Answer:
5 weeks
Step-by-step explanation:
To find the answer to this question we have to write an equation for both situation and put them equal to each other.
Let's write an equation for Joe:
12x + 100
Now, for Jessica
6x + 130
Next, put them equal to each other:
12x + 100 = 6x + 130
Solve:
12x + 100 = 6x + 130
6x + 100 = 130
6x = 30
x = 5
Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.
Check:
12(5) + 100 = 6(5) + 130
60 + 100 = 30 + 130
160 = 160
I hope this helps!!
- Kay :)
What is the value of g(f(x)) ? Ο Α. . -6 OB. C. 19 D. 31
Answer:
D. 31
Step-by-step explanation:
Given:
[tex] f(x) = 4x^3 - 10 [/tex]
[tex] g(x) = \frac{3x - 4}{2} [/tex]
Required:
The value of g(f(2))
First, find f(2).
Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].
[tex] f(2) = 4(2)^3 - 10 [/tex]
[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]
[tex] f(2) = 22 [/tex]
Next, find g(f(2)).
[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]
[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = 31 [/tex]
Find the value of x in the parallelogram below.
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129
Based on the graph below, what is f(2)?
0
1
2
-2
Answer:
the answer is 2 or c good luck
Answer:
C. 2
Step-by-step explanation:
Point slope form.
Y-4=
What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?
Answer:
14.6m
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)
r = cube root ( 6466 * 3/2 * 1/ π)
r = 14.56
in the nearest tenth of a meter = 14.6 m
Sam bought an $85.00 jacket for 40% off of the regular price. He also has to pay 5% for tax. How much did he pay for the jacket after the discount and tax?
HELP ME PLEASE I WILL PUT U AS BRILLIANT
Answer:
2 and 1/4
Step-by-step explanation:
3.5 - 1.25 = 2.25
2.25 as a mixed number is 2 and 1/4
If I have 23 dirty walnuts and divide the by 2 how many dirty walnuts would I have by chance? OMG PLEASE HELP QUESTION ALREADY LATE!!!
Answer:
23/2 equals 11.5
Step-by-step explanation:
Answer:
23 divided by two is 11.5
Step-by-step explanation:
if the fourth term of an ap is 1 and sum of it first right term is 18 find the tenth term
please help asap will give brainliest
Answer:
of course three units ..
WILL GIVE BRAINLIEST ANSWER!
You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?
solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
Alberto received an inheritance of $10,000 that he decided to put into a savings account and collect the interest. He has a choice of investing in one of two plans. The Gold savings account will allow him to invest his inheritance at 3% simple interest for 4 years. The Student savings account will allow him to invest his inheritance at 2.75% simple interest for 4 years. As part of a limited time promotion, the bank will give Alberto $1000 to be added to his principal if he opens a Student savings account. which plan will earn Alberto the most money after 4 years.
Answer:
tthw student saavings account
Step-by-step explanation:
A family's monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?
Answer: The total will drop by 20%
What type of number is 18.62
Answer:
terminating decimal
Step-by-step explanation:
doesn't repeat
What is the value of the expression 8(-6.3)
Answer:
-50.4
Step-by-step explanation:
105 is divisible by what 2 5 10
write down the relation between mass and inerti
Answer:
The mass of an object is directly proportional to its inertia.
[tex]m\alpha I[/tex]
Where
m = mass
I = inertia
Step-by-step explanation:
We can first of all start by defining the two key terms present here - mass and inertia.
The mass of an object is the quantity of matter contained in the object.
The inertia of an object is the resistance of an object which is in a state of rest to motion
The mass of an object is directly proportional to its inertia.
The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of minutes with a standard deviation of minutes. The health center makes appointments each day and is scheduled to be open for hours. What is the probability that the total time spent for students who have appointments for tomorrow will exceed hours? (Hint: hours minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Some data in the question are missing. The complete question is :
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Solution :
Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]
∴ E([tex]$X_i$[/tex]) = 5.6
V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]
n = 100
The required probability
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]
= 100 x 5.6
= 560
[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]
Standard deviation = 3.5 x 100
= 35
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]
[tex]$= \phi (1.14286)$[/tex]
= 0.8735
= 0.874 (round to 3 decimal places)
To determine the number of trout in a lake, a conservationist catches 94 trout, tags them and throws them back into the lake. Later, 30 trout are caught; 10 of them are tagged. How many trout would the conservationist expect to be in the lake?
Answer:
She would expect to find about 282 fish in the lake.
Step-by-step explanation:
complete the last four terms by dragging the missing value to correct locations in the expression
Answer:
Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]
Step-by-step explanation:
please help me due today I will give brainiest
Solve the question above please <3
A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?
Answer:
it's .5 or 1/2
Step-by-step explanation:
3/8 ÷ 3/4 = 1/2
10 times as much as 72.67
Answer:
726.7 hope this helps
Subtract the following polynomials, then place the answer in the proper location on the grid.
2x^2+5x-10
3x2 - x + 9
Answer:
[tex]-x^2+6x-19[/tex]
Step-by-step explanation:
Step one:
given
[tex]2x^2+5x-10\\\\3x^2 - x + 9[/tex]
we want to perform a subtraction operation
[tex]2x^2+5x-10-(3x^2 - x + 9)\\\\ 2x^2+5x-10-3x^2 + x - 9 \\\\[/tex]
collect like terms
[tex]2x^2-3x^2+5x+x-10-9\\\\-x^2+6x-19[/tex]
Plz help me with this?!?! I will mark you brainliest!!!
Answer: 36
Step-by-step explanation:
Kevin ran 5 miles in 42 minutes. How many miles per hour did Kevin run? Round to the nearest tenth.
he ran a mile in 8.4 minutes. Step-by-step explanation:
X is normally distributed random variable with mean 63 and standard deviation 6, the probability that X lies between 45 and 81 is
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]
For X=45, z-score is -3
For X=81 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
This is past due I need help will give brainlist
Answer:
A
Step-by-step explanation: