 dollars per ticket.Let m equal the number of movie tickets Makayla purchases in a year. Write a function to model the amount of money Makayla spent going too the movies during the year she joined the club. C(m)=6x+25 The domain is best represented by: A)integers B)whole numbers C)rational numbers D)real numbers Algebra chestercat

Answers

domain is the value of x, in this case, the number of tickets. you cannot cut a whole ticket into fractions of pieces, it cannot be negative wither, so the number of tickets has to be a whole number.

The weight of 1000 identical samples of a substance is 10 pounds. What is the weight of 10 samples?

Answers

Help?? I need that question to but just that the weight instead of being 1000 is 2000

First find the weight of 1 sample. 10/1000= 0.01 so each sample weights .01 pound. So what is the weight of 10 samples. Well we multiply 10 * .01 = .1 pounds

Sarah polled 40 randomly selected students at her high school and found that 20% ( = 0.2) are happy with the quality of the cafeteria food. With a desired confidence level of 99%, which has a corresponding z*-score of 2.58, what is the approximate margin of error of Sarah’s poll? Remember, the margin of error, E, can be determined using the formula E = z*

Answers

Given:
n = 40, sample size
Confidence level = 99% => z* = 2.58
[tex]\hat{p} = 20\%=0.2[/tex], sample proportion.

By definition, the margin of error is
[tex]z^{*} \sqrt{ \frac{\hat{p}(1-\hat{p})}{n} } = 2.58 \sqrt{ \frac{(0.2)(0.8)}{40} }= 0.1632[/tex]

Answer:
According to Sarah's poll, she can conclude with 99% confidence level that 20% of the high school population is happy with the quality of the cafeteria food, with a margin of error of +/- 16.3%.

What is the probability that x is between $34 and $38?

Answers

The probability that ( x) is between $34 and $38 is 0.6826 or 68.26%.

To find the probability that a random variable ( x) is between $34 and $38, we need to use the probability density function (PDF) if ( x) follows a continuous distribution. Let's assume ( x ) follows a normal distribution with a mean [tex]($ \mu $)[/tex] of $36 and a standard deviation [tex]($ \sigma $)[/tex] of $2.

Calculate the z-scores for $34 and $38:

[tex]\[ z_1 = \frac{34 - 36}{2} = -1 \][/tex]

[tex]\[ z_2 = \frac{38 - 36}{2} = 1 \][/tex]

Look up the z-scores in the standard normal distribution table:

[tex]\[ P(z_1 < Z < z_2) = P(-1 < Z < 1) \][/tex]

Find the probabilities corresponding to these z-scores:

[tex]\[ P(Z < 1) = 0.8413 \][/tex]

[tex]\[ P(Z < -1) = 0.1587 \][/tex]

Subtract the two probabilities:

[tex]\[ P(-1 < Z < 1) = P(Z < 1) - P(Z < -1) = 0.8413 - 0.1587 = 0.6826 \][/tex]

So, the probability that ( x) is between $34 and $38 is 0.6826 or 68.26%.

Which of the following terms best describes the graph of the exponential function given below? F(x)=9*((1)/(7))^(x)

A. Linear
B.Decreasing
C.Increasing
D.Quadratic

Answers

The correct answer should be B, a decreasing function.

Answer:

B. Decreasing

Step-by-step explanation:

We have been given formula of a function [tex]F(x)=9\cdot (\frac{1}{7})^x[/tex]. We are supposed to determine the type of our given function.

We know that an exponential function is in form [tex]y=a\cdot b^x[/tex], where,

a = Initial value,

b = If [tex]b>1[/tex], then the function is growth function. If [tex]b<1[/tex], then the function is decay function.

Upon looking at our given function we can see it is in form of exponential function.

Upon comparing our given function with standard exponential function, we can see that the value of a is 9 and value of b is [tex]\frac{1}{7}[/tex].

Since [tex]\frac{1}{7}<1[/tex], therefore, our function is decreasing and option B is the correct choice.

A video editor takes 15 hours to add a

Answers

so the Level III editor does it in 15 hours, the Level II(slower) does it in 25 hours and the Level I(even slower), does it in 34 hours.

now, since the Level III one does it in 15 hours, in 1 hour alone, how much has it done? well, it only has done 1/15 of the whole work.

the Level II has 1 hour done only 1/25 of the whole work then, and the Level I has only done 1/34 of the whole work.

now, say they all do it in "t" hours, so how much have they edited in 1 hour altogether then? well, they have only done 1/t.

