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2 years ago

Find the value of the following without any exponents.

Mathematics

2 answers:

FrozenT [24]2 years ago

6 0

A)7^2=1/49
B)(8^4)^2 divided by 8^11=1/512

soldier1979 [14.2K]2 years ago

3 0

Answer:

A.) 1/49

B.) 1/512

Step-by-step explanation:

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Since you said angle, I assume you mean a triangle, so:

Take the number of the angles you have and add them, then, subtract it by 180. It gives you the missing angle of your triangle!

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3 years ago

Read 2 more answers

Write the product using exponents -3/7×3/7×3/7<br>

zlopas [31]

Answer:

$-(\frac{3}{7})^3$

Step-by-step explanation:

Since we see that 3/7 is multiplied by itself three times, we can use exponents as a shorter way to write this. The expontent tells us how many times the base number, 3/7, is multiplied by itself.

$-1 * (\frac{3}{7})^3$ = $-1 * \frac{3}{7} * \frac{3}{7} * \frac{3}{7}$

We then multiply by -1 to (3/7)^3 to get the exact answer.

$-(\frac{3}{7})^3$

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3 years ago

Ten samples were taken from a plating bath used in an electronics manufacturing process, and the bath pH was determined. The sam

Korolek [52]

Answer:

There is no sufficient evidence to support the claim.

Step-by-step explanation:

Given the data:

7.91, 7.85, 6.82, 8.01, 7.46, 6.95, 7.05, 7.35, 7.25, 7.42

Sample size, n = 10

The sample mean, xbar = ΣX/ n = 74.07 / 10 = 7.407

The sample standard deviation, s = 0.41158 ( from calculator)

The hypothesis :

H0 : μ = 7

H0 : μ ≠ 7

The test statistic :

(xbar - μ) ÷ (s/√(n))

(7.047 - 7) ÷ (0.41158/√(10))

0.047 / 0.1301530

Test statistic = 0.361

Testing the hypothesis at α = 0.05

The Pvalue ;

df = n - 1 ; 10 - 1 = 9

Two tailed test

Pvalue(0.361, 9) = 0.7263

Since the Pvalue > α ; we fail to reject the Null and conclude that there isn't sufficient evidence to support the claim.

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3 years ago

The point (0,10) is called a ____-intercepta?

RUDIKE [14]

Answer: y-intercept

Explanation: A point is classified as (x, y) and in order for this ordered pair to be a y-intercept, we need to have the x-coordinate be 0.

Since the x-coordinate is 0, this is a y-intercept.

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3 years ago

1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating

elixir [45]

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

<h3>The equation of the theatre's income</h3>

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

<h3>The equation of the theatre's expenses</h3>

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

<h3>Complete the table</h3>

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x 0 10 20 30 40 50 60 70

Income, I 0 45 90 135 180 225 270 315

Expenses, E 130 142.5 155 167.5 180 192.5 205 217.5

<h3>The graph of the theatre's income and expenses</h3>

See attachment

<h3>The pattern by which theatre's income and expenses increase</h3>

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

<h3>The number of students when the theatre's income and expenses are equal</h3>

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

<h3>The theatre profit</h3>

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

<h3>Solution to the inequalities</h3>

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

brainly.com/question/11234618

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2 years ago