A ball is dropped from a window 24 m high. How long will it take to reach the ground? Acceleration is 9.8 m/s^2 because of gravity. PLS SHOW WORK

Answers

Answer 1

Answer:

0.638 seconds

Step-by-step explanation:

Since the ball is being dropped from a height of 24 meters, the equation will look like this:

24=9.8/s^2.

This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.

Solve the equation:

24(s^2)=9.8

(s^2)=0.408

s^2=0.408

root the number:

0.638

you can round it to the nearest whatever it's asking you to round it to

Im not an expert, so please excuse me if it's not done correctly


Related Questions

Which set of ordered pairs represents a function?
{(-3,4), (-7,2), (-7,-4),(-9, -5)}
{(-2,4), (0,5),(-9,9),(-9,7)}
{(-4,-6), (-7, -5),(-4,-7), (1,1)}
{(5,-2), (-8,-6),(4, -2), (-6,3)}​

Answers

Answer:

The correct answer is D.

Step-by-step explanation:

A function is when an input value has only one output value.

It cannot be A, because -7 produces both 2 and -4.

It cannot be B, because -9 produces both 9 and 7.

It cannot be C, because -4 produces both -6 and -7.

Therefore, it has to be D.

A submarine is only allowed to change its depth be Racing toward the surface in 60 meter stages. If the submarine starts off at 340 meters below sea level, what is its depth after 4 stages of rising to surface

Answers

Answer:

[tex]Depth = 100m[/tex]

Step-by-step explanation:

Given

Initial Level = 340 m

Number of stages = 4

Difference in each stage = 60 m

Required

Determine the depth of the submarine after 4 stages

First, we have to calculate the total distance moved towards the surface of the sea;

This is calculated as

[tex]Total\ Distance = Number\ of\ Stages * Difference\ in\ each\ stage[/tex]

[tex]Total\ Distance = 4 * 60m[/tex]

[tex]Total\ Distance = 240m[/tex]

This implies that the submarine moved a total distance of 240 metres;

It;'s new depth is calculated as follows;

[tex]Depth = Initial\ Depth - Total\ Distance[/tex]

[tex]Depth = 340m - 240m[/tex]

[tex]Depth = 100m[/tex]

Hence, its new depth after 4 stages of rising is 100m

Which letter of the alphabet is next in the series?
JOTYD
(A) I (B) J (C) K (D) L

Answers

Answer:

(A) I

Step-by-step explanation:

With the numbers, I can correspond to a series of numbers to one of the 26 letters of the English language. Like the Roman numeral system, a number adds if the next one in the sequence is smaller, and vice versa if it is larger. Combining the structure of the Roman numerals with the numbers 1, 2, 5, 10, and 20 makes it so that you never have to use more than 3 numbers to express a letter.

Answer: it is (A)

Step-by-step explanation:

PLEASE HELP! Manufacturers often alter different packages to save money and to grab customers attention. Explain using an example, how changes in the dimensions of common geometric shapes will affect the volume of the following shapes: prisms, cylinders, cones and spheres.

Answers

Answer:

An example of a prism could be a an amazon box to represent a rectangular prism.  As the height, length, or width of the box increases, the volume increases allowing more items to fit within the box.

An example of a cone would be an ice cream cone.  As the height or the radius of the cone increases, the more volume the cone can hold, meaning more ice cream for you.

An example of a cylinder could be a cup.  As the height or the radius of the cup increases, the larger the volume.  More drink for you.

An example of a sphere would be a soccer ball.  As the radius increases, the volume of the ball increases.  Hence, larger soccer balls have a bigger radius than smaller soccer balls.  This allows for different varients of the ball to be created (i.e., youth, highschool, college, pro).

Note, the volume can also be decreased by simply shrinking the measurements instead of increasing them.

Step-by-step explanation:

Let's simply look at the equations of each shape.

Volume of a prism = base * height

Volume of a cone = Pi * r^2 * (height/3)

Volume of a cylinder = Pi * r^2 * height

Volume of a sphere = (4/3) Pi r^3

Notice that the volumes of prisms, cones, and cylinders directly correlate to height.  As height increases, the volume increases.  The sphere is unique in that the height is 2 * radius; however, the volume is related to the cube of the radius.  Consider if you expanded the radius of the sphere, the volume will increase.

Answer:

Increase or decrease the dimensions of objects. See below for an explanation!

Step-by-step explanation:

An amazon box, which is a rectangular prism, is an example of a prism. If you increase the height, length, or width of the box, you can fit more stuff inside.

A cup is an example of a cylinder; by increasing the height or radius of the cup, you can fit more of a drink inside.

An icecream cone is an example of a cone; if the height or radius were increased, you might fit more ice cream inside.

A soccer ball is an example of a sphere; increasing the radius makes it larger, and various sizes are available for different levels.

You may also shrink the dimensions for each of these objects to make them smaller.

Hope this helps!

For each of the following system of linear equations, state the number of solutions without solving the system. a) -x+3y=9, -4x+12y=12 b) 2x-y-4=0,6x=3y+12

Answers

Answer:

a) ONE SOLUTIONb) INFINITE SYSTEM OF SOLUTIONS

Step-by-step explanation:

Given the system of equations;

a) x+3y=9

-4x+12y=12

This equation is a linear simultaneous equation with 2 equations and two unknown values. When the number of equations given is equal to the number of unknown variables, this means that the solution sets of the equations are unique and real and will provide us with just one solution.

b) For the system of linear equation

2x-y-4=0 .... *3

6x=3y+12  ... *1

First lets multiply equation 1 by 3, om multiplying by 3 we will have;

6x-3y-12 = 0

6x-3y = 0+12

6x-3y = 12

Rearranging equation 2 will give;

6x - 3y = 12

It is seen that both equation ate the same. This means that what we have is one equation with two unknowns. For a system of equation with one equation and two unknowns, there will be infinite number of solutions after solving the equation. Hence, the number of solutions for this system of equation is INFINITE

i attached the question in the image below

Answers

Answer:

45°

Step-by-step explanation:

[tex]tan^{-1}(1)[/tex] = 45°

Answer:

[tex]\huge\boxed{\theta=45^o\ \vee\ \theta=225^o}[/tex]

Step-by-step explanation:

[tex]\tan\theta=1[/tex]

[tex]\bold{METHOD\ 1}\\\\\text{Use the table in the attachment}\\\\\tan45^o=1\to\theta=45^o\ \vee\ \theta=45^o+180^o=225^o\\\\\bold{METHOD\ 2}\\\\\tan\theta=1\to\tan^{-1}1=\theta\to\theta=45^o\ \vee\ \theta=225^o[/tex]

Find the area in square centimeters of the composite shape shown
below. Enter only a number as your answer.
A
E
13 cm
D
11 cm
7 cm
B
18 cm
C

Answers

Answer:

73cm²

Step-by-step explanation:

Area of rectangle=½ length×width

=½×18×7

=63cm²

Area of triangle=½b×h

base=18-13= 5cm

height=11-7 =4cm

½×b×h

½×5×4

=10cm²

Area of total=63+10

73cm²

Answer: 73c2

Step-by-step explanation:

Zero product property

x(2x+4)(x+5)=0

A) x=0, x=-2, X=-5
B) x=0, x=2, x=5
C) x greater than or equal to 0
D) x=-2, x=5

Answers

Answer:

A

Step-by-step explanation:

Using ZPP we get x = 0, 2x + 4 = 0, x + 5 = 0. Solving these, we get x = 0, x = -2, x = -5.

2x^2+4(x+5)=0
2x^3+10x^2+2x^3+20=0
4^2+10x^2+20=0

does not
Ether.
1-36. If y varies directly with x and y is 12 when x is 4, then
what is y when x is 8?
what is when x is 3?
what is x when y is 6?
a.
b.
n.
C.

