A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 1010 gallons, and pool B held 2 x 108 gallons. How many times more gallons will the larger pool hold than the smaller pool?
4
20
100
200​

Answer:

C-------------------------------------------------

Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).

The trend line passes through (10, 9) and (35, 0) will be 9x + 25y = 315.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

[tex]\rm (y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

The scatter plot with the trend line below shows the data comparing wind speed and wind chill. Wind Chill (˚F) Wind Speed (mph). The trend line passes through (10, 9) and (35, 0).

Write an equation for the trend line.

(x₁, y₁) → (10, 9)

(x₂, y₂) → (35, 0)

Then we have

        y - 9 = -9/25(x - 10)

25y - 225 = -9x + 90

 9x + 25y = 315

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Hey Mate ,

Reading the given statement ,

Let the cost of printer be x and the cost of Computer be 3x

ATQ ,

3x + x = $1020

4x = $1020

x = 255

Therefore , the cost of Printer is $255 and the cost of computer is $255× 3 = $765

The graph of the given function is exponential and the function is lagged by 3.[tex]g(X)=4^ {(x-3)} \ \ \ \ f(X)=4^X[/tex]

The representation of the function in a relationship on the x and the y coordinates is done on the graph.

Here are the functions [tex]g(X)=4^ {(x-3)}[/tex] and  [tex]f(X)=4^X[/tex]  are the exponential curves on the graph the function  [tex]g(X)=4^ {(x-3)}[/tex] is lagged by 3 as compared to the function [tex]f(X)=4^X[/tex].

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Step-by-step explanation:

the general vertex form is

y = a(x - h)² + k

with (h, k) being the vertex of the curve.

after doing all the multiplications we get

y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k

now we have

y = x² + 24x + 124

and we can compare

ax² = x²

a = 1

-2ahx = -2hx = 24x

-2h = 24

h = 24/-2 = -12

ah² + k = 124

(-12)² + k = 124

144 + k = 124

k = -20

so, the vertex form is

y = (x + 12)² - 20

Answer: 6

Step-by-step explanation:

Answer:

f(x) is faster

Step-by-step explanation:

In case it is x^2 then f(x) will be faster.

If you draw these two function in the graph. You can see that

Or you can add any value randomly and see that

Ex:

when x = 5

f(x) = 25, g(x) = 10

when x = 20

f(x) = 400, g(x) = 40

when x is 4 times larger. g(x) is 4 times larger while f(x) is 16 times larger

I assume you mean the equation

[tex]i^{2x+3} = i[/tex]

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

Answer:

It would take 45 men 5 days to make 500 watches.

Explanation.

for 15 men it takes 15 days.

but if you have 45 men. that is 3x the amount of men.

they will be able to make watches 3 times faster.

just believe me its the right answer.

Please Vote Me Brainliest. Thank You.

(Assuming every single man has the same working rate.)

Solution 1 :

If there is 45 men working, there will be 45 : 15 = 3 times as much men.

So, the amount of time taken will be reduced by 3 times.
=> It will take 15 : 3 = 5 days for 45 men to produce 500 watches.

Solution 2 :

15 men produce 500 watches in 15 days -> If there is only 1 man, it will take 15 x 15 = 225 (days).

If there is 45 men, the amount of time will reduce by 45 times.

So, it will take 225 : 45 = 5 days for 45 men to produce 500 watches.

Answer:

[tex]g(2)=11[/tex]

Step-by-step explanation:

[tex]g(2)=5(2)+1=10+1=11[/tex]

Answer:

71 pages / day

Step-by-step explanation:

You are looking for pages per day so:

   497 pages / 7 days = 71 pages/day

Answer:

c) Five out of 8 equal parts of a whole

Step-by-step explanation:

The statement "Five out of 8 equal parts of a whole" means the fraction of 5/8. Hence, option (c) is the correct answer.

Answer:

"Five out of eight equal parts of a whole"

Step-by-step explanation:

In a fraction, the numerator (top part) is saying "this number out of the number below it."

The denominator (lower part) is the number below it that we are taking the proportion out of.

A denominator is ALWAYS equal parts, so if we match up the phrase: "5 out of eight equal parts of a whole"

Answer: 8, -.8, -2.45, -23

Step-by-step explanation:

I think those are all the numbers. You repeated it twice so.

