Select the most appropriate unit for the situation
Rate of filling a buck with water
Feet / minute
Square feet /minute
Cubic feet / minute

So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.

Sadly we don't have the original function f(x), but we can answer in a general form.

Remember that for a general function f(x), a horizontal translation of N units can be written as:

g(x) = f(x + N).

So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.

So you need to resketch f(x), but just move it 2 units to the right side (positive x-axis side).

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Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

$1200.00

Step-by-step explanation:

Let x = the discounted priced

x + .13x = 7684  Combine like terms.

1.13x = 7684  Divide both sides by 1.13

\(\frac{1.13x}{1.13}\) = \(\frac{7684}{1.13}\)

x = 6800

$6800 is the cost of the discounted article before tax.

8000 - 6800 = 1200

We can use, mainly, the next properties of the logarithms:

Then, we have that:

1. First, we can use the previous property:

2. We can condense the first two terms using the first property:

3. We can proceed similarly using the third term, and then the fourth term:

4. Finally, we have that the con:

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Hector can gather 667/20 pounds of crops in 3 1/4 days.

To determine the number of pounds of crops that Hector can gather in 3 1/4 days, we can use multiplication and addition.

First, we need to convert the mixed numbers to improper fractions.

3 1/4 = 13/4

10 2/5 = 52/5

Next, we can multiply the amount of crops Hector gathers in one day by the number of days he works to find his total output:

(52/5) * (13/4) = (52*13) / (5*4) = 676/20 = 33 7/20

Therefore, Hector can gather 33 7/20 pounds of crops in 3 1/4 days.

Alternatively, we can convert the mixed number solution to an improper fraction by multiplying the whole number by the denominator of the fraction in the mixed number and then adding the numerator. The result should be multiplied by 20 to have 20 as the denominator and simplified as below:

33 7/20 = (33 * 20 + 7) / 20 = 667 / 20

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An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

d ]

Step-by-step explanation:

Let a = 3, b = -4, and n = 8. This represents the result of expanding and simplifying \((3x - 4y)^8\) with the given values for a, b, and n.

The binomial expansion of \((ax - by)^n\) with these values is:

\((3x - 4y)^8\)

Expanding this expression using the binomial formula, we get:

\((3x - 4y)^8 = [C(8, 0) * (3x)^8 * (-4y)^0] + [C(8, 1) * (3x)^7 * (-4y)^1] + [C(8, 2) * (3x)^6 * (-4y)^2] + [C(8, 3) * (3x)^5 * (-4y)^3] + [C(8, 4) * (3x)^4 * (-4y)^4] + [C(8, 5) * (3x)^3 * (-4y)^5] + [C(8, 6) * (3x)^2 * (-4y)^6] + [C(8, 7) * (3x)^1 * (-4y)^7] + [C(8, 8) * (3x)^0 * (-4y)^8]\)

Simplifying each term, we get:

\((3x)^8 + (-32 * 3x^7y) + (168 * 3x^6y^2) + (-672 * 3x^5y^3) + (2106 * 3x^4y^4) + (-5376 * 3x^3y^5) + (11264 * 3x^2y^6) + (-17408 * 3xy^7) + (16777216 * y^8)\)

Therefore, the expanded and simplified form of (3x - 4y)^8 is:

\(3,145,728x^8 - 39,321,600x^7y + 211,631,616x^6y^2 - 806,215,680x^5y^3 + 2,692,326,656x^4y^4 - 6,464,611,840x^3y^5 + 10,565,097,216x^2y^6 - 12,519,782,912xy^7 + 16,777,216y^8\)

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Answer:

no, it is not a solution

Step-by-step explanation:

2x−y=−3.

insert the x value and y value ---> x= -2   y= 1

2(-2) -(1)= -3

simplify

-4-1=-3

-5= -3

NO

Answer:

41/25

Step-by-step explanation:

So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.

Answer:

\(\frac{41}{25}\)

Step-by-step explanation:

\((-1)^{10} + ( -22)^{0} - (\frac{3}{5})\)

\(1 + (-22)^{0} - (\frac{3}{5})^{2}\)

\(1 +1 - (\frac{3}{5} )^{2}\)

\(1 + 1- \frac{9}{25}\)

add the numbers

\(2 -\frac{9}{25}\)

Calculate the difference

\(\frac{41}{25}\) ← Final answer! ~ Hope this helps~

Answer:

Step-by-step explanation:

(x₁,y₁) = (5 , 0)  and (x₂,y₂) = (-3, 2)

Slope= \(\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(= \dfrac{2-0}{-3-5}\\\\=\dfrac{2}{-8}\\\\=\dfrac{-1}{4}\)

Equation of the line : y =mx + b

\(y = \dfrac{-1}{4}x + b\)

Plug in x = 5 and y =0 in the above equation.

