The diameter of a circle is 17 ft. Find its area to the nearest whole number.

Answer:

\(y=-\frac{2}{3}x+1\)

Step-by-step explanation:

Parallel means same slope.

\(y=-\frac{2}{3}x+b\)

\(5=-\frac{2}{3} (-6)+b\)

5 = 4 + b

b = 1

\(y=-\frac{2}{3}x+1\)

They bought 3 tickets! Hope this helps :) ✨

Answer: 0.045%

Step-by-step explanation:

The balance after 3 years is $552.50.

We have,

To find the interest earned, we can use the simple interest formula:

I = Prt

where I is the interest earned, P is the principal (starting amount), r is the interest rate (as a decimal), and t is the time (in years).

Substituting the given values, we get:

I = 500 x 0.035 x 3

I = $52.50

Therefore, the interest earned is $52.50.

To find the balance, we need to add the interest earned to the principal:

Balance = Principal + Interest

Balance = $500 + $52.50

Balance = $552.50

Therefore,

The balance after 3 years is $552.50.

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Answer:

1st Option

Step-by-step explanation:

Step 1: Convert radicals to exponents

\(\frac{(x^2)^{\frac{1}{7}} }{(y^3)^{\frac{1}{5} }}\)

Step 2: Multiply exponents

\(\frac{x^{\frac{2}{7} } }{y^{\frac{3}{5} } }}\)

Step 3: Move the y term

\((x^{\frac{2}{7} })(y^{\frac{-3}{5} })\)

The given number is

Here we need to use a power property

As you can see, the property allows us to move the position of the power in order to have a positive exponent. Let's do that

Answer:

\( x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}\)

Step-by-step explanation:

This kinda Questions can be easily done using the Quadratic formula or Shreedhacharya's Formula . Which is used to find the roots of a quadratic equation in Standard form of ax² + bx +c = 0 .

Wrt . Standard form ,

\(\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\implies x = \dfrac{-3\pm \sqrt{3^2-4(1)(5)}}{2(1)}\\\\\implies x = \dfrac{-3\pm \sqrt{9+20}}{2} \\\\\implies \boxed{\boxed{ x = \dfrac{3+\sqrt{29}}{2},\dfrac{3-\sqrt{29}}{2}}}\)

This is our required answer.

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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Give an example of a proportion that uses the numbers 2, 3, 4 and 6.

2:3 is the same as 4:6

Proportion says that two ratios (or fractions) are equal.

The decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.

To determine the decimal value of the 2 in the hexadecimal number F42AC16, we need to understand the positional value system of hexadecimal numbers. In hexadecimal, each digit represents a power of 16. The rightmost digit has a positional value of 16^0, the next digit to the left has a positional value of 16^1, the next digit has a positional value of 16^2, and so on.

In the given hexadecimal number F42AC16, the 2 is the fifth digit from the right. Its positional value is 16^4. Calculating the decimal value: 2 * 16^4 = 2 * 65536 = 131,072. Therefore, the decimal value of the 2 in the hexadecimal number F42AC16 is 131,072.  None of the provided options (a) 409610, b) 51210, c) 25610, d) 210) matches the correct decimal value of 131,072.

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To factor the expression (3x-2)-3(3x-2), we factored out the common factor of (3x-2) to get -2(3x-2). To substitute y = (3x-2) into this expression, we rewrote it as -2y, which is the same as the original expression but with y replacing (3x-2).

For the expression (3x-2)-3(3x-2), we can factor out the common factor of (3x-2) to get:

(3x-2) - 3(3x-2) = (3x-2)(1-3) = -2(3x-2)

Therefore, -2(3x-2) is the factored form of the expression (3x-2)-3(3x-2).

To substitute y = (3x-2) into this expression, we can rewrite it as:

-2(3x-2) = -2y

This is the same as the original expression, but with y replacing (3x-2).

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A.Vinegar and soda

-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.

-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,

Answer: The appropriate hypotheses for this significance test are:

Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.

Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.

The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

hope this helps!

Answer:

I'm assuming it's asking to simplify, so if that's the case, then you multiply the numerator by 5 and get 5(-2/3)= -10/3.

The surface area of a cylinder is found using the following formula:

Replace for the given values of radius and height:

It means that the surface area of the cylinder is 622.

The correct answer is D. 622 sq units.

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

The geometric mean between 5 and 125 will be 25.

What is geometric mean?

The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.

The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values. In essence, we multiply the numbers collectively and take the nth root of the resulting multiplied numbers, where n is the total number of data values.

The given number is 5, 125.

So the Geometric Mean willl be (5*125)\(.^{1/2}\)

So \((625)^{1/2}\)

= 25

Hence, the geometric mean between 5 and 125 will be 25.

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Answer:

The stenographer will type 80 words.

The answer for the following question is 0.7

Answer: 0.7

Step-by-step explanation:

Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

The cost of the entrance ticket for a child is $12.80.

