Ray is late for work but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical and has a height of 9 cm and a base of 7 cm. What is the volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?

A) 113 cm3.
B) 326 cm3.
C) 346 cm3.
D) 424 cm3.

Answer:

[tex]f(x) = 63000(0.97)^x[/tex]

Step-by-step explanation:

Given

[tex]f(0) = 63000[/tex] ---x = 0, in 2012

[tex]f(5) = 54100[/tex] -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]b = rate[/tex]

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

[tex]f(x) = 63000(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]

Set x = 5

[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]

This is true because the calculated values of f(0) and f(5) correspond to the given values

For option (d), we have:

[tex]f(x) = 52477(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

For option (e), we have:

[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined

This is false because the f(x) is not undefined at x = 0

For option (f), we have:

[tex]f(x) = 52477(0.97)^{5x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true

Answer:

Non statistical

Step-by-step explanation:

Answer:

Statistical

Step-by-step explanation:

It depends on ones location because any one lives down the street from the local high school.

A non-statistical question only has one answer such as what is the freezing degree mark in Fahrenheit

Pls mark me brainiest

Answer:

a(x) = √x+3

Step-by-step explanation:

i graphed it on desmos

Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Answer:

(50-10) ÷ (3+2)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E

Answer:

y-intercept is (0,5)

Step-by-step explanation:

When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.

For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).

But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)

Answer:

The area of the shaded region is 21.45cm².

Answer

19 mi

Step-by-step explanation:

Answer:

A,C,D

Step-by-step explanation:

Answer:

ITS ALL OF THEM

JUST DID IT

Answer:

10 x + 5 y

Step-by-step explanation:

Answer:

2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.

Answer:

2 dollars

Step-by-step explanation:

Answer:

D)  80.5  cm  sq

Step-by-step explanation:

square  10x7  = 70

Triangle (7x3) /2 = 10.5

70+ 10.5 = 80.5

Answer:

379.94

Step-by-step explanation:

Hope this helps :)

Answer:b

Step-by-step explanation:

Answer:

400m

Step-by-step explanation:

It s be the perimeter.

Length X2 sides + width x 2 sides

125       X2 sides +  75.   X2 sides

        250 + 150

      400m

Answer:

The probability that neither land on orange is (1/2)* (7/8) = 7/16. Hence, the probability that at least one lands on orange is 1 - 7/16 = 9/16.

Step-by-step explanation:

me big brain

Answer:

B, between 0.1 and 0.3 because between them is 0.2!

A, 0.45 is greater than 0.3 so it a little below would be just right!

Answer:

HURRY

Dr. Khan works for the marketing department of a company that manufactures mechanical toy dogs. Dr. Khan has been asked to assess the effectiveness of a new advertising campaign that is designed to be most persuasive to people with a certain personality profile. She brought four groups of participants to the lab to watch the video advertisements and to measure the likelihood that they would purchase the toy, both before and after watching the ad. The results of Dr. Khan’s study are presented below.

Part A

Explain how each of the following concepts applies to Dr. Khan’s research.

Survey

Dependent variable

Big Five theory of personality

Part B

Explain the limitations of Dr. Khan’s study based on the research method used.

Explain what Dr. Khan’s research hypothesis most likely was.

Part C

Use the graph to answer the following questions.

How did the trait of agreeableness affect how people responded to the new ad campaign?

How did the trait of conscientiousness affect how people responded to the new ad campaign?

Answer:

3 [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

To find the largest number add the value of the range to the smallest number.

- 2 [tex]\frac{3}{8}[/tex] + 6 [tex]\frac{1}{4}[/tex] ( change to improper fractions )

= - [tex]\frac{19}{8}[/tex] + [tex]\frac{25}{4}[/tex]

= - [tex]\frac{19}{8}[/tex] + [tex]\frac{50}{8}[/tex]

= [tex]\frac{31}{8}[/tex]

= 3 [tex]\frac{7}{8}[/tex]

An employee has a probability of 0.19706 to make between $70,000 and $80,000

Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes

Let X be the annual salary of employees in a large company.

Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:

[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]

[tex]P(0.833 < z < 2.5)[/tex]

= 0.99379 - 0.79673 (from normal distribution table)

= 0.19706

Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706

Learn more on Probability here:

brainly.com/question/24756209

#SPJ1

Answer:

33.8

Step-by-step explanation:

a²+b²=c²

15²+b²=37²

225+b²=1369

-225     -225

b²=1144

√1144

b=33.8

The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

If you place a 37-foot ladder against the top of a 15-foot building.

Let BC be the distance from the bottom of the ladder to the bottom of the building.

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

Answer:

x=67º

Step-by-step explanation:

First since the supplementary angle next to 157º is in the triangle, we can find that. 180-157 = 23. Then we can use triangle angle sum theorem to find x. 180-(23+90) = 67º

Answer: A

HOPE THIS HELPS

Answer:

However, if you're trying to find the arc length of a partial circle, it's not the same as the circumference of the same circle wholly. You need to find out the circumference of the whole circle first before you can find the arc length (or the circumference of the partial circle).

Step-by-step explanation:

Answer:

9.42 units

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Alright, so two of the points are: (0,25) (1,75)

Now we line them up:

(0,25)

(1, 75)

And, 0 to 1 has "1" as a difference.

That'll go on the bottom.

25 to 75 has a "50" difference.

That goes on top.

And then we get the slope of 50.

Hope this helped! :)

Answer:

Slope = 50

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

(1,75) (2,125)

125 - 75/2-1

125-75 = 50

2-1 = 1

50/1 = 50