Answer:
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(h(x)) = x[/tex]
Step-by-step explanation:
[tex]g(x) = {x}^{2} + 7[/tex]
[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]
[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]
[tex]h(x) = \frac{5}{9x} [/tex]
[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]
[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]
James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
3/4
Step-by-step explanation: i took test. pls give brainliest.
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
2.414
8.160
+ 2.621
Help (I also need help learning how too round too the nearest whole number:)
Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
The cyclist drove from the village to the town, 30 km away. back on
the same road, he reduced his speed to 2 km/h and therefore
drove 30 minutes longer. At what speed did the cyclist ride from
the village to the city?
Please I really need your help quick
Answer:
14.5 hours
Step-by-step explanation:
Take the return trip situation.
From town to village
Distance = 30 kmSpeed = 2 km/hTime = Distance/Speed = 15 hoursThat is equal to the sum of t, the time taken from the village to the city and 30 minutes.
⇒ t + 30 minutes = 15 hours
⇒ t + 0.5 hours = 15 hours
⇒ t = 14.5 hours
Solve for x show work
X+12=-15
Answer:
X= -27
Step-by-step explanation:
X+12= -15
X= -15 -12
X= -27
can y’all please help, it’s gradpoint. 30 points and brainliest with explanation ! :(
Answer:
f(g))(0) = 0
Step-by-step explanation:
assuming you mean f(g)(0)
evaluate g(0) then substitute the value obtained into f
x = 0 then g(0) = 2 ← from graph (0, 2 ) , then
x = 2 then f(2) = 0 ← from graph (2, 0 )
what are the dimensions of a rectangle with an area of 45 square inches and a perimeter of 28 inches?
Answer:
9 in × 5 in
Step-by-step explanation:
the area of a rectangle :
length × width
and this is 45 in² in our case.
the perimeter of a rectangle is
2×length + 2×width
and this is 28 in in our case.
l×w = 45
l = 45/w
2×l + 2×w = 2×(45/w) + 2w = 28
45/w + w = 14
45 + w² = 14w
w² - 14w + 45 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = w
a = 1
b = -14
c = 45
w = (14 ± sqrt((-14)² - 4×1×45))/(2×1) r
= (14 ± sqrt(196 - 180))/2 = (14 ± sqrt(16))/2 =
= (14 ± 4)/2 = 7 ± 2
w1 = 7 + 2 = 9 in
w2 = 7 - 2 = 5 in
l1 = 45/w1 = 45/9 = 5 in
l2 = 45/w2 = 45/5 = 9 in.
so, we see, length and width are interchangeable. it is only important to make one 9 in and the other 5 in.
HCF or LCM
294 blue smarties, 252 pink smarties, and 210 yellow smarties are shared equally among some students with none left over. What is the largest possible number of students?
In a number of identical boxes of chocolates, there are 90 dark ginger, 198 white, and 126 hazelnut. What is the largest possible number of boxes of chocolates?
HCF for both I believe!
Suppose the confidence interval (0. 6358, 0. 7532) represents the proportion of Skyline College students who say math is their favorite subject. A. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject? No, 0. 60 is not contained in the interval Yes, 0. 60 is not contained in the interval Yes, all the interval values are greater than 0. 60 b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 Yes, 0. 60 is not contained in the interval No, 0. 60 is not contained in the interval c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 No, 0. 60 is not contained in the interval No, all the interval values are greater than 0. 60
Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).
Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
More can be learned about confidence intervals at https://brainly.com/question/25890103
34. Find the surface area for the following rectangular prism
[tex] \huge\fbox\green{ANSWER} [/tex]
Surface Area = 2×(8.25×1.5 + 8.25×3 + 1.5×3) = 83.25 centimeters^2
[tex] \mathsf \blue{83.25 {cm}^{2} }[/tex]
PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.
Answer:
x=13.9
Step-by-step explanation:
To find x we need an angle other than the right angle to use a trigonometric function. To do this we could either use Sine = Opposite/Hypotenuse or Cosine = Adjacent/Hypotenuse.
In this case i'll be using sine.
To find the angle that is above the right angle we need to use the inverse of Sine. Set up the equation
[tex] \sin^{ - 1} = \frac{22}{26} [/tex]
The answer to this is about 57.8. So now we have an angle to use to solve for x.
So now we set up the proportion
[tex] \frac{ \cos(57.8) }{1} = \frac{x}{26} [/tex]
Cross multiply.
x = 26×cos(57.8)
Put this in a calculator and x is about 13.9
heeeeeeeellllllllllllpppppppppppppp
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
Answer:
18
Step-by-step explanation:
no. of boys=2x
no.of girls=x
total no. of pupils=2x+x
27=3x
27/3=x
x=no.of girls=9
no.of boys =2x=2*9=18
Answer: 18 Boys
Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice
Find the 14" term
7, 14, 28, 56,
Step-by-step explanation:
it seems we are dealing with multiplication, as the distances between the numbers get bigger and bigger.
and then I see
7 × 2 = 14
14 × 2 = 28
28 × 2 = 56
ok, so the sequence is created by always multiplying by 2.
a1 = 7
a2 = a1 × 2 = 7 × 2 = 14
a3 = a2 × 2 = a1 × 2 × 2 = 7 × 2 × 2 = 28
an = an-1 × 2 = a1 × 2^(n-1) = 7 × 2^(n-1)
a14 = 7 × 2¹³ = 7 × 8192 = 57,344
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d is about 8.6 feet.
