Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?
A)1
B)0
C)-1
D)-2

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2
Final answer:

The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.

Explanation:

To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.

Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.

Reviewing the options:

A) 1 is a solution because it is greater than -1B) 0 is a solution because it is greater than -1C) -1 is not a solution because it is not greater than -1D) -2 is not a solution because it is not greater than -1

However, according to the question we need to find the number that is not a solution, so the answer is C) -1.

Learn more about Inequalities here:

https://brainly.com/question/30231017

#SPJ3


Related Questions

33-5y=8__
What is y?

Answers

Answer:

y=5

Step-by-step explanation:

33-5y=8

1) Subtract 33 from both sides

-5y=-25

2) Divide both sides by -5:

y=5

( I'm confused please answer fast )

There are 32 fish tanks in a pet store and no more than 18 fish in each tank. What is the greatest possible number of fish in the store?
( Please let me know )​

Answers

Answer:

Greatest possible number of fish = 576 fish.

Step-by-step explanation:

If there cannot be no more than 18 fish in each tank, then this means that the maximum amount of fish (or greatest amount of fish) is 18 PER tank (since it says "each").

With this knowledge, we can multiply 18 by 32 and we get 576 as our answer.

We are asked for the greatest possible number of fish, so what we have done here is used the information provided (with the maximum for each tank being 18 fish) and multiplied it by 32 to get 576 fish.

Answer:

576

Step-by-step explanation:

The MAXIMUM amount of fish per tank is detailed as 18, as there cannot be any more than it per tank.

We have 32 fish tanks in total, and if we wish to find the maximum fish capacity, simply multiply 32 by 18, and we will get our answer to be 576 fish!

Round the number 936,949 to the nearest hundred

Answers

The answer is 936,900

Factor this expression. x2 + 9x + 8 A. (x - 4)(x + 2) B. (x - 4)(x - 2) C. (x + 8)(x - 1) D. (x + 8)(x + 1)

Answers

Option D

Answer:

The factors of [tex]x^{2} + 9 x + 8[/tex] is (x + 8)(x +1)  

Solution:

From question, given that [tex]x^{2} + 9x + 8[/tex]

To factorise the given equation, follow the below steps:

9x can be rewritten as 8x + 1x. Hence the above given equation becomes,

[tex]x^{2} + 9x + 8 = x^{2} + 8x + 1x + 8[/tex]

Rearranging the terms, we get

[tex]= x^{2} + 1x + 8x + 8[/tex]

Taking x as common from first two terms and 8 as common from last two terms, the above equation becomes,

= x(x+1)+8(x+1)

Since (x +1) is common in both the terms, we get

= (x +1)(x+8)

Hence the factors of [tex]x^{2} + 9x + 8[/tex] is (x + 8)(x +1)  

Answer:

D

Step-by-step explanation:

It takes a boy 20 minutes to mow the lawn, but his sister can mow it in 60 minutes. How long would it take them to mow the lawn if they worked together, using two lawn mowers?

Answers

Answer:

40

Step-by-step explanation:

because am smart and i said so

Let f be the function defined by f(x)=ax^2+bx+2/2x^2−8, where a and b are constants. The graph of f has a horizontal asymptote at y=3, and f has a removable discontinuity at x=2. What is the value of b?

Answers

Answer:

The value of b is -13

Step-by-step explanation:

* Lets explain how to find a and b

- In any rational function f(x), if the degree of the denominator =

 the degree of the numerator, then there is a horizontal asymptote

 at y = coefficient of higher x of the numerator ÷ coefficient of higher

 x of the denominator

- Removable discontinuity means the numerator and denominator of

 the rational function have common factor will reduce when we

 simplify the fraction

- Discontinuity occurs when a number is both a zero of the numerator

 and denominator

 

* Lets solve the problem

∵ [tex]f(x)=\frac{ax^{2}+bx+2}{2x^{2}-8}[/tex]

∵ The degree of numerator and denominator is 2

∵ The coefficient of x² in the numerator is a

∵ The coefficient of x² in the denominator is 2

∴ The horizontal asymptote is at [tex]y=\frac{a}{2}[/tex]

∵ The graph of f has a horizontal asymptote at y = 3

∴ [tex]\frac{a}{2}=3[/tex]

- By using cross multiplication

a = 6

∴ [tex]f(x)=\frac{6x^{2}+bx+2}{2x^{2}-8}[/tex]

