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Answer:

Step-by-step explanation:

From the information given, we need to get the rate of change of distance which is the velocity (slope.)

velocity = Δd/Δt

v = d2-d1/t2-t1

from the table;

when t = 2, d = 700

when t  = 3, d = 1050

v = 1050/750/3-2

v = 350/1

v = 350

Since v = d/t

350 = d/t

cross multiply

350t = d

Rearrange:

d = 350t

Hence the equation that represents the information is d = 350t

Answer:

D

Step-by-step explanation:

Answer:

The slope is 5/-2.

Step-by-step explanation:

Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.

11 - (-4) = 11 + 4 = 15

-2 - 4 = -6

Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2

Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.

Answer:

You can buy 12 gallons of gas.

Step-by-step explanation:

I took 40 and 3.25, then divided them.

I got a very large ugly decimal. When simplified it is 12.

Answer:10x + 26

Step-by-step explanation:

Answer:

The scale model = 1 :36 or 1 to 26

Step-by-step explanation:

A clay model of a new car is 7 in. long if the car is 21 ft long

Note that:

1 foot = 12 inches

21 foot =

Cross Multiply

21 foot × 12 inches

= 252 inches

Therefore, the scale =

7 inches : 252 inches

1 : 36

Answer:

-21/4

Step-by-step explanation:

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

Answer:

The measure of angle 6 is 62 degrees.

The measure of angle 3 is 64 degrees.

The measure of angle 8 is 54 degrees.

The measure of angle 4 is 64 degrees.

The measure of angle 12 is 32 degrees.

Step-by-step explanation:

Answer:

B. 10 to the third power

The required missing number in 390 x __ = 390,000 is 10³. option B is correct.

The missing number in the calculation 390x__=390,000 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the missing number be x,
Now the given expression becomes,

390 * x =390,000
x = 390,000 / 390
x = 1000
x = 10³

Thus, the required missing number in 390x__=390,000 is 10³. option B is correct.

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Answer:

A

Step-by-step explanation:

Answer:

w = -8

Step-by-step explanation:

19 = -9w - 5 + 6w

19 = -3w - 5

19 + 5 = -3w

24 = - 3w

w = -8

Answer: y= 2x+9

have a good day!

Answer:

2A/b = h

Step-by-step explanation:

A=1/2bh

Multiply each side by 2

2A = 2 * 1/2 bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b = h

Answer:

The height of the tree is approximately 45.51 ft.

Step-by-step explanation:

The given information are;

The angle of elevation of the top of tree is 36 degrees

The distance backwards Mr. Santos moved = 50 ft.

The new angle of elevation of the top of the tree = 22 degrees

Therefore, we have;

The angle opposite to the 50 ft. side = 180 - (180 - 36) - 22° = 14°

Therefore, we have, by sine rule;

50/(sin(14)) = X/(sin(22))

X = (sin(22)) × 50/(sin(14)) ≈ 77.42 ft.

The height of the tree, T =  X × sin(36°)

T = 77.42 ft. × sin(36°)  ≈ 45.51 ft.

The height of the tree is approximately 45.51 ft

Answer:

Step-by-step explanation:

Yeah.I would be glad to.

What do you need help with?

Answer:

Length= 13in

Width= 10 in

Step-by-step explanation:

Let x=length

Let y=width

x=3+y

xy=130in^2

(3+y)y=130in^2

3y+y^2=130in^2

y^2+3y-130=0

y=10

x=3+10

x=13

Answer:

4 years

Step-by-step explanation:

65+12x= 113

12x=113-65

x = 48/12=4

Answer:

Step-by-step explanation:

Sue's initial wage per hour = $10

Sue's wage per hour after the increase = $100

a. Economic surplus to be enjoyed = $100 - $10

                                                      = $90

Sue would enjoy an economic surplus of $90.

b. No, because in this case the wage per hour for each 400 student would be;

                                          =  [tex]\frac{100}{400}[/tex]

                                          = $0.25

                                          = 25 cents

Redistribution of income is the act of equal sharing of wealth among a certain number of people.

The problem here is that Sue would feel cheated with the division of the earnings among 400 students, but very happy when her wages was increased.

Though the income incentive redistribution programs reduce poverty, but it may be unfair.

Answer: 9/2

......................

Answer:

3 ounces of the seed and 7 ounces of the dried fruit.

Step-by-step explanation:

Answer: 60

Step-by-step explanation: If you buy your lunch every day for 1 week, that would be 20 dollars spent. If you spend 20 dollars in 1 week, then 3 weeks would be 60.

Let me know if I'm right!

If you buy lunch everyday at school for $4 thats $20 a week, and $60 in 3 weeks.

The answer to this question is $60.

$4 x 5 = $20

$20 x 3 = $60

Answer:

26 weeks!

Step-by-step explanation:

Hello there!

There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.

So in 1 year, the shelter will need 26 bags of 20 lb cat food!

Hope I helped!

If you enjoyed my answer, I'd appreciate a rating and a Thanks!

Answer: 4/5 book per hour

Step-by-step explanation:                                                                        in this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do  is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

Answer:

The answer is x = 7

Step-by-step explanation:

Divide each term by  3  and simplify. Move all terms not containing  x  to the right side of the equation.

Answer:

[tex]\huge\boxed{x=7}[/tex]

Step-by-step explanation:

In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.

Let's apply the distributive property on the left side:

[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]

Add 30 to both sides:

[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]

Divide both sides by 3:

[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]

So x = 7.

Hope this helped!

Answer:

B- For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

The statement that is true is For each hour that Michelle drove, she traveled an additional 50 miles.

The graph shows the relationship between a distance and the time .

With the graph interpretation, it display the relationship between the  number of hours that Michelle is driving as well as the distance, and it can be deduced that it started at  0 hours, and distance of 350 miles

Hence, option B is correct because  Michelle drove, an additional 50 miles since at zero y-coordinate was  no more distance to cover.

Check the graph at the attachment.

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Answer:

  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.                                    

Step-by-step explanation:

Let we invest $500 with the interest rate of  14% ,

Now we will find the time it is going to take to double the money

here, we use the formula of compound interest [tex]A= P( 1+\frac{r}{n}) ^{nt}[/tex]

Here, A = the amount yielded,

P = principal,

r = interest rate ,

n = number of times per year,

and t =  time invested.

Now, put A= 1000 , P= 500 , R= 0.14   T= x and N= 1

      [tex]1000=500(1+ 0.14)^x[/tex]      

      [tex]1000=500(1.14)^x[/tex]

       [tex]2=1.14^x[/tex]

     [tex]\log_{1.14} (2)=x[/tex]

      [tex]x=5.29[/tex]

so ,  It will take 5.29 years to double our money if we invest $500 at 14 percent interest.    

Hence , the answer is 5.29 years .                  

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

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