please help i need to turn this in

Please Help I Need To Turn This In

Answers

Answer 1

Answer:

a) -3

b) 9

c) -3

Step-by-step explanation:

a)

[tex]2^5 * 2^{-8} = 2^a[/tex]

In cases where we have a multiplication with exponents we keep the integer as it is and we add the exponents. 5 + -8 = -3. Therefore a is 3.

b)

[tex]\frac{4^7}{4^-{2}} = 4^b[/tex]

In cases when we have a division with exponents we keep the integers as it is and we subtract the exponents. 7 - (-2) = 7 + 2 = 9. Therefore, b is 9

c)

[tex]\frac{7^9}{7^c} = 7^{12}[/tex]

We are dividing again however we are finding the denominator.

9 - (c) = 12

Subtract from both sides: -c = 3, To make c positive we just make the value negative, c = -3. Therefore c is -3


Related Questions

Paper clips: a) one box of 100 for $0.38 or b) five-pack of 100 each for $1.27.

Answers

Answer:

b)

Step-by-step explanation:

because there will be more

6/(x^2-3x)=12/x+1/(x-3) with full expanation from the internet

Answers

Answer:

[tex]x=\dfrac{42}{13}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{6}{(x^2-3x)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]

Factor the denominator on the left side:

[tex]\implies \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]

Combine the fractions on the right side by multiplying by the LCM:

[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12}{x} \cdot \dfrac{(x-3)}{(x-3)}+\dfrac{1}{(x-3)} \cdot \dfrac{x}{x}\\\\& =\dfrac{12(x-3)}{x(x-3)}+\dfrac{x}{x(x-3)}\\\\& =\dfrac{12(x-3)+x}{x(x-3)} \end{aligned}[/tex]

As the denominators are now the same on both sides:

[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12(x-3)+x}{x(x-3)}\\\\ \implies 6 & = 12(x-3)+x\end{aligned}[/tex]

Simplify and solve for x:

[tex]\begin{aligned}\implies 6 & = 12(x-3)+x\\\\6 & =12x-36+x\\\\6 & =13x-36\\\\13x & =42\\\\\implies x & =\dfrac{42}{13}\end{aligned}[/tex]

i need help thanks11!1!1!1!1!1

Answers

Answer:

A

Step-by-step explanation:

Part a Paula ran 3 1/4 kilometers. Omar ran 4,200meters. Who ran farther and by how much?



Part b what is the total number of centimeters Omar and Paula ran? Pls. Help

Answers

Omar ran farther than Paula by 950 meters. The total distance covered by Omar and Paula is 745000 centimeters.

What is the conversion of a unit?

The conversion of a unit from one dimension to another takes a standard approach. Here, we will be looking at conversion from kilometers and meters and meters to centimeters.

Given that:

Paula ran 3 1/4 kilometers = (13/4 × 1000) meters = 3250 metersOmar ran 4200 meters

Thus, It implies that Omar ran farther than Paula by 950 meters.

The total number of distance covered = (3250+ 4200) meters

= 7450 meters

= 745000 centimeters.

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What is the exact value of cos (7pi/8)

Answers

Answer:

The bottom one ....see below

Step-by-step explanation:

Using reference angle of pi/8   and half angle trig identity:

cos ( angle/2) = -sqrt  (1 + cos (angle) /2)

cos ( pi/4  / 2) = - sqrt (1+ cos ( pi/4)/2)

  cos (pi/8)      = -    sqrt (1 + sqrt (2) / 2)

                 = - sqrt (1 + sqrt 2) / sqrt 2     rationalize the denominator

                    = - sqrt ( sqrt 2 + 2) / 2

re arrange to

          - sqrt ( 2 + sqrt2)  / 2        the fourth answer  

A rancher raises 5 times as many cows as horses. If he has 132 animals

Answers

let x = horses

5x = cows


x + 5x = 132

6x = 132

Divide both sides by 6

X = 22


he has 22 horses and 110 cows

There are 22 horses and 110 cows.

What is an equation?

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

Let 'c' represents the number of cows and 'h' represents the number of horses.

A rancher raises 5 times as many cows as horses.

So, we get an equation,

⇒ c = 5 × h                        .................(i)

There are 132 animals.

So, we get an equation,

⇒ c + h = 132                    ..................(ii)

Substitute the value of c = 5h in equation (ii)

⇒ c + h = 132

⇒ 5h + h = 132

⇒ 6h = 132

⇒ h = 22

This means, there are 22 horses.

Substitute the vale of h in equation (i),

⇒ c = 5 × h  

⇒ c = 5 × 22

⇒ c = 110

This means, there are 110 cows.

Therefore, there are 22 horses and 110 cows.

 

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The height of Canadian women was distributed normally with a mean of 161 cm
and a standard deviation of 6 cm. Determine the likelihood that a Canadian woman chosen
randomly will have a height that is between 158 cm and 163 cm.
Includes a sketch of the region under the curve below.
2014
b) The probability that a Canadian woman's height will be larger than x cm is 1%.
Determine x, to the nearest centimeter.

Answers

The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters

The probability of having a height that is between 158 cm and 163 cm

The given parameters are:

Mean = 161Standard deviation = 6

Calculate the z-scores at x = 158 and x = 163 using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z = \frac{158 - 161}{6} = -0.5[/tex]

[tex]z = \frac{163 - 161}{6} = 0.33[/tex]

The probability is then represented as:

P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)

Using the z table, we have:

P(158 ≤ x ≤ 161) =  0.69011

Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011

The value of x in the probability

The probability is represented as:

P(X ≥ x) = 1%

Express as decimal

P(X ≥ x) = 0.10

The z-score at p = 0.10 is:

z = 1.282

Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]

[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]

Make x the subject

[tex]x = 1.282\sigma + \mu[/tex]

Substitute values for standard deviation and mean

x = 1.282 * 6 + 161

Evaluate

x = 168.692

Approximate

x = 169

Hence, the value of x is 169 centimeters

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find the surface area of the rectangular prism

Answers

Answer:

that is cuban that answer is easy (200)=1902

I need help please anyone ?!!!

Answers

695. So third option

Help, forgot how to do this, and need to answer asap

Answers

Answer:

(a)12

(b)28

(c)1

Step-by-step explanation:

the dots on the plot for a and b and for c It's almost exactly a whole hour decrease of HW a student is likely to do for every extra hour a student watches TV

If f(x) = ex and g(x)=x-4, what is (gof)(x)?

Answers

[tex](g\circ f)(x)\\\\=g(f(x))\\\\=g(x-4)\\\\=e^{x-4}[/tex]

Graph (x-2)^2 + (y-1)^2 = 9

Answers

Step-by-step explanation:

Given the following question:

[tex](x-2)^2+(y-2)^2=9[/tex]

First thing we need to keep in mind is the fact that this graph is indeed a circle. We know this because we are adding two cubic roots to each other which makes the graph a circle. We know the two separate functions are cubic roots because they each have an exponent of two. Not only is this function whose graph is a circle, but the midpoint of this circle is (2,2).

Hope this helps.

Steve is a single man whose salary is $92,000 per year. Based on the tax table
below, how much does he need to contribute to his employer's 401(k) in order to
fall in a tax bracket lower than the one he is currently in?

Answers

The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.

How to calculate the tax?

From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to

fall in a tax bracket will be:

= $92000 - $82250

= $9750

Therefore, the amount is $9750

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the cost of catering a dinner is $11.95 per person plus a $25 for delivery and setup . which statement is true about the graph of the function the represents the average cost per person

Answers

Answer:

45.98

Step-by-step explanation:

there ya go I did this before so I know the correct answer

Question. 1 :
In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Question
2.
If Sin A = 3/4, Calculate cos A and tan A.​

Answers

Answer to Question 1:

AB= 24cm

BC = 7cm

<B = 90°

AC = ?

Using Pythagoras theorem :-

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

Answer to Question 2 :-

sin A = 3/4

CosA = ?

TanA = ?

SinA = Opp. side/Hypotenuse = 3/4

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

Using Pythagoras theorem :-

AC^2 = AB^2 + BC ^ 2

4² = AB² + 3²

16 = AB + 9

AB = √7cm

CosA = Adjacent side/Hypotenuse

= AB/AC

= √7/4

TanA= Opp. side/Adjacent side

=BC/AB

= 3/√7

ABC Corp. has 2,000 bonds outstanding with a $1,000 face value, an 9 percent coupon, 8 years to maturity, annual interest payments, and sells at $1,105.38. The firm also has 40,000 shares of common stock outstanding at a market price of $85 a share and a beta of 0.67. The risk-free rate is 4 percent, the market return is 15 percent, and the tax rate is 20 percent. What is WACC?

Answers

The value of WACC is 6.72%

what is WACC?

WACC is calculated by multiplying the cost of each capital source (debt and equity) by its relevant weight by market value, and then adding the products together to determine the total.

WACC=[(Market value of Equity*cost of equity+ Market value of Debt* post tax cost of debt)/(Market value of Equity+ Market value of Debt)]

Market value of Equity= 40,000*$85=$3,400,000

Cost of equity=Risk free return+ Beta equity*market retrun

=4 +0.67*15

=7.35

Market value of Debt

=2000*1105.38

=2,210,760

Post tax rate of debt

=9*80(1-20)

=0.0576= 5.76%

WACC= [$3,400,000* 7.35+ 2,210,760 *  5.76%]\ $3,400,000+2,210,760

=6.72%

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Determine a matriz x sabendo que:

(1 5) * X ( 6 8)

Answers

Answer:

es esta 1/5 y 6/8 o 15 y 68?

