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

Which letter would be the most meaningful variable for this problem
situation?
The volume of juice a container can hold multiplied by 2

Answers

Answer:

The answer is b

sole the inequality and graph your solution 125x + 200 1200

Answers

Answer:

x= 8

Step-by-step explanation:

Which expression is equivalent to the given expression?
(-6ab)2

Answers

Answer:

B. 36a^2b^2

Step-by-step explanation:

1. Apply exponent rule: (-a)^n = a^n, if n is even

(-6ab)^2 = (6ab)^2

(6ab)^2

2. Apply exponent rule: (a × b)^n = a^nb^n

(6ab)^2 = 6^2a^2b^2

6^2a^2b^2

3. 6^2 = 36

36a^2b^2

In other words, your answer is B.

The answer is Option B)

What are like and unlike terms in an expression?

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: (-6ab)²=36a²b²

Hence, The answer is Option B)

Learn more about like and unlike terms here:

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Enter an expression equivalent to (a^9/a^3) in the form a^m

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]

A roll of tape has a total length of 150 inches. What is the length of the roll of tape , in yards ?

Answers

Answer:

4.16667

Explain:

i looked it up

Answer:

4 and 1/6 yards

Step-by-step explanation:

There are 36 inches in each yard since there are 3 feet in a yard and 12 inches in a foot. if you divide 150 inches by 36 inches you get 4 yards with a remainder of 6 inches which is 1/6th of a yard

Help fast! Determine which lines, if any, must be parallel. Check all that apply.

Answers

Answer:

a b m n

Step-by-step explanation:

A new car is purchased for $32,500. The car depreciates every year ata
rate of 14%. Write an exponential function that represents that situation

Answers

Answer:

[tex]y=32500(0.86)^{x}[/tex]

Step-by-step explanation:

General exponentially depreciating function is given as

[tex]y= a(1-b)^{x}[/tex]------------(1)

Where a is initial value, b is percent depreciation/unit time  and x is time

Here

[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]

Substituting above values in equation (1)

[tex]y=32500(0.86)^{x}[/tex]

At x=0

[tex]y=32500(0.86)^{0}\\y=32500[/tex]

At x=1

[tex]y=32500(0.86)^{1} \\y=27950[/tex]

what year was the best 2020 or 2019 lol I think we all know the answer

Answers

Answer:

2019 obviously!!!!!!!!!!

2019 because 2020 was the worst year lol

can someone help me pls
3х - 15 > 15​

Answers

Answer:

X > 10

Step-by-step explanation:

3x - 15 > 15

    + 15  (both sides)

3x > 30

divided by 3 (both sides)

X > 10

Isabel offers to buy a team photo for 8 of her teammates,
but 2 of them don't want one.
If a team photo costs $5, how much will Isabel spend on her teammates?
Choose the correct expression and solution to this problem.

Will give brainliest

Answers

ok no problem will do

2. What is the minimum value of of the function below
y = 2x2 – 8x + 11
O y=-3
O y = 2
O y = 3
O y = 11

Answers

What is the minimum value of of the function below y = 2x2 – 8x + 11 O y=-3 O y = 2 O y = 3 O y = 11

Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.​

Answers

Given:

The equation is

[tex]3.6y+7.5x=21600[/tex]

where, y is the number of cars and x is the number of trucks shipped.

To find:

The number of trucks that can be shipped if there are no cars.​

Solution:

We have,

[tex]3.6y+7.5x=21600[/tex]

If there are no cars in the cargo ship, then y = 0 because y is the number of cars.

Putting y=0 in the given equation, we get

[tex]3.6(0)+7.5x=21600[/tex]

[tex]0+7.5x=21600[/tex]

[tex]7.5x=21600[/tex]

Divide both sides by 7.5.

[tex]x=\dfrac{21600}{7.5}[/tex]

[tex]x=2880[/tex]

x is the number of trucks shipped.

Therefore, the number of trucks that can be shipped if there are no cars is 2880.

Grace is plotting the vertices of a parallelogram on the coordinate graph below. She has plotted the three points shown. Where could she plot the fourth point?

Answers

Answer:

6,2

Step-by-step explanation:

The fourth point of the parallelogram will be (-6,1) so option (C) will be correct.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

The slope of the green lines and red line should be same for being it a parallelogram.

Slope of green line = (7-2)/(3-1) = 2.5

So the only coordinate is matching the slope 2.5 of red line is (-6,1).

Slope = (6-1)/(-4+6) = 2.5

Hence "The fourth point of the parallelogram will be (-6,1)".

Learn more about parallelograms ​here,

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SOMEONE HELP BECAUSE I DONT GET THIS

Answers

Answer:

x = 18

m<A = 166°

Step-by-step explanation:

The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.

7x + 40 = 3x + 112

4x = 72

x = 18

m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166

7x+40 = 3x+112

x=18

7(18)+40

<A = 166

Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill?

