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My name is Ann [436]
3 years ago
8

What is the value of x in the equation 3/2 (4X - 1) - 3x = 5/4 - (x +2)

Mathematics
1 answer:
Leokris [45]3 years ago
6 0

Step-by-step explanation:

3/2(4x-1)-3x = 5/4-(x+2)

6x -3/2 -3x = 5/4 -x -2

3x -3/2 = 5/4-2-x

4x=5/4 -2 +3/2

4x= (5-8+6)/4

4x=3/4

x=3/16

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You deposit $2000 in an account that eams simple interest at an annual rate of 496. How
GenaCL600 [577]

Answer:

T=100I/PR

T=(100×500)/(2000×4.96)

T=5/(2×4.96)

T=5/9.92

T=0.5years

6 0
2 years ago
How is multiplying and dividing numbers in scientific notation different from adding and subtracting numbers in scientific notat
cupoosta [38]

Answer:

multiple and divide are depending on the powers ( sometimes the numbers before the scientific n.)

If the power neg- , it's going down

like this 10^-5 = 1/10^5

If the power pos+ , it's the same idea but different in signs .

Adding and subtracting are depending on numbers ( If the scientific n. is the same number) .

for example:

3x10^5 + 4x10^5 = (3+4)x10^5 = 7x10^5

6 0
3 years ago
A football is kicked vertically upward from a height of 2 feet with an initial speed of 50 feet per second. The formula h=2+50t-
Oksanka [162]

Answer: 38 feet.

Step-by-step explanation:

The equation of motion of a body thrown vertically upwards:

                                       \displaystyle\\\boxed {h=h_0+v_0t-\frac{gt^2}{2} \ \ \ \ \ (1)},

h_0=2 \ feet\ \ \ \  v_0=50\  feet\  per\  second.

Substitute in formula (1) the value t=2 c:

h=2+50*2-16*2^2\\h=2+100-16*2*2\\h=102-64\\h=38\ feet.

5 0
1 year ago
Write that down the equation for the lines that is the graphs are depicted below
erastovalidia [21]
  • A(1,2)

Find slope of line (m)

\\ \sf\longmapsto m=\dfrac{2-0}{1-0}

\\ \sf\longmapsto m=2

Putting in y=mx+b

\\ \sf\longmapsto y=mx+b

\\ \sf\longmapsto 2=2(1)+b

\\ \sf\longmapsto 2=2+b

\\ \sf\longmapsto b=2-2=0

Equation of the line

\\ \sf\longmapsto y=2x

4 0
3 years ago
Read 2 more answers
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal
Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The other parameters are given as follows:

\overline{x} = 111000, \sigma = 36730, n = 36

Hence, the lower bound of the interval is:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002

The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
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