The equation h=60-4m gives the height h (in inches) of the water in a tank m minutes after it starts to drain

Answer:

-23.21

there should be a two part for this and the answer would be D y= 0.15x - 23.21

Step-by-step explanation:

The line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

The data is given:

R(x)     W(y)

808     93

768     94

655     66

684     81

637     86

619     75

613     61

609     69

563     55

The line of best fit can be written as:

y = mx + c

Here m is the slope of the line best fit and c is the y-intercept

Putting the values in the formula we get:

m = 0.15

c = -23.21

The line of best fit is:

y = 0.15x - 23.21

Thus, the line of best will be y = 0.15x - 23.21  and the y-intercept is -23.21 after applying the formula.

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Answer:

Different angles are formed

Step-by-step explanation:

i) Alternate angles are formed

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.  

ii)corresponding angles are formed

When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.  

your going fail?! ill help itis 6

Step-by-step explanation:

Answer:

20ft

Step-by-step explanation:

Use ratios:

[tex]\frac{5}{8} = \frac{x}{32}[/tex]

Solve for x

x = 20

Answer:

x = 20

Step-by-step explanation:

Let’s think about it this way ( i’m gonna make this as easy as possible! )

So, x is the variable, which it represents the height of the tree right? so you’re gonna want to take the shadow of the alien, and think “well can 8 make 32? and if so how many times?” which would be 8y = 32. and yes you can. so let’s think about that. how many times does it take for 8 to get to 32?

8, 16, 24, 32

so it takes 4 times. then you think “ well if 8x4 got the shadow length, 5x4 must get the tree height” which is correct.

you’ll take 5 x 4 which is 20, and you will put that down as the heigh of the tree, or think 20ft.

so x = 20.

Answer:

Input x 0 1 2

Output y -1 2 5

Step-by-step explanation:

just plug in all the answers for x and solve the equation. like this:

y=3*0-1=

y=0-1=

y= -1

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

y=3*1-1=

y=3-1=

y=2

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

y=3*2-1=

y=6-1=

y=5

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

all the results match with the table

hope I helped God bless you

600ft³ will be the required volume

The formula for calculating the volume of the rectangular prism is expressed as:

Given the following information

l = 10 feet

w = 15feet

h = 12 feet

Get the volume

V = 1/3(10 * 15 *12)

V = 1/3(1800ft³)

V = 600ft³

Hence 600ft³ will be the required volume

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x < 3

hope it helps :)

Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

t = about 6967 years

Step-by-step explanation:

how do you write over the thing so I can give you the answer or can I just tell you the answer in text messages

Answer:

uh what

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Step-by-step explanation:

The independent variable is plotted on the horizontal axis. The first coordinate of each ordered pair is the independent value. Those values are ...

  1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Answer:

i think a

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the range is the difference between the greatest value and the smallest one. The greatest value in the data set is 33, and the smallest is 24.

So u just subtract 24 from 33:

33 – 24 = 9

and that's your range! hope this helps!

The correct answer is B. your welcome.

Answer:

$10278

Step-by-step explanation:

Given data

P= $6000

R= 8%

T= 7 years

The compound interest formula is

A=P(1+r)^t

substitute

A=6000(1+0.08)^7

A=6000(1.08)^7

A=6000*1.713

A=$10278

Answer:

I think it's A

Step-by-step explanation:

the line is going up and the more it goes up it looks like it will be 2.5

Answer:

19

Step-by-step explanation:

5 people in total, divide equally from 95

Answer:

Step-by-step explanation:

95/4=23.75

Round 23.75 --> 24.00 raffle tickets each.

Answer:

k x 1/2

Step-by-step explanation:

because k x 1/2 = k/2

Answer:

11/3y-3/8

Step-by-step explanation:

Distribute -1/2 through the parentheses

4y-3/8-1/3

calculate the difference

Answer- 11/3y-3/8

Answer:

Step-by-step explanation They will have a 11.5 they have 2000 but you di511.5÷2

Answer:

B 3.5

Step-by-step explanation:

Hope it Helps!

Answer:

when x = 3 1/3, y = 4.5

or

when x =3 , y = 5

Step-by-step explanation:

Here, we want to solve using substitution

xy = 15

let x = 15/y

Put this into the first equation;

3(15/y) + 2y = 19

45/y + 2y = 19

Multiply through by y

45 + 2y^2 = 19y

2y^2 -19y + 45 = 0

2y^2 - 10y - 9y + 45 = 0

2y(y-5) -9(y-5) = 0

(2y-9)(y-5) = 0

2y-9 = 0

or y-5 = 0

2y = 9 or y = 5

y = 9/2 or y = 5

y = 4.5 or y = 5

Recall;

x = 15/y

x = 15/4.5 or x = 15/5

x = 3 1/3 or x = 3

Answer:

(2,11)

Step-by-step explanation:

f(x) = 5*2 + 1 = 11

g(x) = -2 *2 + 15 = 11

Answer:

x = 6

Step-by-step explanation:

(9x - 5)° = (6x +13)°

9x - 5 = 6x + 13

9x - 6x = 13 + 5

3x = 18

x = 18/3

x = 6

The given parallelogram is a rhombus when x = 6

The value of 'x' for which the parallelogram will be a rhombus is x = 3.

A quadrilateral with all equal sides is a rhombus.

Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.

A rhombus has 360° of interior angles total.

A rhombus's adjacent angles add up to 180°.

A rhombus's diagonals are perpendicular to one another and cut each other in half.

One more property of rhombus is that the diagonals bisect the originating angles.

Therefore, The values of 'x' for which this parallelogram will be a rhombus is, 6x + 13 = 9x - 5.

6x - 9x = - 5 - 13.

- 3x = - 18.

3x = 18.

x = 6.

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Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

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

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.

Answer:

$90

Step-by-step explanation:

$120 x .75 = $90