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
tresset_1 [31]
3 years ago
11

Answer pleaseeeeeeeeee

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:

y=-\frac{8}{7}x+4

Step-by-step explanation:

A line is perpendicular to another if its slope is the negative reciprocal of the other.

Your lines are in slope intercept form here, y=mx+b, where m is the slope. We can see the given line has slope \frac{7}{8}. The negative reciprocal of that is -\frac{8}{7}, which is the slope of the third answer choice.

You might be interested in
-3x=50 what is the answer I just need some help lol
____ [38]

Answer:

assuming that you have solve x, the the answer is x=-16.6 repeating

Step-by-step explanation:

4 0
3 years ago
What is the formula to find the length of an arc when given the central angle and radius?
vazorg [7]
s = \dfrac{n}{360^\circ}2 \pi r

where
s = arc length
n = measure of central angle
r = radius

3 0
3 years ago
If Hector is 8 years old and Mary is 3 years old how old will Mary be when Hector is 16
IRINA_888 [86]
Okay so 8 (hector) - 3(Mary) = 5 years apart
So, 16 (hector) - 5 (years apart) = 11 (Mary’s age)
7 0
3 years ago
During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

1000 = 300e^{24r}

e^{24r} = \frac{1000}{300}

e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

r = 0.05

So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
Change 75 millimeters to decimeters. <br><br>       A. 750 dm   B. 7.5 dm   C. 7500 dm   D. .75 dm
n200080 [17]
We know that 1 mm=0.01 dm
75 mm=0.75 dm
choice D
7 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how you could mentally find 8x45 by using Distrubitive property
    7·2 answers
  • Perimeter is 46 ft length is 10 ft what is width
    5·1 answer
  • Are fractions 1/5, 5/5, and 5/1 equivalent?
    8·2 answers
  • Sixteen is 64% of what number?<br><br> A.12<br> B.25<br> C.32<br> D.48
    6·2 answers
  • Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
    10·1 answer
  • Find the Equation of the lines.
    12·1 answer
  • Suppose you deposited ​$100 in a savings account 2 years ago. The simple interest rate is 2.7%. The interest that you earned in
    12·2 answers
  • What is the range of the function in the graph?
    6·1 answer
  • What type of dilation is formed when the scale factor K is greater than one
    6·1 answer
  • 2.5 kg cost £1.40<br><br>work out the cost of 4.25kg
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!