Juan is filling a tank. The graph shows the amount of water in liters) in the tank versus time (in minutes).
800-
(a) What is the amount of water in the tank at 0 minutes?
720
liters
640
560
(b) Choose the statement that best describes how the time and
amount of water are related. Then fill in the blank.
480
400
Amount
of water
(liters)
O
As time increases, the amount of water in the tank
decreases.
320.
2401
At what rate is the amount of water decreasing?
160
80
liters per minute
As time increases, the amount of water in the tank
increases
Time (minutes)
At what rate is the amount of water increasing?
liters per minute
Answers
Answer:
Step-by-step explanation:
To answer all the parts given find the equation of the line given in the graph.
Let the equation is,
y = mx + b
m = slope of the line
b = y-intercept
x = time
y = Amount of water
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the given line passing through (0, 80) and (1, 320)
m = [tex]\frac{320-80}{1-0}[/tex]
m = 240
Y-intercept 'b' = 80
Therefore, y = 240x + 80 will be the equation.
a). At x = 0
y = 240(0) + 80
y = 80 liters
b). As the time is increasing amount of the water is increasing
Rate of increase in the water = Slope of the line
= 240 liters per minute
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Answer: T(x) = 18x + 65
Step-by-step explanation:
T(x) = A(x) + B(x)
T(x) = 10x + 50 + 8x + 15 [Plug in the number for A(x) and B(x)]
T(x) = 10x + 8x+ 50 + 15
T(x) = 18x + 65
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What would be the length for KL and why? PLEASE HELP
Answers
Answer:
5.333
Step-by-step explanation:
8(0.75)=6
x(.75)=4
5.333×.75=4
Write the first four terms of the sequence.
f(n) = (n-1) (n-2)
Answers
Answer:
the first four terms are 0,0,2,6
Step-by-step explanation:
The computation of the first four terms of the sequence is shown below:
Given that
f(n) = (n - 1) (n -2)
= n^2 - 2n - n + 2
= n^2 - 3n + 2
Now the first four terms are
f(1) = 1^2 - 3(1) + 2
= 1 - 3 + 2
= 0
f(2) = 2^2 - 3(2) + 2
= 4 -6 + 2
= 0
f(3) = 3^2 - 3(3) + 2
= 9 - 9 + 2
= 2
f(4) = 4^2 - 3(4) + 2
= 16 - 12 + 2
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= 6
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Can someone help me with these ?
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how do I resolve this?
Answers
Answer:
32
Step-by-step explanation:
20+2+4+6
pls mark brainliest
Sam has twice as many as books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do they have altogether?
Answers
Answer:
48
Step-by-step explanation:
Sam had 36 books
Jim had 12
after same gave Jim 12 books, they each had 24 books
If triangle ABC is an equilateral triangle with sides of 12 ft , and points X,Y, and Z are the midpoints of each side , find the perimeter of triangle XYZ.
Answers
Answer:
I dont know the answer so I'm gonna give it my best sorry!
Step-by-step explanation:
I think that it is 36 ft.
An airplane company wants to make a model of an 87 foot airplane. The scale they are using is 2in=8ft. How many inches long with the model airplane be?
Question 2 options:
2 inches
16 inches
10.875 inches
21.75 inches
Answers
Find the value of x. Round to the nearest tenth.
Use this to find the value of x: tan (x) = 4/3
Answers
Using tan(x) = 4/3
X = arctan(4/3)
X = 53.1 degrees
Answer:
Step-by-step explanation:
tan x = 4/3
tan x=1.333333
divide both sides by tan
x=1.33333/tan
x=tan inverse of 1.33333
x=53.130
x=53.13 to the nearest tenth
Find the product.
(-4·3·2)2
Answers
(- 4 * 3 * 2)*2 = - 48
You could’ve used a calculator too :)
0 > 3x - 3 - 6
what is answer
Answers
Answer:
x < 3
(*￣3￣)╭
Answer:
The answer is x < 3.
Step-by-step explanation:
1) Simplify 3x - 3 - 6 to 3x - 9.
[tex]0 > 3x - 9[/tex]
2) Add 9 to both sides.
