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4 years ago

Evaluate the expresssion |–12|–|8|.

Mathematics

2 answers:

Ilya [14]4 years ago

7 0

Answer:

Step-by-step explanation:

The lines around the -12 and 8 is what we call absolute value. This means that whatever is in it, it will be positive. Knowing this the equation would be 12-8. This would give you 4.

ruslelena [56]4 years ago

5 0

This essentially means 12-8
|| means absolute value which is the distance from 0 the number is
Basically it’s the number but positive

So the answer is 4

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What are the answers ?

Anika [276]

If c = 8 and d = -5:

a) c - 3 = 8 - 3
= 5

b) 15 - c = 15 - 8
= 7

c) 3(c + d) = 3(8 + (-5))
= 3*3
= 9

d) 2c - 4d = 2(8) - 4(-5)
= 16 + 20
= 36

e) d - c^2 = -5 - (8)^2
= -5 - 64
= -69

f) 2d^2 + 5d = 2(-5)^2 + 5(-5)
= 50 - 25
= 25

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4 years ago

Jacob performs the work shown to find tan Tangent 165 degrees. Tangent 165 degrees = negative StartRoot StartFraction 1 + cosine

abruzzese [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Here is a uniform probability distribution.

Darya [45]

a) $P(4\le X\le6)=\dfrac25$ because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.

b) $a=3$ because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).

4 0

3 years ago

Which function is increasing at the highest rate? A. B. A linear function on a coordinate plane passes through (minus 1, 3), and

xenn [34]

The highest rate on increasing is of 12x -6y = -24; Option B is the correct answer.

The options are given in the image attached with the answer

<h3>What is a Function ?</h3>

A function is a law that relates a dependent variable and an independent variable.

It is asked among the options given , which is increasing at the highest rate.

To increase at a rate , the value of the slope , m should be > 0

For the Option 1

for a straight line function , the slope is given by

m = ( y₂ -y₁)/(x₂-x₁)

m = ( -3 -3)/(2- (-1)) = -6 /3 = -2

Therefore the function is decreasing

For Option 2

12x - 6y = -24

-6y = -12x -24

y = 2x +4

m = 2 (increasing)

For option 3

m = (-4 + 5)/(2-1) = 1

For Option 4

(8,0) (0,-4)

m = (-4 -0) /(0-8) = 4/8 = 1/2

The highest rate on increasing is of 12x -6y = -24

Therefore Option B is the correct answer.

To know more about Function

brainly.com/question/21145944

#SPJ1

6 0

2 years ago

At the beginning of each of her four years in college, Miranda took out a new Stafford loan. Each loan had a principal of $5,500

kaheart [24]

Answer:

D. $31,337.27

Step-by-step explanation:

We have that the initial amount of the loan is $5500.

Miranda took the loan for 4 years. So, the total present value is $5500×4 = $22,000.

The rate of interest on the loan is 7.5% i.e. 0.075 and it was for the duration of 10 years.

Also, it is given that the loan was compounded annually.

We have the formula as,

$P=\frac{\frac{r}{n}\times PV}{1-(1+\frac{r}{n})^{-t\times n}}$

i.e. $PV=\frac{P\times [1-(1+\frac{r}{n})^{-t\times n}]}{\frac{r}{n}}$

Substituting the values, we get,

i.e. $PV=\frac{P\times [1-(1+\frac{0.075}{12})^{-10\times 12}]}{\frac{0.075}{12}}$

i.e. $22000=\frac{P\times [1-(1+0.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-(1.00625)^{-120}]}{0.00625}$

i.e. $22000=\frac{P\times [1-0.4735]}{0.00625}$

i.e. $22000=\frac{P\times 0.5265}{0.00625}$

i.e. $P=\frac{22000\times 0.00625}{0.5265}$

i.e. $P=\frac{137.5}{0.5265}$

i.e. $P=261.16$

Thus, the total lifetime cost to pay of the loans compounded annually = 261.16 × 120 = $31,339.2

Hence, the total cost close to the answer is $31,337.27

7 0

3 years ago

Read 2 more answers