if you have 220 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?

The measure of angle B is indeed 70°, and the two angles are Supplementary

Step 1: Understand supplementary angles
Supplementary angles are two angles whose sum equals 180 degrees. In other words, if two angles are supplementary, then their measures add up to 180°.

Step 2: Set up the equation
Let's say you have two supplementary angles, angle A and angle B. You know the measure of angle A, but you need to find the measure of angle B. To do this, you can set up the following equation:

angle A + angle B = 180°

Step 3: Insert the known angle measure
Since you know the measure of angle A, you can insert its value into the equation. For example, if angle A measures 110°, the equation would be:

110° + angle B = 180°

Step 4: Solve for the unknown angle
Now, you can solve the equation to find the measure of angle B. Using the example above:

110° + angle B = 180°

Subtract 110° from both sides:

angle B = 70°

Step 5: Verify your answer
To make sure your answer is correct, you can add the measures of angle A and angle B together. If they equal 180°, then your answer is correct. In this example:

110° + 70° = 180°

So, the measure of angle B is indeed 70°, and the two angles are supplementary.

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Answer: b. 18

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Step-by-step explanation:

The number of negative real zeros is either 2 or 0.

How to use Descartes's rule ?

To use Descartes's rule to determine the possible number of real zeros of the polynomial function f(x) = 6x² - 9x - 6, we need to first find the sign changes in the coefficients of the polynomial.

The coefficient of the highest power of x is 6, which is positive. The coefficient of the next highest power of x is -9, which is negative. The coefficient of the constant term is -6, which is negative as well. So, there are two sign changes in the coefficients of the polynomial.

According to Descartes's rule, the number of positive real zeros of the polynomial f(x) is either equal to the number of sign changes in the coefficients or less than that by an even integer. In this case, there are two sign changes, so the number of positive real zeros is either 2 or 0.

Similarly, the number of negative real zeros of the polynomial f(x) is either equal to the number of sign changes in the coefficients or less than that by an even integer. In this case, there are two sign changes, so the number of negative real zeros is either 2 or 0.

Therefore, the possible number of real zeros of the polynomial function f(x) = 6x² - 9x - 6 is either 2, 0, or 2 complex zeros. To determine the exact number of real zeros and complex zeros, we may need to use other methods, such as the quadratic formula, factoring, or graphing.

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Answer:  4 free throws and 6 field goals

Step-by-step explanation:

4x1=4

6x2=12

12+4=16

Answer:

4 free throws and 6 field goals

Step-by-step explanation:

Therefore, the inequality simplifies to u ≤ 27.

Inequality refers to the state of being unequal or the existence of disparities or differences between individuals, groups, or regions. This can manifest in various forms, including economic inequality, social inequality, and political inequality. Economic inequality, for example, may refer to the unequal distribution of wealth or income among different individuals or groups in a society. Social inequality may refer to differences in access to education, healthcare, or other resources, based on factors such as race, gender, or social class. Political inequality may refer to disparities in political power or representation, where some.

The inequality 25 ≥ u - 2 can be simplified by adding 2 to both sides to isolate the variable "u":

25 + 2 ≥ u - 2 + 2

27 ≥ u

Therefore, the inequality simplifies to u ≤ 27.

This means that any value of u that is less than or equal to 27 will make the inequality true. For example, u could be 27, 10, -5, or any number less than or equal to 27. However, if u is greater than 27, the inequality will be false.

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Answer:

100

Step-by-step explanation:

30 x 100 = 300

Helping in the name of Jesus.

8 goes into 70,  8 times with a remainder of 6.

What is remainder?

In general, if we want to divide a number by another number, say a by b, we want to find out how many times b goes into a, and what the remainder is. We can represent this as:

a = b × q + r

where:

a: the dividend

b: the divisor

q: the quotient (how many times b goes into a)

r: the remainder (what is left over after we divide as many times as possible)

Now, let's apply this to the specific problem:

We want to divide 70 by 8, so we can write:

70 = 8 × q + r

We want to find out what q and r are.

To find q, we can start with the largest multiple of 8 that is less than or equal to 70, which is 64 (8 times 8). We can see that 8 goes into 64 exactly 8 times:

64 = 8 × 8 + 0

So q = 8.

To find r, we can subtract 64 from 70:

70 - 64 = 6

So the remainder is 6.

Putting it all together, we have:

70 = 8 × 8 + 6

So 8 goes into 70 8 times with a remainder of 6.

What is dividend?

In division, the dividend is the number that is being divided into equal parts or groups. It is the number that appears before the division symbol. For example, in the division problem 12 ÷ 3 = 4, 12 is the dividend.

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Complete question is: 8 goes into 70,  8 times with a remainder of 6.

The correct answer is B. 11 inches.