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

The current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

The current passing through a conductor is proportional to the potential difference. Mathematically;

V = IR
where
V is the voltage = 120V

R is the resistance = 11.5 ohms

Required

Current I

Substitute

I = V/R
I = 120/11.5
I = 10.4A

Hence  the current it conduct when it is plugged into a wall outlet that provides 120 V is 10.4A

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The depth of the water x at the deepest point to the nearest hundredth of a metre is 0.5 meters

A chord of a circle is defined as the line segment joining any two points on the circumference of the circle.

The chord join any two points on the circumference of a circle.

The diameter is a chord that passes through the centre.

Therefore, the diameter is the longest chord of a circle.

The length 1m is a chord of the circular base of the cylinder.

Diameter of the circle = 1.5 meters.

radius = 1.5 / 2 = 0.75 meters

Therefore,

1.5 - 1 = 0.50 meters

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The graph of a function is shown in the picture and the amplitude will be 6

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

[tex]\rm y = -6\cos\left(5x\right)-3[/tex]

As we know, the range for the cosx is [-1, 1]

The maximum value of function y = -6cos(5x)—3 is 3 and minimum value is -9.

The amplitude = 6

Thus, the graph of a function is shown in the picture and the amplitude will be 6

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Answer:

the answer should be 3....this is not right btw

the probability of having a winning raffle ticket is 15%.

Answer:

$5,968.00

Step-by-step explanation:

this is federal tax, we don't know your state's taxes

Answer:

1479 people

Step-by-step explanation:

If the amount employed is 8381, that means 8381 is 85% of the population. 8381/85 = 98.6

Every 1% of the population is 98.6, so we can just do 15 x 98.6 to get 1479

Answer:

9,860

Step-by-step explanation:

100% - 15% = 85 % = 85/100

85/100 * 8381/x

85x = 838,100

838,100/85 = 9,860

Using the concept of the degree of a polynomial, it is found that the correct option is given by:

Degree(R(x)) = Degree(Q(x)) - 1.

It is the highest exponent of it's equation.

When two polynomials are divided by each other, the degree of the remainder can be at most one less than the degree of the dividend, hence the correct option is given by:

Degree(R(x)) = Degree(Q(x)) - 1.

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Based on the above information, it can be inferred that Sarah saves $6,900 per year.

Taking into account that her new employer is going to give her a free health service and that before she paid $575 for the health service monthly, to calculate her savings per year we must multiply the value of the health service by the number of months of one year (12).

Based on the above, it can be inferred that Sarah is saving $6,900 per year on health care.

Note: This question is incomplete because the is some information missing. The information is missing

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Answer:

6:25 PM

Step-by-step explanation:

Start of dinner

2:50 PM + 1:45 + 0:50

convert it to minutes

2:50PM + 60+ 45 + 50

= 2:50Pm + 60 + (50 + 10) + (45 - 10)

= 4:50Pm + 35

= 4:50PM + 10 + 25

= 5:25PM

End of dinner

5:25PM + 1 = 6:25PM

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Assuming your asking for two sets of systems of equations.

#1: [tex]{y,x}={-1,-1}[/tex]

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = -y - 2

// Plug this in for variable  x  in equation [1]

[1]    y - 4•(-y -2) = 3

  [1]    5y = -5

// Solve equation [1] for the variable  y

  [1]    5y = - 5

 [1]    y = - 1

// By now we know this much :

  y = -1

   x = -y-2

// Use the  y  value to solve for  x

x = -(-1)-2 = -1

Solution :

{y,x} = {-1,-1}

2: [tex]{y,x}={3,-1}[/tex]

Steps:

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -y + 2

// Plug this in for variable  x  in equation [1]

 [1]    y + 6•(-y +2) = -3

  [1]    -5y = -15

// Solve equation [1] for the variable  y

[1]    5y = 15

[1]    y = 3

// By now we know this much :

y = 3

x = -y+2

// Use the  y  value to solve for  x

x = -(3)+2 = -1

Solution :

{y,x} = {3,-1}

Answer:

Your answer is 10

Step-by-step explanation:

160 devided by 16 = 10