a pizza with a diameter of 15 inches is cut into 12 equal slices. Carson eats 5 slices of pizza, representing an area of:

Answers

Answer 1

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of diameter), in our case 15/2 = 7.5 in.

the total area of the whole pizza (circle) is

pi×7.5² = 56.25×pi = 176.7145868... in²

it is cut into 12 slices. Carson eats 5 of these 12 slices.

that means he eats 5/12 of the whole area :

176.7145868... × 5/12 = 73.63107782... in²


Related Questions

I keep coming up with different answers please help me?

Answers

The answer is 1,600.

Answer:

the answer is 1600

PLEASE ONLY ANSWER B. (GIVING BRAINLIEST THANKS)

Answers

Answer:

[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]

Step-by-step explanation:

The perimeter of an envelope is 30 inches. It is 6 inches tall. How wide is it?

Answers

Answer:

The perimeter of an 30 inch wide = 20inches wide bro

Step-by-step explanation:

square route of 482930 free brain liest

Answers

Answer:

694.9

Step-by-step explanation:

Answer:

This is your answer 694.931651315437

Have a good day!

What is the simplified form of V10,000 ,​

Answers

100x³²

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

For which values of x is the expression undefined

Answers

Answer:

x = -7

Step-by-step explanation:

Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:

x + 7 = 0

x = -7

At x = -7, this expression is undefined.

I hope this helps!

If you are given n=504n=504 and p=0.27p=0.27 for a binomial experiment, use the normal distribution to approximate P(x≤119)P(x≤119). Use continuity correction.

Answers

Answer:

[tex]X ≤ P(119)  \rightarrow    P(X < 119.5)[/tex]

Step-by-step explanation:

Given:

n = 504

p = 0.27

To Approximate:

P(x≤119) usimg normal distribution

Solution:

We know that,

[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]

let's find the mean,

[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]

let's calculate standard deviation,

[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]

Rewriting the equation using continuity correction,

[tex]    P(X ≤ n)  \rightarrow    P(X < n + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119 + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]

Some more things you must need to know,

standard score is an important part of statistics,

can be derived using formula

[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]

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simplify the expression c^-6d^4/c^-16d^14

a)c^2d^2
b)c^10/d^10
c)c^10d^10
d)d^-2/d^-2

Answers

Answer:

The answer is:

B. c¹⁰/d¹⁰

please answer it
I need it now​

Answers

Here you go. Hope you get an good score

There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?​

Answers

Answer:

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

Step-by-step explanation:

What is 24% of 234 and it has to be 20 characters long

Answers

Answer:

56.16

We need to determine 24% of 234 now and the procedure explaining it as such

Step 1: In the given case Output Value is 234.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 234 = 100%.

Step 4: In the Same way, x = 24%.

Step 5: On dividing the pair of simple equations we got the equation as under

234 = 100% (1).

x = 24% (2).

(234%)/(x%) = 100/24

Step 6: Reciprocal of both the sides results in the following equation

x%/234% = 24/100

Step 7: Simplifying the above obtained equation further will tell what is 24% of 234

x = 56.16%

Therefore, 24% of 234 is 56.16

please mark it Brainiest answer

Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.

Answers

Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.

Step-by-step explanation:

aye man you gotta believe me ;)

The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.

We have,

f(x) = (1/2)³x

and, g(x) = -(1/2)³⁻ˣ

In f(x), the coefficient 3 in the exponent represents exponential growth.

Now, g(x) = –One-half(3)–x.

Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.

and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.

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Determine an exact value for sin _
3π/4-tan 5π/6

Answers

Answer:

[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]


In your own words, explain how prime factorization is useful to find the greatest common factor and least common multiple.

Answers

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

So you can use the factor tree to find the GCF and LCM

The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

What is  prime factorization?

Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.

here, we have,

we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.

now, we know that,

gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

and,

lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

so, we have,

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

So you can use the factor tree to find the GCF and LCM.

Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

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Reflect the given triangle over
the y-axis.
3 6 31
-3 3 3.
{
ER
-3 -6
-3 [?] [

Answers

Answer:

see explanation

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

applying this rule to the given points , then we obtain

[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]

A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, one cup of sugar, and 2 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies

Answers

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Test help picture below problem 17 18

Answers

Step-by-step explanation:

17. 21⁰ + 31⁰ + ?⁰ = 180⁰

= ?⁰ = 128⁰

18. ?² = 12² + 5²

? = √169

? = 13 TYPO

Answer:

17: 128
18: 13

Step-by-step explanation:

17: 21 + 31 = 52, 180 - 52 = 128.

18: a² + b² = c².
5² = 25
12² = 144
25 + 144 = 169
169 square rooted = 13
C (aka the missing side) = 13

edited to fix 17 from 121 to 128

how can I solve 1 4/5 x 1/2?

Answers

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

first we write 1 4/5 as an improper fraction:

[tex]1 \frac{4}{5}=\frac{5}{5}+\frac{4}{5}=\frac{5+4}{5}=\frac{9}{5}[/tex]

Now we multiply :

[tex]\begin{aligned}1 \frac{4}{5} \times \frac{1}{2} &=\frac{9}{5} \times \frac{1}{2} \\&=\frac{9 \times 1}{5 \times 2} \\&=\frac{9}{10}\end{aligned}[/tex]

Compare the functions shown below:


g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3


Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

I know 3 h(x)=4sin(2x+pi)+3  is the correct option.

