What is the radius of a circle with equation x² y² 81?

According to the given data we have the following:

running pace is 3.75 mph

going to run at least 1.5 miles

Therefore, to calculate the amount of hours will the person have to run we would make the following calculation:

amount of hours will the person have to run=1.5/3.75 mph

amount of hours will the person have to run=0.4

Therefore, the amount of hours the person will have to run will be 0.4 hours

The answer is C. when you plug in your equation you should get a decimal but make sure to round up or down to the nearest WHOLE number so it would be C.

Answer:

100 square meters

Step-by-step explanation:

\( {x}^{2} + 6x + 8x = 240\)

\( {x}^{2} + 14x = 240\)

\( {x}^{2} + 14x - 240 = 0\)

\((x - 10)(x + 24) = 0\)

\(x = 10\)

x = -24 will not work (it is extraneous).

\( {x}^{2} = 100\)

So the area of the square region is 100 square meters.

Answer:

f(x)=x-2

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}

Range: (−∞,∞),{y|y∈R}

g(x)=x^2-3x+2

Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}

Range: [−1/4,∞),{y∣y≥−1/4}

Step-by-step explanation:

Area of circle =   pi r^2

10 inch = pi (5)^2 = 25 pi

12 inch = pi (6)^2 = 36 pi

12 inch is 11pi bigger

    percentage:  11 pi is what percentage of 25 pi ?

        11 pi / 25 pi x 100%  = 44 % bigger

The area of a pizza increases with the square of the diameter. Therefore, a 10-inch pizza has an area of \(π*(10/2)^2= 78.54\)  square inches, and a 12-inch pizza has an area of \(π*(12/2)^2 = 113.10\) square inches. This is an increase of 113.10 - 78.54 = 34.56 square inches, or an increase of 44.2%.

To explain further, the diameter of a pizza is measured from one side to the other through the center of the pizza. As the diameter of the pizza increases, the area of the pizza increases. This is because the area of a pizza is calculated as \(π*(d/2)^2\), where d is the diameter. So, if the diameter increases, the area increases as well.

For example, if a 10-inch pizza has an area of 78.54 square inches, a 12-inch pizza would have an area of 113.10 square inches. This is an increase of 113.10 - 78.54 = 34.56 square inches, or an increase of 44.2%. This is because the diameter of the pizza has increased by 2 inches (10 inches to 12 inches), and the area has increased by 44.2%.

It is important to note that increasing the diameter of the pizza does not just increase the circumference of the pizza, but also the area. The increase in area is directly related to the increase in diameter, and can be calculated by taking the difference between the areas of the two pizzas.

To know more about  area refer here:

https://brainly.com/question/11952845

#SPJ11

Answer:

3x−2y=−28

Step-by-step explanation:

Answer:

f(x)= 2/3. (x-5)3/2 +2x +C

Step-by-step explanation:

I'm not sure...

Answer:

2

Step-by-step explanation:

3(7x+14)=84

21x+42=84

21x=84-42

21x=42

x=42/21

x=2

Step-by-step explanation:

x^2-25=

\( {x}^{2} - 25 = (x - 5)(x + 5) \)

The DJ can play the 7 songs in 10 different ways or combination.

To determine the number of ways the DJ can play the 7 songs with the given conditions, we can consider the positions of the slow songs and the fast songs.

Since the first song must be a slow song and the last song must also be a slow song, we can fix their positions. Therefore, we have:

Where the underscores represent the remaining 5 positions for the remaining 5 songs.

The DJ has 4 slow songs and 3 fast songs remaining to be placed in these 5 positions. We can choose 2 positions for the fast songs out of the 5 available positions in (5 choose 2) ways.

Using the combination formula, (n choose k) = n! / (k!(n-k)!), where n is the total number of elements and k is the number of elements chosen, we have:

(5 choose 2) = 5! / (2!(5-2)!) = 5! / (2!3!) = (5 * 4) / (2 * 1) = 10.

To learn more about combination go to:

https://brainly.com/question/13095958

#SPJ11

Answer:

y = 1/4x + 4

Step-by-step explanation:

y = mx + b

Since the lines are parallel, the slope is the same. m = 1/4

y = 1/4x + b

Substitute (4,5)

5 = 1/4(4) + b

5 = 1 + b

4 = b

The y-intercept is (0, 4).

y = 1/4x + 4

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

Explanation:

1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.

The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.

The Kanizsa triangle illusion helps us understand that our perceptual experiences are not simply the sum of the individual sensory inputs, but rather the result of a complex and variable process of perceptual organization.

