Answer:
18x^3+1
Step-by-step explanation:
since g(x)=√2x^3 and f(x)=9x^2+1 then
f(g(x))= 9(g(x))^2 +1 = 9(√2x^3)^2 +1 = 18x^3+1
this represents the amount of money Sonia earns baking loaves in x hours
The equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex], and it represents the amount of money Sonia makes when she bakes for x hours
The functions are given as:
[tex]f(x) = 9x^2 + 1[/tex]
[tex]g(x) = \sqrt{2x^3}[/tex]
Recall that:
[tex]f(x) = 9x^2 + 1[/tex]
Substitute g(x) for x
[tex]f(g(x)) = 9(g(x))^2 + 1[/tex]
Substitute [tex]g(x) = \sqrt{2x^3}[/tex]
[tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
Hence, the equation of f(g(x)) is [tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
If (x+2),3x and (4x+1)are in AP find the value of x
Answer:
x is 3
Step-by-step explanation:
[tex]{ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}[/tex]
[tex]{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}[/tex]
Answer:
value of x is 6
Step-by-step explanation:
got it right on edgenuit
Find the length of the missing side:
Answer:
x = 15.8
Hope this helps...Have a good day!!
Solve for y in:y^(-2/3)=9
Answer:
y = 1/27
Step-by-step explanation:
[tex]y^{\frac{-2}{3}} = 9\\[/tex]
Cube both sides
[tex](y^{\frac{-2}{3}})^{3}=9^{3}\\\\y^{\frac{-2}{3}*3}=9*9*9\\\\y^{-2}=729\\\\\frac{1}{y^{2}}=729\\\\1=729*y^{2}\\\\\frac{1}{729}=y^{2}\\[/tex]
[tex]y^{2}=\frac{1}{27^{2}}\\\\y^{2}=(\frac{1}{27})^{2}\\[/tex]
y = 1/27
46°
Х
>
X =
degrees
Hshshshsus
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
⇛ x = 90° + 46°
⇛ x = 136°
Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
The Perot Museum of Nature and Science in Dallas, Texas, offers a number of different membership levels for visitors. The Premium Membership is the most popular and costs $25 for each member for 1 month. Last month, 100 people purchased the Premium Membership. This month, 40 new people bought a membership and 15 people canceled
Answer:
$2875
Step-by-step explanation:
If the member ship costs 25 a month multiply it by 100 to find the amount of money made last month so 100*25=2500 to find the new amount take 100 add 40 and subtract 15 to find the number of people subscribed which is 115 multiply by 25 to get the total profit of 2875.
Line A is represented by the following equation: X + y = 2
What is most likely the equation for line B so the set of equations has no solution?
Answer:
x+y=3
Step-by-step explanation:
For an equation to have no solution, their slope needs to be same and y intercept needs to be different,
so in this case where x+y=2
doing simply, x+y=3 makes a set of equation which has no solution, you can take any real value which is not 2
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles.
Answer:
13, 200 feet or 158,400 inches are in 2.5 miles
Step-by-step explanation:
5,280 feet * 2.5 miles= 13,200 feet
What is the cost of buying 5 kg of cheese worth
$9.00 per kg?
Cost of 1 kg = $9
So, cost of 5 kg = $9 × 5 = $45
Complete the ordered pairs below so they satisfy the equation.
y = - 7x + 8
Answer:
x=8/7-y/7
Step-by-step explanation:
Find the medians of the following sets of data.
I) 23, 17, 36, 47, 42
Answer:
36 is the median of give data
1.a) express 64 in the form of 2^p
b)hence find the value of p when:
2^p= 1/64
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex]
64 = [tex]2^{6}[/tex] , then
[tex]2^{p}[/tex] = [tex]\frac{1}{64}[/tex] = [tex]\frac{1}{2^{6} }[/tex] = [tex]2^{-6}[/tex]
Since the bases on both sides are equal, both 2, then equate exponents
p = - 6
Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq
Answer:
8r+8pg-pq
Step-by-step explanation:
The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg
Hope this helps!
If a car travels at a uniform speed at 72 kilometers per hour, how many kilometers does it travel in 15
minutes?
Answer:
18 kilometres
Step-by-step explanation:
Speed of the car is 72 kilometres per hour
means the car runs 72 kilometers within 60 minutes
so, the car will travel in 15 mins,
72×15/60
= 72/4 = 18 kilometres
A bakery sells 5 apple muffins for every 2 bran muffins sold. Which table shows this ratio?
Answer:
D
Step-by-step explanation:
5:2::20:4::30:6::40:8
20/4 is 5
30/6 is 5
40/8 is 5
Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Answer:
22.8
Step-by-step explanation:
I just did the math :)
The mean of a given set of data is 22.8.
What is the arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Here, n = 21
⇒ ∑x = Sum of Observations
⇒ ∑x = 478.8
Mean = ∑x/n
Mean = 478.8/21
Mean = 22.8
Hence, the mean of the given data is 22.8.
