In ACDE, C E is extended through point E to point F, m/CDE = (2x - 4)°, m/DEF = (6x - 10)°, and m/ECD = (2x + 16)°. Find m/DEF.

Answer:

3,365 quilo

Step-by-step explanation:

Aqui, temos a tarefa de calcular os quilos de mantimentos coletados.

Para conseguir isso, o que fazemos é somar todos os quilos que temos aqui.

Matematicamente, isso representaria 1480 kg de açúcar + 1207 kg de açúcar + 678 kg de feijão = 1480 + 1207 + 678 = 3,365 kg de mantimentos

After simplifying the given expression  1/5⁻², we get result which is equal to 5² or 25.

To simplify the expression 1/5⁻², we can use the rule that says when a number with a negative exponent is in the denominator, we can move it to the numerator and make the exponent positive.

So, 1/5⁻² can be rewritten as 1 x 5², since 5⁻² = 1/5².

Therefore, 1/5⁻² simplifies to 25.

To explain further, 5⁻² is the same as 1/5², which means we have 1 over the square of 5. Dividing 1 by the square of 5 gives us the decimal value of 0.04, which is equivalent to 25 in percent form. So, 1/5⁻² simplifies to 25 with only positive exponents.

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Based on the data and probability, the number of yellow cotton balls in the bag is 154.

Given that,

Tori's scout troop got a new bag of 500 cotton balls in assorted colors to use for crafts.

She randomly grabbed some cotton balls out of the bag, looked at them, and put them back in the bag.

Total number of cotton balls = 500

The colors she grabbed are :

pink, yellow, blue, yellow, pink, pink, blue, yellow, pink, blue, blue, yellow, pink.

Out of 13 picks, number of yellow balls got = 4

Probability of getting yellow ball = 4/13

Number of yellow balls in 500 balls = 4/13 × 500 = 153.846 ≈ 154

Hence the number of yellow cotton balls in the bag is 154 balls.

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A distance-time graph below shows a car travelling then the Speed of the car is 8.88 miles per hour

Speed is the time rate at which an object is moving along a path,

A distance-time graph below shows a car travelling

We know that speed is distance by time

From the graph the distance is 80 and time is 9

Speed= 80/9

=8.88 miles per hour

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A) Approximately 14.96% of the survey respondents do not like both hamburgers and burritos.

B) Approximately 48.82% of all customers surveyed like hamburgers.

C) The data point with the strongest association is the cell "Likes burritos" and "Does not like hamburgers" with a conditional relative frequency of 81.42%.

Here, we have

To complete the table and answer the questions, we can calculate the missing values:

Likes hamburgers | Does not like hamburgers | Total

Likes burritos | 49 | 92 | 141

Does not like burritos | 75 | 38 | 113

Total | 124 | 130 | 254

Part A:

To find the percentage of survey respondents who do not like both hamburgers and burritos, we look at the cell "Does not like hamburgers" and "Does not like burritos," which has a value of 38.

The total number of respondents is 254.

Therefore, the percentage is (38/254) * 100 = 14.96%.

So, approximately 14.96% of the survey respondents do not like both hamburgers and burritos.

Part B:

To find the marginal relative frequency of all customers that like hamburgers, we look at the row "Likes hamburgers" and the total value, which is 124.

The total number of respondents is 254.

Therefore, the marginal relative frequency is (124/254) * 100 = 48.82%.

So, approximately 48.82% of all customers surveyed like hamburgers.

Part C:

To determine which data point has the strongest association of its two variables, we need to compare the conditional relative frequencies.

We calculate the conditional relative frequencies by dividing each cell value by the total for its respective row.

Conditional relative frequencies:

For the cell "Likes burritos" and "Likes hamburgers," the conditional relative frequency is (49/141) * 100 = 34.75%.

For the cell "Does not like burritos" and "Likes hamburgers," the conditional relative frequency is (75/141) * 100 = 53.19%.

For the cell "Likes burritos" and "Does not like hamburgers," the conditional relative frequency is (92/113) * 100 = 81.42%.

For the cell "Does not like burritos" and "Does not like hamburgers," the conditional relative frequency is (38/113) * 100 = 33.63%.

Based on the conditional relative frequencies, the data point with the strongest association is the cell "Likes burritos" and "Does not like hamburgers" with a conditional relative frequency of 81.42%.

This means that among those who do not like hamburgers, a higher percentage also likes burritos compared to other combinations.

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Answer:

profit of 240

Step-by-step explanation:

credit to the person above me

Answer: The height of street sign = 15

Step-by-step explanation:

At the same time, the angle made by the light on each object is the same.