\(0 =\dfrac{-1}{4}*5+b\\\\0=\dfrac{-5}{4}+b\\\\b = \dfrac{5}{4}\)

Equation of the line:

\(y =\dfrac{-1}{4}x+\dfrac{5}{4}\)

Answer:

The equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given

substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation

y = mx+b

-1 = -3(2)+b

-1 = -6 + b

b = -1 + 6

b = 5

Thus, the y-intercept form of the line equation is b = 5

now substituting b = 5 and m = -3 in the slope-intercept form of the line equation

y = mx+b

y = -3x + 5

Thus, the equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

I think it's away

Step-by-step explanation:

here's how I see it it's the director is telling you to move upstage the director isn't on the stage therefore you would have to move away from him

Answer:

To the back of the stage, away from the audience.

Step-by-step explanation:

Old stages used to tilt down to the audience so upstage meant to walk to the higher back part of the stage.

The place value of digit 5 in 65.1748 is 5unit;

The place value of digit 5 in 3526.9877 is 5hundreds;

The value of digit 5 is lesser in 65.1748 than the value of the digit 5 in 3526.9877 by;

ANSWER: 100 times

There are 125 sheets in the sale package.

If a regular package of graph paper contains 100 sheets, then a package with 25% more sheets would contain:

100 + (25/100) x 100 = 100 + 25 = 125

So a package with 25% more sheets would contain 125 sheets.

During the sale, the store is offering a package with 25% more sheets for no additional cost.

This means that the sale package contains the same number of sheets as a regular package, plus an additional 25% of that same number of sheets.

To find the number of sheets in the sale package, we can set up an equation:

Number of sheets in sale package = Number of sheets in regular package + 25% of the Number of sheets in the regular package

or

Number of sheets in sale package = 100 + 0.25 x 100

Simplifying,

Number of sheets in the sale package = 100 + 25

Number of sheets in the sale package = 125

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Answer:

800700

Step-by-step explanation:

800000 + 00000 + 0000 + 000 + 00 + 0

000000 + 00000 + 0000 + 700 + 00 + 0

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

= 800700

Answer:

Hey there!

800000+700=800700

Hope this helps :)

Answer:

\(A=50.24\ \text{unit}^2\)

Step-by-step explanation:

Given that,

The diameter of the circle, d = 8 unit

Radius, r = 4 units

We need to find the area of the circle. The formula for the area of a circle is given by :

\(A=\pi r^2\\\\A=3.14\times 4^2\\A=50.24\ \text{unit}^2\)

So, the area of the circle is equal to \(50.24\ \text{unit}^2\).

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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Answer:

A

Step-by-step explanation:

the first one because it is equilivent 5/4 and that is greater than a half

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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Answer:

150

Step-by-step explanation:

Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

The roster method of the set A' = {14, 15, 20}

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

A typical example of the roster method is to write the set of numbers from 1 to 5 as {1, 2, 3, 4, 5}.

Therefore,

U = universal sets = {14, 15, 16, 17, 18, 19, 20}

A = {16, 17, 18, 19}

Therefore, let's find A' as follows:

A' is the value not in A. Hence, in roster method.

A' = {14, 15, 20}

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Answer:

have a great day

god is great

Alicia made a quilt using 9 inches of Blue Diamonds fabric and 30 inches of Yellow Bonnets fabric.

The end-to-end measurement or size is called the length. In other words, the larger of the two or three dimensions of a geometric shape or object. For example, the length and width of a rectangle define its dimensions. In the international size system, length is also a dimensional distance quantity.

Blue Diamond fabric is 1/4" x 36" or 9" quarter yards.

5/6 yards of yellow bonnet fabric equals 5/6 x 36 inches or 30 inches.

Alicia made the quilt using 9 inches of Blue Diamonds fabric and 30 inches of Yellow Bonnets fabric.

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Answer:

1. m<1 = 125°

2. m<4 = 125°

3. m<6 = 55°

4. m<8 = 125°

Step-by-step explanation:

1. 180 - 55 = 125

2. 180 - 55 = 125

3. m<2 = m<6 , m<6 = 55°

4. m<4 = m<8 , m<8 = 125°