You roll a number cube numbered from 1 to 6. What is the probability that the number is a composite number?

Answer:  [tex](f/g)(x)=\frac{2x}{x+5}[/tex]

Step-by-step explanation:

Given the function f(x):

[tex]f(x)=4x^2+6x[/tex]

And the function g(x):

[tex]g(x)=2x^2+13x+15[/tex]

To find [tex](f/g)(x)[/tex] you need to divide the function f(x) by the function g(x).

Therefore, knowing this, you get:

[tex](f/g)(x)=\frac{4x^2+6x}{2x^2+13x+15}[/tex]

You can simplify the numerator by factoring out 2x:

[tex](f/g)(x)=\frac{2x(2x+3)}{2x^2+13x+15}[/tex]

 You have to simplify the denominator:

 Rewrite the term 13x as a sum of two terms whose product be 30:  

[tex](f/g)(x)=\frac{2x(2x+3)}{2x^2+(10+ 3)x+15}[/tex]

Apply Distributive property:

[tex](f/g)(x)=\frac{2x(2x+3)}{2x^2+10x+ 3x+15}[/tex]

Make two groups of two terms:

[tex](f/g)(x)=\frac{2x(2x+3)}{(2x^2+10x)+ (3x+15)}[/tex]

Factor out 2x from the first group and 3 from the second group:

[tex](f/g)(x)=\frac{2x(2x+3)}{(2x(x+5))+ 3(x+5)}[/tex]

Factor out (x+5):

[tex](f/g)(x)=\frac{2x(2x+3)}{(2x+3)(x+5)}[/tex]

Simplifying, you get:

[tex](f/g)(x)=\frac{2x}{x+5}[/tex]

ANSWER

[tex]( \frac{f}{g} )(x) = \frac{2x }{x + 5}[/tex]

where

[tex]x \ne - \frac{3}{2} \: or \: x = - 5[/tex]

EXPLANATION

The given functions are:

[tex]f(x) = 4 {x}^{2} + 6x[/tex]

and

[tex]g(x) =2 {x}^{2} + 13x + 15[/tex]

We want to find ,

[tex]( \frac{f}{g} )(x) = \frac{f(x)}{g(x)} [/tex]

[tex]( \frac{f}{g} )(x) = \frac{4 {x}^{2} + 6x }{2 {x}^{2} + 13x + 15} [/tex]

[tex]( \frac{f}{g} )(x) = \frac{2x(2x + 3) }{2{x}^{2} + 10x +3x + 15} [/tex]

[tex]( \frac{f}{g} )(x) = \frac{2x(2x + 3) }{2{x}(x + 5) +3(x + 5)} [/tex]

[tex]( \frac{f}{g} )(x) = \frac{2x(2x + 3) }{(2x + 3)(x + 5)} [/tex]

We cancel out the common factors to get:

[tex]( \frac{f}{g} )(x) = \frac{2x }{x + 5} [/tex]

where

[tex]x \ne - \frac{3}{2} \: or \: x = - 5[/tex]

The answer is zero 2x -3=0 x-1=0

Answer:

The answer is F: 108

Step-by-step explanation:

144 - 108 = 36

108 ÷ 3 = 36

Answer:

giytg8h0ygrubigrfbk

Step-by-step explanation:

Answer:

Step-by-step explanation:

Look at the picture.

ΔABC and ΔACD are similar. Therefore the corresponding sides are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AC}{AD}[/tex]

We have:

[tex]AB=2+6=8,\ AC=x,\ AD=2[/tex]

Substitute:

[tex]\dfrac{8}{x}=\dfrac{x}{2}[/tex]           cross multiply

[tex]x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=4[/tex]

Answer:

x=1

Step-by-step explanation:

We can find the slope given two points by

m = (y2-y1)/(x2-x1)

2 = (6--2)/(x--3)

2 = (6+2)/(x+3)

2 = 8/(x+3)

Multiply each side by x+3

2(x+3) = 8/(x+3) * (x+3)

2(x+3) = 8

Divide each side by 2

2/2 (x+3) = 8/2

x+3 = 4

Subtract 3 from each side

x+3-3=4-3

x =1

square root both sides, divide by v both sides, divide by 2 both sides, divide pCd both sides

ANSWER

84%,0.82,¾,⅓

EXPLANATION

Convert everything to decimals.

