Solve for x(in picture).

Solve For X(in Picture).

Answers

Answer 1

Answer:

x = 1/8

Step-by-step explanation:

[tex]\log _2\left(x\right)=-3\\\\\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c\\\\\log _2\left(x\right)=-3\quad \Rightarrow \quad \:x=2^{-3}\\\\Simplify\\\\x=\frac{1}{8}[/tex]


Related Questions

Evaluate. Write in standard form.

Answers

Answer:

-i

Step-by-step explanation:

(-i)^0 = 1

(-i)^1 = -i

(-i)^2 = -1

(-i)^3 = -i

(-i)^4 = 1

(-i)^5 = -i

etc.

From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.

213 = 4 * 53 + 1

213 is 1 more than a multiple of 4.

(-i)^213 = (-i)^1 = -i

Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She
checks and finds that she has 105 GB available on her phone. She plans on buying additional memory
cards to get the rest of the storage she needs.
The cheapest memory cards she can find each hold 256 GB and cost $10. She wants spend as little money
as possible and still get the storage she needs.
Let C represent the number of memory cards that Nancy buys.

Answers

Answer:

C = 4 memory cards.

Step-by-step explanation:

256 × 4 = 1024

1024 + 105 = 1129 GB

She needs 4 memory cards.

Nancy needs to buy 4 memory cards.

Given that Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation, and she checks and finds that she has 105 GB available on her phone, and she plans on buying additional memory cards to get the rest of the storage she needs, and the cheapest memory cards she can find each hold 256 GB and cost $ 10, and she wants to spend as little money as possible and still get the storage she needs, to determine how many memory cards to buy, the following calculation must be performed:

(1000 - 105) / 256 = C 895/256 = C 3.49 = C

So if Nancy buys 3 cards she will still be short on gigabytes. Therefore, she must buy 4 memory cards.

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plz ans asap i havd limited time ill give brainliest

Answers

Answer:

C. $128

Step-by-step explanation:

320 x 0.5 = 160

320 - 160 = 160

160 x 0.20 = 32

160 - 32 = 128

C) $128.

50% off of 320 is 160. And then there is an additional 20% off; 20% off of 160 is 160*0.8=128.

Part of the graph of the function f(x) = (x + 4)(x - 6) is
shown below.
Which statements about the function are true? Select
two options.
py
The vertex of the function is at (1.-25).
6
4
The vertex of the function is at (1,-24).
The graph is increasing only on the interval -4< x < 6.
The graph is positive only on one interval, where x <-
4.
2-
-6
2
4
6
х
-2
-2
The graph is negative on the entire interval
4 4
6

Answers

Answer:

x-intercept(s):  

( − 4 , 0 ) , ( 6 , 0 )

y-intercept(s):  

( 0 , − 24 )

Step-by-step explanation:

The graph of the function f ( x ) = ( x + 4 ) ( x - 6 ) is plotted

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the parabolic equation be represented as A

Now , the value of A is

f ( x ) = ( x + 4 ) ( x - 6 )   be equation (1)

On simplifying , we get

The graph of the function is plotted and it is increasing only on the interval -4< x < 6

And , the vertex of the function is at P ( 1 , -25 )

Therefore , the function is f ( x ) = ( x + 4 ) ( x - 6 )

Hence , the function is f ( x ) = ( x + 4 ) ( x - 6 )

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Water flows through a pipe at a rate of 710 pints per day. Express this rate of flow in cubic feet per month. Round your answer to the nearest whole number.

Answers

Answer:

356 ft³ per month.

Step-by-step explanation:

From the question,

Water flows at a rate of 710 pints per day.

We shall convert 710 pints to cubic feet (ft³).

This can be obtained as follow:

1 pint = 0.0167 ft³

Therefore,

710 pints = 710 × 0.0167 = 11.857 ft³

From the calculations made above, 710 pints is equivalent to 11.857 ft³.

Thus, we can say that water flows at a rate of 11.857 ft³ per day.

Finally, we shall determine the rate of flow of water in cubic feet per month.

Note: there are 30 days in a month.

Water flow at a rate of 11.857 ft³ per day.

Therefore, the rate of flow of water in 30 days will be = 30 × 11.857 ft³ = 356 ft³

Thus, the flow rate of water is 356 ft³ per month.

please help :) A scientific question may lead to a(n) blank , which can be tested.