Evaluate the expression 3.2-4

Answers

Answer: -0.8

Step-by-step explanation:

3.2 - 4  = -0.8

Find the μ and o for the below data set. Is there an outlier?

15, 75, 88, 92, 100

Answers

The population mean (μ) is: 74

The standard deviation (σ) is: 30.6

There is an outlier, 15.

How to Find the Population Mean (μ) and the Standard Deviation (σ)?

Population mean (μ) = sum of data points / number of data points

Standard deviation (σ) = √(sum of squares/number of data points) = √(SS/n)

Given the data, 15, 75, 88, 92, 100:

Population mean (μ) = (15 + 75 + 88 + 92 + 100)/5 = 74

Standard deviation (σ) = √(4678/5)

σ = √935.6

σ = 30.6

15 is more smaller compared to most of the data points in the data, so, it is an outlier.

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What is the volume of the rectangular prism?

A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
16 in.3
22 and one-half in.3
200 in.3
212 and one-half in.3

Answers

Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 200 in³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the rectangular prism of the length of 8 inches, the width of 2 inches, and the height of 12 1/2 inches can be written as,

The volume of the rectangular prism = 8in × 2in × 12.5in

                                                               = 200 in³

Hence, The volume of the rectangular prism is 200 in³.

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which is the correct domain and range for this graph?

Answers

Answer: B

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

18. Identify the constant term in the algebraic expression
*

A.-1
B. 1
C. -2
D. 2

Answers

Answer:

A.-1 is the constant term

Constant term of an algebraic expression: A term of an algebraic expression which has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

For examples, in the algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression. therefore from the above algebraic expression 2x²+x-1, -1 will be the constant term

Which grid shows the product of 0.3 x 3?

Answers

Answer:

third grid

Step-by-step explanation:

.3×3=.9, as that is just .3 + .3 + .3

The third grid has 9/10 boxes colored, which is the same as .9

Hope this helps! :)

Subtract -2x-10from 10x^2+3

Answers

Answer:

10x^2+2x+13

Step-by-step explanation:

10x^2+3 - (-2x-10)

10x^2+3 +2x+10

10x^2+2x+13

Which of the following is a logical conclusion to the conditional statements
below?
If it is a hamburger, then it is a sandwich.
If it is a sandwich, then it can be held in your hands.

Answers

Answer:

If it is a hamburger, it can be held in your hands.

Step-by-step explanation:

The table represents a linear function.
X
y
-4
-2
-2
-10
-1
-14
1
-22
2
-26
What is the slope of the function?
O-8
0-4
02
05

Answers

Answer:

-4

Step-by-step explanation:

Consider (-4, -2) and (-2, -10).

Change in x: 2

Change in y: -8

Slope = (change in y)/(change in x) = -4

The slope of the function is -4.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us take two points from the table

(-4, -2) and (-2, -10)

Slope = -10+2/-2+4

=-8/2

=-4

Hence, the slope of the function is -4.

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On a coordinate plane, a straight red line with a negative slope, labeled g of x, A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.

Answers

Answer: Both plans cost the same when 50 texts are sent.

Step-by-step explanation:

When x=50 (meaning 50 texts are sent), the y coordinate (which represents the cost) is the same.

12 / 3 + 6 x 2? can anyone help?

Answers

Answer:

16

Step-by-step explanation:

12 divided by 3 = 4 and 6*2 = 12

12+4=16

The value of this answer is 16

To solve this expression, we will apply the properties of mathematical operations.

- First, we multiply or divide

- Second, we subtract or add

Resolution

12/3 + 6 x 2

4 + 6 x 2

4 + 12

16

So, the correct value is 16

Solve for x in the triangle. Round your answer to the nearest tenth.
X
9
64°

Answers

Answer:

x = 23.0

Step-by-step explanation:

To solve, you have to make the equation:

[tex]cos(64)=\frac{9}{x}[/tex]

Now multiply x to both sides:

[tex]cos(64)*x=9[/tex]

Next divide both sides by cos(64):

[tex]x=\frac{9}{cos(64)}[/tex]

x = 22.9675486404

Round to the tenth:

x = 23.0

Hope it helps and have a nice day!

E Homework: 3.1 Homework
Evaluate the function f(z) = 3z-8 at the indicated values.
a) Find f(-4).
1
b) Find f
2
c) Find f(z-7).
a) f(-4)=
(Simplify your answer. Type an integer or a simplified fraction.)
THINGS

Answers

Replace z with the number inside the parenthesis:

f(z) = 3z-8

a. 3(-4) - 8 = -12-8 = -20

b. 3(1/2)-8 = 1 1/2 - 8 = -6 1/2

c. 3(z-7) - 8 = 3z-21-8 = 3z-29

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