Gestalt is a German word meaning "shape" or "form," and in psychology, it refers to a set of principles that describe how people perceive and organize sensory information into meaningful wholes. These principles propose that the whole is greater than the sum of its parts, and that we tend to organize our perceptual experiences into coherent, holistic forms rather than isolated, unrelated sensations.

Experimental examples such as the Necker cube, visual cliff, and others help demonstrate principles of perceptual organization by highlighting how our minds naturally try to impose structure and order on sensory input. For example, the Necker cube is a two-dimensional drawing that can be perceived as a cube that can be viewed from different angles. However, as one stares at the image, it appears to flip back and forth between different possible interpretations. This phenomenon illustrates the Gestalt principle of figure-ground, which describes how we tend to perceive objects as being distinct from their surrounding context.

To know more about variable,

https://brainly.com/question/2466865

#SPJ11

x = 3, y = 8 and when x = 3/7, y = 49/6. The equation that relates x and y is y=k/x, where k is a constant of proportionality. By substituting the given values of x and y, we can solve for k and then use the equation to find the value of y for a given x.

Using the first set of given values, x = 2 and y = 12, we can set up the equation y = k/x and solve for k:

12 = k/2

k = 24

Thus, the equation that relates x and y is y = 24/x. To find y when x = 3, we plug in x = 3 into the equation and get:

y = 24/3 = 8

For the second set of values, x = 3/7 and y = 7/6, we again use the equation y = k/x and solve for k:

7/6 = k/(3/7)

k = 49/18

So the equation that relates x and y is y = (49/18)x. To find y when x = 3, we plug in x = 3 and get:

y = (49/18)3 = 49/6

Therefore, when x = 3, y = 8 and when x = 3/7, y = 49/6.

Learn more about equation here:

brainly.com/question/16175862

#SPJ11

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

For more questions on: compound interest

https://brainly.com/question/31474686

#SPJ8

Answer:

the answer is a= -20

can you also please mark me as brainliest?

thanks

A chart that compares three sets of values in a three-dimension chart is called surface.

A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.

A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.

You can learn more about 3D surface at

https://brainly.com/question/16012416

#SPJ4

Answer:2

Step-by-step explanation:

goggle

Answer:

5 divided by 2 = 2.5

Step-by-step explanation:

Answer:

the slope is m = -11/8

Step-by-step explanation:

Start with y = mx - 6.  Substitute -8 for x and 5 for y:

                5 = m(-8) - 6, or

                11  = -8m

Then the slope is m = -11/8

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

For more such questions on loan

https://brainly.com/question/25696681

#SPJ8

Answer: The answer is 10x2

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

there are 5 burgers since 2+3 is five. Divide 7.50 by five. The answer is 1.50.

$1.50

Because 2+3=5 and once you 7.5÷5 it equals 1.5.

Answer:

96

Step-by-step explanation:

This is an arithmetic sequence

First term = a1 = 355

Common difference = d = second term - first term = 348 - 355 = (-7)

\(a_{n}=a+ (n-1)*d\\\\a_{38}=355 + (38-1)*(-7)\\\\=355 + 37 *(-7)\\\\= 355 - 259\\\\= 96\)

The 38th term of the given arithmetic sequence is 96.

The given arithmetic sequence is 355, 348, 341...

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is \(a_n=a+(n-1)d\).

Here, first term (a)=355 and the common difference (d) = 348-355

= 7

Here, the 38th term is \(a_{38}=355+(38-1)(-7)\)

\(a_{38}=355-259\)

\(a_{38}=96\)

Therefore, the 38th term of the given arithmetic sequence is 96.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ3

Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

\(8x^{2} -50\)

First pull out 2.

2\((4x^{2} -25)\)

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4\(x^{2}\) + 10x - 10x - 25

4\(x^{2}\) - 25      Can't forget to multiply by 2!

2 (4\(x^{2}\) - 25 )

8\(x^{2}\) - 50

Answer:

see below

Step-by-step explanation:

x < -3  for the first equation

x > 4 for the second equation

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.

To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.

Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.

We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.

We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.

Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.

Learn more about probability distribution:

brainly.com/question/29062095

#SPJ11

Answer:

26$

Step-by-step explanation:

¼×48=12

so 12 was spent on calculator

12+14= 26

The given expression is of the form y=mx+c. Comparing, we get the slope as 7.

The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.

Given the expression is  y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.  

The complete question -

What is the gradient of the line y=7x+3?

To know more about the gradient of the line:

https://brainly.com/question/24200465

#SPJ4