Rewrite expression (4^-2)^3 using positive exponents

Answer:

-8x + (3x - 12)

Step-by-step explanation:

f(x) · g(x)

(-x + 3) · (x - 4)

(-2x · 4x) + (3x - 12)

-8x + (3x - 12)

Pls mark brainliest

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

This is the vertices after  the 270° counterclockwise rotation.

Given vertices,

W(-6,-2), X(-2,-2), Y(-2,-6), and Z(-5, -6).

Here we have to rotate 270°.

We know that,

Rotating a point 90° counterclockwise: (x, y) → (-y, x).

Rotating  a point 180° counterclockwise: (x, y) → (-x, -y).

Rotating a point 270° counterclockwise: (x, y) → (y, -x).

So here we are rotating the figure 270°,

W(-6,-2)→ W'(-2 , 6)

X(-2,-2)→ X'(-2 , 2)

Y(-2,-6)→ Y'(-6 , 2)

Z(-5, -6)→ Z'(-6 , 5)

The vertices after rotating 270° counterclockwise about origin is:

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

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Answer:

12 more days

Step-by-step explanation:

Every time cheeseburger will be served: 4th day, 8th day, 12th day, 16th day

Every time pizza wil be served: 6th day, 12th day, 18th day

Since 12 is a common number, every 12 days both cheeseburgers and pizzas will be served

Domain and Range of a Function

The domain of a function f is the set of values of the input (or independent) variable, often called x. The range is the set of values of the output (or dependent) variable, often called y, or f(x).

The function shown in the image has a shape that opens up to infinity (marked with the two arrows). This means that x can have any real value from minus infinity to plus infinity, that is, all real numbers.

Now for the range, we can see not every value of y belongs to the function. The graph decreases down to the vertex of the parabola that is located at (3,-12). This means that from y=-12 and up, the function exists, but not below this value.

Summarizing:

Domain: All real numbers

Range: y ≥ -12

Answer:

0.5

Step-by-step explanation:

0.5 x 0.5 = 0.25

Answer:

x=0.5

Step-by-step explanation:

x=±√0.25

x=±0.5

x=0.5,−0.5

Step-by-step explanation:

Solution:

From the graph, the coordinates of the points A, B and C are (- 1, 0) (0, - 2) and (2, 0) respectively.

Let the equation representing the graph be y = a * x ^ 2 + bx + c

(1)

The curve represented by (i) passes through A(- 1, 0) B(0, - 2) and C(0, 2) So,

- 2 = 0 + 0 + c

c = - 2

Also 0 = a - b - 2

and 0 = a * (0.4 + 2b - 2)

⇒a a - b = 2 2a + b = 1 (ii) ..(iii)

Adding (ii) and (iii)

3a = 3

a = 1

Substituting the value of a in (ii), we have

1 - b = 2

b = - 1

The equation of the curve is y = a * x ^ 2 + bx + c i.e. y = x ^ 2 - x - 2

The area of the region consisting of all the points Charlyn can see during her walk is equal to, A = 4840 km.

Charlyn is walking around the boundary of square A, which is 55 km long, and she has a horizontal vision of 11 km.

So as she walks around the square of 55 km, let there be another square B which lies outside square A, which is created due to her 11 km field of vision.

length of sides of square B = 55+(2×11) which is equal to 77 km.

And as she walks around the square of 55 km, let there be yet another square C which lies inside square A, which is created due to her 11 km field of vision.

length of sides of square C = 55-(2×11) which is equal to 33 km.

The area that Charlyn can see throughout her walk is equal to,

A = Area of square B - Area of square C.

The area of square B = Side² = 77² = 5929.

The area of square C = Side² = 33² = 1089.

A = 5929 - 1089.

A = 4840 km.

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The expression that represents the Adi's height in inches is n - 5.

Expression:

An expression is the mathematical statement which consists of numbers, variables and an arithmetic operation like addition, subtraction and division etc. between them.

Given,

Adi is 5 inches short than Sunee. Sunee is n inches tall.

Here we need to find the expression for Adi's height in inches.

Through the given question we know that,

Sunee is n inches tall.

And Adi is 5 inches lesser than Sunee.

Here we have the word short or less, that represents that we have to reduce that amount from the total.

Therefore, the expression for Adi's height in inches is,

=> n - 5.

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Answer:

279=157+398m

Step-by-step explanation:

hope its right?

The probability that exactly 7 individuals are dropouts out of 35 is 0.0033288.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Given,

Probability of dropouts=p= 6%= 0.06

Probability of not dropouts=q=1-p=1-0.06=0.94

n=35

We use the probability mass function of binomial distribution, as there are only two possible outcomes for the given situation. If the individual is dropout or not a dropout.

P(X=x)= nCr x p^r x q^(n-r)

P(X=7)= 35C7x(0.06)^7x(0.94)^28

P(X=7)=6724520x(0.06)^7x(0.94)^28

P(X=7)=0.00332889

Therefore, the probability of exactly 7 of them are dropouts is 0.00332889.

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Answer:

50cm is equivalent to 500km

Have a good one!

Answer:

y = -28

Step-by-step explanation:

21 = -3/4y

so:

-3/4y = 21

divide both sides by -3/4:

(-3/4y)/(-3/4) = 21/(-3/4)

y = -28

Answer:

x = 7

Step-by-step explanation:

We have the following:

The first thing is to calculate the equation by means of the graph.

For Andrew, we can see that he starts at $ 3 and every hour that passes, he charges $ 2, therefore the equation is:

where x is the number of hours.

