Answer:
30
Step-by-step explanation:
First: f(3)=2(3) is 3F=6, divide by 3 on each side and F=2.
Second g(3)=5(3) is 3G=15, divide by 3 on each side and G=5.
Finally, f(g)(x) is (2)(5)(3) = 10x3 = 30.
The value of the function f ( g ( x ) ) when x = 3 is 30
What is Composition of functions?
Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that
h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be f (x ) = 2x
Let the second function g ( x ) = 5x
Now ,
The composite function is of the form f ( g ( x ) ) ,
So assign the value of x in f ( x ) as x = g ( x )
And , g ( x ) = 5x
So , the composite function will be
f ( 5x ) = 2 ( 5x )
= 10x
Now , when x = 3
f ( g ( 3 ) ) = 10 x 3
= 30
Therefore , the value of f ( g ( 3 ) ) is 30
Hence , the value of the function f ( g ( x ) ) when x = 3 is 30
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Write a word expression for 7 + 4a.
Answer:
The answer is Seven plus Four A.
pls helppppppppppppppp
Answer:
4 seems to be it
Step-by-step explanation:
Find the area of the curve y= f(x) = x between x = 5 and x = 10
Answer:
the area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
Step-by-step explanation:
Finding the area of the curve y = f(x) = x between x = 5 and x = 10Using the Area formula
[tex]A=\int _a^b\:f\left(x\right)dx[/tex]
As the area of curve lies between x = 5 and x = 10
so
a = 5, b = 10so the integral expression becomes
[tex]A=\int _5^{10}xdx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]A=\left[\frac{x^{1+1}}{1+1}\right]^{10}_5[/tex]
[tex]=\left[\frac{x^2}{2}\right]^{10}_5[/tex]
[tex]=\frac{1}{2}\left[10^2-5^2\right][/tex]
[tex]=\frac{1}{2}\cdot \:75[/tex]
[tex]=\frac{75}{2}[/tex]
Therefore, area of the curve y= f(x) = x between x = 5 and x = 10
[tex]A=\frac{75}{2}[/tex]
which is the correct answer?
Answer:
i think B
Step-by-step explanation:
calculate the slope of the line
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 6)
Point (8, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-6}{8-2}[/tex]Subtract: [tex]m=\frac{-2}{6}[/tex]Divide: [tex]m=\frac{-1}{3}[/tex]A porch that is 24.5 feet long needs to be lengthened by 12.2 feet. How long is the new length of the porch?
ILL GIVE BRAINLEST
Answer:
its the first one brsinlest plz
Step-by-step explanation:
Malloy had some money to give to his five
children. He first took $5 for himself and then
evenly divided the rest among his children.
Each child received S3 How much money did
he start with?
Answer:
$20
Step-by-step explanation:
he gave 5*3=15 dollars to his children
he took 5
add together to get 20
Answer:
$20
Step-by-step explanation:
$3 x 5 = $15
$15 + $5 = $20
Which expression is equivalent to 6(2x + 4)?
A) 12 + 24
B) 12x + 4
C 12x + 24
D) 8x + 10
31x m=217 what does the m mean i cant seem to figure that out.
Answer:
7?
Step-by-step explanation:
31xm=217
m=217/31
m=7
We know that 65% of all Americans prefer chocolate over vanilla ice cream. Suppose that 1000 people were randomly selected. What is the standard error of the sample proportion
its not 65% americans like all
The standard error of the sample proportion is 0.0002275
What is the standard error of the sample proportion?The standard error of a proportion p in a sample of size n is given by:
[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]
Now it is given that,
Number of people selected is 1000.
So, sample size, n 1000
Americans prefer chocolate = 65%
Thus, proportion, p = 0.65
So, standard error of a proportion is given as,
[tex]S= \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]S= \sqrt{\frac{0.65(1-0.65)}{1000}}[/tex]
[tex]S= \sqrt{\frac{0.65(0.35)}{1000}}[/tex]
[tex]S= \sqrt{\frac{0.2275}{1000}}[/tex]
[tex]S= 0.0002275[/tex]
this is the required standard error of the sample proportion.
Thus, the standard error of the sample proportion is 0.0002275.
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Supervisor: "I see that 1000 calls were sent to your extension this month. 15% of those calls were not answered, which means that you did not answer __________ calls this month."
Step-by-step explanation:
850 calls
1000:100=10
1%=10
10×85=850
Discount is the reduction in value. The total number of calls not answered this is 150 calls
Discount and percentagesGiven the following
Total number of calls = 1000 calls
If 15% of those calls were not answered, the total calls that were not answered is given as:
Total call not answered . = 0.15 * 1000
Total call not answered = 150 calls
Hence the total number of calls not answered this is 150 calls
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If 2x=46, find the value of 7-6x
Answer:
-131
Step-by-step explanation:
By dividing by 2, we find that x = 23
Plugging this into the equation we can find
7-6x=7-6(23)=-131
Answer:
-131
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2x = 46
Step 2: Solve for x
Divide 2 on both sides: x = 23Step 3: Define
7 - 6x
Step 4: Evaluate
Substitute: 7 - 6(23)Multiply: 7 - 138Subtract: -13198.643 ÷ 0.04
Round your answer to the nearest hundredth.
