A car moves at 45 miles per hour. The time and the distance it travels are recorded.

What is the dependent variable?

the car
the time
the distance
45

Answers

Answer 1

Answer:

the distance

Step-by-step explanation:

More time care travels, more distance it goes. So distance depends of the time.


Related Questions

There are (713)3⋅ 70 strawberries in a field. What is the total number of strawberries in the field?

Answers

Answer:

149,730 strawberries

Step-by-step explanation:

Answer:

149,730 strawberries

Step-by-step explanation:

Consider today's stock listing for Enam Telecom, shown below. 52 wk High 52 wk Low Symbol Div. Close Net Change 122.86 64.77 ENM 3.45 99.14 4.74 If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then. a. $4.74 b. $0.72 c. $0.49 d. $1.34

Answers

Answer:

B. $0.72

Step-by-step explanation:

Here is the stock listing for Enam Telecom

52 wk high is 122.86

52 wk low is 64.77

Div. is 3.45

Close is 99.14

Net change is 4.74

From the question the lowest price which was 64.77 was 48 days ago.

therefore net change in value is:

Close - lowest price:

99.14 - 64.77 = 34.37

Since change is in 48 days,

the average change per day is:

Total change / number of days = 34.37/48 = 0.716

This answer is approximately 0.72

Therefore average change per day is 0.72

Answer:

B

Step-by-step explanation:

True or false?You can represent the distance of an object underground using negative numbers.


Answers

Answer: True

Step-by-step explanation:

If you draw a vertical number line, the numbers in it will infinitely extend in both directions (up and down), having the zero 0 as the neutral number (the origin).

Then, the numbers that are above the origin are the positive integers and represent the distance of an object above zero, while the numbers below the origin are the negative integers and represent perfectly the distance of an object underground (below the origin).

The statement is true, negative numbers can be used to represent the distance of an object below a reference point, such as underground relative to the surface.

True or false? You can represent the distance of an object underground using negative numbers.

The statement is true. In mathematics, especially when dealing with physical situations like displacements and positions, using negative numbers to indicate direction is a common practice. We often choose a frame of reference and a positive direction at the beginning of a problem. In this context, for example, if we define the surface of the ground as our reference point and the direction away from the center of the Earth (upwards) as positive, then it would take sense to use negative numbers to represent the distance of an object that is located underground, indicating it is below the reference point.

It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number $h$ of hours you can rent the canoe.

Answers

Answer:

the equation would be

28÷(11.50+5.50)

hope this helps :)

Answer:

28=5.50h+11.50

Step-by-step explanation:

Solve the equation
x-5=36-7(x+7)

Answers

Answer: x = -1

Step-by-step explanation:

1) x - 5 = 36 -7x -49

2) x - 5 = -13 -7x

3) x + 7x =- 13 +5

4) 8x =- 8

5) x = -1

Please mark this as the brainliest answer! :) I hope this helped! <3

Finding exact value using half angle identities
Why is my answer incorrect?

Answers

Step-by-step explanation:

Your mistake is here: cos(-45°) = +½√2, not -½√2.

±√((1 + ½√2) / 2)

= ±√((2 + √2) / 4)

These product of two consecutive integers is 72. The equation x(x+1)=72 represents the situation, where x represents the smaller integer. Which equation can be factored and solved for the smaller integer

Answers

Answer:

[tex]x-8[/tex],  smaller integer is 8.

Step-by-step explanation:

Given:

The product of two consecutive integers is 72.

The equation x(x+1)=72 represents the situation, where x represents the smaller integer.

Question asked:

Which equation can be factored and solved for the smaller integer ?

Solution:

[tex]x(x+1)=72\\\\ x^{2} +x=72\\ \\ By\ subtracting\ both\ sides\ by\ 72\\ \\ x^{2} +x-72=72-72\\ \\ x^{2} +x-72=0\\ \\ x^{2} +9x-8x-72=0\\ \\ Taking\ x+9\ as\ common \\ \\ x(x+9)-8(x+9)=0\\ \\ x+9=0,x-8=0\\ \\ x=-9,x=8[/tex]

[tex]x-8[/tex]  can be factored and solved for the smaller integer, and that is 8.

