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3 years ago

Write a word problem for the absolute value

1 answer:

7 0

If you are at sea level and diving and you descend 500 ft, then how far are you away from sea level?
0+|-500|=500 feet away from sea level

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The conference will begin at 8:30 a.m. and will last 5 hours 45 minutes. What time will the conference be over?

Delicious77 [7]

Add the time to the start time:

8:30

1 hour: 9:30 am

2 hours: 10:30am

3 hours: 11:30am

4 hours: 12:30pm

5 hours: 1:30pm

Then 45 minutes makes the time 2:15pm

Answer: 2:15 pm

3 0

3 years ago

Monique has 2 hours to complete 3 homework assignments.She wants to spend the same amount of time on each assignment.How meany m

Xelga [282]

3÷2= 1.5

To make sure if it's correct,
1.5
x2
__
3.0

4 0

3 years ago

Two brothers, Mark and Walter, each inherit $20000. Mark invests his inheritance in a savings account with an annual return of 2

Igoryamba

Answer:

$720

Step-by-step explanation:

$20000 - 100%

$x. - 2.5%

x=(20000*2.5)/100=500

20000+500=$20500 in one year (Mark)

20000 - 100

x. - 6.1

x= (20000*6.1)/100 = 1220

20000+1220= $21220 (Walter)

21220-20500= $720 more (Walter will have after 1 year)

3 0

3 years ago

Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]

True [87]

Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

$A A^{-1}=I$ where I is the identity matrix.

Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$

$=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc$

$4\cdot \:6-3\cdot \:3=15$

$=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}$

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

4 0

3 years ago

Find the value of x when m<2 = x + 64

polet [3.4K]

Answer:

-9

Step-by-step explanation:

The triangle has two sides that are the same, so it is an isosceles triangle. Therefore, the base angles are the same.

Angles of a triangle add up to 180°, so:

70 + (x + 64) + (x + 64) = 180

70 + 2x + 128 = 180

2x = -18

x = -9

5 0

3 years ago

Read 2 more answers