Answer:

f(x)=x² → g(x)=4x²-5

Parent Function: y=[tex]x^{2}[/tex]

Horizontal Shift: None

Vertical Shift: Down 5 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: Stretched

The probability of pulling out three cherry-flavored lollipops from a bag where 25% of the lollipops are cherry-flavored is very low at only about 1.5625%.

If 25% of the lollipops are cherry flavored, then the probability that any one lollipop is cherry flavored is 0.25. Since Bernie pulls out 3 lollipops, the probability that all of them are cherry flavored is:

0.25 x 0.25 x 0.25 = 0.015625 or 1.5625%

So the probability that all three lollipops are cherry flavored is very low, only about 1.5625%.

As for which simulation could be used to fairly represent the situation, one possible approach is to create a virtual bag of lollipops with 25% cherry flavored ones and randomly draw 3 lollipops from the bag multiple times to simulate the process.

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Answer:

I am sorry but I cant find the graph !

Can you please resend your question with the picture of the graph

thank you

Step-by-step explanation:

Answer:

a) 6°C

b) upward

Step-by-step explanation:

I don't know if you mean  this  type

a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:

maximum temperature: 18 °C

minimum temperature: 12 °C

Then:

range of temperatures: 18-12 = 6°C

b) The trend is upward because, given any temperature, the next one is higher.

The Maximum no. of fish is 200 thousands.

How to find the fish count from the function?

Let say the function is

[tex]P(x)=-2(x-9)^2+200\\\\[/tex]

Differentiating w.r.t x, we get

[tex]\\\\P'(x) = -4(x-9)\\\\for\ maximum\ value\ of\ x,\ P'(x) =0\\\\x=9\\\\So,\ put\ value\ of\ x\ in\ equation, we get\\\\P(x) = 200[/tex]

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The consequence of a type II error can be conclude that option (c) has no effect when it really does concluding that a treatment

A Type II error is a statistical error that occurs when a null hypothesis is not rejected when it should be. Specifically, it is when a researcher concludes that there is no effect of a treatment when there actually is one. This error can have serious consequences, as it may result in missed opportunities to implement effective treatments or interventions.

To minimize the likelihood of Type II errors, researchers can increase the sample size or adjust the statistical significance level of the test. Overall, it is important to be aware of the potential for Type II errors and to take steps to minimize their occurrence.

Therefore, the correct option is (c) has no effect when it really does concluding that a treatment

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The given question is incomplete, the complete question is:

what is the consequence of a type ii error? group of answer choices concluding that a treatment

a) has an effect when it really does concluding that a treatment b) has an effect when it really has no effect concluding that a treatment c) has no effect when it really does concluding that a treatment d) has no effect when it really has no effect

Answer:

1. a. [tex]\frac{2}{13}[/tex]

2. c. [tex]\frac{3}{6}[/tex]

3. d. [tex]\frac{1}{10}[/tex]

4. b. [tex]\frac{1}{8}[/tex]

Hope it helps you!

real solutions or roots or zeros from a graphic standpoint, are simply the x-intercepts, because that's what a zero or root is, nothing but an x-intercept, hmm well, from the picture above, how many times does the graph touch the x-axis?  hell, is really above it, it never touches it, so it doesn't have any real solutions.

Keilantra's headphones were less than the original price by 37%, rounded to the nearest whole number.

To find out the percentage that Keilantra's headphones were less than the original price, we need to compare the discounted price to the original price, and express the difference as a percentage of the original price.

Let's start by calculating the discounted price. Keilantra bought headphones for $34 and received a 40% discount using a coupon code:

Discounted price = Original price - Discount

Discount = 40% of Original price

Discounted price = Original price - 40% of Original price

Discounted price = 60% of Original price

Substituting the values given, we can calculate the discounted price as:

Discounted price = 0.6 x $34

Discounted price = $20.40

Now we need to apply the 5% processing fee to the discounted price:

Final price = Discounted price + Processing fee

Processing fee = 5% of Discounted price

Final price = Discounted price + 5% of Discounted price

Final price = 1.05 x Discounted price

Substituting the value we found for the discounted price, we get:

Final price = 1.05 x $20.40

Final price = $21.42

Now we can calculate the percentage that Keilantra's headphones were less than the original price:

Percentage discount = ((Original price - Final price) / Original price) x 100%

Percentage discount = (($34 - $21.42) / $34) x 100%

Percentage discount = (12.58 / 34) x 100%

Percentage discount = 0.37 x 100%

Percentage discount = 37%

Therefore, Keilantra's headphones were less than the original price by 37%, rounded to the nearest whole number.

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A semicircle rotated around its axis gives sphere, rectangle  rotated around its axis gives sphere . and a right triangle  rotated around its axis gives sphere

what is rectangle?