Answers

Answer:

Step-by-step explanation:

Hello!

Y varies directly with X, meaning that every time X increases/ decreases, the value of Y is modified.

If Y=12 when X=4 then you can say that Y varies 3 times every time X varies 1 unit

12= 4*z

z=12/4= 3

So Y= 3x

With this in mind:

1) x= 8

Y= 3*8= 24

2) x= 3

Y= 3*3= 9

3) Y= 6

Y= 3x

x=Y/3= 6/3= 1

I hope this helps!

Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny eats 1/6 of her cake. How much cake is left? please show working thank youu

Answers

Answer:

[tex]\frac{7}{12}[/tex] of the cake

Step-by-step explanation:

add [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{6}[/tex] to see the total amount of cake eaten.

a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24

b. multiply accordingly to get the correct numerator: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex]

c. add: [tex]\frac{3}{24}[/tex] + [tex]\frac{4}{24}[/tex] = [tex]\frac{7}{24}[/tex]

subtract found value from total to find left over cake.

a. 24 - 7 = 14

simplify.

a. [tex]\frac{14}{24}[/tex] = [tex]\frac{7}{12}[/tex]

You are left with [tex]\frac{7}{12}[/tex] of the cake.

Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

Answers

Answer:

b=4

Step-by-step explanation:

So, we have the function [tex]f(x)=1/x[/tex]. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8[/tex]

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

[tex]\frac{.5b-1}{2b-b^2} =\frac{-1}{8}[/tex]

Now, cross multiply.

[tex]4b-8=b^2-2b[/tex]

[tex]b^2-6b+8=0[/tex]

Solve for b. Factor using the numbers -4 and -2.

[tex]=(b-4)(b-2)=0[/tex]

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

We want to find an interval such that the given equation, f(x) = 1/x, has an average rate of change of -1/8 in that interval.

We will see that the interval is [2, 4]

-------------------------------

For a function f(x), the average rate of change in the interval [a, b] is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Here we have:

[tex]f(x) = 1/x[/tex]

And the interval is [2, b] such that r in that interval is -1/8, so we need to solve:

[tex]r = -1/8 = \frac{f(b) - f(2)}{b - 2} = \frac{1/b - 1/2}{b - 2}[/tex]

We can rewrite it to:

[tex]-1/8 *(b - 2)= 1/b - 1/2\\\\-1/8 *(b - 2)= 2/2b - b/2b = (2 - b)/2b = -(b - 2)/2b[/tex]

Now we can remove the term (b - 2) because it appears on both sides, so we get:

[tex]-1/8 = -1/2b\\1/8 = 1/2b\\2/8 = 1/b\\1/4 = 1/b\\b = 4[/tex]

Then we found that b must be equal to 4, so the interval is [2, 4]

If you want to learn more, you can read:

https://brainly.com/question/23483858

ASAP!!! Please help me with this question!!!!!

Answers

r = radius

h = r+12 = height, 12 more than the radius

[tex]V = \text{Volume of cone (oblique or not)}\\\\V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*r^2*(r+12)\\\\V = \frac{1}{3}\pi*r^2*r+\frac{1}{3}\pi*r^2*12\\\\V = \frac{1}{3}\pi*r^3+\frac{1}{3}*12\pi*r^2\\\\V = \frac{1}{3}\pi r^3+4\pi r^2\\\\[/tex]

Answer: Choice B

ANSWER: SECOND OPTION

He Perimeter of a
regular decagon is 328cm
stake the length of one of its
sides

Answers

Answer:

32.8 cm

Step-by-step explanation:

decagons have 10 sides, so 328/10=32.8

Answer:

32.8 cm

Step-by-step explanation:

A regular decagon has 10 equal sides.

The perimeter of the decagon is 328 centimeters. The perimeter is the measure of all 10 sides added together. Since this is a regular decagon, all 10 sides are equal. Therefore, we can divide 328 by 10.

