A number to the third power

Answer:

42

Step-by-step explanation:

added it on the calculator hope this helps

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathbf{5 + 5 + 5 + 5 + 5 + 5 + 10 + 2}\)

\(\huge\textbf{Solving for the equation:}\)

\(\mathbf{5 + 5 + 5 + 5 + 5 + 5 + 10 + 2}\)

\(\mathbf{= 10 + 10 + 10 + 10 + 2}\)

\(\mathbf{= 20 + 20 + 2}\)

\(\mathbf{= 40 + 2}\)

\(\mathbf{= 42}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{42}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

6x + 50

5x + 50 + x

Step-by-step explanation:

Answer:

Option 1 : 5x + 50 + x

Option 5: 6x + 50

Step-by-step explanation:

The given expression is 5(x + 10) + x

5(x + 10) = 5x + 50   by expanding the brackets

So

5(x + 10) + x = 5x + 50 + x

The first choice , 5x + 50 + x corresponds to the above so that is a correct choice

Second is incorrect

Third is incorrect

Fourth is incorrect

If we simplify 5x + 50 + x  we get 6x + 50 which is same as the fifth choice

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

To the nearest thousandth, 13.747727085 is 13.748

Explanation:

The number in the thousandth place is 7

The number behind it is 7

Since this number behind is up to 5, one is then added to the 7 in the thousandth place to give 8. Hence it becomes: 13.748

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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Answer:

$20.298, round to $20.30

Step-by-step explanation:

The orginal price of the shorts are $19.90, and the tax is 0.02 (2%), so you multiple 19.90*0.02, which is $0.398, and then you add it to $19.90 to get $20.298.

Answer:

$0.39 cents

Step-by-step explanation:

2% of 19.9 is 0.398 but we will just say 39 cents :)

Answer:

Ratio is 1:3

Step-by-step explanation:

Red shoes =2 pairs

Black shoes = 6 pairs

Red:Black= 2:6=1:3

Hope this helps you.

Answer:

A

Step-by-step explanation:

\(\frac{20x^2y^5}{12xy^7} \\\\=\frac{20}{12}*\frac{x^2y^5}{xy^7}\\\\=\frac{4(5)}{4(3)}*\frac{x}{y^2}\\\\=\frac{5}{3}*\frac{x}{y^2}\\\\=\frac{5x}{3y^2}\)

Answer:

the 13 ounce one is best to buy

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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The expression for the quadratic function can be written as:

g(x + a) - g(x) = 4ax + 2a² - 4a

Here we want to find the expression:

g(x + a) - g(x)

For the quadratic function:

g(x) = 2x² - 4x

So just let's evaluate the function in these values, we will get:

g(x + a) =2*(x + a)² - 4*(x + a)

Expanding that we will get:

            = 2(x² + 2ax + a²) - 4x - 4a

            = 2x² + 4ax + 2a² - 4x - 4a

Subtracting the original equation we will get:

g(x + a) - g(x) = 2x² + 4ax + 2a² - 4x - 4a - 2x² - 4x

                     = 4ax + 2a² - 4a

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Answer:

because 200 + 200 12 times is equal to 200 x 12Step-by-step explanation:

Answer:

Multiplication is a short way to write repeated addition. So 200 •12 means the same as 200 + 200 + . . . + 200.

Step-by-step explanation:

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

≈8.59 to 8.6 cm

Answer:

x=-2

Step-by-step explanation:

5x=x^2 - 14

x^2-5x-14=0

(x-7)(x+2)=0

x=7,-2

Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

Answer:

This would be SSS, you have no information about any of the angles, but you know all of the sides are equal, especially because they share one side.

If that doesn't work it's going to be not enough information, becausw all other postulates require you to have information on the angles.

Answer:

804.2 ft³

Step-by-step explanation:

\(V=\pi r^2 h=\pi(16/2)^2 (4) \approx 804.2\)

Problem 8

----------------

Work Shown:

h(t) = -16t^2+48t+100 is the same as y = -16x^2+48x+100, just with different variables.

Compare this to y = ax^2+bx+c to find that a = -16, b = 48, c = 100

Then compute the x coordinate of the vertex -b/(2a) getting

h = -b/(2a)

h = -48/(2*(-16))

h = 1.5

It takes 1.5 seconds for the ball to reach its peak height. The vertex represents the max height since the parabola opens downward.