∵ The function f has a removable discontinuity at x = 2

∵ Discontinuity occurs when a number is both a zero of the numerator

  and denominator

∴ 2 is a zero of the numerator

∴ 6x² + bx + 2 = 0 at x = 2

- Substitute x by 2 to find b

∴ 6(2)² + b(2) + 2 = 0

∴ 6(4) + 2b + 2 = 0

∴ 24 + 2b + 2 = 0

∴ 26 + 2b = 0

- Subtract 26 from both sides

∴ 2b = -26

- Divide both sides by 2

b = -13

b = -13

Step-by-step explanation:

Given :

[tex]\rm f(x) = \dfrac{ax^2+bx+2}{2x^2-8}[/tex]   ----- (1)

The graph of f has a horizontal asymptote at y = 3 and f has a removable discontinuity at x = 2.

Solution :

Horizontal assymptote is

[tex]y = \dfrac{a}{2}[/tex]

because in equation (1) coefficient of [tex]x^2[/tex] is 'a' is in numerator and '2' is in denomenator.

So,

a = 6

Now equation (1) becomes,

[tex]\rm f(x) = \dfrac{6x^2+bx+2}{2x^2-8}[/tex]   ------ (2)

Given that discontinuity at x = 2, so denomenator of equation (2) is zero at x = 2. Therefore

[tex]\rm 6x^2 + bx + 2 = 0[/tex]

[tex]6(2^2) + 2b +2 = 0[/tex]

-26 = 2b

b = -13

For more information, refer the link given below

https://brainly.com/question/22421166?referrer=searchResults

The growth rate for the number of registered users on a popular new
website is 15% per week. Initially, 50 people are registered on the
website. How many people are registered after 4 weeks? Round
your answer to the nearest whole number.

Answers

Answer:

I would say 3000

Step-by-step explanation:

Final answer:

To calculate how many people are registered after 4 weeks, apply the formula for exponential growth using the initial 50 users and the 15% weekly growth rate, which gives us 87 registered users after rounding to the nearest whole number.

Explanation:

The process of calculating the number of registered users after 4 weeks with a weekly growth rate of 15% involves using the formula for exponential growth. You start with the initial number of users which is 50 and multiply this by 1 plus the growth rate raised to the power of the number of time periods, which in this case is 4 weeks.

The equation to calculate the number of users after 4 weeks will be 50 × [tex](1.15)^4[/tex].

Now we calculate: 50 × [tex](1.15)^4[/tex] = 50 × 1.749 = 87.45, which when rounded to the nearest whole number is 87 registered users.

Is this a function why or why not?

Answers

Yes, it is a function because each input has only one output.

Hope it helps!

What is 5.4e+6 in numbers?

Answers

Answer:

5,400,000

Step-by-step explanation:

E+ simply means "to the power of" So your question is 5.4*10^6 which would turn out as 5,400,000

Hope this helps!!!

Brady

Cartridge Price Printed Pages
Cartridge A $36.00 300
Cartridge B $67.50 450
Cartridge C $70.00 500
Cartridge D $66.00 600
Cartridge E $84.50 650

The prices of several inkjet cartridges and an estimate for the number of pages each will print are shown in the table. Based on the unit price per page, how much more will it cost to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge?
A) 4¢
B) 7¢
C) 8¢
D) 10¢

Answers

Answer:

It will cost 4 cents to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge .

Step-by-step explanation:

Cartridge           Price            Printed Pages

Cartridge A        $36.00              300

Cartridge B        $67.50               450

Cartridge C        $70.00              500

Cartridge D        $66.00              600

Cartridge E        $84.50              650

Cost of printing 300 pages with Cartridge A = $36

Cost of printing 1 page with Cartridge A = [tex]\frac{36}{300}=0.12[/tex]

Cost of printing 450 pages with Cartridge B = $67.50

Cost of printing 1 page with Cartridge B=  [tex]\frac{67.50}{450}=0.15[/tex]

Cost of printing 500 pages with Cartridge C = $70

Cost of printing 1 page with Cartridge C =  [tex]\frac{70}{500}=0.14[/tex]

Cost of printing 600 pages with Cartridge D = $66

Cost of printing 1 page with Cartridge D =  [tex]\frac{66}{600}=0.11[/tex]

Cost of printing 650 pages with Cartridge D = $84.50

Cost of printing 1 page with Cartridge D =  [tex]\frac{84.50}{650}=0.13[/tex]

Based on the unit price per page most expensive cartridge B and least expensive cartridge is Cartridge D.

