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astraxan [27]
2 years ago
10

67 of the 645 parcels are damaged on the journey.

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
5 0
67 / 645 x 100% = 10.39% (4sf)
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If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?
N76 [4]

Answer:

(f o g)(x) = 3x + \frac{2}{3}

Step-by-step explanation:

We have the function f(x) = x-\frac{1}{3} and we have the function g(x) = 3x + 1. We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

f(g(x)) = (g(x)) -\frac{1}{3}

f(g(x)) = (3x + 1) -\frac{1}{3}

Simplifying, we obtain:

(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}

Finally. The composite function is:

(f o g)(x) = 3x + \frac{2}{3}

6 0
3 years ago
Find the surface area of a cylinder with a base diameter of 8ft and a height of 6ft. Write your answer in terms of pi, and be su
Ksju [112]

Given that diameter of the base of the cylinder = 8 ft

Given that height of the cylinder = 6 ft

We have to find the surface area of the cylinder in terms of pi.

So we need to use formula of surface area of the cylinder which is

Area= 2\pi r(r+h)

where h= height = 6

r= radius = diameter/2 = 8/2 = 4

Now plug these values into above formula

Area= 2\pi *4(4+3)

Area= 2\pi *4(7)

Area= 2\pi *28

Area= 56\pi

Hence final answer is

Area= 56\pi square ft

3 0
3 years ago
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ANYBODY WHO ANSWERS THIS QUESTION CORRECTLY WILL GET 40 POINTS. THE ONES IN GREY ARE THE ANSWER OPTIONS.
masya89 [10]

Answer:

140 students are in the school

Step-by-step explanation:

According to the Pie Chart, 70 students are 50%. So then, you multiply 50% of the survey to get 100% (the entirety surveyed). So 70 x 2 = 140

So there were 140 students in the school.

7 0
3 years ago
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A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?
sesenic [268]

Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

4 0
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Which property is illustrated by the statement 8 + 2 = 2 + 8?
cricket20 [7]

Answer:

commutative

Step-by-step explanation:

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