Two consecutive integers are 8 and  9 and their product is 8 [tex]\times[/tex] 9 = 72

help with properties of rhombus,rectangles and squares ​

Answers

Answer:

<1 : 36 degrees

<2 : 90 degrees

<3 : 36 degrees

<4 : 54 degrees

Step-by-step explanation:

First off, rhombus's have right angles formed at the middle, meaning that <2 is 90 degrees. Then, it's given that angle is 54 degrees, and its alternate interior angle is the one that is adjacent to <3. To find <1, add 90 and 54, and subtract that from 180. So <1 is 36 degrees. So that automatically makes < 3, 36 degrees and < 4, 54 degrees.

7. A rock is thrown with a height equation of h=-1612 20t 5 (where h is the height of the rock in feet at any given time of t in seconds). Will it reach a height of 30 feet? Explain your answer

Answers

Answer:

Since h(max) is less than 30 ft, it will never reach a height of 30ft

The maximum height it can reach is 11.25ft.

Step-by-step explanation:

Given;

The height equation of the rock;

h = -16t^2 +20t +5

To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;

dh/dt = 0

dh/dt = -32t +20 = 0

At Maximum height.

t = 20/32

We then substitute into the height equation.

h(max) = -16(20/32)^2 + 20(20/32) +5

h(max) = 11.25 ft

Since h(max) is less than 30 ft, it will never reach a height of 30ft

The maximum height it can reach is 11.25ft.

Answer:

There are no real solution to the equation [tex]h = -16t^2 +20t +5[/tex] when h = 35 ft.

Step-by-step explanation:

Here we have the equation for the height of the rock in ft given as

[tex]h = -16t^2 +20t +5[/tex]

For the rock to reach 30 ft we must have

[tex]30 = -16t^2 +20t +5[/tex]

That is [tex]0 = -16t^2 +20t +5 - 30 = -16t^2 +20t -25[/tex]

[tex]0 = -16t^2 +20t -25[/tex] or

[tex]16t^2 -20t +25 = 0[/tex]

From which it is observed that since the root of the equation is given by the quadratic formula

b² should be greater than 4·a·c  however

(-20)²[tex]\ngeqslant[/tex] (4×16×25)

Hence the equation has only imaginary roots.

The number of trees in a forest follows the logistic growth function , where t is the time in years. According to the growth model, how many trees will there be after 50 years? A. 14,285 b. 18,092 c. 20,874 d. 21,386

Answers

Answer:

D. 21,386

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"The number of trees in a forest follows the logistic growth function,

f(t) = 32000/1+12.8e^-0.065t where t is the time in years. According to the growth model, how many trees will there be after 50 years?"

Given the logistics growth function,

f(t) = 32000/1+12.8e^-0.065t

To calculate the number of trees that will be there after 50years, we will substitute the value of t = 50 into the function

f(50) = 32000/1+12.8e^-0.065(50)

f(50) = 32000/1+0.496

f(50) = 32000/1.496

f(50) = 21,385.94

f(50) = 21,386

Number of trees that will be there after 50years is 21,386years

A tangent line is a line that insersecta a circle at exactly two points.
true or false

Answers

Answer:

False

Step-by-step explanation:

Correct statement would be:

A tangent line is a line that insersects a circle at exactly one point.

It is false it is false

Five whole numbers are written in order
4 6 x y 10
The mean and median of the five numbers are the same.
Work out values of x and y.

Answers

Answer:

x=7

y=8

Step-by-step explanation:

-Given that the mean and median is the same.

-Let b=mean =median

#Given that the set is arranged in order and is even:

[tex]median=\frac{n+1}{2}\\\\Median=3^{rd} \ term\\\\=x[/tex]

Hence:

[tex]b=median=mean\\\\b=x\\\\\therefore mean=median=x[/tex]

-Applying the mean formula:

[tex]\bar x=\frac{1}{n}\sum{x_i}\\\\\therefore 5x=4+6+x+y+10\\\\4x=20+y\\\\x=5+0.25y[/tex]

#Since the number are in order:

[tex]6<x<y<10\\\\\#let\ x=7,y=8\\\#Substitute\\\\7=5+0.25(8)\\7=7\\\\[/tex]

Hence, x=7 and y=8

What are the period and amplitude of the function?
A - period: π ; amplitude: 4

B - period: π ; amplitude: 2

C - period: 2π ; amplitude: 4

D - period: 2π ; amplitude: 2

Answers

Final answer:

The amplitude of a wave is its maximum displacement from equilibrium and can be directly read from the equation as A, while the period is the time for one complete cycle, inversely related to frequency as T = 1/f. Given a frequency of 2.0 MHz, the period is 5.0 x 10⁻⁷ seconds, with the amplitude being 30 V/m.

Explanation:

The period and amplitude of a sinusoidal function can be determined from its formula or graph. For example, in the given context, if we are presented with a wave with an amplitude of 30 V/m and a frequency of 2.0 MHz, we can calculate the period. We know that the period (T) of a wave is the inverse of the frequency (f), so T = 1/f. Given the frequency of 2.0 MHz, or 2.0 x 106 Hz, the period T is 5.0 x 10-7 seconds (since 1 Hz = 1/s). The amplitude is the maximum displacement from the equilibrium position, in this case, 30 V/m. The amplitude is typically denoted by A in the wave equation y(x, t) = A sin(kx - wt + p), and the period can be derived from the angular frequency with T = 2π/ω.

For a physical representation, observing a wave plotted on a graph such as in Figure 24.8(b) or a given wave function, the amplitude is seen as the distance from the equilibrium position (center line) to the peak, and the period is the time it takes for one complete cycle of the wave. Understanding these concepts is crucial for analyzing waves whether in physics or mathematics.

what are the 5 perfect square numbers between 50 and 140

Answers

Answer:

64, 81, 100, 121 there are 4

Step-by-step explanation:

Answer:

heyyy there

Step-by-step explanation:64, 81, 100, 121, are the perfect square numbers between 50 and 140..

64=8*8

81=9*9

100=10*10

121=11*11

................12 *12 bcoms 144 so its not between 144

hope it helps

DIRECTIONS: Use this information to answer Parts A and B. Scientists measure temperature in degrees Celcius and in kelvin. A temperature in kelvin is 237.15 greater than the temperature in degrees Celcius. Question 1 Part A What is an equation that relates the temperature K, in kelvin, to the temperature C, in degrees Celsius?

Answers

The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.

K as the temperature in Kelvin,

C as the temperature in Celsius.

We're given that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. So, we can express this relationship as an equation:

[tex]\[ K = C + 237.15 \][/tex]

This equation shows that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature. Similarly, to convert from Kelvin to Celsius, you subtract 237.15.

Here's the equation:

[tex]\[ K = C + 237.15 \][/tex]

1. **Definition of Kelvin and Celsius Scales**:

  - Kelvin (K): Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature where particles cease to move. One Kelvin is equal in magnitude to one degree Celsius.

  - Celsius (C): Celsius is a temperature scale based on the freezing and boiling points of water, where 0 degrees Celsius represents the freezing point of water and 100 degrees Celsius represents the boiling point of water at standard atmospheric pressure

2. **Relationship between Kelvin and Celsius**:

  - To convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This adjustment is made because the Kelvin scale starts from absolute zero, which is -273.15 degrees Celsius.

3. **Given Relationship**:

  - The given information states that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. This means that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature.

  - We can express this relationship mathematically as [tex]\( K = C + 237.15 \).[/tex]

    - Here, [tex]\( K \)[/tex] represents the temperature in Kelvin, and  [tex]\( C \)[/tex]represents the temperature in degrees Celsius.

    - Adding 237.15 to the Celsius temperature converts it to Kelvin.

