Write the expression as a power and evaluate it.
8•2^7

1/[tex]a^{6}[/tex] is the required number.

Numbers, symbols and operators (such as and times) grouped together that show the value of something.

Given an expression (a³)^-2

(a³)^-2 = [tex]a^{-6}[/tex] = 1/[tex]a^{6}[/tex]

Hence, 1/[tex]a^{6}[/tex] is the value of the expression (a³)^-2

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There is a total of 2152 yes votes

From the question, the statement is given as

The ratio of yes votes to no votes was 4 to 7

Mathematically, this can be represented as

Ratio = 4 : 7

Alternatively, we have

Yes : No = 4 : 7

Express the ratio as fraction

Yes = Yes/Yes + No

So, we have

Yes = 4/4 + 7

Evaluate the sum

Yes = 4/11

From the question, we have

Total votes = 5918

So, we have

Yes = 4/11 * 5918

Evaluate

Yes = 2152

Hence, the number of yes votes is 2152

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The linear equation we need to solve is:

$25.50*w = $309.99 - $131.49

And the solution is w = 7.

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $131.49, and save another $25.50 per week, then the amount you have after w weeks is:

f(w) = $131.49 + $25.50*w

So the linear equation we need to solve is:

$131.49 + $25.50*w = $309.99

To solve this we need to isolate w.

$131.49 + $25.50*w = $309.99

$25.50*w = $309.99 - $131.49

w = ($309.99 - $131.49)/$25.50 = 7

So they can buy the chair after 7 weeks.

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Martin had 6 magazines. Then m more magazines came in the mail. Write an expression that shows how many magazines Martin has now.

Martin now has: 6 + m

Answer:

D.

Step-by-step explanation:

just click the rotate button until it matches one of the answers

( 60+12x )/5 fish fisherman will catch in 5+x days .

The unit method is a method of solving a problem by first obtaining the value of a single unit,  then multiplying the value of the single unit to obtain the necessary value.

Assume you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value. Knowing the units and values ​​is important when solving problems using unitary methods.

For simplicity, always write what you calculate on the right and what you know on the left. In the problem above, we know the amount of apples, but we don`t know the value of the apples. Note that the concept of ratio and ratio is used for problems related to this method.

5 days ------------> 12 fish

1 day --------------> 12/5 fish

5 + x days --------------> 12/5 x (5+x)

                                   = ( 60+12x )/5 fish

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The dimensions of this rectangular tank that has the minimum surface area are 42 feet and 21 feet.

First of all, we would determine the surface area of this rectangular tank with a square​ base by using this formula:

h = V/s²

Where:

For the surface area of this rectangular tank with a square​ base, we have:

Surface area, A = base area + 4(lateral area)

Surface area, A = s² + 4(s × h)

Surface area, A = s² + 4(s × V/s²)

Surface area, A = s² + 4V/s

Next, we would take the first derivative of the surface area as follows:

A' = 2s - 4V/s²

Substituting the given parameters into the formula, we have;

A' = 2s - 4(37044)/s²

For the minimum surface area dimension, the first derivative of the surface area would be equated to zero:

2s - 148,176/s² = 0

148,176/s² = 2s

148,176 = 2s³

s³ = 74,088

s = ∛74,088

s = 42 feet.

For the height, we have:

Height, h = V/s²

Height, h = 37044/42²

Height, h = 37044/1764

Height, h = 21 feet.

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Option A is the correct answer g(x) = |x+3| by using the relation with the parent function.

Explain absolute value function.

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.

The definition of the absolute value parent function, f(x)=| x |, is as follows:

f(x) = [tex]\left \{ {{x ~, ~ x > 0} \atop {0 ~ , ~x = 0}} \atop {-x ~, ~x < 0} \right.[/tex]

Given parent function is f(x) = |x|

g(x) is obtained by stretching the graph of f(x) by a factor of 3.

Use the function g(x)=f(x−h) to translate the absolute value function f(x)=| x | horizontally.

The graph of f(x) is moved h units to the right to obtain g(x) for h>0

The graph of f(x) is translated h units to the left to obtain g(x) when h>0

Therefore, g(x) = |x+3|

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Omar deposited d dollars into a savings account y years ago. ... following expressions could be used to determine the zeros of the function f (x) when f (x).

