the inequality –1 + 6(–1 – 3x) > –39 – 2x.

Answer:

  (fg)(9) = 948

Step-by-step explanation:

(fg)(9) = f(9)×g(9) = (9 +3)(9^2 -2) = (12)(79)

(fg)(9) = 948

Answer:

Price of book is [tex]9\$[/tex]

Step-by-step explanation:

Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]

We have

[tex]2x=3y[/tex]

We also have

[tex]4x+4y=60[/tex]

[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]

Price of book is [tex]9\$[/tex]

Answer:

Step-by-step explanation:

Rational number ,because it can be written as 37 which is a ratio

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]

Answer:

x=2?

Step-by-step explanation:

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(3-1)^2+(-4-1)^2}\implies d=\sqrt{2^2+(-5)^2}\implies d = \sqrt{29}[/tex]

Average power output, in watts = 0.8103 watts

The average power represents the constant energy that has been used throughout the time of the journey at a constant rate.

It can be expressed by the following relation:

P=E/T

Given,

Energy consumed per mile = 93 calories

Time taken to cover 1 mile = 8 minutes

Energy consumed per minute = 93/8 calories

Average power = 93/8 = 11.625 calorie per minute

1 calorie per minute = 0.0697 watt

Average power output in watts = 11.625 × 0.0697

                                                    = 0.8103 watt

Hence, 0.8103 watt is the average power output in watt.

Learn more about average power here:

https://brainly.com/question/29845488

#SPJ2

Answer:

Sorry po just seen your email and I

Answer:

Sorry po just seen your email and I

Answer:

a) 8/17

b) 4/17

c) 5/17

d) 48/187

Step-by-step explanation:

a) P(silver) = 16/34 = 8/17

b) P(blue) = 4/17

c) P(red) = 5/17

d) P(silver, not silver) = 8/17 × 18/33 = 144/561 = 48/187

The probability for each event are -

[A] -  8/34

[B] -  16/34

[C] -  10/34

[D] -  18/33

        P(A) = n(A)/n(S)

        where -

        n(A) = Number of outcomes favorable to event A.

       n(S) = Total number of outcomes

We have 16 silver cars, 8 blue cars and 10 red cars in a parking lot.

[A] -

P{silver} = 8/(16 + 8 + 10) = 8/34

[B] -

P{blue} = 16/(16 + 8 + 10) = 16/34

{C} -

P{red} = 10/(16 + 8 + 10) = 10/34

D) -

P{not silver} = 1 - 15/33 = 18/33

Therefore, the probability for each event are -

[A] -  8/34

[B] -  16/34

[C] -  10/34

[D] -  18/33

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ2

Answer:

1031.70833333

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

(1)

[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )

[tex]log_{10}[/tex] (100,000,000) = 8

(2)

[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )

[tex]log_{10}[/tex] (0.0001) = - 4

Answer:

See the calculation below

Step-by-step explanation:

[tex]16 + 13 + 20 = 49[/tex]

[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]

[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]

[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]

If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.

First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.

So let's assume that Loto begins at the point (0, 0).

Then:

So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd

So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:

[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]

So, if he could walk directly he would only walk 22.8 ft

The difference is:

33yd - 22.8yd = 10.2 yd.

He would walk 10.2 yards less if he could walk directly from the back door to the barn door.

If you want to learn more about displacements, you can read:

https://brainly.com/question/13271165

Answer:

3/4

Step-by-step explanation:

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:

[tex]b=14[/tex]

They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.

With this information we can solve this exercise as:

[tex]5b=b+56\\4b=56\\b=14[/tex]

See more about parallel lines at brainly.com/question/16701300

Answer:

327

Step-by-step explanation:

Answer:

The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.

Step-by-step explanation:

Answer:

x >2

Step-by-step explanation:

*The exponential function gets steeper when x is greater than 2

Answer:

D. x>2 is the answer got it right

Answer:

2

Step-by-step explanation:

2/3+2(2/3)

2/3+2×2/3

2/3+4/3

2+4/3

6/3

=2

Answer:

A, B and C

Step-by-step explanation:

They all can mirror to overlap perfectly with the other side of the shape.

D and E can not

I hope this helps :)

Answer:

A    C     B

Step-by-step explanation:

those are the right answers i just did it hope it helps

Answer:

257.5 of the 515

Step-by-step explanation:

The question is cut off.

The 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.

Recall:

Thus, the given Box-and-Whisker Plot as shown in the diagram below shows that the first quartile is 22 pounds.

Therefore, the 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.

Learn more about Box-and-Whisker Plot on:

https://brainly.com/question/12343132

Answer: A...

Step-by-step explanation:I trust the guy above me....

Answer: 8.5

Step-by-step explanation: (42.50 - 17) ÷ (5 - 2)

= 25.50 ÷ 3

= 8.5

Thank me later

The rate at which the water was drained from the tank is 6 gallons of water per minute (option A)

To know the speed at which the tank was drained, we must carry out the following operations:

Taking into account the information provided by the table we establish how much water has been drained from the tank in 20 minutes.

450 gallons - 330 gallons = 120 gallons.

Subsequently, we must divide the amount of water (120 gallons) that was drained by the time it was drained (20 minutes).

120 gallons ÷ 20 minutes = 6 gallons / minute.

According to the above, we can establish that the bath drain rate is 6 gallons / minute (option A).

Note: This question is incomplete because there is some missing information. Here is the complete information:

What is the rate at which the water was drained from the tank?

Learn more about linear equation in: https://brainly.com/question/11897796

Answer:

265

Step-by-step explanation:

Answer:

Step-by-step explanation:

r=60/100=0.6<1

[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]