So, Difference between the unit price of most expensive cartridge B and least expensive cartridge is Cartridge D = $0.15-$0.11 = $0.04

$1 = 100 cents

$0.04 = 4 cents

Hence it will cost 4 cents to print a page using the MOST EXPENSIVE cartridge than using the LEAST EXPENSIVE cartridge .

Use distributive property to rewrite 7(13+12)

Answers

Answer:

175

Step-by-step explanation:

7(13+12)

distribute 7 to 13 and 12

(91+84)

175

By distributive property the expression 7(13 + 12) can be rewritten as 175.

To rewrite the expression 7(13 + 12) using the distributive property, we multiply 7 by each term inside the parentheses:

7(13 + 12) = 7 × 13 + 7 × 12

This simplifies to:

91 + 84

Adding the two terms, we get:

175

Therefore, using the distributive property, 7(13 + 12) can be rewritten as 175.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6


Help me please and thank you

Answers

Answer:.964

Step-by-step explanation:

63/8=7 r7 incorrect or correct

Answers

Answer:

CORRECT

Step-by-step explanation:

[tex]\dfrac{63}{8}=\dfrac{56+7}{8}=\dfrac{56}{8}+\dfrac{7}{8}=7+\dfrac{7}{8}\to\dfrac{63}{8}=7+r7[/tex]

or use the long division (look at the picture).

The graph of a Function F is shown below. find F (0).​

Answers

Final answer:

To find F(0) from a graph, you must locate the point where x equals 0 and read the corresponding y-coordinate for F(x). If the graph shows a flat, zero-slope line, then the value of F(x) would be the same for all x, including F(0).

Explanation:

From the given question, we are asked to find what the function F equals when x=0. This is indicated on the graph by locating the point where x=0 and reading the corresponding y coordinate. If the graph of the function is a straight line with zero slope, this indicates no relationship between x and y. To illustrate, let's assume the graph for F(x) is a line that is flat, that is, it shows zero rise over the run, where the slope is zero. This means for all x values, F(x) will be the same constant. Thus, in this case, F(0) would be equal to this same constant.

Learn more about Functions and Graphs here:

https://brainly.com/question/40116062

#SPJ12

Based on the graph of this function f(x), the output value for f(0) is given by;

f(0) = -2.

What is y-intercept?

In Mathematics and Geometry, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear equation or function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the graph shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept and x-intercept:

y-intercept = (0, -2)

x-intercept = (-4, 0).

Therefore, y is -2 when the value of x is 0;

f(0) = -2.

In conclusion, the graph of this linear function does not represent a proportional relationship.

Read more on y-intercept here: brainly.com/question/28351981

#SPJ2

Missing information:

The question is incomplete and the missing graph is shown in the attached picture.

Use the graph to determine the following.

Answers

Answer:

Step-by-step explanation:

(a) A graph's domain is the set of X values that can be provided to the graph. Based on the picture, we can provide any values to the graph, so the domain is (-∞, ∞)

(b) A graph's range is the set of Y values that can be returned from the graph. Based on the picture, the graph can not return any value lower than 1, so the range is [1, ∞)

(c) The X-intercept is where the graph crosses the X-axis (or the horizontal line where Y = 0). The graph doesn't cross the X-axis, so there are no X-intercepts.

(d) The Y-intercept is where the graph crosses the Y-axis (or the vertical line where X = 0). The graph crosses the Y-axis at Y = 5, so a Y-intercept is (0, 5).

(e) f(1) is the Y value where X = 1, which is 4. f(5) is the Y value where X = 5, which is 2.

The graph represents a quadratic function. The vertex can be found using x = -b/2a. To find the x-intercepts or zeros, set the function equal to zero. The y-intercept can be found by substituting x = 0.

The graph represents a quadratic function because the shape of the graph is a parabola. A quadratic function is a polynomial function of degree 2. In this case, the vertex of the parabola can be found by using the equation x = -b/2a, where a and b are the coefficients of the quadratic function. The vertex is an important point on the graph as it represents the maximum or minimum value of the function.

To find the x-intercepts or zeros of the function, set the function equal to zero and solve for x. The x-intercepts are the points where the graph crosses the x-axis. To find the y-intercept, substitute x = 0 into the function and solve for y. The y-intercept is the point where the graph crosses the y-axis.