  - The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.

If you ignore the friction, the amount of time required for a box to slide down an inclined plane is √(2a/g•sin(theta)•cos(theta)), where a is the horizontal distance defined by the inclined plane, g is the acceleration due to gravity and theta is the angle of the inclined plane. For what values of theta is the expression undefined?
A. 0°
B. 90°
C. Both A and B
D. None

Answers

Given:

The time required for a box to slide down an inclined plane is

[tex]T = \sqrt{\frac{2a}{g(sin\theta cos\theta)} }[/tex]

where,

g be the,acceleration due to gravity.

[tex]\theta[/tex] be the inclined plane.

To find the value of [tex]\theta[/tex] for which the given expression is undefined.

Now,

T will be undefined if the denominator is 0.

⇒ [tex]g(sin \theta cos \theta) = 0[/tex]

or, [tex]sin\theta cos\theta = 0[/tex] [ g ≠ 0 it is a constant]

either [tex]sin\theta = 0[/tex] or [tex]cos\theta = 0[/tex]

For, [tex]sin\theta = 0[/tex] ⇒ [tex]\theta = 0^\circ[/tex]

Again,

For, [tex]cos\theta = 0[/tex] ⇒ [tex]\theta = 90^\circ[/tex]

Hence,

The expression will be undefined for the value of 0° and 90° of θ.

Option C.

Final answer:

Option(C). In the formula √(2a/g•sin(theta)•cos(theta)), the expression is undefined when theta=0° or 90°, since in these cases, sin(theta) or cos(theta) equal to zero respectively.

Explanation:

Consider the formula √(2a/g•sin(theta)•cos(theta)).

The expression in the root (√) is undefined when we divide by zero. Looking at the formula, we divide by the product of sin(theta) and cos(theta). For the expression to be undefined, one or both must be zero.

The values of theta that would cause this to happen are when theta=0°, sin(theta)=0 and when theta=90°, cos(theta)=0.

Therefore, the expression is undefined when theta is either 0° or 90°.

So, the answer is C. Both A and B.

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1. The triangle depicted by the drawing has an actual area of 36 square units. What is the scale of the drawing? (Note: Each square on the grid has a length of 1 unit.) What's the answer to this??

Answers

Answer:

the the scale of the drawing is 1/4

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

As we know that, the formula to find the are of a triangle is:

A = 1/2 b*h where:

b is the baseh is the height

From the photo, we can see that, the height is 3 units and the base is 6 units. So the area of the shaded triangle is:

A = 1/2 6*3 = 9 square units

Given that the triangle depicted by the drawing has an actual area of 36 square units. So the the scale of the drawing is:

area of the shaded triangle / the actual area

9 /36 = 1/4

Hope it will find you well.

what is the inerquartile range of 29, 30, 28, 32, 28, 31, 27

Answers

put them in order 27 28 28 29 30 31 32 Q1 is 28, Q2 is 29, Q3 is 31, interquartile range is Q3-Q1 if i’m not mistaken so the answer is 3

What is the combined weight of all the kittens? Weight of kittens: 1/4 pound: 2 kittens. 3/8 pound: 3 kittens. 1/2 pound: 3 kittens. 5/8 pound: 3 kittens

Answers

the average of wieght od the kittens in the slether?

PLEASE HELP! Alayna knows that the North Star, Polaris, is a pole star appearing stationary in the sky as Earth spins. She also knows that there is not a South Star. This piques her curiosity. She wants to figure out which star is closest to being the South Star.

By studying the night sky, she has determined that if the South Star existed it would be at the coordinates (-2,2) on her star chart (shown below).

Which star is closest to where the South Star would be, as shown on Alayna's star chart?

STAR A
STAR B
STAR C

The distance from that star to where the South Star would be is ____ units
Round the final answer to the nearest tenth of a unit. Do not round intermediate calculations.

