MATHEMATICS HIGH SCHOOL

What is the value of the expression below when w=5w=5? 4w+9 4w+9

Answers

Answer 1

Answer:

Using the order of operations ( PEMDAS ), the value of the expression is 29.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We need to find the value of the expression below when w = 5w = 5.

Using the order of operations ( PEMDAS ),

Then substitute 5 where the w goes in the expression.

4w+9 = 4 • 5 + 9

4w+9 = 20 + 9 = 29

Using the order of operations ( PEMDAS ), the value of the expression is 29.

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Answer 2

Answer:

Answer:

Step-by-step explanation:

substitute 5 where the w goes in the expression.

It should look like 4 • 5 + 9

Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29

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Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts that there is no oil?

Answers

So,

We are trying to find the compound probability of there BEING oil and the test predicting NO oil.

The percent chance of there actually being oil is 45%. We can convert this into fraction form and simplify it.

45% --> $(45)/(100)$

$(45)/(100)--\ \textgreater \ (3*3*5)/(2*2*5*5)$

$(3*3*5)/(2*2*5*5)--\ \textgreater \ (3*3)/(2*2*5)$

$(3*3)/(2*2*5)--\ \textgreater \ (9)/(20)$

That is the simplified fraction form.

The kit has an 80% accuracy rate. Since we are assuming that the land has oil, we need the probability that the kit predicts no oil.

The probability that the kit detects no oil will be the chance that the kit is not accurate, which is 20% (100 - 80 = 20). We can also convert this into fraction form and simplify it.

20% --> $(20)/(100)$

$(20)/(100)--\ \textgreater \ (2)/(10)$

$(2)/(10)--\ \textgreater \ (1)/(5)$

That is the probability of the kit not being accurate (not predicting any oil).

To find the compound probability of there being oil and the kit not predicting any oil, we simply multiply both fractions together.

$(9)/(20)*(1)/(5)$

$(9)/(20*5)$

$(9)/(100)$

So the probability of there BEING oil and the kit predicting NO oil is 9 in 100 chances.

probability is normally written infractin form (can also be written in percent but not as common)
it is45% that the land has oil
44%=44/100=11/25
but the sensor is 80% acurate
80%=80/100=8/10=4/5
so we multilly the 2 things
11/25 times 4/5=44/125
divide to find percent44/125=0.352
round to 0.35
0.35/1=3.5/10=35/100=7/20
probability is 7/20

A cube has a volume of 1000 cubic feet. What us the edge length of the cube?

Answers

ok first we both know 10^3 is 1000 so then the answer would be there is also doing the cube root of 1000 which also =10

What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Answers

The value of cos(x/2) is required.

The required value is $\cos(x/2)=-\sqrt{(5-2√(5))/(10)}$

Trigonometry

The given value is

$\tan x=(1)/(2)$ where x is in quadrant III.

From trigonometricidentities we have

$\sec^2x=1+\tan^2x\n\Rightarrow \sec^2x=1+((1)/(2))^2\n\Rightarrow \sec^2x=(5)/(4)\n\Rightarrow \cos^(2)x=(4)/(5)\n\Rightarrow \cos x=(2)/(√(5))$

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrantIII so,

$\cos x=-(2)/(√(5))=-(2√(5))/(5)$

$\cos (x)/(2)=\pm \sqrt{(1+\cos x)/(2)}\n =\pm\sqrt{(1-(2√(5))/(5))/(2)}\n =\pm\sqrt{(5-2√(5))/(10)}$

Since, x/2 lies in the secondquadrant and cos (x/2) is negative.

The required value is $-\sqrt{(5-2√(5))/(10)}$

Learn more about trigonometry:

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Answer:

Step-by-step explanation:

What is the reference angle for 7pi/2

Answers

The reference angle is -90 deg or -pi/2

I think its 90 degrees

Find the value of c that makes each trinomial a perfect square.

Answers

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

x² + 12x + c

If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

12x/2 = 6x

-Divide by the square root of the first term

6x/x = 6

-Express the result to the second power

6² = 36

-Write the perfect square trinomial

(x² + 12x + 36) = (x + 6)²

How do you divide a fraction

Answers

It's always best to simply multiply by the reciprocal
For example:
$(2)/(3) / (3)/(4)$
The reciprocal basically means to "flip" the fraction so...
3/4 -----> 4/3
(Only flip ONE of the fractions not both of them...you can choose either fraction for flip you'd still get the same answer)
Now instead of a division problem we have a multiplication problem now our problem looks like this:
$(2)/(3) * (4)/(3)$
Now we simply multiply across
$(2*4=8)/(3*3=9)$
As you see above I multiplied across to get a final answer of
$(8)/(9)$

And that's how you divide a fraction.

5 6

7 8

do the reciprocal of 6/8 OR 5/7.
5 8 40 20/21
= and simplify
7 6 42

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