Pole and street sign both standing vertical to the ground.

So triangle made by both of them are similar

The sides of similar triangles are proportional,

\(\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15\)

Hence, the height of street sign = 15

Answer:

X^158

Step-by-step explanation:

X^60xX^-18x(    )=X^200

X^42x(   )=X^200

x^158

A parallelogram with equal base and height is called a rhombus. A rhombus is a parallelogram with all sides equal in length, but not necessarily at right angles. So, if a rhombus has an area greater than 64 square meters, we can find its minimum length by calculating the length of one of its sides.

A parallelogram with equal base and height is called a rhombus. A rhombus is a parallelogram with all sides equal in length, but not necessarily at right angles. So, if a rhombus has an area greater than 64 square meters, we can find its minimum length by calculating the length of one of its sides: Area = base * height > 64 square meters

Since the base and height are equal, we can write: Area = base^2 > 64 square meters

Take the square root of both sides to get the minimum length of the base: base > sqrt(64) = 8 meters

So, any rhombus with a base greater than 8 meters and height equal to its base will have an area greater than 64 square meters. The height of the rhombus will also be greater than 8 meters since it has equal sides.In conclusion, a rhombus with a base greater than 8 meters and height equal to its base will have an area greater than 64 square meters. This is because the area of a rhombus is given by the product of its base and height, and any rhombus with a base greater than 8 meters will have an area greater than 64 square meters.

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The average cost per item over the interval (1,000,1,010] is (C(1010) - C(1000)) / (1010 - 1000) = (10,000 + 5(1010) - 10,000 - 5(1000)) / 10 = $5.50.

The average cost per item over the interval [999.5, 1000] is (C(1000) - C(999.5)) / (1000 - 999.5) = (10,000 + 5(1000) - 10,000 - 5(999.5)) / 0.5 = $5.00.

The given function C(x) represents the cost in dollars to manufacture x items. To find the average cost per item over a given interval, we use the formula: (C(b) - C(a)) / (b - a), where a and b are the endpoints of the interval.

For the interval (1,000,1,010], we substitute a = 1000 and b = 1010 into the formula to obtain (C(1010) - C(1000)) / (1010 - 1000). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1010) - $10,000 - $5(1000)) / 10 = $5.50 per item.

For the interval [999.5, 1000], we substitute a = 999.5 and b = 1000 into the formula to obtain (C(1000) - C(999.5)) / (1000 - 999.5). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1000) - $10,000 - $5(999.5)) / 0.5 = $5.00 per item.

To find C'(1000), we differentiate the function C(x) with respect to x, which gives C'(x) = 5. The value of C'(1000) is therefore 5, rounded to 1 decimal place.

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Answer:

\(8 \pi\)

Step-by-step explanation:

The computation of the volume of water remaining is shown below:

The volume of the cone is

\(\pi r^2 \frac{h}{3}\\\\\pi \times 3^2 \times \frac{8}{3} \\\\\frac{72}{3} \pi \\\\24 \pi\)

Now since it is two-third so the remaining is one -third

\(= 24 \pi \times \frac{1}{3}\)

\(= 8 \pi\)

hence, the volume of water remaining is \(8 \pi\)

Answer: A - one solution, B - Infinite solutions, C - no solutions

Step-by-step explanation:

Solutions of linear equations are any points at which both lines intersect. The point of intersection provides a point that lies on both lines and satisfies both equations - hence why it is called a "solution" to the system of equations.

In the first diagram, the lines intersect once. There is only one solution to this system of equations at (2, 4).

In the second diagram, the lines are identical. They intersect for any possible value, meaning it has infinite solutions.

In the third diagram, the lines are parallel. They will stretch to infinity without ever intersecting each other, so this system has no solution.

Answer:

c

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

To solve the exercise you can use a rule of three:

Therefore, Derick will save $ 3.9.

The different percentages are, 42%, 21% and 63%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolize it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Now, according to the given information, the double number line shows that 42 people watched Deon's new video today.

Now, we are to find,

100% of 42 people.

This is, (100/100)*42 = 42%.

Again, 50% of 42 people is,

(50/100)*42 = 21%.

Again, 150% of 42 people is,

(150/100)*42 = 63%.

Hence, the percentages are, 42%, 21% and 63%.

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Answer:

Answers are in the explaination.

