MATHEMATICS HIGH SCHOOL

Darius took a road trip to their grandmother's house. They drove at a constant speed of 60 miles per hour for 2 hours. They took a break and then finished the rest of their trip driving at a constant speed of 50 miles per hour for 2 hours. What was the total distance, in miles, of Darius' trip?

Answers

Answer 1
Answer:

Answer: 220 miles

Step-by-step explanation:

Distance travelled is calculated as:

= Speed × Time

Based on the scenario on the question, the total distance, in miles, of Darius' trip will be:

= (60 × 2) + (50 × 2)

= 120 + 100

= 220 miles

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What is the factorization of 729x15 + 1000?A.(9x5 + 10)(81x10 – 90x5 + 100) B.(9x5 + 10)(81x5 – 90x10 + 100) C.(9x3 + 10)(81x6 – 90x6 + 100) D.(9x3 + 10)(81x9 – 90x3 + 100)
What times 5 equals 70
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If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement (round your answer to the nearest hundredth):f(0) =

Answers

The value of the expression to the nearest hundredth is 7.07

Functions and values

Functions are expression written in terms of variable. The variables are in represented using letters.

Given the following function expressed as;

f(x)=2x^2+5√(x+2)

In order to determine the value of f(0), substitute x = 0 into the function to have:

f(0)=2(0)^2+5√(0+2)\nf(0) = 5√(2)

Hence the value of the expression to the nearest hundredth is 7.07

Learn more on functions here: brainly.com/question/25638609

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f(x)=2x^2+5√(x+2)\n\nf(0)\to substitute\ x=0:\n\nf(0)=2\cdot0^2+5√(0+2)=0+5\sqrt2=5\sqrt2\approx5\cdot1.41=7.05

What is the discount of a baseball hat that is $34 with a 28% discount?

Answers

Answer:

12 bucks

Step-by-step explanation:

What is the volume and surface area of a sphere if the diameter is 7.5 feet?

Answers

The volume of a sphere is expressed as the four thirds of the product of pi and the cube of its radius. The surface area, on the other hand, is expressed as four times the product of pi and the square of its radius. Radius is half the diameter. Calculations are as follows:

V = 4/3 X (πr^3) = 4/3 X (π x 3.75^3) =220.89 ft^3
SA = 4πr^2 = 4 x π x 3.75^2 = 176.71 ft^2

What is the volume of a circular mine passage that is 19.0 feet in diameter and 210.0 feet long?

Answers

d = diameter : d =19 \ ft \n \nradius : r=(d)/(2)=(19)/(2)=9.5 \ ft \n\n length of object : \ h=210 \ ft \n\nCircle Area : \ A= \pi r^2\n \nCircular Volume = A*h = \pi r^2h \n \nCircular Volume = \pi\cdot 9,5^2*210 =90,25 \cdot 210\cdot \pi =18952.5 \ \pi \ ft^3

Delilah received a stipend of $1,000 for the extra work she does on the job. She is going to deposit the money into her bank account that receives 4% simple interest.The account balance after year 3 is what

Answers

Answer:

$1,120

Step-by-step explanation:

Interest I = PRT/100 where P = amount deposited, R = rate percent and T = time.

So I =  (1000 * 4 * 3) / 100

= $120.

So the account balance is 1,120 dollars.

Scientists who study Atlantic salmon have found that the oxygen consumption of a yearling salmon O is given by the function O=100. 3^(3s/5) , where s is the speed that the fish is traveling in feet per second A) what is the oxygen consumption of a fish that is traveling at 5 feet per second ?
B) If a fish has traveled 4.2 miles in an hour. What is its oxygen consumption

Answers

O=100\cdot3^{\tfrac{3\cdot5}{5}}\nO=100\cdot3^3\nO=100\cdot27\nO=2700\n\n4.2 \text{ mph}\approx6.16\frac{\text{ft}}{\text{s}}\nO=100\cdot3^{\tfrac{3\cdot6.16}{5}}\nO=100\cdot3^(3.7)\nO=100\cdot58.3\nO=5830
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