Use the Pythagorean theorem to solve the missing side length round to the nearest tenth if needed

Answer:

2.21184 or 2.212

Step-by-step explanation:

step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false

Answer:

Step 3

Step-by-step explanation:

I took a quiz and got it right

Answer:

c

Step-by-step explanation:

edge2020

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

What is a Quadratic Equation?

Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given that;

4(x + 2)² = 36

4( x(x + 2) + 2(x+2) ) = 36

4( x² + 2x + 2x + 4 ) = 36

4( x² + 4x + 4 ) = 36

4x² + 16x + 16 = 36

4x² + 16x + 16 - 36 = 0

4x² + 16x - 20 = 0

We can further simply ( divide through by 4 )

x² + 4x - 5 = 0

Hence,

x = (-b±√(b² - 4ac)) / (2a)

x = (-4±√(4² - (4 × 1 × -5)) / (2×1)

x = (-4±√(16 - (-20)) / (2)

x = (-4±√(16 + 20)) / (2)

x = (-4±√(36)) / 2

x = (-4±6)) / 2

Hence

x = (-4-6)) / 2 and x = (-4+6)) / 2

x = -10/2 and x = 2/2

x = -5 and x = 1

The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.

Hence, option c) x = -5 and x = 1 is the correct answer.

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Answer:

Answer is C, u can find this just by looking at domain

Answer:

The probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

The information provided is as follows:

[tex]\mu=451\\\sigma^{2}=144\\n=76\\\bar x=449.8[/tex]

Compute the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers as follows:

[tex]P(\bar X>449.8)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{449.8-451}{\sqrt{144/76}})\\\\=P(Z>-0.87)\\\\=P(Z<0.87)\\\\=0.8078[/tex]

*Use a z-table.

Thus, the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.

Answer:

C

Step-by-step explanation:

C

The correct option is C. 4.75 for the side length, in inches, of one tile on the floor pattern.

For the given question.

Floor pattern is made up by 36 square tiles.

The long dimension is labeled 42.75 inches.

A 4 by 9 rectangle is shown containing 36 square tiles.

Thus, to obtain the side length, in inches, of one tile.

Divide long dimension 42.75/9 = 4.75.

Thus, the side length, in inches, of one tile on the floor pattern.

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The answer is the A because they are similar and congruent

Answer:

A

Step-by-step explanation:

Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

that's 53 °not 90 i thought

Answer:

He added 14 blue marbles to the box today

Answer:10 - 19 =9 answer 9 blue marbles

Step-by-step explanation:

The equation represents this situation will be dp = k. Thus, option B is correct.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

The inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.

If k is the constant of variation.

The equation represents this situation will be

dp = k

Thus, option B is correct.

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Answer:

3

Step-by-step explanation:

Answer:

1.6, but can be rounded to 2

Step-by-step explanation:

Answer:

1.66

Cannot be a whole number because 3 times a whole number cannot equal 5

The correct future values could she have been calculating is,

⇒ The future value of $14,800 invested at 4% interest compounded

semiannually for 12 years.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Erin entered the following expression into her graphing calculator,

⇒ 14800 (1 + 0.4/12)¹²°²

Thus, We get;

The correct future values could she have been calculating is,

⇒ The future value of $14,800 invested at 4% interest compounded

semiannually for 12 years.

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Answer:

approximately 0.34%

Answer:

1

Step-by-step explanation:

A segment has only one midpoint because there is only one point in the exact middle of a segment.

Answer:

A line segmhas only one midpoint

Correct is;

A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.

(a) What is the meaning of the derivative f '(x)?

What are its units?

(b) In practical terms, what does it mean to say that f '(2000) = 10?

(c) Which do you think is greater,

f '(200) or f '(600)? What about f '(4000)?

Answer:

A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f' (200) > f'(600)

f'(4000) > f'(600)

Step-by-step explanation:

A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.

In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.

It's unit is $/yard

B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.

C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.

As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.

Thus;

f'(4000) > f'(600)

Given:

Mrs. Applegate owns  [tex]\dfrac{3}{19}[/tex] of the business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

To find:

The  fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as  Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns  [tex]=\dfrac{3}{19}[/tex] of the business.

[tex]x+3x+\dfrac{3}{19}=1[/tex]

[tex]4x=1-\dfrac{3}{19}[/tex]

[tex]4x=\dfrac{19-3}{19}[/tex]

[tex]4x=\dfrac{16}{19}[/tex]

Divide both sides by 4.

[tex]x=\dfrac{16}{4\times 19}[/tex]

[tex]x=\dfrac{4}{19}[/tex]

Now,

Mrs. Brown owns  [tex]=3\times x[/tex]

[tex]=3\times \dfrac{4}{19}[/tex]

[tex]=\dfrac{12}{19}[/tex]

Therefore, Mrs. Brown owns  [tex]\dfrac{12}{19}[/tex] of the business.

Answer:

option 2

Step-by-step explanation:

Answer:

11356.2

Step-by-step explanation:

Answer:

c = 7

d = 5

Step-by-step explanation:

Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:

x^6 * x = x^7  therefore c was a "7"

In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.

Therefore d = 5

Answer: -11/2, -5/7, 0.1, 4/5, 1.3

Step-by-step explanation:

It might be easier to convert these fractions into decimals so let’s do that. -5/7 becomes about -0.7, 4/5 becomes 0.8, 1.3 is already a decimal, -11/2 becomes -5.5, and 0.1 is already a decimal. Negative numbers are less than positive numbers and -5.5 is a bigger negative number than -0.7, so -5.5 (-11/2) comes first and -0.7 (-5/7) comes second. 0.1 is less than 0.8 so 0.1 is third and 0.8 (4/5) is fourth. That leaves 1.3 as the greatest number. This gives us the list -11/2, -5/7, 0.1, 4/5, 1.3. Hope this helps!

Answer:

0

Step-by-step explanation:

3 = 2x + 3

0 = 2x

x = 0

Answer:

B) 13

Step-by-step explanation:

The given angles are vertical angles and has same measurement

4x = 52° divide both sides by 4

x = 13