Learn more about what Arithmetic means here:
https://brainly.com/question/13000783
#SPJ5
K(x)=5^x+2 find (-2)
Answer:
1
Step-by-step explanation:
K(x)=5^(x+2)
Let x = -2
K(-2)=5^(-2+2)
= 5^0
= 1
Answer:
k(- 2) = 1
Step-by-step explanation:
Substitute x = - 2 into k(x) , that is
k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]
On a unit circle, the terminal point of 0 is (square root of 2/2, square root of 2/2) what is 0?
Answer:
Step-by-step explanation:
0 should never be used as a substitute for θ!
(√2/2, √2/2) = (cos(45°), sin(45°))
The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (√2/2, √2/2), is 45°.
What is a terminal point?The terminal point of a circle is defined as the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
On a unit circle, the terminal point of θ is,
(√2/2, √2/2) = (cos(45°), sin(45°))
The value of theta at the terminal point (square root of 2/2, square root of 2/2) is 45 degrees.
Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (square root of 2/2, square root of 2/2) is 45°.
Learn more about the terminal point here;
brainly.com/question/4256586
#SPJ2
What is the standard equation of the circle?
Answer:
A is the answer
Step-by-step explanation:
the center of the circle is (-2,-1) so you're going to reverse their signs and insert that value in for x and y. the radius is 5, but the equation of a circle is
[tex]x ^{2} + {y}^{2} = {r}^{2} [/tex]
so you're going to square the radius, this making it 25.
please answer! i need the answers in order to move on:)
Answer:
1) [tex](\sqrt{25})^{2}[/tex]
[tex]=25[/tex][tex]=5^{2}[/tex]------------
2)
[tex]\sqrt{3}=3^{1/2}[/tex][tex]\sqrt[4]{3} =3^{1/4}[/tex][tex]\sqrt[3]{2} =2^{1/3}[/tex][tex]\sqrt[5]{2} =2^{1/5}[/tex]-------------
3)
[tex](\frac{49}{64} )^{1/2}[/tex]
→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]
→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]
→ [tex]\frac{7}{8}[/tex]
------------
4)
[tex]\sqrt[3]{\frac{27}{125} }[/tex]
[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]
[tex]=\frac{3}{5}[/tex]
--------------
5)
[tex]32^{1/5}[/tex]
[tex]=(2^{5} )^{1/5}[/tex]
[tex]=2^{5\times1/5}[/tex]
[tex]=2[/tex]
--------------
OAmalOHopeO
8(-7+n)=-128 please help
Convert 7.5 gallons to quarts using a unit multiplier
Answer:
30 quarts
Step-by-step explanation:
4 quarts = 1 gallon
7.5 gallons * 4 quarts/ 1 gallon = 30 quarts
Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625
Answer:
x = 7 e y = -24
Step-by-step explanation:
The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
What is an equation of a circle?A circle can be characterized by its centre's location and its radius's length.
Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)²+(y-k)²=r²
The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.
Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.
Therefore, the radius of the circle will be,
Radius = √[(7-0)² + (-24 - 0)²]
= √(49 + 576)
= √(625)
= 25
Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,
(x - h)² + (y - k)² = r²
[x - 7]² + [y - (-24)]² = (25)²
(x - 7)² + (y + 24)² = 625
Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
Learn more about the Equation of a circle here:
https://brainly.com/question/10165274
#SPJ5
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answer:
it isn't the equation so it can't be any roots...
Step-by-step explanation:
[tex](2+1)^2+2=10-6\\4+4+1+2=10-6\\11\neq 4[/tex]
A ,b,c or d? I need help pls help me
It depends a lot on where you live. But I would assume the answer is apples. I hope this helps you out and have a nice day! :)
8. Define transversal lines.
Step-by-step explanation:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles
0.741 round to nearest one
Answer:
Step-by-step explanation:
Since round to the nearest one is too vague, i'll give everything this can be rounded too
Rounded to the nearest whole number
0.741 = 1
Rounded to the nearest tenth
0.741 = 0.7
Rounded the the nearest hundreth
0.741 = 0.74
Hopefully this helps
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. The best questionnaires provide as many open-ended questions that contain multiple possible responses to enable respondents to be creative with answers.
B. Questionnaires must avoid the use of any multiple choice questions.
C. Questionnaires should contain no more than 3 questions to avoid respondents from becoming tired filling out the surveys.
D. Questions on questionnaires should be worded to enable respondents to provide specific answers.
Answer:
I think A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Identify the equation of the circle that has its center at (7, -24) and passes through the origin.
Answer:
[tex](x-7)^{2}[/tex] + [tex](y+24)^{2}[/tex] = [tex]625[/tex]Step-by-step explanation:
What is the value of the expression: 4+42 +22
Answer:
84
Step-by-step explanation:
[tex]4^3+4^2+2^2= 64+16+4=84[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]
[tex]\huge\boxed{\mathsf{4^3}}[/tex]
[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]
[tex]\huge\boxed{\mathsf{4^2}}[/tex]
[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]
[tex]\huge\boxed{\mathsf{2^2}}[/tex]
[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]
[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
