A number k minus 8.4 is greater than 21.​

Answers

Answer 1
k= 12.6 is the answer
Answer 2

Answer:

30.4

Step-by-step explanation:

30.4-8.4=22


Related Questions

Which equation can be used to find 40 percent of 25?

Answers

Answer:

a=40% · 25

a=0.40 · 25

0.40 · 25= 10

a=10

Step-by-step explanation:

Answer:

Would be 25/10

Step-by-step explanation:

What is the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3?

Answers

Answer:

-10 + 9x - 8

Step-by-step explanation:

4x2 + 7x - 5 subtracted from

9x2 -2x + 3

8 + 7x - 5

18 - 2x + 3

(8-18) (+7x - -2x) (-5 - +3)

-10 ( +7x +2x) (-5-3)

-10 + 9x -8

Final answer:

The result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3 is found by adding the additive inverse of each term in the polynomial being subtracted. Result is: 5x2 - 9x + 8.

Explanation:

Subtraction of Polynomials:

To find the result when 4x2 + 7x − 5 is subtracted from 9x2 − 2x + 3, first remember that subtraction of polynomials is equivalent to adding the additive inverse of each term in the polynomial being subtracted.

The inverse of 4x2 is -4x2The inverse of 7x is -7x and,The inverse of -5 is +5

So, 4x2 + 7x − 5 becomes -4x2 - 7x + 5. We then add this to 9x2 − 2x + 3 term by term.

The final result is: (9x2 + -4x2) + (-2x - 7x) + (3 + 5) = 5x2 - 9x + 8

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solve y= 2/3x +7 and 3y= 2x -3

Answers

Answer:

The system has no solution

Step-by-step explanation:

we have

[tex]y=\frac{2}{3}x+7[/tex] ----> equation A

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

Isolate the variable y

Divide by 3 both sides

[tex]y=\frac{2}{3}x-1[/tex] ------> equation B

Compare equation A and equation B

Both lines have the same slope and different y-intercept

so

Line A and Line B are parallel lines

The lines do not intersect

therefore

The system has no solution, because both lines are parallel

see the attached figure to better understand the problem

distributive property to simplify 64-16

Answers

Final answer:

The expression 64-16 simplifies to 48, and does not need the distributive property for simplification as it is a straightforward subtraction.

Explanation:

The question is asking to use the distributive property to simplify the expression 64-16. While this expression doesn't necessarily require the distributive property as it's a simple subtraction, sometimes in mathematics we leverage distributive properties or other algebraic rules to simplify or reorganize expressions. However, if we have a closer look at the provided reference information, none of it relates directly to the expression 64-16, which simplifies to 48. Therefore, there's no need to apply the distributive property here; the expression is already in its simplest form.

Circle assignment! THANKS so much its worth so much of my grade

Answers

Answer:

1. B) Figure B.

2. C) Figure C.

3. D) Figure D.

4. C) Figure C.

Step-by-step explanation:

Given: Radius of Circle A= 4

           Radius of Circle B= 5

           Radius of circle C= 6

           Radius of circle D= 7

Now, finding circumference and area of all the circle.

We know, circumference of circle= [tex]2\pi r[/tex]

Area of circle= [tex]\pi r^{2}[/tex]

Where, r= radius of circle and π = 3.14

First, solving for figure A

Circumference= [tex]2\times 3.14\times 4= 25.12\ cm[/tex]

Area= [tex]3.14\times 4^{2} = 50.24\ cm^{2}[/tex]

Solving for Figure B

Circumference= [tex]2\times 3.14\times 6= 31.4\ cm[/tex]

Area= [tex]3.14\times 5^{2} = 78.5\ cm^{2}[/tex]

Solving for Figure C

Circumference= [tex]2\times 3.14\times 6= 37.68\ cm[/tex]

Area= [tex]3.14\times 6^{2} = 113.04\ cm^{2}[/tex]

Solving for Figure D

Circumference= [tex]2\times 3.14\times 7= 43.96\ cm[/tex]

Area= [tex]3.14\times 7^{2} = 153.86\ cm^{2}[/tex]

∴ 1. Answer is Figure B.

   2. Answer is figure C.

   3. Answer is Figure D

   4. Answer is Figure C.

Rosa enlarged an image on the copy machine. The actual measurement was 3.6 inches by 6 inches. The enlarged version is 6 inches by another measurement. What is the length of the new image?

Answers

Answer:

10

Step-by-step explanation

6/3.6=1.6 or 1 2/3

1.6*6=10

Answer:Start by enlarging the picture 2 inches by 3 inches up to 150%. This leads to a 3 inch by 4.5 inch picture. Eduardo wants to enlarge the picture to 4 inches by 6 inches. 4/3 = 1.33 6/4.5= 1.33 Therefore, the two whole number percents are 150% and 133%.

helpppppppppppppppppp

Answers

Answer:

[tex]13 \frac{1}{8} + 21 \frac{3}{4} = 13 \frac{1}{8} + 21 \frac{6}{8} = 34 \frac{7}{8} [/tex]

[tex]35 \frac{1}{2} - 34 \frac{7}{8} = 35 \frac{4}{8} - 34 \frac{7}{8} = 34 \frac{12}{8} - 34 \frac{7}{8} = \frac{5}{8} [/tex]

The correct answer is C.

two friends are taking an English class that has a monthly reading list once a student chooses a book from the list no other student can choose that book if there are three mystery and four romance books left what is the probability that both friend randomly selected romance book one after the other?

Answers

Answer:

To find the probability that both friends randomly select a romance book one after the other, we can use the concept of conditional probability.

Let's denote the events:

- Event A: First friend selects a romance book.

- Event B: Second friend selects a romance book.

Given that there are 4 romance books left and a total of 7 books left (3 mystery + 4 romance), the probability of Event A happening for the first friend is:

\[ P(A) = \frac{4}{7} \]

After the first friend selects a romance book, there are now 3 romance books left out of a total of 6 books remaining (since one book has been chosen). So, the probability of Event B happening for the second friend, given that the first friend selected a romance book, is:

\[ P(B|A) = \frac{3}{6} = \frac{1}{2} \]

Now, to find the probability of both events happening, we multiply their probabilities:

\[ P(A \text{ and } B) = P(A) \times P(B|A) \]

\[ P(A \text{ and } B) = \frac{4}{7} \times \frac{1}{2} \]

\[ P(A \text{ and } B) = \frac{4}{14} \]

\[ P(A \text{ and } B) = \frac{2}{7} \]

So, the probability that both friends randomly select a romance book one after the other is \( \frac{2}{7} \).

Enzo is making a scale drawing of the rectangle below. A rectangle has a length of 8 centimeters and width of 5 centimeters. Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct? Enzo is correct because he used a factor of 2 to enlarge the rectangle. Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension. Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters. Enzo is not correct because he did not multiply the length and width by the same factor.

Answers

Answer:

Enzo is not correct bc he did not multiply the length and width by the same factor

Hopes that helped:P

Answer:

the answer is d

Step-by-step explanation:

like this if you like anime

Which of the following is an even function?
f(x) = |x|
f(x) = x3 – 1
f(x) = –3x
f (x) = RootIndex 3 StartRoot x EndRoot

Answers

Answer: f(x) = |x|

Step-by-step explanation:

A function is even if for every real N, f(N) = f(-N)

As you know, the module of a function always returns the positive value of a number, so I-3I = 3 = I3I (and that for every number)

So the function f(x) = IxI is an even function.

Functions with odd powers can not be even functions, so the second and tird options are discarded.

the fourth functions seems to be:

f(x) =∛x = (x)1/3 which is not even, because if x = 1, f(1) = 1, and if x=-1, f(-1) = -1

In the given functions, an even function is [tex]f(x)=|x|[/tex]. Therefore, the correct answer is option A.

A function's even, odd, or neither properties can be expressed algebraically or graphically in a variety of ways. If a function's graph remains unchanged when reflected in the y-axis, it is said to be an even function. Consider a function f(x) that is considered an even function if f(-x) equals f(x).

1) [tex]f(x)=|x|[/tex]

Let [tex]x = -3[/tex], we get

[tex]f(-3)=|-3|[/tex]

[tex]f(-3)=3[/tex]

[tex]f(-x)= f(x)[/tex]

2) [tex]f(x)=x^3-1[/tex]

Let [tex]x = -1[/tex], we get

[tex]f(-1)=(-1)^3-1[/tex]

[tex]f(-1)=-1-1[/tex]

[tex]f(-1)=-2[/tex]

[tex]f(-x)\neq f(x)[/tex]

3) [tex]f(x)=-3x[/tex]

Let [tex]x = -1[/tex], we get

[tex]f(-1)=-3(-1)[/tex]

[tex]f(-1)=3[/tex]

[tex]f(-x)\neq f(x)[/tex]

4) [tex]f(x)=\sqrt[3]{x}[/tex]

Let [tex]x = -1[/tex], we get

[tex]f(-1)=\sqrt[3]{(-1)}[/tex]

[tex]f(-x)\neq f(x)[/tex]

Therefore, the correct answer is option A.

