How to solve numbers 17-28 Supplementary Problems

sergey [27]

F(x)=-2e^x
x=3
f(3)=-2e^3
pemdas so exponents first
e^3
e=2.718281828454590
cube that
20.0855

now we have
-2 times 20.0855=-40.1711

answer should be -40.1711
(I see what you did wrong, if -6=-2 times e^3, divide -2, 3=e^3, maybe you just put -2 times 3 by mistake)

5 0

3 years ago

Read 2 more answers

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a

belka [17]

Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds <span>it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s
</span>

4 0

3 years ago

Read 2 more answers

A man pays only $60 for an item which originally sells for $100. What percent of the original price does the man pay for the ite

Anni [7]

Answer: 40%. Alternatively, you can think about it this way. The item is 40% off. This means you'll pay 60.000% of the total cost (100% - 40% = 60.000%).

4 0

3 years ago

Read 2 more answers

Four usual dice are thrown on the ground. The total of numbers on the top faces of these four dice is 13 as the top faces showed

NikAS [45]

The total of the faces touching the ground is 15.

<h3 /><h3>What is probability?</h3>

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Given that:

Four usual dice are thrown

Total of numbers on the top faces of these four dice = 13

we know that in a dice, the sum of the numbers on any two opposite faces is always 7.

So,1 is opposite 6,

2 is opposite 5

and 3 is opposite 4.

Now, when 4,3,1 and 5 are the numbers on the top faces, then 3,4,6 and 2 respectively are the numbers on the face touching the ground as they sum upto 7.

Hence, total o faces touching the ground =3+4+6+2=15.

Learn more about probability here:

brainly.com/question/28203837

#SPJ4

6 0

1 year ago

Follow the steps to find the

mixas84 [53]

The area of the triangle is given as: ≈ 70.50cm²

<h3>What is the explanation to the above solution?</h3>

Area of shaded region = Area of the sector less Area of the Triangle.

This is represented as:

π r² (∅/360) - 1/2 x b x h

= π x 14² x (46/360) - (1/2) x 14 x 10.0708

= 78.6794 - 70.4956

= 8.1838 cm²

Hence, the area of the triangle is (1/2) x 14 x 10.0708

= 70.4956 cm²

Learn more about Area of Triangle at:
brainly.com/question/23945265
#SPJ1

3 0

2 years ago