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2 years ago

Please Help ALGEBRAIC FRACTIONS Pre-test

Mathematics

1 answer:

elena55 [62]2 years ago

3 0

Answer:

-x with an exponent of 2 + y with an exponent of 2

Step-by-step explanation:

good luck

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The diagram shows a sketch of a survey done by a civil engineering student .Find the value of x,giving your answer correct to 1

Hatshy [7]

You can do this by drawing one line through parallel to PQS to meet RQ at T

Now calculate length of RT:-

cos 70 = RT / 70 giving RT = 23.94m

sin 70 = ST/70 giving ST = 65.78 m

draw a line from S perpendicular to PQ to meet PQ at U.

PU = 110 - 65.78 = 44.22 m

tan 50 = SU / 44.22 giving SU = 52.70 m

TQ = SU = 52.70 m

So x = TQ + RT = 52.70 + 23.94 = 76.6 m to 1 dec place.

7 0

2 years ago

A chemist examines 12 sedimentary samples for bromide concentraction. The mean bromide concentration for the sample date is 0.43

Umnica [9.8K]

Answer:

a) $z = 1.645$

b) Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

Step-by-step explanation:

Population is approximately normal, so we can find the normal confidence interval.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$ . This is the critical value, the answer for a).

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{0.0325}{\sqrt{12}} = 0.015$

The lower end of the interval is the sample mean subtracted by M. So it is 0.437 - 0.015 = 0.422cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.437 + 0.015 = 0.452 cc/m³.

Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

4 0

3 years ago

Find the equation of the line passing through the points (5,21) and (-5,-29)

Assoli18 [71]

Answer:

Look below

Step-by-step explanation:

lets have -29 be y2 and -5 be x2

21 - (-)29

5 - (-)5

Subtracting a negative is just adding it so

21 + 29 50
5 + 5 10

50/10

this simplified, is 5/1 or 5

y=5x+b

now we need to find b, so we substitute y and y

x = 5

y = 21

21=5*5=b

5*5 is 25

now we need to get to 21

25 -4 is 21

b = -4

y=5x-4

3 0

2 years ago

Simplify 7 – (–12) – 5

kherson [118]

Answer:

Step-by-step explanation:

1. Do the "Two Mark" Rule

- 7 + (+12) - 5

2. Do your addition before subtracting

- 7 + 12 = 19

3. Subtract your remaining two numbers

- 19 - 5 = 14

5 0

3 years ago

Select the works written by Augustine of Hippo.

Alex73 [517]

Answer:

Consolation of Philosopy..

5 0

3 years ago