The diameter of a circle is 12 miles. What is the circle's area use 3.14

Answers

Answer 1

Step-by-step explanation:

Are of a circle is πr^2

to find the radius r=d/2

=12/2=6r

3.14x6x6

=169.56 cm^2

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Related Questions

Work out 21 as a fraction of 12

Answers

Answer:

see below

Step-by-step explanation:

1 9/12 = > 1 3/4

........

write in standard form
(2×10³)+(4×10²)+(4×10¹)+(4×1)
can somebody answer this please.
c:​

Answers

Answer: 2,444

Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?

Answers

first we add up the number of marbles which would be 1+2+3+3=9 then we do 3/9 and get .33333333 and we would then turn it into a percent 33.33%

[tex]|\Omega|=1+2+3+3=9\\|A|=3\\\\P(A)=\dfrac{3}{9}=\dfrac{1}{3}\approx33,3\%[/tex]

a shopkeeper purchased a TV at ₹15,000 and gives a discount of 20% on its marked prize and still got a profit of 8% . find the marked prize of the TV . ​

Answers

[tex]\huge\sf\underline{Answer} [/tex]

[tex]\sf\longrightarrow selling \: prize \: = \frac{100 + profit\%}{100} \times cp[/tex]

[tex]\sf\longrightarrow \frac{108}{100} \times 15000 = 16200[/tex]

Let the marked prize of the TV be x .

[tex]\sf\longrightarrow discount = 20\% \: of \: x \: = \frac{20}{100}x = \frac{x}{5} [/tex]

We have SP = MP - Discount

[tex]\sf\longrightarrow 16200 \: = \: x - \frac{x}{5} [/tex]

[tex]\sf\longrightarrow 16200 \: = \frac{4x}{5} [/tex]

[tex]\sf\longrightarrow x \: = \: 20250[/tex]

Hence , The marked prize of the TV is 20,250 .

Hope it helps ~


There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the
probability that the mystery books are next to each other, the romance books are next to each other, and the
poetry books are next to each other? (For example, MMRRPP).

Answers

Answer:

Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you 1. 2 M, 2R, 2 P are placed in shelf randomly P(similar a…

View the full answer

Transcribed image text: Your Turn Find the probability using permutation with repetition 1. There are 2 mystery books, 2 romance books, 2 poetry books to be randomly placed on a shelf. What is the probability that the mystery books are next to each other, the romance books are next to each other, and the poetry books are next to each other? (For example, MMRRPP). 2. The school jazz band has 4 boys and 4 girls, and are randomly lined up for a yearbook photo. Find the probability of getting all of the boys grouped together.

Step-by-step explanation:

CORRECT ME IF IM WRONG

What is (f−g)(x)?



f(x)=x^3−3x^2+2x−3

g(x)=4x^2−5x+7



Enter your answer in the box.

(f−g)(x)=

Answers

Answer:

[tex]\large\boxed{\sf x^3 - 7x^2 + 7x - 10}[/tex]

Explanation:

Given:

(a) f(x) = x³ - 3x² + 2x - 3

(b) g(x) = 4x²- 5x + 7

Solve for (f - g)(x) = f(x) - g(x) :

⇒ x³ - 3x² + 2x - 3 - (4x²- 5x + 7)

distribute inside parenthesis

⇒ x³ - 3x² + 2x - 3 - 4x² + 5x - 7

group the variables

⇒ x³ - 3x² - 4x² + 2x + 5x - 3 - 7

add or subtract variables

⇒ x³ - 7x² + 7x - 10

Answer:

x³ - 7x² + 7x - 10

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

f(x) = x³ - 3x² + 2x - 3g(x) = 4x² - 5x + 7

Simplify:

(x³ - 3x² + 2x - 3) - (4x² - 5x + 7)

(x³ - 3x² + 2x - 3) - (4x²) + - (- 5x) - (7)

x³ - 3x² + 2x - 3 - 4x² + 5x - 7

x³ - 3x² - 4x² +2x + 5x - 3 - 7

x³ - 7x² + 7x - 10

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Look at the top 3 banking activities done via mobile banking vs. online banking. what characteristics do you
notice for both?

Answers

The characteristics I notice in top 3 mobile banking vs. online banking. is that:

They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.

What are the top 3 banking activities done via mobile banking?

They are:

Checking of an account balance or checking recent transactions.Downloading of mobile banking app.Transferred money between two accounts.

The top 3 banking activities done via online banking are:

Transferring of fundsLooking at account balances at any time.Looking or printing statements.

Therefore, the characteristics I notice in top 3 mobile banking vs. online banking. is that:

They are both flexible.They are both used for transferring fundsThey can both be used to Online bill pay.Both can be used to monitor account.

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A book is chosen randomly. complete the steps to find the probability that the book is nonfiction given that it is hard-covered. find the probability that a chosen book is nonfiction and hard-covered. p(n ∩ h) = find the probability that a chosen book is hard-covered. p(h) = calculate the conditional probability. startfraction p (n intersection h) over p (h) endfraction =

Answers

The probability that the book is nonfiction given that it is hard-covered is 4/11

How to determine the probability?

From the complete question, we have:

Total = 20

n(H ∩ N) = 4

n(H) = 11

This means that:

P(H ∩ N) = n(H ∩ N)/Total

So, we have:

P(H ∩ N) = 4/20

The conditional probability is then calculated using:

P(N | H) =4/20 ÷ 11/20

Evaluate

P(N | H) = 4/11

Hence, the probability that the book is nonfiction given that it is hard-covered is 4/11

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Answer:

Step-by-step explanation:

4/20

11/20

4/11

yw :)

What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)

Answers

The circumference of the circle is 75.36 cm.

Step 1: Given data:

Diameter of the circle is 24 cm,

[tex]\pi = 3.14[/tex]

Step 2: Formula used and calculation:

Circumference of the circle is [tex]2\pi r[/tex].

So, Radius, r = 24/2 = 12 cm.

Now, Putting the value in the above formula, we get

2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.

Hence, the circumference of the circle is 75.36 cm.

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Amy and alexis share a pizza. amy eats 4/9 and alexis eats 5/12 how much of the pizza is left ? give you answer in the simplest form.

Answers

Exact Form:

5

27

Decimal Form:

0.

¯¯¯¯¯¯

185

i hope this helps please have a nice day/night

Answer:

Exact Form:

5

27

Decimal Form:

0.

¯¯¯¯¯¯

185

i hope this helps please have a nice day/night

Step-by-step explanation:

The mean test score of 12 students is . 42

A student joins the class and the mean becomes .43


Find the test score of the student who joined the class.

Answers

Answer:

45 becasue it has to be over 43

Step-by-step explanation:

The test score of the student who joined the class will be;

⇒ 55

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mean test score of 12 students = 42

And, A student joins the class and the mean becomes 43.

Now,

Total score for 12 students is,

⇒ x / 12 = 42

⇒ x = 42 × 12

⇒ x = 504

Here, A student joins the class and the mean becomes 43.

Let the student who join = y

So, We get;

⇒ (504 + y) / 13 = 43

⇒ 504 + y = 43×  13

⇒ 504 + y = 559

⇒ y = 559 - 504

⇒ y = 55

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Determine when both options will cost you the same amount and how much is that?

Answers

Answer:

after 25 months both options cost $2000

Step-by-step explanation:

the options are the same at the point of intersection of the 2 lines

the lines intersect at (25, 2000)

That is after 25 months both options will cost $2000

Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1 quart (32oz) for $14.99is __________b.unit ratio of 1 gallon (128oz) for $45.99is __________c.which is the better deal?

Answers

Answer:

  a. $0.47 per ounce

  b. $0.36 per ounce

  c. the gallon size costs less per ounce

Step-by-step explanation:

A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.

__

a.

Unit cost for a quart:

  ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz

__

b.

Unit cost for a gallon:

  ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz

__

c.

The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.

If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.


A ball is kicked upward with an initial velocity of 52 feet per second. The ball's height, h (in feet), from the ground Is
modeled by h= -16t^2 +52t where t is measured in seconds. How much time does the ball take to reach its highest
point? What is its height at this point?

Answers

Check the picture below.

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+52}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 52}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (52)^2}{4(-16)}\right) \implies \left( - \cfrac{ 52 }{ -32 }~~,~~0 - \cfrac{ 2704 }{ -64 } \right)[/tex]

[tex]\left( \cfrac{13}{8}~~,~~\cfrac{169}{4} \right)\implies \underset{\stackrel{\uparrow \hspace{3em}}{seconds\qquad }}{\stackrel{\stackrel{\qquad feet}{\hspace{3em}\downarrow }}{\left( 1\frac{5}{8}~~,~~42\frac{1}{4} \right)}}[/tex]

Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
10
6
12
16

Answers

Answer:

see the attachment photo!

The different ways Johnny can improve his meal is 16

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex]  ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given;

Mother tells him he may only make two additions to his meal

First addition; 1C4

Second addition; 1C4

1C4=4

=4x4

=16

Therefore, by combinations and permutations their will be 16ways

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12.34
the measure of one interior angle of a rhombus is [tex]79^{\circ}[/tex] . what are the measures of the other three interior angles?