Using algebraic expression and equation, we can express each statement and determine the cost of the entrance ticket for a child

Let x = cost of the entrance ticket for a child

y = cost of the entrance ticket for an adult

If the cost of the entrance tickets to the zoo for 2 adults and 3 children is $78.80, then we can express this as:

3x + 2y = $78.80     (equation 1)

If the cost of the entrance tickets for 1 adult and 1 child is $33.10, then we can express this as:

x + y = $33.10     ⇒     x = $33.10 - y     (equation 2)

Substitute equation 2 to equation 1 and solve for y.

3x + 2y = $78.80     (equation 1)

3($33.10 - y) + 2y = $78.80

$99.30 - 3y + 2y = $78.80

3y - 2y = $99.10 - $78.80

y = $20.30

Substitute the value of y to equation 2 and solve for x.

x = $33.10 - y     (equation 2)

x = $33.10 - $20.30

x = $12.80

cost of the entrance ticket for a child = $12.80

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By using the concept of testing of hypothesis, it can be calculated that

The required test statistic is t = 0.918

What is testing of hypothesis?

Suppose, there is a hypothesis and there is a data at hand. Testing of hypothesis is a method of inferencing which is used to decide whether the given hypothesis is true or not based on the statistical data given

From the table attached here, it can be calculated that

\(\bar{x}_{2012}=365.4667\\s^{2}_{2012}=27133.66364\\\bar{x}_{2013}=331.775\\s^{2}_{2013}=29750.53782\\n_{2012}=45\\n_{2013}=40\\\)

So the test statistic t is

\(\large t=\frac{\bar{x}_{2012}-\bar{x}_{2013}}{\sqrt{\frac{s^{2}_{2012}}{n_{2012}}+\frac{s^{2}_{2013}}{n_{2013}}}}\)

\(t=\frac{365.4667-331.775}{\sqrt{\frac{27133.66364}{45}+\frac{29750.53782}{40}}}\)

\(t \large =\frac{33.6917}{36.6978711}\)

t = 0.918

The value of the test statistic is 0.918

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Answer:

6

Step-by-step explanation:

60÷6 = 10

so we know the right side of the equal sign must equal 10

36÷6 = 6

now we know that (24÷n) must equal 10-6

we can write and equation like this:

24/n = 4

cross-multiply to get:

4n = 24

n = 24/4

n = 6

Answer:

60 ÷ 6 = ( 36 ÷ 6) + (24 ÷ ___)

10 = 6 + (24÷6)

10 = 6 + 4

10 = 10

The theoretical probability of an event is the likelihood of that event occurring. Knowing the theoretical probability of an event can help people make informed decisions in their lives.

It is calculated by dividing the number of desired outcomes by the total number of possible outcomes. For example, if a wheel is spun once, the probability of getting the number zero is 1/8. This is calculated by dividing the number of desired outcomes (1) by the total number of possible outcomes (8). Mathematically, this can be written as: P(zero) = 1/8.In this equation, P stands for probability and zero is the desired outcome. The probability of getting the number zero is 1/8, or 12.5%. This means that there is a 12.5% chance of getting the number zero when spinning the wheel once. Theoretical probability is an important concept in mathematics and is used in many different applications. It is used to calculate the odds of winning in games of chance, the likelihood of a certain outcome in an experiment, and the expected value of investments. Knowing the theoretical probability of an event can help people make informed decisions in their lives.

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Answer:

N(-4, 1)

Step-by-step explanation:

Counterclockwise means anti clockwise.

Now, when rotated by 90° about the origin, the point N will be in the second quadrant starting clockwise from the 0 - 90° quadrant

When it's rotated counterclockwise by another 90°, it will be at the first quadrant starting clockwise from the 0 - 90° quadrant

When it's rotated another 90°, it will be located in the 4th quadrant starting clockwise from the 0 - 90° quadrant.

Thus, after 270° N will be in the 4th quadrant starting clockwise from the 0 - 90° quadrant.

Therefore, the coordinates of N at that point will be;

On x - axis: -4 units

On y - axis: 1 unit

Thus coordinates are;

N(-4, 1)

Step-by-step explanation:

ranges are,

-1 , -11 and 7

hope this answer helps you dear!

Answer:

R = { - 11, - 1, 7 }

Step-by-step explanation:

Substitute the values from the domain into f(x) for range

f(2) = - 2(2)² + 7 = - 2(4) + 7 = - 8 + 7 = - 1

f(- 3) = - 2(- 3)² + 7 = - 2(9) + 7 = - 18 + 7 = - 11

f(0) = - 2(0)² + 7 = - 2(0) + 7 = 0 + 7 = 7

Then

R = { - 11, - 1, 7 }

Answer:

14 apple pies

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

7x + 3x = 180° (corresponding angles, sum of adjacent angles on a straight line)

10x = 180

x = 18