Answers

Answer:

Hypothesis

Step-by-step explanation:

The hypothesis is an educated guess that can be tested through experimentation.

How to differenciate natural,whole,integers,rational,irrational numbers and real numbers sets from -12 to 49 and draw numbers lines to represent prime numbers and divisible by 7.

Answers

Answer:

Step-by-step explanation:

Natural Numbers :

These are numbers used for counting, they are the numbers on a number line. From -12 to 49, the natural numbers are 1, 2, 3, ..., 49.

Whole Numbers:

These are numbers that can be written without havin to write in fractions. They are 0, 1, 2, ..., 49.

Rational Numbers:

These are numbers that can be expressed as fractions.

Irrational numbers :

These are numbers that cannot be expressed as fractions.

Real Numbers:

These are numbers that can be used to measure quantities, they include negative, positive numbers and zero. From -12 to 49, all the numbers are real.

Prime Numbers:

These are numbers that are divisible only by one and themselves.

From 7 to 49, the numbers divisible by 7 are 7, 14, 21, 28, 35, 42, and 49.

Only 7 is prime.

which of the following statements are true? check all that apply. check all that apply. the volume of a cube depends on the lenght of its sides. a cube with a side length of 10 feet has a volume of 1,000 cubic feet. a cube with a side length of 2 feet has a volume of 8 cubic feet.
A. volume(2)=8
B. volume (8)=2
C. volume (10)=1,000
D. volume (1,000)=10

Answers

Answer:

Option A and Option C

Step-by-step explanation:

what is 384 remainder 3 as a decimal

Answers

Answer:

U just add a .3      

Step-by-step explanation:

so it would be 384.3 i think

Andrea is comparing the prices charged by two different taxi firms.

Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey, and there is a linear relationship between the price and the length of the journey.

Firm B charges a pickup fee of £3 and then £2.40 for each mile travelled.

Find the length of the journey for which both firms would charge the same amount.​

Answers

Answer: 17.5 miles

Step-by-step explanation:

P=price, L=length

Firm A:

P=2L+10

Firm B:

P=2.40L+3

2.40L+3=2L+10

L=17.5

The fare would be the same for 17.5 miles for both firms.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey . let the fixed component of the fare be k and charge for travelling per mile be x then we have,     20=5x+k. . . (1)

                                                   30=10x+k. . . .(2)

solving these two equations we get x=2 and k = 10

Now let the length of the journey that both firm charge the same is equal to  L and given here that firm B charges a pickup fee of £3 and then £2.40 for each mile travelled. Thus forming the equations we get

2L+10=2.40L+3

0.40L=7

      L=17.5

Hence, The fare would be the same for 17.5 miles for both firms.

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A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?

Answers

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

(t)What is the difference between
{2, 3} and {{2, 3}}?

Answers

Answer:

[tex]\boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

{2, 3} is a set consisting of two elements. The two elements are the numbers 2 and 3.

{{2, 3}} is a set consisting of one element. That one element is the set {2, 3}.

In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in the simplest radical form. The question is multiple choice and the choices are below. A. 20[tex]\sqrt{2}[/tex] ft B. 10 ft C. 20 ft D. 10 [tex]\sqrt{2}[/tex] ft

Answers

Answer: D [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

It says that the measure of angle B is 45 degrees. So if we were to put in 45 degrees  we could see that is is opposite AC and BC which we needs to find is the hypotenuse. So since we know the opposite of angle B  is 10 ft we can using that to find the length of BC.  Opposite hypotenuse is the sine function so we will use it to calculate the length of BC.

sin(45) = [tex]\frac{10}{BC}[/tex]       multiply both sides by BC  

BC sin(45) = 10      divide both sides by sin(45)

BC = [tex]\frac{10}{sin(45)}[/tex]

BC = [tex]10\sqrt{2}[/tex]

Answer:

[tex]\huge\boxed{Option\ D : \ BC = 10\sqrt{2}\ ft }[/tex]

Step-by-step explanation:

Since it's a right angled triangle, We'll use trigonometric rations.

