Which of the following polygons is a quadrilateral

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]

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Answer:

the point through which it passes i.e (1,5)

Answer:

(1,5)

Step-by-step explanation:

All points on the line is solution of the equation.

(1 ,5) is on the line and so it is the solution

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.

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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:

see the attachment photo!

Answer:

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

Answer:

108°

Step-by-step explanation:

From the diagram,

Angle X + Angle CXD = 180°

Angle X + 72° = 180°

Angle X = 180° - 72° = 108°

Answer:

The answer is Triangle C

Step-by-step explanation:

Considering the circle described, the height of the roller coaster is modeled by the following equation:

[tex]y = \sqrt{900 - x^2}[/tex]

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this problem, the roller coaster is represented by a circle centered at the origin, with radius 30, hence:

[tex]x^2 + y^2 = 30^2[/tex]

[tex]x^2 + y^2 = 900[/tex]

The height is the value of y, hence, considering it is a positive value:

[tex]y^2 = 900 - x^2[/tex]

[tex]y = \sqrt{900 - x^2}[/tex]

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Answer:

hmmm I get 216

Step-by-step explanation:

(10×7)+(6×8) the front n back triangle +(6×7)+(8×7)

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

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.

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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:

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|.

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:

6,010 mg

Step-by-step explanation:

1 gram = 1,000 milligrams that means

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

The shape of the resulting cross-section will be equal to the trapezoid.

A trapezoid is a quadrilateral having four sides whose two sides are parallel to each other and the other two sides are nonparallel to each other.

As it is given in the question the figure is sliced through points J. K. and When the shape is sliced from the given points it will create the trapezoidal shape that will have two parallel sides and the other two sides are Non-parallel

Therefore the shape of the resulting cross-section will be equal to the trapezoid.

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Answer:

Trapezoid

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 star and a thanks :)

Answer:

a. volume= 784 is the answer

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

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.

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Answer:   E) None of these

As you can see in the picture below, the line falls at around 66 degrees, so it can't be any of the given choices. If this answer turns out to be wrong, then it is probably B.

Hope this helps!

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°

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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

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

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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

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.

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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.

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