What is the value of x?
30
45
55
60

Answer:

23.4 years

Step-by-step explanation:

The exponential growth model is

A = P(1 + r)^5t, where r is the annual growth rate as a decimal fraction.

If the original number (P) is to double, then this model becomes

2P = P(1 + 0.03)^t, or 2 = 1.03^t.  Solve this for t by taking the log of both sides:

log 2 = t*log 1.03, or

     0.30103

t = --------------- = 23.4 years

     0.01284

Answer:

Step-by-step explanation:

Given angles are consecutive interior angles which sum up to 180°

Angles

Answer:C

Step-by-step explanation:

Your question is  store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue?

The answer is C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Answer:

I think the answer is

C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Answer:

2,893,916

Step-by-step explanation:

hope that helps and let me know if you have any more questions :)

Answer:

2.555555555555.....

(the 5 is repeating)

Step-by-step explanation:

This is the answer because:

1) To convert the fraction to a decimal, you have to divide the numerator by the denominator.

2) Therefore, 23/9 is 2.5 (the 5 is repeating)

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

Calculate AC and AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(1,8) and (x₂, y₂ ) = C(4,2)

AC = [tex]\sqrt{(4-1)^2+(2-8)^2}[/tex]

      = [tex]\sqrt{3^2+(-6)^2}[/tex]

       = [tex]\sqrt{9+36}[/tex]

       = [tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = 3[tex]\sqrt{5}[/tex]

Repeat with

(x₁, y₁ ) = A(1, 8) and (x₂, y₂ ) = B(2, 6)

AB = [tex]\sqrt{(2-1)^2+(6-8)^2}[/tex]

      = [tex]\sqrt{1^2+(-2)^2}[/tex]

       = [tex]\sqrt{1+4}[/tex]

       = [tex]\sqrt{5}[/tex]

So AB = [tex]\sqrt{5}[/tex] and AC = 3[tex]\sqrt{5}[/tex]

Thus

AC = 3AB

Answer:

Proven below

Step-by-step explanation:

Distance Between Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(w-x)^2+(z-y)^2}[/tex]

Let's calculate the distance AC, where A(1,8) and C(4,2):

[tex]d_{AC}=\sqrt{(4-1)^2+(2-8)^2}[/tex]

[tex]d_{AC}=\sqrt{3^2+(-6)^2}[/tex]

[tex]d_{AC}=\sqrt{9+36}=\sqrt{45}[/tex]

Since 45=9*5:

[tex]d_{AC}=\sqrt{9*5}=3\sqrt{5}[/tex]

Calculate the distance AB, where A(1,8) and B(2,6)

[tex]d_{AB}=\sqrt{(2-1)^2+(6-8)^2}[/tex]

[tex]d_{AB}=\sqrt{1^2+(-2)^2}[/tex]

[tex]d_{AB}=\sqrt{1+4}=\sqrt{5}[/tex]

It follows that:

[tex]d_{AC}=3d_{AB}[/tex]

Answer:

5 times greater.

Step-by-step explanation:

1.7 x 10^6 = 1700000.

3.4 x 10^5 = 340000 .

1700000 / 340000  = 5.

Approximately five times greater is 1.7 × 10⁶ than 3.4 × 10⁵ which is determined by the division operation.

Mathematical operations can also be described via subtraction, division, and multiplication built-in functions. The arithmetic operator is the operator who conducts the operation.

* Multiplication operation: Multiplies values on each side of the operator.

For example, 12 = 2 × 4

/ Division operation: divides left operand by right operand

For example, 4/2 Equals 2.

We have been given data:

⇒ 1.7 × 10⁶ = 1700000

⇒ 3.4 × 10⁵ = 340000

Now we have to take a ratio of 1700000 and 340000

⇒ 1700000 / 340000

Apply the division operation, and we get

⇒ 5

Therefore, approximately five times greater is 1.7 × 10⁶ than 3.4 × 10⁵.