Given that m∠B = 45°

So,

Sin B = opposite / hypotenuse

Where m∠B = 45°, opposite = 10 ft and hypotenuse = BC

Sin 45 = 10 / BC

[tex]\sf \frac{\sqrt{2} }{2} = \frac{10}{BC}[/tex]

BC = 20 / √2

Multiplying and Dividing by √2

BC = 20√2 / √(2)²

BC = 20 √2 / 2

BC = 10√2 ft

A raft in an amusement park ride comes out of a tuner and heads straight toward a waterfall at a speed of 44 feet per second. The waterfall is 240 feet from the tunnel. What equation is a function rule that represents the distance of the raft to the waterfall?

Answers

Answer:

d = 240 - 44t

Step-by-step explanation:

Distance of the raft to the waterfall

The raft is heading for the waterfall, therefore, the distance between the raft and the waterfall is diminishing.

Waterfall=240 ft from the tunnel

Speed of the raft =44 ft per second

Therefore the equation of a function rule that represent the distance of the raft to the waterfall is:

d = 240 - 44t

Where t=time in seconds

HELPPPP MEEEEEE

Mia has a large bag of sweets. If she shares the sweets equally among 2, 3, 4, 5 or 6 people there will always be 1 sweet left over. What is the smallest number of sweets there could be in the bag?

Answers

Answer:

61

Step-by-step explanation:

3 x 4 x 5 = 60

30 + 1 = 61

23-[12+{16-(12÷3)}] simplify​

Answers

Answer:

           23-[12+{16-(12÷3)}] = - 1

Step-by-step explanation:

23 - [12 + {16 - (12÷3)}] =

= 23 - [12 + {16 - 4}] =

= 23 - [12 + 12] =

= 23 - 24 =

= - 1  

Answer:

The Answer to 23-[12+{16-(12/3)}]=-1

Step-by-step explanation:

To answer this question you must follow the order of operations.

PEDMAS

23-[12+{16-(12/3)}]

23-[12+{16-4}]

23-[12+12]

23-24=-1

Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.

Answers

Hey there! I'm happy to help!

The two letters of the line segment describe the end points, or the points that the line is in between.

We want to find the distance between E and F. The distance between D and E is 9, while the distance between D and F is 11. We see that from D to F is 2 more than D to E, which must mean that the distance between E and F is 2.

The length of EF is 2.

Have a wonderful day! :D

What is the factorization of 2x^2 + 5x + 3?
A. (x+3)(x + 3)
B. (x+3)(x + 1)
C. (2x+3)(x + 1)
D. (2x + 3)(x + 3)

Answers

Answer:

( 2x +3) (x+1)

Step-by-step explanation:

2x^2 + 5x + 3

2 factors to 2 and 1

3 factors to 3 and 1

We need to get 5x in the middle

( 2x +3) (x+1)

Simply. If the solution is not a real number enter not a real number rotate picture answer all 3 please

Answers

Answer:

13. [tex]\frac{\sqrt[5]{x^4} }{x}[/tex].

14. [tex]v = \pm3\sqrt{5}[/tex]

15. 2.

Step-by-step explanation:

13. [tex]x^{1/5} * x^{-2/5}[/tex]

= [tex]x^{1/5 + (-2/5)}[/tex]

= [tex]x^{1/5 - 2/5}[/tex]

= [tex]x^{-1/5}[/tex]

= [tex]\frac{1}{x^{1/5}}[/tex]

= [tex]\frac{x^{4/5}}{x^{1/5 + 4/5}}[/tex]

= [tex]\frac{x^{4/5}}{x}[/tex]

= [tex]\frac{\sqrt[5]{x^4} }{x}[/tex].

14. [tex]v^2 - 45 = 0[/tex]

[tex]v^2 = 45[/tex]

[tex]\sqrt{v^2} = \pm\sqrt{45}[/tex]

[tex]\sqrt{v^2} = \pm\sqrt{3^2 * 5}[/tex]

[tex]v = \pm3\sqrt{5}[/tex].

15. [tex]\sqrt[3]{2} * \sqrt[3]{4}[/tex]

= [tex]\sqrt[3]{2 * 4}[/tex]

= [tex]\sqrt[3]{2 * 2 * 2}[/tex]

= [tex]\sqrt[3]{2 ^3}[/tex]

= 2.

Hope this helps!

Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy?

Answers

Answer:

They purchased 14 adult tickets and 4 kids tickets.

