Total revenue= $32.13
What is the average rate of change of f(x) on the interval [-3, -1]?
Answer:
To get a more specific answer, you'll need a specific function formula.
Step-by-step explanation:
The average rate of change in a function is the slope of a segment connecting two points on the graph of the function. If a formula (rule) for the function is given, then a graph is not usually necessary.
Example: Given the function [tex]f(x)=x^2[/tex], what is the average rate of change on the interval [tex][-3,1][/tex]?
Find the value of the function at each endpoint.
[tex]f(-3)=9\\f(-1)=1[/tex]
Then find
[tex]\frac{f(-1)-f(-3))}{-1-(-3)}=\frac{1-9}{-1+3}=\frac{-8}{2}=-4[/tex]
The average rate of change in f on the interval is 4.
BRAINLIEST!!!!
An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment:
Account A:
interest rate = 8%
term of investment = 8 years
interest compounded annually Account B:
interest rate = 7%
term of investment = 10 years
interest compounding continuously
Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.
Answer:
Account B
Step-by-step explanation:
Account A will give 92 thousand dollars
Account B will give 100 thousand dollars
Account B will earn the customer the greatest amount of interest.
You don't even need to do the math! 4.9 > 4.8. Investing less but for a longer period of time would give your more in your bank account.
Hope this helps!
--Applepi101
Select the correct answer.
The function for a sequence is given below.
f(n) = 200 · 2n−1
What is the 5th term of this sequence?
A. 4,800
B. 1,600
C. 6,400
D. 3,200
Answer:
the answer is
Step-by-step explanation:
replace n with 5 and you got 3200
The 5th term of the sequence is 3200 therefore the correct option is option D.
SequenceA sequence is a collection of numbers (or other items such as geometric objects) that follow a pattern or function.
How to find 5th term of this sequence?The function for a sequence is f(n) [tex]=200\times2^{n-1}[/tex]
Where n represents the term.
So for the 5th term
f(5) [tex]=200\times2^{5-1}\\[/tex]
[tex]=200\times2^{4}[/tex]
= 200 × 16
= 3200
Hence the 5th term of the sequence is 3200.
Learn more about probability here- https://brainly.com/question/7882626
#SPJ2
Apparantly this Math problem is impossible? Ive posted it like 10 times and yet nobody has answered
Answer:
Step-by-step explanation:
r=5 ×90/100=4.5 in
h=6×90/100=5.4 in
a.
volume of original cylinder=π×5²×6=150 π≈471.24 in³
b.
volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³
c.
decrease in volume=150 π-109.35 π=40.65π
% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %
Need the answer to part a and part b please :)
Answer:
55° and 76°
Step-by-step explanation:
An inscribed angle is half the measure of its intercepted arc.
(a)
∠ IDE = [tex]\frac{1}{2}[/tex] × IE = 0.5 × 110° = 55°
(b)
arc TD = 2 × ∠ TED = 2 × 38° = 76°
i need help with this
Answer:
A
Step-by-step explanation:
For the first block, you need to multiply a x a x b
3 x 3 x 6 = 54
For the 2nd block, you need to multiply a x a x c
3 x 3 x 12 = 108
Now you need to add both volumes of the blocks
108 + 54 = 162 in^3
hey! i’ll give brainliest please help.
Answer:
its 2 subject paying tribute to the persian emperor
What’s the ratio of woman to man in city C? (I have added a file so you could see the image)!!..
1) 0.95
2) 0.94
3) 0.96
4) 0.93
find the rate of change
Answer:
adds 4 each time
Step-by-step explanation:
Which of the following options have the same value as 60% of 94?
Choose 3 answers:
0.06.94
0.6.94
94
60.94
60
.94
100
Answer:
[tex]60\% \: of \: 94 \\ = \frac{60}{100} \times 94 \\ = \frac{3}{5} \times \frac{94}{1} \\ = 18.4 \times 3 \\ = 55.2[/tex]
Solve for f: 6f + 9g = 3g + f
f = f equals StartFraction negative 8 g Over 3 EndFraction.
f = f equals StartFraction negative 6 g Over 5 EndFraction.
f = f equals StartFraction negative 5 g Over 6 EndFraction.
f = f equals StartFraction 12 g Over 7 EndFraction.
Answer:
f = -6g/5
Step-by-step explanation:
6f + 9g = 3g + f
combine like terms
6f -f = 3g - 9g
5f = -6g
divide both sides of the equation by 5
f = -6g/5
Answer:
f= -6/5. aka]. answer B
Step-by-step explanation:
Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
B
Step-by-step explanation:
Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.
Answer:
B. Graph B
--------------------
hope it helps...
have a great day!!!
Help please ;3; ksajnwns
Answer:
yes
no
yes
yes
Step-by-step explanation:
replace every number on y
and check whether it works or not.
Please help me with this question
Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
If the diameter of a circle is 20 inches,
What is the radius?
please help
Answer:
40
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Radius is diameter divided by 2.
20 divided by 2 = 10.
hey! please help i’ll give brainliest
Answer:
Your answer would be C: occurred during the same period of time
Step-by-step explanation:
what is equivalent to -23-(26)=x
PLEASE HELP ME! THANK YOU :D
A cylinder has a height of 10 ft and a volume of 25,456 ft³.
The radius of the cylinder is approximately ___ feet.
Round your answer to the nearest whole number.
