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2 years ago

A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes. What is the vehicle's speed?

Mathematics

2 answers:

lesantik [10]2 years ago

7 0

Answer:

The speed is 5t^3 - 10t^2 + 10t - 20 + 46/(t+2) miles per minute

Step-by-step explanation:

VLD [36.1K]2 years ago

6 0

Let distance be s and velocity be v
s = 5t⁴ - 10t² + 6
We know velocity is the change in distance per unit time, so
v = ds/dt
v = 20t³ - 20t

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The area of the rectangle is

igomit [66]

Answer:

L = 3x - 2

P = 6x - 10

Step-by-step explanation:

Area = length * width

A = l*w

so if the width is 6 inches we can say w = 6

and we can say that l = to the length of the rectangle

if we substitute this:

(18x - 12) = l * 6

we get the answer l = 3x - 2 since we divide both sides by 6.

the expression for length of the rectangle is -> l = 3x - 2

for the perimeter:

P = 2(l + w)

if we substitute this:

P = 2(3x - 2) + 6

distributive property:

P = 2(3x) - 2(2) + 6

then would be:

P = 6x - 4 + 6

(combine like terms) -> P = 6x - (4 + 6)

then you would get: P = 6x - 10

which can also be writtern as -> P = 6x + (-10)

but this is not simplified so you would just write it as 6x - 10

Hope this helps, and hope this was the answer you were looking for. Thank you. Sorry if this does not help

7 0

2 years ago

A. What is the area of the base? Use complete sentences to explain your reasoning.

Lynna [10]

Answer:

For the first answer (A)

The area of the base is the area of the 8 by 4 rectangle, minus the missing 2 by 2 square in the top-right. This is 8*4-2*2=32-4=28 square centimeters.

For the second answer (B)

The volume of the prism is the base area multiplied by the height, or 28*10=280 cubic centimeters.

8 0

2 years ago

Read 2 more answers

The probability that a lab specimen contains high levels of contamination is 0.15. A group of 4 independent samples are checked.

Lady bird [3.3K]

Answer:

0.5220

Step-by-step explanation:

Since the probability of contamination is 0.15, the probability of no contamination is 1 - 0.15 = 0.85

The probability that they are all contaminated will be 0.85 * 0.85 0.85 * 0.85 = 0.52200625

This is 0.5220 to four decimal

5 0

2 years ago

How do write the number 100203 in word from

PIT_PIT [208]

100,203=>One hundred thousand, two hundred and three...

hope it helps !!!

8 0

2 years ago

Read 2 more answers

Find four consecutive numbers whose sum equals 218

Softa [21]

Answer: 53, 54, 55, and 56

Step-by-step explanation: This problem states that the sum of 4 consecutive numbers is 218 and it asks us to find the numbers.

4 consecutive numbers can be represented as followed.

X ⇒ first number

X + 1 ⇒ second number

X + 2 ⇒ third number

X + 3 ⇒ fourth number

Since the sum of our 4 consecutive numbers is 218, we can set up an equation to represent this.

X + X + 1 + X + 2 + X + 3 = 218

On the left side of the equation, we can combine our x's and our numbers.

4x + 6 = 218

-6 -6 ← subtract 6 from both sides of the equation

4x = 212

÷4 ÷4 ← divide both sides of the equation by 4

X = 53

X ⇒ first number = 53

X + 1 ⇒ second number = 54

X + 2 ⇒ third number = 55

X + 3 ⇒ fourth number = 56

Therefore, our 4 consecutive numbers are 53, 54, 55, and 56.

4 0

2 years ago