The revenue (in dollars) from the sale of x car seats for infants is given by the following function. R(x) =56x -0.020x^2 0less than or equal to x and 2800 is greater than or equal to x
Answer:
[tex]Rate = 15[/tex]
Step-by-step explanation:
Given
[tex]R(x) = 56 - 0.020x^2[/tex]
Required
Find the average change from 1,000 car seats to 1,050 car seats --- Missing information
This is calculated using:
[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]
In this case:
[tex]a = 1000[/tex]
[tex]b = 1050[/tex]
Now, we have:
[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
Calculating R(1050)
[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]
[tex]R(1050) = 58800-22050[/tex]
[tex]R(1050) = 36750[/tex]
Calculating R(1000)
[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]
[tex]R(1000) = 56000- 20000[/tex]
[tex]R(1000) = 36000[/tex]
So:
[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]
[tex]Rate = \frac{750} {50}[/tex]
[tex]Rate = 15[/tex]
The average rate of change is 12
A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
Choose a random number between 1 and 25. What is the probability that it is an even number
Answer:
6/25
Step-by-step explanation:
its a probability out of all the odd numbers such as 1,3,5,7,9,11,13,15,17,19,21,23,25
PLEASE HELP ME!!!! 20 POINTS!!!!!!!
What is the correct expanded form and value of 4/5?
A. 4/5+4/5+4/5=12/5
B.4/5•4/5•4/5=64/125
C. 4+4+4+4/5=12/5.
D. 5/4•5/4•5/4=125/64
A country's budget had a surplus of $250 billion in the year 2000. in 2004 , the budget had $447 billion. fund the difference between these amounts
Answer: $197 Billion
Step-by-step explanation: To find the difference between the two amounts, you simply subtract them! In this case, 447 - 250 = 197. Hope this helps!
Andre is planting saplings (baby trees). It takes him 30 minutes to plant 3 saplings. If each sapling takes the same amount of time to plant, how long will it take Andre to plant 14 saplings? If you get stuck, consider using the table.
Answer:
140 minutes
Step-by-step explanation:
If it takes him 30 mins to plant three, then 30 divided into three equal groups is 10. Then we multiply 14 and 10 together since it takes Andre ten minutes to plant each sapling. This means that the 14 saplings takes ten minutes EACH to plant.
Answer: 140
Step-by-step explanation:
i got it right
Convert 14/3 into a mixed number
Answer:
4 2/3
Step-by-step explanation: the four is on the side and 2 is over 3
Answer:
4 and 2/3
Step-by-step explanation:
3/3= 1 whole
14/3 - 3/3 =11/3 - 3/3= 8/3 - 3/3= 5/3 - 3/3= 2/3
No more 3/3, or 1 whole, can be subtracted, so you add the number of 3/3, or 1 whole, that you subtracted, which adds up to 4 wholes, and then you add the 2/3, which would equal 4 and 2/3.
what is 656 ÷ 4
we need to know how to solve this equation.
Answer: 164
Step-by-step explanation: 656 /4
164
write in exponential notation (-3)^6/ (-3)
Answer:
-3⁵
Step-by-step explanation:
3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵
Answer:
(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵
-3⁵ is the right answer.Find the 18h term of the arithmetic sequence whose common difference is d=4 and whose first term is a, =3.
Answer:
the 18th term is 71
Step-by-step explanation:
The general form for any term "n" in an arithmetic sequence is:
a(n) = a1 + (n-1) * d
where "d" is the common difference.
So, in our case we have:
a(n) = 3 + (n-1) *4
Therefore, the 18th term will be:
a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71
46. MULTI-STEP A flying disk has a radius of 4.9 inches. Jolanda discovers that adding a hole with a radius of 3.75 inches to the center of the disk reduces the weight of the disk, so it travels farther. Jolanda wants to experiment with the size of the disk to increase flying distance. In the new disks she creates, the sizes of the disks and holes are increased on decreased by the same amount. a. Write an expression for the area of the top of the new flying disks. b. Explain your solution process.
Answer:
jdnckrbekspqhdjgkck,bwmwldbcbxnlwlwwnckv
Find the number that makes the ratio equivalent to 12:1.
?:6
Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
The ratio of their perimeters is 3:5
Answer:
That is statement is true
Which group of numbers does 2,567
NOT belong to?
B
Whole
Integer
D
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
help plz
can someone simplify 3 to the power of 2 times 3 to the power of 3
Answer:
(9)(27) also 243
Step-by-step explanation:
So, 3^2=9, and 3^3=27, so (3^2)(3^3) is equal to (9)(27) or 243
One lap around the lake is 710 mile.
Dasha runs 9 laps around the lake.
Use the drop-down menus to complete the equation.
1. Given the triangle below, what is the value of sin 8
?
12
6
ก
65
Answer:
2
Step-by-step explanation:
bc
Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)
Find 9079 + 1232 + 9786.
toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?
Answer:
48 kilometers
Step-by-step explanation:
If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)
Describe the transformation below. Use words like translated, reflected, rotated, or dilated with a description.
Answer:
translated
Step-by-step explanation:
the shape slides to a new position, but nothing is changed size wise.
which inequality is the solution to 20+2
Answer:
is there supposed to be answer choices?
Step-by-step explanation:
Answer:
2.11
Step-by-step explanation:
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...).
The number of times that each prime divides the original integer becomes its exponent in the final result.
In our example,
Prime number to the power of equals .
Prime number to the power of equals .
Find the area of the trapezoid.
1 1/2cm
4 cm
3 1/2 cm
Mary has 200ml of hand sanitizer that is 15% alcohol. She mixes it with 200ml of a
hand sanitizer that is x% alcohol,
How many milliliters of water is in the resulting mixture of hand sanitizers?
Answer:
(370-2x)ml
Step-by-step explanation:
We are given that
In first hand sanitizer
Total solution=200ml
Alcohol=15% of 200ml
Alcohol=[tex]\frac{15}{100}\times 200=30ml[/tex]
In second hand sanitizer
Solution=200 ml
Alcohol=x% of 200 ml
Alcohol=[tex]\frac{x}{100}\times 200=2x ml[/tex]
We have to find the water in the resulting mixture of hand sanitizers.
Total solution of two hand sanitizers=200+200=400ml
Total alcohol in two hand sanitizers=(30+2x)ml
Water in two hand sanitizers=400-(30+2x) ml
Water in two hand sanitizers=400-30-2x ml
Water in two hand sanitizers=(370-2x)ml
Hence, water in the resulting mixture of hand sanitizers=(370-2x)ml
I really need to know theese and rhe rest plsss
Answer:
10.45?
Step-by-step explanation:
Answer:
5.05
Step-by-step explanation:
-2.7+7.75
2.7 is how much he descends so its negative
And 7.75 for how much he went up so its positive
What is the slope of a line that passes through the points. (-2, 3) and (4, -12)?
-3/2
-2/5
-5/2
-9/2
Answer:
5/2
Step-by-step explanation:
5/2
i’m confused on this- can someone help me?
Answer: great adventure theme park is more expensive
Step-by-step explanation:
A researcher is dividing a sample with a mass of 9.2 * 10 ^ - 3 grams into smaller samples with a mass of 2.3 * 10 ^ - 4 grams . How many smaller samples will she be able to make?
Answer: C) 400
Step-by-step explanation: