What is the circumference of a circle whose radius is 16 feet leave answer in terms of pi . Please show ur work because I have too!

The sale price of the shirt is $162.5

A percentage is a number or ratio that can be expressed in the form of a fraction by 100. The percentage of a number is defined as the value of the number out of 100. Percentage does not have any unit of measurement.

If the regular price is $30 and the sale is 45%,it means the $30 represents the other 55% of the sale price. So it can be written as

sale price= 55%×regular price

Here sale price is taken as s

s= 55%×$30

Solving this for s, we get

s= (55/100)×$30

s=0.55×$30

s=$16.5

So, the sale price is $16.5

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$2,560 needs to be invested at time 3 in order to have $3,200 at time 8.

Since the money grows according to the simple interest accumulation function a(t) = 1.05t, the amount of money A at time t, given an initial amount P, can be calculated using the formula:

A = P + Pr(t)

where r is the interest rate (in this case, 5% or 0.05) and t is the time period (measured in years).

To determine how much money needs to be invested at time 3 to have $3,200 at time 8, we can use the above formula and solve for P:

3200 = P + Pr(8-3)

3200 = P + 5P(0.05)

3200 = P + 0.25P

3200 = 1.25P

P = 3200 / 1.25

P = 2560

Therefore, an initial investment of $2,560 at time 3 would be needed to have $3,200 at time 8, assuming a simple interest accumulation function with an interest rate of 5%.

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Answer:

(d) -15

Step-by-step explanation:

Given system of equations are:

\( \begin{cases}kx-5y=2\\\\6x+2y=7\end{cases}\)

Since, given system of equations have no solution.

\( \therefore \frac{k}{6}=\frac{-5}{2} \neq\frac{2}{7}\)

\( \implies \frac{k}{6}=\frac{-5}{2} \)

\( \implies k=\frac{6(-5)}{2} \)

\( \implies k=\frac{-30}{2} \)

\( \implies k=-15\)

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

\((hypotenuse)^2=(perpendicular)^2+(base)^2\)

i.e.

\((17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52\)

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

0 ≤ x ≤ 30

Step-by-step explanation:

In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:

f(x) = 250(1.25)ˣ

Which of the following is a reasonable domain for the function?

0 ≤ x ≤ 250

0 ≤ x ≤ 30

All positive integers greater than 100

All real numbers

Solution:

Given that f(x) = 250(1.25)ˣ, where x is the number of days and f(x) is the population of the birds after x days. This means that at the beginning of the month of September (i.e. at x = 0), the population of the birds was 250. And as each day goes by, the population of the bird increases by a factor of 1.25.

The domain of a function is the set of all possible independent variables. In this case the number of days (x) is the independent variable. Since in the month of September there are 30 days, therefore the domain is:

0 ≤ x ≤ 30

Answer:

x = 52

Step-by-step explanation:

Hello there!

All of the angles in a rectangle are right angles

if a right angle has a measure of 90 degrees then we can find x by subtracting the given angle from 90

90 - 38 = 52 so we can conclude that x= 52

Step-by-step explanation:

Each angle in a quadrilateral is 90⁰ therefore 38⁰+x=90⁰

hence x=90⁰-38⁰ which gives you 52⁰

There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.

We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.

We have 7 letters that can be used as consonants: m,t,h,s,f,n.

First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.

Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144

Finally, we multiply those two values together: 35 * 144 = 5040.

So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.

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Answer:

The correct option is the system of non-linear equations.

Step-by-step explanation:

The correct option is the system of non-linear equations. A system is defined as a group of equations/inequalities with the same variables solved together.

Therefore we exclude point options A and D We have to find points B and point C.

For point B we have refers to a system of linear equations. What is the meaning of the linear equation of a system?

A system of linear equations is usually a set of two linear equations with two variables.

This means that all equations in the system are linear. Therefore, this option is incorrect.  

Option c we have, This option refers to a system of non-linear equations.

Therefore, we can say that at least one of the equations in the systems is non-linear.

This fits the description given in the question.

Therefore, this is the correct option.

Therefore we get, the correct option is the system of non-linear equations.

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

1) Being hit by lightning this year (probability is 1/105) - The probability is the lowest because the odds of being hit by lightning in a given year are relatively low.

2) Guessing a 128-bit key on the first try - The probability of guessing a 128-bit key on the first try is very low because of the large number of possible key combinations.

3) Guessing a 64-bit key on the first try - The probability of guessing a 64-bit key on the first try is lower than guessing a 128-bit key, but still relatively low because of the large number of possible key combinations.

4) Winning a lottery with 1 million (106) contestants five times in a row (the probability is (1/106)5) - The probability of winning a lottery with such large number of contestants is relatively low, but it is still much higher than the first three events.

So the order is:

1) Being hit by lightning this year

2) Guessing a 128-bit key on the first try

3) Guessing a 64-bit key on the first try

4) Winning a lottery with 1 million contestants five times in a row,

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

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Answer

Option C is correct

8x²y³ - 7xy⁴ - 5y

Explanation

The equation to be solved or reduced is

(56x⁴y⁵ - 49x³y⁶ - 35x²y³)/7x²y²

More properly written, the equation is

To solve this, we will break the division down and have each term carry the denominator and use the laws of indices to reduce the powers

Hope this Helps!!!

Given,

the coordinates of the point is P(-4, -1) and N(1, -8).

Required

The distance between the point P and N.

The distance between the point P and N.

Hence, the distance between the points is sqrt(74).

Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

The required relation on R on A is explain below

It is a set where either the quantity of components is large or just beginning or finishing is given. In this way, we mean it with the quantity of components, n(A), and on the off chance that n(A) is a characteristic number, it's a limited set.

Let A be finite non-empty set.

Then the exist relation R on A which is both equivalence and order relation.

Suppose A = {a₁, a₂, a₃........an}

And, R = {(a₁, a₁)(a₂, a₂).......}

R not equal to ∅ and it is reflexive, symmetric, transitive, anti symmetric.

Then R is equivalence relation and an order relation.

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Answer:5/6

Step-by-step explanation:

simplify

The dimensions of the field should be 125m by 100m to enclose the maximum area.

To solve this problem, we can use the fact that the area of a rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. Since the field is to be subdivided into four congruent plots, we can express the width in terms of the length as w = (1/4)(l).

We can then use the fact that the total length of fencing available is 6000m to set up an equation for the perimeter of the rectangle, which is given by P = 2l + 5w. Substituting w with (1/4)(l), we get P = 2l + 5((1/4)(l)) = (9/2)l.

Solving for l in terms of P, we get l = (2/9)P. Substituting this expression for l into the equation for the area, we get A = (1/4)(l)(w) = (1/4)(l)((1/4)(l)) = (1/16)l^2.

We can now express the area in terms of P as A = (1/16)((2/9)P)^2 = (4/81)(P^2). To find the maximum area, we can take the derivative of A with respect to P and set it equal to zero, which gives dA/dP = (8/81)P = 0. This implies that P = 0 or P = 81/8. Since P cannot be zero, we have P = 81/8.

Substituting this value of P back into the equation for l, we get l = (2/9)(81/8) = 18.75. Finally, substituting l and w = (1/4)(l) into the equation for A, we get A = (1/16)(18.75)(4.6875) = 117.1875. Therefore, the dimensions of the field should be 125m by 100m to enclose the maximum area.

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Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

The differentiation  is y' = [(1/x) - 15x^4y^2] / [6x^5y - (2y/x)].

To find y' using implicit differentiation, we first need to take the derivative of both sides of the equation with respect to x. This means we will be treating y as a function of x and using the chain rule when taking the derivative of the terms involving y.

Starting with the left-hand side, we have:

d/dx (3x^5y^2) = 15x^4y^2 + 6x^5y * (dy/dx)

For the right-hand side, we will need to use the product rule and the chain rule:

d/dx (In(xy^2)) = (1/xy^2) * (y^2 * (dx/dx) + x * 2y * (dy/dx))
                 = (1/x) + (2y/x) * (dy/dx)

Combining the derivatives from both sides, we get:

15x^4y^2 + 6x^5y * (dy/dx) = (1/x) + (2y/x) * (dy/dx)

Simplifying and solving for y', we get:

y' = [(1/x) - 15x^4y^2] / [6x^5y - (2y/x)]

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The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

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Answer:

x = 17

Step-by-step explanation:

Since 2 sides of the triangle are congruent then it is isosceles, so

The 2 base angles are congruent, both 29°, thus

11x - 65 = 180 - (29 + 29) = 180 - 58 = 122 ( add 65 to both sides )

11x = 187 ( divide both sides by 11 )

x = 17

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

\(A=p(1+r)^t\)

substituting we have

\(A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\\)

The final amount is $110.25

Answer:

-23

Step-by-step explanation:

Common difference = 2nd term - 1 st term

                                = -8 - (-3)

                                = -8 + 3

                               = -5

To get the next term add (-5) to the previous term

5th term = (-18) + ( (-5) = -23

The function that is positive for the entire interval [–3, –2] is the graph of the function (b)

See attachment for the proper representation of the available options

For a function to be positive on the interval [-3,-2];

It means that the y values must be in the positive quadrant from x = -3 to x =-2

From the list of options, we have:

The y values from x = -3 to x =-2 is at the positive quadrant for the second graph i.e. option B

Hence, the function that is positive for the entire interval [–3, –2] is the graph of the function (b)

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Answer:

y= -2/3x + 1

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

this is hard so ima go with [2/-2] [-2/2] [1/-1] [-3/3]

Step-by-step explanation:

cause ordered pairs have a negative and a positive with same number

ya YEET fellow peep (╯°□°）╯︵ ┻━┻

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

\( \textsf{As per the given figure, observations can be made} \) \( \textsf{that : } \)

\( \textbf{1.) Two sides of the given triangle are equal.} \)

\( \textbf{2.) All the three angles are less than 90° } \)

\( \textsf{So, to sum it up, it can be said that the } \)\( \textsf{triangle is both Isosceles and acute } \)\( \textsf{angled triangle.} \)

Answer : A.) acute and isosceles, but not equilateral

Answer:

Acute and Isosceles, but not equilateral.

Step-by-step explanation:

First, let us address equilateral. Equilateral triangles assumes by definition that all triangle sides are symmetrical (60° in measurement), and that all side lengths are congruent (the same length). As shown in the picture, it is not a equilateral triangle, as there is only a pair of congruent sides.

Therefore, the given triangle is a isosceles triangle, which by definition calls for having two sides of equal length, and two equal angles.

Next, we are solving for whether or not the triangle angles are obtuse or acute. Acute angles measure less than 90° (The measurement of a right angle). Obtuse angles, on the other hand, measure more than 90°. In this case, all sides are less than 90°, per definition of isosceles triangle.

Therefore, the given triangle is acute.

Your answer is Acute and isosceles, but not equilateral.