Simplify the following expression.
12a376c5
3a284c5
O A 4a6²c
OB.
9a62
OC. 4a62
OD. 9ab2cC

Answer:

120

Step-by-step explanation:

5 x 24 is 120. i used a calculator

Answer: If he sold 24 hot dogs he made $120.

Step-by-step explanation:

$40/8=$5 per hot dog

$5*24=$120

Answer:

36km hr

Step-by-step explanation:

Answer:

11.8 miles on 0.1 gallons of fuel

1180 miles on 10 gallons of fuel

Step-by-step explanation:

Answer:

row 1: 0.1 gallons = 11.8 miles

row 3: 10 gallons = 1180 miles

Step-by-step explanation:

if 1 gallon = 118 miles, you can use the 118 and multiply o.1 or 10.

Answer:

85555555555555555

Step-by-step explanation:

Given:

Center of hyperbola is at (h,k).

To find:

The standard forms of a hyperbola.

Solution:

We know that, standard forms of a hyperbola are

1. For Horizontal hyperbola:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]

2. For Vertical hyperbola:

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center of the hyperbola.

Therefore, the correct option is B.

Step-by-step explanation:

x²y = k, where k is a real constant.

When x = 3, y = 8.

Therefore k = (3²)(8) = 72.

The equation is x²y = 72 or y = 72/x².

If one was to find what 45% of a certain number was, they would have to A-multiply the number by 0.45.

To find the percentage of a number, the following equation applies:

= 45% x Number

45% when written as a decimal is:

= 45 ÷ 100

= 0.45

The equation can therefore be written as:

= 0.45 x Number

In conclusion, 45% of a number can be found by multiplying it by 0.45.

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Answer:

1.059×1000 is the value of the following

Answer:

1=ones

0=tenths

5=hundredths

9= thousandths

Hope this helps

Step-by-step explanation:

Answer:

5,004,300

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i took the test lol

Answer: For homework, Ari had to find 5% of $900. Did he do the work correctly?

A tape diagram. There are 5 parts out of a whole of 100. There are question mark parts out of a whole of 900.

Start Fraction part Over whole EndFraction = StartFraction 100 times 180 Over 5 times 180 End Fraction = StartFraction 18,000 Over 900 EndFraction

Are Ari’s calculations correct?

x No. Ari multiplied the denominators incorrectly.

✔ No. Ari should have written the percent ratio as StartFraction 5 Over 100 EndFraction

x No. Ari should have divided, not multiplied.

x Yes. Ari’s work is correct.

Answer:

C

Step-by-step explanation:

Answer:

[tex]Mean = 3.52[/tex]

Step-by-step explanation:

Given

[tex]Sample\ Size = 16[/tex]

[tex]Proportion = 22\%[/tex]

Required

Determine the mean of the proportion

The mean or expected value of a sample is calculated by multiplying the sample size by the proportion as follows;

[tex]Mean = n *p[/tex]

Where

[tex]n = 16[/tex] -- Sample Size

[tex]p = 22\%[/tex] -- Proportion

So:

[tex]Mean = n *p[/tex] becomes

[tex]Mean = 16 * 22\%[/tex]

Convert 22% to decimal

[tex]Mean = 16 * 0.22[/tex]

[tex]Mean = 3.52[/tex]

Hence, the mean is 3.52

Answer:

10(5+3)

Step-by-step explanation:

The required expression would be 10(5+3) which is written as a product of two factors and the correct answer would be option (D).

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that expression as:

⇒ 50 + 30

We need to write 50 and 30 as the product of its prime factors,

50 = 5 × 5 × 2  and 30 = 2 × 3 × 5

So 50 + 30

⇒ 5 × 5 × 2 + 2 × 3 × 5

Common factor out, and we get

⇒ 5 × 2 (5 + 3)

⇒ 10(5 + 3)

Therefore,  the correct answer would be an option (D).

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Answer:

12e - 6f - 4

Step-by-step explanation:

Answer:

Sheila walked 6 Miles.

