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chubhunter [2.5K]
3 years ago
13

Please help if you can ty!!

Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0
To travel 13 mph it would take roughly 8.2 minutes !
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Suppose that the functions q and r are defined as follows.
satela [25.4K]

Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

g(x) = x^2 + 5

r(x) = \sqrt{x + 7}

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

g(2) = 4 + 5

g(2) = 9

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

r(x) = \sqrt{x + 7}

r(9) = \sqrt{9 +7{

r(9) = \sqrt{16}{

r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

r(2) = \sqrt{9}

r(2) = 3

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

g(x) = x^2 + 5

g(3) = 3^2 + 5

g(3) = 9 + 5

g(3) = 14

Hence:

(q o r)(2) = 14

8 0
2 years ago
The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the
Semmy [17]
The correct option is "d".
Given that L = 0.8T²
length of pendulum = 30ft

L= 0.8T²
30 = 0.8T²
T² = 30 / 0.8
T² = 37.5
T = √37.5 = 6.1 seconds
<span>So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.</span>
7 0
3 years ago
Mrs. Ness buys 22 oz. of bananas for $2.86. What was the cost per ounce of the bananas?
Nezavi [6.7K]

Answer:

$0.13  per oz

Step-by-step explanation:

since you have $2.86, you have to split it into 22 ounces. You divide the 2.86 and the 22oz. and get 0.13

4 0
2 years ago
A rock is projected directly upward from ground level with an initial velocity of 90 ft/sec. After how many seconds will it retu
Nastasia [14]
For this case we have the following equation of motion:
 h (t) = -16t ^ 2 + 90t
 Equaling the equation to zero we have:
 -16t ^ 2 + 90t = 0
 We look for the roots of the polynomial:
 (t) (- 16t + 90) = 0
 t1 = 0 (initial position)
 t2 = 90/16 = 5.625 s (time it reaches the ground again)
 Answer:
 
it will return to the ground in:
 
t = 5.625 s
4 0
3 years ago
Answer the statistical measures and create a box and whiskers plot for the following set of data. 3, 4, 6, 7, 8, 9, 10, 10, 12,
notka56 [123]

Min:3

Q1:7.5

Med:10

Q3:13

Max:16

Hope this helps. Have a nice day. Please mark brainliest!

6 0
3 years ago
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