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lions [1.4K]
3 years ago
7

Please solve. Evaluate the function.

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

Answer:

(g o f)(x) = \sqrt{-510} (not simplified)

Step-by-step explanation:

(g o f)(x) = g(f(x))

g(x) = \sqrt{3x}  f(x) = x^{3} + 9x

g(f(-5)) = g((-5)^{3} + 9(-5) = (-125) + (-45) = -170

g(-170) = \sqrt{3(-170)} = \sqrt{-510}

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A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance trav
Anastaziya [24]

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

5 0
2 years ago
If you are traveling 543 miles and you know that your car gets 18 miles per gallon of gasoline, approximately how many gallons o
Inga [223]

we know that

the car gets 18 miles per -----------> 1 gallon of gasoline

so

for 543 miles ---------------------> x gallons of gasoline


by proportion

543/18=x/1---------->x=543/18------->x=30.17 gallons


therefore


the answer is

30.17 gallons

6 0
3 years ago
Evaluate the expression. Choose the best answer. <br><br><br><br><br><br> <img src="https://tex.z-dn.net/?f=8%5EP4" id="TexFormu
Morgarella [4.7K]
N P r = (n!)/((n-r)!)
8 P 4 = (8!)/((8-4)!)
8 P 4 = (8!)/(4!)
8 P 4 = (8*7*6*5*4!)/(4!)
8 P 4 = 8*7*6*5
8 P 4 = 1680

The final answer is 1680

4 0
3 years ago
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0
3 years ago
Evaluate q^2-5q+4, when q equals -2
Anastasy [175]

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

8 0
3 years ago
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