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
vodomira [7]
4 years ago
5

Niki uses 15 litres of water every minute when she has a shower.

Mathematics
1 answer:
MAXImum [283]4 years ago
6 0
15 litres per minute times three minutes is 45 litres for three minutes, and half a minute's worth of water in the shower is 7 1/2 (half of 15). 45+7 1/2= 52 1/2 litres of water.<span>The difference between 100 and 52 1/2 is 47 1/2, which is our final answer.</span>
You might be interested in
3.5 m
marysya [2.9K]

Answer:

This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.

Now, the circunference of a circle can be written as:

C = 2*pi*r

where:

pi = 3.14

r = radius = half of the diameter = 3.5m/2 = 1.75m

Then replacing those values in the equation for the circumference we have:

C = 2*3.14*1.75m = 10.99 m.

And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)

We can safely round up the circumference to the next whole number, C = 11m

4 0
3 years ago
The u.s. senate consists of 100 members, 2 from each state. A committee of five senators is formed. What is probability it conta
shtirl [24]

Answer:

The probability is 9.80%.

Step-by-step explanation:

The u.s. senate consists of 100 members, 2 from each state.

A committee of five senators is formed.

P(at least one from Your state) = 1- \frac{98c5}{100c5}

= 1- \frac{67910864}{75287520}

= 1-0.9020

= 0.098

That is, 9.80%.

4 0
3 years ago
Find the arc length of Arc AB.
LekaFEV [45]

Answer:

2.44pi

Step-by-step explanation:

it's in the picture

3 0
4 years ago
WILL GIVE BRAINLEIST DUE AT 9:45 P.M. PLS HURRY SUPER EASY.
Lemur [1.5K]

Answer:

c = 2

Step-by-step explanation:

Since 16 is over the variable c, first multiply both sides by c so the variable is not in the denominator of the fraction.

16/c(c) = 8(c)

16 = 8c           Next, divide both sides by 8 to solve for c.

c = 2

6 0
3 years ago
Uninhibited growth can be modeled by exponential functions other than​ A(t) ​=Upper A 0 e Superscript kt. For ​ example, if an i
laila [671]

The question is incomplete. Here is the complete question.

Uninhibited growth can be modeled by exponential functions other than A(t)=A_{0}e^{kt}. for example, if an initial population P₀ requires n units of time to triple, then the function P(t)=P_{0}(3)^{\frac{t}{n} } models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.

a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form P(t)=P_{0}(3)^{\frac{t}{n} } that models the population.

b) What will the population be in 47 days?

c) When wil the population reach 750?

d) Express the model from part (a) in the form A(t)=A_{0}e^{kt}.

Answer: a) P(t)=50(3)^{\frac{t}{30} }

              b) P(t) = 280 insects

              c) t = 74 days

             d) A(t)=50e^{0.037t}

Step-by-step explanation:

a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is

P(t)=50(3)^{\frac{t}{30} }

b) In t = 47 days:

P(t)=50(3)^{\frac{t}{30} }

P(47)=50(3)^{\frac{47}{30} }

P(47)=50(3)^{1.567}

P(47) = 280

In 47 days, population of insects will be 280

c) P(t) = 750

750=50(3)^{\frac{t}{30} }

\frac{750}{50}=(3)^{\frac{t}{30} }

(3)^{\frac{t}{n} }=15

Using the property <u>Power</u> <u>Rule</u> of logarithm:

log(3)^{\frac{t}{30} }=log15

\frac{t}{30}log(3)=log15

t=\frac{log15}{log3} .30

t = 74

To reach a population of 750 insects, it will take 74 days

d) To express the population growth into the described form, determine the constant k, using the following:

A(t) = 3A₀ and t = 30

A(t)=A_{0}e^{kt}

3A_{0}=A_{0}e^{30k}

3=e^{30k}

Use Power Rule again:

ln3=ln(e^{30k})

ln3=30k

k=\frac{ln3}{30}

k = 0.037

Equation for exponential growth will be:

A(t)=50e^{0.037t}

3 0
3 years ago
Other questions:
  • List all the number sets that apply to -3
    10·1 answer
  • Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores. 88%, 73%, 97
    9·2 answers
  • Easy math! 7th / 20 points
    8·2 answers
  • Please please someone help me
    11·1 answer
  • Which angle is an x-intercept for the function y = cos(1/2x)
    9·2 answers
  • Which of these could you represent with a ratio? A how many diet sodas there are in the fridge compared to how many regular soda
    15·1 answer
  • F(x) = 3x + 8<br> Inverse function?
    7·1 answer
  • There are 900 students at a school. You receive two thirds of he votes for best student ever! About how many
    15·1 answer
  • I need help please with the work?
    11·1 answer
  • Please and thank you :)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!