Step-by-step explanation:
We have similar triangles, so we can set up and then solve this proportion:
[tex] \frac{d}{10} = \frac{6}{7} [/tex]
[tex]7d = 60[/tex]
[tex]d = 8.6[/tex]
A rectangular prism is 20 meters long, 13 meters wide, and 5 meters high. What is the surface area of the rectangular prism?
Answer:
850m^2
Step-by-step explanation:
Look at the formula SA=L*W*H. And plug in the numbers pertaining the question! hints on to what to add is stuff like "long" for length, "wide" for width, and "high" for height! And use a calculator, or scetch it out to find your total answer!
Hope this helps!
HELP been stuck for 1 hour please
Answer:
B
Step-by-step explanation:
First, we find the equivalent decimal numbers:
-1.75 = -1.75
-7/10 = -0.7
-1 5/7 = -1.7142...
-0.07 = -0.07
Descending order of the equivalent decimal numbers:
-0.07, -0.7, -1.7142..., -1.75
Now we replace the equivalent decimal numbers with the original numbers.
-0.07, -7/10, -1 5/7, - 1.75
Answer: B
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) Class D - lowest variability/range
b) Class C - highest average/mean
Hope this helps!
A circle is drawn inside a square.
a
20 cm
The square has a height of 20 cm.
Work out the shaded area.
Give your answer in terms of t.
Shaded area = 21.46
Step-by-step explanation:
First find area of square,
Area = length × width
A = 20 × 20
A = 400 cm^2
Secondly, find area of circle
Area of circle = (π)r^2
A = (π)10^2
A = 100 π
Thirdly, find the area outside of the circle
Area of square - Area of circle
400cm^2 - 100π
= 85.84
lastly divide the answer by 4 to find the shaded area
85.84 ÷ 4
= 21.46
3 km is greater or less than 5,000 m
Answer:
less
Step-by-step explanation:
3 km is 1.864 miles therefore, less than 5,000 m
Please solve will mark brainliest
evaluate expression
32+4 X (16 X �) -2
Answer: 64x + 30
Step-by-step explanation:
Since this is an expression, we will simplify. Let � be x.
Given:
32 + 4 * (16 * x) -2
Simplify:
32 + 4(16x) -2
Distribute / multiply:
32 + 64x - 2
Combine like terms
64x + 30
Find the mean of the data set without the outlier.
Then, find the mean of the data set with the outlier.
Answer:
Without outlier: 9
With outlier: 8.2
Step-by-step explanation:
Outlier is the lonely point at 1 passenger.
Mean is the average
Without outlier:
one 7
two 8
two 9
four 10
=[7+(2*8)+(2*9)+(4*10)] / 9
= (7 + 16 + 18 + 40) / 9
= 81/9
9
With outlier:
one 1
one 7
two 8
two 9
four 10
=[1+7+(2*8)+(2*9)+(4*10)] / 10
= 82/10
=8.2
Answer:
Mean with outlier: 8.2
Mean without outlier: 9
Hope This Helps! :) Please Give Brainliest!
Does anyone know the awnser to this problem?
x y
1 16
2 12
3 8
5 0
Step-by-step explanation:
you have to substitute ever number on the X side in the equation to get the Y
for example 1 is under x so you will take
y=20-4(1)
y=20-4
y=16
The of a sister is two times of her brother ages. Two years ago, the age sum of the ages was 26 years. Find their ages. k
Andy made 7 baskets during a basketball game each basket was worth 2 or 3 points how many different numbers could represent the total points scored by jordan
Answer:
2+3+2+3+2+3+2=17 because each was worth 2 or 3
A traffic cone has a volume of 150 cubic inches. The height of the cone is 18 inches. What is the diameter of the traffic cone?
A.
3 inches
B.
5 inches
C.
10 inches
D.
50 inches
WILL GIVE BRAINLIEST!!
Would this improve my skills or just give me the answer
Step-by-step explanation:
Ummm i think you should try your best cause thats how you improve
explain why the other expressions do not have like terms A. 14m + mn B. 2y + 2x + 4 C. -3/4m + 8m + m D. 4 - 3p E. 5.75t + 7.75t - t F. 8xy - 6xy
If charged per cut, how much will it cost
to cut a log into eight pieces if cutting it
into four pieces costs $12?
Answer:
24
Step-by-step explanation:
4x=12
x=12/4
x=3
8×=?
8(3)=24
therefore, 8 pieces will cost 24.
another way is:
since 8 is 4×2
you could double the amount of money
12x2
which would also give you $24
If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that to cut a log into eight pieces if cutting it into four pieces costs $12.
Thus,
4x=12
x=12/4
x=3
Hence, for 8 pieces
8(3)=24
therefore, 8 pieces will cost 24.
If charged per cut, it will cost 24 dollar to cut a log into eight pieces if cutting it into four pieces costs $12
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Bob is selling raffle tickets. For every 3 tickets, he charges $27 complete the table below showing the number of tickets and the amount Bob charges. (Number of tickets 3 ? 6 ? 9) (charge ($) 27 36 ? 72 ?)
4.
Which point on the number line
represents 0.3?
Answer:
Point C
Step-by-step explanation:
because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3
Answer: it’s C because it’s the one that’s closer to 3 if u need help just ask
Step-by-step explanation:
Hope this helps
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