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3 years ago

Does the graph represent a function ? Why or Why not ?

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Answer:yes

Step-by-step explanation: the answer does represent a function because if you were to put points in the line wherever, and connect them by drawing a line vertically, it would not cross two points.

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If a cylinder has a volume of 1884 cubic centimeters and a height of six cm, explain how to find the radius of the

vitfil [10]

Answer:

10 cm

Step-by-step explanation:

The volume of the cylinder is 1884 cubic centimetres and its height is 6 cm.

The volume of a cylinder is given as:

$V = \pi r^2 h$

where r = radius

h = height

To find the radius of the base of the cylinder, we make r the subject of the formula and solve it:

$V = \pi r^2 h$

Divide both sides by πh:

$\frac{V}{\pi h} = \frac{\pi r^2h}{\pi h} \\\\=> \frac{V}{\pi h} = r^2$

Find the square root of both sides:

$\sqrt{\frac{V}{\pi h}} = \sqrt{r^2} \\\\=> r = \sqrt{\frac{V}{\pi h}}$

Let us find the value of r:

$r = \sqrt{\frac{1884}{\pi * 6}}\\\\r = \sqrt{99.9493} \\$

=> r = 9.9975 cm ≅ 10 cm

3 0

3 years ago

Find the coordinate of G' after a 90° counterclockwise rotation of the triangle about the origin.

ANEK [815]

Answer:

G'(1, 3)

Step-by-step explanation:

Counterclockwise rotation 90°: (x, y) ⇒ (-y, x)

So the point G is transformed to ...

... G(3, -1) ⇒ G'(1, 3)

4 0

3 years ago

I need help with this without links

schepotkina [342]

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

6 0

2 years ago

An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec

Anastaziya [24]

Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, $P(A)=45\%=0.45$

The probability of getting a microprocessor from firm B is, $P(B)=30\%=0.30$

The probability of getting a microprocessor from firm C is, $P(C)=25\%=0.25$

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, $P(D/A)=6\%=0.06$

Probability of producing a defective microprocessor from firm B is, $P(D/B)=7\%=0.07$

Probability of producing a defective microprocessor from firm C is, $P(D/C)=5.5\%=0.055$

Now, probability of having a defective microprocessor when selected at random is given as:

$P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%$

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

5 0

3 years ago

J= -2(3-k) make k the subject

lapo4ka [179]

Answer:

K=J+6/2

Step-by-step explanation:

J= -2(3-k)

simplify whats in the bracket

J= -6+2k

J+6=2k

Divide both sides by 2

J+6/2=2k/2

2 and 2 will cancel out

remaining K

So, Therefore K=J+6/2

Hope it Helped

3 0

2 years ago