Answer:
[tex]Average = 30[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4^{x - 1} + 2[/tex]
Required
Average [tex]rate\ of\ change[/tex] from 2 to 4
This is calculated using:
[tex]Average = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a= 2[/tex] and [tex]b = 4[/tex]
So:
[tex]Average = \frac{f(4) -f(2)}{4 - 2}[/tex]
[tex]Average = \frac{f(4) -f(2)}{2}[/tex]
Calculate f(2) and f(4)
[tex]f(x) = 4^{x - 1} + 2[/tex]
[tex]f(2) = 4^{2-1} + 2[/tex]
[tex]f(2) = 4 + 2[/tex]
[tex]f(2) = 6[/tex]
[tex]f(4) = 4^{4-1} + 2[/tex]
[tex]f(4) = 4^3 + 2[/tex]
[tex]f(4) = 66[/tex]
So:
[tex]Average = \frac{f(4) -f(2)}{2}[/tex]
[tex]Average = \frac{66 - 6}{2}[/tex]
[tex]Average = \frac{60}{2}[/tex]
[tex]Average = 30[/tex]
Write an equivalent expression in word form.
(1- 1/3) / 2
Answer:
21
Step-by-step explanation:
What is a name for the marked angle?
A: CAD
B: CDA
C: FAB
D: FDA
Answer:
A.) Angle CAD
Step-by-step explanation:
Hope this helps! :)
HELP!!!! At approximately what value of x do the two lines meet?
At value of x=4
What is coordinate of a point?
A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines are called coordinates. General form of coordinate is (x, y)
From the graph we can see , coordinates of that point where both the lines are intersecting is (4, -3)
Because x coordinate is = 4
and y coordinate is = -3
At the value of x=4, the two lines intersect each other
Learn more about coordinate system :
https://brainly.com/question/4726772?referrer=searchResults
#SPJ2
You deposit $5,000 in a bank account that earns 4% simple interest. How much interest will you earn in 2 years?
Answer:
Step-by-step explanation:
Please can you help me
Answer:
0.5 (or 0.50)
Step-by-step explanation:
So we have 6, 12, and 6.
Add them all together to get 24
12 of the skittles are green, so find the percentage/decimal.
12/24 = 0.5 (or 50%)
Can somebody help me? -2-7p<26
Answer: p>−4
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2−7p<26
Step 1: Simplify both sides of the inequality.
−7p−2<26
Step 2: Add 2 to both sides.
−7p−2+2<26+2
−7p<28
Step 3: Divide both sides by -7.
−7p
−7
<
28
−7
p>−4
During hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many shots did he take?
Answer:
86 shots
Step-by-step explanation:
this is algebra 1 please find the answer to this problem.
Answer:
3.) it is a quadratic
4.) it is an absolute function
Step-by-step explanation:
3 has an exponent
4 has absolute values in it
solve the system of equations by adding. checking your answer
2x+2y=2
3x-2y=43
the solution of the system is ( , )
Answer:
Step-by-step explanation:
This is very easy, because the coefficients of the y terms are 2 and -2. You can easily eliminate the y terms by adding the equations together:
2x + 2y = 2
3x - 2y = 43
-----------------
5x + 0y = 45, so x = 9
Use the value of x to solve for y:
2(9) + 2y = 2
y = -8
(x,y) = (2, -8)
PLS HELP!! WILL AWARD BRAINLIEST
On Sunday John spent 20% more time playing his favorite game than he spent
watching a movie, and he spent 28% less time reading a book than he spent
watching the movie. the time he spent reading the book is what percent of the
time he spent playing his favorite game?
Answer:
I think its 5.6%
Step-by-step explanation:
20% of 28% is 5.6%
if its multiple choice that would help but that's my best guess
M=-1 and it has a y-intercept of (0,-6). Write the equation that represents the situation.
Answer:
y=-1x-6
Step-by-step explanation:
do you need a explanation aswell?
9. A team of 8 basketball players need to choose a co-captain and captain.
A) combination
B) permutation
C) neither
Answer:
b
Step-by-step explanation:
Since the order is important, as there are different roles, a permutation is used, hence option B is correct.
When to use the combination and the permutation formula?If the order in which the options are taken is important, permutation is used.Otherwise, if the order in which the options are taken is not important, combination is used.In this problem:
If the order is LeBron and Giannis, LeBron is the co-captain and Giannis is the captain.If it is Giannis and LeBron, Giannis is the co-captain and LeBron is the captain.Hence the order is important, which means that it is a permutation.
More can be learned about the combination and permutation at https://brainly.com/question/25821700
help0000000000000000000
Answer:
The answer is going to be C.
