Neglecting air resistance, an object in free fall accelerates at 32 feet per second squared. So the velocity of the object t seconds after being dropped is 32t feet per second. Suppose a ball is dropped from the top of the Sears Tower.
Use integration to find how far the ball would fall in the first six seconds.
a.
546
c.
576
b.
567
d.
612

Answers

Answer 1

Answer:

The correct answer is 576

Step-by-step explanation:

Use integration to solve. Correct on edge 2021


Related Questions

Choose an expression that equals 56.
**Option 1**
22x14
**Option 2**
23x6
**Option 3**
25-22
**Option 4**
26-7

Answers

Answer:

Option 1 - 56

Step-by-step explanation:

Rise 2 to the power of 2

4*14 = 56

Thiago is saving to buy a new bike that costs $90. He has saved $75. What fraction of the cost has Thiago already saved?

Answers

Thiago has saved 5/6

Answer:

5/6

Step-by-step explanation:

Total cost - $90

Saved - $75

Fraction ( before simplifying ) - 75/90

Fraction ( after simplifying ) - 5/6

There you go :)

When a number is divided by 6 the answer is 37 with a remainder of 4 what is the number

Answers

Answer:

6 × 37 + 4 = 226 is the answer

Answer: 226

Step-by-step explanation: 37 times 6 equals 222 if you add 4 it gives you 226. 226 divided by 6 equals 37 with a remainder of 4. Hope this helps!

Select ALL the sets of three side lengths that will make a triangle.
3, 4, 8
7, 6, 12
5, 11, 13
4, 6, 12
4, 6, 10​

Answers

Answer:

7 + 6

5 + 11

Step-by-step explanation:

the lengths of the two shorter sides of a triangle must add up to more than the length of the third side.

3 + 4 = 7 ≤ 8    no

7 + 6 = 13 > 12   yes

5 + 11 = 16 > 13  yes

4 + 6 = 10 ≤ 12  no

4 + 6 = 10 ≤ 10  no

2 Answers:B) 7, 6, 12C) 5, 11, 13

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

Explanation:

We'll use the triangle inequality theorem. Recall that this theorem says that a triangle is only possible if and only if adding any two sides leads to a sum larger than the third side.

Let's say we had a triangle with sides a,b,c. Such a triangle is only possible if all three conditions hold true

a+b > cb+c > aa+c > b

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

Let's go through each answer choice to see if those conditions hold up.

Choice A. We have a = 3, b = 4, c = 8. Note that a+b = 3+4 = 7 which is not greater than c = 8. Therefore a+b > c is false, and we cannot make a triangle here. We don't need to check the other inequalities. I recommend you trying it out by cutting out slips of paper of these lengths. You'll find a triangle cannot be constructed. We can rule out choice A.Choice B. We have a = 7, b = 6 and c = 12. We can see that a+b = 7+6 = 13 which is larger than c = 12. So far, so good. Then note that b+c = 6+12 = 18 which is larger than a = 7. Finally, a+c = 7+12 = 19 which is larger than b = 6. Picking any two sides, adding them up, leads to a sum larger than the third side. A triangle is possible in this case. Choice B is one of the answers.Choice C. This time a = 5, b = 11, c = 13. You should find that a triangle is possible following the same steps as done in choice B above. Adding any two sides leads to a sum larger than the third side. Choice C is one of the answers. Choice D. Now we have a = 4, b = 6, c = 12. Then note a+b = 4+6 = 10 which is too small compared to c = 12. Meaning a+b > c is false. A triangle isn't possible. Cross choice D off the list.Choice E. In this case, a = 4, b = 6 and c = 10. Adding the first two values gets us a+b = 4+6 = 10 which is not larger than c = 10. If you used slips of paper, you'd find that a straight line is formed rather than a triangle. Cross choice E off the list.

To wrap things up, only choice B and choice C are possible triangles because adding any two sides leads to a sum larger than the third side.

All of the following are equivalent except _____.
7.5:4.5
5 is to 3
15/5
45/27

Answers

Answer:

15/5

Step-by-step explanation:

because 7.5 ÷ 4.5 = 1.66667

5 ÷ 3 = 1.66667

and 45 ÷ 27 = 1.66667

but 15 ÷ 5 = 3 therefore it's the off one out.

what is the volume of the rectangular prism

Answers

Answer:

1 1/9

I THINK

HOPE IT HELPED

Answer:

30

Step-by-step explanation:

Volume=whl=2·5·3=30

Plz I need help with only the perimeter one

Answers

Answer:

I believe the answer is 25.3

Answer:

25.4

Step-by-step explanation:

add em up then put the .3 after you add it up


What is the solution set of the system of equations
x+y = 5 and y=x^2- 25?
1) {(0.5) (11,-6)}
2) {(5,0).(-6,11)
3) {(-5,0),(6,11)
4) {(-5,10).(6.-1)

Answers

You can basically just plug in the values. “2) {(5,0).(-6,11)}” is correct.

AB has points A at (2,−5) and B at (5,−3).

AB iis reflected across the y-axis and then translated 3 units right. What are the coordinates of the endpoints of the image A′B'?

Answers

9514 1404 393

Answer:

A'(1, -5)B'(-2, -3)

Step-by-step explanation:

Reflection over the y-axis and translation 3 right is modeled by the transformation ...

