The table below represents the atmospheric temperature at a location as a function of the altitude:

Altitude
(in thousand feet)
x
Temperature
(in °C)
f (x)
15
4
20
−6
25
−16
30
−26


The average rate of change of the function between x = 15 to x = 25 is ___degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet

Answers

Answer 1

from x15 to x 25 is 4 - -16 = -20 degree change

25 -15 = 10000 feet

-20/10 = -2 degrees every 1000 feet



Related Questions

Sally is choosing what classes to take next year. She must take a math, a science, a fine arts, and a foreign language. If there are 4 math classes, 3 science classes, 5 fine arts classes, and 2 foreign languages classes to choose from, how many different schedules can she have?

Answers

She can 120 different schedules. You multiply everything out. :)

What does it mean to say that two variables are negatively associated?

Answers

A negative correlation means that there is an inverse relationship between two variables - when one variable decreases, the other increases. The vice versa is a negative correlation too, in which one variable increases and the other decreases.

PLZ HELP ASAP
8 ÷ 16 = 48 because A) 288 × 1/6 = 48 B) 80 × 1/10 = 8 C) 64 × 1/8 = 8 D) 48 × 1/6 = 8

Answers

I think the answer is D. because it seems the most logical. It is definitely not B. or C. and I don't think A. seems right. 

Answer:

D)48 × 1 6 = 8 Use the relationship between multiplication and division to explain that 8 ÷ 1 6 = 48 because 48 × 1 6 = 8.

Step-by-step explanation:

One angle of an isosceles triangle measures 100°. which other angles could be in that isosceles triangle? choose all that apply. 20° 30° 50° 40° submit

Answers

both of the other angles are 40° because a triangle has a total angle of 180° and an isosceles triangle means that at least two of the sides have to be the same length (two angles must be the same)
180 - 100= 80
80 ÷ 2 = 40

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The other angles in the isosceles triangle are 40°.

Option D is the correct answer

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

One angle = 100°

We know that,

In an isosceles triangle, there are two equal sides and two equal angles opposite to the equal sides.

The sum of the three angles in the isosceles triangle is 180.

We already have,

One angle = 100°

The other two should be equal.

The sum should give us 180°.

Now,

40 + 40 = 80

100 + 80 = 180°

Thus,

The other angles in the isosceles triangle are 40°.

Option D is the correct answer

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In the deli, meat and cheese are sold by the pound. There is usually a unit price in each variety in the refrigerator case. If honey ham costs $5.99 per lb, how much would 1.5 lbs cost?

Enter your answer as a decimal rounded to the nearest cent.

Answers

This here is a simple algebra equation that may seem tricky due to the wording. However, with some simple deduction, you will be able to see that all you have to find is a small equation.

So if 1lbs = $5.99
and you need to find 1.5lbs
5.99x = answer
then all you simply have to do is multiply $5.99 by 1.5lbs.

When completing the equation, you will see that 1.5lbs of ham will cost $8.985 which will round to $8.99.

Let x represent any year write an inequality in terms of x and 1822 that is true only for values of x that represent years before the year that Brazil started its war for independence and

Answers

Answer: x<1822

I just did it.

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour. (1 point)
A• 2
B• 8
C• 4
D•3

Answers

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

First Jet Sky Company

[tex]y=24.00+2.25x[/tex] ---------> equation [tex]1[/tex]

Second Jet Sky Company

[tex]y=23.00+2.50x[/tex] ---------> equation [tex]2[/tex]

we know that

To find the number of hours for which the costs are the same

equate equation [tex]1[/tex] and equation [tex]2[/tex]

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure  

the intersection point is [tex](4,33)[/tex]

That means

For [tex]x=4\ hours[/tex]

the cost of the rent is [tex]y=\$33[/tex] in both companies

therefore

the answer is

[tex]4\ hours[/tex]

For 4 hours of booking, the charges paid to both the companies should be same. And the charge will be $ 30.

Let x be the number of hours of booking per jet ski.

First company charges $24.00 plus $2.25 per hour to rent a jet ski.

So, the total cost paid for x hours to the first company will be,

[tex]C_1=24+2.25x[/tex]

Second company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.

So, the total cost paid for x hours to the second company will be,

[tex]C_2=23+2.5x[/tex]

Now, the charge paid to both the companies should be same. For this condition, the number of hours of booking per jet ski should be,

[tex]C_1=C_2\\24+2.25x=23+2.5x\\1=0.25x\\x=4[/tex]

Therefore, for 4 hours of booking, the charges paid to both the companies should be same. And the charge will be,

[tex]24+2.25\times4=\$33[/tex].

For visuals, refer the attached graph.

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find × in this proportion 16/X = x/4
x=

a. 64
b. 32
c. 16
d 8

Answers

The answer to this question is D because 16 divided by 8 is 2 and 8 divided by 4 is 2. I hope this helps you :) 

Answer:

d

Step-by-step explanation:

The proportion given to us is

[tex]\frac{16}{x} =\frac{x}{4}[/tex]

Next we cross multiply to get

[tex]16*4=x*x[/tex]

[tex]64=x^2[/tex]

[tex]x^2=64[/tex]

Take the sqrt on both side to get x

so

[tex]\sqrt{x^2}   = \sqrt{64}[/tex]

x=8

so the correct option is d .

If the probability of a certain event is 63/92, what are the odds against the event happening?

Answers

29/92 you minus sixty three by ninety two to get the probability of the event not to occur.  

Deon drove 408 miles using 16 gallons of gas. At this rate, how many miles would he drive using 11 gallons of gas?

Answers

 280.5 miles. you have to divide 408 by 16 than multiply the answer by 11
Final answer:

By setting up a ratio based on the known miles per gallon, we can determine that Deon would be able to drive 281.5 miles using 11 gallons of gas.

Explanation:

This problem can be solved by setting up a proportion to find out how many miles Deon would drive using 11 gallons of gas. First, we know that Deon can drive 408 miles with 16 gallons of gas. This forms a ratio of 408/16 which simplifies to 25.5. This means Deon can drive 25.5 miles for every gallon of gas. Using this, we can determine how far he would travel with 11 gallons by multiplying the miles per gallon (25.5) by 11.

Therefore, Deon would drive 281.5 miles using 11 gallons of gas.

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the number of peaches, p, is three less then twice the number of grapes,g. which expression represents the number of peaches in terms of the number of grapes?

Answers

Peaches is three less than twice the number of grapes
So p=2g-3

I need help please ace/experts

Answers

1.

 18.98 per 1000

320,000 / 1000 = 320

18.98 x 320 = $6073.60


2. smoker: 9.36 * 100 = 936

 non smoker: 7.85 * 100 = 785

936 - 785 = $151


The following triangle CAT is transformed using a translation: Triangle CAT is shown. C is at 0, 0, A is at negative 2, 1, T is at negative 1, 4. Which could be coordinates of C'A'T' after the translation? (4 points) Select one: a. C=(0,0), A=(2,1), T=(1,4) b. C=(2,0), A=(0,1), T=(1,4) c. C=(0,0), A=(−1,−2), T=(−4,−1) d. C=(−2,0), A=(−1,0), T=(−4,1)

Answers

the answer would be b. C=(2,0), A=(0,1), T=(1,4)

all x's move 2 to the right and no change in y


Solution: If a shape is being translated neither it's shape nor size changes.When we translate a shape we just move a shape or geometrical figure by certain distance either horizontally or vertically or both horizontally and vertically.

Coordinates of Triangle CAT is →C(0,0), and A(-2,1), and T(-1,4).

In option (a) vertices C has not been translated , but A and T are translated.Which is Untrue because we have to move all the vertices by same value. But x and y can have different value.

In option (b) all the coordinates C,A,and T is being translated along→ x by 2 units , horizontally right, but not translated in vertical direction.  

C(0,0)⇒C(0+2,0+0)→C(2,0)

A(-2,1)⇒C(-2+2,1+0)→C(0,1)

T(-1,4)⇒C(-1+2,4+0)→C(1,4)

In option C, Coordinates of A and B are changed but not of C, So in this case translation can't happen.

In option D , C is being translated 2 units horizontally left ,  but amount of translation in A and T are different.

So , Option (b) is true.

complete the solution of the equation. Find the value of y when x equals -4
x + 3y = 14

Answers

Final answer:

When x equals -4, the value of y is 6 by substituting -4 into the equation x + 3y = 14 and solving for y.

Explanation:

To complete the solution of the equation and find the value of y when x equals -4, simply substitute -4 for x into the equation x + 3y = 14. The steps are as follows:

Start with the equation: x + 3y = 14.Substitute -4 for x: (-4) + 3y = 14.Solve for y: 3y = 14 + 4.Simplify: 3y = 18.Divide both sides by 3: y = 18 / 3.Find the value of y: y = 6.

Therefore, when x equals -4, the value of y is 6.

Find the area in the right tail more extreme than z= 3.01 in a standard normal distribution

Answers

Final answer:

To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

Explanation:

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

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Final answer:

To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

Explanation:

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

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Final answer:

To find the area in the right tail more extreme than z= 3.01 in a standard normal distribution, we calculate the p-value as the probability of observing a value more extreme than the test statistic. In this case, the p-value is approximately 0.0103.

Explanation:

The p-value, in statistics, measures the probability of obtaining results as extreme or more extreme than the observed data, assuming the null hypothesis is true. A smaller p-value suggests stronger evidence against the null hypothesis, typically indicating statistical significance and supporting the alternative hypothesis.

To find the area in the right tail more extreme than z = 3.01 in a standard normal distribution, we need to calculate the p-value.

The p-value is the probability of observing a value more extreme than the test statistic.

In this case, we use the formula P(Z > z) to find the area in the right tail. Using the information given, P(Z > 3.01) ≈ 0.0103.

Learn more about right tail, p-value, standard normal distribution here:

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Find the ratio a:b, if it is given that ... 2a-3b/5 = a+b/3

Answers

Multiply both sides by 5 and 3 (×15) to remove denominator
30a-9b=15a+5b
15a=14b
Ratio is 15:14

you find a fossilized animal footprint in montana. One footprint is round and has a diameter of 42cm. what is the are of the footprint?

Answers

Can you list your options?

To find the area of a round footprint with a diameter of 42 cm, you use the formula for the area of a circle, A = πr². The radius is 21 cm, so the area is approximately 1382.74 cm².

To find the area of a round footprint, you use the formula for the area of a circle, which is πr², where r is the radius of the circle.

First, find the radius by dividing the diameter by 2. In this case, 42 cm / 2 = 21 cm.Next, use the area formula: area = π x (radius)². So, area = π x (21 cm)².Calculate the result: area = π x 441 cm².Using the approximation π ≈ 3.14, the area ≈ 3.14 x 441 cm².The final area ≈ 1382.74 cm².

Therefore, the area of the fossilized footprint is approximately 1382.74 cm².

On a family trip, 100 miles were traveled at a rate of 60 miles per hour and another 30 miles at 40 miles per hour , what is the average speed for this trip

Answers

average speed = total distance / total time ........(i)

here total distance = 100+30 = 130 miles

time = distance / speed

time for step 1 = t1 = 100/60 = 1.6667 hours
time for step 2 = t2 = 30/40 = 0.75 hours

so total time = t = t1+t2 =2.416667hours

put values of distance and time in equation (i) we get

average speed = 130 / 2.416667 = 53.79 = 53.8 miles per hour

Final answer:

The average speed for the trip is calculated by using the formula of total distance divided by total time. For a total distance of 130 miles and total time of 2.42 hours, the average speed is approximately 53.72 mph.

Explanation:

In order to find the average speed for the entire trip, we need to use the formula which is total distance travelled divided by the total time taken. The total distance travelled is 100 miles at 60mph plus 30 miles at 40mph, which results in 130 miles.

Now, to find the total time taken, we divide the distance travelled by the speed, which is 100 miles at 60mph results in 1.67 hours and 30 miles at 40mph results in 0.75 hours. Hence, the total time taken is the sum of these two times which is 2.42 hours.

Applying the formula for average speed, i.e., total distance divided by total time, we get 130 miles divided by 2.42 hours results in approximately 53.72 mph which is the average speed for the trip.

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Jalen has a balance of $1870 on a credit card with an APR of 19.7%, compounded daily. About how much will he save in interest over the course of a year if he transfers his balance to a credit card with an APR of 16.5%, compounded monthly. (Assume that Jalen makes no payments or new purchases during the year, and ignore any possible late payment fees.)

Answers

The formula is
A=p (1+r/k)^kt
A future value
P present value
R interest rate
K compounding periods
T time

When the compounding periods are daily balance after one year is
A=1,870×(1+0.197÷365)^(365×1)
A=2,277.06

When the compounding periods are monthly balance after one year is
A=1,870×(1+0.165÷12)^(12×1)
A=2,202.99

So will save
2,277.06−2,202.99
=74.07....answer

Hope it helps!

On average, at least 25,000 pieces of luggage are lost or misdirected each day by United States airlines. Of these, 98% are located by the airlines within 5 days. From a given day’s lost luggage, at least how many pieces of luggage are still lost after 5 days?

Answers

Final answer:

To find the number of luggage still lost after 5 days, at least 2% of the given day's lost luggage will still be lost after 5 days.

Explanation:

To find the number of luggage still lost after 5 days, we can use the concept of complementary events.

Since 98% of lost luggage is located by the airlines within 5 days, that means 2% of the lost luggage is still not located.

Therefore, at least 2% of the given day's lost luggage will still be lost after 5 days.

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Veronica deposited $21 in a savings account that earns 2.4% simple interest. Which graph represents this scenario?

Answers

Where’s the graph at?

Answer:

The below graph represents this scenario.

