Answer:
6
Step-by-step explanation:
Greatest common factor (GCF) of 42 and 60 is 6.
As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.
List out all of the prime factors for each number:
Prime Factors for 42: 2, 3, and 7
Prime Factors for 60: 2, 2, 3, and 5
Now that we have the list of prime factors, we need to find any which are common for each number.
Looking at the occurences of common prime factors in 42 and 60 we can see that the commonly occuring prime factors are 2 and 3.
To calculate the prime factor, we multiply these numbers together:
GCF = 2 x 3 = 6
(hope this helps can i plz have brainlist :D hehe)
It takes Josephine 60 minutes to walk 7 1/2 blocks.At This Rate How Many Blocks Can He Walk In 4 Hours.
Answer:
30 blocks
Step-by-step explanation:
60 minutes = 1 hour
For one hour, she will walk 7.5 blocks.
The rate is 7.5blocks per hour.
Multiply this by 4 hours, and you will get 30 blocks.
(7.5)4 = 30
5. Divide using Synthetic Division
(2x3 + 5x2 – 3) = (x + 2)
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?
Answer:
Keith can plant 10 bushes in 2 hours
Step-by-step explanation:
40 divided by 8 is 5 and 5 times 2 is 10.
What is 0.15 divided by 2.5? What is the answer?
Answer:
0.06 is the answer
Step-by-step explanation:
0.15÷2.5=0.06
Answer: 0.06
Ignore this text it is mandatory that I have at least 20 characters.
$250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened
by a customer.
Answer:
i think you want to know what is the total it is 87.5
Step-by-step explanation:
Answer:
You pay $168.75
You save $81.25
Step-by-step explanation:
First you find the 25% off
25% of 250 is 187.50
That is 62.50 saved
Now subtract 187.50 by 10%
10% of 187.50 is 168.75
That is 18.75 saved
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answer:
how much money does it cost for one person??
What is the greatest common factor of 3 and 27?
Answer:
9
Step-by-step explanation:
3*9=27
The greatest common factor of 3 and 27 is 3.
Given numbers are 3 and 27.
To find the greatest common factor of 3 and 27, find the factor each number individually.
So, the factor of 3 are:
3 = 1, 3
and, the factor of 27 are:
27= 1, 3, 9, 27
Now, the greatest common factor will be 3.
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30 Points! A window in the shape of a rectangle is pictured. Match the expression with the questions that it answers.
Answer:
Which expression represents the area?
Which expression represents the perimeter? 2x squared plus 8x - 2
Step-by-step explanation:
A= LxW
P= L+W+L+W
Which of the following is equal to 4.8 ÷ 2?
Let's divide:
4.8 ÷ 2 = 2.4
Another option:
Shift the decimal point one space for both:
4.8 → 48
2.0 → 20
Now we can divide easily:
48 ÷ 20 = 2.4
It will give the same result.
Answer. 2.4Jason wants to eam money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns?
Answer:
$90 profit
Step-by-step explanation:
Determine the value of the missing sides for the following triangle
Answer:
There is no picture or diagram so add them and i can edit this answer, look at paperclip sign first take picture screen shot then add pic on paperclip edit button here.
Step-by-step explanation:
For missing sides of a triangle we do the following.
Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.
Are the measure of the lengths congruent with a larger or smaller triangle shown.
If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5
Other ways to find length is through Pythagoras we use the squares a^2 + b^2 = c^2 for missing slant
and c^2 - b^2 = a^2 for any missing side
so a represents any missing side for the second equation and c represents the missing side if it is a slant only.
In which table is y a linear function of x
Answer:
We conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
Step-by-step explanation:
Here are some of the rules using which we can easily figure out the true nature of a function.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
We have to find a table in which y is a linear function of x.
Checking the table C
x -1 0 1 2 3
y 6 8 10 12 14
Here:
There is a constant change in x.
i.e. 0 - (-1) = 1; 1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1
Also there is a constant change in y.
i.e. 8 - 6 = 2; 10 - 8 = 2; 12 - 10 = 2; 14 - 12 = 2
Thus, we conclude that the table C represents a constant change in x and y.
Hence, table C represents that y is a linear function of x.
The experimental probability and theoretical probability of an event are not
necessarily the same.
A) true B) false
60% of the 7,000 runners in a marathon were women. How many women ran the marathon?
Answer:
4200
Step-by-step explanation:
7000 x 0.60 = 4200
WORTH 20 POINTS!! HELP PLEASEE
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part B: What domain makes sense for the function in this context?
1. all positive numbers
2. 0 ≤ t ≤ 100
3. 0 ≤ t ≤ 5
4. all real numbers
Answer:
Step-by-step explanation:
g(t) = -16t² + vt + h
"rocket is launched off the ground at an initial velocity of 80 feet per second"
v = 80
h = 0
g(t) = -16t² + 80t
:::::
The roots of -16t² + 80t are t=0 and t=5. In other words, the rocket hits the ground after 5 seconds.
Domain: 0 ≤ t ≥ 5
Picture is shown down below ( Math )
Answer:
a) quad 3
b) y-axis
c) quad 4
d) quad 2
e) quad 1
f) x-axis
PLEASE HELPP!!
|y.
2
X X
-2 1
45
2
3
What is the slope of line b?
01
2
2.
-2
0 -1
2
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-(-2)}{4-0}[/tex] = [tex]\frac{0+2}{4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Suppose that 11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote the number among these that are nonconforming and can be reworked. (Round your answers to four decimal places.) (a) What is the (approximate) probability that X is at most 30
Answer:
0.9726 = 97.26% approximate probability that X is at most 30
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
11% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).