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The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today? A. 0.15x + 150 ≥ 450 B. 150 – 0.15x ≥ 450 C. 450 – 0.15x ≥ 150 D. 0.15x – 450 ≥ 15

Answers

The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today ⇒ A

Step-by-step explanation:

The given is:

The computer store pays its employees $150 per day plus a commission of 15% of their salesTeagan wants to make at least $450 today

We need to find which equation will help Teagan to determine how much he has to sell today

Assume that he has to sell by $x today

∵ The store pays $150 per day plus a commission of 15%

   of their sales

∵ Teagan's total sales = x

- Multiply 15% by x, then add the product by 150

∴ Teagan makes = 15% × x + 150

∵ 15% × x = [tex]\frac{15}{100}[/tex] × x = 0.15 x

∴ Teagan makes = 0.15 x + 150

∵ Teagan wants to make at least $450 today

- At least means ≥

∴ Teagan makes ≥ 450

- Substitute Teagan makes by 0.15 x + 150

∴ 0.15 x + 150 ≥ 450

The equation 0.15 x + 150 ≥ 450 will help Teagan determine how much he has to sell today

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Answer:

you mean A

Step-by-step explanation:

what is 1.498 divived by 30. plz show your work.

Answers

Answer:

[tex]0.0749[/tex]

Step-by-step explanation:

[tex]1.498/30[/tex]

To divide the form directly in fraction divide the numerator and denominator by a common number to simplify the values.

Simplifying the value  

    Removing the decimal in the numerator makes 1000 in denominator

                                               [tex]\frac{1498}{30}*\frac{1}{1000}[/tex]

dividing by a common value i.e 2                            

                                         [tex]\frac{749}{10}*\frac{1}{1000}[/tex]

Now, removing the decimals from denominator puts the decimal in the numerator gives   [tex]0.0749[/tex]

Answer:

1.498 divided by 30 equals 749/15000 OR 0.04993

Step-by-step explanation:

Simply divide as you would a whole number, but place the decimal point above in your answer. So, your first step would be to calculate how many times 30 goes into 149. Your answer will go two places AFTER your decimal point. Then you continue to solve, as you would a whole number!

Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.

How many cookies did he bake on the second day?

Answers

Final answer:

To find the number of cookies Hans baked on the second day, we solve the equation x + 2x + x/2 = 224, where x is the number of cookies baked on the first day. Solving this, we find x=64, meaning he baked 128 cookies on the second day.

Explanation:

The question involves solving a problem about Hans, who spent three days baking a total of 224 cookies. On the second day, he baked twice as many cookies as on the first day, and on the third day, he baked half as many as on the first day. To find how many cookies he baked on the second day, let's denote the number of cookies baked on the first day as x.

On the second day, he baked 2x cookies.

On the third day, he baked x/2 cookies.

Adding these together: x + 2x + x/2 = 224.

Combining like terms, we get 3.5x = 224.

Dividing both sides by 3.5 gives x = 64.

Therefore, he baked 2x = 2*64 = 128 cookies on the second day.

Reid and Maria both play soccer. This season Reid scores 4 less than twice the number of goals that Maria scored the difference in the number of goals they scored was 6 how many goals did each of them score.

Answers

Answer: Reid scored 1 and Maria scored 5.

Step-by-step explanation:

5 x 2 = 10

10-4= 6

5 + 1 = 6

PLZ HELP!!! I need the answer by tomorrow. I will give points cuz I don't know how to mark the brainliest.

Answers

Answer:

U'(-5, -2), V'(-3, -1), W'(-3, 3), Z'(-5, 6).

Plot these points. Then connect them to form trapezoid U'V'W'Z'.