Learn more about Quadratic functions here:

https://brainly.com/question/35505962

#SPJ2

How many 10,000 in a million?

Answers

Answer:

Step-by-step explanation:

100, ten thousands in 1 million.  

1,000,000 divided by 10,000

So we know that we have to find how much 10,000 are in a million

To find this answer, divide 1,000,000= 1 million with 10,000 to find how much 10,000 are in a million.

1,000,000 divide 10,000= 100.

So 100 is how much 10,000 are in a million.

Final result: 100.

Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?

Select the correct answer.

A. 0.75x = 0.8(x + 10)
B. 0.75(x + 10) + 0.8x = 101
C. 0.75x + 0.8x + 10 = 101
D. 0.75x + 0.8(x + 10) = 101

Answers

Answer:

its d trust me

Step-by-step explanation:

Answer:

0.75x + 0.8(x + 10) = 101

Step-by-step explanation:

Write an expression to represent the number of shots each one made.

Jared attempted x shots and made 75% of them, or 0.75x.

Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10).

Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:

0.75x + 0.8(x + 10) = 101.

How do I solve the expression -4d+3 d if =-1

Answers

Answer:The answer would be -1

Step-by-step explanation:

First insert the -1 into the equation which would look like this -4(-1)+3 which is then multiplication which would narrow the solution down to -4+3 which a negative plus a positive is a rule called you always subtract and the number with the bigger value determines what sign you use so in this equation it would be 4 since 4 is bigger than 3 which 4-3 equals 1 so then carry the negative sign down with you and that would get you your answer of -1

Which pipe configuration can deliver more water to
residents, one 8-cm pipe or two 4-cm pipes? Show your
work and explain your reasoning.
4 cm
8 cm
4 cm

Answers

Answer: One 8-cm pipe (Its is greater than the total area of of two 4-cm pipes)

Step-by-step explanation:

The area of a circle can be calculate with this formula:

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

We need to calculate the area of 8-cm pipe. In this case:

[tex]r=8cm[/tex]

Then, substituting the radius into the formula, we get:

[tex]A=\pi (8cm)^2\\\\A=201.06cm^2[/tex]

Now we must calculate the area of the two 4-cm pipes.

Since they are two pipes, the formula is:

[tex]A=2\pi r^2[/tex]

In this case:

[tex]r=4cm[/tex]

Then, substituting into the formula, we get:

[tex]A=2\pi (4cm)^2\\\\A=100.53cm^2[/tex]

Therefore, since the area of one 8-cm pipe is greater than the total area of of two 4-cm pipes, we conclude that the pipe configuration that can deliver more water to residents is:

One 8-cm pipe

I need help with 9 And 10

Answers

Answer: for question # 9 , the value of X is 9

Step-by-step explanation:

2x+5=x+14 , then you subtract 5 on each side , leaving you with , 2x=x+9 , and you subtract x on both sides , leaving you with x=9

Answer: 9 : x=9

Step-by-step explanation: 2x + 5 + x +14 so then -x on both sides so x+5=14 then -5 on both sides so x=9

an the other one I dunno sorry

help me pls OMGGGGGG

Answers

Answer:

0

Step-by-step explanation:

[tex] \sqrt{2 \times 5 \times 5 } - \sqrt{2 \times 3 \times 3} - \sqrt{2 \times 2 \times 2} \\ 5 \sqrt{2} - 3 \sqrt{2} - 2 \sqrt{2} \\ (5 - 3 - 2) \sqrt{2} \\ 0 \times \ \sqrt{2} \\ 0[/tex]

Answer:

Example 1: 4√2; 1. 3√5 + 2

Step-by-step explanation:

1. √¼ + √9⁄4 - √45

½ + 1½ + 35 = 3√5 + 2

Example 1: √50 - √18 + √8

52 - 32 + 22 = 4√2

So, the way this works is to find two factors where one of them is a non-perfect square and the other is a perfect square. You factor out the POSITIVE root and leave the non-perfect square factor inside the radical.

I am joyous to assist you anytime.

PLEASE HELP!!!
The question is above^ or below I don’t know lol

Answers

Answer:

C I think

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees. So, we have 71 degrees. Subtract 180-71= 109. That is how I figured it out. Forgive me in advance if it is wrong.

Hope this helps!!!

Brady

Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the
weight and price of deli purchases.

