Answer:
Option A.
Step-by-step explanation:
Expression given in the question is (f g)(5).
We know when two functions are f(x) and g(x) then (f g)(x) represents the multiplication of two functions.
(f g)(x) = f(x).[g(x)]
For x = 5
(f g)(5) = f(5).g(x)
It may be represented by the operation as
(f g)(5) = f(5) × g(x)
Therefore, option A. will be the answer.
The function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.
Equivalent expression to (f g)(5)The equivalent expression is determined as follows;
Two given functions such as (f(5) and g (5), can be represented by the multiplication of the two functions as shown below.
(f g) (5) = (f (5) x g (5)
(f g) (5) = (f (5) x g (5)
Thus, the function (f g)(5) can be expressed as f(5) × g(5) as an equivalent expression.
Learn more about equivalent expression here: https://brainly.com/question/14507158
#SPJ2
2x+y=4________(1) and x²+xy=-2_______(2) solve this simultaneously find X and Y
Answer:
[tex][2 - \sqrt{6}, 2\sqrt{6}] \\ [2 + \sqrt{6}, -2\sqrt{6}][/tex]
The work is shown above.
I am joyous to assist you anytime.
How to solve -17-3(2x+13)+24
Answer:
Step-by-step explanation:
-17 - 3(2x + 13) +24
-17 - 6x - 39 +24
-17 - 6x - 15
-6x - 32
A large multiplex movie house has many theaters. The largest theater has 44 rows. There are 20 seats in the first row. Each row has four seats more than the previous row. How many total seats are there in this theater?
The total number of seats in this movie theater is 4224. This is calculated using the sum of an arithmetic series formula.
Explanation:The question describes an arithmetic sequence where each row in the theater has four more seats than the previous row. The first row has 20 seats and the last row (44th row) has[tex]20 + 4*(44-1) = 172[/tex] seats. The total number of seats in this theater is therefore the sum of an arithmetic series formula, which is given by:
[tex]S = n/2 * (a + l)[/tex]
Where:
S is the sum of the sequence n is the number of terms a is the first term l is the last term
So for the number of seats, we have:
[tex]S = 44/2 * (20 + 172) = 22 * 192 = 4224.[/tex]
So, the total number of seats in the theater is 4224.
Learn more about Arithmetic Series here:https://brainly.com/question/16415816
#SPJ3
12080 gallons per month into liters per hour. please write out the correct conversions too to figure it out. thanks (:
Answer: 16.54 liters an hour
Step-by-step explanation:
A month into hours is 730.001 hours
12080 / 730.001 = 16.54 liters an hour.
A man caught a fish. It weighed 5/7kg + 5/7 its own weight what did it weigh
C. You filled your car tank with gas at the beginning of the trip. At the start of
the trip, your odometer read 25,678 miles. At the end of your trip, your
odometer read 26,109 miles. When you filled your tank at the end of the trip,
it took 15 gallons of gas. How many miles per gallon did the car get?
Answer:
164
Step-by-step explanation:
To find the car's miles per gallon, divide the total miles traveled by the total gallons of gas used. In this case, the car got approximately 28.73 miles per gallon.
Explanation:To find the miles per gallon the car got, you need to divide the total miles traveled by the total gallons of gas used. In this case, the car traveled 26,109 - 25,678 = 431 miles and used 15 gallons of gas. Using the formula MPG = Miles / Gallons, we get MPG = 431 / 15 = 28.73 miles per gallon. Therefore, the car got approximately 28.73 miles per gallon.
Learn more about miles per gallon here:https://brainly.com/question/926748
#SPJ2
Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
month, how many months will it take her to save enough money to buy the
scooter?
F. 29
6.31
H. 27
J. 33
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
[tex]35M = 1015[/tex]
where [tex]M[/tex] is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:
[tex]M = 29[/tex]
5 + 3 x 2 - 6 value: 10 what is the answer
Answer:
10
Step-by-step explanation:
5+3=8
8×2=16
16-6=10
What is 5.8×10^6 seconds in minutes?
3.48×10^4 minutes
9.67×108 minutes
9.67×104 minutes
3.48×108 minutes
PLZ HELP
i will give brainlyest
Answer:
9.67 x 10^4
Step-by-step explanation:
5.8 x 10^6 / 60
= 96700 minutes
= 9.67 x 10^4 minutes
Answer:
9.67 x 10^4
Step-by-step explanation:
Jackson wants to divide a pound box of
trail mix into small bags. Each of the bags
will hold pound of trail mix. How many
bags of trail mix can Jackson fill?
Jackson can fill 2 bags of trail mix, with each bag holding ½ pound of trail mix.
To calculate how many bags of trail mix Jackson can fill:
First, determine how many bags can be filled with 1 pound of trail mix:
1 pound bag ÷ ½ pound per bag = 2 bags
Next, divide the pound box into bags: 1 pound box ÷ ½ pound per bag = 2 bags
Therefore, Jackson can fill 2 bags of trail mix.
find the quotient of 144 and 12
Answer:
The answer is 12
Step-by-step explanation:
12 can go into 14 one time and 12 goes into 24 twice
Answer: 144 divided by 12 = 12
Step-by-step explanation:
What is 10 × 7 thousands in unit form
Answer:
ten thousands/thousands/hundreds/tens/ones
7 / 0 / 0 / 0 / 0
Explanation:
10 x 7,000 = 70, 000
Answer:
70000
Step-by-step explanation:
According to the Zero-Product Rule, multiply 7 by 1000 to get 7000, then attach that extra 0 to the answer, giving you 70000.
I am joyous to assist you anytime.
The left and right page numbers of an open book are two consecutive integers whose sum is 519. Find these page numbers.
Answer:
The answer is 259 and 260
Step-by-step explanation:
519/2= 259.5
259+260=519
Write a subtraction expression using integers, whose difference equals -5.
-3+ -2= -5
same sign add
-7 + 2 = -5
different signs subtract and keep the sign of the BIGGER number
The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represented by the shaded region?
Answer:
The fraction of the area of ACIG represented by the shaped region is 7/18
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
In the square ABED find the length side of the square
we know that
AB=BE=ED=AD
The area of s square is
[tex]A=b^{2}[/tex]
where b is the length side of the square
we have
[tex]A=49\ units^2[/tex]
substitute
[tex]49=b^{2}[/tex]
[tex]b=7\ units[/tex]
therefore
[tex]AB=BE=ED=AD=7\ units[/tex]
step 2
Find the area of ACIG
The area of rectangle ACIG is equal to
[tex]A=(AC)(AG)[/tex]
substitute the given values
[tex]A=(9)(10)=90\ units^2[/tex]
step 3
Find the area of shaded rectangle DEHG
The area of rectangle DEHG is equal to
[tex]A=(DE)(DG)[/tex]
we have [tex]DE=7\ units[/tex]
[tex]DG=AG-AD=9-7=2\ units[/tex]
substitute[tex]A=(7)(2)=14\ units^2[/tex]
step 4
Find the area of shaded rectangle BCFE
The area of rectangle BCFE is equal to
[tex]A=(EF)(CF)[/tex]
we have
[tex]EF=AC-AB=10-7=3\ units[/tex]
[tex]CF=BE=7\ units[/tex]
substitute
[tex]A=(3)(7)=21\ units^2[/tex]
step 5
sum the shaded areas
[tex]14+21=35\ units^2[/tex]
step 6
Divide the area of of the shaded region by the area of ACIG
[tex]\frac{35}{90}[/tex]
Simplify
Divide by 5 both numerator and denominator
[tex]\frac{7}{18}[/tex]
therefore
The fraction of the area of ACIG represented by the shaped region is 7/18
Answer:
7/18
Step-by-step explanation:
Use the properties of addition to simplify 2d + 2 - 7f+ 4d - f.