A rectangle is a four-sided flat shape with straight sides and four right angles. It is a type of parallelogram, with opposite sides equal in length and parallel to each other. The area of a rectangle can be calculated by multiplying its length and width, while its perimeter can be found by adding the lengths of all four sides.

In the given question,

A semicircle rotated around its axis gives sphere,

A  rectangle  rotated around its axis gives sphere .

A right triangle  rotated around its axis gives sphere

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V(t) = -$266.67t + $28,500 is the linear model that captures this situation.

What is a linear model?

In mathematics, a linear model is a mathematical function that has a constant rate of change between two variables. The general form of a linear model is given by:

y = mx + b

where "y" and "x" are variables, "m" is the slope of the line, and "b" is the y-intercept (the point where the line crosses the y-axis).

A line's slope is the ratio of change in y (vertical) to change in x. (horizontal). It denotes the pace at which y changes in relation to x. If the slope is upward, theIf the value is positive, the line ascends from left to right, while if it is negative, the line descends from left to right. A horizontal line has a slope of zero, but a vertical line has an indeterminate slope.

A line's y-intercept is the value of y when x is zero. It denotes the point at where the line intersects the y-axis.

We can build a linear model to characterise the car's value decline over time. Let V(t) be the car's worth t years after 2005. Then, using the two data points provided, we can construct two equations:

V(0) = $28,500 (the initial value in 2005)

V(3) = $27,700 (the value in 2008, 3 years later)

Because we are assuming

Because we have a straight line, we can write:

V(t) = mt + b

where m is the slope (annual rate of change) and b is the y-intercept (initial value).

We may use the two equations above to obtain the values of m and b:

V(0) = m(0) + b = $28,500 => b = $28,500

V(3) = m(3) + b = $27,700 = 3m + $28,500 = $27,700 = $27,700 = m = -$266.67/year

As a result, the linear model that best describes this circumstance is:

V(t) = -$266.67t + $28,500

This model reveals that the car's value depreciates at a rate of $266.67 per year, with a starting value of $28,500 in 2005. This methodology can be used to determine the worth of an automobile in any year after 2005.

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Answer:

4.The median coast for beach parking is $35: This means that half of the beach parking costs are below $35 and half of them are above $35.

5. The IQR of weights of dishes of frozen yogurt is 3.5 ounces: This means that the middle 50% of weights of dishes of frozen yogurt fall within a range of 3.5 ounces.

6.The mean weight for an adult loggerhead sea turtle is 275 pounds: This means that the average weight of an adult loggerhead sea turtle is 275 pounds.

7. The range of the length of adult manatees was 5 feet: This means that the difference between the maximum and minimum lengths of adult manatees is 5 feet.

Answer:

Since the absolute value of any real number is a positive, the range is all the real numbers less than or equal to 0. We can see this by placing x = 1 and hence getting 0.Mar

Step-by-step explanation:

18.84 feet farther is it around the outer edge of the path than around the inner edge.

Given:

A circular path 3 feet wide has an inner diameter of 450 feet.

Use 3.14 for [tex]\pi[/tex].

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 450 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

[tex]450\div3[/tex]

[tex]=150 \ \text{feet}[/tex]

[tex]\text{r} = 150 \ \text{feet}[/tex].

Now,

Thus, the outer radius is:

[tex]150+3[/tex]

[tex]=153 \ \text{feet}[/tex]

[tex]\text{r} = 153 \ \text{feet}[/tex].

Now, we get the circumference of inner edge and outer edge:

[tex]\bold{Circumference \ of \ inner \ edge} = \bold{2\pi r}[/tex]

[tex]\text{Circumference of inner edge} = 2\times3.14\times150[/tex] [tex]\text{Circumference of inner edge}=942 \ \text{feet}.[/tex]

[tex]\bold{Circumference \ of \ outer \ edge} = \bold{2\pi r}[/tex]

[tex]\text{Circumference of outer edge} = 2\times3.14\times153[/tex]                                                

[tex]\text{Circumference of outer edge}=960.84 \ \text{feet}.[/tex]

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

[tex]\text{Circumference of outer edge - circumference of inner edge}[/tex].

[tex]960.84-942[/tex]

[tex]=18.84 \ \text{feet}.[/tex]

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

We can conclude that the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.

The method of dividing two numbers that gets us the answer is called a quotient. Divide 8/2 to get 4, which is an example of a quotient.

To estimate the quotient of 28 and 0.48, we can round 0.48 to the nearest whole number and 28 to the nearest ten.

0.48 is closer to 0 than 1, so we round it down to 0.

We just round up to 30 because 28 is nearer to 30 than 20.

Now we have:

28 ÷ 0.48 ≈ 30 ÷ 0 = undefined

Any number divided by zero is undefined, so the quotient is not a real number. It is not greater or less than 56, because it does not exist.

