5. What is the diameter of the
circle whose circumference is
24(pi) units?

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

x = 6

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

24 = 1/2 (8)x

24 = 4x

Divide each side by 4

24/4 = 4x/4

6 =x

Answer:

\(b<4\)

Step-by-step explanation:

\(20b<80\)

\(\frac{20b}{20}<\frac{80}{20}\) (Divide both sides of the inequality by \(20\) to get rid of \(b\)'s coefficient)

\(b<4\) (Simplify)

Hope this helps!

The given differential equation is not linear because it involves the product of x and t. However, it is separable, and we can integrate both sides to find the solution.

The given equation is 9xt(dx/dt) = e^x. To determine whether this equation is separable, linear, or both, we need to rearrange it into a standard form.

Dividing both sides by 9xt, we get:

(dx/dt) = e^x / 9xt

This equation is not linear because it involves the product of x and t in the denominator. However, it is separable because we can separate the variables x and t by writing the equation as:

9xt(dx/dt) = e^x

9x dx = e^x dt/t

Integrating both sides, we get:

4.5x^2 = ln|t| + C

where C is the constant of integration.

Therefore, the given equation is separable but not linear.

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Answer:

a. 9,416.9 mm²

Step-by-step explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)

Answer:

Question a:

\({ \rm{kinetic \: energy = \frac{1}{2} m {v}^{2} }} \\ \)

• then let's make m the subject:

\({ \rm{E = \frac{1}{2}m {v}^{2} }} \\ \\ { \rm{m {v}^{2} = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^{2} } }}}}}} \\ \)

Answer: m = 2E/v²

Question b:

\({ \rm{m = \frac{2E}{ {v}^{2} } }} \\ \\ { \rm{m = \frac{(2 \times 2500)}{ {10}^{2} } }} \\ \\ { \rm{m = \frac{5000}{100} }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}\)

Answer: mass is 50 kg

After carrying out the calculations on the volume of the container, we found the following values:

For the letter a, we can find the length and width of the container by factoring the given polynomial. So let's factor X:

Next, let's factor the quadratic expression inside the parentheses:

The polynomial can be written as:

Thus, the dimensions of the container are:

For the letter b, p to find the ratio of the three dimensions when x = 2, we simply substitute x = 2 into the expressions we found for length, width and height:

So the ratio between the dimensions is:

Therefore, after the calculations, we find the answer for the letter c, since the ratio of the three dimensions will not be the same for all values of x. As x varies, the expressions for length, width, and height also vary, leading to different dimension ratios.

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Answer:

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

Step-by-step explanation:

What we need to know:

1) Find the slope of line P

The slope of a line is equal to the \(\frac{rise}{run}\), or the number of units the line moves up over the number of units the line moves to the right.

We can see that for line P, for every 2 units it moves to the right, it moves up 3 units.

Therefore, the slope of line P is \(\frac{3}{2}\).

Knowing this, the equation of a line parallel to line P would have a slope of \(\frac{3}{2}\) as well. Plug this into \(y=mx+b\) as m:

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

2) Plug the given point Q into \(y=\frac{3}{2} x+b\)  to find the y-intercept (b)

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

Plug in point Q (2,4)

\(4=\frac{3}{2} (2)+b\\4=\frac{6}{2}+b\\4=3+b\)

Subtract 3 from both sides

\(4-3=3+b-3\\1=b\)

Therefore, the y-intercept of this line (b) is 1. Plug this back into our original equation:

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

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

I hope this helps!

Closed-end

You can answer "yes" or "no" to the completed question. Or, the number of answers is limited (eg A, B, C, or all of the above). Closed-end questions are often suitable for voting, as response rates are high when users don't have to type too much.

Closed-end questions are defined as question types that require respondents to choose from a specific set of predefined answers. B. Between "yes/no" or fixed multiple-choice questions. In a typical scenario, closed-end questions are used to collect quantitative data from respondents.

An indefinite definition represents a situation or question with a predetermined number of results. An example of a closed ending is the question "Do you need help?" This usually has only four answers-yes, no, maybe, or not.

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The area is 264.63 square millimeters.

To find the area of the hendecagon, we need to know its apothem (the distance from the center of the circle to the midpoint of any side) and its perimeter (the total length of all 11 sides).

To find the apothem, we can draw radii from the center of the circle to the midpoint of each side of the hendecagon. This will divide the hendecagon into 22 congruent isosceles triangles. The apothem is the height of one of these triangles. To find the height, we can use the Pythagorean theorem:

height² + (7.46/2)² = (7.46)²

height² = (7.46)² - (7.46/2)²

height ≈ 6.44

So the apothem is approximately 6.44 millimeters.

