Find the inverse of f(x)

Answer:

b. -1/3

Step-by-step explanation:

a/4=2/3

a=8/3

(a-4)/4

(8-12)/12

=-4/12

=-1/3

Answer:

-1/3

Step-by-step explanation:

a/4=2/3

Multiply each side by 4

a/4 *4=2/3 *4

a = 8/3

(a-4)/4

(8/3 - 4) /4

Getting a common denominator

(8/4 - 12/3) /4

(-4/3)/4

-1/3

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

An equation is an expression that shows the relationship between two or more numbers and variables.

The chocolate cookies is given as:

Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22

The lemon cookies is given as:

Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

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Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

Answer:

5676.16 cm³

Step-by-step explanation:

Answer:

--273

Step-by-step explanation:

100th term is equal a1 + 99d so

100th term = 222 + (-5×99) = -273

Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

Answer: A ( The height of the water increases 2 inches per minute)

Answer the question : I don't get what the question is suppose to be

Step-by-step explanation:

Answer:

your answer is D. 24 cubic cm

Step-by-step explanation:

your welcome good day :)

Answer:

your answer is option B

Answer:

Your answer came out to be B.

Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:

f = 17/40 = 0.425

Which is rounded to 0.43.

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Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Answer:

[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

Given:

Consider the expression is:

[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]

To find:

The like terms that can be combined in this expression.

Solution:

Two terms are called like terms, if they have same variables of same degree.

We have,

[tex]13-\dfrac{x}{5}+6.2y+20.5x-\dfrac{3}{8}y[/tex]

In the given expression, the pairs of likes terms are:

Pair 1: [tex]-\dfrac{x}{5}[/tex] and [tex]20.5x[/tex]

Pair 2: [tex]6.2y[/tex] and [tex]-\dfrac{3}{8}y[/tex]

It means [tex]-\dfrac{x}{5}[/tex] can be combined with [tex]20.5x[/tex] and  [tex]6.2y[/tex] can be combined with [tex]-\dfrac{3}{8}y[/tex].

Therefore, the correct option is C.

Answer:

clover

Step-by-step explanation:

because

The measure of angle ∠x = 28°.

We have a geometrical figure [Refer to the image attached in the end].

We have to prove that x = 28°.

The measure of straight angle is 180°.

According to the question -

Line DLG is a Straight line. Therefore -

2∠x + 124° = 180°

2∠x = 56°

∠x = 28°

Hence Proved.

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9514 1404 393

Answer:

  1.2 t/m³

Step-by-step explanation:

1 tonne is 1 Mg = 10⁶ g

1 m³ is (100 cm)³ = 10⁶ cm³

The conversion is ...

  (1.2 g/cm³) · (1 t)/(10⁶ g) · (10⁶ cm³)/(1 m³)

  = 1.2(10⁶)/(10⁶) t/m³

  = 1.2 t/m³

__

For this conversion, the numerical value does not change. Megagrams per cubic meter is the same ratio as grams per cubic centimeter.

Answer:

You can do it with your eyes closed

Step-by-step explanation:

Answer:

Step-by-step explanation:

(1,2) and (2,1) are not equal ordered pairs becasue their corresponding elements are not equal.

Two Ordered Pairs are said to be equal if the corresponding first components are equal alongside the corresponding second components are equal.

for example:

(3,1) and (3,1)

here corresponding element of 3 is 3 and of 1 is 1 .so they are called equal ordered pairs.

Answer:

$2,000 at 9%

$8,000 at 4%

Step-by-step explanation:

(4x * .04) + (x * .09) = 500

.16x + .09x

.25x = 500

x = $2,000 at 9%

4x = $8,000 at 4%

Answer:

2000 at 9%

8000 at 4%

Step-by-step explanation:

Let the principle at 9% = x

The principle at 4% = 4*x

Together they give 500 dollars.

9% = .09

4% = ,04

Both are invested for 1 year

0.09 * 1 * x + 0.04 * 1 * 4x = 500

0.09x + 0.16x = 500

0.25x = 500

x = 500 / 0.25

x = 2000

She invested 2000 at 9%

She invested 4 * 2000 at 4%

Answer:

by increasing the size ez

Answer:

B)   x = 7,   y = 4√2

Step-by-step explanation:

Drop a line from the upper left vertex

This creates a rectangle with a bottom side of 3

and an isosceles right triangle with legs of 4

Therefor

x = 4 + 3

x = 7

y = √(4² + 4²)

y = 4√2

The values of x and y from figure are 7 and 4√2 respectively, option B is correct.

When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.

We have to find the values of x and y.

Sine function is a ratio of opposite side and hypotenuse.

sin45=4/y

1/√2 = 4/y

Apply cross multiplication:

y=4√2.

Now let us find the value of x by cosine function.

Cosine is a ratio of adjacent side and hypotenuse.

cos 45 =x/y

1/√2 = x/4√2

Apply cross multiplication:

x=4

Now from diagram x=4+3 =7

Hence, the values of x and y from figure are 7 and 4√2 respectively.

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Answer:

BCD

Step-by-step explanation:

You can easily find out by the points at the end of line. These points indicate that this is line segment.

Given:

Diameter of ball = 8 cm

To find:

The volume of the ball.

Solution:

We know that the radius of sphere is half of is diameter.

It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

The radius of the ball is 4 cm.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere.

Putting [tex]\pi = 3.14, r=4[/tex] in the above formula, we get

[tex]V=\dfrac{4}{3}(3.14)(4)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(64)[/tex]

[tex]V=267.946667[/tex]

[tex]V\approx 267.95[/tex]

Therefore, the volume of the ball is about 267.95.

Answer:

33.3% I think lpl

Step-by-step explanation: