15. _TYU and ZUYB form a linear pair. The mZTYU = 5x - 4 and mZUYB =
3x + 10. Find the degree measure of each angle. HINT: draw a picture.
Upload your work in canvas assignment.

Answer:

a, 32

b, -58

Step-by-step explanation:

a) g(0) = 6 - 0^2 = 6

--> f(g(0)) = 4 . 6 + 8 = 32

b) f(0) = 4 . 0 + 8 = 8

--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58

Answer:

C. P–1(t) =   log5 (StartFraction t Over 19,300 EndFraction)

Step-by-step explanation:

The inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]                    

The inverse function is a function obtained by reversing the given function. An inverse is a function that serves to “undo” another function. The domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function.

For the given situation,

The function P(t) = 19,300(5)^t, where t is the elapsed time in hours.

Steps to find inverse function:

Step 1: Replace P(t) as y

[tex]P(t) = 19,300(5)^t[/tex]

⇒ [tex]y= 19,300(5)^{t}[/tex]

Step 2: interchange t and y

⇒ [tex]t = 19,300(5)^y[/tex]

Step 3: Now solve for y

⇒ [tex]\frac{t}{19300} =5^y[/tex]

By law of logarithm,

[tex]a^{x} = y[/tex]

⇒ [tex]log_{a} y=x[/tex]

Thus the equation becomes,

⇒ [tex]log_{5} \frac{t}{19300}=y[/tex]

Step 4: Now replace y as [tex]P^{-1}( t)[/tex]

⇒ [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]

Hence we can conclude that the inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex].

Learn more about inverse function here

https://brainly.com/question/19755382

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We have three parts of the equation with a power:

x^2y, 5xy^3, and 7y^2

We can find the degree of each by the following:

x^2y; 2 + 1 = 3

5xy^3; 1 + 3 = 4

7y^2; 2

Therefore, the highest degree is 4.

Best of Luck!

Answer:

-23 degree

Step-by-step explanation:

=>-14-5-3-1

=>-23

Answer:

-23°

Step-by-step explanation:

= -14 - (5+3+1)

= -14 - 9

= -23°

Answer:

5) 30.0m

6) 34.0mi

7) 11.0ft

8) 17.0 km

(all rounded off to the nearest tenth)

Step-by-step explanation:

Please see attached pictures for the full solution.

Note that; i = √-1

Divide using the rule

10/2i = -5i

Best of Luck!

Answer:

a) [tex]y=1[/tex]

b) [tex]x=-3[/tex]

Step-by-step explanation:

Recall the forms of vertical and horizontal lines

Horizontal lines come in the form of [tex]y=0x+b[/tex], so the slope of the equation is zero. The value of b will be the y-value of the point that  you're given.

This means that the equation for a would be y=1

Vertical lines come in the form of [tex]x=a[/tex]. For this line, the value of a would be equivalent to the x-value of the given point. Therefore, b. would be [tex]x=-3[/tex]

Answer:

yes it is a rational number because the number has a repeating pattern  

Step-by-step explanation:

The number 7.787887888... is rational, Yes; it has a pattern that is repeating.

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that:

The number is 7.787887888

As we know,

The rational number can be represented in the form of p/q where q cannot be equal to zero.

If the number is terminated after some decimal places then it is said to be a rational number.

If the number is repeating its digit after decimal then it is said to be an irrational number.

Thus, the number 7.787887888... is rational, Yes; it has a pattern that is repeating.

Learn more about the irrational number here:

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Answer:

The Purpose and Character of the usage of the work.

Step-by-step explanation:

In the United States of America, there is a terminology used in court called Fair use. This is a law in the USA that permits a limited use of one or more copyrighted materials without the need to first acquire permission from the holder of the copyright.

Thus, an example of something they might consider when trying to decide whether the use was fair is:

The Purpose and Character of the usage of the work.

This is because the original purpose of the work may have been altered to mean something new or different or it was just copied exactly into another work.

So knowing the purpose and character of usage of the work or material in question would be something they would consider

Answer:52 ft.

Step-by-step explanation: If the area of the base of the pyramid is

169

ft

2

then each side of the base is

13

ft

long because the base of the pyramid is a square.

Length of the side,

s

=

√

169

=

13

Iif we take the area of a square

A

=

s

2

where

s

=

13

we get the area of the base to be

169

ft

2

thus proving that each side of the base is

13

ft

long.

