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myrzilka [38]
3 years ago
11

What is the value of x?

Mathematics
1 answer:
sattari [20]3 years ago
4 0

Answer:

Step-by-step explanation:

0 + 2x = 10

2x = 10 -30

2x = -20

X = -20/ 2

X = -10

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Surface area of a cylinder with a diameter of 14 and height is 9
Setler79 [48]
The radius is 7 if the diam. is 14.  We can find the surface area (without top or bottom areas) by finding the circumference of the base and then multiplying it by the height:

C=pi*d = pi(14); height = 9.  Then the surface area of the side(s) is 14(pi)(9).

If you wish to include the areas of the top and bottom of the cylinder, add 
2(pi)r^2 = 2(pi)(7)^2.

6 0
3 years ago
Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the<br> equations.
jeka57 [31]

Answer:

(X, y) =(3,-3)

Step-by-step explanation:

Use second equation

Apply to the first

5 0
3 years ago
The first two terms of a sequence are a1 =4 and a2= -2. Let a3 be the third term when the sequence is arithmetic and let b3 be t
stepan [7]

Answer:

a3 + b3 = -7

Step-by-step explanation:

When the sequence is A.P

a1 =4 and a2= -2

Common difference,d = a2 - a1

= -2 - 4

d = -6

a3 = third term

a3 = a1 + 2d

= 4 + 2(-6)

= 4 - 12

= -8

a3 = -8

When the sequence is geometric

a1 =4 and a2= -2

Common ratio, r = a2/a1

= -2/4

r = -1/2

Or

r = -0.5

b3 = third term

b3 = ar²

= 4 * (-1/2)²

= 4 * 1/4

= 4/4

= 1

b3 = 1

a3 + b3 = -8 + 1

= -7

a3 + b3 = -7

8 0
3 years ago
In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet.
Alex777 [14]

Answer:

0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}

Option d.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

79 percent of adults age 18 years and older in the United States use the Internet.

This means that \pi = 0.79

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.33.

Which of the following should be used to find the sample size (n) needed?

We have to find n for which M = 0.025

So the equation is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}

Option d.

4 0
3 years ago
If sinx=4/5 what is cos(90-x)
masya89 [10]
        sin(x) = ⁴/₅
sin⁻¹[sin(x)] = sin⁻¹(⁴/₅)
               x ≈ 53.13

       cos(90 - x) = cos(90)cos(x) + sin(90)sin(x)
cos(90 - 53.13) = cos(90)cos(53.13) + sin(90)sin(53.13)
       cos(36.87) = 0cos(53.13) + sin(53.13)
       cos(36.87) = sin(53.13)
       cos(36.87) = cos(90 - 53.13)
       cos(36.87) = cos(36.87)
5 0
4 years ago
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