[tex]9 > 3x[/tex]
3) Divide both sides by 3.
[tex] \frac{9}{3} > x[/tex]
4) Simplify 9/3 to 3.
[tex]3 > x[/tex]
5) Switch sides .
[tex]x < 3[/tex]
Therefor, the answer is x < 3.
Segments AB,DC, and EC intersect at point C. Angle DCE measures 148. Find the value
Answers
Answer:
x = 16°
Step-by-step explanation:
We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°
∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)
∠ACD = x, ∠DCE = 148, ∠ECD = x
substituting the respected values for the angles gives:
x + 148 + x = 180
2x + 148 = 180
subtracting 148 from both sides:
2x + 148 - 148 = 180 - 148
2x = 32
Dividing both sides by 2, to get x:
2x/2 = 32/2
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Which of the following uses electrical energy?
The sun
A washing machine
A cat
A plant
Answers
Answer:
B. A washing machine.
Step-by-step explanation:
What's Electrical energy?
Electrical energy is energy derived from electric potential energy or kinetic energy. When used loosely, electrical energy refers to energy that has been converted from electric potential energy.
Hope this helps!
The diagram below.....
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Answer:
what are the rest of the answer options I need to know that before I answer it
The measure of one base angle of an isosceles triangle is 35 degrees. What is the measure of the vertex angle?
Answers
Answer:
110 degrees
Step-by-step explanation:
The measures of the two base angles of an isosceles triangle are the same so 180 - 2(35) = 110 which is the vertex angle.
What should be added to both sides of the equation below to complete the square?
x?
+ 6x = -8
O-4
O-2
O-9
09
Answers
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
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4.) Show that sec 0 sin 0 cot 0= 1 is an identity
Answers
Answer:
1/sin(0)+sin(0)+cos0/sin0= 1
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Answers
Answer: c
(2, 0.5)
Step-by-step explanation:
A rectangle has an area of 270m2.
One of the sides is 3m in length.
Work out the perimeter of the rectangle.
Answers
Solving for x, x = 90
So one side is 90m and the other is 3m.
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What is the center of the circle x2 + y2 - 13x – 22 =0
Answers
[tex] \frac{13}{2} 0[/tex]
[tex] \frac{ \sqrt{257} }{2} [/tex]
Answer:
mark me as brainiest and follow up
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8? 12 15 17 18
Answers
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
7+(16-7)/3+8
7+9/3+8
7+3+8
18
HURRY PLEASE I RLLY NEEED THIS NOW AND I DONT OPEN LINKS
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Answer: Option 2
Step-by-step explanation: its option2
Simplify.
Rewrite the expression in the form 4^n
(4^2)^4
Answers
The ratio of girls to boys in a swimming club was 2 : 4. There were 14 girls. How many total members were there in the club?
Answers
Answer:
42
Step-by-step explanation:
the ratio 2:4 can be reduced to 1:2,
where the number of girls corresponds to the 1 and the number of boys corresponds to the 2.
If there are 14 girls, then there must be 28 boys (14 x 2 = 28).
Now to get the total number we need to add the total number of boys and girls together.
So 14 + 28 = 42
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Answer:
32
Step-by-step explanation:
14 + 28 = 32
2 x 7 = 14
4 x 7 = 28
The length of a field in feet is a function f(n) of the length n in yards. Write a function rule for this situation.
A.f(n) = 12n
B.f(n)=1/3n
C.f(n)=n/12
D.f(n) = 3n
Answers
Answer:
D.f(n) = 3n
Step-by-step explanation:
The function rule for this given situation is shown below;
Given that
The length of the field in feet would be f(n) of the length n in yards
Now as we know that
1 yard = 3 inches
So
f(n) = 3n
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Make u the subject of the relation.
1.wx+yz=uv-2wx
Answers
Answer:
Step-by-step explanation:
wx+yz=uv-2wx
uv = wx + yz + 2wx
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Answers
Answer
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Step-by-step explanation:
salamander:frog
6:7
start by setting up the ratios as fractions and using x as the variable.
[tex]\frac{6}{7}[/tex]=[tex]\frac{9}{x}[/tex]
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Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
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