Answer:
[tex] f(x)=8x^2+4\\ g(x)=\sqrt{2x^3}\\ f(g(x))=8((\sqrt{2x^3})^2)+4\\=16x^3+4\\=4(4x^3+1)[/tex]
The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 8x² + 4
g(x) = √(2x³)
The function f(g(x)) is calculated as,
f(g(x)) = 8[√(2x³)]² + 4
f(g(x)) = 8[√(2x³)]² + 4
f(g(x)) = 16x³ + 4
f(g(x)) = 4(4x³ + 1)
The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.
More about the function link is given below.
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if 42 watts are used in 3 seconds how many watts are used per second?
Answer:
14 watts per second
Step-by-step explanation:
42 watts/3 seconds=14 watts per second
Consider the matrices
Show that multiplication of matrices is not commutative be determining the product matrices ST and TS. Enter your answer by filling in the boxes.
Answer:
Answer attached
Step-by-step explanation:
ST
3*-2 + 4*-4 = -22 3*0 + 4*5 = 20
-1*-2 + -2*-4 = 10 -1*0 + -2*5 = -10
try TS by yourself
the product of two given matrices is [tex]ST=\left[\begin{array}{cc}-22&20\\10&-10\end{array}\right][/tex] and [tex]TS=\left[\begin{array}{cc}-6&-8\\-17&-26\end{array}\right][/tex].
Given that,
[tex]S=\left[\begin{array}{cc}3&4\\-1&-2\end{array}\right][/tex] and [tex]T=\left[\begin{array}{cc}-2&0\\-4&5\end{array}\right][/tex]
What is the product of two matrix?The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined. If AB and BA are both defined, it is not necessary that AB = BA.
Now, [tex]ST=\left[\begin{array}{cc}3&4\\-1&-2\end{array}\right] \times \left[\begin{array}{cc}-2&0\\-4&5\end{array}\right][/tex]
[tex]ST=\left[\begin{array}{cc}(-6-16)&(0+20)\\(2+8)&(0-10)\end{array}\right][/tex]
[tex]ST=\left[\begin{array}{cc}-22&20\\10&-10\end{array}\right][/tex]
[tex]TS= \left[\begin{array}{cc}-2&0\\-4&5\end{array}\right]\times \left[\begin{array}{cc}3&4\\-1&-2\end{array}\right][/tex]
[tex]TS=\left[\begin{array}{cc}(-6-0)&(-8-0)\\(-12-5)&(-16-10)\end{array}\right][/tex]
[tex]TS=\left[\begin{array}{cc}-6&-8\\-17&-26\end{array}\right][/tex]
Therefore, the product of two given matrices is [tex]ST=\left[\begin{array}{cc}-22&20\\10&-10\end{array}\right][/tex] and [tex]TS=\left[\begin{array}{cc}-6&-8\\-17&-26\end{array}\right][/tex].
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How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide
Answer:
Bro thats 2
Step-by-step explanation:
because 1. 1+1=2
2. because 2 is just too good
3. theres no three because theres only 2 steps!!!!
Pls help with thissssdd!!
Answer:
a. False
b. true
c. false
d. true
Step-by-step explanation:
The length of the subway is 113 miles. if 4.1 inches represents 677 miles, what is the length of the subway on the map? Round your answer to the nearest
hundredth if needed.
Answer:
0.68 inches (nearest hundredth)
Step-by-step explanation:
First, find the length on the map that represents 1 mile of the subway.
677 miles ----- 4.1 inches
1 mile ----- 4.1 ÷ 677= 0.0060561 inches (5 s.f.)
Multiply both sides by 113:
113 miles ----- 113(0.0060561)= 0.68 inches (nearest hundredth)
Thus, the length of the subway on the map is 0.68 inches.
Multiply.Enter your answer in scientific notation.
(7x 10^*13)(3.39 x 10^*5)=
the sum of the reciprocals of two consecutive integers is -11/30
List all the prime factors of:(a) 36. (b) 42. (c) 58. (d) 66. (e) 85.
Answer:
36
Step-by-step explanation:
just do square root
NEED HELP ASAP!!
find the measure of the angle.
Answer:
85 degrees
Step-by-step explanation:
I have be stuck on this for a while pleeeeez help me with it.
