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Alja [10]
3 years ago
7

1. 8x – 4 = 12x + 12

Mathematics
1 answer:
olga_2 [115]3 years ago
3 0
7(x-2) +3x=46
7x-14+3x=46
10x-14=46
10x=60
X=6
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6^2-3^4 divided by 3^4
DerKrebs [107]

Answer:

35

Step-by-step explanation:

6^2 - 3^4 / 3^4

<em>Evaluate The Power</em>

36 - 3^4 / 3^4

<em>Any Expression Divided By Itself Is 1</em>

36 -1

<em>Subtract</em>

35

6 0
3 years ago
The time to complete an exam is approximately Normal with a mean of 70 minutes and a standard deviation of 10 minutes. Using the
MatroZZZ [7]

Answer:

16% of students will complete the exam in less than 60 minutes

Step-by-step explanation:

The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 70

Standard deviation = 10

What percentage of students will complete the exam in less than 60 minutes

60 = 70-10

So 60 is one standard deviation below the mean

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.

16% of students will complete the exam in less than 60 minutes

5 0
3 years ago
1. a -7 when a = 3 a + 7 = 3 + 7 = __​
Tanya [424]

Answer:

If a = 3

a -7 = -4

Step-by-step explanation:

Here, we want to find the value of a -7 given that a = 3

To find this value, we are going to make a substitution

We simply substitute 3 for the value of a

we have this as;

3 -7 = -4

3 0
3 years ago
Which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14
Vsevolod [243]

Answer:

f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\

option 1: x + 2

3 0
3 years ago
Find the value of the expression<br><br> dc + 2h<br><br><br> for c = 2, d = 3, and h = 3.
iren2701 [21]

Answer:

12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

dc + 2h

c = 2

d = 3

h = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                        3(2) + 2(3)
  2. Multiply:                            6 + 6
  3. Add:                                  12
7 0
3 years ago
Read 2 more answers
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