Answer:
316 ls the next term greater than 312. in the sequence you are adding 4 to the preceding term
A delivery company has a fleet of vans. The annual operating cost in dollars) per van is C = 0.37m + 2600, where m is the number of miles traveled by a van in a year. What number
of miles will yield an annual operating cost of $13,700?
mi
Answer:
Step-by-step explanation:
put C=13,700 and find m
The number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
How to determine What number of miles will yield an annual operating cost of $13,700To find the number of miles that will yield an annual operating cost of $13,700, we need to solve the given equation for \(m\):
\[C = 0.37m + 2600\]
Given \(C = 13700\), we can substitute this value into the equation and solve for \(m\):
\[13700 = 0.37m + 2600\]
Subtract 2600 from both sides:
\[11100 = 0.37m\]
Now, divide both sides by 0.37:
\[m = \frac{11100}{0.37}\]
Calculate the value of \(m\):
\[m \approx 30000\]
So, the number of miles that will yield an annual operating cost of $13,700 is approximately 30,000 miles.
Learn more about operating cost at https://brainly.com/question/30566291
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The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.
Answer:
L - 10 . W - 5
Step-by-step explanation:
Length = 3*width - 5
area = length * width
50 = (3w-5)* w
50 = 3w^2-5w
0 = 3w^2 - 5w -50
0= (3w+10)(w-5)
w = 5 , w can't equal -10/3 because width can't be negative
width is 5
Length = 3 * 5 - 5
Length = 10 , width = 5
Answer:
first lets say w is the width
50(area)=w(idth)+3(w-5)
50=w+3w+15
50=4w+15
35=4w
8.75=w
w equals 8 3/4
Hope This Helps!!!
Please help me Asp please really fast
Who could help me out on these questions there is a store to it ! Asap pleaseee
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
solve using a system of equations. will mark brainliest for correct answer and working
Answer:
2 6/7 km/hStep-by-step explanation:
t - time spent by boat, s - speed of the raft
time = distance / speed
Equations:
t = 20 / 12t + 5 h 20 m = 20 / sTime the patrol-boat spent:
t = 20/12 = 5/3 hTime the raft spent:
5 h 20 min + t = 5 1/3 + 5/3 =16/3 + 5/3 =21/3 =7 hoursThe speed of the raft:
7 = 20/ss = 20/7s = 2 6/7 km/hr^2- 3s^2; r= -2, s=3
2 – 3s^² =
Answer:
-23
-25
Step-by-step explanation:
r² - 3s² → (-2)² - 3(3)² → 4 - 27 → -23
2 - 3s² → 2 - 3(3)² → 2 - 27 → -25
Consider the following equation.
x+4y=14
Determine the missing coordinate in the ordered pair (−2,?) so that it will satisfy the given equation.
Explanation:
We plug in x = -2 and solve for y
x+4y = 14
-2+4y = 14
4y = 14+2
4y = 16
y = 16/4
y = 4
Therefore, the point (-2, 4) is on the line x+4y = 14.
Find the lcm of 4 and 4?
Answer:
lowest common multiple of 4 and 4 is 4
To verify those for alpha and beta, simply substitute the known values:
sin 30° = cos 60° = 1/2
sin 60° = cos 30° = √3/2
cos 90° = sin 0° = 0
sin -30° = -1/2
sin 120° = √3/2
a.
cos 90° = cos 30° cos 60° - sin 30° sin 60°
0 = √3/2 * 1/2 - 1/2 * √3 / 2 = √3/4 - √3/4 = 0
verified
b.
sin -30° = sin 30° cos 60° - cos 30° sin 60°
-1/2 = 1/2 * 1/2 - √3/2 * √3/2 = 1/4 - 3/4 = -2/4 = -1/2
verified
c.
sin 120° = 2 sin 60° cos 60°
√3/2 = 2 * √3/2 * 1/2 = √3/2
verified
Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,
Answer:
[tex]a_n=-1+(n-1)(-2)[/tex]
Step-by-step explanation:
The arithmetic sequence formula looks like this:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:
[tex]a_n=-1+(n-1)(-2)[/tex]
Just to confirm:
[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]
And it works, -5 is the 3rd term in the sequence.
Answer:
[tex]a_{n}[/tex] = 1 - 2n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then
[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n
help me out please i dont understand this
Answer:
x=7°
Step-by-step explanation:
From the picture it tells us that all side are equal
so that means every side is 60°
Let's make an equation
9x-3°=60°
add 3 on both sides
9x=63°
divide both sides by 9
x=7°
3. 13.2 -0.006
How would you show the work
Answer:
13.194
Step-by-step explanation:
13.2
- 0.006
-----------------
Just add zeros on the part where there are no numbers
13.200
- 0.006
------------------
13.194
Javad had a mix of yellow and red jellybeans as shown on the
graph. If there are 40 total jellybeans in his bag, how many
are red?
Hi there!!
The ratio of red jelly beans to yellow is 7:3.
There are 40 jelly beans.
7+3 is 10.
40/10 is 4.
7*4 is 28.
Therefore, 28 jelly beans are red.
During the summer, many homeowners struggle to keep ant's out of their homes. In a specific
kitchen, the population of a colony of ants is given by
P(t) = 42(1.168)
where P(t) is the populationand t is the number of days after June 1st.
(a)What is the daily growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(b)What is the continuous growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(c)When will the population reach 500 ants? Use an algebraic solving process to show
that it will take 15.95 days to reach 500 ants.