For Dave, we can see that he starts at $ 6 and every hour that passes, he charges $ 1.5, therefore the equation is:

where x is the number of hours.

to calculate the number of hours when the value is equal, we must match the equations like this

Which means that at 6 hours they have the same price

Answer:

140

Step-by-step explanation:

Answer:

44

:)

Step-by-step explanation:

Answer:36

Step-by-step explanation:

f(x)=12-3*(-8)

=36

The final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

Given that, AUV is at an elevation of -8.25 ft. It dives down [tex]6\frac{2}{3}[/tex] ft to collect a specimen. Then the AUV dives another [tex]15\frac{3}{4}[/tex] ft.

The angle of elevation in math is "the angle formed between the horizontal line and the line of sight when an observer looks upwards is known as an angle of elevation".

Here, the mixed fraction can be written in improper fraction

[tex]6\frac{2}{3} = \frac{20}{3}[/tex] and [tex]15\frac{3}{4}=\frac{63}{4}[/tex]

Now, 8.25 = 825/100 = 33/4

The final elevation = -33/4-20/3-63/4

= -99/4 - 20/3

= -297/12 -80/12

= - 377/12

= [tex]-31 \frac{5}{12}[/tex]

Therefore, the final elevation of the AUV is [tex]-31 \frac{5}{12}[/tex] feet.

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Answer:

She worked Seven (7) hours.

Step-by-step explanation:

$112.75 is the total

she earned $62 in tips which doesn't count because the questions asked for how long she worked.

Adding tips would make the equation unreliable because how long people work doesn't really affect how much tips you get. You maybe getting 50 bucks of tips in the first and 40 in the next.

solving steps: (where x = number of hours worked)

7.25x + 62 = 112.75 <<<the true equation based on the story

7.25x = 112.75 - 62

7.25x = 50.75

x = 50.75 ÷ 7.25

x = 7

Seven (7) hours worked.

It is known that 1 gallon is 3.78541 litres.

So it follows:

Hence the value of 3.5 gallons is 13.2489 litres.

Answer:

d=y-300

Step-by-step explanation:

The equivalent expression of the given expression 60x - 24 using distributive property and greatest common factor is 12(5x-2).

Distributive property is a property with which we multiply the sum or difference of two numbers with a number. For example:

a×(b+c) = a×b + a×c

a×(b-c) = a×b - a×c

The greatest common factor is a number which is common multiple of all the given numbers.

Now, solve the given expression 60x - 24

The factors of terms

60x = 12 × 5x

24 = 12 × 2

The greatest common factor is 12, so we take 12 common and the given expression can be written as

60x - 24

= 12 × 5x - 12 × 2

= 12(5x - 2)

Hence, the equivalent expression is 12(5x-24)

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There were three different treatments: erythropoietin, darbepoetin, and no treatment. This selection exemplifies the principle of randomization principle.

In experiments, the word treatment refers to the use of a specific medicine, therapy, or condition that is controlled by the research to test the effect of the treatment on subjects. For example, if the researcher wants to find out the ideal amount of water for a plant to grow, the treatment would be the amount of water.

In the case presented, there are three treatments:

Randomization is the principle applied because the subjects are selected randomly for each of the groups and this reduces bias.

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The trend line is linear and the trend line has an equation of y = 500/9x  + 100

From the graph, we can see that:

The points appear to be on a straight line and it increases along the x-axis

This means that the points can appear on an approximate straight line

So, we can conclude that the trend is a linear trend

On the line, we have the following points

(x, y) = (0, 100) and (9, 600)

We start by calculating the slope of the points using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where x and y are defined above

So, we have

Slope = (600 - 100)/(9 - 0)

Evaluate

Slope = 500/9

The equation is then calculated as

y = Slope(x - x₁) + y₁

Where

(x₁, y₁) = (0, 100) and Slope = 500/9

So, we have

y = 500/9 * (x - 0) + 100

Evaluate

y = 500/9x  + 100

Hence, the equation is y = 500/9x  + 100

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Answer:

A

Step-by-step explanation:

the rate of change of y with respect to x.

that is the regular slope of the linear function, which is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

from (5, 2) to (10, 3)

x changes by +5 (from 5 to 10)

y changes by +1 (from 2 to 3)

the slope or rate of change is

+1/+5 = 1/5

The probability that at least one wheel lands on a multiple of 4 or the first value is strictly greater than 8 is 53/99

The greatest number that can be formed by the two wheels is 99

Let event A be multiple of 4

Multiples of 4 between 1 to 9 is 4,8

Probability that at least one wheel land at a multiple of 4 is

[tex]\frac{2}{9} + \frac{2}{9}[/tex] = 4/9

Let event B be first value greater than 9

P(B) = 9/99 = 1/11

P(A∩B) = 0

Probability of at least one wheel lands on a multiple of 4 or the first value is strictly greater than 8

P(A∪B) = P(A) + P(B) - P(A∩B)

= 4/9 + 1/11 - 0

= [tex]\frac{4(11)}{9 (11)} + \frac{1 (9)}{11(9)}\\\\ \frac{44 + 9}{99}\\\\ \frac{53}{99}[/tex]

Therefore, the probability that at least one wheel lands on a multiple of 4 or the first value is strictly greater than 8 is 53/99

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The inequality according to the the cost of pack of paper can be written as x ≤ 14.28 and Mr. Valentino can purchase a maximum of 14 packs of paper.

What is inequality?

A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics. The majority of the time, size comparisons between two numbers on the number line are made. The two most common notations for representing various forms of inequalities are as follows:

The symbol a < b indicates that a is smaller than b.

The symbol a > b indicates that a is bigger than b.

Let's assume he can buy x pack of paper.

Cost of x pack of paper will be equal to the x times cost of 1 pack of paper

i.e. Total cost =  1.75x

Now, Mr. Valentino has $25

Therefore,

1.75x ≤  25

Inequality is ⇒  x ≤ 14.28

It tells us that Mr. Valentino can purchase only 14 packs of paper.

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