Each graph below was obtained by transformation(s) of the graph of the cubic function. Write the equation for the function each graph represents.
Correct answer gets brainliest !

Answer:

120/30*29*28*27

Step-by-step explanation:

The rule of dilation is a dilation by a scale factor of 2

From the question, we have the following parameters that can be used in our computation:

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (2, 2)/(1, 1)

Evaluate

Scale factor  = 2

Hence, the rule of dilation is (2x, 2y)

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Statement there are 2.5 customers who bought spearmint as customer than peppermint is not supported by the display of the graph. So, the correct answer is D).

According to the bar graph, there are 50 customers who bought spearmint and 20 customers who bought peppermint.

Therefore, the difference between the number of customers who bought spearmint and those who bought peppermint is

50 - 20 = 30

This means that there are 30 more customers who bought spearmint than peppermint, not 2.5. So, the correct option is D).

Statements a, b, and c are supported by the display of the graph.

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--The given question is incomplete, the complete question is given

"  The bar graph shows the flavors of gum bought yesterday by the customers at a store. Each customer bought only 1 flavor of gum.

Which statemnt is not supported by display of graph"--

a The same number of customer bought papermint and cinmaon.

b Thera ARE 120customer who bought gum

c The most favoured flavor is papermint

d there are 2.5 customers who bought spearmint as customer than peppermint

The two sets of possible dimensions for the rectangular plot of land are:

11 m x 22 m

8 m x 28 m

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be A

Now , the length of the rectangle be L

Let the width of the rectangle be W

Let's assume that the length of the rectangular plot of land is L meters and the width is W meters. Since Jamal has only 44 meters of fencing available, the perimeter of the enclosure will be 44 meters:

Perimeter = 2L + W = 44

W = 44 - 2L

The area of the rectangular plot of land is given as 192 square meters

Area = L x W = L x (44 - 2L) = 192

2L² - 44L + 192 = 0

Solving for L using the quadratic formula, we get:

L = (44 ± √(44² - 4 x 2 x 192)) / (2 x 2)

L = (44 ± √(1600)) / 4

L = (44 ± 40) / 4

So, the possible values of L are 11 and 8

If L = 11, then W = 44 - 2L = 22, and the dimensions of the rectangular plot of land are 11 m x 22 m

If L = 8, then W = 44 - 2L = 28, and the dimensions of the rectangular plot of land are 8 m x 28 m

Hence , the two sets of possible dimensions for the rectangular plot of land are 11 m x 22 m and 8 m x 28 m

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Using the future value,

Steven's grandmother needed to deposit $55,469.56 into the trust account.

We have,

We can use the formula for the future value of a present sum:

FV = PV(1 + r)^n

where FV is the future value, PV is the present value, r is the annual interest rate, and n is the number of years.

In this case, we have:

FV = $100,000

PV = unknown

r = 4% = 0.04

n = 15 years (18 - 3 = 15)

Substituting these values into the formula, we get:

$100,000 = PV(1 + 0.04)^15

Solving for PV, we get:

PV = $55,469.56

Thus,

Steven's grandmother needed to deposit $55,469.56 into the trust account.

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The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.

We have,

The Pythagorean Theorem in a right-angled triangle,

a² + b² = c²

To find three consecutive even integers that satisfy this theorem, we can start by assuming that one of the even integers is x.

Then, the next two consecutive even integers would be x+2 and x+4.

We can then use the Pythagorean Theorem to set up an equation and solve for x:

x² + (x+2)² = (x+4)²

Expanding and simplifying:

x² + x² + 4x + 4 = x² + 8x + 16

Simplifying further:

x² - 4x - 12 = 0

Now we can use the quadratic formula to solve for x:

x = [4 ± √(4² - 4(1)(-12))] / (2 x 1)

x = [4 ± √64] / 2

x = [4 ± 8] / 2

x = 6 or x = -2

Since we are looking for three consecutive even integers, we can discard the negative solution and choose x = 6.

This gives us the three consecutive even integers: 6, 8, and 10, which satisfy the Pythagorean Theorem:

6² + 8 = 10²

36 + 64 = 100

100 = 100

Thus,

The three consecutive even integers are 6, 8, and 10, which satisfy the Pythagorean Theorem.

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The complete question.

Find three consecutive even integers that satisfy the Pythagorean Theorem.

The exact value for the trigonometric function of numbers is derived to be √3/2.

Trigonometric identities are equations that involve the trigonometric functions (such as sine, cosine, tangent, cosecant, secant and cotangent) and are true for all possible values of the variables involved. These identities can be used to simplify trigonometric expressions, solve equations, and prove other mathematical statements.

Then sum and difference identities states that:

sin(A ± B) = sinAcosB ± cosAsinB

cos(A ± B) = cosAcosB ∓ sinAsinB

so;

sin(11°) cos(49°) + cos(11°) sin(49°) = sin(11 + 49)

sin(11°) cos(49°) + cos(11°) sin(49°) = sin(60°)

sin(11°) cos(49°) + cos(11°) sin(49°) = √3/2.

Therefore, the exact value for the trigonometric function of numbers is derived to be √3/2.

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well the first cylinder is small the other is big and if this dosent help i'm so very sorry

Step-by-step explanation:

The smallest number among the given options is (a) -1. This is because -1 is a negative number and is less than zero, while the other options are either positive or greater than zero. (b) -1/2 is greater than -1, (c) 0 is neither positive nor negative, and (d) 3 is greater than both -1 and -1/2. Therefore, the correct answer is (a) -1.

Answer:

A is correct

Step-by-step explanation:

its correct be cause negative is less than 0

its like being in dept

Answer:

416.16

Step-by-step explanation:

First, solve the parenthetical expression (23-12) which equals 11. Next, use the order of operations to perform the multiplication and division from left to right: 48 ÷ 11 = 4.36 and 4.36 x 81 = 353.16. Finally, add this result to 63 to get the final answer: 63 + 353.16 = 416.16. Therefore, the solution is 416.16.

Answer:

119

Step-by-step explanation:

Firstly, we need to solve the expression inside the parentheses, which is 23-11. This gives us 12. Then we need to carry out the division to get 48 divided by 12, which is 4. We can then multiply 4 by 14 to get 56. Finally, we add 56 to 63 which gives us the answer of 119. Therefore, the solution to the expression 63+48÷(23-11)×14 is 119.

Answer:

If I am not mistaken, the answer is:

x1: 4.436

x2: 0.564

Step-by-step explanation:

Answer is

5 + √15    or 4.43649 decimal

  2

and

5 - √15  or .56350 decimal

  2

Step by step

Given 2x^2 -10x +5 = 0

Quadratic formula

-b +- √ b^2 - 4 a c

2a

- -10 +- √ -10^2 (-4)(2)(5)

2(2)

Simplify

10 +- √ 100 - 40

2(2)

10+- √ 60

2(2)

Factor out √60 = 2^2 * 3 * 5

Rewrite after moving 2 outside √

10 +- 2 √15

2(2)

Divide out one of the “2’s” with terms outside the √

5 +- √15

2

Solve

5 + √15

2

5 - √15

2

The total cost of the meal is $65.50, with tip included.

Here, in this question we need to find the percentage Value, to find the total cost of the meal plus the tip, Carter needs to multiply the cost of the meal by a factor of 1 + the tip percentage, which is 1 + 31% = 1.31.

So, the number Carter should multiply the cost of the meal by to find the total plus tip in one step is 1.31.

For example, if the cost of the meal was $50, then the total cost including the tip would be addition of cost of meal and tip.

Total cost = Cost of meal + Tip

Total cost = $50 + 31% of $50

Total cost = $50 + $15.50

Total cost = $65.50

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The stem and leaf plot that correctly represents the data sets is

Stem    Leaf

0      |  0, 3        

1       |  7, 7, 7, 1, 7,

2      |  8, 8, 2, 4, 0. 0

3      |   3, 1,

Option B is the correct answer.