[tex] \frac{3}{4} = 0.75[/tex]

[tex] 84\% = 0.84[/tex]

[tex] \frac{1}{3} = 0.333....[/tex]

The last one is already in decimals.

[tex]0.82[/tex]

We can now see clearly, that

[tex]0.84 \: > \: 0.82 \: > \: 0.75 \: > \: 0.3333...[/tex]

This implies that,

[tex]84\% \: > \: 0.82 \: > \: \frac{3}{4} \: > \: \frac{1}{3} [/tex]

Hence from highest to least, we have

84%,0.82,¾,⅓

Answer:

i believe it is five

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

the square root of 100=10 10/2=5

Can I get brainliest

Answer:

ρ = 35% or 0.35

ρ with ^ = [tex]\frac{23}{50}=0.46[/tex] or equivalently 46%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 35% of the bus riders with a monthly pass are students. This means that 35% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 35% or 0.35.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = [tex]\frac{x}{n}[/tex]

where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;

in a random sample of 50 bus riders with monthly passes, 23 are students.

Using the above formula and the values given we have;

ρ with ^ = [tex]\frac{23}{50}=0.46[/tex] or equivalently 46%

Answer: The correct answer is: ρ=0.35, ρˆ=0.46

Step-by-step explanation:

I hope this helps! :)

Answer:

19.87 Pizzas are left

Step-by-step explanation:

To solve, just take 35 the number of starting pizzas and then subtract the number pizzas both of them consumed. So, 35 - 6.8 given 4/5 converts to 0.8 this leaves use with Bob's pizza consumption only at 28.2 pizza's left. Next, we are going to take 28.2 - 8.33 given 1/3 is .3333 repeating this then gives us the answer with having 19.87 pizzas left - although if it asks how many whole pizzas you would say 28 given you can't have .87 of a pizza.

A fraction is a way to describe a part of a whole. The amount of pizza left is 19 13/15.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given the total number of pizzas is 35. Also given, Bob eats 6 4/5 pizzas and Dave eats 8 1/3 pizzas. Therefore, the amount of pizza both together eat are,

Amount of pizza Bob and Dave eat = 6 4/5 + 8 1/3

                                                           = 34/5 + 25/3

                                                           = 102/15 + 125/15

                                                           = (102+125)/15

                                                           = 227/15

Amount of pizza left = 35 - 227/15

                                  = (525 - 227)/15

                                  = 298/15

                                  = 19 13/15

Hence, the amount of pizza left is 19 13/15.

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The answer would be 9,631.473. Since there is a 5 after the two, you round up one value. Hope this helps!

Answer:

9,631.473

Step-by-step explanation:

The five would make 2 into a 3.

Answer:

1:15 P.M. - (:45 + :20 + 2:10) =

1:15 P.M. - 2:75 = 13:15 - 3:15 =

10:00 A.M.

Johnny and his family left home at 10:00 A.M.

If she uses a $100 bill to pay for the pumpkins, then the amount of change that she receives will be $ 32.5.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound. A baker purchases all of the pumpkins to make pies.

Then the weight of all the pumpkins will be

→ 6 x 3 + 8 x 5 + 9 + 10 x 7 + 12 x 4 + 13 x 2 + 14

→ 225 pounds

Then the amount of money of 225 pounds will be

→ 225 x 0.3

→ $ 67.5

If she uses a $100 bill to pay for the pumpkins, then the amount of change that she receives will be

→ $ 100 - $67.5

→ $ 32.5

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Answer:

Step-by-step explanation:

[tex](f+g)(x)+f(x)+g(x)\\\\f(x)=x^2-2x\\\\g(x)=6x+4\\\\\text{Substitute:}\\\\(f+g)(x)=(x^2-2x)+(6x+4)=x^2-2x+6x+4\\\\\text{combine like terms}\\\\(f+g)(x)=x^2+(-2x+6x)+4=x^2+4x+4\\\\(f+g)(x)=0\Rightarrow x^2+4x+4=0\\\\x^2+2x+2x+4=0\\\\x(x+2)+2(x+2)=0\\\\(x+2)(x+2)+0\\\\(x+2)^2=0\iff x+2=0\qquad\text{subtract 2 from both sides}\\\\x=-2[/tex]

Answer:

pennies/first offer

Step-by-step explanation:

you would be rich

1x2=2  2^364= a lot of pennies

the pennies gives u the most money

the diameter is 2. GJ as it goes across the whole circle

Answer:

GJ

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

Diameter = Any straight line segment that passes through the centre of the circle.

