Evaluate the following question given below

Answer:

[tex]C = 11.3 \text{ cm}[/tex]

Step-by-step explanation:

We can find the circumference of the circle by using the formula:

[tex]C = 2\pi r[/tex]

↓ plugging in the given radius

[tex]C = 2\pi (1.8 \text{ cm})[/tex]

[tex]C = 3.6\pi \text{ cm}[/tex]

↓ rounding to the nearest tenth

[tex]\boxed{C = 11.3 \text{ cm}}[/tex]

The difference of two positive integers is never negative.

Through definition, a positive integer is any whole number greater than zero, and subtraction is the operation used to find the difference among two numbers.

When subtracting a smaller number from a larger number the end result is constantly a non-negative number or 0.

This is because the subtraction operation measures the distance between the two numbers, and distance is usually a positive value.

For instance, the difference among 7 and 3 is 4, that's a positive value. consequently, the difference of positive integers is always a non-negative number.

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Answer:

$17

Step-by-step explanation:

5(20) - (8 + 75)

= 100 - 83

= 17.

Deena will get $17 back

well, here is your pie...

Step-by-step explanation:

First thing to solve expression, use the Reverse-Inverse PEMDAS

PEMDAS is order of operations where

we

evaluate parethiss first

then exponents

then multiplication/division(which ever comes first while reading left to right )

then addition and subtraction(which ever comes first while reading left to right)

We will go in reverse to solve for x.

Are there any addition and subtraction.

Yes, there is addition when we add 4, therefore we do the Inverse and subtract 4 from both sides

[tex] - \frac{4}{9} x = \frac{2}{3} - 4[/tex]

[tex] - \frac{4}{9} x = \frac{2}{3} - \frac{4}{1} [/tex]

Use Butterfly Method to simplify

[tex] - \frac{4}{9} x = \frac{ - 10}{3} [/tex]

Is there any multiplication or division happening to our variable of interest

Yes, there is multiplication happening as our variable is being multiplied by -4/9.

To get rid of this, we do the Inverse and divide by -4/9 on both sides.

Divide by -4/9 is the sames as multiplying by -9/4

[tex]x = \frac{ - 10}{3} \times - \frac{9}{4} = \frac{15}{2} [/tex]

So our answer is 15/2

The exact value of sec(θ) is 8√(39)/39.

Given information:

In a right triangle,

Perpendicular side = 5, Hypotenuse side = 8.

Then to find exact secθ:

We can use the definition of secant, which is the reciprocal of cosine:

sec(θ) = 1/cos(θ)

In a right triangle, the cosine of an angle is equal to the adjacent side length divided by the hypotenuse length. Therefore, we first need to find the length of the adjacent side of the angle θ.

Let's label the sides of the right triangle as follows:

the hypotenuse side is H, with a length of 8

the perpendicular side is P, with a length of 5

the base side (adjacent to the angle theta) is B

Using the Pythagorean theorem, we can find the length of the base side B:

B² + P² = H²

B² + 5² = 8²

B² + 25 = 64

B² = 64 - 25

B² = 39

B = √(39)

Now we can use the cosine function to find cos(theta):

cos(θ) = B/H

cos(θ) = √(39)/8

Finally, we can find sec(θ) by taking the reciprocal of cos(θ):

sec(θ) = 1/cos(θ)

sec(θ) = 8/√(39) x √(39)/√(39)

sec(θ) = 8√(39)/39

Therefore, the exact value of sec(θ) is 8√(39)/39. This is the simplified form of the expression and cannot be further reduced because the square root of 39 is not a perfect square.

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Answer:

7 7/8.