Answer:
6d - 8f + 2
Step-by-step explanation:
Sally was 200 apples she Eliot’s all of them up in 39 how many apple slices would she have now
Answer:
I don't know the question but I think you mean something that has to do with multiplication
Step-by-step explanation:
If you have 200 apples and you cut them up into 39 slices each there is now 39 slices for each of those. You now have 200 x 39 slices. So, to simplify it you have 7800 apple slices
Topic: Multiplication
a. 2.95 + 18.3 +11
b.9.2 - 0.375
c. 0.275 + 27.5
d. 90 - 0.903
Answer:
a. 32.25
b. 8.825
c. 27.775
d. 89.097
What is the solution to this equation
x +8=-3
Answer:
Step-by-step explanation:
x+8=3
X=-3-8= -11
X=-11
minus the 8 over and the answer will be -11
Answer:
{X:X=-11}
Step-by-step explanation:
It is done by making x the subject in that relation. Thus grouping of like terms.
the equation then becomes ;
x=-3-8
since moving a positive number to the = sign gives a negative number.
-3-8= -11
Therefore ,{x:x=-11} is the solution
Convert 65,000,000 to scientific notation.
Answer:
6.5 x 10^7. PLEASE MARK BRAINLIEST IF THIS HELPS.
Step-by-step explanation:
Well, its kind of hard to explain but i'll do my best.
65,000,000 has six zeros, and in order to get the answer, you have to put the answer into a decimal. So all you have to do is put the decimal right here. 65000000.< Hope that makes sense. Then all you have to do is move that decimal to the left however many times is needed to make the answer a decimal (in this case it is 7 times). Which makes the answer 6.5 but your not done yet, then, since you had to move to the left seven times in order to get your decimal, that means the second part of your answer is 10^7, (10 to the seventh power) since you moved seven times. Example: if you had had to move to the left 9 times to get your decimal, then it would have been 10^9, if that makes any sense. So that means your final product would be 6.5 x 10^7
Answer: 6.5 x [tex]10^{7}[/tex]
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
In this case, we can write 65,000,000 as 6.5000000 and notice that there is only one digit to the left of the decimal point.
Next, we count the number the number of places the decimal point would need to move in order to get back to our original number which is 65,000,000. In this case, we would need to move the decimal point 7 places to the right in order to get back to our original number. Since we would need to move the decimal point 7 places to the right to get back to our original number, this would mean that we have an exponent of 7.
Therefore, 65,000,000 can be written in scientific notation as 6.5 x [tex]10^{7}[/tex]
Order from least to greatest.
34%, 4/15, 0.3
Today we are ordering. To do this, I recommend you to convert to either decimal or fraction. Let's go with fractions, cause why not.
To order, make 0.3 into 3/10 because 3 is 3 of 10. We make 34% as 17/50 since 1% equals 1/100.
Reorder:
17/50, 4/15, 3/10. All fractions here can be x/750.
Reorder:
225/750, 200/750, 225/750.
As you see, there are two 225s. It's okay of however you write it as. We also have to remember that the question has to be using 34%, 4/15, and 0.3.
Answer: 4/15, 17/50, 0.3 is the answer.
Attached image please help
3.3 x 10^(5) + 44,000 = 144,003.3
The decimal number written in scientific notation is 1.44 x 10^(5).
Answer:
3.74 × [tex]10^{5}[/tex]
Step-by-step explanation:
Given
3.3 × [tex]10^{5}[/tex] + 44000
= 3.3 × [tex]10^{5}[/tex] + 4.4 × [tex]10^{4}[/tex] ← factor out [tex]10^{4}[/tex]
= [tex]10^{4}[/tex]( 3.3 × [tex]10^{1}[/tex] + 4.4)
= [tex]10^{4}[/tex](33 +4.4)
= [tex]10^{4}[/tex] × 37.4
= [tex]10^{4}[/tex] × 3.74 × [tex]10^{1}[/tex]
= 3.74 × [tex]10^{(4+1)}[/tex]
= 3.74 × [tex]10^{5}[/tex]
An aircraft flies against the wind for a distance of 300 miles in 2 hours then the aircraft makes the return trip with the wind in 1 hour what was the aircraft average speed for the entire trip
The aircraft's average speed for the entire trip, both against and with the wind, is 200 miles per hour. This is calculated by dividing the total distance travelled (600 miles) by the total time taken (3 hours).
Explanation:To solve this problem, we'll use the formula for average speed: Total Distance/Total Time. In this case, the aircraft flies 300 miles against the wind and 300 miles with the wind, so the total distance is 600 miles (300+300).
The total time is the time it takes to fly against the wind plus the time it takes to fly with the wind, which is 3 hours (2+1).
So, the average speed for the entire trip is 600 miles/3 hours = 200 miles per hour.
Learn more about Average speed here:https://brainly.com/question/17661499
#SPJ2
A rectangle has a length of 43 5/7 feet and a width of 42 1/10 feet. What is the perimeter (distance around the edges) of the rectangle in feet? Express your answer in mixed number form, and reduce if possible.
Answer:
1839.77
Step-by-step explanation:
Use multiplication and the Distributive Property to find the quotient. 96 divided by 6?
Answer:
6/96 is 16
Step-by-step explanation:
so the answer is 16
Answer:
16
Step-by-step explanation:
Given are two numbers 96 and 6.
We have to divide the first number by the second number using multiplication and distributive property.
Let us write
[tex]96 =60+36\\96 =6(10+6)\\[/tex]
Thus we find using multiplicative and distributive property
6 when multiplied by 16 gives 96
So quotient is 16.
State a true conclusion.
1) If B is between A and C then AB + BC = AC.
2) Q is between R and S.
Conclusion
Answer: QR + RS = QS
Step-by-step explanation:
Answer:
Step-by-step explanation:
CHECK YOUR UNDERSTANDING
Kyle invests $20,000 in a partnership that has five other partners.
The total investment of the partners is $160,000. What percent of the
business is owned by the five other partners?
The percentage of the business that is owned by the five other partners is 87.5%.
Amount invested by Kyle = $20000
Total investment of the partners = $160000
The percentage of the business that is owned by the five other partners will be:
= ($160000 - $20000) / $160000 × 100
= $140000/$160000 × 100
= 87.5%
Therefore, the other partners have 87.5% of the investment.
Read related link on:
https://brainly.com/question/12186568
What is the area of the base of this right circular cone in terms of π?
Answer:
25π
Step-by-step explanation:
A = πr²
B
π[5]² = 25π
I am joyous to assist you anytime.
Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is as followed.
Area = [tex]\pi r^{2}[/tex]
If y= -7 when x= -3, find y when x=9
if i am right you would multiply x= -3 by -3 and you get 9 so you would do the same thing to the y as well so y= -7 and you multiply it by -3 and then y= 21
what is the volume of the sphere shown below with a radius of 3
Answer:
The answer to your question is: letter A
Step-by-step explanation:
Data
radius = 3
Formula
V = (4/3)πr³
V = (4/3) π (3)³ = Substitution
V = (4/3) π (27) Simplify
V = 108π / 3
V = 36 π u³
A. The volume of the sphere is 36[tex]\pi[/tex] cubic units.
What is formula of volume of sphere ?Let, r be the radius of the sphere.
Then the volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units
What is the required volume ?Given radius of sphere (r) = 3 units
So, the volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex] cubic units
= [tex]\frac{4}{3}\pi *3^{3}[/tex] cubic units
= [tex]\frac{4}{3}*27\pi[/tex] cubic units
= [tex]36\pi[/tex] cubic units
Learn more about volume of sphere here :
https://brainly.com/question/27007326
#SPJ2