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what is the range of the function

The six wedges cover, which is also the total area, 24π cm².

Area is the amount of two-dimensional space taken up by a shape or object. It is calculated by multiplying the length and width of a given shape or object.

To get to this answer, one must use the formula for the area of a circle,

A=πr,  r = radius of the circle.

As each wedge is a semicircle, the radius is equal to half of the diameter, or 2 cm.

Therefore, the area of each wedge= 4π cm².

As there are six wedges, the total area of the four lime wedges in the center of the top of the pie

=6 × 4π cm²

=24π cm².

The area of each wedge= 4π cm² and total area is 24π cm².

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The p-value for the given test is approximately 0.067, rounded to two significant digits. This was calculated by finding the area to the right of z=1.5 under the standard normal distribution.

It is given that Null hypothesis: H0: μ ≤ 0, Alternative hypothesis: H1: μ > 0, Population standard deviation: σ = 1, Test statistic: z = 1.5

To find the p-value, we need to calculate the probability of observing a z-value of 1.5 or greater under the null hypothesis. Since the population follows the standard normal distribution, we can use a standard normal table or a calculator to find this probability.

Using calculator, we can find that the area to the right of z = 1.5 is approximately 0.0668 (rounded to four decimal places).

Since this is a one-tailed test with the alternative hypothesis in the right tail, the p-value is equal to the area in the right tail beyond the observed z-value. Therefore, the p-value for the test is approximately 0.067 (rounded to two significant digits).

So, the p-value for the given test is 0.067 (rounded to two significant digits).

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If the tire says P235/65R17, the diameter of your wheel will be 17 inches.

The primary purposes of a car's tires are to carry the weight of the car, transmit traction and braking forces to the road surface, insulate against shocks from the road, and change and maintain the direction of motion.

It offers traction for braking and acceleration and reduces the number of road vibrations that reach the car's body.

It should be noted that the numbers that are written on the tire are vital in knowing the diameter that's illustrated.

In this case, when the tire says P235/65R17, the diameter of your wheel will be 17 inches.

In conclusion, it is 17 inches.

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Remember: a^2 + b^2 = c^2

1

64 + 49 = 113

√113 = \(\sqrt{113}\)

2

100 - 25 = 75

square root of 75 = 5 \(\sqrt{3}\)

Answer:

D. 3

Step-by-step explanation:

sub 3 into problem you get a zero

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer:

Step-by-step explanation:

Answer:

Sebastian will know 440 recipes.

Step-by-step explanation:

Since we can assume that the relationship of the situation is directly proportional, proportional relationships are described as:

Then, if he learned 220 appetizers in 44 weeks, after 88 weeks;

Answer:

A) √7 + 4

B)2√15

D)√23+√8

Step-by-step explanation:

The options are:

A) √7 + 4

B)2√15

C)8-√5

D)√23+√8

E)√80-3

Analysing A.

√7+4 = 2.64575131106459 + 4

√7 + 4 = 6.64575131106459

Analysing B

2√15 = 2 * 3.87298334620741

2√15 = 7.74596669241483

Analysing C

8-√5 = 8 - 2.23606797749978

8 - √5 = 5.76393202250021

Analysing D

√23+√8 = 4.79583152331271 + 2.82842712474619

√23+√8 = 7.62425864805890

Analysing E

√80-3 = 8.94427190999915 - 3

√80-3 = 5.94427190999915

After the above analysis;

Options A, B and D answer the question

Answer: 7+4

5/15

/80-5

Step-by-step explanation:

Answer:

2(4x-2)+3x*2=8x-4+6x=14x-4=122

14x=126

x=9

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

3 x 16 = 48

OR

16 + 16 + 16 = 48

48

16 x 3 = 48.

Simple :)

The formula for percent from the board can be expressed this way:

The total number of students that like pineapple pizza   * 100.

      The total number of students

A (i). The part is the number of students that like pineapple pizza which is 5.

(ii). The whole is the total number of students namely; 7 + 12+ 5 + 3 + 6 = 33.

(iii). Plugging the part and whole into the equation, we will have: 5/33 * 100

(iv). Final answer is = 15.15%

A percentage is a mathematical expression that is aimed at calculating the proportion of a given quantity out of 100. In the question, we are requested to find what proportion of students like pineapple pizza.