Step-by-step explanation:

I don't exactly know why but based on examples in this class I made this conclusion.

Answer:

all are -3

Step-by-step explanation:

substitue 0

Meena buys cookies and apples at the store.
She pays a total of $24.02.
She pays a total of $6.90 for the cookies.
She buys 4 bags of apples that each cost the same amount.

How much does each bag of apples cost?

Answers

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

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(BRAINLIEST) Which statement combines information from BOTH texts. Fill in the chart. Hurry please?

Answers

The third option



In both passages, they say they are turned down and ignored until something bad happens

Answer:

Many newspaper reporters ignored the success of Black players and wrongly judged their actions

Step-by-step explanation:

its correct i swear its the right answer i bet you 100 brainly coins

Simplify the expression.
a)1/64
b)2^-30
c)64
d)2^30

Answers

[tex]\left(\dfrac{(-1)^5}{(-2)^{-3}} \right)^2\\\\\\=\left(\dfrac{-1}{\dfrac{1}{(-2)^3}} \right)^2\\\\\\=\left(-1 \times -8\right)^2\\\\=8^2\\\\=64[/tex]

Answer:

[tex]\huge\boxed{\bf\:64}[/tex]

Step-by-step explanation:

[tex]\left(\frac{(-1)^{5}}{\left(-2\right)^{-3}}\right)^{2}[/tex]

Now, simplify [tex](-1)^{5} = -1[/tex]. Then,

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

Calculate: [tex](-2)^{-3} = \frac{1}{(-2)^{3}} = - \frac{1}{8}[/tex].

[tex]\left(\frac{-1}{-\frac{1}{8}}\right)^{2}[/tex]

Divide [tex]-1[/tex] by [tex]- \frac{1}{8}[/tex]. The result will be [tex]8.[/tex]

[tex]\left(-\left(-8\right)\right)^{2} \\= 8^{2}[/tex]

Calculate [tex]8[/tex] to its square which is [tex]64.[/tex]

[tex]8^{2}\\=\boxed{\bf\: 64} \: \:\mathrm{(3^{rd} \: option)}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

help i need help i mark branliest

Answers

Answer:

48°

Step-by-step explanation:

Vertically opposite angles are equal. Angle 7 is vertically opposite to angle 5.

Answer:

The measure of angle 7 is 48 degrees

Step-by-step explanation:

Angle 5 and 7 are opposite angles. Opposite angles are congruent.

(2x > 10) list some values for x that would make this inequality true

Answers

Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

I think that I am right and also think this will helpful to you.....

need help with geometry (number 20)

Answers

Answer: A

Step-by-step explanation:

Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.

Therefore, the measure of angle 1 is equal to 25 degrees.

Find the points on the ellipse
3x2 + y2 = 3
that are farthest away from the point (1, 0).

Answers

This question has to do with the Mathematical sub-topic in Geometry called Ellipse.

What is an Ellipse in Maths?

An ellipse is a circle that has been stretched in one direction so that it is no longer symmetrical but oval in shape.

How does one find the points on the ellipse?

Let us assume that the points on the ellipse is (cosθ, √3 sinθ)

Next let's minimize their distance squared from (-1, 0)  taking a point on the ellipse as (cos θ- -1)² + (√3 sin θ)² =

cos²θ + 2cos θ + 1 + 3 sin² θ

(Substituting sin² θ + cos² θ = 1)

2 + 2 cos θ + 2 sin² θ

The derivative is given as

-2 sin θ + 4 sin θ cos θ =

-2 sin θ (2 cos θ - 1)

The above translates to 0 at sin θ = 0 or cos θ = 1/2, which results in 0°, 180°, 60°, 300°

Assuming we re-write the first derivative as - 2sin θ+ 2sin 2θ, the second derivative becomes:

-2 cos θ + 4 cos 2 θ

At 0°, 180°, 60°, 300°, we get 2, 6, -3, -3.

Therefore, our relative minima is given at 0°, 180°, while the relative maxima at 60°, 300°.

It is safe to declare, therefore that due to the nature of the function, the global minima and maxima will be among the four locations indicated above.

In addition to that,, 180° is the global minimum. This is because it is at the actual point, while  60° and 300° give the same value of the distance squared, thus both will each be maxima.

(cos θ, √3 sin θ) at  60°, 300° is (1/2, 3/2) and (1/2, -3/2)

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find the value of 6y - 1 given that 17y - 8 = 9​

Answers

it is yo mama x 666666

Answer:

5

Step-by-step explanation:

if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.

So, y=1

Then, plug that value into the new equation 6y-1.

You recieve 6(1)-1

Therefore, the value of the new equation is 5

What is the probability of landing a C, 4 when spinning these spinners at the same time?

Answers

Answer:21%

Step-by-step explanation:21%

Plutonium-240 decays according to the function Q(t) = Qoe^-kt
where Q
represents the quantity remaining after t years and k is the decay constant,
0.00011... To the nearest 10 years, how long will it take 36 grams of
plutonium-240 to decay to 12 grams?

Answers

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

__

  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

Find the surface area of a triangular prism. 16 cm., 20cm.,12cm.,10cm.

Answers

The answer is 672cm squared
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