Answer: B

Step-by-step explanation: The Answer is B. 30 Sides.

The number of sides of the regular polygon each interior angle measuring 168° is 30. Thus, the correct option is B.

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

The measure of interior angles of a regular polygon is given by the formula,

[tex]\text{Measure of an interior angle} = \dfrac{(n-2) \times 180^o}{n}[/tex]

where n is the number of sides in the polygon.

Since it is given that measure of an interior angle of the polygon is 168°. Therefore, the number of sides will be,

[tex]168 = \dfrac{(n-2) \times 180^o}{n}[/tex]

168n = 180n - 360

180n - 168n = 360

12n  = 360

n = 30

Hence, The number of sides of the regular polygon each interior angle measuring 168° is 30.

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4*2=8

4*1.5=6

2*1.5=3

8*2=16

2*6=12

2*3=6

16+12+6=34 ft

Total surface area is sum of area of all parts of surface. The surface area of the box is 34 squared feet.

The area of surface of a figure is sum of area of all sub-parts of it. It is because we want to get the total area of its surface.

For the given case, the box given has:

(its all because of assuming box is cuboid or say  rectangular prism)

Thus,

Surface area of box = twice of (area of top + area + left side + area of back)

Calculating these sub areas:

Area of top = [tex]2 \times 4 = 8 \: \rm ft^2[/tex]

Area of back = [tex]1\dfrac{1}{2} \times 4 = \dfrac{2+1}{2} \times 4 = 6 \: \rm ft^2[/tex]

Area of left side: [tex]1\dfrac{1}{2} \times 2 = \dfrac{2+1}{2} \times 2 = 3 \: \rm ft^2[/tex]

Thus,

Surface area of box = [tex]2(8 + 6 + 3) = 2 \times 17 = 34 \: \rm ft^2[/tex]

Thus,

The surface area of the box is 34 squared feet.

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For this case we must simplify the following expression:

([tex](-6 ^ {\frac {1} {3}}) ^ {- 2}[/tex]

So, by definition of power properties we have:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, rewriting the expression:

[tex]\frac {1} {(- 6 ^ {\frac {1} {3}}) ^ 2} =\\\frac {1} {(- 6 ^ {\frac {1} {3}}) * (- 6 ^ {\frac {1} {3}})} =\\\frac {1} {(6 ^ {\frac {1} {3}}) * (6 ^ {\frac {1} {3}})} =\\\frac {1} {6 ^ {\frac {2} {3}}}[/tex]

ANswer:

[tex]\frac {1} {6 ^ {\frac {2} {3}}}[/tex]

Answer:

-8x+10

Step-by-step explanation:

=(6)(2x)+(6)(3)+(−4)(5x)+(−4)(2)

=12x+18+−20x+−8

Combine Like Terms:

=12x+18+−20x+−8

=(12x+−20x)+(18+−8)

=−8x+10

Answer:

-8x+ + 10

Step-by-step explanation:

Stop deleting my answer scooby Doo, i really need points now

Answer:

[tex]\large\boxed{3\log_2x-\log_2(x+4)=\log_2\dfrac{x^3}{x+4}}[/tex]

Step-by-step explanation:

[tex]3\log_2x-\log_2(x+4)\\\\\text{use}\ \log_ab^n=n\log_ab\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\=\log_2x^3-\log_2(x+4)=\log_2\dfrac{x^3}{x+4}\\\\\text{Domain:}\\\\x>0\ \wedge\ x+4>0\to x>0\ \wedge\ x>-4\\\\\boxed{x>0}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

[tex]\large\boxed{\left\{\begin{array}{ccc}f(1)=5\\f(n)=f(n-1)\cdot(-2)\end{array}\right}[/tex]

Step-by-step explanation:

