Solve for the missing side

Answer:

the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in

The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A pipe cracked overnight and started to leak into a basement.

The graph represents the depth (d) of the water over time (t).

As per the given graph, the required solution would be as:

Take two points (1, 10) and (5, 50) in the given graph

The linear function will be :

d - 10 = (50-10)/(5-1)(t - 1)

d - 10 = (40/4)(t - 1)

d = 10(t - 1) + 10

d = 10t - 10 + 10

d = 10t

Here slope of the given function is 10, which means 10 inches the water rise each hour.

The value of time (t) = 4 hr corresponds to the depth of water (d) is

d = 10(4) = 40

So, the water is 40 inches deep is the water after four hours

The value of depth of water (d) = 80 in corresponds to the time (t) is

80 = 10t

t = 80/10 = 8

So, It will take 8 hours for the water to reach a depth of 80 inches

Learn more about the graphs here:

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Answer:

P(-8,6), Q(-5,2), R(2,1)

Answer:

the answer is B

Step-by-step explanation:

-4 * box

and you know that is meant to be 8 so you have to ask what would x 4 and give you -8 so you do -8/-4 to give you 2 so that means you know that that is -4 * 2 which would give you - 8 then that will replace all the other missing box.

Answer:

The cost per widget will never be greater than $25

Answer:

substitute the value of y into the equation 7x+3y = 35

7x + 3(x+5) = 35 (distribute 3 through the parenthesis)

7x + 3x + 15 = 35

collect the like terms

7x + 3x = 35 - 15

10x = 20 (divide both sides by 10)

x = 2

substitute x = 2 into the equation y = x + 5

y = 2 + 5

y = 7

Answer:

red

Step-by-step explanation: convert all of the fractions to have same denominator which would be 20 and see which is the smallest

Answer:

a) red

Step-by-step explanation:

make all denominators the same.

red= 3/20

yellow= 8/20

green= 5/20

purple= 4/20

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

Answer: Last one I think

Step-by-step explanation:

Answer:3.38

Step-by-step explanation:

Count, N: 5

Sum, Σx: 18

Mean, μ: 3.6

Variance, σ2:  11.44

Steps

(10 - 3.6)2 + ... + (2 - 3.6)2

5

=  

57.2

5

=  11.44

σ =  √11.44

=  3.38

Answer:

7 I think

Hope's ti helps

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

Answer:

The muscles of the small intestine mix food with digestive juices from the pancreas, liver, and intestine, and push the mixture forward for further digestion. The walls of the small intestine absorb water and the digested nutrients into your bloodstream.

Answer & Explanation:

When humans chew food, it is chemically and physically broken down into smaller molecules. Your teeth physically crush the food and enzymes in your saliva break down the food into smaller pieces. Then your food goes through your esophagus and begins the digestion process. When the food reaches the stomach, the stomach walls pound the food to make it into smaller chunks of food. Hormones secreted in the stomach walls release acids and enzyme juices that chemically dissolve the food into even smaller pieces. The liver, pancreas, and gallbladder are major parts of the digestive process as well. They produce digestive juices and transfer bile to prepare for the next stage. After the food has been in the stomach for three hours, the food is now a liquid called chyme and is ready to move into the small intestine! The liver sends the bile to the gallbladder that secretes it into the duodenum. Then it dissolves the fats in the chyme so they can be digested by the juices from the pancreas and intestines. The enzyme juices break down the fat molecules in the chyme into fatty acids. The enzymes carry out the final deconstruction of proteins into amino acids. This happens in the small intestine lower region that is coated with villi. The villi maximizes molecule absorption and transfers it into the bloodstream. The blood then feeds it to the body’s organs and tissues.

That is whole process of digestion. Hope this helps! :3

Answer:

[tex] \frac{2}{9} = \frac{9}{2} [/tex]

[tex] \frac{ - 7}{6} = \frac{ 6}{ - 7} [/tex]

[tex] \frac{8}{3} = \frac{3}{8} [/tex]

The answer will be 100.48

If we take π = 3.14.

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{12}\cdot \frac{4}{11}[/tex][tex]=\frac{1}{11}[/tex]

Hope this helped! :)

The sum angle of triangle is 180°

The angle of line is 180°

The right angle is 90°

x=180-115

x=65°

y=180-65-90

y=90-65

y=25

Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds

Step-by-step explanation:

a12 = 45 + (12-1)(-6)

= 45-66= -21

Step-by-step explanation:

yes, the other answer is correct.

just to explain a little bit more :

the sequence is clearly built by subtracting 6 from one element to the next.

in other words :

a1 = 45

a n = a n-1 - 6

in such a sequence you do the same operation/ calculation over and over again - once per new element.

the operation in this example is simple - as mentioned : subtract 6.

a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.

therefore, the general element generation algorithm/ formula is :

a n = a1 - (n-1)*6

Answer:

[tex]y=-2x+2[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-1, 4) and (0, 2)

[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]

Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-2x+b[/tex]

2) Determine the y-intercept

[tex]y=-2x+b[/tex]

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

[tex]y=-2x+2[/tex]

I hope this helps!

Answer:

A), D), E), F).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of sides:

Area of the bottom:

Total area:

Paint needed:

Answer:

147°

Step-by-step explanation:

180 - 33 = 147

Answer:

147

Step-by-step explanation:

x is on a straight line so the whole line equals 180

180-33= 147

I think that's correct

Answer:

0.2222222222222222...

Step-by-step explanation: if not im sorry

Answer:

2.08008

so its = 2.1

i think

Answer:

9.82 feet

Step-by-step explanation:

the perimeter of the window is the circumference of a semi-circle with a diameter of 5

P = (πd)/2     (divided in half because it's only half a circle)

P ≈ 3.14(3.5) which is approx 11

11 is closest to 9.82

Answer:

9.82 Is the Closest

Step-by-step explanation:

First of all, you can see its a half circle, meaning if we make it a full circle, the length of the center is 5, so the full circle's area is about 19.5-20. Now to find the area of the half circle/windows we get 9.75 - 10. The only number between that is 9.82, which should be you answer.

Have a nice day!

If this answer helped you, please give Brainliest.

Answer:

caste system, they were commonly used to show the groups of people in their social hierarchies

Answer:

3x+5y+22

Step-by-step explanation:

Answer:

3x + 5y + 22

Step-by-step explanation:

Given expression:- x + 3y + 2x + 10 + 2y + 12

Here, you can add all the 'x' terms together and 'y' terms together.

There is an 'x' and '2x'.

On adding them, you get 2x + x equals 3x.

Then add the 'y' terms

There is a '3y' and a '2y'. On adding them, you get 3y + 2y equals 5y.

Then add the numbers that are left. 12 and 10.

12 + 10 equals 22.

Then take all the values we got after addition:- 3x, 5y and 22.

2x, 5y and 22 cannot be added together. So, the expression in the simplified form would be:-

Answer:

A. They are both Solutions

Step-by-step explanation:

Answer:

Both are solutions

Step-by-step explanation:

5x8 is less than 52, and so is 5x10