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Answer:

y=125a+1

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

He at 2 per minute so multiply 58×2 and you get 166 he ate 116 hotdogs

Answer: it took him ~29 minutes if he stayed eating them at a consistent rate

Answer:

0.03

Step-by-step explanation:

please give me brainliest! :) :) :)

Answer:

The answer is 0.03

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

2(x-3)+7=13

simplify both sides of the equation

(2)(x) + (2)(-3) + 7 = 13 (distribute)

2x + -6 + 7 = 13

(2x) + (-6+7) = 13 (combine like terms)

2x + 1 = 13

subtract 1 from both sides

2x + 1 - 1 = 13 - 1

2x = 12

Divide both sides by two

2x/2 = 12/2

x = 6

Answer:

-192

Step-by-step explanation:

replace the x with -8 and multiply

Answer:

m+8n

Step-by-step explanation:

-(-m-8n)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression

m + 8n

Answer:

m + 8n

Step-by-step Explanation

[tex] -(-m-8n) \\ = - \times ( - m) - \times (- 8n) \\ = m + 8n[/tex]

Answer:

p= 6.50+0.75

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The required width of Amy's kitchen would be 8 ft.

Given that,
The measurement of Amy's rectangular kitchen is 12 feet. If the area of the room is at least 96 square feet, To determine the least width the room could have.

The rectangle is a four-sided geometric object with equal-length opposites and 90° angles on each side.

Here,
let the width be x,
according to the question,
area of the kitchen = 96
length × width = 96
12 × x = 96
x = 96 / 12
x = 8

Thus, the required width of Amy's kitchen would be 8 ft.

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Answer:

-11

Step-by-step explanation:

2(-2) - 3(3) - (-2)

4 - 9 (double negative cancels out) + 2

= -13 + 2 = 11

The number 0.747447444744447444447 ...... is Rational number.

Here,

The given number is,

⇒ 0.747447444744447444447 ......

We have to find the number is rational or irrational.

What is Rational number?

All non terminating and non recurring decimal number are rational number.

Now,

The given number is,

⇒ 0.747447444744447444447 ......

Clearly, The number is ''non terminating'' and ''non recurring''.

Hence, The number 0.747447444744447444447 ...... is ''Rational number''.

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Answer:

13x+6

Step-by-step explanation:

Combine the like terms.

Add 3x to 10x and substract 4 from 10.

n = - 3

Hi there !

-4×(-8)×n = - 96

32×n = - 96

n = - 96/32

n = - 3

Good luck

(-)×(-) = +

Given that a flyer begins from earth and thrown up with a velocity of 30 ft/sec vertically.

u = initial velocity = 30 :   a = -g = 32 ft/sec^2

s(0) =initial height  =4 ft.

We have the equation

where u = initial velocity : v= final velocity : s = distance travelled and a = acceleration.  Here final velocity is found out as follows

Substitute to get

Since v cannot be negative, the flyer’s center of gravity cannot ever reach 20 feet.

----------------------------------

To reach 25 ft, put s = 25

and v must be atleast 0

Then we have  

Hence if thrown with initial velocity of 40 ft /sec, it will reach a height of 25 ft.

[tex] {7}^{3} \\ 7 \times 7 \times 7 \\ 49 \times 7 \\ 343[/tex]

343 is the cubed of 7

Answer:

n = 4

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if we reduce 4:15 by 3 we get the ratio 4:5, which is equal to the first ratio. Can i get brainliest?!

Answer

is should be -9 but I dont see a model on your question.

Step-by-step explanation:

Answer: on edge c. X + 8=5

Step-by-step explanation:

Answer:

6x2 + 23x + 7 = 0

Factorization:

(2x + 7)(3x + 1) = 0

Solutions based on factorization:

2x + 7 = 0   ⇒   x1 = −7

2

= −3.5

3x + 1 = 0   ⇒   x2 = −1

3

≈ −0.333333

Extrema:

Min = (−1.916667, −15.041667)

Step-by-step explanation: hope this helps