Exit Ticket: At noon, a tank has a water depth of 9 in. After 3 hours, the depth was 8 inches. At 6pm, the depth was 7 inches. What is the initial value for the function? help will be appreciated.

Answers

Answer 1

Answer:

Step-by-step explanation:

The  straight line equation is:

y = m*x  + b     Where m is the slope of the line and b the intercept with   y-axis, in our case y is the depth of the tank and x (time in lapsus of 3 hours).

The slope m  =  ( y₂ -  y₁ ) / (x₂ - x₁)

We have point  A ( 3 , 8 )  and point  B ( 6 , 7 )

m  = ( 6 - 3 ) / (7 - 8 )  m = -3

We see that  each 3 hours time-depth decreases  1 in.

Then   to find the depth at the beginning of x-axis

At  noon     12   tank was  9 inches, three hours before at 9 in the morning the depth was 10 inches and:

9  in the morning   10

6  in the morning   11

3  in the midnight   12

12 in the night         13

Then 13 is the intercept with y-axis

then the equation is:

h = - 3*x + 13

Note x is time in lapsus  of 3 hours


Related Questions

what is За – 2а x 4а + ба

Answers

Answer:

10a-3,7a-2,3a-9

1)4a+ 6a-3

10a -3

2)3a+ 4a -2

= 7a - 2

3) 2-3a+7

= 7+2-3a

= 9-3a

How many of the ways that 27 cents can be made using quarters, dimes, nickels, and pennies use an odd number of coins

Answers

I believe the answer is 13 ways to make 27 cents using Quarters, dimes, nickels, and pennies.

Step-by-step explanation:

What is the solution set for 10x < 30

Answers

Simplifying
10x = 30

Solving
10x = 30

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '10'
x = 3

Simplifying
x = 3 as your answer:)

jax earns $14 per hour working at the dog kennel. write and solve an inequality that can be used to find how many hours he must work to earn greater than $168

Answers

14x>168 should be ur answer

factor 3v+12w
write your answer as a product with a whole number greater than 1.

Answers

Answer:

3 (v+4w)

Step-by-step explanation:

you could factor out 3 which is a whole number greater than 1.

i hope this help!

Manuel made $6000 in taxable income last year. Suppose the income tax rate is 15% for the first $8500 plus 18% for the amount over $8500. How much must Manuel pay in income tax for last year? s0 ?​

Answers

Answer:

the income tax paid for the last year is $900

Step-by-step explanation:

The computation of the income tax paid for the last year

Taxable income is $6,000

And, the 15% tax rate is charged for first $8,500

So the income tax paid is

= $6,000 × 15%

= $900

hence, the income tax paid for the last year is $900

The same is considered by doing the above calculation

Help me people I need it

Answers

You would put up as a fraction and solve it

The perimeter of the triangle shown below is 44 centimeters. Find the value of x.
2x + 1
3x
2(x + 4)

Answers

Answer:

this is the answer sorry for the late reply

What factoring method do you use to factor u²+70
1) difference of
squares
2) GCF
3) not foctorable
4) factor trinomial

Answers

Answer: 3) Not factorable

We cannot use the difference of squares method because we don't have a subtraction going on (ie "difference") and we don't have two perfect squares. The value 70 is not a perfect square.

We cannot factor out a GCF since the GCF here is 1, and that doesn't really affect things. Choice 4 is also not applicable because we don't have a trinomial. A trinomial has three terms.

What is the solution to this system of linear equations?
x - 3y = -2
x + 3y = 16


O 1.3
O (3.7)
O2-3)
O (-3,-2)

Answers

Answer:

(3,7)

Step-by-step explanation:

x-3y=-2 -----equation i

x+3y=16-----equation ii

Subtract the two equations from each other

-6y=-18

-6y/-6=-18/-6

y=3

Substitute for x in equation i

x-3(3)=-2

x-9=-2

x=-2+9

x=7

x=7,y=3

Answer:

X is 7, and Y is 3.

Step-by-step explanation:

Step 1: Add 3y to both sides

x - 3y + 3y = -2 + 3y

x = 3y - 2

Step 2: Substitute 3y - 2 for x in x + 3y = 16

x + 3y = 16

3y - 2 + 3y = 16

Step 3: Simplify both sides of equation

6y - 2 = 16

Step 4: Add 2 to both sides

6y - 2 + 2 = 16 + 2

6y = 18

Step 5: Divide both sides by 6

6y/6 = 18/6

y = 3

Step 6: Substitute 3 for y in x - 3y = -2

x - 3(3) = -2

Step 7: Multiply 3 by 3 for 9

x - 9 = 2

Step 8: Switch sides!

x = 9 - 2

Step 9: Subtract 9 minus 2 to get 7

x = 7

With that we have our final answers: x = 7, and y = 3.

Hello mee need help I’m going to get a whooping because I’m failing.

Answers

Answer:

number 1,2,4

Step-by-step explanation:

these are all equal sides

I was confused over this particular question. if you could help, I'd really appreciate it.​

Answers

Step-by-step explanation:

The 1st equation is in slope-intercept form.

=> Slope = 4

The 2nd equation is in point-slope form.

=> Slope = -1/4

Since their slopes are unequal,

The lines are not parallel to each other.

However the product of their slopes is -1,

Therefore the lines are perpendicular to each other.

The answer is the 2nd option.

Find the equation of the line.
Use exact numbers

Answers

Answer:

[tex]y=-\frac{1}{3} x+5[/tex]

Step-by-step explanation:

This question is asking for slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. First, find the slope; this can be done in two ways, counting change in y and x then dividing, or using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Either way for this graph the slope comes out as -1/3. Next, find the y-intercept, this is where the line intersects with the y-axis. In this case, the line touches the axis at 5, therefore 5 is the value of b.

Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Answers

X=-2/3y+11/3

x=-3/5y+14/5

Answer:

x = 1 ; y = 3

Step-by-step explanation:

5(2x + 3y = 11)

2(5x + 3y + 14)

(distribute)

10x + 15y = 55

10x + 6y = 28

(subtract)

9y = 27

(divided 9 to both sides)

9 divided by 9 cancels out and 27 divided by 9 = 3

so..

y = 3

now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value

2x + 3y = 11

2x + 3(3) = 11

(multiply 3 x 3)

2x + 9 = 11

(subtract 9 from 9 and 11)

2x = 2

(divide 2 from both sides)

2 divided by 2 = 1

therefore...

x = 1

please help struggling lol

Answers

Answer:

um i think 58

Step-by-step explanation:

Tammy and Jay go out to dinner. Their total bill, including tax, comes out to $46.14. Once they add tip, they end up spending $53.98. What percent tip did they give? (Round to the nearest percent).

Answers

Great job you got the answer correct you just have to subtract them that it your welcome

Another ASAP
Please don't put a wrong answer, if so your answer will be deleted. Thank you for your time!

Answers

Answer:

y=6

Step-by-step explanation:

y=4x-2

y=4(2)-2

y=8-2

y=6

Hope it helped!


A ladder leaning against a vertical wall makes an angle of 35 with the ground. The foot of the ladder is 3 meters from the base of the wall What is the
length of the ladder to the nearest tenth?

Answers

Answer:

6.1

Step-by-step explanation:

SOH-CAH-TOA

cos35=5/x

x=5/cos35

x=6.1m

The answers are 6.1 cm or m

subtract 24ab-10b-18a from 30ab+12b+4a​

Answers

Answer:

-6ab-22a-22b

Step-by-step explanation:

A rectangular ground has the breadth 80percent of length and perimeter is 360m. Find the cost of planting the ground at Rs 8 per m^2​

Answers

Answer:

Rs 64000

Step-by-step explanation:

Since breadth B = 80% of length L, B = 0.8L

Perimeter, P = 2(L + B) = 360m

Substituting B = 0.8L into P, we have

2(0.8L + L) = 360 m

2(1.8L) = 360 m

3.6L = 360 m

L = 360m/3.6

L = 100 m

So, B = 0.8L = 0.8(100 m) = 80 m

The area of the rectangular ground is A = LB = 100 m × 80 m = 8000 m²

So, the cost of planting the ground at Rs 8 per m² is  Rs 8 per m² × 8000 m² = Rs 64000

3x - 5 = 1/2x + 2x solve the equation and please show your work im confused x =___
dont look it up

Answers

Answer:

X=2.5

Step-by-step explanation:

3x - 5 = 1/2x + 2x

3x - 1/2x - 2x = 5

1/2x = 5

X = 5 ÷ 1/2

X = 2.5

One of the legs of a right triangle measures 15 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

8

Step-by-step explanation:

The Pythagorean theorem shows us that the measure of the sides in a right triangle can be calculated using the formula a^2 + b^2 = c^2. Using this formula, and filling in the blank, we can conclude that the other leg measures 8 cm.

Answer:

15

Step-by-step explanation:

will give brainliest :)
does force change in position
yes
no. or
it depends ​

Answers

Answer:

no but they can change in speed

Answer:

it depends

Step-by-step explanation

when there is a force its moving from some kind of energy ex: gravity

so when its faced with different energy it could change in position

What is the perimeter of the triangle?
units
Stuck? Watch a video or use a hint.
Report

Answers

The answer to your question is 30

in 10000$ in 12%intrest for 2 years how much interest you get??​

Answers

Here,

amount (p) =10,000$

Time period (t)=2 years

Rate of interest (r)=12%

So,Intrest (I)

we know that,

[tex]\boxed{ I=\dfrac{p×t×r}{100 }[/tex]

According to the question,

I=⠀[tex]\tt{\dfrac{10000×12×2}{100} }[/tex] ⠀

=[tex]\tt{\dfrac{\cancel{10000}×12×2}{\cancel{100}} }[/tex] ⠀

=[tex]\tt{ 100×12×2 }[/tex] ⠀

=[tex]\tt{ 2400 }[/tex] ⠀

So,

2400$ intrest in 10000$in 12%for 2 years

i- i just need help at this point...

Answers

Answer:

(2.8-3.5)/3.5=-.2 (100)=20%

Percent error is 20%

formula to fin percent error is ((approx-exact)/exact)(100)

Step-by-step explanation:

Find the rational number between 2 and 3​

Answers

Heyyy friend.!!!! Hope it helps uh....

A notebook is $3 more expensive than a
pen.
three notebook and four pens cost $44.
How much does one notebook cost?
How much does one pen cost?

Answers

Step-by-step explanation:

4 for a pen

7 for 1 note book

If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), where a > 0, what is the value of a?
50pts + BRAINLIEST

Answers

A n s w e r : .

a = 40

Solve 9x-17=5x-1
What is x?

Answers

Answer: x=4 hope this helps:)

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

9x-17=5x-1 isolate X

9x-17=5x-1 add +1 to each side of the equation 9x-17+1=5x-1+1 the ones cancels out... 9x-16=5x

add -9x to both sides..... 9x-16+9x=5x-9x...... 9x-9x-16=5x-9x

-16=5x-9x subtract 5x-9x

-16= - 4x divide both sides by -4

-4=x or x=-4

-

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