Answers

Answer:

star a; 5.7 units

Step-by-step explanation:

I'll MARK AS BRAINLIEST!! PLZ HELP!! I GIVE 25 POINTS!!
graph: y= -1/4x+6

Answers

Answer:

Straight line joining (0,6) and (24,0)

Step-by-step explanation:

y = (-1/4)x + 6

Make a straight line passing through:

y = 0 + 6 = 6

(0,6)

And

0 = (-1/4)X + 6

-6 = -x/4

x = 24

(24,0)

sorry honey but i dot have a graph to you how but

all you do is  start at 6 positive and then mark a point one down and 4 to left and mark other point and then draw a line through it

Solve each equation and check.show all work

Answers

Answer:

p= 8

Step-by-step explanation:

1/2 p = 4

p = 2(4)

Answer:

p=8

Step-by-step explanation:

This will ake the problem 8/2 which is the same as 4.  

Thus, 8 is your answer.

Leave 5 stars if this helped.

Line segment SU is dilated to create S'U' using the dilation rule DQ,2.5.

What is the distance, x, between points U' and U?

Answers

Answer:

C ( 6 units

Step-by-step explanation:

just took the quiz

An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with length 16m, width 10m, and depth 5m. Suppose water is pumped into the pool at a rate of 40m3 per hour. How many hours does it take to fill the empty pool?

Answers

Answer:

it will take 20hrs to fill the pool

Answer:

It would take 20 hours to fill the pool.

Step-by-step explanation:

We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex],   [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].

Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 10 mice takes with a noise as stimulus. The sample mean is x = 16.5 seconds.The alternative hypothesis for the significance test is ________.a. [tex]H_a[/tex]:μ≠18b. [tex]H_a[/tex]:μ=16.5.c. [tex]H_a[/tex]:μ<18.

Answers

Answer:

Option c) [tex]H_a:\mu<18[/tex] is correctThe alternate hypothesis for the significance test is [tex]H_a:\mu<18[/tex]

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be [tex]\mu[/tex] and stadard deviation be [tex]\sigma[/tex]

The null hypothesis states that population value is equal to the value mentioned in the given claim.

[tex]H_0:\mu=18[/tex] (by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

[tex]H_a:\mu<18[/tex]

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.

∴ option c) [tex]H_a:\mu<18[/tex] is correct.

I NEED HELP SO BAD ON THIS QUESTION

Jane has three bottles that each hold 0.75 liters. She fills them with olive oil from a store that charges $0.21 for every 25 milliliters of oil.

How much does it cost Jane to fill her three bottles with olive oil?

Enter your answer in the box.

$

Answers

Answer:

$18.90

Step-by-step explanation:

Lets break this question down into smaller sections to make it easier:

There are 3 bottles

Each bottle can hold 0.75 liters

For every 25 milliliters she pays $0.21

With that information in mind, we notice that we need to convert liters to milliliters in order to get an accurate answer.

For every 1 liter = 1000 milliliters

So, we need to take 0.75 * 1000 = 750 milliliters per bottle

Next, we take 750 milliliters / 25 milliliters to find how many times we have to fill one bottle

Each bottle will take 30 times of 25 milliliters to fill the whole bottle

Now take 30 * $0.21 to find the cost of one bottle

One bottle = $6.30 to fill

Take $6.30 * 3 to find the total cost to fill ALL the bottles.

For a final result, we get $18.90 to fill all three bottles completely

Hope this Helps!

Answer:

it's 18.90

Step-by-step explanation

my friend told me it was 5.67 and for some reason i believed her but no i took the test and it's 18.90

what is the answer to 16x8

Answers

Answer is: 16x8 = 128

128
Explanation

6*8 = 48
Carry the 4
8*1 =8+4 gives u 12
128 is your answer

The 24 colleges of interest to a high school senior include 8 that are expensive​ (tuition more than​ $20,000 per​ year), 8 that are far from home​ (more than 200 miles​ away), and 5 that are both expensive and far from home.
A. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible?
B. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible?