[tex]f(n)=5\cdot(-2)^{n-1}\\\\f(1)\to\text{put n = 1 to the equation of}\ f(n):\\\\f(1)=5\cdcot(-2)^{1-1}=5\cdot(-2)^0=5\cdot1=5\\\\\text{calculate the common ratio:}\ \dfrac{f(n+1)}{f(n)}\\\\f(n+1)=5\cdot(-2)^{(n+1)-1}=5\cdot(-2)^{n+1-1}=5\cdot(-2)^n\\\\r=\dfrac{f(n+1)}{f(n)}=\dfrac{5\!\!\!\!\diagup^1\cdot(-2)^n}{5\!\!\!\!\diagup_1\cdot(-2)^{n-1}}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\r=(-2)^{n-(n-1)}=(-2)^{n-n+1}=(-2)^1=-2\\\\\text{Therefore}\\\\f(n)=f(n-1)\cdiot(-2)[/tex]

Answer:

x = ± [tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

3x² - 9 = 0 ( add 9 to both sides )

3x² = 9 ( divide both sides by 3 )

x² = 3 ( take the square root of both sides )

x = ± [tex]\sqrt{3}[/tex]

Answer:

x=0

Step-by-step explanation:

x^2+6x-27=-27

x^2+6x=0

x(x+6)

x=0, x=-6

The solution to (x - 3)(x + 9) = -27 is x=6, the correct option is D.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given that;

(x - 3)(x + 9) = -27

Now,

If we plug in x = 6 into the equation,

we get: (6 - 3)(6 + 9) = -27.

Simplifying, we get: (3)(15) = -27.

Multiplying, we get: 45 = -27. This is true, so x = 6 is a solution.

The other values of x do not satisfy the equation.

For example, if we plug in x = -9, we get: (-9 - 3)(-9 + 9) = -27. Simplifying, we get: (-12)(0) = -27.

Multiplying, we get: 0 = -27. This is false, so x = -9 is not a solution

Therefore, by quadratic equations the answer will be x = 6.

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Answer:

204

Step-by-step explanation:

First you divide 612 by 9 (612÷9) which gives 68.

Then multiply 68 by 3 (68×3) giving the answer 204.

Answer:  

3/9 of 612 = 204

Step-by-step explanation:

Step 1: convert 3/9 into a decimal so that its easier to work with, that will be 0.3333333333

Step 2: since we know that "of" means "X" in math, we times it by 612 to get the answer of 204

Answer:

1 meter.

Step-by-step explanation:

1 1/2 * 1/3

= 3/2 * 1/3

= 3/6

= 1/2.

So John used 2*1/2 = 1 meter of the ribbon.

Answer:

179.78

Step-by-step explanation:

Let's count how much Abe has exactly:

32 one-dollar bills: $32

4 five-dollar bills: $20

32 quarters: $8

25 dimes : $2.50

82 pennies :  $0.82

First check: $43.56

Second check: $122.90

Total = $229.78

And he wants a $50 bill... so he'll deposit $179.78 ($229.78 - $50).

Final answer:

Abe Cassidy will deposit $179.78 into his savings account.

Explanation:

Let's calculate how much Abe Cassidy will deposit into his savings account, considering he wants to receive a $50.00 bill in cash. To do this, we need to add up all the various types of money he has and then subtract the $50 he wishes to keep in cash.

Adding all these amounts gives us a total of $229.78 before removing the $50 he wants in cash.

To find the amount he will deposit, we subtract the $50 from the total amount:

$229.78 - $50 = $179.78

Hence, Abe Cassidy will deposit $179.78 into his savings account.

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

To find the length of the guy wire attached 13 feet from the top of a 190-foot tall tower at an angle of 31° with the ground, we can use the sine function and trigonometry. The length of the guy wire is approximately 380.8 feet.

To find the length of the guy wire, we can use trigonometry. The guy wire, the height of the tower, and the distance from the top of the tower to the attachment point form a right triangle. We can use the sine function to find the length of the guy wire: sin(31) = height of the tower / length of the guy wire. Rearranging the equation gives us length of the guy wire = height of the tower / sin(31). Plugging in the values, we get length of the guy wire ≈ 190 / sin(31) ≈ 380.8 feet. Therefore, the guy wire should be approximately 380.8 feet long.

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Martin's drink equation = option b, 11.99 + d = 14.48

Nora's calzone equation = option a, c - 3 = 9.49

Hope this helps

Answer:

[tex]\large\boxed{(2x^3)^2\times6x^2=24x^8}[/tex]

Step-by-step explanation:

[tex](2x^3)^2\times6x^2\qquad\text{use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\=2^2(x^3)^2\times6x^2=4x^6\times6x^2=(4\times6)(x^6x^2)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=24x^{6+2}=24x^8[/tex]