We have,

The following data set shows the values collected by the manager.

{17, 0, 28, 17, 17, 20, 28, 11, 17, 22, 24, 33, 20, 31, 20, 3}

Now,

We make the stem and leaf plot as:

Stem    Leaf

0      |  0, 3        

1       |  7, 7, 7, 1, 7,

2      |  8, 8, 2, 4, 0. 0

3      |   3, 1,

Here,

3 can be written as 03 and 0 can be written as 00.

Thus,

The stem and leaf plot that correctly represents the data sets is

Stem    Leaf

0      |  0, 3        

1       |  7, 7, 7, 1, 7,

2      |  8, 8, 2, 4, 0. 0

3      |   3, 1,

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The Area of Triangle is 10 square unit.

We have,

base = 4 unit

Height = 5 unit

So, Area of Triangle

= 1/2 x base x height

= 1/2 x 4 x 5

= 2 x 5

= 10 square unit

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Answer:

The answer is **FD = 1.52**.

Since triangle ABC ~ triangle DEF, we know that the ratio of their corresponding sides is equal. So, we have:

```

AB/DE = AC/DF = BC/EF

```

We are given that AB = 11, DE = 2.2, and AC = 7.6. Substituting these values into the first equation, we get:

```

11/2.2 = 7.6/DF

```

Cross multiplying, we get:

```

11 * DF = 2.2 * 7.6

```

```

DF = (2.2 * 7.6) / 11

```

```

DF = 1.52

```

Step-by-step explanation:

The distribution that is positively skewed is Option C.

A positive skew is a statistical pattern, in which the majority of the data points are concentrated at one end within the range and wherein the tail is longer on the right side of the graph.

This phenomenon is also identified as a "right-skewed distribution," oppositely to its counterpart: the negative skew or "left-skewed distribution."

In conclusion, the distribution that is positively skewed is the third distribution or Option C.

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The solution of the equation 1/(x-3) + 1/(x+5) = 1/3 is x=-3, x=7, option D is correct

The given equation is 1/(x-3) + 1/(x+5) = 1/3

Take LCM on left hand side

(x+5)+(x-3)/(x-3)(x+5)= 1/3

2x+2/(x-3)(x+5) = 1/3

2(x+1)/(x-3)(x+5) = 1/3

6(x+1)=(x-3)(x+5)

6x+6 = x²+5x-3x-15

6x+6 = x²+2x-15

x²+2x-6x-15-6=0

x²-4x-21=0

x² -7x+3x-21=0

x(x-7)+3(x-7)

(x+3)(x-7)

The solutions are x=-3, x=7

Hence, the solution of the equation 1/(x-3) + 1/(x+5) = 1/3 is x=-3, x=7, option D is correct

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Answer:

When two parallel lines are intersected by a transversal, the alternate interior angles are the pairs of non-adjacent angles that are located between the two parallel lines and on opposite sides of the transversal. These angles are congruent, which means they have the same measure. The other type of angles mentioned in the statement, which are supplementary, are the pairs of adjacent angles that are located on the same side of the transversal and outside the parallel lines. These angles add up to 180 degrees.

The correct choice is "consecutive interior angles are supplementary."

Answer:

Step-by-step explanation:

You want functions for the velocity v(t) and height h(t) of a ball thrown upward at 38 m/s from a height of 1.8 m. The acceleration is -9.8 m/s².