Write the expression in complete factored form. 4a(x-9)-7(x-9)=

Answers

Answer:

[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]

Step-by-step explanation:

we have the expression

[tex]4a(x-9)-7(x-9)[/tex]

Factor the term (x-9)

so

[tex](x-9)[4a-7][/tex]

therefore

[tex]4a(x-9)-7(x-9)=(x-9)[4a-7][/tex]

1/3+1/4 I really don’t get this so can someone please help me with this problem

Answers

Answer:

7/12

Step-by-step explanation:

You have to find a common denominator, so you would multiply 3 from the 1/3 by 4 which gets you twelve. And bc you multiplied the 3 you have to multiple the 1 so 1/3 would be 4/12. You would then multiply 4 by 3 and get 12. Then do the same to the one on top. So 1/4 would be 3/12. You then add 3 and 4 and get 7. That’s the numerator, the denominator stays 12. So it would be 7/12

Simplify the expression. 28 + 18 ÷ 6 • (–3)

19 27 –23 –93

Answers

18/6=3,3•(-3)=-9,28+(-9)=19

19 is your answer

What is 0.5p - 3.45 = -1.2

Answers

Simple. The answer is p=4.5

Will has 40 state quarters if 3/5 of his quarters are dated 2005 what is the value of the quarters from 2005?

Answers

Final answer:

Will has 24 quarters from 2005, which means the total value of these quarters equals to $6.

Explanation:

Will has 40 state quarters in total. If 3/5 of them are from 2005, this simply means that you need to find 3/5 of 40. So, we multiply 40 by 3/5:
40 * 3/5 = 24.

So, Will has 24 quarters from the year 2005.

Next, to find the value of these quarters, remember that each quarter is worth 25 cents (or $0.25 in dollar form). Therefore, we multiply the number of quarters (24) by the value of each quarter (.25):
24 * 0.25 = $6.

So, the total value of the quarters from 2005 is $6.

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Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.

Answers

Answer:

I assume your asking who's is better and why?

Step-by-step explanation:

Ralph has stated that for 1 shirt it will cost

$7.50 + $10 shipping= $17.50

Frank says it's $10 a shirt no shipping

if you work out the cost of Ralph's up to 5 shirts using the equation

($7.50 x number of shirts ) + $10 shipping

with each equation replace number of shirts with the number 1,2,3,4 and 5

1 shirt will cost you $17.50

2 shirts will cost you $25.00

3 shirts will cost you $32.50

4 shirts will cost you $40.00

5 shirts will cost you $47.50

at Frank's shop

1 shirt will cost you $10

2 shirts will cost you $20

3 shirts will cost you $30

4 shirts will cost you $40

5 shirts will cost you $50

Frank's is better to buy no more than 4 shirts from as he's cheaper up to 4 shirts.

Ralph is cheaper for bigger orders with 5 or more shirts in them

Final answer:

The question deals with the comparison of the costs of buying T-shirts from Ralph’s company versus Frank’s company. The cost differs based on the number of T-shirts purchased and the associated shipping fees.

Explanation:

The question is asking for a comparison between the two companies selling T-shirts and the associated costs. Ralph's company sells T-shirts for $7.50 each with an additional flat rate of $10 for shipping. In contrast, Frank's company sells T-shirts at a slightly higher price of $10 each but does not charge any shipping fees.

For example: If a customer wants to buy one T-shirt from each company, from Ralph’s company it would cost $7.50 (T-shirt price) + $10 (shipping fee) = $17.50. From Frank’s, it would cost $10 (T-shirt price) since shipping is free. So the cost would be different in both cases. However, if the customer opts to buy multiple t-shirts, the total cost might change depending on the number of t-shirts they decide to buy because of the fixed shipping cost on Ralph's side.

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Write an equation in slope-intercept form with a slope of 1 and a y-intercept of (0, -7).

Answers

Answer:

y = x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 and c = - 7, thus

y = x - 7 ← equation of line

Use what you know about decimals or fractions to explain why (0.2)⋅(0.002)=0.0004.

Answers

Answer:

you take 0.002 and multiply this by 0.2, to then get your answer of 0.0004

Step-by-step explanation:

On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left. How many did he have on Monday?

Answers

Answer:

He have 17 CDs on Monday.

Step-by-step explanation:

Given:

On Tuesday James bought seven CDs. On Wednesday half of all the CDs that he had were destroyed. On Thursday he had 12 left.

Now, to find the CDs he have on Monday.

Let the CDs he have on Monday be [tex]x.[/tex]

So, on Tuesday as James bought 7 CDs:

[tex]x+7.[/tex]

Now, on Wednesday half of all the CDs that he had were destroyed:

[tex]\frac{x+7}{2}[/tex]

As, given on Thursday he had left CDs = 12.

