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MariettaO [177]
3 years ago
14

What is the value of the expression 50 - (5 + 2)2 + 6?

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

I believe it's 42

Step-by-step explanation:

Replace each letter in the expression with the assigned value.

First, replace each letter in the expression with the value that has been assigned to it. To make your calculations clear and avoid mistakes, always enclose the numbers you're substituting inside parentheses. The value that's given to a variable stays the same throughout the entire problem, even if the letter occurs more than once in the expression.

However, since variables "vary", the value assigned to a particular variable can change from problem to problem, just not within a single problem.

Perform the operations in the expression using the correct order of operations.

Once you've substituted the value for the letter, do the operations to find the value of the expression.

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Based on the Census, state A has 17 fewer electoral votes for president then state B. If the total number of electoral votes for
makkiz [27]
X = B.......x - 17 = A

x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes

x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes



6 0
3 years ago
I’m confused someone explain please
Naya [18.7K]

Answer:

3(x - 12)(x + 2)

Step-by-step explanation:

Given

3x² - 30x - 72 ← factor out 3 from each term

= 3(x² - 10x - 24) ← factor the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) and

3x² - 30x - 72 = 3(x - 12)(x + 2)

3 0
3 years ago
Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs
Lera25 [3.4K]

Answer:

130.2845\leq h\leq 137.7245

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

|h - (2.47f + 54.10)| \leq  3.72

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

|h - (2.47(32.25) + 54.10)| \leq  3.72\\|h - (79.9045 + 54.10)| \leq  3.72\\|h - (134.0045)| \leq  3.72\\

If the modulus function is positive then:

h - 134.0045 \leq  3.72\\h \leq 3.71+134.0045\\h\leq 137.7245

If the modulus function is negative then:

-(h - 134.0045) \leq  3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\

multiply through by -1

-(-h)\geq  -(-130.2845)\\h\geq 130.2845\\130.2845\leq h

combining the resulting inequalities, the estimate of the possible range of heights will be 130.2845\leq h\leq 137.7245

8 0
3 years ago
HELP THIS IS DUE TODAY
masya89 [10]

Answer:

7) circumference = 11.78 ft

8) arc NMP = 198° or 27.63 ft

Step-by-step explanation:

7) circumference = πd = (3.14) (3 3/4) = 11.78 ft

8) radius = 8 ft

diameter = 2 x 8 = 16 ft

arc NM + arc QP = 360° - 162° - 162° = 36°

arc NM = arc QP because they are arcs of vertical angles.

arc QP = 18°

arc NMQ = 180°

arc NMP = 180° + 18° = 198°

circumference = πd = (3.14)(16) = 50.24 ft

(198°/360°)(50.24) = 27.63 ft

5 0
2 years ago
3. Suppose you are testing H0 : µ = 20 vs H1 : µ > 20. The sample is large (n = 71) and the variance, σ 2 , is known. (a) Fin
LUCKY_DIMON [66]

Answer:

We reject the null hypothesis.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 71

Population variance is known.

Level of significance, α = 0.08

z_{\text{stat}} = 1.56

The null and alternate hypothesis are:

H_{0}: \mu = 20\\H_A: \mu > 20

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} } = 1.56

Now, z_{critical} \text{ at 0.08 level of significance } = 1.41

Since,  

z_{stat} > z_{critical}

We fail to accept the null hypothesis and reject it and accept the alternate hypothesis.

7 0
3 years ago
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