Therefore, the answer is that the quotient of 28 and 0.48 is undefined, and it cannot be compared to 56.

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Answer:

X=85°

Step-by-step explanation:

35°+x°=120° [Exterior angle of a triangle is equal to the sum of the interior opposite angles]

x=120°-35°

x=85°

[tex] \:\:\:\:\:\: \:✰ [/tex]Let the maximum length of a soccer field for play by under-8-year-olds be 'x yards ' then the maximum length of a soccer field for international play will be (x + 80) yards.(For solving this problem we have to assume the soccer field as rectangular-shaped.)

As per question, the total length of these two categories of soccer fields is 160 yards. Which states -

[tex] \:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{ x + (x + 80) = 160}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf x + x + 80 = 160\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf 2x + 80 = 160 \\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf 2x = 160 - 80\\[/tex]

[tex]\:\:\:\:\:\:\:\:\:\: \:\:\:\:\:\:\longrightarrow \sf 2x = 80\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf x = \cancel{\dfrac{80}{2}}\\[/tex]

[tex] \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\longrightarrow \sf \underline{ x = 40}\\[/tex]

To fill in the successive diagonals of the infinite grid, we start with $1$ in the $(1,1)$ spot. The second diagonal starts with $2$ in the $(1,2)$ spot and $3$ in the $(2,1)$ spot.

The third diagonal starts with $4$ in the $(1,3)$ spot, $5$ in the $(2,2)$ spot, and $6$ in the $(3,1)$ spot. And so on. Since $41$ is in the $(5,5)$ spot, it means it is the $41$st integer to be filled in the diagonals of the grid. To find the integer in the $(10,10)$ spot, we need to count $9$ diagonals that come before the diagonal that contains $(10,10)$.

Each diagonal contains one more integer than the previous diagonal. So, the $n$th diagonal contains $n$ integers.Therefore, the $10$th diagonal contains $10$ integers, starting with the integer in the $(1,10)$ spot and ending with the integer in the $(10,1)$ spot.

The integer in the $(10,10)$ spot is the last integer in the $10$th diagonal, which is $10+9+8+7+6+5+4+3+2+1 = \boxed{55}$.

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According to the given figure number of possible outcome is 2 and total number of outcome is 4 therefore the probability of an event P(e) less than 7 would be ½.

There are a total of 4 numbers so the No total outcome would be 4.

No of possible outcome = 2 (as there are only two numbers less than 2)

Probability of event, P(e) = no of possible outcome / No of total outcome

This,

P(less than 7) = 2/4

P(less than 7) = ½

Hence The probability of an event P(e) less than 7 would be ½.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theorem of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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A reasonable prediction of the population of South Carolina in 2018, based on the trend shown in the table, is approximately 3.71 million people.

What is population?

Population refers to the total number of individuals, typically humans, living within a specific geographic area, such as a city, state, or country. It is an important measure for studying the demographics and characteristics of a given region or community. Population can also be used to analyze trends and patterns in areas such as healthcare, education, employment, and economics.

Based on the trend shown in the table, we can assume that the population of South Carolina is increasing linearly over time. To make a prediction of the population in 2018, we can use linear regression to estimate the slope and intercept of the line that best fits the data, and then use that line to extrapolate to the year 2018.

Using the data from the table, we can calculate the slope and intercept of the line of best fit as:

slope = 1.84

intercept = 4.92

Using these values, we can predict the population of South Carolina in 2018 as:

population_2018 = slope * 2018 + intercept

population_2018 = 1.84 * 2018 + 4.92

population_2018 = 3710.16 (rounded to two decimal places)

Therefore, a reasonable prediction of the population of South Carolina in 2018, based on the trend shown in the table, is approximately 3.71 million people.

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The employee's commission on the sales of clothing sold would be R360.

The condition that requires further analysis of the data  for slope inference is the independence of errors.

In this scenario, we have to determine the condition that requires further analysis of the data. We know that there are five conditions that need to be satisfied to perform the linear regression.

The five conditions are: Linearity, Homoscedasticity, Normality of residuals, Independence of errors. And the last one is: Independence of errors is the fifth condition that requires further analysis of the data to confirm that it is satisfied or not. The independence of errors condition is that there should be no pattern in the residuals.

Residuals are the differences between the actual values and the predicted values. The independence of errors is important because it ensures that the errors are random and not influenced by any other variable.

The independence of errors condition can be checked by plotting the residuals against the predicted values. If there is a pattern in the residuals, then the independence of errors condition is not satisfied. So, in order to satisfy the fifth condition for slope inference, the independence of errors condition must be satisfied.

*Complete question:  Which is the fifth condition requires further analysis of the data to confirm that this condition for inference has been satisfied the same way that four conditions for slope inference have been satisfied?

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