Answer:
Step-by-step explanation:
radius = √75 = 5√3 ≅ 8.66 units
f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x
Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindfolded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat twice, what is the probability of choosing a male albino rat and then either a female albino rat or a male spotted rat
Answer: [tex]\dfrac{76}{89}[/tex]
Step-by-step explanation:
The pool of rats from which the researcher is drawing participants is composed of the following:
23 male albino rats
21 male spotted rats
35 female albino rats
11 female spotted rats
Total rats = 23+21+35+11 =90
[tex]P(male\ albino)=\dfrac{23}{90}[/tex]
After drawing first rat , total rats remained = 89
[tex]P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}[/tex]
The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = [tex]\dfrac{76}{89}[/tex]
An airplane is flying diagonally across the state of Colorado. This state and its
dimensions are represented by the rectangle on the map shown.
280 mi
385 mi
Based on the measurements shown in the map, which measurement is closest to the
distance in miles the airplane will fly along the diagonal?
A
665.0 mi
B
25.8 mi
с
36.4 mi
D
476.1 mi
PLS HELP ASAP!tysm if u help me!<3
Answer:
Step-by-step explanation:
It is a matter of just substituting the values into the given equation.
4m^2-2n+5
If m=5 and n=9 then it becomes
4(5^2)-2(9)+5
4(25)-18+5
100-18+5
87
Help me because I need to get a 10/10
help please this is due by 11:45 also its 6th grade math btw
Answer:
578[tex]m^{2}[/tex]
Step-by-step explanation:
Answer: 578 m2
Step-by-step explanation: Hope this helps!! <3
At one point in a winter sky in North America, the distance between the Earth and
Jupiter was 391 million miles and the distance between Earth and Mars was 160
million miles. The included angle between these two distances was 118°, At that
particular time, what was the approximate distance between Mars and Jupiter?
Answer:
2.154
Step-by-step explanation:
.2453
I need help, with this
divide 405 in the ratio 4:11
Step-by-step explanation:
Answer is in the photo
Hope it helllps
Good luck
The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.
Let the common ratio between the numbers is x. Form an equation and solve for x.
4x + 11x = 405
15x = 405
x = 405 / 15
x = 27
The numbers are,
4x = ( 4 x 27 ) = 108
11x = ( 11 x 27 ) = 297
Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
A container is in the shape of a right rectangular prism. Hayden wants to put a stick in the container.
What is the length in inches of the longest stick that will fit in the container
Answer:
13 in.
Step-by-step explanation:
First figure out the length of the diagonal of the base.
3²+4²=c²
9+16=c²
25=c²
√25=c
c=5
Now we can figure out the stick using the same method.
5²=12²=c²
25+144=c²
169=c²
√169=c
c=13
What percent of 64 is 26?
40.63%
(adding extra words so it's longer than 20 don't mind me here)
Which function is equivalent to g(x) = x2 + 15x – 54?
g(x) = (x + 9)(x – 6)
g(x) = (x – 9)(x + 6)
g(x) = (x – 18)(x + 3)
g(x) = (x + 18)(x – 3)
Answer:
g(x)=(x+18)+(x-3)
Step-by-step explanation:
The function i.e. g(x)=(x+18)(x-3) equivalent to the given equation.
Given that,
The equation is [tex]g(x) = x^2 + 15x - 54[/tex].We need to solve it.
Based on the above information, the calculation is as follows:
[tex]g(x) = x^2 + 15x - 54[/tex]
[tex]x^2 + 18x - 3x - 64\\\\x (x + 18) - 3(x + 18)\\\\(x +18 ) (x - 3)[/tex]
Learn more: brainly.com/question/17429689
what is the slope of a line passing through (2,-3) and (5,1)?
Answer:
The slope of the line is ⁸/₅, or 1.6
Step-by-step explanation:
Slope is equal to Δy/Δx, so we have:
(1 - (-3)) / (5 / 2)
= 4 / 2.5
= 8 / 5, or 1.6
Hi I need help plzzzzzzz
Emily completely fills a container with 6 cubes. Each cube has an edge length of
3 centimeters. The container is in the shape of a right rectangular prism. What is the
volume of the container in cubic centimeters?
