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3 years ago

PLEASE HELP If you can i'd really appreciate it!!!

Mathematics

1 answer:

dedylja [7]3 years ago

6 0

Answer:

The volume is 22.44 cubic inches

Step-by-step explanation:

The formula for the volume of a sphere is

We know the diameter, but we can easily convert this into the radius by dividing it by 2, since the diameter is twice as long as the radius.

3.5/2 = 1.75

Now we can find the volume.

So, the average volume of a clementine is 22.46 cubic inches

The closest option you have is 22.44 so if you round it that should be your answer.

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Evaluate gh- k when g= -6, h= 15, and k= -27.

Ivanshal [37]

Gh - k
g= -6, h= 15, and k= -27

-6*15 - - 27
-90 + 27

-63 is the answer to the expression.

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3 years ago

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On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.

Triss [41]

All 3 triangle angles sum to 180 degrees.
So third angle = 180 -40 -60
third angle = 80 degrees

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3 years ago

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A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

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3 years ago

The floor at a roller skating rink is 72.25 feet long and 51.5 feet wide. How much longer is the rink than it is wide?

3241004551 [841]

Answer:

The rink is 20.75 ft longer

Step-by-step explanation:

Simply subtract the width from the length.

72.25-51.5= 20.75 ft

3 0

3 years ago

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In math the words transformation means to blank, blank, blank, or blank a figure

alukav5142 [94]

Answers:

Translate
Reflect
Rotate
Dilate

This can be stated in any order

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

Explanation:

In geometry, a translation is where you slide a point or figure some distance left, right, up or down.

A reflection will mirror a point over a line, or you could mirror a point over another point.

A rotation turns a point around a fixed center point.

A dilation scales the figure to be larger or smaller.

The first three transformations mentioned (translation, reflection, rotation) are known as rigid transformations. They keep the figure the same size and shape. A dilation will keep the same shape, but the size will be different, so the before and after figures are not congruent when you apply a dilation.

7 0

3 years ago