Answer:
15 cm ft²
Step-by-step explanation:
need ko po that are many means
In the triangle shown above, m∠B = 105°, a = 12 in, and c = 8 in. What is the approximate length of side b?
A.
257.69 in
B.
14.44 in
C.
15.26 in
D.
16.05 in
Answer:
Step-by-step explanation:
Since we have one angle with an opposite side and another side known, we are dealing with an ambiguous case. There are either
0
,
1
or
2
solutions to this triangle.
We start by determining the measure of
A
using the law of Sines, since we already know the measure of side
a
.
sin
A
a
=
sin
B
b
sin
A
14
=
sin
105
˚
23
A
=
arcsin
(
14
sin
105
˚
23
)
A
=
36
˚
There is only one solution to this triangle, because if it was, then the alternative measure of A would be
180
˚
−
36
˚
=
144
˚
, which when added to
B
, would make the sum of the angles in the triangle exceed
180
˚
.
We can now use the measure of angles
A
and
B
to solve for angle C.
A
+
B
+
C
=
180
˚
36
˚
+
105
˚
+
C
=
180
˚
C
=
39
˚
The last step is using this information to reapply the law of sines and determine the length of side
c
.
sin
B
b
=
sin
C
c
sin
105
˚
23
=
sin
39
˚
c
c
=
23
sin
39
˚
sin
105
˚
c
=
15
In summary
The triangle has the following measures.
∙
A
=
36
˚
∙
a
=
14
units
∙
B
=
105
˚
∙
b
=
23
units
∙
C
=
39
˚
∙
c
=
15
units
Hopefully this helps!
The First Three Terms Of A Sequence Are Given. Round To The Nearest Thousandth (If Necessary). 403,395, 387, . Find The 36Th Term.
Answer:The 36Th Term is 683
Step-by-step explanation:
The nth term of an Ap Is given as
an = a1 + (n - 1 ) d.
Now the first term a1=403
and the common difference,d=403-395=8
The 36th term will now be
a₃₆ = a1 + (n - 1 ) d
a₃₆ = 403 + (36 - 1 ) 8
a₃₆ = 403 + (35 ) 8
a₃₆ = 403 +280
a₃₆ = 683
How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?
Step-by-step explanation:
-2(x + 3) = 2x - (5 – x)
-2x+6= 2x-5+x
-2x+6=3x-5
-2x-3x=-5-6
-5x=-11
x= 11/5
( 1 solution)
Answer:
Solution given:
-2(x + 3) = 2x - (5 – x)
-2x-6=2x-5+x
-6+5=2x+2x+x
5x=-1
x=[tex] \frac{-1}{5} [/tex]
It has one Solution.
in the diagram below, which expression represents x, the degree measure of the exterior angle. a. a +b b. a-b c. a +c d. b + c
Answer: A) a+b
Step-by-step explanation:
I need help with finding the circumference of a circle.
Answer:
circumference of circle = 2×radius of a circle.
hope it helps.
stay safe healthy and happy.
Answer:
use formula π×diameter or you can also use 2×π×radius
Jeffrey and Marie just had a baby and want to invest money into a bank account to save money for their newborn. The bank account they are looking into yields 6.8% interest each year. If Jeffrey and Marie invest $500, how much money will be in the account when their child's turns 18 years old
Answer:
$1,112
Step-by-step explanation:
6.8% x 500= 34
34 x 18 = 612
612 + 500 = 1112
Which set of angle measures could be the measures of the interior angles of a triangle?
50°, 60°, and 75°
35°, 105°, and 45°
62°, 62°, and 62°
90°, 45°, and 45°
Answer:
4th option
Step-by-step explanation:
4th option is the correct answer.
Answer:
D.
Step-by-step explanation:
I dont have long so brainest to first (honest answer or I'm reporting)
Answer:
w = 11
Step-by-step explanation:
[tex]5=\frac{w}{2.2}[/tex]
2.2 × [tex]5=\frac{w}{2.2}[/tex] × 2.2
11 = w
w = 11
Find the area of figure 2.
25 units2
10 units2
16.5 units2
7.5 units2
Answer:
7.5 units2
[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 5 \\ = 7.5 \: sq \: units[/tex]
bag of candy contains 4 strawberry
flavored gumdrops, and 5 orange
flavored gumdrops. If Billy reaches in,
takes one out and eats it, and then 20
minutes later selects another and eats
that one as well, what is the probability
that they were both orange flavored
gumdrops? Leave answer as a fraction in simplest form.
There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...
5/9, 4/8
Can you combine these two fractions for a final answer?
What is 3n at n = 11
Answer:
33
Step-by-step explanation:
3n but n is 11 means 3x11
Answer:
3n = 33 when n = 11
Step-by-step explanation:
n = 11
therefore
3(11)
which means 3 times 11
Answer = 33
Hope this helps!
A flower box is 3 ft. Long, 2 3/4 ft. Wide, and 1/2 ft. Deep. How many cubic feet of dirt can it hold? A. 4 1/8 B. 5 3/4 C. 6 1/2 D. 6 3/8
Answer:
The box can hold 4 1/8 cubic feet of dirt
Step-by-step explanation:
What we simply have to find here is the volume of dirt it can take
To get this, we have to multiply the dimensions of the box
We have this as follows
Volume or box = length * width * height
Volume of box = 2 3/4 * 1/2 * 3
Volume of box = 11/4 * 3 * 1/2 = 33/8 = 4 1/8 cubic feet