Answer:
Car A: Initial Charge = 20
Car B: Initial Charge = 30
Car A: Rate = 5
Car B: Rate = 0
At 2 miles, their charges will be the same
Step-by-step explanation:
Given
Car A
[tex]Base\ Charge = \$20[/tex]
[tex]Rate = \$5[/tex] per mile
Car B
[tex]Base\ Charge = \$30[/tex]
Solving (a): The initial charge
First, we get the linear equation that represents both car's charges.
Represent number of miles with m.
So, the charges is:
Car A
[tex]A = Base\ Charge + Rate * m[/tex]
[tex]A = 20 + 5 * m[/tex]
[tex]A = 20 + 5m[/tex]
Set m to 0 to get the initial charge:
[tex]A = 20 + 5*0[/tex]
[tex]A=20[/tex]
and
[tex]Rate = 5[/tex]
Car B:
[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0
[tex]B = 30+ 0 * m[/tex]
[tex]B = 30[/tex]
So:
[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]
Solving (b): When their charge wil be equal.
To do this, we set:
[tex]A = B[/tex]
[tex]20 + 5m = 30[/tex]
[tex]5m = 30- 20[/tex]
[tex]5m = 10[/tex]
[tex]m = 2[/tex]
At 2 miles, their charges will be equal
10 POINTS! PLZ ANSWER!
Where do planes ABC and BFG intersect?
See
In plane ABC or ABCD and plane BFGC or BFG. the common side is
line BCSo both the planes intersect at line BC
Option BPetey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
RIP my points went down alot ;-; gived away 1k+ points today. sry i couldnt give more. ill give brainliest to first person that answered
Heya, how are you doing today ^-^
Determine the graph that represents a function.
-4-2-2) - 2x + 5 = 31
Answer:
2x+5=31 is the most common correct answer
please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
Convert the equation to vertex form.
y = x2 – 8x + 10
Answer:
Step-by-step explanation:
y = (x² - 8x) + 10
Complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = (x²-8x + 4²) - 4² + 10
y = (x-4)² - 6
Answer:
y = (x - 4)² - 6
Step-by-step explanation:
use the 'completing the square' method:
x² - 8x + 10 = 0
x² - 8x + 16 = -10 + 16
(x - 4)² = 6
y = (x - 4)² - 6
Please help, you HAVE to show your work! Write down the problem, show your work, and put a picture of your work with your answer! Will give Brainliest to the person with the correct answer! Worth 20 points!
Answer:
The total surface area of the shape is 376 square inches.
Bonus: the volume is 240 cubic inches.
Step-by-step explanation:
I'm not going to draw this for you, but to get the area, you just need to add up the area of the 6 rectangles.
First though, you need to know what they are. This is easier than it may seem though. You just need to remember that this will be folded into a rectangular box. You are given three side lengths, which is all that is needed for a box.
That is to say, you're given the width, height and length of this box. It's 10x8x6 inches.
so if you take every possible pairing of those numbers:
10x8
10x6
8x6
you have the area of all of the shapes. The only catch is that there are two of each size. Front and back are the same size, left and right are, and so are top and bottom.
So the total area of the shape is:
(front and back) + (left and right) + (top and bottom)
= (2 × 10 × 8) + (2 × 10 × 6) + (2 × 8 × 6)
= 160 + 120 + 96
= 376
Or rather, 376 square inches.
Bonus: the volume is much easier, being just 10 × 8 × 6, or 240 cubic inches.
2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of
Answer:
A=πr2=π·52≈78.53982m²
Step-by-step explanation:
Answer:
78.57 m^2
Step-by-step explanation:
answer is 78.57
I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?
Answer:
She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.
Step-by-step explanation:
First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”
What is the product?
(X^4)(3x-2)(4x2 +5x)?
Answer:
12x^7+7x^6-10x^5
Step-by-step explanation:
(X^4)(12x³+15x²-8x²-10x)
(X^4)(12x³+7x²-10x)
12x^7+7x^6-10x^5
The number of goats in a farm increases by 5 goats each year. If the farm has a population of 20 goats after the first year, and n denotes the number of years, which recursive equation gives the population of goats, , as a function of the year?
Answer:
f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2
(the > has a line under it)
Step-by-step explanation:
Answer:
f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2
Step-by-step explanation:
The other person left some numbers out.
Ethan tired to write an equation of the linear table but made a mistake. Need help it’s due today!?!?
Given:
The table for a linear function.
To find:
The equation of the linear function.
Solution:
If a linear function passes through two points, then the equation of linear function is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is
[tex]y-(-2)=\dfrac{0-(-2)}{4-2}(x-2)[/tex]
[tex]y+2=\dfrac{2}{2}(x-2)[/tex]
[tex]y+2=x-2[/tex]
Subtracting 2 from both sides.
[tex]y+2-2=x-2-2[/tex]
[tex]y=x-4[/tex]
So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.
Therefore, the required linear equation is [tex]y=x-4[/tex].
help mee please and thanks
Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.
Answer:
x= -1/5y + 2/5
not 100% sure if ur trying to solve for x or just graph that equation but hopefully this helped lol :)
1a) solve the equation
8x+5x^3-5 write polynomial in standard form, Then name the polynomial based on the degree and number of terms
Answer:
wag na baka imyday mo pa
Step-by-step explanation:
hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha
go through my questions there a surprise:)
Answer:
I will do that buddy. I'll have fun
Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?
Answer:
She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.
Step-by-step explanation:
The circunference of a circle is given by:
[tex]C = 2\pi r[/tex]
In which r is the radius, which is half the diameter. So, it can also be given by the following formula:
[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]
In which d is the diameter.
Which formula should Maria use to help her find the diameter of the rug?
She should use this formula:
[tex]C = \pi d[/tex]
Since the circunference is 50.24 inches, the diameter will be of:
[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 55% chance that Dave will not show up and a 45% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up
Answer:
a) 26.79%, b) 50.42% and c) 22.79%
Step-by-step explanation:
a. What is the probability that both Dave and Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%
b. What is the probability that at least one of them will show up?
There are two possibilities for this to happen:
Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%
Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%
Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.
c. What is the probability that neither Dave nor Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(0.53)(0.43)=0.2279=22.79%
a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?
Answer:
a)46 tablet approx
b)277 ml approx
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.
Answer:
Kindly check attached picture for sample space.
Step-by-step explanation:
Sample space, S
S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
The tree diagram for all 18 elements in the sample space can be found in the picture attached below :
a.)
Event A ; number on die < 3
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
b.)
Event B ; 2 tails occur :
B = {1TT, 3TT, 5TT}
QUESTIONS B, C and E are not well formatted
Which of these systems of equations has an infinite number of solutions?
Answer: The first one
Step-by-step explanation:
-6c + 11d = 20
-6c + 11d = 20
They're the same equation meaning they'll be on the same line. They would have infinite solutions.
Answer: The first one
Step-by-step explanation:
-6c + 11d = 20
-6c + 11d = 20
Find the values of x and y in the diagram.
Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
Suppose that You had launch the message 6.75 feet west from the edge of the ravine Instead of 5 feet west from the edge of the ravine would the message make it across the ravine show your work and explain your answer
Answer:
6.75 times 5 would be 17.1
Step-by-step explanation:
What is the perimeter of the rectangle given below?
The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answer:
a= 12, c= 24
The Solution:
a=?, c=?, No. of people attending=36
since c is twice as many as a, a= 2a
a + 2a= 36
3a= 36
(divide both sides by 3)
3a/3=36/3
a= 12
therefore, a= 12
since c is equals to 2a,
2a= 2(12)
2a= 24
therefore, c= 24
Please Helppplpppppp
is every relation a function?
pls solve ii need it
Answer:
multiply each decimal
Step-by-step explanation:
Answer:
1.144
Step-by-step explanation:
multiply 1.1x0.8x1.3
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55