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
anastassius [24]
3 years ago
13

1. What is the product of the solutions to the equation 5z' – 32z- 21 = 0?

Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

Fraction = -7/9

Decimal = -0.77777...….

Step-by-step explanation:

You might be interested in
Directions: Simplify the following monomials.SHOW ALL STEPS!
Elena-2011 [213]

Answer:

Please see the attached images for explanation:

Step-by-step explanation:

Please let me know if you have any questions :)

8 0
2 years ago
Which function is linear? Select all that apply.
rjkz [21]

Answer:

C and D

Step-by-step explanation:

I'm guessing the 3 in A and B are exponents, only equations with an highest exponent of 1 is linear

8 0
2 years ago
Read 2 more answers
What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?
Anvisha [2.4K]

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

To find out the average rate of change, we divide the change in the output value by the change in the input value.

In a linear function the average rate of change is a constant and is equal to the slope of the function

The linear function in slope intercept form is equal to

f(x)=mx+b

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have

f(x)=-2x+70

so

m=-2\\b=70

therefore

The average rate of change is -2

4 0
3 years ago
Find the general solution to each of the following ODEs. Then, decide whether or not the set of solutions form a vector space. E
Ipatiy [6.2K]

Answer:

(A) y=ke^{2t} with k\in\mathbb{R}.

(B) y=ke^{2t}/2-1/2 with k\in\mathbb{R}

(C) y=k_1e^{2t}+k_2e^{-2t} with k_1,k_2\in\mathbb{R}

(D) y=k_1e^{2t}+k_2e^{-2t}+e^{3t}/5 with k_1,k_2\in\mathbb{R},

Step-by-step explanation

(A) We can see this as separation of variables or just a linear ODE of first grade, then 0=y'-2y=\frac{dy}{dt}-2y\Rightarrow \frac{dy}{dt}=2y \Rightarrow  \frac{1}{2y}dy=dt \ \Rightarrow \int \frac{1}{2y}dy=\int dt \Rightarrow \ln |y|^{1/2}=t+C \Rightarrow |y|^{1/2}=e^{\ln |y|^{1/2}}=e^{t+C}=e^{C}e^t} \Rightarrow y=ke^{2t}. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form e^{2t} with t real.

(B) Proceeding and the previous item, we obtain 1=y'-2y=\frac{dy}{dt}-2y\Rightarrow \frac{dy}{dt}=2y+1 \Rightarrow  \frac{1}{2y+1}dy=dt \ \Rightarrow \int \frac{1}{2y+1}dy=\int dt \Rightarrow 1/2\ln |2y+1|=t+C \Rightarrow |2y+1|^{1/2}=e^{\ln |2y+1|^{1/2}}=e^{t+C}=e^{C}e^t \Rightarrow y=ke^{2t}/2-1/2. Which is not a vector space with the usual operations (this is because -1/2), in other words, if you sum two solutions you don't obtain a solution.

(C) This is a linear ODE of second grade, then if we set y=e^{mt} \Rightarrow y''=m^2e^{mt} and we obtain the characteristic equation 0=y''-4y=m^2e^{mt}-4e^{mt}=(m^2-4)e^{mt}\Rightarrow m^{2}-4=0\Rightarrow m=\pm 2 and then the general solution is y=k_1e^{2t}+k_2e^{-2t} with k_1,k_2\in\mathbb{R}, and as in the first items the set of solutions form a vector space.

(D) Using C, let be y=me^{3t} we obtain that it must satisfies 3^2m-4m=1\Rightarrow m=1/5 and then the general solution is y=k_1e^{2t}+k_2e^{-2t}+e^{3t}/5 with k_1,k_2\in\mathbb{R}, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).  

4 0
3 years ago
A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of
kow [346]

Answer:

The answer is - sample.

Step-by-step explanation:

Based on the set of 356 surveys that were completed and returned, the researcher finds that these students spend an average of 3.1 hours each day watching television.

For this study, the set of 356 students who returned the surveys is an example of a SAMPLE.

A sample is defined as a small part that shows what the whole population is like.

8 0
2 years ago
Other questions:
  • How do you solve this?
    12·1 answer
  • Real life Applications of Polynomials?
    8·1 answer
  • Help<br><br> Best answer I will mark as brainliest
    8·2 answers
  • A bicycle is traveling at 17 mph. How many feet will it cover in 50 seconds?
    8·2 answers
  • HEEEEELLPP MEEEEEEEE I WILL MARK THE BRAINEST IF YOU ANSWER ME PLS. . In Ellen's photograph book,she has 6 pages. Each page has
    14·2 answers
  • Ed's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. T
    7·1 answer
  • I need help ASAP (will give brainliest)
    8·1 answer
  • Hewo do u know fractions because I am dying from it T-T<br><br> 1/2+___=7/6<br><br> Help T-T
    11·1 answer
  • Bat ampanget ko???????????
    8·1 answer
  • 1. Multiply. (x^2-3x+4)(-2x^2+4x-1) Express your answer in standard form.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!