Step-by-step explanation:

14 x 5 = 70

3x4=12

and then add 70 plus 12 to get 82 dollars.

The number of adults tickets that were sold for the movie will be 14 tickets.

The equation to solve the question will be:

a + s = 18 .......... i

5a + 3s = 82 ......... ii

Form equation i, s = 18 - a

5a + 3s = 82

5a + 3(18 - a) = 82

5a + 54 - 3a = 82

Collect like terms

5a - 3a = 82 - 54

2a = 28.

a = 28/2

a = 14

Therefore, s will be:

s = 18 - a = 18 - 14 = 4

The number of adults ticket is 14

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Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings

Answers

Answer: d. savings

Step-by-step explanation:

First, what is an emergency?

Well, it depends on the situation, but suppose that you have a store where you sell edibles.

Some of these edibles may need to be stored in fridges, now suppose that one of the fridges breaks. That is an emergency, now you need to replace it the faster you can. In this point, you need to use savings specially prepared for situations like this.

So the correct option is d: savings.

If ∠A and ∠B are vertical angles, what is true about their measures?

Answers

Answer:

they are equal due to the vertical angles theorem

vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

They are equal

Step-by-step explanation:

I just had it on a exam and can I have brainliest Im trying to level up

1. Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

Answers

Complete question:

Dada a função exponencial abaixo, se x=1, qual valor de imagem? * a) 1 b) -2 c) 0 d) -1

The function in the image is f(x) = 3^x-1

Answer:

A) 1

Step-by-step explanation:

To solve the exponential function above given that x = 1;

Substitute x = 1 into the exponential function

If x = 1

f(x) = 3^(x - 1)

f(1) = 3^(1 - 1)

f(1) = 3^0

f(1) = 1

27
What is the value of the expression
-x(y - 3)2 for x = -2, y = 6 ?

HELP! answer if you can plz and thank you..​

Answers

Answer:

12

Step-by-step explanation:

Substitute the given numbers for the variables.

-(-2)(6-3)2

2(3)2

12

Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 5 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.

Answers

Answer:

91.67inch^3

Step-by-step explanation:

The volume of a cone can be calculated using below formula

V= 1/3 π.r^2h

Where h= height of the cone

r= radius of the cone

V= volume of the cone

Given :

height= 11inches

radius= 5inches

π= 3.14

Then substitute into the formula we have

V= 1/3 × 3.14× 5^2 ×11

V= 91.67inch^3

Therefore volume of the cone is 91.67inch^3

Farmer Green sent his two children out to count the hens and sheep. His daughter counted 40 hens, and his son counted 100 legs. How many of each animal is on the farm?

Answers

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

Solve for a. Worth 10 pts!
[tex] \frac{1}{5} a - 5 = 20[/tex]

Answers

1/5a-5=20
+5. +5
1/5a=25
Divide 1/5 on both side
a=125

Answer:

Step-by-step explanation:

1/5 a-5=20   addition properties

1/5 a -5+5=20+5

1/5=25     multiply both sides by 5

5/5 a=25*5

a=125

check the answer:

125/5 -5=20

25-5=20

20=20 correct

f(x)=3-2x whats f(0) =?

Answers

Answer:

The answer would be F(x)= 3

Step-by-step explanation:

you just substitute the 0 for all the x's in this case the x next to the 2.

f(x)= 3-2(0)

Then you multiply the 2 to the 0 which will give you 0.

f(x)= 3-0

And lastly you would subtract the 3 from the 0 and your answer will be

F(x)=3

Hope this helped!!!

What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (-3, 1)?
y-1=- Ž(x+3)
y-1=-{(x + 3)
y-1= {(x+3)
y-1= {(x+3)

Answers

Answer: [tex](y-1)=\dfrac{3}{2}(x+3)[/tex]

Step-by-step explanation:

Slope of the given line passing through (-2,-4) and (2,2) :

m=  [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\dfrac{2-(-4)}{2-(-2)}\\\\=\dfrac{2+4}{2+2}=\dfrac{6}{4}\\\\=\dfrac{3}{2}[/tex]

Parallel lines has same slope . That means  slope of required line would be [tex]\dfrac{3}{2}[/tex].

