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Brums [2.3K]
3 years ago
6

(Question 63) I have the answer in my book, but I have no idea how they got it, so any explaination would be super helpful! Than

k you!!

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

You have to know that the graph of the arctangent function is a flat S-shaped curve that goes through (0, 0) and has asymptotes at ±π/2. The factor of 2 that multiplies it here expands it vertically so the asymptotes are at ±π. The +3 added to the x causes it to be shifted to the left by 3 units.

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A right rectangular prism's edge lengths are 14 inches, 6 inches, and 3 1/3 inches. How many unit cubes with edge lengths of 2/5
DochEvi [55]

ANSWER

4375 unit cubes

EXPLANATION

The volume of a right rectangular prism is given by;

V=lbh

We substitute the given dimension to obtain,

V=14 \times 6 \times  \frac{10}{3}  = 280i {n}^{3}

The volume of the unit cube with edge lengths

\frac{2}{5}

is

(\frac{2}{5})^{3}  =  \frac{8}{125}  {in}^{3}

To find the number of unit cubes that can fit inside the prism, we divide the volume of the rectangular prism by the volume of the unit cube.

=  \frac{280}{ \frac{8}{125} }

= 4375

7 0
3 years ago
A number is chosen at random from the first 100 positive integers. find the probability that the number is divisible by 5. 1/10
Arlecino [84]

The probability that the number chosen is divisible by 5 is; 1/5.

<h3>What is the probability that the number chosen is divisible by 5?</h3>

It follows from the task content that the number of possible outcomes in the probability event is; 100. Additionally, the number of required outcomes is 20 as only 20 numbers are divisible by 5.

Ultimately, the required probability is; 20/100 = 1/5.

Read more on probability;

brainly.com/question/7965468

$SPJ1

8 0
2 years ago
Separate 846 into 3 parts so that the second part is twice the first part and the third part is triple the second part.
Vesna [10]
846/3=x+2x+6x
You must be a high schooler lol
4 0
3 years ago
Read 2 more answers
find the length of the line segment with end points (7,2) and (-4,2) explain how you arrived at your solution
Inga [223]

Answer:

<h2>11 units</h2>

Step-by-step explanation:

Method 1:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (7, 2) and (-4, 2). Substitute:

d=\sqrt{(2-2)^2+(-4-7)^2}=\sqrt{0^2+(-11)^2}=\sqrt{11^2}=11

Method 2:

Look at the picture. Mark points in the coordinate system.

Read the length of the segment.

6 0
3 years ago
Sue invests £9000 in an account for one year.
Anika [276]

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

3 0
3 years ago
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