Answers

Final answer:

For part A, the student has 13 colleges to choose from that are not expensive and near home. For part B, the total possible selections of two colleges is 156, considering the student won't attend the same college before and after the transfer.

Explanation:

The subject of this question pertains to probability and set theory, a branch of mathematics. We use the principle of inclusion and exclusion to solve the problem.

For part A. there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are far from home which means 24 - 8 = 16 are near. But remember, there are 5 colleges that are both expensive and far, hence these 5 colleges got subtracted twice. So, we need to add them back. The number of colleges that are not expensive and near home are 16 + 16 + 5 = 37. However, this goes beyond the total number of colleges, so we subtract 24 from it to get the correct count of 13.

For part B, the number of ways before transferring are the same as in part A, 13. The number of ways after transferring, there are total 24 colleges, 8 are expensive which means 24 - 8 = 16 are not expensive. Among 24 colleges, 8 are near which means 24 - 8 = 16 are far. Adding the count of not expensive and far gets us 16 + 16 = 32. Subtract the total number of colleges to get the correct figure 32 - 24 = 8. Nothing the student can't attend the same college before and after the transfer, so the count of total selections is 13 choices for the first selection multiplied by 12 choices for the second selection, getting us a total of 156 possible selections.

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What is the inverse of y=6^x?

Answers

Y=
ln
x
ln
6

Explanation:
Replace x with y and y with x,
x
=
6
y
and solve for y now
ln x= yln 6
y
=
ln
x
ln
6

For the function [tex]y=-2x^2+4x+1[/tex], what are the coordinates of the vertex?


Is it a maximum or minimum point?


Hint: consider using [tex]x=-b/2a[/tex]. Show all work algebraically

SERIOUS ANSWERS ONLY! NO SPAM!

Answers

[tex]x_0=\dfrac{-b}{2a} =\dfrac{-4}{2\times(-2)}=1\\y_0=-2\times1^2+4\times1+1=-2+4+1=3\\Answer: The\: vertex\: is \:(1;3). It's\:maximum\:point \:because \:a=-2<0[/tex]