So to find the perimeter of the base of the pyramid we use the formula:

P

=

4

s

where

s

=

13

ft

and thus,

p

=

4

⋅

13

ft

=

52

ft

Answer:

$748.42

Step-by-step explanation:

The average rent per capita is used to measure the average rent paid by a group of people in an apartment or an area. The rent per capita estimates the average rent charged for each resident. It is ratio of the total rent paid by the people in the area to the number of residents. Hence:

The average rent per capita = Total rent / number of residents = $158000 / 211 residents = $748.42

Answer:

(RUS)={ a,c,d,ef,g}

Step-by-step explanation:

All the number of alphabets present in R and S will be the union of set R and S

Answer:

It’s d on edge

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge

Answer:

x = 12.5

Step-by-step explanation:

x2 = 25 Divide both sides by 2

x = 12.5

Answer:

[tex]\huge\boxed{x = \± \ 5}[/tex]

Step-by-step explanation:

[tex]\sf x^2 = 25[/tex]

Taking sqrt on both sides

[tex]\sf \sqrt{x^2} = \sqrt{25}[/tex]

x = ± 5

Answer:

21 plates

Step-by-step explanation:

10 people each got two plates, 10 x 2 = 20.

Plus Katelyn's plate, 20+ 1 = 21.

Hope this helps!

Answer:

its actually 21 plates

Step-by-step explanation:

10×2=20+1=21

Answer:

56

Step-by-step explanation:

9-6=3

12 divided by 3 is 4

4x6=24

24+4=28

Do the same to the other side and you get 28

28+28=56

Hope it’s right

Answer:

  30,000

Step-by-step explanation:

Set the other digits to zero to obtain your answer:

  030,000

The value of the 3 is 30,000.

___

It is in the "ten-thousands" place, so represents 3 ten-thousands, or thirty thousand.

Answer: This is a ratio of miles (m) per gallon (g), which can be written as the fraction  m/g. So Hank's truck can do 68 miles per 4 gallons, or 68/4. The other ration of miles per gallon is 34 miles to (x) amount of gallons. If you set these ratios equal to each other, the resulting equation can help you solve for the number of gallons.

Answer:

2 gallons

Step-by-step explanation:

Answer:

Jackson is incorrect.

Step-by-step explanation:

He should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.

Answer:

C

Step-by-step explanation:

Answer:

x the probleme

Step-by-step explanation:

Answer:

2 is 3/5 and 3 is (0,-6) and the slop is 4/3

Step-by-step explanation:

Answer:

(5,1)

Step-by-step explanation:

I took the test

Answer:  1) 65°     2) 17°   3) 53°  or  37°

Step-by-step explanation:

[tex]1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o[/tex]

[tex]2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o[/tex]

3.  Which angle do you need? I solved for both:

               Bottom Right                     Top Left

[tex].\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o[/tex]

Question 1:

cosθ = adj/hyp

cosθ = 3/7

θ = cos^-1(3/7)

θ = 65

Questions 2:

tanθ = opp/adj

tanθ = 8/26

θ = tan^-1(4/13)

θ = 17

Question 3:

Top left:

sinθ = opp/hyp

sinθ = 14/23

θ = tan^-1(14/23)

θ = 37

Bottom Right:

cosθ = adj/hyp

cosθ = 14/23

θ = cos^-1(14/23)

θ = 53

Best of Luck!

Answer:

76

Step-by-step explanation:

Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.

Answer:

9.090909090909%

Step-by-step explanation:

2/22 = 1/11 = 9.090909090909%

Hope This Helps :)

Answer:

105 points.

Step-by-step explanation:

The scores of team A and B is 16 and 21.

if 16 = 80, The ratio of 16 to 21 is 5.

So, that means 16 x 5 is 80.

How many points did team B get?

score x gap between 16 to 21

= 21 x 5 = 105.

the team B got 105 points.

answer = 7&3

step by step solution

let's take X and Y two intigers

X+Y=10

X-Y=4

adding both equation

X=7

Y=3

Answer:

I believe that the answer is 0

Step-by-step explanation:

All you have to do is add f and g and substitute -2 for x. When you substitute -2, simplify.

Step-by-step explanation:

(f+g)=(x-4)+(x^2-x)=x^2+x-x-4=x^2-4

when x=-2

(f+g)(-2)=(-2)^2-4=0 ans.

Answer:

x = 6

Step-by-step explanation:

5x - 11 = 19

     +11 = +11

      5x = 30

    5x/5 = 30/5

        x =  6

Answer:

77

Step-by-step explanation:

Let's let the unknown number be x.

Supplementary angles add up to a total of 180 degrees. Since we already know one angle is 103, this means that:

[tex]103+x=180[/tex]

Subtract 103 from both sides:

[tex]x=77\textdegree[/tex]

So, the measure of its supplementary angle is 77 degrees.

And we are done!

Answer:77

Step-by-step explanation:

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681