Answers

Step-by-step explanation:

a rhombus is a parallelogram with 4 identical sides.

it has therefore two pairs of equal angles.

as any quadrilateral the sum of all interior angles is 360°.

(and yes, as add-on, the diagonals bisect each other at right angles).

so, one interior angle is 79°.

that means it has a twin that is also 79°.

together they have 79×2 = 158°.

that leaves

360 - 158 = 202°

for the other 2 angles (they must be equal too).

so, each of them has

202/2 = 101°

so, the other 3 angles are

79°, 101°, 101°

A population of 175 snails is increasing at an annual rate of 12%. what will the population
of the snails be in 10 years? round to the nearest hundreths place.
an...
snails

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &175\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ t=years\dotfill &10\\ \end{cases} \\\\\\ A=175(1 + 0.12)^{10}\implies A=175(1.12)^{10}\implies A\approx 543.52[/tex]

Someone is thinking of two numbers that are natural, and one is bigger than the other one by 10, if you multiply those two numbers you get 375 what are those two numbers.

Answers

Answer:

So the two numbers are {15, 25}.

Step-by-step explanation:

Simultaneous Equations:

xy = 375

x = y + 10

Subsitute the Second One into the First:

(y + 10)y = 375

y^2 + 10y - 375 = 0

y = 15 [and not -25 (natural numbers are not negative)]

Solve for x by Substituing y in the Second Equation:

x = 15 + 10

x = 25

Solution:

So the two numbers are {15, 25}.

Answer:

  15 and 25

Step-by-step explanation:

The given relations between the two numbers allow you to write a system of equations. Algebraic solution of the system involves the solution of a quadratic equation. The numbers are "natural numbers", so are both positive integers.

__

setup

Let x and y represent the smaller and larger of the two numbers, respectively. The given relations are ...

  y = x +10 . . . . . . the larger is 10 more than the smaller

  xy = 375 . . . . . . their product is 375

solution

Substituting for y in the second equation, we have ...

  x(x +10) = 375

Adding (10/2)² will complete the square.

  x² +10x +25 = 375 +25 . . . . add 25

  (x +5)² = 400 . . . . . . . . . . . write as a square

  x +5 = √400 = 20 . . . . . . positive square root

  x = 20 -5 = 15

  y = x +10 = 25

Those two numbers are 15 and 25.
__

The attachment shows a graphical solution of the equations.

_____

Additional comment

Your number sense tells you that both numbers end in 5. Their geometric mean is √375 ≈ 19.4, so the first numbers that deserve consideration are numbers ending in 5 that are either side of this value: 15 and 25.

You can also consider their arithmetic mean. If that is represented by z, then we have (z-5)(z+5)=375  ⇒  z²-25=375  ⇒  z²=400  ⇒  z=20, and the two numbers are 20±5.

bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled, while mikes snow removal charges 250$ per season plus 15$ per walkway.

using technology, how many walkways must be shoveled to result in equal billing from both companies?

Answers

The number of walkways that must be shoveled to result in equal billing from both companies is 10

Calculating cost

From the question, we are to determine how many walkways must be shoveled to result in equal billing from both companies

Let the number of walkways be x

From the given information,

Bobs snowplow business charges 300$ per season plus 10$ for each walkway shoveled

∴ If x walkways are shoveled

the billing will be $300 + $10x

For Mikes snow removal

Mikes snow removal charges 250$ per season plus 15$ per walkway

∴ If x walkways are shoveled

the billing will be $250 + $15x

Now, we are to determine the value of x for which the billings from both companies will be equal,
That is,

$300 + $10x = $250 + $15x

$15x - $10x = $300 - $250

$5x = $50

x = $50 / $5

x = 10

Hence, the number of walkways that must be shoveled to result in equal billing from both companies is 10.

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Find the value of x for which l is parallel to m 105 (3x-18)

Answers

The value of x for which the lines m and l are parallel is 31 degrees

Parallel lines

The given diagram includes two parallel lines m and l, since the line are parallel hence the sum of the angles 105 and 3x - 18 are supplementary that is;

105 + 3x - 18 = 180

Simplify for the value of x

87 + 3x = 180

3x = 180 - 87

3x = 93

x = 93/3

x = 31

Hence the value of x for which the lines m and l are parallel is 31 degrees

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(10/2)x7+5-4 whats the answer

Answers

Answer:

36

Step-by-step explanation:

Question:

[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]

Solution:

Here, we need to use PEMDAS rule, where:

P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtraction

There's a rule as well, the sum given is need to solved from the left, whichever sign is there.