==============================================

Problem 9

----------------

Work Shown:

Plug the result from problem 8 into the function

y = -16x^2 + 48x + 100

y = -16(1.5)^2 + 48(1.5) + 100

y = 136

The vertex is (1.5, 136)

This means at 1.5 seconds, the ball is 136 feet off the ground at its highest point.

==============================================

Problem 10

----------------

Work Shown:

Plug in y = 0 and solve for x

y = -16x^2 + 48x + 100

0 = -16x^2 + 48x + 100

-16x^2 + 48x + 100 = 0

Apply the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(48)\pm\sqrt{(48)^2-4(-16)(100)}}{2(-16)}\\\\x = \frac{-48\pm\sqrt{8704}}{-32}\\\\x \approx \frac{-48\pm93.29523032}{-32}\\\\x \approx \frac{-48+93.29523032}{-32}\ \text{ or } \ x \approx \frac{-48-93.29523032}{-32}\\\\x \approx \frac{45.29523032}{-32}\ \text{ or } \ x \approx \frac{-141.2952303}{-32}\\\\x \approx -1.41547593\ \text{ or } \ x \approx 4.41547595\\\\\)

A negative x value makes no sense because time cannot be negative, so we ignore the first solution. The only practical solution is roughly x = 4.415

It takes approximately 4.415 seconds for the ball to reach the ground.

==============================================

Problem 11

----------------

Work Shown:

Use the same idea as problem 10. Instead of y = 0, use y = 120

y = -16x^2 + 48x + 100

120 = -16x^2 + 48x + 100

-16x^2 + 48x + 100 = 120

-16x^2 + 48x + 100-120 = 0

-16x^2 + 48x - 20 = 0

-4(4x^2 - 12x + 5) = 0

4x^2 - 12x + 5 = 0

Now apply the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-12)\pm\sqrt{(-12)^2-4(4)(5)}}{2(4)}\\\\x = \frac{12\pm\sqrt{64}}{8}\\\\x = \frac{12\pm8}{8}\\\\x = \frac{12+8}{8}\ \text{ or } \ x = \frac{12-8}{8}\\\\x = \frac{20}{8}\ \text{ or } \ x = \frac{4}{8}\\\\x = 2.5\ \text{ or } \ x = 0.5\\\\\)

There are two moments in time when the ball is 120 feet in the air. Those two moments are at x = 0.5 seconds and at x = 2.5 seconds.

At x = 0.5, the ball is going upward. At x = 2.5, the ball is coming back down.

Answer:

(I'm not sure if your teacher is nit-picky about significant figures, but here I go...)

8) 1.5 seconds

9) 136 feet

10) 4.415 seconds

11) 2.5 seconds (also 0.5 seconds)

Step-by-step explanation:

See attached screenshot of Desmos graph showing y(t) = -16t² + 48t + 100, y = 120 and respective points.

if Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.Graph the piecewise function and Graph the step function over the interval. you need to solve for how many freinds she has.

The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).

The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.

The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.

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The range of the absolute value function below is C. f(x) < 1.

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.

The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.

The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.

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What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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Hi There!

Let the average lifespan of a tiger be t, and let the average lifespan of a lion be l.

Now, write the equation:

We know that t=17, and l = 17-3

Write the equation:

l=17-3

Solve:

l=14 (Average lifespan of a lion)

And we're done!

Hope it helps.

Have an awesome day!
\(\huge\text{TheStarryNights :D}\)

Answer:

15

Step-by-step explanation:

spread the water out equally

you dont need to use all if you do then 15 1/16

The weights are given below

Weight of Fido: x lb = 8 pound

Morris weighs y pounds, or 4 pounds.

And one monkey weighs z lb = 3 lb.

We have Fido's weight as xLb

Morris's weight as y lb

The monkey's weight as z lb

We have to create an equation with the weights together

=  (x+y+4z) lb

(x+y+4z) lb = 24

We add the weight of Fido and a monkey and equate to 11

(x+z) lb = 11

Morris's weight and the weight of 2 monkeys is less than 1 lb

we would have y+2z=x+z- 1

take like terms and we would have

x - z - y = 1

We have to add equations

x - z - y = 1

x+y+4z = 24

= 2X+3z=25

then subtract x+z = 11 from 2X+3z=25

2X+3z=25

x+z = 11

x + 2z = 14

subtract again

x + 2z = 14

x+z = 11

z = 3

put the value of z here  x+z = 11

x + 3 = 11

x = 8

Put the value of x and z in (x+y+4z) lb = 24

8 + y + 4*3 = 24

y = 24 - 8 - 12

y = 4

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