Step-by-step explanation:

o add mixed numbers like these, we first need to convert them to improper fractions, and then add them. Here are the steps to add 5 3/8 and 2 1/2:

Convert the mixed numbers to improper fractions:

5 3/8 = (5 x 8 + 3)/8 = 43/8

2 1/2 = (2 x 2 + 1)/2 = 5/2

Find a common denominator for the two fractions. The least common multiple of 8 and 2 is 8, so we can convert both fractions to have a denominator of 8:

43/8 + 5/2 = (43/8) + (5/2 x 4/4) = 43/8 + 20/8

Add the two fractions with the same denominator:

43/8 + 20/8 = 63/8

Convert the result back to a mixed number:

63/8 = 7 7/8

The correct equation which represents a circle with center Z (-3,5) and a radius of 4 units is,

⇒ (x + 3)² + (y - 5)² = 16

We have to given that;

In a circle,

Center = (- 3, 5)

Radius = 4

Since, The standard form of equation of circle is,

⇒ (x - h)² + (y - k)² = r²

Where, (h, k) = center

And, r is radius

Here, Center = (- 3, 5)

Radius = 4

Hence, The correct equation which represents a circle with center Z (-3,5) and a radius of 4 units is,

⇒ (x - (- 3))² + (y - 5)² = 4²

⇒ (x + 3)² + (y - 5)² = 16

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Answer:

[tex]6\sqrt2[/tex]

Step-by-step explanation:

First, we need to find the length of one side. Since it's a square and we have our perimeter of 24, we simply divide that by 4 to get a side length of 6.
When you split a square diagonally, it forms two special 45-45-90 triangles. With such triangles, the leg lengths are x and x, and the hypotenuse is [tex]x\sqrt2[/tex]. Therefore, your answer is [tex]6\sqrt2[/tex].

I've enclosed a picture to help.

Answer:

20%

Step-by-step explanation:

percent error = (estimated value - real value)/(real value) × 100%

percent error = (54 - 45)/(45) × 100%

percent error = 0.2 × 100%

percent error = 20%

This question involves statistical analysis and hypothesis testing, and the provided information does not contain all the necessary information to answer the questions fully and accurately. However, I can provide some general guidance on hypothesis testing and the factors to consider when designing a study.

It is not appropriate to refer to the vaccinated group as the placebo group. A placebo group is a group that receives a treatment that is inactive or does not contain the active ingredient being tested, while the treatment group receives the active treatment. In the case of the COVID vaccine, the treatment group is the group that received the vaccine, while the control group would be the group that did not receive the vaccine. In this scenario, it is important to have a control group to compare the effectiveness of the vaccine to the effectiveness of no intervention.

Other important factors to consider when designing a study include sample size, randomization, blinding, and the choice of outcome measures. These factors help to reduce bias and ensure that the results are generalizable to the target population.

To perform a hypothesis test comparing the vaccinated group to the control group, the following conditions must typically be met: the samples are independent, the samples are randomly selected from their respective populations, and the samples are normally distributed (or the sample size is large enough, typically n > 30). Additionally, the variances of the two populations should be assumed to be equal unless there is strong evidence to the contrary.

Assuming the conditions for performing a hypothesis test are met, the null hypothesis (H0) is that there is no difference in the number of deaths from COVID between the vaccinated group and the unvaccinated group, while the alternative hypothesis (Ha) is that the vaccine is effective in reducing the number of deaths from COVID. A two-sample t-test can be used to test whether the means of the two groups are significantly different. If the p-value is less than the significance level (alpha) of 0.01, the null hypothesis can be rejected in favor of the alternative hypothesis, and it can be concluded that the vaccine is effective in reducing the number of deaths from COVID.

Once again, please note that the information provided may not be sufficient to provide an accurate analysis of this question, and further information may be necessary to perform an appropriate hypothesis test and draw meaningful conclusions.

Answer: y ≥ (5/4)x - 1, where x represents the number of iPhones sold and y represents the number of Androids sold.

Step-by-step explanation:

The function is decreasing for the interval of (5, 9). The function is constant for the interval (9, 12). The function is positive for the interval of (-2, 8). The function is increasing for the interval (3, 5). The function is negative for the interval (8, 12.5).

For any given function, y = f(x), if the output value is decreasing when the input value is increased, then, the function is generally referred to as a decreasing function.