Solved:

[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]

Solve for parentheses first:

[tex] = 5 \times 7 + 5 - 4[/tex]

Then multiplication of course:

[tex] = 35 + 5 - 4[/tex]

Then addition:

[tex] = 4 0 - 4[/tex]

[tex] =36[/tex]

Hence, the answer is 36.

Please help
Find f(f(x))
f(x)=x^2

Answers

f(f(x)) = x^4.

We know f(x) = x^2, which can be substituted into f(f(x)) like this: f(x^2) = (x^2)^2.

—Using the exponent rule, multiply the powers 2*2=4.
(x^2)^2 = x^4.

Please help I’m begging you!!

Answers

Answer:

Here is the ans ...hope it helps:)

solve for x

4x + 9
16x - 9

Answers

Answer:

9

Step-by-step explanation:

Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:

4x + 9 + 16x - 9 = 180 add like terms

20x = 180 divide both sides by 20

x = 9


URGENT PLEASE ANSWER


2 Increase 280 in the ratio 5:2​

Answers

Answer:

300:288

Step-by-step explanation:

5+2=7

280 /7 = 4

20:8

300:288

rotate 90 dgrees answer me

Answers

Step-by-step explanation:

here, given points are

(-2,-1),(-5,-3),(-5,-4)

now

(X,y)________ (-y,X)

(-2,-1)________ (1,-2)

(-5,-3)________ (3,-5)

(-5,-4)________ (4,-5)

now plot the points in the graphs

Angles A and B are complementary. If sin A = 5x + 9 and cos B = 3x + 21, what is the value of x? (1 point) 2 6 15 39

Answers

The value of x is 6.

What are complementary?

Complementary angles are angles that sum up to 90°.

Analysis:

For angles A and B, to be complementary, the sine of angle A  must be equal to the cosine of angle B.

sin A = cos B

5X+9 = 3x+21

5x - 3x = 21 - 9

2x = 12

x = 6

In conclusion, the value of x to make angles A and B complementary is 6.

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please help!!!!!!!!!!

Answers

i can, first add then take away and u done!

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree.
7
9
12
?
49⁰
O53⁰
41°
37⁰

Answers

Answer:

[tex]41^{\circ}[/tex]

Step-by-step explanation:

[tex]~~~~~~\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\implies \cos \theta = \dfrac{9}{12}\\\\\\\implies \theta = \cos^{-1} \left( \dfrac 9{12} \right)\\\\\\\implies \theta \approx 41^{\circ}[/tex]

Answer:

41°

Step-by-step explanation:

Since the adjacent side and the hypotenuse are given, let's take the cosine ratio of the missing angle.

cos θ = adjacent side / hypotenuse

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

Given :

⇒ Adjacent side = 9

⇒ Hypotenuse = 12

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

Solving :

⇒ cos θ = 9/12

⇒ cos θ = 0.75

⇒ θ = cos⁻¹ (0.75)

⇒ θ = 41.4096221....

⇒ θ = 41° (to the nearest degree)

Which of the following is NOT a rational number?
A
√121
B
√12.1
C
√1.21
D
√0.0121

Answers

Answer:

A rational number is a number that can be expressed as a fraction (the ratio of two integers).  

Integer:  A whole number that can be positive, negative, or zero.

To calculate if each radical can be expressed as a rational number, convert the decimals into rational numbers, then simplify:

[tex]\sqrt{121}=\sqrt{11^2}=11=\dfrac{11}{1} \quad \leftarrow \textsf{rational}[/tex]

[tex]\sqrt{12.1}=\sqrt{\dfrac{1210}{100}}=\dfrac{\sqrt{1210}}{\sqrt{100}}=\dfrac{\sqrt{121\cdot 10}}{10}=\dfrac{\sqrt{121}\sqrt{10}}{10}=\dfrac{11\sqrt{10}}{10} \leftarrow \textsf{not rational}[/tex]

[tex]\sqrt{1.21}=\sqrt{\dfrac{121}{100}}=\dfrac{\sqrt{121}}{\sqrt{100}}=\dfrac{\sqrt{11^2}}{\sqrt{10^2}}=\dfrac{11}{10} \leftarrow \textsf{rational}[/tex]

[tex]\sqrt{0.0121}=\sqrt{\dfrac{121}{10000}}=\dfrac{\sqrt{121}}{\sqrt{10000}}=\dfrac{\sqrt{11^2}}{\sqrt{100^2}}=\dfrac{11}{100} \leftarrow \textsf{rational}[/tex]

Therefore, [tex]\sf \sqrt{12.1}[/tex] is not a rational number.

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