To find the perimeter, we can multiply the length of one side (7.46 mm) by 11:

perimeter = 7.46 × 11 = 82.06

Now we can use the formula for the area of a regular polygon:

area = (apothem × perimeter) / 2

area = (6.44 × 82.06) / 2 ≈ 264.63

Therefore, the area of the hendecagon inscribed in the Susan B. Anthony dollar coin design is approximately 264.63 square millimeters. Rounded to the nearest hundredth, the area is 264.63 square millimeters.

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Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

Using the concept of probability, the likelihood of the given events using the two-way table are :

0.233

0.775

0.575

The events are not independent

Here, we have,

From the two-way table :

P(English IV) = 0.233

Part B :

P(11th grader takes English 11 or English 111)

=0.755

Part C:

P(English 3 | 11th grade) = 0.575

Part D :

Let :

A = student takes English 1

B = student ls a 10th grader

The events are independent if :

P(AnB) = p(A) × p(B)

P(AnB) = 0.082

P(A) × P(B) = 0.0512

Hence, (AnB) ≠ p(A) × p(B)

Therefore, the events are not independent.

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Answer:

40

Step-by-step explanation:

20 - 40 = -20

Using zero as a reference point 20 is 20 units above zero and -20 is 20 units below zero.

20 + 20 = 40

-20 and 20 are 40 units away from each other.

-20 is 40 less than 20

Answer:

f

Step-by-step explanation:

The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

The null hypothesis, often known as H₀, is the assertion that there is no difference between two sets of data or variables under analysis, or that there is no relationship between them. Because there is no underlying causative relationship, the null hypothesis holds that any experimentally detected difference is merely the result of chance; therefore, the name "null."

We can create a z-test hypothesis by assuming that the amount of rain produced by thunderheads follows a distribution that is nearly normal:

300 acre feet is the null hypothesis for the average quantity of rain that thunderheads produce on their own without fertilizing the clouds.

Alternative Hypothesis: The amount of rain that thunderheads often produce by seeding the clouds is greater than 300 acre feet.

This test has a right tail.

So, The conditions are not met by the extreme outliers, hence we are unable to draw inferences based on the statistical output presented above.

So, option e is correct.

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Answer:

5

Step-by-step explanation:

The probability that at least one household in the sample of 25 has an annual property tax bill of at least $17,000 is 97.36%.

The above scenario describes a normal distribution with a mean of $15,000 and a standard deviation of $4,000. A simple random sample (SRS) of 25 households has been taken from this distribution.

A normal distribution with a specified mean and standard deviation can be used to find the probability of any value. In this case, we can use the normal distribution to find the probability that a randomly selected household will have an annual property tax bill of a certain value.

For example, the probability that a randomly selected household has an annual property tax bill of at least $17,000 can be calculated as follows:

First, we need to calculate the z-score of this value. The z-score is calculated by subtracting the mean from the value and dividing by the standard deviation:

z-score = ($17,000 - $15,000) / $4,000 = 0.5

Then, we use a normal distribution table to calculate the probability that the randomly selected household has an annual property tax bill of at least $17,000.

Using the table, the probability that a randomly selected household has an annual property tax bill of at least $17,000 is 0.6915.

Since a simple random sample of 25 households were selected, the probability that at least one household in the sample has an annual property tax bill of at least $17,000 is 1 - (1 - 0.6915)^25, which is 0.9736.

Therefore, the probability that at least one household in the sample of 25 has an annual property tax bill of at least $17,000 is 97.36%.

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Answer:

3

Step-by-step explanation:

You have 3 lots of 2 1/4 to get as close to 7 7/8 without going over it. Meaning thats how many batches you can make.

The monthly payment for the car loan is $333.35, and the sum of the payments over the 6-year term is $23,999.20.

The correct option is c) $333.35.

To calculate the monthly payment for a car loan, we can use the formula for the monthly payment on an amortizing loan:

Monthly payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

P = Principal amount (loan amount - down payment)

r = Monthly interest rate (annual interest rate / 12)

n = Total number of months

Principal (P) = $21,000 - $2,000 = $19,000

Annual interest rate = 4.5%

Number of months (n) = 6 years * 12 months/year = 72 months

Let's calculate the monthly payment:

Step 1: Convert the annual interest rate to a monthly interest rate:

Monthly interest rate (r) = 4.5% / 12 = 0.045 / 12 = 0.00375

Step 2: Calculate the monthly payment using the formula:

Monthly payment = $19,000 * (0.00375 * (1 + 0.00375)^72) / ((1 + 0.00375)^72 - 1)

Using the given values, we can calculate the monthly payment.