328 / 10

32.8

Add units, in this case, centimeters or cm.

32.8 cm

Each side of the decagon is 32.8 centimeters.


Marta Fuentes had a balance of $1,200.50 in her checking account. The bank issued her a credit of
$505 and charged her $12 for new checks. Thee will be no outstanding checks or deposits. What
should her checkbook balance be?

Answers

Answer:

$683.50

Step-by-step explanation:

Initial balance of Marta Fuentes  = $1200.50

Charge made by her bank;

Credit of $505 and Charge on new checks is $12.

Total charge incurred = $505+$12

Total charge incurred = $517

Since there will be no outstanding checks or deposit, her checkbook balance will be the difference between the initial balance and amount charged by the bank.

Checkbook balance = $1200.50 - $517

Checkbook balance = $683.50

Hence her checkbook balance should be $683.50

Find the equation of the line.

Answers

Answer:

y = [tex]-\frac{1}{3}x+5[/tex]

Step-by-step explanation:

Let the equation of the given line is,

y = mx + b

where 'm' = slope of the line

b = y-intercept of the line

Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is represented by,

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

If the points are (0, 5) and (-3, 6),

Slope of the line 'm' = [tex]\frac{6-5}{-3-0}[/tex]

                                 = [tex]-\frac{1}{3}[/tex]

y-intercept of the line 'b' = 5

Therefore, equation of the given line will be,

y = [tex]-\frac{1}{3}x+5[/tex]

pleaz!!! some body help with number #4 at the bottom

Answers

Answer:

See my explanation

Step-by-step explanation:

-2x + (x - 4) = 18

-x - 4 = 18

-x = 22          <- this is wrong in question writing as x = 22

so, x = -22

Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x= y=

Answers

Answer:

x = 10 units, y = 5 units

Step-by-step explanation:

Given triangle ABC is a 30-60-90 triangle,

m∠C = 60°

By applying Sine rule in the given triangle,

Sin(60)°= [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

Sin(60)° [tex]=\frac{\text{AB}}{\text{AC}}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{\text{AB}}{\text{AC}}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{x}[/tex]

x = 10 units

Similarly, by applying Cosine rule in the given triangle,

Cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

Cos(60)° = [tex]=\frac{\text{BC}}{\text{AC}}[/tex]

[tex]\frac{1}{2}=\frac{y}{x}[/tex]

y = [tex]\frac{x}{2}[/tex]

y = 5 units

Therefore, x = 10 units and y = 5 units will be the answer.

: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2

Answers

Answer:

[tex]x=0\\y=2[/tex]

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

[tex]-x+3y=6\\x+y=2[/tex]

En este caso podemos observar que x y -x son iguales y de signo contrario así que no tendremos que multiplicar y podemos sumar ambas ecuaciones.

Al sumarlas tenemos que:

[tex]4y=8\\y=2[/tex]

Ahora sustituímos el valor que encontramos de y en la segunda ecuación para poder obtener el valor de x.

[tex]x+y=2\\x+2=2\\x=2-2\\x=0[/tex]

Por lo tanto, x = 0 y y = 2

The formula for working out the cost of hiring a canoe is : cost=£15+6* number of hours. Megan paid £27 to hire a canoe. How long did she hire the canoe for

Answers

Answer:

Megan hired the canoe for 2 hours

Step-by-step explanation:

Given:

Cost(h) = 6h+15 = 27

Solution

6h+15 = 27

6h = 27-15 = 12

h = 2

Ginnie plans to paint a wall. She measures its height and width. She finds that she needs enough paint to cover 8 square meters. Which measurement does 8 square meters represent?

Answers

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.