Answer:
$88
Step-by-step explanation:
75+84+105 = 264
264/3 = 88
Joseph jogged at a rate of 5 miles per hour for 30 minutes. How many miles did he jog
Answer:
150 Miles
Step-by-step explanation:
30 * 5miles = 150
Can y’all help me with all of these
what is the GCF of 54 and 80
Answer:
2
Step-by-step explanation:
Find the solution of the system of equations
8x + 7y = 47
-4x - 5y = -25
Answer:
x,y = 5,1
Step-by-step explanation:
m = -8, y-intercept = 2
Answer: y=-8x+2
Explanation: Slope intercept form is y=mx+b
Plug -8 in for m, and -2 in for b to get y=-8x+2
Please help me with this from 1 to 10
Answer:
2. makes
3. had wanted
4. are deciding, get
5. are going
6. ate
7. will be traveling
8. are
9. asked
10. lose
Answer:
2. Wanted
3. Wants
4. Decides and Get
5. Went
6. Ate
7. Are Traveling
8. Are
9. Asks
10. Lost
Step-by-step explanation: What grade are you in??
the example shows that <A is congruent to <R. what does it mean to say that angles are congruent
Answer:
It means that the measurments of both angles are equal.
Step-by-step explanation:
I have the equation.
16x^0+2x^2*y^-1
How do I solve the equation if x = 2 and y = 4?
Answer:
18
Step-by-step explanation:
[tex] \\ \sf16 {x}^{0} + 2 {x}^{2} \times {y}^{ - 1} [/tex]
Now putting the values of x and y.
[tex] \\ \sf16 \times {2}^{0} + 2 \times {2}^{2} \times {4}^{ - 1} [/tex]
[tex] \\ \sf = 16 \times 1 + 2 \times 4 \times \frac{1}{ {4}}[/tex]
[tex] \\ \sf = 16 + 2[/tex]
[tex] \\ \sf = 18[/tex]
Note:
•If the power of a number is 0 then it's value will be 1.
•If the power of a number is negative then reciprocal the number to make the power positive.
Plz help I don’t understand
Answer:
send full question plzzz
5. Which unit is used to measure volume?
Hours
Feet
Gallons
Tons
28 + 44 = 4(7 + ___)
Answer:
72
Step-by-step explanation:
Answer:
28 + 44 = 4(7 + 11)
Step-by-step explanation:
How much force is needed to push a 10kg ball to an acceleration of 0.8 m/s2?
Answer:
Mass of the object (m)= 10kg
Acceleration of the object (a)= 2m/s^2
Force acting on the object (F)= ?
Solution
F = m × a
F = 10 × 2
F= 20N
The force acting on the object is 20N.
Step-by-step explanation:
8N of force is needed to push a 10kg ball to an acceleration of 0.8 m/s²
What is Force?Force is an influence that can change the motion of an object.
Given,
Mass of the object (m)= 10kg
Acceleration of the object (a)= 0.8m/s²
We need to find Force acting on the object (F)= ?
Force=Mass ×Acceleration
F = m × a
Plug in the values of mass and acceleration
F =10 × 0.8
F= 8N
Hence, The force acting on the object is 8N.
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helppp pleaseeeee, this is due in a few....
Answer: 3/2
Step-by-step explanation:
Pleasee can someone help and show work? I hate fractions and i have school in like 30 minutes D:
Answer:
Sure, what do you need help with?
Step-by-step explanation:
Send whatever you need help with and I'll see if I can explain it.
Plz help me do this math problem !
Step-by-step explanation:
reason 1: given
reason 2: alternate interior angles
reason 3: alternate interior angles
reason 4: common (reflexive property)
reason 5: aas
Please help me! Will give brainliest!
Answer:
6
Step-by-step explanation:
you have to split it up mostly
Can someone help me do this
Step-by-step explanation:
the angle is greater than 180 degrees so it makes it an obtuse triangle
90-80*2-2
plz helpppppppppppppppppp
Answer:
18
Step-by-step explanation:
90-80=10
10*2=20
20-2=18
Answer:
90-80 x 2-2 = 0
Step-by-step explanation:
Firstly. subtract 80 from 90 to get 10.
90-80= 10
Then subtract 2 from 2, to get 0.
2-2=0
Lastly, for your answer multiply 10 by 0 to get 0.
10 x 0 = 0
, Hope this helps :)
Have a great day!!
A company has 95,000 shares of stock to sell. A stockbroker decides to buy equal shares of stock for each of her 250 clients .
Answer:
380 Stocks per client
Step-by-step explanation:
To solve:
95,000/250 (95,00 shares between 250 of her clients)
= 380 Stocks per client
Hope this helps!
Mr. Chan handed out eight tenths of his flyers.Write a fraction and a decimal that Represents The amount of Flyers that he handed out.