8p(-3p^2+6p-2) hellpppppppp
-16p was my answer after simplifying it
Answer:
120p - 16p = 104p
Step-by-step explanation:
-3p x -3p = 9p + 6p = 15p x 8p = 120p
8p x -2 = -16p
120p - 16p = 104p
Please wait for more responses if needed thank you.
A company introduced a much smaller variant of its tablet, known as the tablet junior. Weighing less than 11 ounces, it was about 50% lighter than the standard tablet. Battery tests for the tablet junior showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between 7.5 and 13 hours.
(a)
Give a mathematical expression for the probability density function of battery life.
f(y) =
(b)
What is the probability that the battery life for a tablet junior will be 10.5 hours or less? (Round your answer to four decimal places.)
(c)
What is the probability that the battery life for a tablet junior will be at least 11.5 hours? (Round your answer to four decimal places.)
(d)
What is the probability that the battery life for a tablet junior will be between 8.5 and 10.5 hours? (Round your answer to four decimal places.)
(e)
In a shipment of 100 tablet juniors, how many should have a battery life of at least 12 hours? (Round your answer to two decimal places.)
tablet juniors
Answer:
showed a mean life of 10.25 hours. Assume that battery life of the tablet junior is uniformly distributed between
Step-by-step explanation:
Find the exact Value
Sin 75 - sin 15° using
sum-to product formula
Answer:
Prefer the attachment for ur ans.
ver resposta das frações 1/5÷3/7
Answer:
7/15
Step-by-step explanation:
[tex]\frac{1}{5} / \frac{3}{7}\\\\\frac{1}{5} *\frac{7}{3} \\\\\frac{1*7}{5*3}=\boxed{\frac{7}{15}}[/tex]
Hope this helps.
Help please?..........
Answer:
The answer is b.
simplify it the following:
X u ( X n Y )
Answer:
X^2unY
Step-by-step explanation:
Xu(XnY)
= X^2unY
sorry if the process and answer is wrong.
Read the writing prompt for an argumentative essay.
Studies show that teenagers spend hours a day on social media. What impact do social media platforms have on teenagers’ mental health? Write an essay that argues your viewpoint on this topic. Support your claim with reasons and evidence.
Which source would be the most reliable to use for research of the prompt?
an article from a .com website
an article from a .net website
an article from a .gov website
an article from a .org website
I will give brainliest for the correct answer!!
Answer:
an article from a .gov website
Convert the equation y= 2x2 + 2x - 4 into intercept form.
5. During the day a person consumes 360
calories from fruit. How many calories does
this person consume in their daily diet?
A. 1,600
B. 2,300
C. 2,400
D. 2,600
Answer: C :2400
Step-by-step explanation:
Part over whole and percent over 100 you put 15 as your percent and 100 over it then you put 360 as your part then you multiply 360x100=36,000 you divide that with 15 and you get 2,400
Find the slope and reduce.
P=(5, 7) Q=(-2, -3)
Answer:
10/7
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
You can’t reduce so the final answer is 10/7
Can anyone help me I need this help.
Answer:
sorry we cant see the work I would help if I see the pitcher plz
Step-by-step explanation:
What's the surface area for this?
Answer:
382
Step-by-step explanation:
Surface area = 2(7 × 8) + 2(7 × 9) + 2(8 × 9)
= 382
Answer:
SA=382
Steps:
SA=2(7×8)+2(7×9)+2(8×9)
SA=2×56+2×63+2×72
SA=112+126+144
SA=382
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
R(x) = ________ + ________ x – _______ x^2
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
A car can travel 120 miles on 4 gallons of gasoline. How much gasoline will it need to go 510 miles?
Answer:
17
Step-by-step explanation:
7. What kind of triangle is PQR?