[tex]\bf \stackrel{\textit{Level III rate}}{\cfrac{1}{15}}+\stackrel{\textit{Level II rate}}{\cfrac{1}{25}}+\stackrel{\textit{Level I rate}}{\cfrac{1}{34}}~~=~~\stackrel{\textit{total work done}}{\cfrac{1}{t}} \\\\\\ \textit{doing a quick prime factoring, we end up with an LCD of }\underline{2550}~thus[/tex]

[tex]\bf \cfrac{1}{15}+\cfrac{1}{25}+\cfrac{1}{34}=\cfrac{1}{t}\implies \cfrac{170~+~102~+~75}{2550}=\cfrac{1}{t}\implies \cfrac{247}{2550}=\cfrac{1}{t} \\\\\\ 247t=2550\implies t=\cfrac{2550}{247}\implies t=10\frac{80}{247}\implies t\approx 10hrs,~19min[/tex]

What is the distance between 0.5 to -1.5

Answers

7.07 is the distance between the two points

the difference is one

What does it mean to say that lim n → ∞ an = ∞? the terms an become small as n becomes large. the terms an approach zero as n becomes large. the terms an become large as n becomes large. the terms an become small as n becomes small. the terms an become large as n becomes small?

Answers

The limit [tex]\lim_{n \to \infty} a_n = \infty[/tex] means that the term [tex]a_n[/tex] becomes large as n becomes large

The limit of a function describes the behavior of such function as the independent variable approaches a certain value

Infinity [tex]\infty[/tex] represents a very large number

In the limit, both n and [tex]a_n[/tex] tend to infinity

The given limit is:

[tex]\lim_{n \to \infty} a_n = \infty[/tex]

The limit above describes the behavior of [tex]a_n[/tex] as n approaches infinity

As n approaches infinity [tex]a_n[/tex] also approaches infinity

Therefore, the description of the limit [tex]\lim_{n \to \infty} a_n = \infty[/tex] is that the term [tex]a_n[/tex] becomes large as n becomes large

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Final answer:

The statement 'lim n → ∞ an = ∞' means that the terms an become large as n becomes large.

Explanation:

The statement lim n → ∞ an = ∞ means that the terms an become large as n becomes large.

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Write the rate as a unit rate
A Jockey had 1053 wins in 31 years of riding
The unit rate is win per year

Answers

33.967741935483870967741935483871 just divide the years into the wins and you will have wins per year. This answer has to be rounded but I like to give the entire answer as if you did this yourself
Hope this helps some

A family paid 23,100 as a down payment for a home if this represents 14% of the price of the home find the price of the home

Answers

The answer is $42966

What you put on social media matters. Why does it matter and how will you ensure your social media postings reflect you professionally?

Answers

It matters because what you post is a type of reflection on you and if it’s something bad or law worthy you could get into a lot of trouble.. just because you delete something doesn’t mean it’s gone, your future jobs check your social media and anything about you before they hire you.. you ensure what you post reflects you professionally by thinking about it before you post it and if it’s something you don’t want your parents or even police or if you start feeling uncomfortable or iffy about posting don’t post it and you should be fine.

Answer:

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

As a professional what you put on social media matters a lot. Social Media postings show all what you are thinking or doing to hundreds, thousands, or even millions of people. If you are an artist you depend on those people (fans) to continue supporting you and your art so a single wrong post can turn a lot of people against you.

If you work for a company you are not only representing yourself through your posts but the company as well. This is because a company hires you for the person that you are therefore it is seen through the public eye that they share your way of thinking.

The best way for your postings to reflect you professionally, is to post only things relating to your own career and journey. While leaving out any opinions, personal information, and controversial topics.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

on Monday 2/3 of the team practiced Tuesday 7/8 Wednesday 1/2 and Thursday 3/4 on which date were the most team members present at practice

Answers

On Wednesday because half of the team was there

Find common denominator to compare fractions. Use 24
Monday =2/3 (8/8)=16/24 16 out of 24 showed
Tuesday=7/8 (3/3)=21/24 21 out of 24 showed
Wednesday=1/2 (12/12)=12/24 12 out of 24 showed
Thursday =3/4 (6/6)=18/24 18 out 24 showed

On Tuesday, 21 out of 24 players showed up and that is the most team members showed up.

If rectangle ABCD is resized with a central point (−1, 1) and scale factor 3, what are the coordinates of D'?

A)(−3, 3)B)(−10, −5)C)(−5, −10)D)(−15, −15)

Answers

its B) (-10,-5). I had this test.

Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. if it is not, enter none. f(x, y) = (yex + sin y) i + (ex + x cos y) j

Answers

The given field is
[tex]f(x,y) = (y \ e^{x} + sin(y) \hat{i} + (e^{x}+x \, cosy) \hat{j}[/tex]

Note that if the field is of the form
[tex]\vec{f} = P\hat{i} + Q\hat{j}[/tex]
then the condition for the field to be conservative is that
[tex] \frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x} [/tex]

For the given field,
[tex] \frac{\partial P}{\partial y} =e^{x} + cos y \\ \frac{\partial Q}{\partial x} = e^{x}+cosy [/tex]

Because the condition is satisfied, the given field is conservative.
To find the function that satisfies
[tex]f= \bigtriangledown f[/tex]

[tex]f(x,y) = \int P(x,y)dx = ye^{x} + x\, siny + g(y)[/tex]
Because [tex] \frac{\partial P}{\partial y} = \frac{\partial Q}{\partial x} [/tex], therefore
[tex] \frac{\partial f}{\partial y} =e^{x} + x \, siny + g'(y)[/tex]
Because [tex] \frac{\partial f}{\partial y} =Q = e^{x} + x \, cosy [/tex]
therefore
g'(y) = 0
g = c (constant).

Answer:
(a) The given function is conservative.
(b) The function is
[tex]f(x,y) = ye^{x} + x \, siny + c[/tex]
where c = constant.

Final answer:

The vector field f(x, y) = (yex + sin y) i + (ex + x cos y) j is conservative because its curl vanishes everywhere. The function F such that ∇F = f is yex + cos y + C.

Explanation:

To determine if the given function f(x, y) = (yex + sin y) i + (ex + x cos y) j is a conservative vector field, we need to see if the curl of the vector field vanishes everywhere. The curl of a vector field in two dimensions is the partial derivative of the j component with respect to x minus the partial derivative of the i component with respect to y.

For f(x, y), the partial derivative of the j component (ex + x cos y) with respect to x is ex + cos y, and the partial derivative of the i component (yex + sin y) with respect to y is ex + cos y. Both derivatives are equal, implying the curl is zero. Hence, f(x, y) is a conservative vector field.

Next, to find a function F such that ∇F = f, we need to integrate. The potential function, F, can be obtained by integrating the i component of f with respect to x (since it does not involve y), and the j component of f with respect to y (since it does not involve x): ∫yex dx + ∫sin y dy = yex + cos y + C. This is the function F such that ∇F = f.

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2/3 x 5/8 in simplest form

Answers

2
3
x5
8
=
1
12
x5
is how its done

5/12 is the answer
hope it helped!

a consumer purchased a computer after a 15% price reduction. if x represents the computer's original price, the reduced price can be represented by

Answers

The answer represented by x X .15

Jane saved $ 800. Her sister has 10 times as much money. How much money does Jane's sister have? Use number or words to explain your answer.

Answers

10 times ad much money means to multiply. so 800 times 10 is 8,000

find the percent of each number 30% of 35

Answers

30% of 35 = 0.3 × 35 = 10.5 hippie this helps you.

Divide and give the answer in scientific notation.
8.4 x 10^7
----------------
3 x 10^3

Answers

Salutations!

[tex](8.4 * 10^7)/ (3*10^3)[/tex]

Divide 8.4 by 8

[tex]8.4/3=2.8[/tex]

Now, we have to work out the powers ---

The power have 2 positive signs, but in division we would always subtract.

[tex]10^7^-(^+^3) = 10^{4}[/tex]

Lets form it into standard form ---

[tex]2.8*10^{4}[/tex]

Hope I helped (:

Have a great day!

it should be 2.8 x 10^4 i took ze test

I REALLY NEED HELP WITH MY CALC CORRECTIONS. THIS IS THE THIRD TIME IVE POSTED THIS. I NEED HELP ASAP PLS!! I HATE CALC 1

Answers

1. As x approaches 1, f(x) approaches 3-1, that is 2.

If a = 2 and b = 3, f(1) = 2(1)^2 + 3(1) = 5

So there is a 'jump' in values of x at x = 1. So its not continuous at x=1.

2. For continuity at x = 1, ax^2 + bx must = 2 that is when a + b = 2.

3. for continuity at x = 2 , ax^2 + bx must be = 0 that is when a*2^2 + 2b = 0

- that is 4a + 2b = 0.

4. we have system of equations:-

a + b = 2
4a + 2b = 0

this gives a = -2 and b = 4 So f(x) is continuous when a = -2 and b = 4.

The perimeter of a college athletic field is 104 meters and the length is 16m more than the width find the length and width

Answers

Attached a solution and showed work.

The length and width of the rectangle will be 19 meters.

What is the perimeter of the rectangle?

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The perimeter of a college athletic field is 104 meters and the length is 16 meters more than the width.

L = 14 + W

Then the length and width of the rectangle will be

P = 2(L + W)

104 = 2(14 + W + W)

52 = 14 + 2W

2W = 38

W = 19 meters

The length and width of the rectangle will be 19 meters.

