1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
salantis [7]
3 years ago
13

of the 400 vehicles that passed the intersection, 98 are buses, what percent of the vehicles that passed the intersection are bu

sses
Mathematics
1 answer:
frutty [35]3 years ago
5 0
It should be 24.5%. If you divide 98 by 400 it's .245. Then multiply it by 100, you get 24.5%.
You might be interested in
A canister is dropped from a helicopter 500m above the ground. Its parachute does not open, but the canister has been designed t
solmaris [256]

Answer:

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

Step-by-step explanation:

A function<em> F</em> is called an antiderivative of <em>f</em> on an interval <em>I</em> if F'(x) = f(x) for all x in <em>I.</em>

Recall that if the object has position function s=f(t), then the velocity function is v(t)=s'(t). This means that the position function is an antiderivative of the velocity function. Likewise, the acceleration function is a(t)=v'(t), so the velocity function is an antiderivative of the acceleration.

An object near the surface of the earth is subject to a gravitational force that produces a downward acceleration denoted by g. For motion close to the ground we may assume that g is constant, its value being about 9.8 \:{\frac{m}{s^2}}.

We know that the acceleration due to gravity is given by

a(t)=-9.8

and the antiderivative is velocity

v(t)=\int a(t)\,dt\\v(t)=\int -9.8\,dt\\v(t)=-9.8t +C

We know that the canister was dropped, so the initial velocity at t = 0 is zero, this fact let us know the value of C.

v(0)=9.8(0)+C\\C=0

The antiderivative of velocity is the position

s(t)=\int v(t) \, dt\\s(t)=\int -9.8t \, dt\\s(t)=-4.9t^2+C

To find the value of the constant C, we know that the height was 500 m at t  = 0, this means s(0)=500

500=-4.9(0)^2+C\\C=500

s(t)=-4.9t^2+500

Using the fact that at the time of impact the height s(t) is zero we can compute the total time of the fall:

s(t)=-4.9t^2+500=0\\\\-4.9t^2=-500\\\\t^2=\frac{5000}{49}\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\t=\sqrt{\frac{5000}{49}},\:t=-\sqrt{\frac{5000}{49}}

A negative time does not make sense, so we only take as a possible solution

t=\sqrt{\frac{5000}{49}}=\frac{50\sqrt{2}}{7}\approx 10.102

Now the final velocity is

v(\frac{50\sqrt{2}}{7})=-9.8(\frac{50\sqrt{2}}{7})\approx -98.995

The impact speed 98.995 m/s is less than 100 m/s and the canister will not burst.

5 0
4 years ago
William has a fish tank that has a volume of 3,825 cubic inches. The base has a width of 12.5 inches and a length of 24 inches.
andre [41]

Answer:

12.75

Step-by-step explanation:

3,825 / 12.5 / 24 = 12.75

3 0
3 years ago
Does 8,6,4 contain numbers that are less than 10
raketka [301]
Yessssssssssssssssss
6 0
3 years ago
Mrs. Lewis received her paycheck this week in the amount of $535.75. She spent $76.98 on groceries, she paid her $59.95 phone bi
SIZIF [17.4K]

Answer:

376.37

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can someone help me solve this matrix
liraira [26]

Answer:

You cant add a negative number.

Step-by-step explanation:

If you add a negative number you will not have a full answer.

6 0
3 years ago
Other questions:
  • The library is 0.96 miles away   from  theo'"s home Write this distance as a fraction in simplest form.
    11·2 answers
  • I need help with this ASAP plz!!!!
    8·1 answer
  • Could a reflection followed by a rotation ever be described as a single rotation?
    11·1 answer
  • I need the answer to 36a=15
    7·1 answer
  • How do you do number twenty four in the picture?
    10·1 answer
  • The square pyramid shown below has a base with sides of 121212 units. The vertical height of the pyramid is 151515 units. What i
    9·1 answer
  • Darcy sold lemonade in rhe summer. Lemonade is her favorite summertime drink. 1/2 of her recipe is fresh lemons . 1/3 of her rec
    8·1 answer
  • V121 + V49 + 4 = 1<br> Answer?
    11·2 answers
  • Scores on an exam are normally distributed with a mean of 67.5 and a standard deviation of 10. Find the percent of the scores th
    9·1 answer
  • Which of the following does not contain the number -7?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!