Answer:
7466.07
Step-by-step explanation:
Find the number in the hundredth place and look one place to the right for the rounding digit . Round up if this number is greater than or equal to and round down if it is less than.
btw you should try out
Chef Talbot is baking 6 blueberry pies. If he uses 3/4 of blueberries in each pie, how many pints of blueberries will he need??
Answer:
4 2/4 pints
Step-by-step explanation:
Well if you multiply 6 by 3/4 it equals 18/4 and if you turn that into a mixed number it will give you 4 2/4.
So in conclusion, Chef Talbot will use 4 and a half pints of blueberries.
Find the line's slope and a point on the line. y-2=1/3(x+4)
slope:
point on the line:
a(7x + 3) = b + 14x?
Answer:
Step-by-step explanation:
So first add 7 +3 adn get 10, then add 14, and then you will get 24
24 is your answer.
Which expression is equivalent to 25?
2 + 2 + 2 + 2 + 2
5+5
0 2.2.2.2.2
5.5
DONE
Answer:
It's C because its 2 to the power of 5
Step-by-step explanation:
2x2x2x2x2
What is the value of x? enter your answer in the box.
Answer:
X = 20
Step-by-step explanation:
3x + 50 = 6x -10
3x - 6x = -10 - 50
-3x = -60
x = -60/-3
x = 20
Answer:
x = 20
Step-by-step explanation:
Vertically opposite angles are congruent.
6x - 10 = 3x + 50
6x = 3x + 50 + 10
6x = 3x + 60
6x - 3x = 60
3x = 60
x = 60/3
x = 20
Calculate the mean, median, mode, and midrange of this quiz distribution and explain whether the distribution is skewed to the left or to the right.
a.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the left.
b.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the left.
c.
Mean = 8.2, median = 9, mode = 9, midrange = 7; skewed to the right.
d.
Mean = 9, median = 8.2, mode = 7, midrange = 9; skewed to the right.
Answer:
B
Step-by-step explanation:
Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.8. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. What is the probability that the students will have their homework checked and take a pop quiz on a randomly chosen day?
0.48
0.54
0.72
0.80
Answer:
A) 0.48
Step-by-step explanation:
The probability that Mrs. Barnes does not check homework if the students take a pop quiz will be 0.77.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.
They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be =
P = 0.42 x 0.6 + 0.58 x 0.9
P = 0.252 + 0.522
P = 0.774 ≈ 0.77
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Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
2/15.99 = 0.34 euros is the right answer.
PLEASE HELP DUE IN 5 min
Answer:
The answer is 21
Step-by-step explanation:
Male the shapes look similar by turning the smaller to be the same as the bigger one the compare side and then find x4x + 16 factor out gcf
Answer:
4(x+4)
Step-by-step explanation:
To factor out the gcf we need to find the greatest common factor. Then we multiply it be the other divided part.
if k = am+3mx what is the value of m in terms of
x
Please help
Answer:
k = am + 3mx
Group by taking common factor m
k = m(a + 3x)
Divide both sides by (a +3x)
k / (a+3x) = m
Then, m = k / (a+3x). This is the answer
Step-by-step explanation:
which of the following expression eqaul to -4x^2-36
Answer:
2hole square and six whole square (a+b) (a-b) finish...
Help me please on both of y’all can
Answer: 384 ft^2
Step-by-step explanation:
Like it said set up a proportional equation and solve for dimensions in feets.
The scale factor saids 0.75 in = 2 ft
And the dimensions are 6 in by 9 in
Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .
[tex]\frac{0.75}{6} = \frac{2}{x}[/tex] Solve by cross multiplying
0.75x = 12
x = 16
[tex]\frac{0.75}{9} = \frac{2}{x}[/tex] Cross multiply
0.75x = 18
x = 24
Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .
16 * 24 = 384 ft^2
A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes
will it take to fill this pool full?
Answer: 480 minutes or 8 hours
Step-by-step explanation:
24,000 ÷ 50 = 480.
It will take 480 minutes to fill the pool.
480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.
Hope this helps!
Answer:
480 Minutes or 8 Hours
Step-by-step explanation:
If you do 24,000 divided by 50 you get a result of 480
Substance X is found in the bloodstream of humans. A random sample of 75 males had a mean content of 28 ppm of Substance X in their blood. A random sample of 50 females had a mean content of 33 ppm of Substance X in their blood. The population standard deviations for males and females are known to be 14.1 ppm and 9.5 ppm, respectively. Use the 88.12% degree of confidence. An appropriate set of null and alternative hypotheses to test whether males and females have the same amount of Substance X in their blood is:
Answer:
H0: u1 - u2 = 0
H1: u1 - u2 ≠ 0
Step-by-step explanation:
This question requires us to state the hypothesis to be used for this test to know if males and females have the same amount of substance X. I have gone further to also calculate the test statistics too.
Null hypothesis:
H0: u1 - u2 = 0
Alternative hypothesis:
H1: u1 - u2 ≠ 0
X1 = 28, sd1 = 14.1, n1 = 75
X2 = 33, sd2 = 9.5, n2 = 50
We have a 2 tailed test
Alpha = 1-0.8812
= 0.1188
Critical value = 1.56
If z<-1.56 or z>1.56
Reject null hypothesis
Test statistic
= (28-33)/14.1²/75 + 9.5²/50
= -2.37
Therefore we reject the H0 because -2.37 is less than -1.56
Please help me on this question
Answer:
B
Step-by-step explanation: