The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?

Answer:

5/4k^2

Step-by-step explanation:

P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.

We will be using the following property of exponents:

\dfrac{a^x}{a^y}=a^{x-y}.

We have

P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.

Thus, the required product is \dfrac{5}{4k^2}.

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Answer: 5/4k^2

Step-by-step explanation:

Just multiply the fractions then simplify by a common factor of 3, then cancel out the common variable of k

Answer:

Step-by-step explanation:

32

i did this

Answer:

(D)

Step-by-step explanation:

When graphed, the lines do not cross at any point.  There is a picture of this below.

The system has no solution.

Answer:

D. No Solution

Step-by-step explanation:

Both lines have a slope of 2x so that means they are parallel and will never cross

Hi!

Answer: 200

The 2 triangles surface area add up to 120

the rectangle on the bottom is 30

The rectangle in the back is 16

And the rectangle on top is 34

So 120+30+16+34 = 200

Hope this is correct and helps!

Answer:

the area would be 7x7x7= 343 would be the answer length times width times height

please please please mark brainliest

Step-by-step explanation:

Answer:

49 square feet

Step-by-step explanation:

length, l = 7 feet

Area of the square, A = l^2

Slot in the value of l

= 7^2

= 49 square feet

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

Answer:

C) 35

Step-by-step explanation:

[tex]^7C_3 \\ = \frac{7!}{3!(7 - 3)!} \\= \frac{7!}{3! \: 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = 35 \\ \huge \red{ \boxed{ \therefore \: ^7C_3 = 35}}[/tex]

Answer:

C=35

Step-by-step explanation:

⁷C₃

These is combination

using the rule it states that

ⁿCₐ= n!/(n-a)!a!

so therefore ⁷C₃= 7!/(7-3)!3! = 7!/4!3!=7x6x5x4x3x2x1/{(4x3x2x1)x(3x2x1)}

4x3x2x1 cancels itself as it appears up and down

7x6x5/6

6 cancels each itself as it appears up and down

7x5 = 35

Answer: 109 km/h

Step-by-step explanation:

Hi to answer this question we have to divide the distance traveled by the truck loaded with fruit (689-144) by the time that it took. (5)

Kilometers within the same time

Mathematically speaking:

(689-144)kilometers /5 hours = 109 km/h

Feel free to ask for more if needed or if you did not understand something.

Answer:

The area surrounding the parallelogram can be found by subtracting 63 from 128

Step-by-step explanation:

Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.

Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since

She needs to find the area of the fabric surrounding the parallelogram pattern.

Answer:

B, C, E

Step-by-step explanation:

On e2020

B-The area of the parallelogram is (9) (7) = 63.

C-The total area of the block is 128 square inches.

E-The area surrounding the parallelogram can be found by subtracting 63 from 128.  

Answer:

(2x + 7)(2x + 7)

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 49 \\ = 4 {x}^{2} + 14x + 14x + 49 \\ = 2x(2x + 7) + 7(2x + 7) \\ = (2x + 7)(2x + 7)[/tex]

Answer:

3) (2x+7)(2x+7)

Step-by-step explanation:

FOIL (first, outer, inner, last) it back out, you get 4x^2 + 14x + 14x + 49 which simplifies to the original.

Answer:

[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]

Step-by-step explanation:

Given the equation

[tex]x2 = -20y[/tex]

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

so

[tex]x^2=-20y[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]-20y=x^2[/tex]

[tex]\mathrm{Factor\:}4[/tex]

[tex]4\cdot \frac{-20}{4}y=x^2[/tex]

[tex]4\left(-5\right)y=x^2[/tex]

[tex]\mathrm{Rewrite\:as}[/tex]

[tex]4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2[/tex]

[tex]\left(h,\:k\right)=\left(0,\:0\right),\:p=-5[/tex]

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

[tex]\left(0,\:0+p\right)[/tex]

[tex]=\left(0,\:0+\left(-5\right)\right)[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]\left(0,\:-5\right)[/tex]

Therefore,

[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]

Please check the attached figure too.

The focus of the parabola given by the equation x2 = -20y is at the coordinates (0,-5). This is calculated by finding the value of 'p' in the standard form x2 = 4py.

The equation x2 = -20y is notably a form of the parabola equation known as standard form. This version of a parabola equation is defined in the form x2 = 4py (or it could be y2 = 4px), where p is the distance from the vertex to the focus (and also to the directrix).

In the given equation, x2 = -20y, comparing it with the standard form, we find 4p = -20 by observing the coefficient of 'y'. Solving for 'p', we get p = -20/4 = -5. This means the focus of the parabola is (0,-5), because for a parabola that opens downwards (since 'p' is negative), the focus is located at the coordinates (h, k-p), where 'h' and 'k' are the coordinates of the vertex (which is the origin (0,0) in this case).

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Answer:

x=20

Step-by-step explanation:

The angles are vertical angles, which means they are equal

2x+20 = 60

Subtract 20 from each side

2x+20-20 = 60-20

2x = 40

Divide each side by 2

2x/2 = 40/2

x =20

Answer:

x=20. C.

Step-by-step explanation:

You see, 2x plus 20 and 60 are vertical angles. They are angles that go head to head. Vertical angles are also congruent, so if they are congruent you can write an equation, 2x+20=60. Solve for x, minus both sides by 20, and you get 2x=40. Divide both sides by 2 and you get x=20. Hope this helps!

