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liraira [26]
3 years ago
11

-4x <8 solve the inequality

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

x>−2

Step-by-step explanation:

−4x<8

Step 1: Divide both sides by -4.

−4x

−4

<

8

−4

x>−2

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area
elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

SA=2\pi r^2 + 2\pi r h

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi

Original SA is 44\pi,

Halving diameter makes it 20\pi

Halving height makes it 26\pi

So, halving diameter does not have same effect as halving height.

5 0
3 years ago
An environmental design architect creates a model of a park. The scale is 1.5 cm = 2.5 feet. How tall is the actual tree. The tr
olga nikolaevna [1]

12.5 feet

2.5•5=12.5 feet

Here the answer

5 0
3 years ago
Read 2 more answers
34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1
bixtya [17]

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = 13.9/12/100=0.011583

n = 12+4=16

The EMI formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

Now putting the values in formula we get;

\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }

=> \frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }

= $35.10

Therefore, the monthly payment is $35.10.

8 0
3 years ago
8. The Last Supper
Salsk061 [2.6K]

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

  • Chris can only take 1 seat (i.e. the central seat)
  • Jo can take 2 seats (i.e. the seats adjacent the central seat)
  • Alex, Barb and Dave can take 3! number of seats
  • Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
  • The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

n = 1 * 2 * 3! * 3! * 4!

Evaluate the product

n = 1728

Hence, there are 1728 possible sitting arrangements

Read more about permutation at:

brainly.com/question/12468032

7 0
2 years ago
Which r–value represents the strongest negative correlation?<br><br> –0.7<br> –0.22<br> 0.38<br> 0.9
inn [45]

Answer:

Option A is correct.

The value of r = -0.7 represents the strongest negative correlation.

Step-by-step explanation:

A correlation is a  value that describes a relationship between two things  or variables.

Strongest Negative Correlation says that closer a negative correlation to -1, the stronger the relationship between the two variables.

From the options,  we have only two negative values i.e, r= -0.7 and r= -0.22.

We have to find the strongest negative correlation r-value.

By the definition, you can see that -0.7 is very closer to -1 ,

therefore, the  value of r = -0.7 represents the strongest negative correlation.


3 0
3 years ago
Read 2 more answers
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