tom is planning a party for five friends at a game arcade. He can buy different numbers of game tokens for the prices shown on the table

each friend will have 25 game tokens.

how much money could tom save, in dollars, if he buys all 125 tokens before the party rather than separately as each friends arrive?

Answer:

-4

Step-by-step explanation:

Average rate of change (Table 1) :

Average rate of change (Table 2) :

Difference : -2 - 2 = -4

The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region outside the circle r = 2 and inside the circle r = - 4 sinθ.

Then the intersection point will be given as

[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]

Thus, the area of the region is 3.75 square units.

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Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of the circular motion of the alpha particles is closest to 0.11μs.

The period of the circular motion of the alpha particles moving along an in the presence of the magnetic field is given by;

[tex]T = \dfrac{2\pi m}{qB}[/tex]

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t.

We are given;

Mass; m = 6.68 × 10^(-27) kg

Magnetic field;B = 0.90 T

Charge;q = 2e

Now, e is the charge on an electron and it has a value of 1.6 × 10^(-19) C

So, q = 2 × 1.6 × 10^(-19)

q = 3.2 × 10^(-19) C

we know that,

[tex]T = \dfrac{2\pi m}{qB}[/tex]

we have;

[tex]T =\dfrac{ (2\pi \times 6.68 \times 10^{-27})}{(3.2 \times 10^{-19}\times 0.9)}\\T =11.798 \times 10^{-8} s[/tex]

This can also be written as;

T ≈ 0.11 μs

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The attribute being measured is the height of plant seedlings. The unit of measurement is centimeters. There are a total of 6 observations.

The table displays weeks and the plant's height. From the table, it can be seen that the height of the plant increases with the passage of time. Thus, the attribute being measured is the height of plant seedlings.

The number of data points on the table is 6. This is the total number of observations.

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Answer: Heyaa!!

its 3/5 :)

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you

- Matthew <333

Answer:

The square root of 36/100 is c. -6/10 and 6/10

Step-by-step explanation:

as of right now im not sure how to confirm this other then a calculator, but it is mathmatically correct

also with mathews answer, 3/5 = 6/10 so be sure to look at his explanation as well

((if you happen to know, please let me know in the comment below!!))

Answer:

25% of the bear getting picked

Step-by-step explanation:

since there are 4 options and we base of 100% we divide by 4 beacsue there are 4 options

100/4 = 25%

Answer:

A. 6/10

Step-by-step explanation:

Answer:

the answer is a 6

                          _

                         10

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Half the natural numbers picked are going to be even numbers:  

{2, 4, 6, 8, 10}.  Thus the probability of the picked number being even is 5/10, or 0.5.

the answer is ten it's simple to multiply

Answer:

Step-by-step explanation:

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}[/tex]

Answer:

C

Step-by-step explanation:

Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.

Answer:

A=7

B=10

C=2

D=2

Surface area= 208

Pretty sure this is correct.

Answer:

x = 2

Angle A = 95°

Angle B = 85°

Step-by-step explanation:

Concepts

Supplementary angles are angles that sum up to 180° to form a straight angle.

Application

We are asked to find the value of x, Angle A, and Angle B. We are given angles A and B as 15x + 65 and 50x - 15. To do this, we can set up the equation 15x + 65 + 50x - 15 = 180 because we know these angles are supplementary, or adding to 180°. Then, once we get the value of x, we plug in that value for each angle.

Solution

Step 1: Simplify both sides.

Step 2: Subtract 50 from both sides.

Step 3: Divide both sides by 65.

Step 4: Plug x into angle A.

Step 5: Plug x into angle B.

An equation that can be used to determine the value of x is x² + 5x - 36 = 0.

To answer the question, we need to know what equations are

An equation is an expression which shows the relationship between two variables.

Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.

Then,

So, the area of the rectangular sheet poster is A = LW

= (x + 2)(x + 3)

Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².

So, (x + 2)(x + 3) = 42

x² + 3x + 2x + 6 = 42

x² + 5x + 6 - 42 = 0

x² + 5x - 36 = 0

So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.

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Answer:

Step-by-step explanation:

-150x ≥ − 2,400 

[tex]\Longrightarrow -\frac{1}{150} \times \left( -150\right) x \leq -\frac{1}{150} \times \left( -2400\right)[/tex]

[tex]\Longrightarrow x\ \leq \frac{-2400}{-150}[/tex]

[tex]\Longrightarrow x\ \leq 16[/tex]

===============

-336 ≥ − 21y

[tex]\Longrightarrow -\frac{1}{21} \times \left( -336\right) \leq -\frac{1}{21} \times \left( -21\right)y[/tex]

[tex]\Longrightarrow 16\geq y[/tex]

[tex]\Longrightarrow y\geq 16[/tex]

Answer:

9th ones answer is 4.

10th ones answer is 150 units.

7 the ones answer is 30sq cm.

6th one the statements A and B are right.

8 the ones answer is 240 cm².

Answer:

[tex]\displaystyle P(\text{Prime})=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

[tex]\displaystyle P(\text{Prime})=\frac{\text{Number of Primes}}{\text{Total}}=\frac{3}{4}=0.75[/tex]

Answer:

The area of the 3d figure

Step-by-step explanation:

the area of the one of triangle is 8.7

and the reactangle is 5 x 7 = 35

and the big one is 10 x 7 = 70

so 8.7 + 8.7 + 35 + 35 + 70 = 157.4

Answer:

To do this I am pretty sure your going to have to do some hard calculations.

Lets go deeper

so because it is a rectangle every angle is a right angle according to the property of a rectangle.

A right angle is 90 degress

So 8x+18=90
90-18=72

8x=72

72/8=9

x=9

Feel free to do brainlest if correct

Answer:

36

Step-by-step explanation:

12 multiplied by 3 is 36

Answer:

So the first one the false the second one it true

Step-by-step explanation:

4(2)+(-3)=1 FALSE

4(-1)+5 = 1 TRUE

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.

[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

An equation is an expression that shows the relationship between two or more numbers and variables.

Boyle's law is given by:

P₁V₁ = P₂V₂

Where P is pressure and V is volume. Hence:

12(3) = 6 * P₂

P₂ = 6 atm

The pressure is 6 atmospheres when the container is sent underground, with resulting compression into 6 L

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Apply Boyles law

Answer:

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the solution to 2x-8<12

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

First, add 8 on both sides:-

2x<12+8

2x<20

Divide by 2 on both sides:-

x<10 (Option C)

So the numbers less than 10 will make this inequality true.

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

Area and perimeter of figure be: 562.08 m² and 123.68 m

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

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Hi!1200 centimetres are equal to 12 meters.

Answer:

1200cm

Step-by-step explanation:

1m = 100cm

12m = 1200cm

Step-by-step explanation:

[tex] = (7z + 1) + ( - 4z - 5)[/tex]

[tex] = 7z + 1 - 4z - 5[/tex]

[tex] = 7z - 4z + 1 - 5[/tex]

= 3z - 4

hence 3z - 4 is the answer...

hope it helped !!!