What is the sum of the finite arithmetic
series?
29 + 32 + 35 + 38 + 41 + ... + 59

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

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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Answer:

1. Height of the prism= h

2. area of the base= B

3. Perimeter of the base= P

Step-by-step explanation:

Here are what the letters mean:

P = perimeter of the base

h = height of the prism

B = area of the base

Answer:

7858

Step-by-step explanation:

hope it helps you bye

Answer:

-4

Step-by-step explanation:

Average rate of change (Table 1) :

Average rate of change (Table 2) :

Difference : -2 - 2 = -4

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:

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]

The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contacts = 25

Total number of contacts of neighbors = 20

Total number of contacts which is not of the neighbors = 25 - 20 = 5

The probability of call a person not from his neighborhood:

P = 5/25 = 1/5

P = 0.2

Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25

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Answer: 1/5 or 0.2

Step-by-step explanation:

the answer is ten it's simple to multiply

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:

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

Answer:

i think the answer is 4

Step-by-step explanation:

hope it's 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:

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:

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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Answer:

option c, 20

Step-by-step explanation:

Interquartile range is Q3 - Q1

Q3 is the upper end of the box: 35

Q1 is the lower end of the box: 15

35 - 15 = 20

Hi!1200 centimetres are equal to 12 meters.

Answer:

1200cm

Step-by-step explanation:

1m = 100cm

12m = 1200cm

Answer:

A=7

B=10

C=2

D=2

Surface area= 208

Pretty sure this is correct.

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

[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.

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

Answer:

A. 6/10

Step-by-step explanation:

Answer:

the answer is a 6

                          _

                         10

Step-by-step explanation:

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:

[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]

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 !!!

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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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]

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:

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.