Answers

Answer:

22.59

Step-by-step explanation:

Answer: 24.53

22.50 x 9% = Unknown = ?

22.50 x 0.09 = 2.03

22.50 + 2.03 = 24.53

Answer/ Total Cost = 24.53

Step-by-step explanation: I Hope this helps you!

Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?

Answers

The x represents 90.

Please I NEED HELP THIS IS MY MID-TERM

Answers

Answer:

I added the graph

Combine like terms to simplify the expression:

Answers

Answer: k/2 - 3/5

Step-by-step explanation: This is what my calculator came up with.

what is the slope of the line that contains points (3,-9) and (-2,16) please help !!

Answers

Slope = Change in Y / change in x

Slope = (16 - -9) / (-2 - 3)

Slope = 25/-5

Slope = -5

PLS HELP ILL AWARD BRANLIEST

The center of a hyperbola is (-5,8). The length of the conjugate axis is 6 units, and the length of the transverse axis is 14 units. The transverse axis is parallel to the y axis.
What is the equation of the hyperbola in standard form?

Answers

Answer:

Here is the answer to your question it is in this picture

Hurry! i need help! What is the slope of y=x+5

Answers

you cant find the slope without a graph or two points so if you add a graph or two points maybe I can help you

Answer:

1

Step-by-step explanation:

x = 1x, but the 1 is omitted

Because of y=mx+b, where slope = m, m=1

Draw a graph of y=4x-1 on the grid

Answers

Step-by-step explanation:

......................

Answer:

(0,-1) and (1,3) are the coordinates you draw he line through

Step-by-step explanation:

plot a point at -1 on the y axis and then turn the 4 into an improper fraction like 4/1 then you take the 4 on top of the fraction go up 4 units and over to the right 1 and those are your two points just draw a line in between 'em

Use the given similar triangles to find the value of x
I need the answer fast please!!

Answers

Answer:

I believe the answer is x=7

Step-by-step explanation:

3x and 4x-1 are corresponding sides and so are 14 and 18.

You cross multiply with the smaller triangle lengths at the top.

3x/(4x-1)= 14/18

Cross multiply to get

18(3x)= 14(4x-1)

54x=56x-14

Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)

you get 14=2x and divide 14 by 2 to get x=7

true or false? help please

Answers

Answer:

True

Step-by-step explanation:

Parallel lines always have the same slope, so therefore the answer is True

Answer:

True!

Step-by-step explanation:

These equations are parallel, because all equations that are parallel are going to have the same slope, and both of these equations have the same slope! If it was 5/3 and -3/5, then it would be perpindicular, because that is the negative reciprocal! I hope this helps!

someone please help me, i really need it. I'll award brainliest please :(
this is geometry by the way​

Answers

Answer:

150 degrees

Step-by-step explanation:

The sum of all angles in a pentagon is 540 degrees. So you add the measurements of the 4 you know - 95 + 95 + 100 + 100 = 390. Then you subtract 540 - 390 - 150 degrees for the last angle.

Will Mark Brainleist If you are correct!!!
If f(x)=9−4|x+1|, find f(−5).

A)−15
B)−7
C)7
D)23

Answers

Answer:

B) -7

Step-by-step explanation:

9-4|(-5)+1|

9-4|-4|

9-4(4)

9-16= -7

I hope this helps!

The length if the tunnel is 460 miles. if 1 inch represents 60 miles, what is the length of the tunnel?

Answers

Answer:

The length of the Tunnel is 8. 460/60 = 7.66666667 rounded to the nearest whole number is 8.

Step-by-step explanation:

CAN SOMEONE HELP ME OUT PLEASE!!! A baker makes 3 sponge cakes following the recipe exactly.How much more sugar does the baker use than flour to make 3 sponge cakes

Answers

l.5 more sugar than flower

10. (04.01)
Which of the following best defines a function? (4 points)
A function is a special type of relation for which there is a rule that pairs each input with exactly one output.
A function is a relationship that defines the connection between two variables.
A function is a set of ordered pairs in which no y-value repeats,
A function pairs input and output values with no particular pattern,

Answers

Answer:

A] A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Step-by-step explanation:

Answer:

A. A function is a special type of relation for which there is a rule that pairs each input with exactly one output.

Step-by-step explanation:

Find the coordinates of the midpoint ofL(2, -4), M(4, 6)

Answers

Answer:

[tex]\displaystyle (3,1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point L(2, -4)

Point M(4, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [MF]:                    [tex]\displaystyle (\frac{2+4}{2},\frac{-4+6}{2})[/tex][Fraction] Add:                                     [tex]\displaystyle (\frac{6}{2},\frac{2}{2})[/tex][Fraction] Divide:                                 [tex]\displaystyle (3,1)[/tex]
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