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A scientist placed 22.854 grams of sodium chloride in a beaker. He then added five times as much calcium chloride as sodium chloride. Finally, he divided the mixture evenly into four dishes.

How much of the mixture did each dish contain?

A .28.5675 g
B. 34.2810 g
C. 137.1240 g
D. 548.4960 g

Answers

The answer is B. 34.281
22.854 + 5(22.954) = 137.124
137.124 divided by 4 = 34.281 = 34.2810

rewrite y^2(9y^2+4y-9) in standard form

Answers

y²(9y² + 4y - 9)

Simplify.

(y² · 9y²) + (y² · 4y) + (y² · -9)

Simplify.

9y⁴ + 4y³ - 9y²

~Hope I helped!~

Let a and b be events in a sample space s such that p(a) = 0.41, p(b) = 0.46 and p(a ∩
b.= 0.14. find p(a | b).

Answers

B the answer to the problem

Final answer:

The conditional probability that event a will occur given that event b has occurred, denoted as p(a | b), is approximately 0.3 or 30%.

Explanation:

The question is asking for the conditional probability of the event a given that event b has occurred, written as p(a | b). In probability theory, the formula for conditional probability is p(a | b) = p(a ∩ b) / p(b). Here, we already know that p(a ∩ b) = 0.14 and p(b) = 0.46. Substituting these values into the formula gives us:

p(a | b) = 0.14 / 0.46 = 0.304347826.

So, the probability of event a occurring given that event b has occurred is approximately 0.3 or 30%.

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A father is three times as old as his son, and the sum of their age is 76 years old. How old is the son?

Answers

Father's age = 3x

Son's age = x

3x + x = 76

4x = 76

x = 76/4

x = 19

The son is 19 yeats old.

Age of son = 19 years

Age of father = 57 years

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

A father is three times as old as his son

Sum of their age is 76 years

Let age of son is x, age of father = 3x

x + 3x = 76

4x = 76

x = 76/4

x = 19

Age of son = 19 years

Age of father = 3×19 = 57 years

Hence, 19 years is the age of son and

57 years is the age of father.

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Prove or disprove that the product of two irrational numbers is irrational

Answers

Hi. The statement you gave is somewhat true, but not always. I disprove this and there are tons of websites that can help you with more in depth explanation. Have a good day.

The product of two irrational numbers can be either rational or irrational.

The product of two irrational numbers is not always irrational. To understand this, let's consider an example and a counterexample.

Example of an Irrational Product

Take the square root of 2 (\/(2)) and the square root of 3 (\/(3)). Both of these numbers are irrational. Their product is:

\/2 × \/3 = \/6

Since \/6 cannot be expressed as a fraction of two integers (making it irrational), this is an example where the product of two irrational numbers is irrational.

Counterexample of a Rational Product

Now, consider another example with \/(2) and \/(2). Since both are irrational, their product is:

\/2 × \/2 = 2

Here, 2 is a rational number because it can be written as a fraction (2/1). Therefore, this is a counterexample where the product of two irrational numbers is rational.

In summary, the product of two irrational numbers can be either rational or irrational depending on the specific numbers involved.

2+1.25f=10−2.75f solve for f

Answers

Hey there!

2 + 1.25f = 10 - 2.75f
Add 2.75f to both sides.

1.25f + 2.75f = 4f

4f + 2 = 10
Subtract 2 from both sides.

4f = 8
Divide both sides by 4 to solve for f.

f = 2

I hope this helps!

The value of f is 0.02.

What is an expression ?

Expression is a formation of numbers and variables with mathematical operations.

According to the given question we have to solve for f or we can say we have to find the value of f for the given expression which is

2+1.25f=10−2.75f (lets multiply each term by 100 to remove

decimals )

∴ 200 + 125f = 1000 - 275f

125f + 275f = 1000 - 200

400f = 800

f = 800/400

f = 2.

As we have multiplied by 100 we have to divide by 100 we obtain the exact result.

So, 2/100 is = 0.02

f = 0.02.

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Let f(x) = 3x+2 and g(x) = 7x+6. find f×x

Answers

Its basically telling you to multiply 3x+2 × 7x+6
21x^2+18x+14x+12
21x^2+32x+12

which of the following represents the factorization of trinomal below

Answers

A is the correct answer.......

Here is the work shown:

x^2-x-20

A is the correct answer because when using the distributive property it is the only example that results in x^2-x-20.

(x+4)(x-5)

x*x=x^2, x*-5=-5x, 4*x=4x, 4*-5=-20. Now combine all alike terms for your final answer. x^2-x-20..

please vote my answer brainliest. thanks!

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