four points are always coplanar if they: check all that apply.
A. lie in the same plane
B. lie on different lines
C. lie on different planes
D. lie on the same line

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

The rate of change is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

For function g at the interval [2,3], we have:

[tex]m = \frac{g(3) - g(2)}{3- 2}[/tex]

This gives

[tex]m = \frac{20 - 4}{3- 2}[/tex]

[tex]m =16[/tex]

For function h at the interval [0,2], we have:

[tex]m = \frac{h(2) - h(0)}{2- 0}[/tex]

Where:

h(2) = 3(3)^2 - 9 = 18

h(0) = 3(3)^0 - 9 = -6

This gives

[tex]m = \frac{18 + 6}{2 - 0}[/tex]

[tex]m = 12[/tex]

For function f at the interval [1,2], we have:

[tex]m = \frac{f(2) - f(1)}{2- 1}[/tex]

This gives

[tex]m = \frac{12 - 6}{2 - 1}[/tex]

[tex]m = 6[/tex]

Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

Read more about average rates of change at:

https://brainly.com/question/8728504

#SPJ1

If any constant is added in the variable of the function. Then the function will shift towards left. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

y = ∛(0.5 + x)

y = ∛x

If any constant is added in the variable of the function. Then the function will shift towards left.

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

Step-by-step explanation:

The statement describe g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function is option C; Translate the parent function 5 units down and 7 units to the right.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

The transformed function can be written as

y = ∛(x - 5) + 7

Where f(x) = ∛x, this is of the form

y = ∛(x - 5) + 7

These numbers in these places correspond to ...

The statement describe g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function is option C; Translate the parent function 5 units down and 7 units to the right.

Learn more about transforming functions here:

brainly.com/question/17006186

#SPJ5

Answer:

108°

Step-by-step explanation:

From the diagram,

Angle X + Angle CXD = 180°

Angle X + 72° = 180°

Angle X = 180° - 72° = 108°

Answer:

32 goldfish

Step-by-step explanation:

Given:

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

Answer:

f(4) = 1612

Step-by-step explanation:

using the recursive formula and f(1) = 3 , then

f(2) = f(1)² + 3 = 3² + 3 = 9 + 3 = 12

f(3) = f(2)² + 3 = 144 + 3 = 147

f(4) = f(3)² + 3 = 147² + 3 = 1609 + 3 = 1612

Step-by-step explanation:

(2x4 +7) + (5x4 - 4)

=(8+7) + (20-4)

=15+16

= 31

Hope it helps

Answer: Heyaa! ~

Your Answer is... 31!

Step-by-step explanation:

(2x4 +7) + (5x4 - 4) = 31/ 7x⁴+3

Hopefully this helps you ! ^^

Answer:

see the attachment photo!

Answer:

D) [tex]4256\pi\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi r h+2\pi r^2\\\\SA=2\pi(28)(48)+2\pi(28)^2\\\\SA=2\pi(1344)+2\pi(784)\\\\SA=2688\pi+1568\pi\\\\SA=4256\pi\:\text{cm}^2[/tex]

Answer:

Surface Area = 2πrh

= 2×π×28cm×48cm

= 2688πcm^2

Family background refers to the culture and tradition of the family into which a person is born.

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

Learn more about family background:https://brainly.com/question/7105836

#SPJ1

Step-by-step explanation:

B) Surface Area

C) Volume

Answer:

x = 10[tex]\sqrt{2}[/tex] , y = 10[tex]\sqrt{6}[/tex]

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{2}[/tex]

and

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{6}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{6}[/tex]

Answer:

if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k

x​

Step-by-step explanation:

Answer:

6,010 mg

Step-by-step explanation:

1 gram = 1,000 milligrams that means

(6+.01)*1000=6,010mg

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The sentence that correctly compares the two numbers 5.395 and 5.385 is 5.385<5.395. Hence, the correct option is D.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

Answer:

a. volume= 784 is the answer

Answer:

B.) f(x) = |x|  ,  g(x) = 9x + 2

Step-by-step explanation:

The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.

If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.

Answer:B.) f(x) = |x|  ,  g(x) = 9x + 2

Step-by-step explanation:

The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.

If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.

The amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.

A cuboid is a three dimensional shape , with 6 faces , each face is a rectangle.

The concrete can be considered as in the shape of a cuboid.

Length = 18

Breadth = 24'

Height = 4"

Volume of Cuboid = Length * Breadth * Height

Volume of the cuboid = 18 * 24 * 4 *12*12 *(0.0278)³

=5.34 cu.yard.

Therefore the amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.

To know more about Cuboid

https://brainly.com/question/19754639

#SPJ1

Answer:

12 just because I need the free credit things sorry this ain't gonna be helpful lol

In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°

It is the center of a line drawn from the center to an equidistant location. The space between the center and the periphery of a circle is measured in radius.

In a circle H with a measure of angle ∠GKJ = 27°.

Then the measure of angle ∠GHJ will be

We know that a chord's slope in the center is double that of the chord's slope at the perimeter.

Then we have

∠GHJ = 2 x ∠GKJ

∠GHJ = 2 x 27°

∠GHJ = 54°

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

The ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

From the question, we are to determine the function that the ratio of opposite to hypotenuse describes

By SOH CAH TOA

We have that

[tex]Sine = \frac{Opposite}{Hypotenuse }[/tex]

[tex]Cosine = \frac{Adjacent}{Hypotenuse }[/tex]

and

[tex]Tangent = \frac{Opposite}{Adjacent}[/tex]

Hence, the ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

Learn more on Trigonometry here: https://brainly.com/question/956353

#SPJ1

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

The time the investment lasted= 12 years.

Simple interest = 1579.05 - 800= $779.05

The principal capital= $800

Rate of the both capital invested;

= SI × 100/P ×T

= 779.05 × 100/800 × 12

= 77,905/9600

= 8.11%

To find the amount of money that Phyllis invested at each given rate,

Rate 1 = 4/8.11× 800

= 3200/8.11

= $394.57

Rate 2 = 6/8.11× 800

= 4800/8.11

= $591.86

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ

Answer:

[tex]f(x)=-x^2[/tex]

Step-by-step explanation:

Vertex form of a quadratic function:

[tex]f(x)=a(x-h)^2+k[/tex]

where:

If the vertex is at the origin, then (h, k) = (0, 0)

[tex]\implies f(x)=a(x-0)^2+0[/tex]

[tex]\implies f(x)=ax^2[/tex]

Comparing this with the answer options suggests that the function with a vertex at the origin is [tex]f(x)=-x^2[/tex]

Answer:

Step-by-step explanation:

Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.

__

Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...

The value of x is zero in the year 2000, so the population that year is ...

  p(0) = a = 78,500

The increase per year is the value of 'b' with 1 subtracted:

  growth rate = 2% per year

Answer:

272 c

Step-by-step explanation:

Roses by 4 every hour

10 to 1 can be represented in 24 hour time as 10 to 13

13 subtract 10 is 3

3 multiplied by 4 is 12

260 add 12 is 272 c

Answer:

The answer is Triangle C

Step-by-step explanation: