If f(x)=√x^3 and (fog)(x)=√√x, then g(64) =​

The equation that represents this function is y = -3x + 8

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

X: 0,5,10,15

Y: 8,-7,-22,-37

A linear relation is represented as

y = mx + c

Where

c = y when x = 0

Using the above as a guide, we have the following:

c = 8

So, we have

y = mx + 8

Using the points on the table, we have

5m + 8 = -7

This gives

5m = -15

m = -3

So, the function is

y = -3x + 8

Hence, the function is y = -3x + 8

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Answer:

7

Step-by-step explanation:

x + 8 = 15

Subtracting 8 from both sides,

x = 15 - 8

=> x = 7

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer 20

Step-by-step explanation:

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

3x + 1/5y = 7

1/5y = 7 - 3x

y = 5 (7 - 3x)

y = 35 - 15x

Step-by-step explanation:

Answer:

y = -15x + 35.

Step-by-step explanation:

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

The percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The total number of water bottles the company manufactured in February, March, and April.

In February, the company manufactured 4,100 water bottles. In March, the company manufactured 7% more water bottles than in February, which is 7/100 * 4,100 = 287 water bottles.

Therefore, the total number of water bottles the company manufactured in March is 4,100 + 287 = 4,387 water bottles. In April, the company manufactured 500 more water bottles than in March, which is 4,387 + 500 = 4,887 water bottles.

This is calculated as (4,887 - 4,100) / 4,100 = 0.195 or 19.5%.

Therefore, the percent change in the number of water bottles the company manufactured from February to April is 19.5%, to the nearest percent.

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Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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The missing sides of the triangles in the figure are

13

x = y = 4.24

14

a = 4

b = 2

15

y = 3.46

x = 12

The sides is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

13.

x = y

cos 45 = y / 6

y = 6 cos 45

x = y = 4.24

14

cos 30 = 2√3 / a

a = 2√3 / cos 30

a = 4

tan 30 = b / 2√3

b = 2√3 * tan 30

b = 2

15

tan 60 = y / 6

y = 6 * tan 30

y = 3.46

cos 60 = 6 / x

x = 6 / cos 60

x = 12

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Let the amount Terrell made on Friday be represented with x .

325 - (55+55+75+75) = x

325 - 260 = x

or

x + 260 = 325 (option C is the correct answer)

The equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)

The point on the line is given as

Point = (4, -7)

The slope (m) of the line is given as

m = 2/5

The linear equation is then represented as

y - y1 = m(x - x1)

So, we have

y + 7= 2/5(x - 4)

Hence, the equation, in point-slope form, matches the graphed line  is y + 7= 2/5(x - 4)

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Answer:

i think its C, H, O but i could be wrong

Step-by-step explanation:

Answer: Carbon, Oxygen And Hydrogen

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3 white counters and 1 black counter,

3+1 = 4

the chances of you choosing the black counter is 1/4

1/4 can also be written as 0.25.

Answer:

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Step-by-step explanation:

Probability is the likeliness of occurrence of an event.

Given

There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements

n(S) = 4

Let B be the event that the drawn out counter is black. As there is only one black counter

n(B) = 1

The probability of choosing a black counter is:

\(P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25\)

Hence,

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Original length of the garden = 25ft

Area of rectangle is the region covered by the rectangle in a two-dimensional plane. A rectangle is a type of quadrilateral, a 2d shape that has four sides and four vertices. All the four angles of the rectangle are right angles or equal to 90 degrees. The opposite sides of the rectangle are equal and parallel to each other.

Given area of different section of garden:

60 ft2 of tomatoes,

96 ft² of zucchini,

112 ft² of lettuce,

222 ft² of corn, and

40 ft² of peppers.

Total area of garden now

(60+96+112+222+40) = 530 ft²

Since, Original area = 180 ft² less than new area

=530-180

=350 ft²

Area = length × width

Given,

width = length -11

thus, area = (length)×(length-11)

let the length be x

then 350 = x.(x-11)

350 = x²-11x-350

x²-11x-350 = 0

x²-25x+14x-350=0

x(x-25)+14(x-25)=0

(x+14)(x-25)=0

thus,

x = 25 ; x = -14

but the length cannot be negative,

length = x = 25 ft

Hence, the original length of the garden was 25 ft.

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Answer:

6x+6x2+3

Step-by-step explanation:

6x2+5x+1+x+2

Combine 5x and x to get 6x.

6x2+6x+1+2

Add 1 and 2 to get 3.

6x2+6x+3

Answer:

246.76$

Step-by-step explanation:

199 x .24 =

47.76

199 + 47.76 =

246.76

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

35

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

1)

Working with inequalities, when you draw them in a number line or a coordinate system. The Open circle, or "blank dot" indicates that the number itself is not included in the definition, while the closed circle or "blak dot" indicates the value is included.

For example:

The inequality marked in the number line can be expressed symbolically as:

So the first statement is True.

2)

When an inequality includes a variable (letter) this one can be writen in terms of said variable following almost the same rules as when you calculate the value of a variable in an equation.

The greatest exception is that when you divide by a negative number, the direction of the inequality changes.

So for the given inequality:

To determine one possible value of w you have to divide both sides of the expression by "-10" and when you do so, the direction of the inequality gets inverted from > to <

So this statement is False.

3)

This statement is True, when the variable is "alone" the coefficient is 1. Since multiplying a number by one results in said number it is redundant to write it, but altough "invisible" one is the coefficient of any variable that is "alone" in any given expression.

4)

"At most" indicates that it is the maximum value possible for the determined inequality. So the inequality can be equal or less than the determined value.

For example, "The cell phone repair will cost at most $100" → You know that you will pay no more than $100 dollars for the repair, it can be less but not more.

Let "x" symbolize the repair cost, you can express this as:

So this statement is True

5)

"Minimum" indicates that is the lowest value of the inequality, it is the startpoint, from the determined value onwards.

Answer:

x = 3 and x = -7

Step-by-step explanation:

Solving :

⇒ x² + 4x - 21 = 0

⇒ x² + 7x - 3x - 21 = 0

⇒ x(x + 7) - 3(x + 7) = 0

⇒ (x - 3)(x + 7) = 0

⇒ x = 3 and x = -7

Answer:

\(x=3,\:x=-7\)

Key:

• When doing a quadratic equation, one thing you must always know going into the equation is that you will have more than one answer.

Step-by-step explanation:

\(x^2+4x-21=0\\For\:\rightarrow\quad a=1,\:b=4,\:c=-21\\x_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \left(-21\right)}}{2\cdot \:1}\\\sqrt{4^2-4\cdot \:1\cdot \left(-21\right)}\\=\sqrt{4^2+4\cdot \:1\cdot \:21}\\=\sqrt{4^2+84}\\=\sqrt{16+84}\\=\sqrt{100}\\=\sqrt{10^2}\\=10\\x_{1,\:2}=\frac{-4\pm \:10}{2\cdot \:1}\\x_1=\frac{-4+10}{2\cdot \:1},\:x_2=\frac{-4-10}{2\cdot \:1}\)

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Optional: Solve for x₁ and x₂

(x₁)

\(\frac{-4+10}{2\cdot \:1}\\=\frac{6}{2\cdot \:1}\\=\frac{6}{2}\\=3\)

(x₂)

\(\frac{-4-10}{2\cdot \:1}\\=\frac{-14}{2\cdot \:1}\\=\frac{-14}{2}\\=-\frac{14}{2}\\=-7\)

Answer:

Step-by-step explanation:

Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer:

X=19

Step-by-step explanation:

7x-8=6x+11

x=19