Answer:
[tex]Rate = 9(t+1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 9x^2 - 2[/tex]
[tex]Interval = [1,t][/tex]
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [1,t][/tex]
So, we have:
[tex]Rate = \frac{f(t) - f(1)}{t - 1}[/tex]
Solve for f(t) and f(1)
[tex]f(t) = 9t^2 - 2[/tex]
[tex]f(1) = 9*1^2 - 2[/tex]
[tex]f(1) = 9 - 2[/tex]
[tex]f(1) = 7[/tex]
So, we have:
[tex]Rate = \frac{9t^2 - 2 - 7}{t - 1}[/tex]
[tex]Rate = \frac{9t^2 - 9}{t - 1}[/tex]
Factorize:
[tex]Rate = \frac{9(t^2 - 1)}{t - 1}[/tex]
Apply difference of two squares
[tex]Rate = \frac{9(t- 1)(t+1)}{t - 1}[/tex]
[tex]Rate = 9(t+1)[/tex]
hi can you guys help me with this :)
Answer:
1/2 + 1/4 would be 3/4.
1/2 + 1/6 would be 2/3.
Step-by-step explanation:
Answer:
No 2 :8
Sorry if wrong........
find the prime facrorization for 100 A.2² × 5² B.2×50 C.4×25 D.2³ × 5² E. 2² × 5³
Answer:
A
Step-by-step explanation:
100-25*4=5 squared*2 sqaured
so A
Answer:
prime factorization of 100=a.2²+5²
What is the answer??????????????????????
Answer:
I think so Yes
Step-by-step explanation:
help please (will mark brainliest or however you spell it)
Which triangle most likely has the angles 56°, 48°, and 76°?
A. triangle A
B. triangle B
C. triangle C
D. triangle D
Answer:
c
Step-by-step explanation:
Divide 4 1/2 by the following unit fractions.
1/8
Answer:
The answer is 36
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
92÷18
Applying the fractions formula for division,
=9×82×1
=722
Simplifying 72/2, the answer is
=36
The formula V equals S to the third power gives the volume V of a cube with the side length S the volume of a cube that has a side length of 3 inches is__?__ inches cubed
Answer:
27
Step-by-step explanation:
The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.
r+4 at r=13 help me
The value of the expression is 17.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
r + 4
When r = 13
r + 4
= 13 + 4
= 17
Thus,
The value is 17.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.
Answer:
Diana's score is better.
Step-by-step explanation:
In Diana case :
Score = 92
Mean score , μ = 71
Standard deviation σ = 15
So,
P( x ≥ 92 ) = 1 - P( x ≤ 92 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )
= 1 - P( z ≤ 1.4 )
= 1 - 0.9192
= 0.0808 = 8.08 %
⇒P( x ≥ 92 ) = 8.08%
∴ we get
Diana score is > 91.92% other students in the class.
In Micheal case :
Score = 688
Mean score , μ = 493
Standard deviation σ = 150
So,
P( x ≥ 688 ) = 1 - P( x ≤ 688 )
= 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )
= 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )
= 1 - P( z ≤ 1.3 )
= 1 - 0.9032
= 0.0968 = 9.68 %
⇒P( x ≥ 688 ) = 9.68%
∴ we get
Micheal score is > 90.32% other students in the class.
From both scores , we can conclude that
Diana's score is better.
Which fraction is equivalent to (7-3)*3/10^4-10^2
A. 16/25
B. 1/25
C. 8/1125
D. 16/2475
Answer:
C.8/1125 is the answer......
(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.
Answer:
210
Step-by-step explanation:
35x3x2=210
life is slavery
all your life you work
first its preschool
then its school
then college
then you go off to work
then you retire and rot away in your kids' house or in a retirement home
then you die
one day you are a 13 year old rocking out to nirvana then you die
i don't know how to feel about this but this is deep
bro- are you ok? like really- are you good?
what is -6(a + 8) simplified?
Answer:
-6a-48
Step-by-step explanation:
Answer:
-6a - 48
Step-by-step explanation:
distribute
-6 x a = -6a
-6 x 8 = -48
put the answer together
-6a - 48
I SUCK AT THIS. PLEASE HELP! Factor x^2-11x+24x.
Answer: I think it is (x+3) (x+8)
[tex]x^{2} +13[/tex]
Step-by-step explanation: can u gimme brain plz!
Miranda needs to add 68+19 mentally but is struggling.If she knows that 68+20=88 how can she use this to help.Use a similar approach to describe how Miranda could add 37+29 mentally
A random number generator is set to produce integers from 1 to 10.