  (x, y) ⇒ (-x +3, y)

Then the image end points are ...

  A(2, -5) ⇒ A'(-2+3, -5) = A'(1, -5)

  B(5, -3) ⇒ B'(-5+3, -3) = B'(-2, -3)

_____

In the attached figure, the reflection is shown as A'B' in light purple. The line after the final translation is shown as A"B" in blue.

It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.

Answers

Answer:

F. None of the above.

Step-by-step explanation:

Let the null and alternate hypothesis be

H0: p1 ≥ p2 against the claim Ha: p1 < p2

the significance level is 0.1

The critical region is z < z∝= 1.28

The test statistic is

Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2

Here n1= 45 ,   n2= 75

         p1= 0.12         p2= 0.14

         q1= 0.88        q2= 0.86

z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75

Z=  0.02/ √0.00235 + 0.00161

Z=  0.02/0.062891

z= 0.318

The calculated value of z= 0.318  lies in the critical region z < 1.28

therefore accept Ha.

All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .

Plz help find the rule 50 points

Answers

Answer:

1², 2²,3², 4², 5², 6², 7², 8², 9², 10², 11², 12², 13², 14², 15², 16², 17², 18², 19², 20²,........

Each number is multiplied by itself.

According to Descartes rule what is the possible number of positive roots and negative roots

Answers

Answer:

Step-by-step explanation: There is exactly one positive root; there are two negative roots, or else there are none .

If x=-4 what is the value of the following expression?

2x^2 +3x -2

18
12
-22
-46

Answers

Answer:

i think it's -46 but i don't know srry if this does not help

Step-by-step explanation:

Find the sum of the interior angle measures of a 5-gon.

Answers

Answer:

540°

Step-by-step explanation:

The sum of interior angles in a polygon is equal to 180(x-2) where x is the number of sides. Since there are 5 sides, 180(5-2)=540°.

a radio costs $40. the tax rate is 7.5%. what is the tax on this radio?

Answers

The new price would be $40 x 1.75 which is $70

ANSWER THIS ASAP DONT SEND A FILE AT ALL !! I NEED SO SUBMIT IN 3 MINUTES HELPP!!

Answers

Answer:

(1, -2) is the coordinate of B' after a rotation of 90 degrees

Plz help me well mark brainliest if correct.....???

Answers

Answer:

A) 18 students

Step-by-step explanation:

Write a exponential growth word problem and a exponential decay word problem

Answers

Answer:

Step-by-step explanation:

Growth:

You put 100 dollars into a fund which accumulates at a rate of 5% per annum. How much will be in the fund at the end of 10 years (to the nearest cent)?

answer: 100(1.05)¹⁰=162.89

Decay:

You buy a car for 10,000, and each year its value decreases by 5%. What is the car worth 10 years from now (to the nearest cent)?

answer: 10000(.95)¹⁰=5987.37

Pleaseeee helpppppppp!!!

Answers

Answer:

x = 46°

Step-by-step explanation:

Appling the principle of supplementary angle in Geomentry.

Supplementary angle: These are angles that sum up to 180°

From the diagram above, x and 134° are supplementry because they sum up to 180°.

Therefore,

134+x = 180 (Supplementary angle)

Solve for x

x = 180-134

x = 46°

Therefore, the value of the missing angle is 46°

Help please!!!! will Brainly!!!

Answers

Answer:

true

Step-by-step explanation:

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

True :) have a nice day! :) can u make me brainliest? Pls :)? Ty ✨

If a price decreases by 20%, I can calculate 20% of the price and subtract it
from the original price.
Or I can calculate in one step if I find ____ % of the original price

Answers

Answer:

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)

Step-by-step explanation:

Solve for x . Round to the nearest tenth, if necessary.
D
x
C
1
B
30

Answers

Answer: 0.6

Step-by-step explanation:

Evaluate the expression for x = 4.
10 + 2x - 3
O A. 15
B. 45
C. 36
D. 12

Answers

Answer:

The answer to this equation is A.

the answer is a because if you follow the pemdas rule you do 2*4 = 8 + 10 = 18 and 18-3 is 15

The Unit Circle

What is sin 90°?

a. 0
b. 1
c. -1
d. 1/2

Please select the best answer from the choices provided

Answers

The answer is one :)

Answer:

B. 1

Step-by-step explanation:

I calculated logically

Choose all the numerals that when you multiplied by 58 equal a product greater than 58.

Answers

Anything greater then one?

The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?

Answers

Answer:

subject?

Step-by-step explanation:

Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?

Answers

Answer:

Da Answer is Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?

Step-by-step explanation:

LESSSSSSS GOOOOOOOOOO

A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be blue?

Answers

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

I do need to know NOTHING.

Answers

Answer:

Thats cool man.

Step-by-step explanation:


A cyclist travels 4.9 km in 30 minutes.
What is his average speed in km/h?

Answers

Answer:

9.8 km/h

Step-by-step explanation:

Since there are 60 minutes in an hour, we can find his speed in km/h by multiplying 4.9 by 2.

4.9(2)

= 9.8

This means that he will travel 9.8 km in 60 minutes (1 hour).

So, his average speed is 9.8 km/h

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