Answer:
62 degrees.
Step-by-step explanation:
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
What number do the blocks represent?
Write your answer as a decimal.
Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption, C, in liters per kilometer, at a given speed, s. is given by a function C = f(s), where s is the car's speed in kilometers per hour.
Required:
a. What are the units on f'(s)?
b. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90
Answer:
(a) The units of f'(s) is kilometer per liter
(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]
Step-by-step explanation:
Given
[tex]C = f(s)[/tex]
[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]
Solving (a): Unit of f'(s)
From the question, we understand that:
[tex]C = f(s)[/tex]
and
[tex]C = Litre/km[/tex] --- units
f'(s) is the inverse of C.
Hence:
i.e.
[tex]f'(s) = C^{-1}[/tex] --- units
So, we have:
[tex]f'(s) = (Litre/km)^{-1}[/tex]
[tex]f'(s) = Km/Litre[/tex]
Solving (b): Instantaneous rate of change at:
[tex]s = 90[/tex]
We have:
[tex]C = f(s)[/tex]
The change is calculated as:
[tex]\triangle = \frac{f(s)}{s}[/tex]
Substitute 90 for s
[tex]\triangle = \frac{f(90)}{90}[/tex]
Given that: [tex]f(90) = 0.02[/tex]
[tex]\triangle = \frac{0.02}{90}[/tex]
[tex]\triangle = 0.000222[/tex]
[tex]\triangle = 2.22 * 10^{-4}[/tex]
what is -9.25 as a faction
Answer:
-37 / 4
Step-by-step explanation:
What is the volume of this triangular pyramid?
5 yd
3 yd
3 yd
Answer:
45
Step-by-step explanation:
volume=length x width x height
5x3x3=45
Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]
What is the y-intercept of this equation?
5x + 4y = 8
Answer:
2
Step-by-step explanation:
5x + 4y = 8
5*0 + 4y = 8
y = 8/4
y=2
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
How many arc degrees are in the minor arc?
- 32.5 degrees
- 65 degrees
- 115 degrees
- not here
Answer:
115°
Step-by-step explanation:
x =180-65=115°
------
Pleaseeeeeeeeee helppppp
-3x+15y=-30
-4x+5y=5
Answer:
(-5,-3)
Step-by-step explanation:
The answer is (-5,-3)
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
Please help me due today
Answer:
x = 88
Step-by-step explanation:
Becuase this is a quadrilateral, the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88
hope this helps
Is 28 square foot rational
Answer:
Yes.
Step-by-step explanation:
A rational number is a number that is a result when you divide two integers.
The question is in the photo, that answer is not correct. At least I do not know if it is.
Answer:
Step-by-step explanation:
To get the solution lying in the shaded region,
Justify the equation with the given options,
Option (1)
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
For (1, 1),
[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]
[tex]\frac{1+4}{16}\leq 1[/tex]
[tex]\frac{5}{16}\leq 1[/tex]
True.
Therefore, point (1, 1) justifies the equation.
Option (2)
For (4, 1),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]1+\frac{1}{4}\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (4, 1) doesn't justify the equation.
Option (3)
For (-1, 2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+1\leq 1[/tex]
[tex]1\frac{1}{16}\leq 1[/tex]
False.
Therefore, point (-1, 2) doesn't justify the equation.
Option (4)
For (2, -2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{4}+1\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (2, -2) doesn't justify the equation.
Option (1) will be the answer.
A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) It is not a valid sample because it is only a short study. It is a valid sample because money was offered to participants. It is a valid sample because the first five people were selected to participate. It is not a valid sample because it is not a random sample of the population.
Answer:
C : VALID
Step-by-step explanation:
1) Solve for x.
(3.x - 2)°
(14x -19°
(9x+7)
Answer:
x = 12
Step-by-step explanation:
We will label the unknown interior angle of the triangle d.
14x - 19 + d = 180
14x + d = 199
d = 199 - 14x
199 - 14x + 3x + 9x + 7 - 2 = 180
199 - 2x +5 = 180
204 - 2x = 180
204 = 180 + 2x
2x = 24
x = 12
Which number is an integer?
Answer:
0
Step-by-step explanation:
0 is an integer.
plz mark as brainliest
Solve for x. Show your work.
Meiko is hanging a picture-collage on her wall. It is in the shape of a parallelogram. How much wall area will it cover?
A parallelogram has a base of 18 inches and a height of 28 inches.
156 in.2
252 in.2
504 in.2
576 in.2
Answer:
504 in.^2
Step-by-step explanation:
Area = base times height
Answer:
1,080 in.2
1,260 in.2
✔ 1,620 in.2
2,160 in.2
or C for the lazy people, don't sweat it - im lazy too
9 weeks 2 days = ?
days?
Answer:
9weeks 2days = (9 × 7) + 2 = 63 +2=65 days
Step-by-step explanation:
Answer:
65 days
Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days
Given that A, O & B lie on a straight line segment, evaluate
x
.
Answer:
Step-by-step explanation:
It is the same way:
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
please mark me as brainliest
Can anyone please help me
Answer:
-5
-8
49
Step-by-step explanation:
if a circle has a enter of (-5,-8) the first part looks like
(x+5)²+(y+8)²
to find the radius just plug in x=2 and y= -8
(2+5)²+(-8+8)²
7²+0=49
What percent of 160 is 56?use the percent bare model
Answer:
35%
Step-by-step explanation:
This is simple, just use the formula: Number1 / Number 2 x 100 when you use it it will look like: 56/160x100 which 56/100 is 0.35 and 0.35x100 is 35%
The population of the world in 1987 was 5 billion and the growth rate was estimated at3 percent per year.the population size (in billions) can be modeled by the formula A = 5(1.03)t where t is the number of years after 1987. Find the projected world population in 1995 . Give your answer in terms of billions of people.
Answer:
6.3 billion people
Step-by-step explanation:
[tex]A=5(1.03)^t[/tex]
The "base year" is 1987 when there were 5 billion people. That year corresponds to t = 0 (t measures years after 1987)
That makes 1995 = 1995 - 1987 = 8, so t = 8.
Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]
If a is negative, then
is negative.
Which expressions are equivalent to 4d+6+2d?
Choose all answers that apply.
2(3d+3)
6(d+6)
(3d+3) + (3d+3)
i know number 3 is right
Answer:
(3d+3) + (3d+3)
Step-by-step explanation:
what is the answer (x + 3)2 – 5 = 0
x= -1/2 is the answer to your question. Mark as brainliest!!!!
ASAP PLS HELP!!! Find the value of x
A)127
B)147
C)53
D)None of these answer
E)37
Answer:
should be C
Step-by-step explanation:
They are congruent
In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.
Brenda recorded the amount of time it took to cook potatoes in a microwave.
Are the data proportional? How do you know?
Answer:
Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.
Answer:
Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.
Step-by-step explanation:
2 × 5 = 10
3 × 5 = 15
5 × 5 = 25