= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.
Time Height
(seconds) (feet)
5
1150
10
1090
15
1030
20
970
25
910
at air balloon's initial rate of change (slope).

= Table Shows A Hot Air Balloon's Height H, In Feet, During A Descent At Various Times T, In Seconds.Time

Answers

Answer 1

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

Skills needed: Linear Equations, Substitution and Division

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

The slope is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] --> [tex]y_1[/tex], [tex]y_2[/tex], [tex]x_1[/tex], and [tex]x_2[/tex] are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ==> [tex]\frac{1090-1150}{10-5}[/tex] ==> [tex]1090-1150=-60, 10-5=5[/tex] ==> [tex]\frac{-60}{5}[/tex]

[tex]\frac{-60}{5} =-12[/tex], so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.


Related Questions

-424 +122-72+2

Jason tried to find an expression equivalent to the rational expression

by using

202+1

polynomial long division. His work is shown below.

- 2x + 7x

2x + 1) - 4x4 + 12x3 - 7x + 2

-(-4x4 - 2x2)

14x - 7x + 2

- (14x3 + 7x)

-14x + 2


Jason concluded that -202 + 7+ +

-142+2

was equivalent to the rational expression. Jason's

2x+1

conclusion is incorrect.

O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2

He made a mistake by multiplying 2x² + 1 by 2x2

O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2

O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1

+

Need help understanding this ?

Answers

Answer:

The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem.  The sum of what was written is -372.  There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.

Step-by-step explanation:

What does "by using

202+1

polynomial long division."  mean??

do the numbers after the x's represent exponents?

e.g.:  "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"

box and whisker plots please help!

Answers

The correct answer is D. 100%
Each tick counts as 8 so the beginning of the plot would be at 28 which is only 2 from 30 and everything else is on the plot is greater than 30 so the answer would have to be D since 75% would be too little coverage of the plot

BRO SOMEONE PLSS HELP ME

Write the inequality that represents the possible values for x

Answers

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?

_______% of the people surveyed were satisfied with the car. (Type a whole number

Answers

Answer:

30%

Step-by-step explanation:

[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]

Answer:

30%

Step-by-step explanation:

given

Total:3400

satisfied people:1020

we know that,

percent of satisfied:3400/1020x100%

=30%


Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286

Answers

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

42 is what percentage of 120?

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

To get more about the percentage visit:

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You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

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i don't know the answer to log4(x+6)=2

Answers

Answer:

10

Step-by-step explanation:

log4(x+6)=2

x+6=4²

x=4²-6

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]log_4(x+6)=2[/tex]

[tex]4^{log_4(x+6)}=4^2[/tex]

[tex]x+6=16[/tex]

[tex]x=10[/tex]

Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

the answer is 268435456

: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.

Answers

For every 5 minutes of jogging, I ran 500 yards

To Find : Use ratio language to describe the relationship of any two things

Determine the unit rate

Solution:

every 5 minutes of jogging, I ran 500 yards

=> 500/5 = 100 yards/ minute

For every 20 minutes ,  I can type 1000 words in

unit rate = 1000/20  = 50 words per minute

For every 1 hr (60 minutes)  I can solve 10 Questions

unit rate = 10/60     = 1/6 Question per minute  

For every 10 minutes , i can read 5 pages

unit rate = 5/10   = 1/2 pages per minute

Learn More:

Selma uses a jogging trail that runs through a park near her home ...

brainly.in/question/21297587

Keith is saving money for a car. He has saved the same amount ...

brainly.in/question/14056417

A town’s population increased from 25200 to 26460. Find the percent of increase.

Answers

Answer:

5%

Step-by-step explanation:

Based on the given conditions, formulate: (26460-25200)÷25200

Calculate the sum or difference: 1260/25200

Cross out the common factor: 1/20

Multiply a number to both the numerator and the denominator: 1/20 * 5/5

Write as a single fraction: 5/20*5

Calculate the product or quotient: 5/100

Rewrite a fraction with denominator equals 100 to a percentage: 5%

consider the equation n=2/5m-30 for what value of m is n equal to 50?

Answers

Answer:

m = 200

Step-by-step explanation:

Substitute n = 50 in the equation

         n = 2/5m - 30

       50 = 2/5m - 30

50 + 30 = 2/5m

       80 = 2/5m

         m = 80 ÷ 2/5

         m = 200

Hello, thanks for the fast reply! I was trying to make sense of the following equation:

Answers

Answer:

[tex]15\sqrt{3}[/tex] inches

Step-by-step explanation:

[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]

[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]

[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]

[tex]15\sqrt{3}[/tex] inches

Hope this helps!

Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!

Answers

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

How do you write 750% as a fraction or mixed number

Answers

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

Help me please with this!…………………

Answers

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2

View Example
After a power fallure, the temperature in a freezer increasettat an average rate of 3.5°F per hour. The total
Increase was 17.5°F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 17.5°F.
Step-by-step
Video Tutor
The equation to find the number of hours until the power was restored is
Textbook
Print
The number of hours until the power was restored
is
hours
Turn it in
e Save & Close
Question 6 of 6
✓ Check Answer

Answers

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

yoooooooooooooooooooooooooooo

merry christmas! my teachers gave me work. ill be happy if u help

Answers

heyy merry christmas !
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3

Can someone help me solve this problem? I’m not sure how to solve this type of expression

Answers

Answer:

(2x+3)square+2

Step-by-step explanation:

(2x) square +2 (2x)(3)+(3)square

2x square +12x+9

I think so.

pls give me brainliest

I need help with this question

Answers

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.

Answers

Answer:

2nd option

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

g(x) = f(x + 4)

Is the graph of f(x) shifted 4 units to the left

On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?

Answers

Divide $149.87 by 3 which = $49.95
From September 1 to December 1 is three months apart so meaning the price dropped $49.95 for the months of Oct to Dec.

The required change in the price of the share of stock is $4.4.

Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.

What is simplification?

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,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4

Thus, the required change in the price of the share of stock is $4.4.

Learn more about simplification here: https://brainly.com/question/12501526

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Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.

Answers

Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

please help me if you can​

Answers

A) 100 degrees (congruent angle)
B) 45 degrees (congruent angle)
C) 90 degrees (right angle)
D) 99 degrees (congruent angle)
E) 30 degrees (congruent angle)
F) 30 degrees (180-150=30, that is to find the other angle that is congruent to f)

Write an equation of a line which has a slope of -2 and goes through the point (-4,11)

Answers

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

My I please have some help
Simplify (89^6 x 91^3)^0

1
(89^6 x 91^3)
0
(89^7 x 91^4)

Answers

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

309,303,297 find the 33rd term

Answers

Answer:

111

Step-by-step explanation:

multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309

Answer:

117

Step-by-step explanation:

Hope this helps!

Need to review this problem for finals help pls

Answers

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?

Answers

720/5= 144, it will take 144 days for 5 people to finish the project.

Casey's grandmother sent her an $80 bookstore gift card for her birthday last year. This year, she sent her a $110 bookstore gift card. Which proportion can be used to find the percent of last year's gift that this year's gift is, if n represents the unknown percent?
A 100/110 = 80/n
B 80/110 = n/100
C 110/80 = n/100
D 101/100 = 80/n

Answers

The answer is to this question is B

Lucy bought a desk on sale for $883. This price was 15% less than the original price.

Answers

the answer to the question is 898$

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