Equation of a line passing through (a,b) and has slope 'm' is given by :_

[tex](y-b)=m(x-a)[/tex]

Now, Equation of a line passing through(-3, 1) and has slope '[tex]\dfrac{3}{2}[/tex]' is given by

[tex](y-1)=\dfrac{3}{2}(x-(-3))\\\\\Rightarrow\ (y-1)=\dfrac{3}{2}(x+3)\ \ \to \text{Required equation in point slope form.}[/tex]

Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 − 1 over 4

Answers

Answer:

6 1/2  divided by 1/4

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which of the following is an example of precipitate a. liquid evaporating into gas b. a solid form from a frozen liquid c. a chunky solid form from 2 liquids combining d. a liquid solution that contains 2 substances solve the equation for 3x=24 for x Which of the following are true statements about the expression 5 + (-5) 1. the expression equals 0. 2. The expression equals 10. 3. The expression describes the number that is 5 to the left of 5 on the number line. 4. The expression describes the number that is 5 to the right of 5 on the number line. The general manager, marketing director, and 3 other employees of CompanyAare hosting a visitby the vice president and 2 other employees of CompanyB. The eight people line up in a randomorder to take a photo. Every way of lining up the people is equally likely.Required:a. What is the probability that the bride is next to the groom?b. What is the probability that the maid of honor is in the leftmost position?c. Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false. Fill in the blanks and explain the pattern.1, 4, 9, 16, 25,__,__,__,__,100Fill in the blanks and explain the pattern.1/2, 1/6, 1/18, 1/54,__,__,__ A long, straight wire carries a 13.0-A current. An electron is fired parallel to this wire with a velocity of 250 km/s in the same direction as the current, 2.00 cm from the wire. (a) Find the magnitude and direction of the electrons initial acceleration. (b) What should be the magnitude and direction of a uniform electric field that will allow the electron to continue to travel parallel to the wire? (c) Is it necessary to include the effects of gravity? Justify your answer. How does that grammar structure is called? Cave-dwelling catfish and cave-dwelling earthworms both lack pigmentation and their eyes are reduced or absent. The most recent common ancestor to these organisms had normal pigmentation and fully developed eyes. The similarities between cave catfish and cave earthworms are an example of please help me i need help 1. What's the overall tone of this poem? 2.After reading this poem discuss your reaction to the boxer and all that he has to go thru help I'm dumb Manuel says that he can solve the equation 3n = 21 by multiplying both sides by . Explain why this is correct. what level of security access should a computer user have to do their job? the plot development in a story is called? A. summary B. suspense C. setting Avanety of two types of snack packs are delivered to a store. The box plots compare the number of calories in eachsnack pack of crackers to the number of calories in each snack pack of trail mix.Number of Calories in Each Snack PackCrackersTrail Mix65707580859095100 105 110 115Which statement is true about the box plots?The interquartile range of the trail mix data is greater than the range of the cracker data.The value 70 is an outlier in the trail mix dataThe upper quartile of the trail mix data is equal to the maximum value of the cracker dataO The number of calories in the packs of trail mix have a greater variation than the number of calories in the packsof crackers Performing binary search on an unsorted list will always return the correct answer in O(n) time where n is the length of the list.a) trueb) false Which of the following correctly describes the features of third-person omniscient point of view? Select all that apply.A) The narrator uses pronouns like "1" "we," and "our".B) The narrator has knowledge of the actions, thoughts, and feelings of all of the charactersC)The narrator addresses the reader with the pronoun "you".D) The narrator describes what can be seen and heard by an observer, but does not have access to the thoughts and feelings of thecharactersThe narrator refers to all of the characters with third person pronouns like "they." "their," "she," and "his". Carla drove her truck 414 miles on 18 gallons of gasoline. How many miles did she drive per gallon? Zanna rounded these numbers.7,494 7,5407,452First, she rounded them to the tens place. Then, she rounded them tothe hundreds place. Finally, she rounded them to the thousands place.At which place were the rounded numbers all the same? What was therounded number? Ben and Susan are truck drivers who start at the same location. Ben drives 300 miles due west and Susan drives 160 miles due south. To the nearest mile, how far apart would they be? Please help me ASAP...A train increases its speed steadily from 10 m/s to 20 m/s in 1 minute. a What is its average speed during this time, in m/s? b How far does it travel while increasing its speed?