This means that [tex]p = 0.11[/tex]
Random sample of 200 shafts
This means that [tex]n = 200[/tex]
Mean and Standard deviation:
[tex]\mu = E(x) = np = 200*0.11 = 22[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.11*0.89} = 4.42[/tex]
(a) What is the (approximate) probability that X is at most 30
Using continuity correction, this is [tex]P(X \leq 30 + 0.5) = P(X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 22}{4.42}[/tex]
[tex]Z = 1.92[/tex]
[tex]Z = 1.92[/tex] has a pvalue of 0.9726.
0.9726 = 97.26% approximate probability that X is at most 30
A gallon of gas last summer was $2.28. This week, a gallon costs $3.48.
What is the percent change?
Answer:
52.63%
Step-by-step explanation:
The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)
Select the correct answer.
Which of the following tables corresponds to the equation below?
y =
O
A.
I
0
1
3
4
5
y
1
4
16
64
256 1,024
B.
0
1
2
3
4
5
y
0
1
4
16
64
4
0
1
2
3
4
5
4
12 /
1
4
16
64
256
D.
0
1
3
4
y
1
4
8
12
16
+
Answer:
A.
Step-by-step explanation:
The table that corresponds to the equation y = ¹/₄(4ˣ) is; Table C
How to simplify an equation?We are given the equation; y = ¹/₄(4ˣ)
At the input value of x = 0;
x = ¹/₄(4⁰)
x = ¹/₄
At the input value of x = 1;
y = ¹/₄(4¹)
y = 1
At the input value of x = 2;
y = ¹/₄(4²)
y = 4
At the input value of x = 3;
Thus;
y = ¹/₄(4³);
y = 16
At the input value of x = 4;
y = ¹/₄(4⁴)
y = 64
At the input value of x = 5;
y = ¹/₄(4⁵)
y = 256
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Pls someone help the multi choice answers are
A:3:10
B:2/5
C:3:7
D:1/2
it will be A
Step-by-step explanation:
because it adds up to 3:10
The formula m = 12,000 + 12,000rt/12t
gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years.
Explain why the formula is a rational function for a given value of r. What if you are given t?
Answer:
Keri's monthly loan payment if she gets a 5% loan for 4 years is $300
Step-by-step explanation:
Answer:
It is of the form p(x)/q(x) where p(x) and q(x) are polynomials, and g(x) does not equal 0
If r is given, it does not change the fact that there is still a variable in the denominator.
If t is given, there is no longer a variable in the denominator. The function is still rational, but the case of t being a constant, it is also linear.
Step-by-step explanation:
on edge 2021 its correct ^^
Does how many mean to add or subtract?
Answer:
Trick question
Step-by-step explanation:
It is divide
How many means divide lol
Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8
Answer:
11
Step-by-step explanation:
LK = 1/2RP
theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.
LK = 2x - 15 ; RP = 2x - 8
2x - 15 = 1/2(2x - 8)
2x - 15 = 2x - 8/2
2x - 15 = x - 4
Collect like terms and simplify
x = 11
Lin runs 5 miles in 40 minutes.
A. How many minutes per mile that?
B. How many miles per minute is that?
C. If Lin runs 9 miles at the same rate, how long does it take her?
answer you get brainliest and we can be buddies. (i am very loney)
Answer:
10017
Step-by-step explanation:
10^(4)-\sqrt(121)+3^(3)+4^(0)
So, 3^3= 27
4^0=1
10^4=10,000
-square 121= -11
So now you got:
10,000-11+27+1
=10017
Answer:
910
Step-by-step explanation:
1000-121 =879
879 + 27+ 906
906 + 4 = 910
A researcher wants to conduct a study to see if cell phones cause headaches. The researcher finds 30 individuals who use cell phones regularly and 30 that do not. Each of the 60 individuals are given a questionnaire designed to determine headache frequency. If the 60 individuals did not know they were participating in the study, which statement about the study is correct?
a. It is an experiment where cell phone habits is a blocking variable.
b. It is an observational study.
c. It is a matched-pairs design.
d. It is a randomized experiment.
e. It is a double-blind study.
Answer: E. It is a double-blind study.
Step-by-step explanation:
This is a double blind study since the 60 individuals who partake in the study did not know they were participating in the study,
A double-blind study is a kind of study whereby the participants involved do not know that they are participating in a study and also don't know who'll end up getting a certain treatment. The aim of this is so that bias can be prevented in the study.
A random telephone survey of adults (aged and older) was conducted by Opinion Research Corporation on behalf of CompleteTax, an online tax preparation and e-filing service. The survey results showed that of those surveyed planned to file their taxes electronically. a. Develop a descriptive statistic that can be used to estimate the percentage of all taxpayers who file electronically.
Answer:
The answer is "66.99%"
Step-by-step explanation:
Please find the correct question in the attached file.
[tex]\to \frac{684}{1021} \times 100\\\\\to \frac{684}{1021} \times 100\\\\ \to 0.6699 \times 100 \\\\ \to 66.99 \%[/tex]
A . it is increasing and linear
B. it is decreasing and linear
C. it is increasing and non linear
D. It is decreasing and non linear
Answer:
The answer is B.
Step-by-step explanation:
From the interval -6 < x < 0, the line is straight which is linear equation. The line shows its going down so it will be decreasing gradient.
