Ask question

Ask question

All categories

3 years ago

11

In a psychological experiment, a person is able to memorize M words in t minutes, where M= -0.001t^3 + 0.1t^2. Find the average

rate of change in the number of words a person can memorize between 10 minutes and 20 minutes

1 answer:

kherson [118]3 years ago

6 0

I think it’s 80085 bc you have to power it to the 43110

You might be interested in

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price. Find the cost price.

hjlf

Answer:

Step-by-step explanation:

<h2><u>☼︎</u><u>Answer:</u></h2>

The cost price of cow = Rs.80

Explanation:

<h2><u>☼︎</u><u>Given :-</u></h2>

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price.

<h2><u>☼︎</u><u>T</u><u>o Find</u><u>:</u><u>-</u></h2>

The cost price.

<h2 /><h2 /><h2><u>☼︎</u><u>L</u><u>e</u><u>t</u><u>:</u><u>-</u></h2>

The cost price of cow = Rs.x

<h2><u>☼︎</u><u>Solution :-</u></h2>

$\sf x + x \: of \: x\%= 144 \\ \\ \sf \implies x + \frac{x \times x}{100} = 144 \\ \\ \sf \implies {x}^{2} + 100x - 14400 = 0 \\ \\ \sf \implies x(x - 80) + 180(x - 80) = 0 \\ \\ \sf \implies x + 180 = 0 \\ \\ \sf \implies x = - 180 \\ \\ \sf \therefore \: {\boxed{ \sf \pink{x = 80}}}$

<h2><u>Hence: </u></h2>

The cost price of cow =<u>R</u><u>s</u><u>8</u><u>0</u>

4 0

3 years ago

Read 2 more answers

Instructions: Find the measure of the indicated angle to the nearest

Alexandra [31]

Answer:

x = 23

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan ? = 3/7

Taking the inverse tan of each side

tan ^-1 ( tan ?) = tan ^-1 (3/7)

?=23.19859

To the nearest degree

x = 23

5 0

3 years ago

How do you make a word problem for a two step inequality equation

8_murik_8 [283]

First :<span>Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
second:</span>
<span> Simplify using the inverse of addition or subtraction. Simplify further by using the inverse of multiplication or division.
then find what you want to use!
</span>

8 0

4 years ago

Read 2 more answers

Suppose Viviana sent 100 text messages to her friend. She plans to send an additional 10

Vsevolod [243]

Answer:

20 More Periods

Step-by-step explanation:

Just Divide 200/10 and you get 20.

4 0

3 years ago

Simplify the following 3/5×(7/10+2/5)/ 5 2/3+1 3/8-2 1/4

Inessa [10]

Answer:

(-2579)/3400

Step-by-step explanation:

Simplify the following:

3/5 (7/10 + 2/5)/(5 + 2/3) + 1 + 3/8 - (2 + 1/4)

(3 (7/10 + 2/5)/(5 + 2/3))/5 = (3 (7/10 + 2/5))/(5 (5 + 2/3)):

(3 (7/10 + 2/5))/(5 (2/3 + 5)) + 1 + 3/8 - (2 + 1/4)

Put 5 + 2/3 over the common denominator 3. 5 + 2/3 = (3×5)/3 + 2/3:

(3 (7/10 + 2/5))/(5 (3×5)/3 + 2/3) + 1 + 3/8 - (2 + 1/4)

3×5 = 15:

(3 (7/10 + 2/5))/(5 (15/3 + 2/3)) + 1 + 3/8 - (2 + 1/4)

15/3 + 2/3 = (15 + 2)/3:

(3 (7/10 + 2/5))/(5 (15 + 2)/3) + 1 + 3/8 - (2 + 1/4)

15 + 2 = 17:

(3 (7/10 + 2/5))/(5×17/3) + 1 + 3/8 - (2 + 1/4)

Put 7/10 + 2/5 over the common denominator 10. 7/10 + 2/5 = 7/10 + (2×2)/10:

(3 7/10 + (2×2)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

2×2 = 4:

(3 (7/10 + 4/10))/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

7/10 + 4/10 = (7 + 4)/10:

(3 (7 + 4)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

7 + 4 = 11:

(3×11/10)/(5×17/3) + 1 + 3/8 - (2 + 1/4)

5×17/3 = (5×17)/3:

(3×11/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

3×11/10 = (3×11)/10:

((3×11)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

Multiply the numerator by the reciprocal of the denominator, ((3×11)/10)/((5×17)/3) = (3×11)/10×3/(5×17):

(3×11×3)/(5×17×10) + 1 + 3/8 - (2 + 1/4)

5×17 = 85:

(3×11×3)/(85×10) + 1 + 3/8 - (2 + 1/4)

85×10 = 850:

(3×11×3)/850 + 1 + 3/8 - (2 + 1/4)

3×11 = 33:

(33×3)/850 + 1 + 3/8 - (2 + 1/4)

33×3 = 99:

99/850 + 1 + 3/8 - (2 + 1/4)

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

99/850 + 1 + 3/8 - (4×2)/4 + 1/4

4×2 = 8:

99/850 + 1 + 3/8 - (8/4 + 1/4)

8/4 + 1/4 = (8 + 1)/4:

99/850 + 1 + 3/8 - (8 + 1)/4

8 + 1 = 9:

99/850 + 1 + 3/8 - 9/4

Put 99/850 + 1 + 3/8 - 9/4 over the common denominator 3400. 99/850 + 1 + 3/8 - 9/4 = (4×99)/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400:

(4×99)/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400

4×99 = 396:

396/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400

425×3 = 1275:

396/3400 + 3400/3400 + 1275/3400 + (850 (-9))/3400

850 (-9) = -7650:

396/3400 + 3400/3400 + 1275/3400 + (-7650)/3400

396/3400 + 3400/3400 + 1275/3400 - 7650/3400 = (396 + 3400 + 1275 - 7650)/3400:

(396 + 3400 + 1275 - 7650)/3400

| 1 | 1 | 1 |

| 3 | 4 | 0 | 0

| 1 | 2 | 7 | 5

+ | | 3 | 9 | 6

| 5 | 0 | 7 | 1:

(5071 - 7650)/3400

5071 - 7650 = -(7650 - 5071):

(-(7650 - 5071))/3400

| | | 14 |

| | 5 | 4 | 10

| 7 | 6 | 5 | 0

- | 5 | 0 | 7 | 1

| 2 | 5 | 7 | 9:

Answer: (-2579)/3400

4 0

4 years ago