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3 years ago

determine whether each relation is a function. State the domain and range of the relation. (-1,2)(1,-2)(3,-4)(-3,4)

Mathematics

1 answer:

Yanka [14]3 years ago

6 0

Answer:

Domain is the x and the range is the y, that being said, 1) domain: 1,3,5 range: 2,4,6

2) you need to solve for x then plug x in and solve for y when solving for x you can plug in a number like 1

3) same circumstance as number 2!

Hope this helped!

Step-by-step explanation:

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A cone has a diameter of 8 units and a height of 8 units. units, and its volume is Its radius is volume of cubic units. If a sph

aev [14]

The above question is not complete because it was not written and arranged properly

Complete Question

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder. Answer: 1) Volume of the cone = 134.04cubic units

2)Volume of the cylinder = 402.12cubic units

3) Volume of the sphere= 268.08 cubic units. Hence, if a sphere has the same radius as the cylinder, its volume is 2/3 times the volume of the cylinder.

Step-by-step explanation:

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

Volume of a cone = 1/3πr²h

h = 8 units

r = 4 units

Volume = 1/3 × π × 4² × 8

134.04cubic units

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

Volume of a cylinder = πr²h

Height and radius is the same as that of the cones hence,

h = 8 units

r = 4 units

= π × 4² × 8

= 402.12cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.

Volume of a Sphere = 4/3πr³

r = radius of the cylinder = 4 units

Volume of a Sphere = 4/3 × π × 4³

= 268.08 cubic units.

From the above question, we are asked to compare the volume of the sphere with the volume of the cylinder

Volume of the sphere : Volume of the cylinder

268.08 cubic units : 402.12 cubic units

268.08/402.12 = 2/3

Therefore, the volume of the sphere is 2/3 times the volume of the cylinder

6 0

2 years ago

Use natural logarithms to solve each equation.<br> e x+1=30

yanalaym [24]

2.4012 is the value of x after solving equation $e^{x+1}$ = 30 using natural logarithms

We have been asked to solve $e^{x+1}$ = 30 using natural logarithms

⇒ $e^{x+1}$ = 30

⇒ x + 1 = ㏑ 30

⇒ x = ㏑ 30 - 1

≈ 2.4012

<h3>What is a natural logarithm?</h3>

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

The power to which e would need to be raised in order to equal x is the natural logarithm of x.

For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.

Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.

Learn more about natural logarithm

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<h3>Correct Question</h3>

Use natural logarithms to solve each equation.

$e^{x+1}$ = 30

4 0

1 year ago

Refer to the Scheer Industries example in Section 8.2. Use 6.84 days as a planning value for the population standard deviation.

Talja [164]

Answer: a) 80 b) 32

Step-by-step explanation:

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Standard deviation : s =6.84

Margin of error : E= 1.5

The formula to find the sample size is given by :-

$n=(\dfrac{z_{\alpha/2}\ \sigma}{E})^2$

i.e. $n=(\dfrac{(1.96)(6.84)}{1.5})^2=79.88069376\approx80$

Hence, the required minimum sample size = 80

b) Given : Significance level : $\alpha=1-0.90=0.10$

Critical value : $z_{\alpha/2}=1.645$

Standard deviation : s =6.84

Margin of error : E= 2

The formula to find the sample size is given by :-

$n=(\dfrac{z_{\alpha/2}\ \sigma}{E})^2$

i.e. $n=(\dfrac{(1.645)(6.84)}{2})^2=31.65075081\32$

Hence, the required minimum sample size =32

6 0

4 years ago

Eduardwww [97]

7/8 or .875, that’s what I got

6 0

4 years ago

Read 2 more answers

What is the row conditional relative frequency for males who play basketball?

eduard

we know that

To obtain a conditional relative frequency, divide a joint frequency (count inside the table) by a marginal frequency total (outer edge) that represents the condition being investigated

In this problem

the row conditional relative frequency for males who play basketball is

15 is the total male that play basketball

and 31 is the total male and female that play basketball

the ratio is the conditional relative frequency

7 0

1 year ago