Monthly payment = $19,000 * (0.00375 * (1 + 0.00375)^72) / ((1 + 0.00375)^72 - 1)

Calculating this expression will give us the monthly payment.

Using a calculator or spreadsheet software, we find that the monthly payment is approximately $333.35.

Therefore, the correct answer is:

c) $333.35

As for the sum of the payments, we can simply multiply the monthly payment by the total number of months:

Sum of payments = Monthly payment * Number of months = $333.35 * 72 = $24,001.20

Therefore, the sum of the payments over the 6-year loan term is approximately $24,001.20.

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Well when you take x*5 and put that into a glizzy then you swallow it whole the answer will come out to about answer B

Answer:

Below.

Step-by-step explanation:

1.   You can construct a square knowing only 1 measurement, the length of each side.

2. Also a rectangle can be constructed only knowing 2 measurements: the length and the width.

Answer:

The area of the circle is 30.25π cm^2.

Step-by-step explanation:

The circumference of a circle is equal to the diameter of the circle times π. Therefore, if the circumference of the circle is 11π cm, the diameter must be 11 cm.

The formula for the area of a circle is A = πr^2, where r is the radius of the circle. The radius of the circle is half the diameter, so the radius is (1/2) * 11 cm = 5.5 cm.

Substituting this value for r into the formula for the area of a circle, we get:

A = π * (5.5 cm)^2

= π * 30.25 cm^2

= 30.25π cm^2

Therefore, the area of the circle is 30.25π cm^2.

Answer: See explanation

Step-by-step explanation:

Point slope form: y - y₁ = m (x - x₁)

y₁ = 6

x₁ = -7

y - 6 = -1 (x - [-7])

y - 6 = -1 (x + 7)

y - 6 = -1x - 7

Add 6 to both sides

y = -1x - 1    or    y = -x -1

Slope intercept form: y = mx + b

m = -1

b = 6

y = -1x + 6  or   y = -x + 6

Standard form: Ax + By = C

Change slope intercept form into _x + _y = c

Slope intercept form: y = -x + 6

Standard form:

y = -x + 6

Add x to both sides

x + y = 6    or   -x - y = -6

Hope I helped!

Answer: A

Step-by-step explanation: If he is in debt 10$ and later pays back the 10$ he is at 0 total debt (Equation: -10x + 10x = 0

(Debt means : he owes money).   (Brainliest Please)

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.

For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.

A we cannot repeat the digits, so, first five digits will be:

10 × 9 × 8 × 7 × 6

Now the next 1 digit will all be letter all being different

There are 26 letters in the alphabet.. for our second digit we have 26 choices,

Here is the whole calculation:

= 10 × 9 × 8 × 7 × 6 × 26

= 786240

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total cost of the hotels is 2,296

Answer:

hahshdbdndjksosondndndud

1. In the context of spacetime, the locus of points equidistant from the origin of a spacetime plane is a hyperbola.

In Euclidean space, the distance between two points is given by the Pythagorean theorem, which only considers spatial dimensions. However, in spacetime, the concept of distance is extended to include both spatial and temporal components. The spacetime distance, also known as the interval, is given by the Minkowski metric:

ds^2 = -c^2*dt^2 + dx^2 + dy^2 + dz^2,

where c is the speed of light, dt represents the temporal component, and dx, dy, dz represent the spatial components.

To determine the locus of points equidistant from the origin, we need to find the set of points where the spacetime interval from the origin is constant. Setting ds^2 equal to a constant value, say k^2, we have:

-c^2*dt^2 + dx^2 + dy^2 + dz^2 = k^2.

If we focus on a spacetime plane where dy = dz = 0, the equation simplifies to:

-c^2*dt^2 + dx^2 = k^2.

This equation represents a hyperbola in the spacetime plane. It differs from a circle in Euclidean space due to the presence of the negative sign in front of the temporal component, which introduces a difference in the geometry.

Therefore, the locus of points equidistant from the origin in a spacetime plane is a hyperbola.

(Note: The explanation provided assumes a flat spacetime geometry described by the Minkowski metric. In the case of a curved spacetime, such as that described by general relativity, the shape of the locus of equidistant points would be more complex and depend on the specific curvature of spacetime.)

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