According to question:

[tex]\frac{x+7}{2}[/tex] [tex]=12[/tex]

Multiplying both sides by 2 we get:

[tex]x+7=24[/tex]

Subtracting both sides by 7 we get:

[tex]x=17.[/tex]

Therefore, he have 17 CDs on Monday.

If 5n = 0,then what does 6n equal

Answers

Answer:0

Step-by-step explanation:

Because any multiples by 0 is 0

Answer:

0

Step-by-step explanation:

Since 5 x n = 0, n has to be 0 since you can’t multiply anything but 0 to get the result of 0. Hope this helped!

Jared deposits $2 into his savings account every day for six weeks. Using the associate

Answers

Answer:

(2*7)*6 or 2*(7*6)  = $84

Step-by-step explanation:

The associative property would always give the same value as an answer no matter the way of expression, once the expressions are right. So in this case,

Since has saves $2 every day and there are 7 days in a week,

2*7

and save this continously for 6 weeks.

(2*7)*6

This equals $84

OR

7 days in a week for 6 weeks

7*6

and saved $2 per day

2*(7*6)

This equals $84

What is 35 divided by 3.14

Answers

11.1464 so 11.15 would be it rounded

Andre had lots of Halloween cand. He ate the same amount of candy each day. After 10 days he had 115
pieces. After 18 days he had 43 pieces. How many will he have after 22 days?

Answers

Answer:

he had 343 pieces of candy after 22 days

Step-by-step explanation:

You can find this by first divide 10/ 115 this is equal to 15.5 to find how many candies he eats per day. Then you multiply 15.5 by 22(days) to find this answer .

Andre eats 9 pieces of candy per day. After 18 days, he had 43 pieces. By calculating his daily consumption, we can deduce that after 22 days, Andre will have 7 pieces of candy left.

The question asks us to determine how many pieces of candy Andre will have after 22 days, given the information on how many he had after 10 and 18 days.

First, let's find out how much candy Andre eats each day. After 10 days, he had 115 pieces, and after 18 days, he had 43 pieces.

Calculate the difference in the number of days: 18 - 10 = 8 days.Calculate the difference in the amount of candy: 115 - 43 = 72 pieces.Divide the candy difference by the days' difference to find out how much candy he eats daily: 72 pieces / 8 days = 9 pieces/day.Find out how many days are between day 18 and day 22: 22 - 18 = 4 days.Calculate the amount of candy Andre will eat in 4 days: 9 pieces/day
4 days = 36 pieces.Subtract the amount he will eat in 4 days from the amount he had on day 18: 43 pieces - 36 pieces = 7 pieces.

Therefore, Andre will have 7 pieces of candy left after 22 days.

A tank is 5/8 filled with water. When the metal cube is placed in the tank, it is 3/4 full. Use the guess, check, revise strategy to find the dimensions of the cube.

Answers

The cube has the dimensions of:

[tex]1.26m \ by \ 1.26m \ by \ 1.26m[/tex]

Explanation:

A cube is a prism whose sides all have the same length. So the dimension of this cube will be given by one of its sides. For any object that is submerged in water, the volume of the displacement liquid equals the volume of the object.

[tex]For \ any \ cube \ the \ volume \ in \ terms \ of \ one \ side \ (s) \ is: \\ \\ V=s^3[/tex]

Suppose the volume of the tank when full is [tex]16m^3[/tex], so if it is 5/8 filled with water, then:

[tex]V_{5/8}=\frac{5}{8}(16) \\ \\ V_{5/8}=10m^3[/tex]

When the metal cube is placed in the tank, it is 3/4 full:

[tex]V_{3/4}=\frac{3}{4}(16) \\ \\ V_{3/4}=12m^3[/tex]

So the difference between these two volumes is the displacement volumen that equals the volume of the cube:

[tex]V=V_{3/4}-V_{5/8} \\ \\ V=12-10 \\ \\ V=2m^3[/tex]

So, the side of the cube is:

[tex]s=\sqrt[3]{2} \\ \\ \boxed{s\approx 1.26m}[/tex]

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What
percent of 150 is 225?

Answers

The percent is 66.67
Final answer:

To determine what percent 225 is of 150, the calculation (225 / 150) × 100% is used, resulting in 225 being 150% of 150.