For any given function, y = f(x), if the output value is increasing when the input value is increased, then, the function is generally referred to as an increasing function.

By critically observing the graph shown above, we can reasonably infer and logically deduce the following key features;

In conclusion, a function is positive when the output value is greater than zero [f(x) > 0] while it is negative when the output value is less than zero [f(x) < 0].

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Answer: (the 2s I added are for square 2)

5sq(5g2s2 - 16qs + 9)

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

The median is the middle value in a set of numbers. To find the median for the given set of numbers 31, 35, 28, 31, and 37, we first need to arrange them in numerical order: 28, 31, 31, 35, 37.

Since there are an odd number of values in this set, the median is simply the middle value which is **31**.

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The relative frequency of 140-149 pound weight class is [tex]5.6[/tex]%.

The relative frequency refers to number of times an event occurs divided by total number of events occurring, so, its means ratio of frequency of an event to the total frequency.

The relative frequency of a class:

= (Frequency of class) / (Total frequency)

The frequency of 140-149 is 2.

The total frequency = sum of all frequencies which is:

= 2+3+4+7+5+6+5+4

= 36

The relative frequency of 140 - 149 pound weight class is:

= 2 / 36

= 1/18

= 0.056.

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The different features for the graphs of f(x) and g(x) is given as follows:

C. y-value when x = 5.

To obtain the numeric value of a function or even of an expression, we must substitute each instance of the variable of interest on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The numeric value for the function f(x) at x = 5 is given as follows:

f(5) = 5² = 25.

The numeric value for the function g(x) at x = 5 is given as follows:

g(5) = 3 x 5² = 75.

The options are given as follows:

A. location of the vertex

B. axis of symmetry

C. y-value when x = 5

D. direction parabola opens

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the maximum area that can be enclosed with a budget of $6000 is 1,500,000 square meters.

Let's assume we purchase x meters of metal bars and y meters of wooden bars. The cost equation can be expressed as:

3x + 2y = 6000   (total cost equation)

We want to maximize the area, which is given by the equation:

Area = x * y

To solve this problem, we can use the method of substitution or elimination. Let's use substitution.

From the total cost equation, we can express x in terms of y:

x = (6000 - 2y) / 3

Now we can substitute this value of x into the area equation:

Area = [(6000 - 2y) / 3] * y

Simplifying further:

Area = (6000y - 2y^2) / 3

The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -2 and b = 6000, so:

y = -6000 / (2 * -2) = 1500

Substituting this value of y back into the cost equation, we can find the corresponding value of x:

x = (6000 - 2 * 1500) / 3 = 1000

Therefore, with a budget of $6000, we can purchase 1000 meters of metal bars and 1500 meters of wooden bars, resulting in the maximum area.

Area = x * y = 1000 * 1500 = 1,500,000 square meters

So, the maximum area that can be enclosed with a budget of $6000 is 1,500,000 square meters.

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The profit earned if 53 mowers are sold is $1104.50.

To find the profit polynomial, we need to subtract the cost polynomial from the revenue polynomial:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = (-0.5x^2 + 91x) - (38x + 300)

P(x) = -0.5x^2 + 53x - 300

So the profit polynomial is P(x) = -0.5x^2 + 53x - 300.

To find the profit earned if 53 mowers are sold, we substitute x = 53 into the profit polynomial:

P(53) = -0.5(53)^2 + 53(53) - 300

P(53) = -0.5(2809) + 2809 - 300

P(53) = -1404.5 + 2509

P(53) = 1104.5

Therefore, the profit earned if 53 mowers are sold is $1104.50.

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The boy will take approximately 64.5 minutes to walk to school if he was previously taking 43 minutes.

Using the concept of proportionality to determine the new time it will take for him to walk to school.

