The height of a thermosphere is about 2.95×10 to the fifth power feet above earth there a 5280 feet in 1 mile how about how many miles above earth is the thermosphere

Answer:

1,264

Step-by-step explanation:

a = 1000(1.06)^4

a = 1,262.47696

1,264

Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.

When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.

The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.

Therefore, the similar triangles are:

ΔBAC ~ ΔEDF.

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Answer: The slope of the line is -2/3.

Step-by-step explanation:

How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!

I hope this helps :)

Answer:

-2/3

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation: hope this helps!

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

If BCDE is congruent to OPQR, then DE is congruent to QR .

Congruence means the same point on two different shapes , like parallels

so BC is congruent to OP

and

DE is congruent to QR

In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.

Two triangles are said to be congruent if their sides and angles are an exact match.

Conditions for Congruence of Triangles:

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Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

Answer:

1216.8

Step-by-step explanation:

Multiply  240  by  5.07 . 1216.8

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

(2.4, -1)

Step-by-step explanation:

To find the midpoints of two points in the format (x,y), we find the mean for the values of x and y.

In this question:

(3.2, 2.5) and (1.6, -4.5)

Mean for the values of x:

(3.2 + 1.6)/2 = 2.4

Mean for the values of y:

(2.5 - 4.5)/2 = -1

Midpoint:

(2.4, -1)

a) The population would be 80

b) The population would be 3122

c) The time would be 7.8 hours

Exponential growth is a mathematical concept that describes the rapid and continuous increase of a quantity over time. This has been applied to the bacteria problem that we have here.

At the sixth hour;

P =4e^0.5t

P = 4e^0.5(6)

P = 80

2) 4e^0.5(14) - 4e^0.5(5)

4387 - 1265

= 3122

3) For 200 bacteria;

200 = 4e^0.5t

50 = e^0.5t

ln50 = 0.5t

t = ln50/0.5

t = 7.8 hours

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Answer:

StartRoot 47 EndRoot, it's only an estimate tho

Step-by-step explanation:

Answer: 6.9

Step-by-step explanation: square root of 47 is 6.855. 8 is closest to the next number up

The common ratio of the associated geometric sequence is 4

The table of values is given as:

x y

1 9

2 36

3 144

4 576

5 2304

The common ratio is calculated as:

Ratio = y(2)/y(1)

This gives

Ratio = 36/9

Divide

Ratio - 4

Hence, the common ratio is 4

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Answer:

77.14 minutes.

Step-by-step explanation:

Jack's time = 3 hours

Jill's time = 2.25 hours = 2 1/4 = 9/4 hours

Combined time = x

Rates :

Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9

Combined rate = 1/x

Setting up the equation :

1/3 + 4/9 = 1/x

Lcm of 3 and 9 = 9

(3 + 4) / 9 = 1/x

7/9 = 1/x

Cross multiply :

7x = 9

x = 9/7 hours

x = (9/7)* 60

x = 77.14 minutes

Combined time = 77.14 minutes.

Answer: (-3,2)

Step-by-step explanation:

Solving by substitution involves taking one of the equations and basically plugging it into the other.

I would start by taking the first equation and rearranging it to equal a variable. It will be easier to solve using this equation as the x variable is already isolated.

Take: \(x+3y=3\)

Subtract 3y to the other side: \(x=3-3y\)

Now plug this equation in for the value x into the other equation like so:

\(3y-2(3-3y)=12\)

Now there is only one variable to solve in this new equation. Solve for the value y.

Distribute -2: \(3y-6+6y=12\)

Combine Like Terms: \(9y-6=12\)

Add 6 to both sides to cancel: \(9y=18\)

Divide by 9 to both sides to cancel 9: \(y=2\)

So the value y=2.

Now we can plug the value of y back into either equation to now solve for x.

\(x+3(2)=3\)

\(x+6=3\)

\(x=-3\)

Now you have the point (-3,2)

You can check your answers if you would like.

Answer:

(-3,2)

Step-by-step explanation:

The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

275 miles

Step-by-step explanation:

Divide 605/11 to find out the rate.

Rate is 55 miles per hour.

5 * 55 = 275 miles

Answer:

Step-by-step explanation:

you can solve with an equation

605 : 11 = x : 5

x = 605 * 5 : 11

x = 3025 : 11

x = 275

or

605 : 11 * 5 =

55 * 5 = 275

Answer:

0.75, 0.5, 0.25, 0.05

Hope it helps!!!

B.)0.75, 0.5,0.25,0.05

0.25

0.52

0.75    greatest

0.05    Least

The population in 2010, which is the specified time, would be 312500- given by logarithmic functions and calculations.