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Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.
Answer:
Step-by-step explanation:
The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).
The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50. If the renter drove 600 miles the upper end of the range would be $60. And so on.
Find the measure of the supplement of an angle that measures 72º.
O 18°
O 36°
O 72°
O 108°
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest
Answer:
2 6/15, 2 4/9, 2 3/5, 2 2/3.
Answer:
2 6/15, 2 4/9, 2 3/5, 2 2/3
Step-by-step explanation:
2 6/15 = 2 2/5
8/3, 12/5, 13/5, 22/9
120/45, 108/45, 117/45, 110/45
what 2.3892 decimal of the round to nearest hundredths
Answer:
2.38
Step-by-step explanation:
William wish1wish woman weeks whereby when wishful willful
As you may know, the 8 would be located in the hundreaths place.
2.3892
If the number right of 8 is five for less, it says the same. If it's 5 or more, then 8 would change. In this case, 9 is more than 5 meaning that 8 becomes 9. However, we aren't quite finished yet. 9 and everything left of that number must become 0.
Your answer would be 2.39.
Whats the answer to 2 1/6 + 3 4/9?
Answer:
4.61
did that help??
Step-by-step explanation:
[tex]2 \dfrac 16 + 3 \dfrac 49 \\\\\\= 2 + \dfrac 16 + 3+ \dfrac 49\\\\\\ = 5+\dfrac{11}{18}= 5 \dfrac{11}{18}[/tex]
Need the answer to this pls
Answer:
b
Step-by-step explanation:
y=-1/4 x -3
Pete says the relationship between the amount he weighs and his age are proportional do you agree or disagree? explain
Answer:
Disagree
Step-by-step explanation:
I dont think this is a math question but answering it in a science point of view it would make sense to disagree with Pete. There is a lot of factors that go into the weight of a person such as gender, age, body frame, and height. Lots of people can vary which is why its not proportional
Function or non functional???
Answer:
The relation is a function.
Step-by-step explanation:
In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:
A relation is a function for which none of the ordered pairs have the same first component and different second components.
In the given relation:
The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.The given relation represents a function since none of the first components have the same corresponding second components. In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.
Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.
Find all missing angles.
M21 =
m22
m23
57-
72•
4
m24
Answer:
4 better explanation inbox
Step-by-step explanation:
What is the answer for my question
33.22 x 34.98 =
Answer:
1162.0356
Step-by-step explanation:
A right triangle with a hypotenuse of square root of 61 has an area of 15 square inches. Find the lengths of the other two sides.
The lengths of the other two sides are 6 inches and 5 inches
Let b represent the base of the right triangle, h represent the height of the right triangle and x represent the hypotenuse.
Since the area of the triangle is 15 in², hence:
Area(A) = (1/2) * base * height
15 = (1/2)bh
bh = 30
b = 30/h (1)
Applying Pythagoras theorem also:
x² = b² + h²
(√61)² = b² + h²
61 = (30/h)² + h²
61 = 900/h² + h²
61h² = 900 + h⁴
h⁴ - 61h² + 900 = 0
h = -6, -5, 5, 6
Since the length cant be negative, hence h = 5 or h = 6
When h = 5; b = 30/5 = 6
When h = 6; b = 30/6 = 5
Therefore the lengths of the other two sides are 6 inches and 5 inches
Find out more at: https://brainly.com/question/2773823
it has been suggested that the percentage of drivers in the us that use a blinker when changing lanes is58% you plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car the does not use a blinker during a lane change?
Since the number of trials is not fixed, an inverse binomial distribution is used.
For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.
However, we are counting the number of trials until observing a car that does not use a blinker during a lane change, hence, it is an inverse binomial variable.A similar problem is given at https://brainly.com/question/25644451
1.79 ÷1.23=
A 1.31
B 1.35
C 1.5
D 1.38
Answer:
1.45528455285
Step-by-step explanation:
Round it up to nearest 10. So it's C
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Find the solution(s) of the system of equations.
y = –x2 + 2
y = x2 + 4x + 4
Question 16 options:
A)
(1, 1)
B)
(–1, 1) and (1, 1)
C)
(–1, 1) and (0, 2)
D)
(–1, 1)
Answer:
D) (–1, 1)
Step-by-step explanation:
The solutions can be found by equating the expressions for y, then solving for x. The y-value(s) can then be found using the solutions for x.
y = y
-x² +2 = x² +4x +4
2x² +4x +2 = 0 . . . . . . . . . add x² -2
2(x +1)² = 0 . . . . . . . . . factor
x = -1 . . . . . . . . . . one solution that makes the factors zero
y = -x² +2 = -(-1)² +2 = -1 +2 = 1
The only solution is (x, y) = (-1, 1).
Which rational number could be graphed between 0 and 1?
A number line going from negative 5 to positive 3 in increments of 1.
O Negative one-half
O One-fourth
O Three-halves
O 1.75
O NEGATIVE ONE-HALF ........
Answer:
answer is D
Step-by-step explanation:
the answer is 1.75
Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bike. The rest will have to come out of Justin’s savings. What amount will Justin need to come up with to get the new bike? Round two places past the decimal
Answer:
$199.89
Step-by-step explanation:
The bike costs 266.52
The parents are contributing one fourth of this (1/4)
We need to find 1/4th of 266.52
Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike
The answer is 66.63
Now subtract 66.63 from 266.52
Justin has to pay a total of 199.89