A wading pool holds 30 gallons. How many pints of water would be equivalent?

[tex]\displaystyle\\Answer:\ y=\frac{8}{3}x-5[/tex]

Step-by-step explanation:

(0,-5)      (3,3)

Equation of a straight line:

[tex]\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} \\\\x_1=0\ \ \ \ x_2=3\ \ \ \ y_1=-5\ \ \ \ y_2=3\\\\Hence,\\\\\frac{x-0}{3-0} =\frac{y-(-5)}{3-(-5)}\\\\\frac{x}{3} =\frac{y+5}{3+5} \\\\\frac{x}{3} =\frac{y+5}{8} \\[/tex]

Multiply both parts of the equation by 24:

[tex](8)(x)=(3)(y+5)\\8x=(3)(y)+(3)(5)\\8x=3y+15\\8x-15=3y+15-15\\8x-15=3y[/tex]

Divide both parts of the equation by 3:

[tex]\displaystyle\\\frac{8}{3}x-5=y[/tex]

Answer:

Step-by-step explanation:

From the questions;

1cm represents 200km on the map

If the length of distance between the cities is 1000km, the distnce on the map will be say x;

x cm = 1000 km

Divide both equations;

1/x = 200/1000

Cross multiply;

200x = 1 * 1000

200x = 1000

x = 1000/2000

x = 5cm

Hence the length on the map that represents the distance between the two cities is 5cm

Answer:

width = 64 inches

lenght = 76 inches

Step-by-step explanation:

2(x + 12) + 2x = 280

2x + 24 + 2x = 280

4x = 280 - 24

4x = 256

x = 256/4

x = 64

Answer:

The answer is 1/6y+1/6(y+12)-2

Step-by-step explanation:

I used a math calculator.

Answer:

1/3y+1/3(6-y)

Answer:

A(-8, 2)

Step-by-step explanation

Answer: A

Step-by-step explanation: (-8, 2)

∫f(x)dx=43x3−3x2+7x+Cf(x)=4x2−6x+7∫f(x)dx=∫(4x2−6x+7)dx=4⋅∫x2dx−6⋅∫xdx+7⋅∫1dx=4x33−6x22+7x11+C=43x3−3x2+7x+C

Answer:

the standard deviation of the critical path is 8

Step-by-step explanation:

The computation of the standard deviation of the critical path is shown below:

As we know that

Variance = Standard deviation^2

Now the variance of the critical path is

= Variance 1 + variance 2 + variance 3 + variance 4

= 4^2 + 4^2 + 4^2 + 4^2

= 64

Now the standard deviation would be

= √64

= 8

hence, the standard deviation of the critical path is 8

Answer:

85

Step-by-step explanation:

if ur adding 5 on that side then you would have to subtract on the other.

Answer:

-10

Step-by-step explanation:

Because it's counting down by 4s so the mid would be 10 between the -12 and -8

Answer:

B.

Step-by-step explanation:

B. table B has 2 y values for one x, and that makes it not a function but a relation / equation.

Answer:

|x - 13| = 5

Step-by-step explanation:

Think of absolute value as a distance. For example, |5| can be written as |5 - 0| = 5 since the distance between 5 and zero on the number line is 5. Also, |-5| which is the same as |-5 - 0| is also 5 since the distance between -5 and zero on the number line is 5.

Since you want an absolute value equation with solutions 8 and 18, think of which number is the same distance from both 8 and 18 on the number line? Find the average of 8 and 18, (8 + 18)/2 = 13. 13 is the same distance from both 8 and 18. 13 is 5 units away from both 8 and 18. Now you need an equation that is looking for the numbers x which are 5 units distance from 13.

|x - 13| = 5

See attachment for the scatter plot created using the graphing calculator

The table of values is given as

Time, t         0        1      1.5       2.5    3  

Height, h    280   264   244    180   136

Next, we enter the above values in a graphing calculator to create the scatter plot

See attachment for the scatter plot created using the graphing calculator

From the graphing calculator, we have

h = -16t^2 + 280

This means that

h = 0

So, we have

-16t^2 + 280 = 0

Divide through by -16

So, we have

t^2 - 17.5 = 0

This gives

t^2 = 17.5

Take the square roots

t = 4.18

Hence, the sponge will hit the ground after 4.18 seconds

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Complete question

The table shows the heights h(in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper

Time, t         0        1      1.5       2.5    3  

Height, h    280   264   244    180   136

A. Use a graphing calculator to create a scatter plot

B. Find the best fitting quadratic model for the data

C. Use your model to predict when the sponge will hit the ground

Answer:

1/5 = 3/15

2/3 = 10/15

When all Added up

= 13/15

Step-by-step explanation:

So our LCD here is 15.