According to the question,

dP/dt ∝ t

Taking proportionality constant to be K:

dP/dt = kP

dP/P = kdt

Integrating both sides:

∫dP/P = ∫kdt

㏒ P = kt + ㏒ c

We are given that, P = 20000 at t = 1990. Therefore,

㏒ (200000) = 1990k + ㏒ c.......(1)

Also, we are given that P = 250000 at t = 2000. Therefore,

㏒ (250000) = 2000k + ㏒ c........(2)

Now, subtracting eq. 1 from eq. 2:

㏒ (250000) − ㏒ (200000) = k (2000−1990)

㏒ 250000/200000 = 10k

log5/4 = 10k

k = 1/10 ㏒ 5/4

Substituting the value of k in eq.1:

㏒ (200000) = 1990 × 1/10 ㏒ 5/4 + ㏒ c

㏒ c = ㏒ (200000) - 1/10 ㏒ 5/4 × 1990

Substituting the value of log c and t = 2010 in eq.1:

㏒ P = 1/10 ㏒ 5/4 × 2010 + ㏒ (200000) - 1/10 ㏒ 5/4 × 1990

㏒ P = ㏒ (200000) + 1/10 ㏒ 5/4 × 20

㏒ P = ㏒ (200000) + 2 ㏒ 5/4

㏒ P = ㏒ (200000) + ㏒ (5/4) ²

㏒ P = ㏒ [(200000) × (5/4) ²]

P = 200000 × 25/16

P = 312500

Hence, the population in 2010 would be 312500.

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Step-by-step explanation:

Fractions can be thought of as another way of seeing division. If you have one whole pizza and two people want to share it equally, they will divide it into two halves:

The bottom number of a fraction is the denominator. It tells how many parts a whole has been divided into. In this case our pizza is divided into two parts.

Multiplying fractions is fairly simple. You may want to put each fraction in its lowest terms to start. Then multiply the numerators to get a numerator and multiply the denominators to get a new denominator. And reduce or simplify the fraction to put it in its lowest terms. If you are multiplying a fraction by an integer, put the integer over one to make a fraction of it.

Examples:

Five times 4/5: Put the five over one, then multiply 5 x 4 to get 20 and 1 x 5 to get 5. Twenty can be divided evenly by 5 to give us an answer of 4.

Reciprocals of Fractions

The product of a number and its reciprocal equals 1.

Signs and Fractions

If either the denominator or numerator is negative, the fraction is considered a negative fraction. If both the denominator and the numerator are negative, the fraction is considered to be a positive fraction.

Adding two fractions of the same sign (either positive or negative) gives an answer with the same sign. You may need to give the fractions common denominators first.

Are you looking for more help with fractions? Check out this article on how to add, subtract, multiply and divide fractions. Also consider taking an online course in basic math or pre-algebra to brush up your math skills.

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Also check yt videos for effective learning

Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

We have ,

Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.

The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.

Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.

Hence, Walton's actual check average is $9.52

The actual food cost is lower than the flexible budget by $5020

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complete question:

A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?

b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?

d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?

e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?

f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?

g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?

h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?

Answer:

33

plsss mark brainliestt

Step-by-step explanation:

4(7)+23+2/8-3

28+25/5

28+5=33

The 95% confidence interval estimate for the mean number of absences for clerical workers during the year is (8.132, 11.268).

It should be noted that the mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given a = 0.05, Z(0.025) = 1.96 (from standard normal table).

The 95% confidence interval will be:

xbar +/- Z*s/vn

= 9.7 +/- 1.96*4/✓(25)

= (8.132, 11.268)

Therefore, the 95% confidence interval is (8.132, 11.268).

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Answer:

X=22/5

Step-by-step explanation:

By cross multiplication

5/2 =11/x

5x = 2(11)

5x =22

X=22/5

Hope this helps..

Answer:

x²-5x+6 =0

x²-3x-2x+6 =0

x(x-3)-2(x-3)=0

(x-2)(x-3) =0

x-2 =0, x-3 = 0

x=2 , x = 3

x = 2 or 3 answer

The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

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The first derivative of the function is:  f'(x) = 4x² - 2x - 1.

f(3) = 64/3

The derivative is a way to show the instantaneous rate of change, that is, the amount by which a function is changing at one given point. It is also called differentiation.

We have:

f''(x) = 8x - 2

f'(-1) = 5

f(-1) = -4

By integration of f''(x):

f'(x) = 4x² - 2x + C    (where C is a constant)

Since f'(-1) = 5:

f'(-1) = 4(-1)² - 2(-1) + C

5 = 4(-1)² - 2(-1) + C

5 = 4 + 2 + C

5 = 6 + C

C = 5 - 6

C = -1

Put C = -1 in f'(x) = 4x² - 2x + C

Thus, f'(x) = 4x² - 2x - 1

Tp find f(3), we need to find f(x).

By integration of f'(x):

f(x) = 4x³/3 - x² - x + C

Since f(-1) = -4:

f(x) = 4(-1)³/3 - (-1)² - (-1) + C

-4 = 4(-1)³/3 - (-1)² + 1 + C

-4 = -4/3 - 1 + 1 + C

-4 = -4/3 + C

C = -4 + 4/3

C = -8/3

Thus, f(x) = 4x³/3 - x² - x - 8/3

Thus, f(3):

f(x) = 4x³/3 - x² - x - 8/3

f(3) = 4(3)³/3 - (3)² - 3 - 8/3

f(3) = 64/3

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