Which weight could be a value seen on the scale?
A 1.1 pounds
B. 2.582 pounds
C 1.34 pounds
D. 2 pounds 5 ounces

Answers

C. Might be it because its makes sense.

Answer:

Option C is the answer.

Step-by-step explanation:

The deli uses a scale shown in the picture has a monitor showing three digits.

It is showing a number with two decimal places.

It is obvious that any measurement we do will be reflected on the monitor as

1 : 32, 5 : 00.

A). 1.1 pounds will not be the answer because it has only one decimal place.

B). 2.582 pounds is not correct because it has three decimal places.

C). 1.34 pounds is the correct option because it has two decimal places.

D). 2 pounds 5 ounces is incorrect because it has no decimal.

Use the Distributive Property and mental math to find the product. 5(8.9) 40.5 44.5 40 45

Answers

5*8=40
5*0.9=4.5

40+4.5=44.5

To use the distributive property and mental math to find 5 times 8.9, break down 8.9 into 8 and 0.9, multiply each by 5, and sum the products to get 44.5.

The solution obtained is,

To find the product of 5 and 8.9 using the distributive property and mental math, we can break down 8.9 into 8 and 0.9 for easier multiplication. Thus, 5(8 + 0.9) = (5 × 8) + (5 ×0.9). Calculating each part separately, we get 40 and 4.5. Finally, by adding these two products together, we find that 5(8.9) equals 40 + 4.5, which is 44.5.

3,486÷ 2=n
please show work so I can understand it ​

Answers

Hello!

3,486 / 2 = n

n = 1743

work:

you simply divide 3,486 by 2

if you divide each number by two (right to left)

6 / 2 = 3

8 / 2 = 4

4 / 2 = 2

3 / 2 = 1.5

since there is a decimal in this, multiply it by 10 and add it to the number before. this number will go on the right side of the total

1.5 * 10 =15

15 + 2 = 17

17 4 3 are the final numbers in order. put them together and you have 1743

(this is my personal way of doing it, but there are plenty more ways to do it)

I hope this helps, and have a nice day!


There are 20 tiles in a bag. Of these, 9 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a black tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?

Answers

Probability of drawing two tiles from the bag one after the other and not replaced that is P(B/A) is equals to 5/19.

What is probability?

" Probability is defined as the ratio of number of favorable outcomes to the total number of outcomes."

here, we have,

Formula used

Conditional probability ' P(B/A)' = P(A∩B) / P(A)

According to the question,

Total number of tiles = 20

Number of while tiles  represented by 'A' = 6

Number of black tiles represented by 'B' = 5

Number of purple tiles= 9

Total number of outcomes = 20 × 19

                                             = 380

Favorable outcome for A = 6 × 19

                                           = 114

Favorable outcomes for A∩B = 6 × 5

                                                  = 30

Probability of A

'P(A)' = 114/380 = 57/190

Probability of A∩B

'P(A∩B)' = 30/380 = 15/190

Substitute the value in the conditional probability we get,

Probability for P(B/A) = 15/190 / 57/190

                                    = 15/57

                                    = 5/19

Hence, Option(B) is the correct answer.

Learn more about probability here

brainly.com/question/11234923

#SPJ3

Jeff’s dog weighs 76 pounds. What is the dog’s weight rounded to the nearest ten pounds?

Answers

Answer:

80

Explanation:

The dogs weight rounded to the nearest ten pounds would be 80 because 76 rounded to the nearest tenth is 80. The reson why is because the 6 in the ones place is greater than 5 so you round up. Because 76 was the orignial number, and you're trying to round to the neares ten pounds, you round the 7 up because that is the number in the tenths place.

Answer:

80 pounds.

Step-by-step explanation:

The dog weighs 76 pounds.

The units value is 6 . Since we round up the tens place when the unit is equal or greater than 5 the answer is 80.

3, 15, 27, 39, ...
Describe the rule for the sequence.

Answers

Answer: The sequence is to add 12 to each new term.

Step-by-step explanation: The Best way to solve these type of questions is to quests and check. For example, one may notice 3 can be multiplied by 5 to get 15. However, 15 times 5 is 75, not 27, so the rule of multiply by 5 is not correct. Then, you may guess that the rule is to add some number to get the next. One may then notice that it is increasing by 12 each time.

Final answer:

The sequence provided is an arithmetic sequence where each subsequent number is 12 more than the previous one.

