Students in Mr. Taylor's physics class conducted an experiment by dropping a basketball from a height of 40 feet and then recording the ball’s height after each bounce. The ball climbed to a height of 20 feet after the first bounce, and 10 feet after the second bounce. If this pattern continues, how many feet high will the ball climb after the third bounce? Input the answer using numbers only.

Answer:

please mark my answer as the brainliest

Step-by-step explanation:

AREA = 1/2 * (b1+b2)h

A = 1/2 * (8+18)13.5

therefore area = 175.5cm^2

Answer:

Area = 1/2 * (B1+B2)hH

A = 1/2 * (8+18)13.5

Therefore the area = 175.5cm^2

Answer:

5 = a

Step-by-step explanation:

Use the model y - k = a(x - h)^2, where (h, k) represents the vertex.  Here we have:

y + 2 = a(x - 3)^2

Now substitute 4 for x and 3 for y:  

3 + 2 = a(4 - 1)^2, or     5 = a

Answer: i think the answer is 1.5

Step-by-step explanation:

Answer:

The value of x = 9 units

Step-by-step explanation:

The complete question is attached to this solution.

The perimeter of a rectangle is given as

P = 2 (L + B)

L = Length of the rectangle = 3x - 1

B = Breadth of the rectangle = 2x + 3

P = Perimeter of the rectangle = 94 units

94 = 2 [(3x - 1) + (2x + 3)]

3x - 1 + 2x + 3 = (94/2) = 47

5x + 2 = 47

5x = 47 - 2 = 45

5x = 45

x = (45/5) = 9 units

Hope this Helps!!!

Answer:

b<-2

Step-by-step explanation:

4-2b > (6-b)

4-2b > 6-b

-4 +b   -4 +b

    -b > 2

    /-1   /-1

     b < -2

Answer:

b<−2

Step-by-step explanation:

Answer:

2x-6

Step-by-step explanation:

g[f(x)]

g(3-x)

-2x(3-x)

2[tex]x^{2}[/tex]-6x

2x-6

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]

Also

[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

I think you mean [tex]210x^6y^4[/tex]

We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].

For [tex]k=5[/tex]

[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]

For [tex]k=6[/tex]

[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]

Answer:

C

Step-by-step explanation:

The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is

∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!

Answer:

C

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity

Answer:

b

Step-by-step explanation:

to solve a problem like this you need to set up a proportion

45% is a percent(obviously) so you put 45 over 100 because percent's are fractions of 100

the key word is the word is. i don't kow about anyone else but i was taught is over of(is/of)

this means 27 is the numerator

27/x=45/100

Answer:

x=1/5n

a=1/5(90)*100

The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

Answer:

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]  and [tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]  and [tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Step-by-step explanation:

Domain is the set of input values or x-values.

Range is the set of output values or y-values.

According to the relation mapping diagram, the relation is

[tex]R_1=\{(-2,-3),(-2,-1),(0,0),(2,0),(4,-3)\}[/tex]

So,

[tex]\text{Domain of}R_1=\{-2,0,2,4\}[/tex]

[tex]\text{Range of}R_1=\{-3,-1,0\}[/tex]

In the graph 5 points are plotted. So, the relation is  

[tex]R_2=\{(-3,1),(-1,-1),(0,0),(3,2),(3,3)\}[/tex]

So,

[tex]\text{Domain of}R_2=\{-3,-1,0,3\}[/tex]

[tex]\text{Range of}R_2=\{-1,0,1,2,3\}[/tex]

Answer:

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

Answer:

The width is 4 inches

Step-by-step explanation:

Represent the length and width by L and W respectively.  Then L = W + 1.

According to the Pythagorean Theorem, the diagonal length is

D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.

Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.

Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0.  Then W - 4 = 0, and W (the width) is 4.  Then L = 5.

The width is 4 inches.

Answer:

10 kilograms

Step-by-step explanation:

The mean of any data set is all the numbers added up divided by the amount of points.

[tex]3+2+26+9=40\\40\div4 = 10[/tex]

Hope this helped!

Answer:

10

Step-by-step explanation:

The mean is another word for average.  Add up all the numbers and divide by the number of terms

( 3+2+26+9) /4

40 /4

10

The mean is 10

Answer:

bd=24

Step-by-step explanation:

I believe you would have to set up a proportion. 32/19.2=15.0/x. cross multiply 19.2 and 15 to get 288. then divide by 32 to get qd=9. then add qd and bq to get 24.

Answer:

The correct answer is D: LL ( Leg-Leg Congruence)

Step-by-step explanation:

Theorem 4.6 Leg -Leg Congruence said that if the legs of one right triangles are congruent to the corresponding legs of another right right, then the triangles are congruent.

So in this case we can tell that both triangle are congruent by Leg-Leg Congruence due to the tick marks we have on both of the legs on the two triangles.

Answer:

The answer is LL

Step-by-step explanation:

thats what i got

Answer:

Any negative number and 0 works for the expression.

Step-by-step explanation:

Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.

Let's try a random positive number in the expression

[tex]|6| = -(6)\\6 \neq -6[/tex]

So this positive number doesn't work, let's just test with another one.

[tex]|9| = -(9)\\9 \neq -9[/tex]

So we know that positive numbers won't work with this expression.

Let's test 0 quickly, just to make sure.

[tex]|0| = -0\\0 = 0[/tex]

So 0 works.

Let's try a few negative numbers now.

[tex]|-5| = -(-5)\\5 = 5[/tex]

So yes, this does work. Let's try one more negative number.

[tex]|-120| = -(-120)\\120 = 120[/tex]

This works. So, every negative number and 0 work with this equation.

Hope this helped!

Answer:

|a|=−a is true only if a is negative or zero

Step-by-step explanation:

Recall that absolute values are always 0 or positive.  

|a|=−a is true only if a is negative or zero.

Answer:

We start with y = g(x) = f(x)

First, we have a vertical stretch by a factor of 2.

A vertical strech by a factor of A will be g(x) = A*f(x)

then in this case A = 2, so we have g(x) =  2*f(x)

Now we have it shifted left by 8 units.

We know that f(x - A) shift right the graph by A units (A positive), here A = 8.

then we have: g(x) =  2*f(x - 8)

Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)

Then we have: g(x) =  2*f(x - 8) + 3

now, our function was f(x) = Log₅(x)

then g(x) = 2*log₅(x - 8) + 3.

Answer:

g(x)=2log5(x+4)−8

Step-by-step explanation:

Answer:

(X + Y)/Z = 1

Step-by-step explanation:

Given the leg sides of the isosceles right triangles as 4, 5, and 3, we have

Length of the other leg sides of the isosceles triangle = Length of the given leg side sizes

Therefore, the respective height and base of each right angled isosceles triangle are equal which gives the areas as follows;

Z = 1/2*5*5 = 12.5 unit²

Y = 1/2*4*4 = 8 unit²

X = 1/2*3*3 = 4.5 unit²

W = 1/2*4*3 = 6 unit²

(X + Y)/Z = (4.5 + 8)/12.5 = 12.5/12.5 = 1.

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

Answer:

440 times

Step-by-step explanation:

First you need to find the total number of cubes each student recieves (25)

Now you put it into a ratio 11 : 25

After that make another ratio with 1000 and solve for x

x : 1000

25x = 11000

x = 440

Answer:

440 blues

Step-by-step explanation:

9 red cubes, 5 green cubes, and 11 blue cubes = 25 cubes total

P( blue) = 11/25

To find out how many blue cubes are expected, take the probability and multiply by the number of draws

11/25 * 1000 draws

440 blues

Answer:

E.  lower principal amount​

Step-by-step explanation:

We can use an example to show how this works:

You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.

If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.

Instead, if you make a 20% down payment, your initial principal = $16,000,  and your monthly payment will be $339.95, your total payments = $20,397.16  and the total interests = $4,397.16.

Answer:

The car will travel 2858meters.

Speed is the rate of change of distance.

Analysis:

speed of car = 41m/s

Energy consumption rate of engine = 756 joules/second

Time taken to consume 52700 joules = 52700/756.

If it travels at 41m/s for 52700/756 seconds, then the distance covered = 41 x 52700/756 = 2858 meters.

Learn more about speed: brainly.com/question/4931057

#SPJ1

Answer:

2900

Step-by-step explanation:

.

Answer:

( x - 3 )( x + 9 )

Step-by-step explanation:

The first thing we want to do here is to break the expression into groups. This will help us factor out common terms, that will later be grouped - our resulting, factored expression.

x² + 6x - 27 - Break the expression into groups,

( x² - 3x ) + ( 9x - 27 ) - Factor out x from the expression " x² - 3x. " Respectively factor out 9 from the expression "  9x - 27. "

x( x - 3 ) + 9( x - 3 ) - Now this contains the shared expression " x - 3, " and hence can be broken down further through grouping.

Factored Expression: ( x - 3 )( x + 9 )

Answer:

[tex]\boxed{\sf \ \ \ x=\dfrac{47}{24} \ \ \ }[/tex]

Step-by-step explanation:

Hello,

f(x)=5x-12

we need to find x so that

[tex]f^{-1}(x)=f(x+1)[/tex]

so first of all we can write

[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=5f^{-1}(x)-12\\\\<=>5f^{-1}(x)=x+12\\\\<=>f^{-1}(x)=\dfrac{x+12}{5}[/tex]

and f(x+1) = 5(x+1) - 12 = 5x + 5 -12 = 5x - 7

then solving

[tex]f^{-1}(x)=f(x+1)[/tex]

is equivalent to

[tex]\dfrac{x+12}{5}=5x-7 \ multiply \ by \ 5 \\\\<=> x+12 = 5(5x-7)=25x-35\\<=> 25x-x=12+35\\\\<=>24x=47\\\\<=>x=\dfrac{47}{24}[/tex]

Hope this helps

Answer:

Step-by-step explanation:

let f(x)=y

y=5x-12

flip x and y

x=5y-12

5y=x+12

[tex]y=\frac{x+12}{5} \\or \\f^{-1}(x)=\frac{x+12}{5} \\f(x+1)=5(x+1)-12=5x-7\\\frac{x+12}{5} =5x-7\\x+12=25x-35\\25~x-x=12+35\\24 x=47\\x=\frac{47}{24}[/tex]