Step-by-step explanation:

4

Step-by-step explanation:

[tex]{ \tt{ \frac{5}{1} \times \frac{4}{5}}} [/tex]

[tex]{ \tt{ \frac{5 \times 4}{5}}} [/tex]

[tex]{ \tt{ = \frac{20}{5}}} [/tex]

[tex] = { \green{ \boxed{ \pink{ \sf{4}}}}}[/tex]

Answer:

A fruit seller buys 712 fruits of which 3/4 are apples. The apples that he bought 1/3 were found to be rotten if he sold all the good apples at Rs.5 1/4 each.

Step-by-step explanation:

Answer:

Step-by-step explanation:

42feet

Answer: y= (2/3)x - 2

Step-by-step explanation:

The biggest way to remember equations like these is to know rise over run which means however many times it goes up until it intersects with both x and Y will be on the top of the fraction and however many times it goes to the right until it intersects with both x and y will be on the bottom of the fraction. So since it hits (0, -2) then intersects at (3,0) it will be 2/3x and the Y is where X equals zero so it would be -2. Hope that helps!

Answer:

y  =  [tex]\frac{2}{3}x - 2[/tex]

Step-by-step explanation:

Step 1:

Choose two points on the graph, (x1, y1) and (x2, y2), to find the slope.

Find the ratio between change in y-values and change in x-values.

m = (y2 - y1) / (x2 - x1)

Points I picked:

(x1, y1) = (0, -2)

(x2, y2) = (3, 0)

Then,

m = (0 - (-2)) / (3 - 0)

m = 2/3

Step 2 :

Find the y-intercept from the graph. That is the point at which the line intersects the y-axis.  

The y-intercept is -2.

b  =  -2

Step 3 :

Use the slope (m) and y-intercept (b) to write the equation in slope-intercept form:

y = mx + b

Substitute m = 2/3 and b = -2

y  =  2/3 x - 2

The value of the number 9.15 x 10° written in standard form is equal to 9.15.

As given in the question,

Given number is equal to :

9.15 x 10°

Given number 9.15 x 10°  is written in standard form.

The value of the given number 9.15 x 10°  written in standard form is given by:

9.15 x 10°

Here 10° = 1

Using property of number: Any number raise to zero is always equal to 1.

9.15 x 1

Using Multiplicative identity , number multiply to 1 remain number itself.

= 9.15

Therefore, the value of the number 9.15 x 10° written in standard form is equal to 9.15.

The complete question is:

What is the value of 9.15 x 10° written in standard form?​

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The graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.

First, let us understand the polynomial function:

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 9y + 6 is a polynomial with an exponent of 1.

We are given:

f(x) = x^3 - 2x^2 - 5x + 6

We know that, when the graph intersects the x-axis, it satisfies the equation that is f(x) = 0 at that point.

Let us check the points one by one;

Option A;

The graph intersects the x-axis at -2, 1, and 3 it should satisfy the equation f(x) = 0.

Let's put x = -2 in f(x), we will get;

f(-2) = -2^3 - 2(-2)^2 - 5(-2) + 6 = -8 - 8 + 10 + 6 = -16 + 16 = 0

f(-2) = 0.

Let's put x = 1 in f(x), we will get;

f(1) = 1^3 - 2(1)^2 - 5(1) + 6 = 1 - 2 - 5 + 6 = 7 - 7 = 0

f(1) = 0.

Let's put x = 3 in f(x), we will get;

f(3) = 3^3 - 2(3)^2 - 5(3) + 6 = 27 - 18 - 15 + 6 = 33 - 33 = 0

f(3) = 0.

So, the points -2, 1, and 3 satisfy the equation f(x).

Thus, the graph which represents the polynomial function f(x) = x^3 - 2x^2 - 5x + 6 is in option A.

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The graph of the linear equation can be seen in the image at the end.

Here we have the linear equation:

y = -2x - 1

To graph this, we need to evaluate from x = -2 to x = 2, this means replacing the value of x by the correspondent number.

if x = -2, then:

y = -2*(-2)  - 1 = 4 - 1 = 3

So we have the point (-2, 3)

if x = -1

y = -2*-1 - 1 = 2 - 1 = 1

We have the point (-1, 1)

If x = 0

y = -2*0 - 1 = -1

We have the point (0, -1)

If x = 1

y = -2*1 - 1 = -3

We have the point (1, -3)

If x = 2

y = -2*2 - 1 = -5

We have the point (2, -5)

Now we just need to graph these 5 points on a coordinate axis and then connect them with a line, the graph of the linear equation can be seen below.

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Expression which placed on the right side of equal sign is,

[tex]2+3^3 =2 +3\times 3\times 3[/tex]

[tex]2+3^3= 2+27[/tex]

[tex]2+3^3= 29[/tex]

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

What do you mean by equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given, a expression 2 + [tex]3^3[/tex] = ?  

what can  be placed right side of the expression?

so, first we calculate the [tex]3^3[/tex] which means 3 x 3 x 3 = 27.

then , add 2 and 27 and the answer is 29.

but the answer is not present into the option.

Final answer will be 29 which placed right side of the equation 2 + [tex]3^3[/tex] = 29.

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Answer:

3x^2-2x+3+1/x+2

Step-by-step explanation:

Answer:

{-9,-8,7,8,10}

Answer:

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

We're assuming Deshaun is driving at a constant speed/at the same rate,

He drove 469 miles in 7 hours -> his speed = 469 : 7 = 67 (mph)

Therefore, it would take him 335 : 67 = 5 hours to drive 335 miles.

After using the property of power, the expressions as a power of the number a is [tex](a^3)^{-2} = a^{-6}[/tex] , [tex](a^{-1}\cdot a^{-2})^{-3} = a^{9}[/tex] and [tex]((a^2)^{-2})^2=a^{-8}[/tex] .

In the given question we have to solve the given expressions as a power of the number a where a≠0.

The first given expression is [tex](a^3)^{-2}[/tex].

Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

Simplifying the expression.

[tex](a^3)^{-2} = a^{3*(-2)}[/tex]

[tex](a^3)^{-2} = a^{-6}[/tex]

The second expression is [tex](a^{-1}\cdot a^{-2})^{-3}[/tex]

Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{(-1)\times(-3)}\cdot a^{(-2)\times(-3)}[/tex]

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{3}\cdot a^{6}[/tex]

Using the property of sum of power [tex]a^m\cdot a^n=a^{m+n}[/tex]

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{(3+6)}[/tex]

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{9}[/tex]

The third expression is [tex]((a^2)^{-2})^2[/tex].

Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

[tex]((a^2)^{-2})^2=((a^2)^{(-2)\times2})[/tex]

[tex]((a^2)^{-2})^2=(a^2)^{-4}[/tex]

Again using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

[tex]((a^2)^{-2})^2=a^{2\times(-4)}[/tex]

[tex]((a^2)^{-2})^2=a^{-8}[/tex]

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The equation of the line is ,y= -9x+5.

Acc to our question-,

We should use the slope-intercept formula to solve this problem.

The point-slope formula states:= [ y = mx + c]

Where m is the slope and c is the y-intercept for the point (0,y1)

Substituting the information provided we get the equation: y= -9x+5.

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He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

An hour (symbol: h; also abbreviated as hr) is a measure of time that is traditionally thought of as one-fourth of a day and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour. 60 minutes is one of the 24 equally spaced out segments of a day.

Given,

Earns $11/hr

Worked for 6 hours and 30 minutes

Multiplying:

$11 × 6.5 hours

$ 71.5

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

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Answer:

116.

Step-by-step explanation:

Your welcome <3.

Answer:

116

Step-by-step explanation:

Answer:

the graphical explanation please

Answer:

765

Step-by-step explanation:

The slope of a line KH if H(-4, 2) and K(2, -2) is -2/3.

A mathematical word used to define a line's direction and steepness is its slope or gradient.

If a line is rising from left to right, it is growing. The slope is positive, or m>0

If a line decreases from left to right, it is said to be diminishing. The slope is negative, indicating that m < 0

A line has zero slopes if it is horizontal. This function is constant.

The slope of a line is y - y₁ = m(x - x₁)

Slope m = (y₂ - y₁)/(x₂ - x₁)

m = (- 2 - 2)/(2 + 4)

m = - 4/6

m = - 2/3

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