If the total area of a dartboard is 804 in2 and the area of the bull's-eye is 50in2, what is the probability that a dart that randomly hits the dartboard will hit the bull's-eye?

Answer:

[tex]x^4 - 1 = (x- 1)(x + 1)(x^2 + 1)[/tex]

[tex]2x^2 - 4x - 240 = 2(x + 10) (x - 12)[/tex]

Step-by-step explanation:

Given

[tex]1.\ x^4 - 1[/tex]

[tex]2.\ 2x^2 - 4x - 240[/tex]

Required

Factor

[tex]1.\ x^4 - 1[/tex]

Express as difference of two squares

[tex]x^4 - 1 = (x^2 - 1)(x^2 + 1)[/tex]

Express [tex]x^2 - 1[/tex] as difference of two squares

[tex]x^4 - 1 = (x- 1)(x + 1)(x^2 + 1)[/tex]

[tex]2.\ 2x^2 - 4x - 240[/tex]

Expand

[tex]2x^2 - 4x - 240 = 2x^2 -24x + 20x - 240[/tex]

Factorize

[tex]2x^2 - 4x - 240 = 2x(x -12) + 20(x - 12)[/tex]

Factor out x - 12

[tex]2x^2 - 4x - 240 = (2x + 20) (x - 12)[/tex]

Factor out 2

[tex]2x^2 - 4x - 240 = 2(x + 10) (x - 12)[/tex]

Answer:

2 unique types

Step-by-step explanation:

we can form 2 isosceles triangles

9514 1404 393

Answer:

  trapezoid

Step-by-step explanation:

One pair of sides is parallel, so the figure is a trapezoid.

__

The upper right and lower left line segments both have slopes of -2/3. Since their slopes are the same, they are parallel. The slope is found by counting grid squares between points where the lines cross grid intersections. Those crossings occur down 2 and right 3 grid squares apart, so the slope is ...

  m = rise/run = -2/3

Answer:

g(x)=-(x+2)(x-1)

g(x)=6-3x-3x^2

Step-by-step explanation:

Use desmos to graph each function and then just see which ones are equal to zero when x=-2 and x=1

Answer:

We want to find the first 3 terms of the Taylor's series expansion for f(x) = sin(x) around x = 0.

Remember that a Taylor's series expansion of a function f(x) around the point x₀ is given by:

[tex]f(x) = f(x_0) + \frac{1}{2!}f'(x_0)*(x - x_0) + \frac{1}{3!}*f''(x_0)*(x - x0)^2 + ...[/tex]

Where in the formula we have the first 3 terms of the expansion (but there are a lot more).

So, if:

f(x) = sin(x)

x₀ = 0

The terms are:

[tex]f(x_0) = sin(0) = 0[/tex]

[tex]\frac{1}{2!}*f(x_0)'*(x - x_0) = \frac{1}{2} cos(0)*(x - 0) = x/2[/tex]

[tex]\frac{1}{3!}*f(x_0)''*(x - x_0)^2 = \frac{1}{6}*-sin(0)*(x - 0)^2 = 0[/tex]

[tex]\frac{1}{4!}*f(x_0)'''*(x - x_0)^3 = \frac{1}{24}*-cos(0)*(x- 0)^3 = -\frac{x^3}{24}[/tex]

We already can see that the next term is zero (because when we derive the cos part, we will get a sin() that is zero when evaluated in x = 0), then the next non zero term is:

[tex]\frac{1}{6!}*f(x_0)''''*(x - x_0)^5 = \frac{1}{2*3*4*5*6} *(x - 0)^5 = \frac{x^5}{720}[/tex]

Then we can write:

[tex]sin(x) = \frac{x}{2} - \frac{x^3}{24} + \frac{x^5}{720}[/tex]

Evaluating this in x = 0.2, we get:

[tex]sin(0.2) = \frac{0.2}{2} - \frac{0.2^3}{24} + \frac{0.2^5}{720} = 0.099667[/tex]

Answer:

This can happen in two ways:

1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.

2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.

Step-by-step explanation:

Given that a bag contains exactly 50 coins, and the coins are either worth 10 cents, 20 cents or 50 cents and there is at least one of each, and the total value of the coins is $ 10, to determine how many different ways can this occur, the following calculation must be performed:

48 x 0.5 + 1 x 0.2 + 1 x 0.1 = 24.30

48 x 0.1 + 1 x 0.2 + 1 x 0.5 = 5.5

48 x 0.2 + 1 x 0.1 + 1 x 0.5 = 10.3

45 x 0.2 + 4 x 0.1 + 1 x 0.5 = 9.9

44 x 0.2 + 5 x 0.1 + 1 x 0.5 = 9.8

42 x 0.2 + 6 x 0.1 + 2 x 0.5 = 10

30 x 0.1 + 10 x 0.2 + 10 x 0.5 = 10

Therefore, this can happen in two ways:

1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.

2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.

Answer:

7 + p

Step-by-step explanation:

Solve:

7 - 3p + 4p

Simplify using like terms

Wrote problem using addition

7 + ( -3p + 4p)

7 + 1p or 7 + p

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer and Step-by-step explanation:

The simplified expression is:

7 + p

because we subtract 3p from 4p.