Step-by-step explanation:

100% of 42 people answer is 42

50% of 42 people answer is 21

150% of 42 people answer is 63

Answer: B. (0.19/365 x 30)(16 x $1050+14 x $1280/30)

Step-by-step explanation: took the quiz

Answer: 4:5

Step-by-step explanation: The lowest form

Answer:

Step-by-step explanation:

4:5

Answer:

1,121.44 or 1,121.4 (nearest tenth)

Step-by-step explanation:

l = 16.8

w = 8.9

h = 16

A  = 2(lw + wh + lh)

2((16.8)(8.9) + (8.9)(16) + (16.8)(16))

2(149.52 + 142.4 + 268.8)

560.72(2)

Answer:

Below

Step-by-step explanation:

SA = 2(w x l + h x l + h w)

= 2(8.9 x 16.8 + 16 x 16.8 + 16 x 8.9)

= 1,121.44 m2

With rounding = 1,121.4 m2

Hope this helps!

The correct statements are:

1) Leena consumed 1,500 calories at dinner.

2) The equation  2/3(x + 400 + 350) = x

In this question we have been given Leena consumes 400 calories at breakfast and 350 calories at lunch. she consumes 2/3 of her daily calories at dinner.

We need to select a statement that describes the situation  if x represents the calories consumed at dinner.

Let x be the calories consumed at dinner.

Leena consumes 400 calories at breakfast and 350 calories at lunch.

So, the daily calories consumed by her:

400 + 350 + x

Given that she consumes 2/3 of her daily calories at dinner.

From given conditions we get an equation,

x = 2/3(x + 400 + 350)

3x = 2(x + 750)                          ............(multiply both sides by 3)

3x = 2x + 1500                

3x - 2x = 2x + 1500 - 2x            ...............(subtract 2x from both sides)

x = 1500 calories

Therefore, Leena consumed 1500 calories at dinner.

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Answer:

----------------------

Find the amount of work in man*days and then divide the result by 20:

Hence the same work will be completed by 225 men.

Answer

3.26$

Step-by-step explanation:

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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Answer:

Answer is 11. You have to add the 4 and 7.

In rectangles all sides are either perpendicular or parallel, so you know that the missing side is equal to the bottom 2 horizontal sides added up.

4 + 7 = 11.

The missing side is 11cm.

Therefore, the rate of the canoe in still water is 36 miles per hour.

Let's assume the rate of the canoe in still water is represented by r (miles per hour), and the rate of the current is represented by c (miles per hour).

When paddling with the current, the effective speed of the canoe is increased by the rate of the current, so the equation for the distance can be written as:

(r + c) * 4 = 64

When paddling against the current, the effective speed of the canoe is decreased by the rate of the current, so the equation for the distance can be written as:

(r - c) * 6 = (3/4) * 64

Simplifying the second equation:

6(r - c) = (3/4) * 64

6r - 6c = 48

Now we have a system of two equations:

(r + c) * 4 = 64

6r - 6c = 48

We can solve this system of equations to find the values of r and c.

Multiplying equation 1) by 6, we get:

6(r + c) = 6 * 64

6r + 6c = 384

Adding this equation to equation 2), the variable c will be eliminated:

6r + 6c + 6r - 6c = 384 + 48

12r = 432

Dividing both sides by 12, we find:

r = 36

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Answer:

The equation to find the total cost for buying x shirts would be y = 11x + 30

Step-by-step explanation:

The equation y = 11x + 30 represents the total cost of buying x jerseys, where x is the number of jerseys and y is the total cost. The $11 represents the cost of each jersey and the $30 is the one-time fee for the design. So, for every jersey purchased, the cost goes up by $11, and the $30 fee is added on top of that.

The double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

The iterated integral to compute the double integral over the rectangle r = {(x,y) : 0 ≤ x ≤ π, 0 ≤ y ≤ a} of sin(xy) is given by:

∫∫r sin(xy) dA = ∫₀^a ∫₀^π sin(xy) dx dy

Integrating with respect to x first, we have:

∫₀^a ∫₀^π sin(xy) dx dy = ∫₀^a [-cos(πy) + cos(0)] dy

= ∫₀^a (1 - (-1)^n) dy

= a - (a/π)sin(πa)

For what values of a is ∫∫r sin(xy) dA equal to 1?

We need to solve the equation:

a - (a/π)sin(πa) = 1

Multiplying both sides by π, we get:

aπ - a sin(πa) = π

Now, let f(a) = aπ - a sin(πa) - π. We need to find the values of a such that f(a) = 0.

Using numerical methods, we can find that there is only one solution in the interval [0,π], which is approximately a = 0.986.

Therefore, the double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

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