Are these fractions equivalent or nonequivalent?
1 3
24 8
Click on the correct answer.
nonequivalent
equivalent

Answer:

The equation would be y = 3x - 7

Step-by-step explanation:

The equation of the trend line given the two coordinates is: y = -6x - 4

How to find the equation of a line?

The formula to find the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The formula to find the equation of a line between two coordinates is:

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

From the given two coordinates, we can say that:

(y - 8)/(x + 2) = (-10 - 8)/(1 + 2)

(y - 8)/(x + 2) = -6

y - 8 = -6x - 12

y = -6x - 4

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

Step-by-step explanation:

Add all sides together and set equal to 360

x+1 + x+2 + x+3 + x+4 =360

Combine Like Terms

4x + 10 = 360

get rid of the ten on both sides

4x = 350

Divide both sides by 4

x = 87.5

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10

Commitment to goals can be promoted in through:

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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Answer:

4 ( a+2)

Step-by-step explanation:

The average rate of change is

(f(a) - f(2))/(a-2)

f(a) = 4a^2 -8

f(2) = 4*2^2 -8 = 4*4 -8 = 16-8 = 8

(4a^2 - 8  - 8))/(a-2)

(4a^2 -16) / (a-2)

Factor the numerator

4( a^2 -4) / (a-2)

4( a-2)(a+2) / (a-2)

Cancel

4 ( a+2)

Answer:

yes

Step-by-step explanation:

Answer:

The area is 90 sq. cm

Step-by-step explanation:

Given

The variation can be represented as:

\(A\ \alpha\ l * w\)

Area = 60, when l = 4 and w = 3

Required

Find Area, when l = 6 and w = 3

Represent the variation as an equation

\(A = k(l * w)\)

Where k is the constant of variation.

Substitute 60 for A, 4 for l and 3 for w

\(60 = k * (4 * 3)\)

\(60 = k * 12\)

Make k the subject

\(\frac{60}{12} = k\)

\(5=k\)

\(k=5\)

To get the value of Area when l = 6 and w = 3.

Substitute 5 for k, 6 for l and 3 for w in \(A = k(l * w)\)

\(A = 5 * 6 * 3\)

\(A = 90\)

The area is 90 sq. cm

Answer:

Choice C.

Explanation:

To find the measure of B and C we have to remember that the triangle is isosceles. This means that the base angles of an isosceles triangle are congruent, indicating that the angles B and C must also be congruent.

Hence, choice C: Base angles of an isosceles triangle are congruent is the correct answer.

Answer:

5 inches

Step-by-step explanation:

The volume of a cube will be its length x width x height. In this case, the values will be equal.

Your equation is ∛125

= 5 inches

Option A is correct. The length of one side of the cube is 5 inches.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of cube is found as the cube of its side;

Volume of cube = side³

V=s³

125=s³

s=∛125

s=5 inches

Hence, the length of one side of the cube is 5 inches.

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Answer:

Step-by-step explanation:

Use a distributive property.

Isolate the term of y from one side of the equation.

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

⇒: 4(y+2)=32

First, divide by 4 from both sides.

\(\Longrightarrow:\sf{\dfrac{4(y+2)}{4}=\dfrac{32}{4} }\)

Solve.

⇒ 32/4=8

⇒ y+2=8

Subtract by 2 from both sides.

\(\Longrightarrow \sf{y+2-2=8-2}\)

Solve.

Subtract the numbers from left to right.

8-2=6

y=6

I hope this helps you! Let me know if my answer is wrong or not.

Answer: a.  iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.

Step-by-step explanation:

Here,   independent quantity = weight of a car  

dependent quantity = miles per gallon (gas mileage)

The coefficient of determination (R²) was reported to be 79.6%.

That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

For the study, the correlation coefficient R is -0.8921.

There is a fairly strong, negative relationship between car weight and miles per gallon.

Answer:

1.5x = 30 - 1.5

Step-by-step explanation:

30 grams minus the weight of the bag 1.5

1.5x x is the number of marbles and the bag so take 1 out and you have an answer which is 28.5 19 marbles

Answer:

\(6 \frac{2}{3} \pi \: {in}^{3} \)

Step-by-step explanation:

First, we have to find the area of the base:

\(a(base) = \pi \times {r}^{2} = \pi \times {2}^{2} = 4\pi\)

Now, we can find the volume of the cone:

\(v = \frac{1}{3} \times a(base) \times h = \frac{1}{3} \times 4\pi \times 5 = \frac{20\pi} {3} = 6 \frac{2}{3} \pi\)

Answer:

5

Step-by-step explanation:

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

Examples of transformations are given as follows:

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

Neither transformation is a dilation, hence it is a rigid motion.

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The area of the square is given by the  quadratic expression:

\(A = 9x^2 - 6xy + y^2\)

If we have a square whose side measures S, the area of said square is given by the equation:

\(A = S^2\)

In this case, we know that the side length of our square is given by:

\(S = 3x - y\)

Replacing that in the area equation we get:

\(A = (3x - y)^2\)

Now we just need to expand that product, we will get:

\(A = (3x - y)^2 = (3x)*(3x) + (3x)*(-y) + (-y)*(3x) + (-y)*(-y) \\\\A = 9x^2 - 6xy + y^2\)

Then we can see that the correct option is the last one.

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Answer:

  50.32 cm²

Step-by-step explanation:

The area of a triangle can be computed using the formula ...

  A = 1/2bh

For a triangle with base 3.7 cm and height 6.8 cm, the area is ...

  A = 1/2(3.7 cm)(6.8 cm) = 12.58 cm²

__

For four (4) triangles, Señora Cruz will need 4 times this area:

  4 × (12.58 cm²) = 50.32 cm²

Señora Cruz will need 50.32 cm² of paper to create her door decor.

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

Step-by-step explanation:

it a it the one  that makes the most sense

Answer:

40

Step-by-step explanation: pls I need points make brainpy

Answer:

Me puedes informar mas?

1.

Paul's present age = x

John's present age = 18

Paul's age 4 years ago = x - 4

John's age 4 years ago = 18 - 4 = 14

Also,

Paul's age four years ago was twice that of John's age four years ago.

Therefore,

Paul's age 4 years ago = 2(14)

= 28

Paul's age 4 years ago = x - 4 = 28

x - 4 = 28

x = 28 + 4

x = 32

Therefore, the present age of Paul is 32.

2.

Cost of one bottle of milk = $3.2

Cost of five bottles of milk = $3.2 × 5 = $15

Cost of four bottles of juice = $15 - $4.4

= $10.6

Cost of one bottle of juice = x

= Cost of four bottles of juice

4

= 10.6

4

= 2.56

Therefore, one bottle of juice costs $2.56.

3.

Savings spent on personal ornaments = 1/8

Savings spent on clothing = 5/6

Total savings spent = 1/8 + 5/6

= 3/24 + 20/24

= (3+20)/24

= 23/24

Savings left = 1/24 = $130

Total amount of savings = x

As 130 is one part of the total savings,

Total amount of savings =

x = 130 × 24

x = 3120

Therefore, original amount of savings is $3120.

We are given that the number of papers increases by a percentage of 3% annually. since we have a quantity that grows by a percentage we can use the following exponential function:

Where "r" is the rate of growth, "a" is the initial amount, and "t" is time. Replacing the values:

Simplifying:

Now we replace t = 8:

Solving the operations:

Therefore, 14707 papers will be published.

Answer:

4000

Step-by-step explanation:

1500/3 equals 500.  500 times 8 equals 4000.

Answer:

4000

Step-by-step explanation:

1500 divided by 3 = 500

500 times 8 = 4000

Answer: 6

2 possibilities for each student if they are first and 3 students so 3*2=6.