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2 years ago

Find the value of this expression and show ur work

Mathematics

1 answer:

alexdok [17]2 years ago

4 0

Answer:

-30/49

Step-by-step explanation:

You multiply the numbers, then add the negative symbol, when you multiply the numbers, you get:

10/7*3/7 which equals 30/49, which means the answer is -30/49

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a small rocket is shot from the edge of a cliff suppose that after t seconds the rocket is y meters above the cliff where y=30t-

Natalka [10]

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

5 0

3 years ago

PLEASE HELP ME.........

earnstyle [38]

Answer:

254.5

Step-by-step explanation:

5 0

3 years ago

The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha

notsponge [240]

The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.

4 0

2 years ago

The graph of f is shown. find and interpret f(45).

Ket [755]

The function represents the number of accidents (f(x)) per 50 million miles driven as a function of the driver's age (x).

$f(x)=0.4x^2-36x+1000$

f(45) indicates that you have to find the value of f(x) when x=45, to do so replace the equation of the function with the value of x and solve for f(x)

$\begin{gathered} f(x)=0.4x^2-36x+1000 \\ f(45)=0.4(45)^2-36\cdot45+1000 \\ f(45)=0.4\cdot2025-1620+1000 \\ f(45)=810-1620+1000 \\ f(45)=190 \end{gathered}$

For x=45 years f(x)=190

f(45)=190; This value indicates that 45-year-old drivers had 190 accidents per 50 million miles driven.

8 0

1 year ago

Juan bought 4.5 lbs of coffee for $7.98 per lb. Sales tax is 6%. What was the total amount Juan paid for the coffee?

Nataly_w [17]

Answer:

the amount he paid is 36.06

Step-by-step explanation:

hope this helps

7 0

2 years ago

Read 2 more answers