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
Sphinxa [80]
4 years ago
8

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
77julia77 [94]4 years ago
7 0

Answer:

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

You might be interested in
The sum of the squares of two numbers is 8 . The product of the two numbers is 4 . Find the numbers.
fenix001 [56]

Hello there.

First, assume the numbers x,~y such that they satisties both affirmations:

  • The sum of the squares of two numbers is 8.
  • The product of the two numbers is 4.

With these informations, we can set the following equations:

\begin{center}\align x^2+y^2=8\\ x\cdot y=4\\\end{center}

Multiply both sides of the second equation by a factor of 2:

2\cdot x\cdot y = 2\cdot 4\\\\\\ 2xy=8~~~~~(2)^{\ast}

Make (1)-(2)^{\ast}

x^2+y^2-2xy=8-8\\\\\\ x^2-2xy+y^2=0

We can rewrite the expression on the left hand side using the binomial expansion in reverse: (a-b)^2=a^2-2ab+b^2, such that:

(x-y)^2=0

The square of a number is equal to 0 if and only if such number is equal to 0, thus:

x-y=0\\\\\\ x=y~~~~~~(3)

Substituting that information from (3) in (2), we get:

x\cdot x = 4\\\\\\ x^2=4

Calculate the square root on both sides of the equation:

\sqrt{x^2}=\sqrt{4}\\\\\\ |x|=2\\\\\\ x=\pm~2

Once again with the information in (3), we have that:

y=\pm~2

The set of solutions of that satisfies both affirmations is:

S=\{(x,~y)\in\mathbb{R}^2~|~(x,~y)=(-2,\,-2),~(2,~2)\}

This is the set we were looking for.

7 0
3 years ago
Can someone please help!
koban [17]
2x-3y=-12...im not 100% sure but it makes the most sense to me
4 0
3 years ago
Scientific Notation, if you could help that would be wonderful!
Umnica [9.8K]

Answer:

1:D

2:A

3:C

4:E

5:B

Step-by-step explanation:

A negative exponent will be when you move the decimal point to the left. A positive exponent will be moving the decimal point to the right.

The number of the exponent is how many times you will move the decimal point.

8 0
3 years ago
Consider the initial value problem y'' + 49 y = cos(7t), y(0) = 9, y'(0) = 6. a. Take the Laplace transform of both sides of the
choli [55]

Answer:

35/49/50

Step-by-step explanation:

3.5/7.8/4.9=50

3 0
4 years ago
Students took two parts of a test, each worth 50 points. Part A has a variance of 25, and Part B has a variance of 36. The corre
Leona [35]

Answer:

Following are the solution to the given choices:

Step-by-step explanation:

In point a:

Calculating the variance of the test grade:

\to var(A+B)=var A + var B + 2 cov(A,B)

                       =25+36+2(0.8)\\\\=25+36+1.6\\\\=62.6

In point b:

\to var(A-B)=varA + var B - 2 cov(A,B)

                       =25+36-2(0.8)\\\\=25+36-1.6\\\\=59.4

The relationship between the top 20 students is also slight, so the top 20 students are more university-like than all secondary students.

7 0
3 years ago
Other questions:
  • Which of these are duties of the SEC? Check all that apply.
    9·2 answers
  • A study was made to find out if those who drank tea consumed more water than those who did not. The study concluded that those w
    7·2 answers
  • How do you solve 3(2+3x)= -2(x-2x)-8
    13·2 answers
  • Graph the region of solution of the given linear inequality<br><br> x&gt;7
    10·1 answer
  • Verify that the given functions y1 and y2 satisfy the corresponding homogeneous equation; then find a particular solution of the
    7·1 answer
  • The quotient of a number and -9 increased by 10 is 11
    14·1 answer
  • What is the equation of the line shown, (-4,1) and (2,1)?<br><br>please help!!
    11·2 answers
  • If Dianne has 1897 dollars in her account, and she has bought five pairs of pants for $164, 3 dogs for $387 and has 18 restauran
    6·1 answer
  • Consider the formula for surface area
    5·1 answer
  • SOME ONE HELP ASAP PLS
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!