#teamtrees #PAW (Plant And Water)

Answer:

3

Step-by-step explanation:

slope formula

[tex]\frac{y_2-y_1}{x_2-x_1}\\\\\\\frac{13-(-2)}{12-7}=\frac{15}{5}=3[/tex]

Answer:

the answer is 67 like the other angle because they are vertical from each other which make them the same

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x = 67 degrees

Step-by-step explanation:

Use opposite angles! The angle opposite from x is 67, therefore x is also 67. Hope this helps! :)

Answer:

n =30

Step-by-step explanation:

Given that,

Size of a sugar cube = 20 cm

The dimension of the container is 40cm by 60cm by100cm​.

Let n be the number of sugar cube that are contained in the container.

So,

[tex]n=\dfrac{\text{volume of container}}{\text{volume of sugar cube}}\\\\n=\dfrac{40\times 60\times 100}{20^3}\\\\n=30[/tex]

So, there are 30 sugar cube that are fitted in the container.

Answer:

Hello! answer: -12

Step-by-step explanation:

-36 ÷ 3 = -12

-72 ÷ 6 = -12

-108 ÷ 9 = -12

answer is -12

Answer:

-12

Step-by-step explanation:

To do this, you have to divide the x and y, to find the scale factor.

-36 ÷ 3 = -12

So the answer is -12.

9514 1404 393

Answer:

  D.  5, 7, 12 cm

Step-by-step explanation:

In order for sides lengths to be able to form a triangle, the sum of the shortest two must exceed the longest. That is the case for all except D.

 5 cm + 7 cm = 12 cm . . . . . is not greater than 12 cm

Answer:

(x-1)(x+30)

..............

Answer:

32 Years, 7 Months, 2 Days old

Step-by-step explanation:

Answer:

Step-by-step explanation:

for first one's answer visit;

https://answers.everydaycalculation.com/subtract-fractions/2-3-minus-7-18

for sencond one;

3x=2+1

3x=3

x=1

for more info visit;

https://www.cymath.com/answer?q=3x-1%3D2

Answer:

The correct answer is "57408".

Step-by-step explanation:

Given:

[tex]\mu=65351[/tex]

[tex]\sigma=7712[/tex]

[tex]p=0.15[/tex]

As per the standard table, we know,

[tex]z=-1.03[/tex]

Now,

⇒ [tex]z=\frac{x-\mu}{\sigma}[/tex]

By putting the values, we get

[tex]-1.03=\frac{x-65351}{7712}[/tex]

      [tex]x=57407.64[/tex]

or,

         [tex]=57408[/tex]

Answer:

b

Step-by-step explanation:

this equation can be derived from the question :

95,000 - 250x = 75,000

where x is the equal amount of shares purchased for each client

given the amount of shares that remains after the shares has been purchased, we can determine the amount of shares bought by dividing the difference between 95,000 and 75,000 by 250

the price of each share was not made reference to in the question, thus it is not an important variable

Answer:

x = 11.67

Step-by-step explanation:

3(x + 3) = 4(4 + 7)

3x + 9 = 44

3x = 35

x = 11.67

Answer:

x = 0

Step-by-step explanation:

From the intersecting secants theorem, If from an exterior point, we draw two secant segments to a circle, then the product of the length of one secant segment and its external secant part will be equal to the product of the length of the other secant segment and its external secant portion.

Thus, applying it to this question;

(x + 27 + 48) × (x + 27) = (x + 45)²

(x + 75)(x + 27) = x² + 90x + 2025

x² + 102x + 2025 = x² + 90x + 2025

Like terms will cancel put to give;

102x - 90x = 0

12x = 0

x = 0/12

x = 0

Answer:

40%

Step-by-step explanation:

Find the percentage she has ridden so far by dividing 14 by 35:

14/35

= 0.4

So, Maya has ridden 40% of the course

Answer: 40%

Step-by-step explanation: i went to a percentage calculator and found out what it was

Answer:

147

Step-by-step explanation:

true

Producers --> Consumers --> Primary consumers --> Secondary consumers -->  

Tertiary consumers --> Quaternary consumers --> Decomposers --> Producers

and the cycle keeps repeating

Hope it helps...  

Answer:

Using substitution method

First make y in equation 1 the subject of formula

Y=4x-2

Sub in equation 2

2(4x-2)-8x=4

8x-4-8=4

8x=4+12

8x=16

X=2

Sub in any of equation to get y

Step-by-step explanation:

Y =4(2)-2=6

Answer:

(x, -2+4x)

Step-by-step explanation:

See The image below:)

Answer:

$2,500

Step-by-step explanation:

$350 per day for 25 days

350*25=2450

Add the 50 for insurance and that makes it 2500

If its wrong im sorry

Answer:

8800 is the amount before she buys her own instrument

Step-by-step explanation:

350 x 25 = 8750

8750 + 50 = 8800

so sorry not sure how to do this ! :c

Step-by-step explanation:

Hey there!

According to the question;

Mass of an object (m) = 630 kg

Volume of an object (v) = 7m³

We know that;

[tex]density = \frac{mass(kg) \: }{volume( {m}^{3} )} [/tex]

or, density = (630/7) kg/m³

Therefore, density of the substance is 90kg/m².

Hope it helps!

X = 2 cm

Volume = Bh= 8×5×1/2×X= 80

X = 80/20 = 4