Step-by-step explanation:

6 Miles

Answer:

1 adult ticket costs $9.45

1 child ticket cost $3.15

Step-by-step explanation:

63/5 = 12.6

12.6/4 = 3.15

12.6 - 3.15 = 9.45

I think this is correct if not search up

Answer:

75%

Step-by-step explanation:

Answer: A=6a2

Step-by-step explanation:

did it help?^﹏^

Answer:

x = 3

y = -1

Step-by-step explanation:

(x-y) + (x+y) = 4 + 2

2x = 6

x = 3

sub x=3 into x+y=2

3+y=2

y=2-3

y=-1

Check by subbing x=3 and y=-1 into x-y=4

(3)-(-1) = 3+1 = 4

Answer: Infinitely many solutions.

Step-by-step explanation:

When looking at the system, it is immediately clear that the second equation is simply the first equation with all terms multiplied by 2. Therefore, there are infinite solutions because these are actually the same exact line when graphed and will always equal each other no matter what the values for x and y are.

Answer:

it is 390

Step-by-step explanation:

Answer:

4.9 - 4n

Step-by-step explanation:

Given the expression;

2.4 - 5.5 -4n + 8?

Collect like terms;

2.4 - 5.5 -4n + 8?

2.4 - 5.5 + 8-4n

-3.1 + 8 - 4n

4.9 - 4n

Hence the simplified form of the equation is 4.9 - 4n

Answer:

x² + 4x - 7 = (x + 2)² - 11

Step-by-step explanation:

Let us solve the question

∵ The expression is x² + 4x - 7

∵ The form is (x + a)² - b

→ To express the equation in the given form quate them

∴ x² + 4x - 7 = (x + a)² - b

→ Simplify the right side then equate the like terms to find a and b

∵ (x + a)²  = (x + a)(x + a)

∴ (x + a)² = (x)(x) + (x)(a) + (a)(x) + (a)(a)

∴ (x + a)² = x² + ax + ax + a²

→ Add the like terms

∵ (x + a)² = x² + (ax + ax) + a²

∴ (x + a)² = x² + 2ax + a²

→ Substitute (x + a)² in the right side by x² + 2ax + a²

∵ x² + 4x - 7 = x² + 2ax + a² - b

→ Equate the coefficients of the like terms

∵ 4x and 2ax are like terms

∴ 4 = 2a

→ Divide both sides by 2

∴ 2 = a

∵ -7 and a² - b are like terms ⇒ constant terms

∴ -7 = a² - b

∵ a = 2

∴ -7 = (2)² - b

∴ -7 = 4 - b

→ Subtract 4 from both sides

∵ -7 - 4 = 4 - 4 - b

∴ -11 = -b

→ Divide both sides by -1

∴ 11 = b

→ Substitute the values of a and b in the given form

∴ (x + a)² - b = (x + 2)² - 11

∴ x² + 4x - 7 = (x + 2)² - 11

Answer:

[tex]\displaystyle y=2\sqrt{6}[/tex]

[tex]\displaystyle x=2\sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]

Solving for y:

[tex]y=4\sqrt{2}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\displaystyle y=2\sqrt{6}[/tex]

Now we use the sine ratio:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]

Solving for x:

[tex]x=4\sqrt{2}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}:[/tex]

[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]

Simplifying:

[tex]\displaystyle x=2\sqrt{2}[/tex]

The choices are not clear, but it seems like the correct answer is C.

[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]

[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]

Answer:

whats the whole question

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1. in order to calculate all the required values, it needed to solve:

[tex]\sqrt{x-5} \geq 0; \ <=> \ x\geq 5.[/tex]

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.

Answer:

Answer:A.

x f(x)

-2 4

-1 1

0 0

1 1

2 4

B.

x f(x)

1 6

2 7

3 8

4 9

5 10

C.

x f(x)

-2 -3

-1 -1

0 1

1 3

2 5

D.

x f(x)

1 3

2 6

3 9

4 12

5 15

Step-by-step explanation:

The required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.

Here,
Let f(x) = y
Given function,
y = [3x -1]²
The inverse of the above function is given as,
f⁻¹(x) = [∛x + 1]/3
Differentiate the above inverse function,
[f⁻¹(x)]' = 1/[9x²/³]
Substitute x = 1/8
[f⁻¹(1/8)]' = 1/[9(1/8)²/³]

[f⁻¹(1/8)]' = 4 / 9

Thus, the required simplified value of the [f⁻¹(1/8)]' is 4 / 9. Option B is correct.

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