Step-by-step explanation:
To help you in the future with any question like this one, you can always use Desmos Calculator.
y = r + 1
4y = 40 + 4
Answer:
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
x
=
20
−
2
y
Answer:
r = 10
y = 11
Step-by-step explanation:
4y = 40 + 4
4(r + 1) = 40 + 4
4(r) + 4(1) = 40 + 4
4r + 4 = 40 + 4
4r + 4 = 44
4r + 4 - 4 = 44 - 4
4r = 40
4r ÷ 4 = 40 ÷ 4
r = 10
-----------------------------------------
y = r + 1
y = (10) + 1
y = 11
-----------------------------------------
4y = 40 + 4
4(11) = 40 + 4
4(11) = 44
44 = 44
Is this triangle a AA SAS or SSS or Not Similar
PLS HELP PLS PLS
Answer:
AA (similar)
Step-by-step explanation:
<Q = <U
64 + 37 = 101°
180 - 101 = 79°
<S is a reflexive angle, congruent on both sides.
AA similarity
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line
with a slope of 5.7. See the figure below.
With 46 gallons of fuel in its tank, the airplane has a weight of 2162.2 pounds. What is the weight of the plane with 18 gallons of fuel in its tank?
Answer:
total plane weight with 82gallons fuel is 2424.80 lbs.
One number is 4 more than another, and their sum is 60. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 60 and -x + y = 4
x + y = 60 and x + y = 4
x + y = 60 and x - y = 4
Unlimited Attempts Remain
Answer:
Step-by-step explanation:
The system is
x+y=60 and x-y=4
If we get the difference between the two equations above we get
x+y-x+y=60-4
2y=56
y=28
Legends will get a heart ❤️ if they get this right
Answer:
3a. Angles q,r, and u are 105 degrees.
b. Angles p,s, and t are 75 degrees.
Step-by-step explanation:
Vertical angles, or angles that are across from each other, are congruent, meaning they are the same angle. When you shrink it, its angles are still the same.
Hope this helps:)
Big ideas chapter 9 answers
do you have a picture with it??
P
Q
R
S
which one ???????
HELP HELP HELP HELP
Pythagorean Theorem -
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {14}^{2} + {13}^{2} = {x}^{2} [/tex]
Simplify the expression!
[tex]365 = {x}^{2} [/tex]
Find x alone.
[tex]x = \sqrt{365} [/tex]
This alone is already simplified, so this is the answer.
Answer: Square Root Of 365
Answer:
19.10 is the answer to the question
PLEASE HELP PLEASEEEEE
Answer:
pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi
Please answer this! I need a quick answer with work.
Equations -
1. Input u!
[tex] \frac{2.6 - ( - 1)}{5.8} [/tex]
Solve the problem!
[tex] \frac{3.6}{5.8} [/tex]
[tex] \frac{3.6}{5.8} =0.62[/tex]
Answer:
0.44827586
Step-by-step explanation:
(2.6)(−1)/-5.8=-2.6/-5.8 so you get 0.44827586
(6n – 7) + (8n + 2) = 23
Answer:100
Step-by-step explanation:
2!2
Answer:
n = 2
Step-by-step explanation:
(6n - 7) + (8n + 2) = 23 (Combine like terms)
14n - 5 = 23 (Add 5 from both sides)
14n = 28 (divided 14 from both sides)
n = 2
What percentage of the pieces was he missing if he had 250 puzzle pieces and was missing 15 What percentage of the pieces was he missing
Answer:
Percentage of missed puzzle pieces = 6%
Step-by-step explanation:
Total number of puzzle pieces = 250
Missed puzzle pieces = 15
Percentage of the missing puzzle pieces = [tex]\frac{\text{Missed puzzle pieces}}{\text{Total number of puzzle pieces}}\times 100[/tex]
= [tex]\frac{15}{250}\times 100[/tex]
= 15 × 0.4
= 6%
Therefore, percentage of missed puzzle pieces = 6%
Question 42 points)
Tell whether the triangles
are similar.
Yes or No
Answer:
yes
Step-by-step explanation:
Answer:
yes. 81+51+48 = 180
I hope this helps
Send me the answers
Answer:
sending you my book i answered it
Step-by-step explanation:
Answer:
DEEZNUTZ
Step-by-step explanation:
URMOM
What is the equation of the line that passes through the point (1,3)(1,3) and has a slope of 66?
Answer:
The equation of the line that passes through the point (1,3) with a slope of 66
is
y=66x-63
Overview
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Question Progress
WA
Oilsee
Homework Progress -
26 / 28 Marks
D
S
Here is a list of numbers:
20 29 30 33 37 40
41
46
50
Use four of the numbers to make a sequence and describe the rule
for continuing your sequence.
I
equences - Term-to-Term Rule
Overview
0
Answer:
20 292 02 202 202
Step-by-step explanation:
If f(x)=3x+2, what is f(3)-7
Answer:
[tex] \orange{ \bold{f(3) - 7 = 4}}[/tex]
Step-by-step explanation:
[tex]f(x) = 3x + 2 \\ \\ plug \: x = 3 \\ \\ f(3) = 3(3) + 2 = 9 + 2 \\ \\ f(3) = 11 \\ \\ f(3) - 7 = 11 - 7\\ \\ \purple{ \bold{f(3) - 7 = 4}}\\ \\ [/tex]