Let's denote:

d1 = Distance he was walking previously

t1 = Time he took previously

d2 = New distance he has to walk

t2 = New time it will take

From the given information, we know that:

d2 = 1.5 * d1

t1 = 43 minutes

Since distance and time are directly proportional, we can set up a proportion:

d1 / t1 = d2 / t2

Substituting the given values:

d1 / 43 = (1.5 * d1) / t2

To solve for t2, we can cross-multiply and solve for it:

d1 * t2 = (1.5 * d1) * 43

t2 = (1.5 * d1 * 43) / d1

Simplifying the expression:

t2 = 1.5 * 43

t2 = 64.5

Therefore, the boy will take approximately 64.5 minutes to walk to school if he was previously taking 43 minutes.

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Answer:

3x+10+5x+18=180

8x+28=180

8x= 152

x=19

Answer:

A. 4.29

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers divided by the total numbers present.

Sum of numbers:  Instead of having to write out 2.5 twenty-two times and 5.7 twenty-eight times, we can remember that adding 2.5 twenty-two times is the same as multiplying 2.5 and 22 while adding 5.7 twenty-eight times is the same as multiplying 5.7 and 28.  Thus, our numerator for the average is (2.5 * 22) + (5.7 * 28)

Total number of people: We know that there are 50 people in all since 22 + 28 = 50.  Thus, our denominator for the average is 50

Average:  We divide our numerator by our denominator and simplify to find our average:

Average = ((2.5 * 22 + (5.7 * 28)) / 50

Average = (55 + 159.6) / 50

Average = 214.6 / 50

Average = 4.292

Average = 4.29

Thus, the average and our answer is A. 4.29

The pattern with matches is formed by systematically manipulating the arrangement of matches, adding or removing them in each step according to a defined rule.

The pattern with matches can be formed by following a specific arrangement or sequence. Each step in the formation of the pattern involves adding or removing matches in a deliberate manner. Let's examine the steps involved in creating the pattern:

Start with a base shape: The pattern typically begins with a basic shape or arrangement of matches. This could be a square, triangle, or any other simple form. For example, let's consider a square shape.

Manipulate the arrangement: To create the pattern, matches are added or removed from the base shape in each step. The exact manipulation depends on the desired pattern. For instance, let's say we want to create a pattern where each subsequent shape has one less match along one side.

Repeat the process: The manipulation is repeated in a systematic way to create a sequence of shapes. Each new shape is derived from the previous one by adding or removing matches according to the defined pattern rule. This repetition generates a series of shapes that form the complete pattern.

Observe the resulting pattern: By following the defined rules for adding or removing matches, a visually appealing and consistent pattern emerges. The pattern can exhibit various characteristics such as symmetry, repetition, or gradual change.

The specific details of the pattern formation may vary depending on the desired design. Different patterns can be created by altering the rules for adding or removing matches, changing the starting shape, or modifying the manipulation process.

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Answer:

222

Step-by-step explanation:

111 * 2

alternate segment theorem

gathmath

IZH = 2 * HIS

Answer:

1.75

Step-by-step explanation:

convert to fraction

The solution is: the value of s is:

s = 8

Explanation:

The initial equation is:

4s - 28 = 4

So, to solve for s, we can add 28 to both sides:

4s - 28 + 28 = 4 + 28

4s = 32

Finally, we can divide both sides by 4:

4s/4 = 32/4

s = 8

So, the value of s is 8

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complete question:

What is the value of s for the equation 4s-28=4

We can actually deduce here that the major league ballpark that I identified is T-Mobile Park in Seattle, Washington.

The distance from home plate to the center field fence is 409 feet and the height of the center field fence is 8 feet.

Thus, to solve for the angle of elevation, we can use the following equation:

tan θ = (y - h) / d

Where:

θ is the angle of elevation

y is the height of the fence

h is the height of the ball

d is the distance to the fence.

tan θ = (8 - 2) / 409

tan θ = 0.602

θ =  [tex]tan^{-1}[/tex] (0.602)

θ = 0.85°

The angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground is 0.85°.

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Answer:

No

Step-by-step explanation:

2.20 and 2.2 are the same

but 2.02 is not the same as the others