Other Questions
Ampicillin is a bacteriostatic antibiotic. (Instead of killing bacteria, it inhibits their growth.) Ramon plated bacteria transformed with a plasmid that confers ampicillin resistance. He plated the bacteria on Thursday and left them in a 37 oC incubator overnight. On Friday, he observed moderately sized bacterial colonies. He decide to leave them in the incubator a little longer before picking the colonies that he wanted to work with further. Unfortunately, he forgot about the plate and left it in the incubator over the weekend. On Monday, his plate had large colonies that were each surrounded by very small colonies A) Interpret and explain Ramons observations. B) Predict what he will find when he picks some large and some small colonies and follows the plasmid isolation protocol for each of the colonies. Consider the line y=-=x+6.What is the slope of a line parallel to this line?What is the slope of a line perpendicular to this line? A chemistry student weighs out 0.120 g of acetic acid into a 250. mL volumetric flask and dilutes to the mark with distilled water. He plans to titrate the acid with 0.0700 M NaOH solution. Calculate the volume of solution the student will need to add to reach the equivalence point. Be sure your answer has the correct number of significant digits. The R.R. Bowker Company of New York collects data on annual subscription rates to periodicals. Results are published in Library Journal. In a recent independent study, it was found that 63% of all students at Mill University read Time magazine, 51% read U.S. News and World Report, and 24% read both magazines. If a student at Mill University is randomly selected, what is the probability that the student reads either the Time magazine or the U.S.News and World Report magazine? Step 1: Subtract 3 from both sides of the inequality.Step 2: __________Step 3: Divide both sides of the inequality by the coefficient of x.What is the missing step in solving the inequality 5 8x < 2x + 3?Add 2x to both sides of the inequality.Subtract 8x from both sides of the inequality.Subtract 2x from both sides of the inequality.Add 8x to both sides of the inequality. Simplify each expression.ln e3 = ln e2y = eln 1 = eln 5x = How much heat is lost when solid Al with a mass of 4110 g cools from 660.0 oC to 25.0 oC?(Specific Heat of Al is 0.902 J/g x oC) Which sentence is correct?A) A boy survives alone in the wilderness for more than a year in the book My Side of the Mountain.B) A boy survives alone in the wilderness for more than a year in the book My Side of the Mountain.C) A boy survives alone in the wilderness for more than a year in the book My Side of the Mountain.D) A boy survives alone in the wilderness for more than a year in the book My Side of the Mountain. The selection from Tales From the Odyssey is told like a short story, not a traditional epic. If it were a traditional epic, what would be true about it?A. It would be a long poem about heroes.B. It would be a made-up tale about a war.C. It would be a factual account of a historical event.D. It would be a series of poems about imaginary characters.50 points! And will mark brainiest An incandescent lightbulb is an inexpensive but highly inefficient device that converts electrical energy into light. It converts about 10 percent of the electrical energy it consumes into light while converting the remaining 90 percent into heat. The glass bulb of the lamp heats up very quickly as a result of absorbing all that heat and dissipating it to the surroundings by convection and radiation. Consider an 8-cm-diameter 60-W lightbulb in a room at 258C. The emissivity of the glass is 0.9. Assuming that 10 percent of the energy passes through the glass bulb as light with negligible absorption and the rest of the energy is absorbed and dissipated by the bulb itself by natural convection and radiation, determine the equilibrium temperature of the glass bulb. Assume the interior surfaces of the room to be at room temperature. i need the steps for 29 Suppose 20 donors come to a blood drive. Assume that the blood donors are not related in any way, so that we can consider them to be independent. The probability that a donor has type "O" blood is 0.06. What is the probability that 1 or more donors have type O blood? A. 0.370 B. 0.290 C. 0.630 D. 0.710 Select the term that completes each statement. When acetic acid is dissolved in water to make vinegar, acetic acid is the . When a small amount of carbon is dissolved in iron to make steel, the iron is the . When a small amount of hydrogen gas mixes with nitrogen gas, hydrogen is the . When carbon dioxide gas dissolves in water, water is the . When a small amount of solid iodine is mixed with ethanol, ethanol is the . A truck costs $ 52 comma 000 when new and has accumulated depreciation of $ 40 comma 000. Suppose John Towing exchanges the truck for a new truck. The new truck has a market value of $ 70 comma 000, and John pays cash of $ 44 comma 000. Assume the exchange has commercial substance. What is the result of this exchange? A. No gain or loss B. Gain of $ 14 comma 000 C. Gain of $ 58 comma 000 D. Loss of $ 14 comma 000 what will happen to the ratios as you increase the number of sides of the regular polygon? ax + 3x = bx + 5 solve for x Money A. facilitates specialization in production. B. is anything that is regularly used and generally accepted in economic transactions or exchanges. C. is anything the government declares to have value. D. is necessary to conduct economic transactions. Two friends, Pamela and Elaine, compared snack items they planned to enjoy during a work break. Pamela's snack was a small bag of shortbread cookies composed of 2.6 grams fat, 21 grams carbohydrates, and 2.1 grams protein. Elaine had a bag of popcorn composed of 2.9 grams fat, 31 grams carbohydrates, and 3.5 grams protein. Nutrient Fuel value (kJ/g):Carbohydrate 17, Fat 38, Carbs 17 (a) Using the fuel values provided, calculate the number of calories in each person's snack. Pamela's snack Cal Elaine's snack Cal (b) Suppose the friends took a 15-minute walk after snacking. If Pamela burned 43 calories and Elaine expended 48 calories, who had the smaller net gain of calories after snacking and walking? What might have happened had the Civil War notoccurred?A).The Confederacy would not have been formedB).Lincoln would not have been elected PresidentC).Slavery would never have existedD).States could drop out of the U.S. anytime they wished Andrea thinks that individual citizens, rather than the government, should answer the basic economic questions; however, she feels that the government should prevent large changes in the economy. Her ideas are based on which of these economists?Keyneskeatsjames jeans