About how often would you expect to get an even number in 300 trials?
You would expect to get an even number about
times.
Answer:
you would expect to get 100-200 even numbers. but if u want an exact answer it would be 150 times.
Step-by-step explanation:
there are 5 even and odd numbers. so a 1/2 chance. and 1/2 of 300 is 150
Find the equation of the line with slope –5/2
and y-intercept (0,0).
Answer:
y= -5/2X
.....................
Cuanto es 1+2:
pOrFa NoSe
Answer:
3
Step-by-step explanation:
es hora de comer
Write the equation in standard form.
y = 7x + 2/3
Answer:
It is probably 21x-3y= -2
Answer:
Here is the ANSWEr :p
Step-by-step explanation:
Sorry it dark my time is 7:37pm Wed Feb 24 2021!!!!
The difference of two numbers is 2. Their sum is 12. What are the numbers?
Answer:
the numbers would be 5 and 7.
Step-by-step explanation:
"the difference of two numbers is 2."
7 - 5 = 2"their sum is 12."
7 + 5 = 12since the difference of 7 and 5 is 2 and the sum of 7 and 5 is 12, 5 and 7 are the numbers that fulfill the statement.
i hope this helps! have a lovely rest of your day <3
Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answer.
Answer:
Because [tex]x = y[/tex], then the solution is unique.
Step-by-step explanation:
Given
[tex]Ax = b[/tex]
[tex]Ax=0[/tex]
See comment for complete question
Let there be two solutions x and y.
Such that:
[tex]Ax = b[/tex] and [tex]Ay = b[/tex]
Since:
[tex]Ax = Ay = b[/tex]
Then:
[tex]Ax - Ay = b - b[/tex]
[tex]Ax - Ay = 0[/tex]
This implies that:
[tex]Ax - Ay = A(x-y) = 0[/tex]
The only trivial solution is:
[tex]Ax - Ay = A(x-y) = 0[/tex]
Such that:
[tex]x -y = 0[/tex]
Then
[tex]x = y[/tex]
Because [tex]x = y[/tex], then the solution is unique.
"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.
Answer:
y=3x-24
Step-by-step explanation:
Select the equation that contains the point (4,7) and in which the slope equals 1
Answer:
y-7=x-4
Step-by-step explanation:
If you change the equation to y=mx+b yout would get Y=x+3 plug in the point (4,7) and you would get 7=4+3
7=7 so that is correct.
F(t)=212-6t
what is the value of t when F (t) = 140?
Answer: -628
Step-by-step explanation:
F(140) = 212 - 6(140)
F(140) = 212 - 840
F(140) = -628
its something about cookies
Answer:
huh????
Step-by-step explanation:
Answer:
cool. i like cookies.
Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer
Answer:
1/5 of a box of candy
Step-by-step explanation:
Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).
Which rational number equals 0 point 2 with bar over 2
Find the value of x.
35
21
Х
X=
= [?]
Help
Step-by-step explanation:
Using Pythagoras theorem
x=✓(35²-21²)=✓784=28 units
PLEASE HELP I'LL GIVE BRAINLIEST!!!!!!!!! According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.
3.8216 × 107 0.38216 × 107 3.8216 × 106 38.216 × 107 0.66 × 101
66.4 × 101 6.64 × 101
The population of California is __________ more than the population of Wyoming
Alternatively, the population of California is _________ times the population of Wyoming.
Answer:
The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.
Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.
Step-by-step explanation:
The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.
Not that we've done that, let's start with the first part of the problem.
"The population of California is __________ more than the population of Wyoming."
This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.
[tex]38,800,000 - 584,000 = 38,216,000.[/tex]
Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:
[tex]3.8216 * 10^{7} .[/tex]
Now for the second part.
"Alternatively, the population of California is _________ times the population of Wyoming."
This is a problem of division. The question is asking us to divide California's population by Wyoming's population.
[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]
We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:
[tex]6.64 * 10^{1}.[/tex]
So, the answer to the question is:
1. [tex]3.8216 * 10^{7}.[/tex]
2. [tex]6.64 * 10^{1}.[/tex]
Hope this helped you, and I hope you get a perfect score!! :)
Answer:
The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.
Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.
Step-by-step explanation:
I'm pretty sure this is what the other person was trying to say it was just very confusing.
Anyway I got this right on my mastery test.
so thx for the points
Simplify: 10 divided by 1/4
1) 40
2) 1/40
3) 2 and 1/2
4) 20
Answer:
1
Step-by-step explanation:
10*4=40
so 1