This sort of problem is usually discussed in a physics course. The relation between acceleration, velocity, and position is ...

  velocity is the rate of change of position

  acceleration is the rate of change of velocity

Then the inverse relations are ...

  h(t) = ∫v(t)dt +h(0)

  v(t) = ∫a(t)dt +v(0)

When position is measured in one dimension (up = positive), these have the standard formulas:

  v(t) = g·t + v(0)

  h(t) = 1/2g·t² +v(0)·t +h(0)

Filling in the given values (g = -9.8, v(0) = 38, h(0) = 1.8), we have ...

  v(t) = -9.8t +38 . . . . . . . . . . . . meters per second

  h(t) = -4.9t² +38t +1.8 . . . . . . meters

The length of the third side is given as follows:

x = 3√3.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

The parameters for this problem are given as follows:

Hence the third side is given as follows:

x² + 3² = 6²

x² + 9 = 36

x² = 27

x = √3³

x = 3√3.

The triangle is given by the image presented at the end of the answer.

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The type of transformation shown is vertical translation. That is option D.

Transformation of geometrical figures or points is the manipulation of a given figure to take the same shape but with different direction of its original angles.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given a polygon ABDC.

It is transformed to another polygon with the same size A'B'D'C'.

Here the polygon ABDC is just moved downwards as it is and mark is as A'B'D'C'.

In rotation or reflection transformation, the points will change it's correspondent place.

Translation is a type of transformation where the original figure is shifted from a place to another place without affecting it's size.

Since the shifting is done vertically, it is vertical translation.

Hence the transformation is vertical translation.

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Answer:

Step-by-step explanation:

45

A graph is a visual representation or diagram that shows facts or values in an ordered way. The only graph that satisfies the above shape is the third one.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between multiple items are frequently represented by the points on a graph. The term "pictograph" refers to the visual depiction of information. Each graphic represents a specified number of objects. The only graph that satisfies the above shape is the third one.

Therefore, the correct option is option C.

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Your question is incomplete but most probably your full question was,    

Answer:

  B.  28%

Step-by-step explanation:

You want to know the percent of the mixture that is fruit juice, if the mixture is 6 L of 52% juice and 9 L of 12% juice.

The total amount of juice in the 6+9 = 15 L of mix is ...

  0.52·(6 L) +0.12(9 L) = 3.12 L +1.08 L = 4.2 L

Then the fraction of the mix that is fruit juice is ...

  (4.2 L)/(15 L) = 0.28 = 28%

The percent of the mixture that is fruit juice is 28%, choice B.

__

Additional comment

Effectively, the fraction is the weighted average of the fractions of the constituents. The weights are the number of liters of each constituent.

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The area of the rectangle is 81 square units. (option a)

To find the area of a rectangle, we need to know its length and width. We can determine these values by looking at the difference between the x-coordinates and the y-coordinates of the vertices.

In this case, we have the following coordinates: (-4,5), (5,5), (-4,-4), and (5,-4).

The length of the rectangle is the difference between the x-coordinates of the left and right vertices:

=> 5 - (-4) = 9.

The width is the difference between the y-coordinates of the top and bottom vertices:

=> 5 - (-4) = 9.

To find the area of the rectangle, we multiply its length by its width:

=> 9 x 9 = 81.

So, the correct answer is the (a), 81 square units.

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Carrying value on June 30, 2024  is $176 million, total  Interest revenue  is $12.44 million

To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.

The carrying value is the purchase price plus the accrued interest, which is calculated as follows:

Accrued interest = Face value x Coupon rate x Time

where Time = 6/12 = 0.5 (since interest is paid semiannually)

Accrued interest = $200 million x 6% x 0.5 = $6 million

Carrying value on June 30, 2024 = Purchase price + Accrued interest

= $170 million + $6 million

= $176 million

The interest revenue for the first six months is calculated as follows:

Interest revenue = Carrying value x Market rate x Time

= $176 million x 8% x 0.5

= $7.04 million

For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.

The interest revenue for the second six months is calculated as follows:

Interest revenue = Carrying value x Coupon rate x Time

= $180 million x 6% x 0.5

= $5.4 million

Total interest revenue = Interest revenue for first six months + Interest revenue for second six months

= $7.04 million + $5.4 million

= $12.44 million

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