To get the answer, we first have to determine the number of students that like pineapple pizza which is 5 according to the table. Next, we get the sum of students which is 33. The percentage will then get the fraction and multiply the result by 100. The final answer is 15.15%.

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\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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Answer:

=93

Step-by-step explanation:

9514 1404 393

Answer:

  c = 3√34 ≈ 17.493

Step-by-step explanation:

The Pythagorean theorem tells you ...

  c² = 15² +9²

  c² = 225 +81 = 306

  c = √306

  c = 3√34 ≈ 17.493

The equation will be y = -15x + 40

Equations help us to understand a particular problem better, they give us possible insights into the situation. Equation Formation is an important aspect of Mathematics. We can form equations on the basis of the information given and then analyze it.

Given:

The biker, Dudley wants to travel 40 miles.

It is given that he travels 30 miles every 2 hours.

Obtaining Equation,

Distance traveled in 2 hours = 30 miles

Then, distance traveled in x hours = \(\frac{30}{2}*x = 15x\)

So, the remaining distance to cover = 40 - 15x

or  y = 15x - 40

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The uncertainty in the difference between the two experimental values (8.1 ± 0.5) (7.9 ± 0.4),  is :

± 0.64.

Uncertainty represents the range of possible values that a measured quantity could have due to limitations in the measurement process.

When calculating the uncertainty of the difference, we need to add the individual uncertainties in quadrature (i.e., in square), not by simple addition.

So, for the given experimental values of (8.1 ± 0.5) and (7.9 ± 0.4), the difference between them is:

8.1 - 7.9 = 0.2

To find the uncertainty in the difference, we need to calculate the combined uncertainty:

√((0.5)^2 + (0.4)^2) = 0.64

Therefore, the uncertainty in the difference between the two experimental values is ± 0.64.

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Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

The two numbers are 3 and 6. We can then solve for y using the quadratic formula:y = [9 ± √(81 - 120)]/2 , y = 3 or 6

The sum of two numbers (x + y) = 9

The product of two numbers (x * y) = 30

We can solve for x and y using the following equations:

x + y = 9

x * y = 30

We can solve for x by dividing both sides of the equation by y:

x = (30/y)

We can then substitute this into the first equation:

(30/y) + y = 9

We can then solve for y by subtracting 30/y from both sides:

y = 9 - (30/y)

We can then solve for y by multiplying both sides by y:

y^2 = 9y - 30

We can then solve for y using the quadratic formula:

y = [9 ± √(81 - 120)]/2

y = 3 or 6

Therefore, the two numbers are 3 and 6.

the complete question is :

What are the two numbers has a sum of 9 and a product of 30 ?

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For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

The conditional statement is true.

Step-by-step explanation:

If a and b are negative, it doesn't matter what numbers they are; the sum will always be negative.

Answer:

129: width

135:length

The data provide evidence that the rate is at least 90% correct.

To determine whether the rate of correct readings by the OCR system is at least 90%, we can perform a hypothesis test. The null hypothesis, denoted as H0, would state that the rate is equal to 90% or less, while the alternative hypothesis, denoted as Ha, would state that the rate is greater than 90%.

In this case, we have 462 out of 500 digits read correctly by the OCR system. To test the hypothesis, we can calculate the sample proportion of correct readings, which is 462/500 = 0.924.

Using this sample proportion, we can conduct a one-sample proportion test. With a sample size of 500, the conditions for performing the test are satisfied. We can calculate the test statistic and p-value to assess the evidence against the null hypothesis.

If the p-value is less than the significance level (commonly 0.05), we would reject the null hypothesis and conclude that there is evidence that the rate is greater than 90%. Conversely, if the p-value is greater than or equal to the significance level, we would fail to reject the null hypothesis.

Without the specific test statistic and p-value provided, we cannot give a definitive conclusion. However, based on the given information, the data indicate that the rate is at least 90% correct, as the sample proportion is 0.924.

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Answer:

4

Step-by-step explanation:

18x-2 = 17x +2

⇒18x-17x - 2  = 2

⇒x - 2 = 2

∴ x = 4

The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

Answer: 2 3/4

Step-by-step explanation:

We use keep change flip when dividing fractions.

11/12; we'll keep this fraction.

×; we'll change it to multiplication

3/1; we flip it.

11×3=33

12×1=12

33/12= 2 9/12= 2 3/4