Step-by-step explanation:

Given,

The deposited amount, P = $ 21,

Annual interest rate, r = 2.4 % = 0.024,

Thus, the simple interest after x years,

[tex]y=P\times r\times t[/tex]

[tex]=21(0.024)(x)[/tex]

[tex]=0.0504x[/tex]

If x-axis shows the number of years and y axis represents the simple interest after x years,

So, y = 0.0504x is a line passes through the origin which will show the given scenario,

( shown below )

Also, x ≥ 0 ( number of years can not be negative )

Your football team gained four yards on the first down into yards on the second down during its last possession which number is the additive inverse of yards gained
A-2
B -6
C 4
d 6

Answers

Is C supposed to -4 bc if it is then C is the answer, bc all it is, is the opposite of the original number.

Answer:

B. -6

Step-by-step explanation:

There is a mistake in the question. It would have to say:

Your football team gained four yards on first down and two yards on second down during its last possession

So, your team gained 4 + 2 = 6 yards.

Calling x, the additive inverse of 6, the following equation must be satisfied:

6 + x = 0

x = 0 - 6

x = -6

Which situation is mostly a constant rate of change?

Answers

c is the answer. There you go. Your welcome.

Answer:B

Step-by-step explanation: The distance traveled by a truck driving at a constant speed compared with time.

Which choice represents the fraction below as a single exponential expression?

8^2/8^16

a. 8^-12
b. 8^12
c. 1/4
d. 8^4

Answers

the correct answer would be A. 8^-12

8^2 /8^16 =  1/8^14 = 2.27373*10^-13

8^-12 = 1.45519*10^-11

 which are equal so answer is A

what is the measure of ∠J?
Given △ABC≅△JKL, m∠B=55°, and m∠L=25

Answers

ABC congruent to JKL.....this means that A = J, B = K and C = L

m < B = 55....so < K = 55 also
m < L = 25.....so < C = 25 also
so we need the measure of < J....and < A

interior angles of a triangle add up to 180 degrees
< J + < K + < L = 180
< J + 55 + 25 = 180
< J + 80 = 180
< J = 180 - 80
< J = 100......so < J = 100....and so does < A


I cold may be may be Ander italiano ideal tiene was a Picture

What is the end behavior of f(x) = |3x - 2| + 4?

Answers

Answer:

It rises to the left and rises to the right.

Step-by-step explanation:

Select the classification of the polynomial using its degree and number of terms.

9x − 3y + 7

The polynomial is classified as a

-quadratic trinomial
-linear monomial
-linear trinomial

Answers

The polynomial 9x − 3y + 7 would be classified as a linear trinomial. This is because there are no exponents of two, making it linear, not quadratic. However, there are three terms, making it a trinomial. Hope this helps!

What is the difference between the profits Mr.Brown's store earned in the first quarter and the third quarter?

a. $2,411.44
b. $2,814.64
c. $3,004.54
d. $3,214.78

Answers

The answer is A, because $9,841.28 minus $7,429.84 is $2,411.44

Answer:

Option a. $2,411.44

Step-by-step explanation:

In the table the profit of Mr. Brown's store in all quarters of 2012  was given.

In Quarter 1 Profit was = $9,841.28

In Quarter 2 profit was = $8,957.67

In Quarter 3 profit was = $7,429.84

In Quarter 4 profit was = $11,095.67

To find out the difference between the profits earned in the first quarter and the third quarter, we subtract it.

Difference between profits = 9,841.28 - 7,429.84 = $2,411.44

Answer would be Option a. $2,411.44

use the triangle to answer the question.

Which equation shows a correct relationship of trigonometric functions?

sin x/cos y=0

sin x/ cos x =0

sin x/ cos x =1

sin x/ cos y =1



Answers

Answer: Choice D) sin(x)/cos(y) = 1

---------------------------------------------
---------------------------------------------

Label the sides as shown in the image attachment. 

P = horizontal leg (opposite of angle x; adajcent to angle y)
Q = vertical leg (opposite of angle y; adajcent to angle x)
R = hypotenuse (longest side; always opposite the 90 degree angle)

Use the definitions of sine and cosine to say...

sin(Angle) = opposite/hypotenuse
sin(x) = P/R

and

cos(angle) = adjacent/hypotenuse
cos(y) = P/R

Notice how sin(x) = cos(y). This is true any time x+y = 90 which is the case here (x and y are complementary angles). A more specific example is sin(30) = cos(60) which are both equal to 1/2 or 0.5

Since sin(x) = cos(y), this means sin(x)/cos(y) = 1 as any expression divided by itself is equal to 1. Keep in mind that cos(y) cannot equal zero.

This is why choice D is the final answer.

side note: something like cos(x)/sin(y) or sin(y)/cos(x) or similar are all equal to 1 as long as x+y = 90

A number cube is rolled 30 times, and a six comes up 5 times. What is the experimental probability that a six is rolled?

Answers

If you roll once the probability of landing on a 6 is 1/6 (cube has 6 sides). 

(1/6)=(5/30)=p

The probability of the cube landing on the number 6 five times is 1 out of 6

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