[tex](5mn^3)^{3} [/tex]

Answers

Answer:

[tex]125m {}^{3}n {}^{6} [/tex]

Step-by-step explanation:

Since

[tex]a {}^{b} \times a {}^{c} = a {}^{b + c} [/tex]

[tex](5mn {}^{3} ) {}^{3} = (5) {}^{3}(m) {}^{3} (n {}^{3}) {}^{3} = 125m {}^{3}n {}^{3 + 3} = 125m {}^{3}n {}^{6} [/tex]

Hope this helps :) ❤❤❤

Answer:

[tex]125m^3n^9[/tex]

Step-by-step explanation:

[tex](a*b)^n=a^nb^n\\\\(5mn^3)^3=5^3m^3(n^3)^3\\\\125m^3(n^3)^3\\\\(a^b)^c=a^{bc}\\\\\rightarrow (n^3)^3=n^{3*3}=n^9\\\\\boxed{125m^3n^9}[/tex]

Brainilest Appreciated.

The tennis club is selling water bottles and hats to raise money for tennis tournament a water bottle cost four dollars and a hat cost six dollars the club wants to raise $1200 Graph the linear equation Write three ordered pairs(x,y) that exist on the line

Answers

Answer with explanation:

Given: A water bottle cost 4 dollars and a hat cost 6 dollars.

Let x = Number of water bottles

y = Number of hats

The club wants to raise $1200.

i.e. Required equation : 4x+6y=1200

At x=0,

[tex]0+6y=1200\Rightarrow\ y=\dfrac{1200}{6}\Rightarrow\ y=200[/tex]

At x= 300

[tex]4(300)+6y=1200\\\Rightarrow\ 1200+6y=1200\Rightarrow\ 6y=0\Rightarrow y=0[/tex]

At x= 240

[tex]4(240)+6y=1200\\\Rightarrow\ 960+6y=1200\Rightarrow\ 6y=240\Rightarrow y=40[/tex]

So,three ordered pairs(x,y) that exist on the line : (0,200), (300,0) and (240,40)

Plot these point on graph and join them.

Answer: the other guy is correct. Got it right on my test. Have a nice day. :|

Step-by-step explanation:

Which describes how square S could be transformed to square S prime in two steps? Assume that the center of dilation is the origin. On a coordinate plane, square S has points (0, 0), (5, 0), (5, negative 5), (0, negative 5). Square S prime has points (0, 1), (0, 3), (2, 3), (2, 1). a dilation by a scale factor of Two-fifths and then a translation of 3 units up a dilation by a scale factor of Two-fifths and then a reflection across the x-axis a dilation by a scale factor of Five-halves and then a translation of 3 units up a dilation by a scale factor of Five-halves and then a reflection across the x-axis

Answers

Answer:

The correct option is;

A dilation by a scale factor of Two-fifths and then a translation of 3 units up

Step-by-step explanation:

Given that the coordinates of the vertices of square S are

(0, 0), (5, 0), (5, -5), (0, -5)

Given that the coordinates of the vertices of square S' are

(0, 1), (0, 3), (2, 3), (2, 1)

We have;

Length of side, s, for square S is s = √((y₂ - y₁)² + (x₂ - x₁)²)

Where;

(x₁, y₁) and (x₂, y₂) are the coordinates of two consecutive vertices

When (x₁, y₁) = (0, 0) and (x₂, y₂) = (5, 0), we have;

s = √((y₂ - y₁)² + (x₂ - x₁)²) = s₁ = √((0 - 0)² + (5 - 0)²) = √(5)² = 5

For square S', where (x₁, y₁) = (0, 1) and (x₂, y₂) = (0, 3)

Length of side, s₂, for square S' is s₂ = √((3 - 1)² + (0 - 0)²) = √(2)² = 2

Therefore;

The transformation of square S to S' involves a dilation of s₂/s₁ = 2/5

The after the dilation (about the origin),  the coordinates of S becomes;

(0, 0) transformed to (remains at) (0, 0) ....center of dilation

(5, 0) transformed to (5×2/5, 0) = (2, 0)

(5, -5) transformed to (2, -2)

(0, -5) transformed to (0, -2)

Comparison of (0, 0), (2, 0), (2, -2), (0, -2) and (0, 1), (0, 3), (2, 3), (2, 1) shows that the orientation is the same;

For (0, 0), (2, 0), (2, -2), (0, -2) we have;

(0, 0), (2, 0) the same y-values, (∴parallel to the x-axis)

(2, -2), (0, -2) the same y-values, (∴parallel to the x-axis)

For (0, 1), (0, 3), (2, 3), (2, 1) we have;

(0, 3), (2, 3) the same y-values, (∴parallel to the x-axis)

(0, 1), (2, 1) the same y-values, (∴parallel to the x-axis)

Therefore, the lowermost point closest to the y-axis in (0, 0), (2, 0), (2, -2), (0, -2) which is (0, -2) is translated to the lowermost point closest to the y-axis in (0, 1), (0, 3), (2, 3), (2, 1) which is (0, 1)

That is (0, -2) is translated to (0, 1) which shows that the translation is T((0 - 0), (1 - (-2)) = T(0, 3) or 3 units up

The correct option is therefore a dilation by a scale factor of Two-fifths and then a translation of 3 units up.

Answer:

a

Step-by-step explanation:

PLSSSS HELPPP. The price of a tennis racquet is inversely proportional to its weight. If a 20 oz. racquet cost $30.00, what would a 25 oz. racquet cost?

Answers

Answer:

$24 will be the cost of tennis racquet with weight 25 oz.

Step-by-step explanation:

Given that Price of racquet is inversely proportional to its weight.

i.e.

[tex]Price \propto \dfrac{1}{Weight}[/tex]

We can replace the proportional sign with a constant of proportionality.

[tex]Price = \dfrac{C}{Weight}[/tex]

Where C is a constant named as constant of proportionality.

Given that cost of 20 oz. racquet is $30.00

Putting both the values :

[tex]30 = \dfrac{C}{20}\\\Rightarrow C = 600[/tex]

So, the equation becomes:

[tex]Price = \dfrac{600}{Weight}[/tex]

Now, we have to find the price of 25 oz. racquet.

Putting Weight = 25 oz and finding Price:

[tex]Price = \dfrac{600}{25}\\\Rightarrow Price = \$24[/tex]

So, $24 will be the cost of tennis racquet with weight 25 oz.

the product of two rational number is -10/9. If one of the number is -5/27 ,find the other.

Answers

Answer:

Step-by-step explanation:

Let the unknown number = x

[tex]x *\frac{-5}{27}=\frac{-10}{9}[/tex]

x = [tex]\frac{-10}{9}[/tex] ÷ [tex]\frac{-5}{27}[/tex]

[tex]x=\frac{-10}{9}*\frac{-27}{5}\\\\\\x=-2* - 3\\x = 6[/tex]

Please Answer The Mean! {NO EXPLANATION NEEDED!} <3

Answers

total frequency divided by no. of goals

30 ÷ 5

6

Select the correct answer. Compare the two functions.
-
Which statement is true?
A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At x = 2, the rate of change of g(x) is equal to the rate of change of f(x).
D. On every interval of x, the rate of change of f(x) exceeds the rate of change of g(x).

Answers

Answer: Choice A) as x increases, the rate of change of f(x) exceeds the rate of change of g(x)

In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.

Choice B is false as it contradicts choice A.

Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change

Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.

Answer:

A

Step-by-step explanation:

True or False? All equiangular triangles are similar.

Answers

Answer:

True

Step-by-step explanation:

All equiangular triangles are similar.

Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?

Answers

Answer:

y = [tex]\frac{1}{2} x - 3[/tex]

x + y = 18

Step-by-step explanation:

Let the kitten's weight be y and the cat's weight be x

Condition # 1:

y = [tex]\frac{1}{2} x - 3[/tex]

Condition # 2:

x + y = 18

precalc! how do you solve by completing the square? i have 2 examples! (17 & 18 please) tysm <3

Answers

Answer:

17) x = 11, -8

18) exact form: x = + 2 sqaure root 6/ 3 + 2

I hope this helps :)

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