Answer:

C. F.

Step-by-step explanation:

The vertex is the point at which the lines that define the angle's amplitude meet.

In this case, they meet in point F.

Answer:

F

Step-by-step explanation:

The location of the point Q is  (4,3)

The coordinates are given as:

R'(4,4), S (4,1), P(-3, 1), and Q'(-3, 4)

The transformation rule is given as:

90 degrees counterclockwise

The above rule is represented as:

(x,y) -> (-y,x)

So, we have:

(x,y) -> (-3,4)

Solve for x and y

(x,y) = (4,3)

Hence, the location of the point Q is  (4,3)

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Answer:

B

Step-by-step explanation:

Because the height is only used once (not squared) in the cone volume formula, the volume is only multiplied by 4.

The volume of the right circular cone must be multiplied by 4.

The correct answer is option (B). 4

[tex]V=\frac{1}{3}\times \pi \times r^{2} \times h[/tex], where 'r' is the radius of circular base and 'h' is the height of the right circular cone.

For given example,

The height of the right circular cone is multiplied by 4, but its radius remains fixed.

From the formula of the volume of the right circular cone,

[tex]V\propto h[/tex]

This means,  as height of the cone increases, the volume of the cone increases at the same rate.

As the height of a right circular cone is multiplied by 4, the volume of the cone must be multiplied by factor 4.

Therefore, the correct answer is option (B). 4

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Answer:

it would be can D

Step-by-step explanation:

Can C have greater volume.

The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height. V =πr²h, is the formula for the volume of a cylinder with base radius r and height h.

Given:

a) Volume of Cylinder = πr²h

                                    = 3.14 x 2 x 2 x 6

                                    = 75.36 cube inches.

b) Volume of Cylinder = πr²h

                                    = 3.14 x 2.5 x 2.5 x 5

                                    = 98.125 cube inches.

c) Volume of Cylinder = πr²h

                                    = 3.14 x 3 x 3 x 4

                                    = 113.04 cube inches.

d) Volume of Cylinder = πr²h

                                    = 3.14 x 3.2 x 3.2 x 3

                                    = 94.4608 cube inches.

Hence, can C have greater volume.

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Answer: -2.25

Step-by-step explanation:

-2 4/9 or -2.25

Convert this to decimal

-2 4/9

4/9=0.4444

Add to the 2

-2.4444

-2.444 or -2.25

In negative rule,the lower the value,the greater the number

Therefore,

-2.25 is greater than -2.444

Answer:

SA = 251.33 yd ^2

V = 301.59 yd ^3

Step-by-step explanation:

Right cylinder   2π  = 6.28318530718

Solve for surface area

A =2πrh+2πr2  = 24 x 2π + 2π x 16

A =150.796447372 + 100.530964915

A ≈251.33 yd^2

Right cylinder π = 3.14159265359

Solve for volume

V = πr2h = 16 x 6 = 96π

V = 3.14159265359 x 96

V = 301.592894745

V= 301.59 yd ^3

Answer:

122

Step-by-step explanation:

Inscribed Angles measure 1/2 of the central angle, using this:

61*2 = 122

Answer:

6³

Step-by-step explanation:

Answer:

6^3

Step-by-step explanation:

6*6*6

The base is 6

There are 3 sixes multiplied together so the exponent is 3

b) you could choose :

red, black

black, red

red, red

c) p(black, red) = (6/18)(12/17) = 72/306 = 4/17

Answer:

530.66 cm squared

Step-by-step explanation:

c = 2(3.14)r

81.64 = 2(3.14)r

Divide both sides by 6.28

The radius is 13

a = 3.14(13 squared)

a = 530.66

Answer: 530.39 cm²

Step-by-step explanation:

C=2πr, Substitute 81.64 in for C then divide 2π t get 12.99. A=πr². Plug in 12.99 for r, solve, and get 530.39 cm

Answer:

I am pretty sure that the answer is  

y = 3x -2

Step-by-step explanation:

given a line with slope m then the slope of a line  perpendicular to it is

 where m is the slope and b the y-intercept

I hoped this helped!!!

Answer: y=3x-5

Step-by-step explanation:

Got ot right on my test!!

Answer:

   x = 2/5 = 0.400

Step-by-step explanation:

Step  1  :

           1

Simplify   —

           4

Equation at the end of step  1  :

  5         1

 (— • x) -  —  = 0  

  8         4

Step  2  :

           5

Simplify   —

           8

Equation at the end of step  2  :

  5         1

 (— • x) -  —  = 0  

  8         4

Step  3  :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       8  

     The right denominator is :       4  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

2 3 2 3

Product of all  

Prime Factors  8 4 8

     Least Common Multiple:

     8  

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      5x

  ——————————————————  =   ——

        L.C.M             8  

  R. Mult. • R. Num.      2

  ——————————————————  =   —

        L.C.M             8

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x - (2)     5x - 2

————————  =  ——————

   8           8    

Equation at the end of step  3  :

 5x - 2

 ——————  = 0  

   8    

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 5x-2

 ———— • 8 = 0 • 8

  8  

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5x-2  = 0

Solving a Single Variable Equation :

4.2      Solve  :    5x-2 = 0  

Add  2  to both sides of the equation :  

                     5x = 2

Divide both sides of the equation by 5:

                    x = 2/5 = 0.400

One solution was found :

                  x = 2/5 = 0.400