Write each expression in simplest form.

4a²b / 12 a b³

what is the question your trying to find, if you could repile to this so I can try to figure it out. (I'll be heading off soon)

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

The given trinomial x^(2)+12x+35 is factorable. It's factors would be (x+7)(x+5).

To factor this trinomial, we need to find two numbers that multiply to 35 and add to 12. The two numbers that satisfy this condition are 7 and 5. Therefore, we can factor the trinomial as follows:

x^(2)+12x+35 = (x+7)(x+5)

So, the factored form of the given trinomial is (x+7)(x+5).

Therefore, the answer is (x+7)(x+5).

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Answer:

x= 45

y= 60

Step-by-step explanation:

For x:

The angles we have are 45 and 90

180°- 45 - 90 = 45

x= 45

For y:

The angles are 30 and 90

180°- 30 - 90 = 60

y= 60

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

c. 33.52

Step-by-step explanation:

after adding it all up then subtracting 13% u divide it by 4.

Answer:

C

Step-by-step explanation:

Answer:

the answer is (A)

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

f(0) = -8

That eliminates choices C. and D.

f(1) = -11

A.

Try x = 1.

y = -3(1) - 8

y = -3 - 8 = -11

Answer: A.

Answer:

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

Answer:

if there are 4 people and she pours 1/4 of a 1-liter coke bottle equally, it means that she gave each member 25% or 0.25 of a liter or bottle of coke

The scatter diagram for the data with college GPA as the independent variable is illustrated as follows.

In this case, we have a dataset that includes the GPA and salary of graduates ten years after graduation. We can use GPA as the independent variable (or x-axis) and salary as the dependent variable (or y-axis). We can then plot each data point on the graph, where the x-coordinate represents the GPA and the y-coordinate represents the salary.

To create the scatter plot, we first need to organize the data into pairs of GPA and salary values. For example, the first pair is (2.22, 72,000), where 2.22 is the GPA and 72,000 is the salary. We can then plot this point on the graph by locating 2.22 on the x-axis and 72,000 on the y-axis.

We repeat this process for each data point, and then connect the points with a line or a curve. The resulting scatter plot shows us the overall pattern of the relationship between GPA and salary. If there is a positive relationship between the two variables, we would expect to see the points cluster around a line that slopes upwards from left to right.

Overall, the scatter plot provides a useful visual tool for exploring the relationship between college GPA and salary. While it suggests that there is a positive relationship between the two variables, it also reminds us that there are many other factors that contribute to earnings.

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Complete Question:

Do students with higher college grade point averages (GPs) earn more than those graduates with lower GPAs?

Consider the following hypothetical college GPA and salary data (10 years after graduation). GPA Salary (S)

72,000 2.22

48,000 2.29

72,000 2.57

64,000 2.59

86,000 2.77

98,000 3.12

133,000 3.35

130,000 2.85

157,000 3.66

162,000 3.68

Develop a scatter diagram for these data with college GPA as the independent variable

\(the \: right \: answer \: is \: of \: option \: a \\ y = - 0.32 {x}^{2} - 1.26x + 15.81 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

Step-by-step explanation:

You want to know how much money Abby and Ben each have if when Abby gives $10 to Ben, then they will have the same mount of money. If Ben gives $20 to Abby, then she'll have four times as much as he has.

The transfers give rise to two equations:

  (A-10) = (B +10)

  (A +20) = 4(B -20)

Using the first equation, we can write an expression for A:

  A = B +20

This can be substituted into the second equation to give ...

  (B +20) +20 = 4(B -20)

  B +40 = 4B -80 . . . . simplify

  120 = 3B . . . . . . . . . . add 80-B

  40 = B . . . . . . . . . . . . divide by 3

  A = B +20 = 60 . . . . Abby's amount

Abby has $60; Ben has $40.

Answer:

$120,000

Step-by-step explanation:

Provided that  

The price of the new car is $750,000

And, the saving percent is 16%

We need to calculate out the saving amount for the deposit

Therefore, the saving amount is

= $750,000 × 16%

= $120,000

Basically we multiply these two things to each other in order to get the saving amount

The volume of the triangular prism is 60 cm³

A solid figure is a three dimensional shape that has length, width and height. Example of solid figures are cube, pyramid, prism, sphere and so on.

The volume of a triangular prism is given as:

Volume = area of base * height

The area of the prism base = (1/2) * base * height = 1/2 * 5 * 8 = 20 cm²

Volume = area of base * height = 20 cm² * 3 cm = 60 cm³

The volume is 60 cm³

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Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

Answer:

1, -1, 3, -3, 5, -5, 15, -15

Step-by-step explanation:

The factors of negative 15 are 1, 3, 5, 15, -1, -3, -5 and -15. The solution has been obtained by using the concept of factoring.

What is factoring?

The process of determining the factors is known as factoring. Factoring is the process of determining what to multiply to produce an expression. It is comparable to "breaking" a complex phrase into a number of smaller ones.

In mathematics, the term "factorization" or "factoring" refers to the splitting apart or "factoring" of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together yield the original number, matrix, etc.

The factors of negative 15 are all the integers which can be evenly divided into 15.

The positive factors are 1, 3, 5, 15

The negative factors are -1, -3, -5, -15

Hence, the factors of negative 15 are 1, 3, 5, 15, -1, -3, -5 and -15.

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Answer:

Step-by-step explanation:

You want optical density in terms of intensity of transmitted (Jt) and incident (Ji) light, written as a single term and as the difference of logarithms.

Optical transparency is the ratio of transmitted to incident light intensities:

  T = Jt/Ji

Opacity is the inverse of transparency:

  O = 1/T = Ji/Jt

Optical density is the common log of opacity:

  D = log(O)

  D = log(Ji/Jt)

As the difference of logarithms, this is ...

  D = log(Ji) -log(Jt)

__

Additional comment

The relevant rule of logarithms is ...

  log(a/b) = log(a) -log(b)

Answer:

where is the table to solve the problem??

Answer:

its 17.6

the second question is 82

third is 9

blank d is 12

Step-by-step explanation:

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

If completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours , then At least 75% of the completion times are between 2 hours and 4 hours , the correct answer is (a) .

The Chebyshev's inequality, for any data set and any value k greater than 1, at least 1 - 1/k² of the data values lie within k standard deviations of the mean.

In this case, we can use Chebyshev's inequality with k=2 ,

Using k=2, we have ,

⇒ At least 1 - 1/k² = 1 - 1/2² = 1 - 1/4 = 0.75 = 75% ,

So , at least 75% of the completion time lies between, (μ ± 2σ) ,

Substituting the values of mean (μ) = 3 and σ = 0.5 ,

We get ;

⇒ 3 ± 2×0.5

⇒  3 ± 1

⇒ (2,4)

So, At least 75% of the completion time are between 2 hours and 4 hours

Therefore, the correct answer is (a) At least 75% of the completion times are between 2 hours and 4 hours.

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The given question is incomplete , the complete question is

The completion times for a certain marathon race was 3 hours with a standard deviation of 0.5 hours.

What can you determine about these data by using Chebyshev's Inequality with k=2?

(a) At least 75% of the completion times are between 2 hours and 4 hours

(b) At least 88.9% of the completion times are between 2 hours and 4 hours

(c) At most 88.9% of the completion times are between 2 hours and 4 hours

(d) No more than 75% of the completion times are between 2 hours and 4 hours.

The bias displayed by investors who consider the $60 price a bargain relative to the recent $100 price is: b) Anchoring

Anchoring bias refers to the tendency to rely heavily on the first piece of information encountered (the anchor) when making decisions or judgments. In this case, the initial anchor is the high price of $100, and investors are using that as a reference point to evaluate the $60 price as a bargain. They are "anchored" to the previous high price and are influenced by it when assessing the current value.

Anchoring bias is a cognitive bias that affects decision-making processes by giving disproportionate weight to the initial information or reference point. Once an anchor is established, subsequent judgments or decisions are made by adjusting away from that anchor, rather than starting from scratch or considering other relevant factors independently.

In the given scenario, the initial anchor is the high price of $100 per share for Walmart. When the price falls to $60 per share, some investors consider it a bargain relative to the previous high price. They are influenced by the anchor of $100 and perceive the $60 price as a significant discount or opportunity to buy.

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∑ Hey,  shanellmccullough ⊃

Answer:

(a) Width of the garden : 64 m

(b) Length of the window: 95 cm

Step-by-step explanation:

Given:

(a) The perimeter of a rectangular garden is 306 m. If the length of the garden is 89 m, what is its width?

(b) The area of a rectangular window is 5130 cm². If the width of the window is 54 cm, what is its length?

Solve:

(a) The perimeter of a rectangular garden is 306 m. If the length of the garden is 89 m, what is its width?

Formula for perimeter: P = (L + W) × 2

Which;

P = Perimeter

L = Length

W = Width

Which also could be written as:

L + L + W + W = P

Hence, since it given that;

306 = P and L = 89

Then

We know that ;

89L + 89L + W + W = 306

So we can add 89 + 89 or 89 × 2

which is 178

Now we know that;

178 + 2w = 306

Solving for 2w:

178 + 2w = 306

178-178 + 2w = 306 - 178

2w = 128

W = 64

Hence, width is 64.

Check Answer:

64 × 2 + 89 × 2 =  306

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

(b) The area of a rectangular window is 5130 cm². If the width of the window is 54 cm, what is its length?

Formula for area: A = Lw

Which;

A = Area

L = Length

W = Width

So, since we know the width we can just do 5130/54 to find Length

5130/54 = 95

Hence, the length of the window is 95 cm.

Check Answer :

A = Lw

A = 95 × 54

A = 5130 cm²

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

xcookiex12

8/18/2022

Answer:

No solutions.

Step-by-step explanation:

-10 = 7

No solutions

The derivative of ln(x^2+1) at x=1 is 2/2 = 1.

To find the derivative of ln(x^2+1), we can use the chain rule. Let's denote the function as y = ln(u), where u = x^2+1. The chain rule states that if y = ln(u), then dy/dx = (1/u) * du/dx.

First, let's find du/dx. Since u = x^2+1, we can differentiate it with respect to x using the power rule, which states that d/dx (x^n) = n*x^(n-1). Applying the power rule, we get du/dx = 2x.

Now, we can substitute the values into the chain rule formula. dy/dx = (1/u) * du/dx = (1/(x^2+1)) * 2x.

To find the derivative at x=1, we substitute x=1 into the derivative expression. dy/dx = (1/(1^2+1)) * 2(1) = 1/2 * 2 = 1.

Therefore, the derivative of ln(x^2+1) at x=1 is 1.

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Answer:

3x+1=2x+5

Sometimes I might be wrong.

<3, Red

Answer:

4

Step-by-step explanation:

3x+1=2x+5

3x-2x=5-1

x=4

Answer: The correct answer is B.

Step-by-step explanation:

In a line with a slope of 0 the x can change but the y cannot in a (x, y).

Answer:

The smaller rectangle has perimeter

2(4 + 6) = 2(10) = 20, so the larger rectangle will have perimeter 30. The dimensions of the larger rectangle are 6 by 9 since 2(6 + 9) = 2(15) = 30.