10.
The lines graphed below show the amounts of water in two tanks as they were being
filled over time.
TANK FILLING RATES
+
Amount of Water (gallons)
1,800
1,600
1,400
1,200
1,000
800
600
400
200
Tank A
Tank B
0
0.5
1 1.5 2
Time (minutes)
For each tank, explain whether or not there is a proportional relationship between
the amount of water, in gallons, and the time, in minutes. If there is a proportional
relationship, identify the unit rate. Use specific features of the graph to support
your answer
hp

Answer:

y = 2*x - 4

Step-by-step explanation:

The general equation for a line is:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we know that the line passes through (4, 4) and the y-intercept is -4.

Then:

b = -4

So our line is something like:

y = a*x - 4

Now, we know that the line passes through (4, 4), which means that when x = 4, y = 4.

If we replace these values in the equation, we get:

4 = a*4 - 4

Now we can solve this for a.

4 = a*4 - 4

4 + 4 = a*4

8 = a*4

8/4 = a = 2

Then the equation for the line is:

y = 2*x - 4

Answer:

30

Step-by-step explanation:

It is keep change flip

Answer:

30

Step-by-step explanation:

Answer:

1. 18.84 2. 172.2 3.219.8

Step-by-step explanation:

1.   formula: v=(r*pi)*h

v=(6^2*3.14)*4

v=(36*3.14)*4

v=113.04*4

v=452.16

2. formula: v=(r*pi)*h

because you were given the diameter for number 2 you would have to do 10/2 to find the radius. so 5

now plug it into you're equation.

v=(5^2*3.14)*11

v=(25*3.14)*11

v=78.5*11

v=863.5

3. formula: v=(r*pi)*h

v=(7^2*3.14)*10

v=(49*3.14)*10

v=153.86*10

v=153.86

Answer:

a = 5

Step-by-step explanation:

I'm 100% sure good luck!!

The answer for the right triangle is 5

Volume of a rectangular prism = length x width x height.

Volume of milk carton = 8 x 4 x 3 = 96 cubic inches.

Divide the volume by the leak rate:

96/ 6 = 16

It will take 16 minutes.

Answer:

250/20 = 12.5/min

2 min = 25 bottles

The machine fills 25 bottles every two minutes. So you should make points (minutes, bottles) at (0,0), (2,25), (4,50), (6,75), (8,100), (10,125) and draw a line connecting them.

Answer:

2

Step-by-step explanation:

[tex]4^{2}[/tex] = 16

5 x 4 = 20

16 - 20 = -4

-4 + 6 = 2

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0.015  in fraction

=[tex]\frac{15}{1000}[/tex]

Simplified is

=[tex]\frac{3}{200}[/tex]

Answer:[tex]\frac{3}{200}[/tex]

Answer:

17

Step-by-step explanation:

15^2 + 8^2 = 225 + 64 = 289

=17

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

Area is the space occupied by any surface ,It is measure in square units of length.

It is given that

A photographer needs a frame for a 16 x 20 inch picture

total area is 340 sq. in

width of the frame =?

Let width of the frame be x

The frame is in the shape of a Rectangle

Side of the frame =  ( 16+2x) and (20 +2x)

Area of a frame = Total Area -  Area of the picture

Total Area =  ( 16+2x) (20 +2x)

( 16+2x) (20 +2x) = 340

320 + 72x +4x² = 340

72x +4x²= 20

4x² + 72x = 20

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

To know more about Area

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Step-by-step explanation:

The fraction of -1.75 is -1 3/4

So, 3/4 + (-1 3/4) = 1.

Answer:

17.1

Step-by-step explanation:

h=A/b

h= 316.35/18.5

h=17.1

Answer:

v=(6*9*12)

Step-by-step explanation:

Answer:

[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]

Answer:

C. $844

Step-by-step explanation:

Just look at the chart and it says $844

Answer:

The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].

Step-by-step explanation:

Let the cubic regression be represented by the following third order polynomial:

[tex]y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a,b,c,d[/tex] - Coefficients.

By Algebra, we can determine analytically the values of all coefficients by knowing four distinct points. If we know that [tex](x_{1}, y_{1}) = (1,4)[/tex], [tex](x_{2},y_{2}) = (2,9)[/tex], [tex](x_{3}, y_{3}) = (3, 34)[/tex] and [tex](x_{4}, y_{4}) = (-2, -11)[/tex], then the system of linear equations is:

[tex]a+b+c+d = 4[/tex] (1)

[tex]8\cdot a + 4\cdot b + 2\cdot c + d = 9[/tex] (2)

[tex]27\cdot a + 9\cdot b + 3\cdot c + d = 34[/tex] (3)

[tex]-8\cdot a + 4\cdot b -2\cdot c + d = -11[/tex] (4)

The solution of the system of linear equations is: [tex]a = 2[/tex], [tex]b = -2[/tex], [tex]c = -3[/tex], [tex]d = 7[/tex]

The cubic regression that fits the given set of points is [tex]y = 2\cdot x^{3}-2\cdot x^{2} -3\cdot x + 7[/tex].

Answer:

7 is the smallest number making it the closest to the x- axis.

Step-by-step explanation:

Answer: 1.55630250

Step-by-step explanation:

g(x) = 2 log (2x)

For g(3) put 3 in place of x

g(3)=2 log (2*3)

      =2log(6)

g(3)      =1.55630250

Answer:

Solutions will be unreal

Step-by-step explanation:

Given the quadratic equation ax^2+bx+c

The discriminant of the function determines its nature of its root

Discriminant D = b^2-4ac

If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal

Answer:

36 cm^2 is the area

Explanation -->

- first, separate the polygon into two separate ones, horizontally, to make two rectangles

- NOTE : Area = length x width

- 6 times 4 = 24

- 4 times 3 = 12  (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)

- 24 + 12 = 36

-- You get 36 cm^2 --

Hope this helps!! Please mark as Brainliest!

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

Options:

1. Null Hypothesis: There is at least some difference in the mean times spent by the schools' students.

2. Alternative Hypothesis: The students from school B spend more time studying than the students from school A.

3. Null Hypothesis: School B students spend more time studying than School A.

4. Alternative Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Null Hypothesis: The difference in the mean times spent by the schools' students is 15 minutes.

Alternative Hypothesis: There is no difference in the mean times spent by the schools' students

Answer:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Step-by-step explanation:

The null hypothesis is usually represented as H0 or H1. For difference in mean between two samples, the null hypothesis is usually holds the notion that there is no difference in the mean of both samples and it is represented symbolically as:

H0 : μ1 - μ2 = 0 or H0 : μ1 = μ2

For the alternative hypothesis, it is usually the opposite of the null and while the Null holds that no difference exists, The alternative in this scenario will claim that both sample means are different or not equal. It is represented as :

H1 : μ1 ≠ μ2 or H1 : μ1 - μ2 ≠ 0

Answer: Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠BAC + y° = 180° [Linear pair of angles are supplementary]

m∠BAC = 180° - y°

m∠ABC = x° [Vertically opposite angles]

m∠ACB = z° [Vertically opposite angles]

By triangle sum theorem,

m∠BAC + m∠ABC + m∠ACB = 180°

(180 - y)° + x° + z° = 180°

x - y + z = 180 - 180

x - y + z = 0

Option C will be the answer.

Answer:

ab=1/2*34 by mid point theorem

ab=17

so 3x-1=17

3x=17+1

3x=18

X=18/3

X=6

hope it helps

Answer:32.9 m

Step-by-step explanation: