What is the area of a circle that has the radius of 4?

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

You take 1,000 because it's in the thousandths place of 1,255. The value of that one is 1,000 so you multiply that times 100, which is the value of 1 in 82,175.

An equation modeling the population, p, of Ohio given the year, t is,

p = 0.04t + 10.98.

What is population?

The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. This indicator reveals how many people typically reside in a certain area. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration.

Given: In the year 2000, the population of Ohio was 11.03 million people. By the year 2017 the population of Ohio was 11.66 million people.

From this we get, two points (0, 11.03) and (17, 11.66).

First to find the slope using the above two points.

\(m=\frac{11.66 - 11.03}{17-0} = \frac{0.63}{17} = 0.04\)

Now to find the equation,

Consider,

p - 11.66 = 0.04(t - 17)

p - 11.66 = 0.04t - 0.68

          p = 0.04t - 0.68 + 11.66

          p = 0.04t + 10.98

Therefore, the equation modeling the population, p, of Ohio given the year, t is, p = 0.04t + 10.98

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Answer:

$160

Step-by-step explanation:

115% = $184

100% = X

let X be the original salary

(X is unknown)

115% = $184

100% = X

cross mutiply

115 x X = 100 x 184

115X = 18400

X = 18400 divided by 115

X = $160

therefore,Mr Black's original salary before increased by 15% was $160

hope am helpful.

The required unit rate is 30 pounds per box.

To find the unit rate, we need to determine the amount of pounds in each box. We can set up a ratio table to find the relationship between boxes and pounds:

Boxes  Pounds

 0             0

 1             30

 2            60

 3            90

To find the unit rate, we need to determine how many pounds are in one box. We can see from the table that 1 box is equal to 30 pounds. Therefore, the unit rate is:

30 pounds / 1 box

or

30 pounds per box

Thus, required unit rate is 30 pounds per box

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Answer:

Rhombus Side = sqr root [(34 / 2)^2 + (30 / 2)^2]

Rhombus Side = sqr root [17^2 + 15^2]

Rhombus Side = sqr root [289 + 225}

Rhombus Side = sqr root [514]

Rhombus Side = 22.6715680975

Rhombus Perimeter = side * 4 = 90.68627239  cm

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

Turn me into a superhero

Answer:

Step-by-step explanation:

To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.

Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.

5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.

Answer:

In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?

A. left

B. down

C. up

✓D. right

Right is the right answer.

Answer:

Down

Step-by-step explanation:

I took the test and got it right

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

21x³y

Step-by-step explanation:

Step-by-step explanation:

Given that the mean of the numbers is 12

\(mean = \frac{sum \: \: of \: observations}{total \: number \: of \: observations} \)

so here

let's that one as x and another one as 2x since it is given that one is twice the other

Therefore we get

\(mean = \frac{13 + x + 4 + 16 + 6 + 2x}{6} \)

Given mean = 12

\(12 = \frac{39 + 3x}{6} \)

\(72 = 39 + 3x\)

\(3x = 33\)

\(x = 11\)

Hence it's 11 and 22

The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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Write an equation in standard form of the line that passes through the point and has the given slope. ( -2, 4) ; m = -6which of the following best describes the technique used to graph the equation using the slope and y-intercept? y = 5x + 10write the standard form of the equation of the line through the given point with the given slope. point , 4); slope -3/2.

Answer:

The correct answer to this problem would be The number of stitches is 5 times the length.

Step-by-step explanation:

the correct answer is

3x = x + 5

3x - x = 5

2x = 5

x = 5/2

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

The Third Choice

The first thing we have to notice that the given equation is written in Slope-Intercept Form. We can see that the y-intercept is \(-2\). The lines of Second and Third choices intersect the y-axis at \(-2\). We also have to notice that the slope of given equation is negative. This means that when \(x\) increases \(y\) has to decrease. For the line of the second choice, \(y\) increases when \(x\) increases. So, the third choice.

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The assertions relevant for Trade and other receivables are existence, rights and obligations, completeness, and valuation.

Account Assigned: Trade and other receivables

The assertions relevant for Trade and other receivables are existence, rights and obligations, completeness, and valuation.

Existence assertion means that the receivables must exist and they must be recorded in the books of Apple Inc. Rights and obligations assertion means that the receivables must be legally enforceable, and Apple Inc. must have the right to receive the payment from its customers. Completeness assertion means that all the receivables must be recorded in the books of Apple Inc. Valuation assertion means that the receivables must be recorded in Apple Inc.’s financial statements at the correct amount. Valuation can be measured by calculating the amount of receivables as a percentage of total revenue. For example, if the total revenue is $100 million and the total receivables are $20 million, then the receivables are 20% of total revenue.

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Answer:Inverse operation

Step-by-step explanation: an example is 5 x 5. That equals 25 so take 5 and divide that by 5. Inverse operation is important.  

Answer:

A

Step-by-step explanation:

Let x= number of visits she makes

9(number of visits she makes) + 32 (less than or equal to) <= 122

9x+32<= 122

Answer:

12a+20b-12

Step-by-step explanation:

Answer:

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

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Answer:

$2.5/card

Explanation:

Unit price is the price for buying one item.

Here given:

Unit price :-

Recall that an exponential function:

is increasing if k>1 and decreasing if 0

Therefore:

are decreasing functions and

is an increasing function.

Answer: Option C.

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

Answer:

i think,the lcm of x+2 and x-5 is x+2 and x-5 so multiply through by it

(x+2)(x-5)×2/x+2=(x+2)(x-5)×1/x-5

so is 2(x-5)=1(x+2)

then remove bracket by multiplying

2×x-2×5=1×x+1×2

2x-10=x+2

collect like terms

2x-x=10-2

x=8