So in order to go from 5 to 15, we multiply by 3, and In order to go from 3 to 15, we multiply by 5. What we do to the denominator we also do to the numerator.

So,

[tex]\frac{1}{5} x \frac{3}{3} = \frac{3}{15}[/tex]

And,

[tex]\frac{2}{3} x \frac{5}{5} = \frac{10}{15}[/tex]

So there you go, multiply for what you need to get to the LCD, and what is done to the numerator is also done to the denominator. Enjoy

*If this Helped I'd Also Appreciate 5* and a ♥ Thanks!*

Answer:

Love you

Step-by-step explanation:

Answer:

14 or 11

Step-by-step explanation:

because 14 is more than 11 and the question asks how many people it feeds not how many people can it feed out the people there

Answer:

I Believe It Will Feed 154 People

Step-by-step explanation:

Because 1 Fruit Cake feeds 11 people so I did 11*14

She said a delicious FRUITCAKE that

serves 11 people. Then she said there are 14 FRUITCAKES.

Please Mark Brainliest!!!!

Answer: Charles drove 84 miles

Step-by-step explanation:

(c)harles = 3 x (e)mily

e + c = 112

Since Charles is 3x Emily, we can plug in 3e instead of c

e + 3e = 112

4e = 112

e = 112/4

e = 28

Emily drove 28 miles, and Charles drove 3x that, so Charles drove

28 x 3 = 84

The amount to invest on  January 1st so that you have $1000 by June 1st of the same year is $992.54

What is monthly compounding?

Monthly compounding means that the interest is computed every month, in essence, the interest in January, March and May would be 1% divided by 12 months in a year whereas the interest in February, April, would be 3% divided 12 months making a year.

FV=PV*(1+r1)*(1+r2)*(1+r3)+(1+r4)*(1+r5)

FV=the future value June 1st of the same year=$1000

PV=the amount that needs to be invested=unknown

r1=January interest rate=1%/12=0.00083333333333

r2=February interest rate=3%/12=0.0025

$1000=PV*(1+0.00083333333333

)*(1+0.0025

)*(1+0.00083333333333

)*(1+0.0025

)*(1+0.00083333333333

)

$1000=PV*1.00752085996961

PV=$1000/1.00752085996961

PV=$992.54

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Answer:

-2 (x -3 ) = 16 (use the distributive property)

-2x +6 = 16 (subtract 6 from both sides)

-2x = 10 (divide both side by -2)

x= -5

Answer: B=5

Step-by-step explanation:

if you plug 5 in for B, the equations equal to each other

6(5)-2=5(5)+3

30-2=25+3

28=28

NOW plug in each number to show the work (even though we already know it’s 5)

Hello! Your answer will be the second provided answer.

See attachment below for explanation...

Answer:

x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]

Step-by-step explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio.

For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.

-----

Let's take r=ratio of the geometric sequence

in first term, x is multiplied by  [tex]r^{0}[/tex]

First term:                   x [tex]r^{0}[/tex]

Second term: 4x+3 = x [tex]r^{1}[/tex]

Third term:     7x+3 = x [tex]r^{2}[/tex]

From the last 2 equation, we have to obtain r and x values.

Second equation - First equation:

3x = x r (r - 1)

Let's state: x different from 0, so we can simplify x, obtaining:

3 = [tex]r^{2}[/tex] - r

0 = [tex]r^{2}[/tex] - r - 3

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]  (only the positive value of r counts)

so, going to second term of the sequence:

4x+3 = x [tex]r^{1}[/tex] => x (4 - [tex]\frac{1+\sqrt{13} }{2}[/tex] ) = -3

x ([tex]\frac{7+\sqrt{13} }{2}[/tex] ) = -3  =>  x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

hope it helps..

Answer:

h - g goes with 3, gh goes with 2, g squared minus h goes with 5, g - h goes with 1, g + h goes with 3, and g + h squared goes with 6. The numbers are the options.

Step-by-step explanation:

Not much to say. Just remember that squared numbers can't be negative.

Answer:

I think it would be C.

Step-by-step explanation:

One is positive Four is negative so is 1+(-4)

Answer:

5

Step-by-step explanation:

this is basic algebra so it's important to understand this concept now. you need to combine like terms so 3x-6=9 becomes 3x=15 (you add the 6 to add like terms). You then divide the 3 from 3x on both sides to get x=5

The value of x makes the equation 3x - 6 = 9 true is: x = 5.

Here, we have,

given that,

the equation is: 3x - 6 = 9

so have,

3x-6=9

We need to combine like terms

=> 3x = 9 + 6

(we add the 6 to add like terms).

becomes, => 3x=15

we then divide the 3 from on both sides

=> 3x/3 = 15/3

we get

=> x=5

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Answer:

Step-by-step explanation:

because we are weaker

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.