Explanation:

To find what percent of 150 is 225, we can use the formula for calculating percents:

Percentage = (Part / Whole) × 100%

Where 'Part' is 225 and 'Whole' is 150. Now, let's calculate:

Percentage = (225 / 150) × 100%

Percentage = 1.5 × 100%

Percentage = 150%. So, 225 is 150% of 150.

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(Input decimals only, such as 12.71, as the answer.)Answer for Blank 1: therapy seeks to bring unresolved past conflicts and unacceptable impulses from the unconscious into the conscious,where patients may deal with the problems more effectively.A. CognitiveB. PsychodynamicC. HumanisticD. Behavioral In a particular type of cat, coat color follows the dominant/recessive pattern of inheritance. The allele for a brown coat (B) is dominant to the allele for a white coat (b).A cross between two white-coated cats would result in what? Halp ;w; I need an accurate answer please There are over confirmed extra-solar (exo) planets. Ashley planned to drive from New York to California to attend college. However, shortly after departing, she became uncertain about which roads to take and called her parents for assistance with directions. Because she was distracted, she drove off the side of the road and grazed the front bumper of her car on the guardrail. Fortunately, the car was not too badly damaged, so she continued on her journey. Although she ultimately made it to California, she had a lingering fear of guardrails for several months following her experience. 1. Explain how each of the following might have helped Ashley drive from New York to California? a. motor neurons.b. retinal disparity.c. heuristic.d. procedural memory.2. Explain how each of the following might have led Ashley to have a negative experience on her trip to New York to California?a. circadian rhythms.b. inattentional blindness. Achieving organizational goals efficiently and effectively a. is the primary purpose of the management process. b. is not necessary for successful management but is desirable. c. is necessary to make logical decisions. d. ensures that all employees will work cohesively. e. rarely occurs in private sector organizations. Excerpt from SeaplanesRoberto Barerra5 Though militaries no longer use seaplanes regularly, they still fulfill many purposes. Coast guards around the world use seaplanes during rescues because of their ability to fly long distances while searching for stranded people in the water. Fire fighters also use these planes to drop large amounts of water over forest fires. Even airline companies even use seaplanes to fly passengers to remote areas where airstrips do not exist.How does the author support the idea of the current usefulness of seaplanes?A)The author discusses possible future uses for seaplanes.B)The author describes the three different kinds of seaplanes and their uses.C)The author gives reasons why the use of seaplanes by the military has declined.D)The author gives specific examples of how coast guards, fire fighters, and airlines use seaplanes. A bullet is fired through a wooden board with a thickness of 9.0 cm. The bullet hits the board perpendicular to it, and with a speed of +370 m/s. The bullet then emerges on the other side of the board with a speed of +259 m/s. Assuming constant acceleration (rather, deceleration!) of the bullet while inside the wooden board, calculate the acceleration. Remember that since the bullet is traveling in the positive direction and it is slowing down, the acceleration is in the opposite, or negative, direction. (In this case the acceleration is negative.) Calculate also the total time the bullet is in contact with the board (in sec). How did the U.S. gain California and does this fit under the idea of Manifest Destiny?"Need help ASAP plssss Tom needs a new washing machine. A new one costs $400. He decides to save and buy one next year. All other factors being equal, if inflation is 4%, the washing machine will cost ______ next year. This should be an even answer with no need for decimals. The perimeter of arectangle is 60m whilethe area is 216m.Find the dimensionsof the rectangle. Select the correct answer. David was planning the launch of a waste-treatment facility in the suburbs. He had already lined up the machinery that he would need to buy for his factory. Under which factor of production would David classify the cost of his machinery? A. land B. labor C. capital D. entrepreneurship Government survey takers determine that typical family expenditures each month in the year designated as the base year are as follows:25 pizzas at $10 eachRent of apartment, $600 per monthGasoline and car maintenance, $100Phone service (basic service plus 10 long-distance calls), $50In the year following the base year, the survey takers determine that pizzas have risen to $11 each, apartment rent is $700, gasoline and maintenance have risen to $120, and phone service has dropped in price to $40.a) Find the CPI in the subsequent year and the rate of inflation between the base year and the subsequent year Most evaluations of teaching are done on scales from strongly disagree to strongly agree, or very unsatisfied to very satisfied. These response options are best considered to be measured on a(n) ________ scale. Words such as: as a result, because, therefore and caused show the paragraph is set up as:Compare and contrastGeneralizationsChronological orderCause and effect