Explanation:

The sequence described in your question: 3, 15, 27, 39,... follows a rule of addition. Specifically, each subsequent number in the sequence is 12 more than the preceding number. For instance, 15 is 12 more than 3, 27 is 12 more than 15, and 39 is 12 more than 27, and so on. This sequence can be described as an arithmetic sequence with a common difference of 12.

The rule for the given sequence is that each term is obtained by adding 12 to the previous term.

3 + 12 = 15

15 + 12 = 27

27 + 12 = 39

SEO Keywords: sequence, rule, term, adding, previous

Learn more about Arithmetic Sequence here:

https://brainly.com/question/32830972

#SPJ2

List 2 common multiples of 2 , 5

Answers

Answer:

2: 2, 4, 6, 8, 10

5: 5, 10

lcm: 10

Answer:10 and 20

Step-by-step explanation:

2 times 5 is 10 and 2 times 10 is 20 and 5 times 4 is 20

Factor the trinomial (
If the expression is not a factorable using integers enter prime)

A^+4a+12

Answers

Answer:

Prime.

Step-by-step explanation:

A^2+4a+12

Not factorable.

Other Questions
Over and over again I have found myself asking: "Who worships here? Who is their God? Where were their voices when the lips of Governor Barnett dripped with words of interposition and nullification? Where were their voices of support when tired, bruised, and weary Negro men and women decided to rise from the dark dungeons of complacency to the bright hills of creative protest?"Type of Figurative Language:Meaning of Figurative Language:Effect on Tone and Mood:Effect on Audience: help asap ( will give brainliest ) The hypotenuse of a right triangle is 17. The lengths of the two legs are whole numbers. What are they? 7. A city has a population of 2,549,786 people.Estimate this population to the nearest million.Express your answer as the product of a singledigit and a power of 10.Rounded to the nearest million, the populationis aboutWritten as the product of a single digit anda power of ten, this number isx 10 A fight breaks out on a high school campus. Even though one student is hurt and obviously needs medical attention, no one in the crowd makes an effort to assist him. Psychologists would explain an individual's reluctance to help when others are present as ________. Mary is n years old. What expression represents her age 5 years from now? 5 years ago? A pendulum on Earth has a period of 1.2 seconds. The same pendulum on Mercury (dark side) has a period of 1.95 seconds. What is the free-fall acceleration of Mercury (in m/s^2) Alpha has $40,000 of capital per worker, while Beta has $5,000 of capital per worker. According to the principle of diminishing returns to capital, an additional unit of capital will increase output ____ in Alpha compared to Beta, holding other factors constant. A. more B. less C. not at all D. by the same amount To provide the pulse of energy needed for an intense bass, some car stereo systems add capacitors. One system uses a 2.4F capacitor charged to 24 V, double the normal 12 V provided by the car's battery. How much energy does the capacitor store at 12 V? How much energy does the capacitor store at 24 V? When a 2-kg block is suspended from a spring, the spring is stretched a distance of 20 mm. Determine the natural frequency and the period of vibration for a 0.5-kg block attached to the same spring Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 800 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 8 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value. (Round your answer to one decimal place.) are 5(8y - 8) and 40y - 40 equal? Help! Simplify (see photo) pls explainIf you dont know pls dont answer thanks A 1L solution containing 25,000 units of heparin must run at 30mL/hr. How much heparin is administered per hour? The area of a square poster is 50 in.2. Find the length of one side of the poster to the nearetenth of an inch.The length of one side of the poster is in.(Round to the nearest tenth as needed.) Would this be c................. 1. Describe a mandolin. Describe its appearance, its construction, its sound, and how it is used musically. The speed you compute by dividing your car's mileage by the time of travel is the ______ speed of the car, whereas the speed your speedometer reads is the car's ________speed. Tabitha is considering a position as a nurse practitioner. Based on the graph, what can she learn about her career outlook?A. The job growth rate for nurse practitioners is about the same as the national average for employment growth. B. There will be a growing demand for nurse practitioners in the coming years. C. Tabitha is going to have a difficult time finding employment openings throughout the country. D. Tabitha should reconsider her decision to be a nurse practitioner because there will be more jobs available in most other fields. Describe the variable Yr_Built. Choose the correct answer below. A. The variable Yr_Built is quantitative, with units years. B. The variable Yr_Built is an identifier variable. C. The variable Yr_Built is categorical and ordinal. D. The variable Yr_Built is categorical and nominal.