what was the mistake that was made?

Answer:

True

Step-by-step explanation:

Given data

Diameter =6 yards

Radius R= Diameter/2= 6/2  = 3 yards

R²=3*3=9square yards

Hence R^2 = 9square yards= True

Answer:

True.

Step-by-step explanation:

R² is radius to the second power. You were given the diameter, so the radius will be half of that diameter.

3 to the second power, (or 3 x3), is 9.

Answer:

it should be 36

Step-by-step explanation:

30% of 120 is 36....

Answer:

i believe that all of them are right, if they are not please correct me

Step-by-step explanation:

m= y= 2x +4

p=  y= 1x- 1

n=  y= -4x

L=  y= 0x+ 4

hope this helps!

4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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Answer:c

Step-by-step explanation:

c

Answer:b

Step-by-step explanation:

If Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. The things that most likely happened in Sandy's experiment is: C. Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.

Sandy's experimental probability was closest to the theoretical probability in the experiment with 1,000 flips.

This is because as the number of trials increases, the experimental probability tends to as well  approach the theoretical probability. The theoretical probability of getting heads or tails in a fair coin flip is always 0.5 or 50%. The larger the sample size, the more likely the experimental probability will be close to the theoretical probability.

Therefore the correct option is C.

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Based on the data in this sample, an estimated 3,042 people in attendance would prefer ketchup on a hot dog. The answer is 3,042.

we need to use the proportion of people who prefer ketchup on a hot dog in the sample of 150 people and apply it to the total attendance of 8,450 people.

The proportion of people who prefer ketchup on a hot dog in the sample of 150 people is:

54/150 = 0.36

So, 36% of the sample prefers ketchup on a hot dog.

To estimate how many people in the entire attendance would prefer ketchup, we can multiply the proportion by the total attendance:

0.36 x 8,450 = 3,042

Therefore, based on the data in this sample, an estimated 3,042 people in attendance would prefer ketchup on a hot dog. The answer is 3,042.

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Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

HOPE THAT HELPS BUT I DO NOT HAVE ANSWER

Step-by-step explanation:

3×2k=????

3×5=??

6×k=??

6×4=??

then put all those together in a 2 step equation and then add 9 to the answer

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

1/3

The notation P(x) is used to describe the probability of event x occurring.

Divisors

Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:

All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.

Probability

The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.

The probability of rolling a number that is not a divisor of 6 is 1/3.

Answer:

To solve the system of equations using subtraction, you need to eliminate one of the variables by adding or subtracting the equations. In this case, we can eliminate x by multiplying the first equation by 2 and subtracting it from the second equation:

2x - 5y = 1

- (2(x - 6y) = 2x - 12y = 22)

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

-17y = -21

Now we can solve for y:

-17y = -21

y = (-21) / (-17)

y = 1.2353

Substitute y into one of the original equations to solve for x:

x - 6y = 11

x - 6(1.2353) = 11

x - 7.4118 = 11

x = 18.4118

Therefore, x = 18.4118 and y = 1.2353.

I hope this helps!

If Julian, an experienced motorcycle mechanic, recently decided to share his expertise by writing and selling an ebook.  Julian can charge $10 or $30 per download to earn exactly $900 in profit in his first year.

To find the prices that Julian can charge per download to earn exactly $900 in profit in his first year, we can use the equation:

Profit = revenue - cost

Let's first calculate the revenue Julian earns from selling his ebook:

revenue = price per download x number of downloads

Using the given information, we can express the number of downloads as:

number of downloads = -4x + 160

Substituting this into the revenue equation, we get:

revenue = price per download x (-4x + 160)

Now, let's calculate the cost that Julian pays to the online bookstore:

cost = 0.25(price per download) x (-4x + 160)

The factor of 0.25 represents the 25% commission that the online bookstore charges Julian.

Substituting these revenue and cost expressions into the profit equation, we get:

900 = (price per download x (-4x + 160) x 0.75) - (0.25(price per download) x (-4x + 160))

Simplify:

900 = (3/4)x(-4x + 160) - (1/4)x(-4x + 160)

900 = (-3x^2 + 120x) / 4

Multiplying both sides by 4:

3600 = -3x^2 + 120x

Rearranging and simplify:

x^2 - 40x + 1200 = 0

We can solve for x using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = -40, and c = 1200.

Substituting these values

x = (40 ± sqrt(40^2 - 4(1)(1200))) / 2

Simplifying:

x = 10 or x = 30

Therefore, Julian can charge $10 or $30 per download to earn exactly $900 in profit in his first year.

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The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.

Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.

The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.

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Step-by-step explanation:

I apologise for the quality.

The exact length of PA will be 5.66 units. And the sine of angle P is 0.707 and the cosine of angle P will be 0.707.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔPAT is an isosceles right-angle triangle with PA = AT.

Then the length of the side PA will be

8² = PA² + AT²

64 = PA² + PA²

PA² = 32

PA = 5.66

PA = AT = 5.66

Then the sine of angle P will be

sin P = 5.66 / 8

sin P = 0.707

Then the cosine of angle P will be

cos P = 5.66 / 8

cos P = 0.707

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Answer:

Letter B, C and E are correct

Step-by-step explanation:

hope this helps

tell if you got it right

Answer:

Letter B, C and E are correct

Step-by-step explanation:

hope this helps

D 231 = 46w can be used to solve for w, the number of white eggs used last week.

Answer:

yes

no

no

yes

no

Step-by-step explanation:

7/20 + 3/5 = 19/20 (yes/no) | it goes through

3/5 + 3/10 = 3/15 (yes/no) | doesn't go through

1/2 + 2/3 = 3/5 (yes/no) | doesn't go through

1/10 + 1/2 = 3/5 (yes/no) | it goes through

3/5 + 1/20 = 9/20 (yes/no) | doesn't go through

Answer:

When describing data, always start with a graphical representation.

 Graphs help identify the overall distribution pattern. Looking at a graph

makes it visually clear how spread a variable is, which values occur most

frequently, and whether or not the distribution is skewed.

 Next, obtain more precise information by providing a numerical summary of

the data using the mean, median, range, five-number summary, and any

other appropriate information.

 Some distributions are so regular that they can be described by a smooth

curve. Real data are represented in a histogram. Curves represent a symbol,

or an abstract version of a distribution.

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

Step-by-step expArionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant.

lanation:

Answer:

The short answer you are looking for is C!

Step-by-step explanation:

I hope you all live a long prosperous life, I wish that you and your family live long and happy, I hope that you will all get through this pandemic and get good flying grades! god bless you if you read this to the end, I love you. ʕっ•ᴥ•ʔっ <3

The range of the functions is the set made of the f(x) values. Therefore the range is:

Answer:

2.66666666667

or

266666666667/100000000000

Step-by-step explanation:

9514 1404 393

Answer:

  2 2/3

Step-by-step explanation:

The minus signs cancel, so the sum is ...

  4/2 +2/3

The improper fraction on the left reduces to 2, so this is ...

  2 +2/3

That sum is simply the mixed number 2 2/3.

Answer:

  a) 12 points

  b) A: 3 questions; B: 2 questions

Step-by-step explanation:

The least number of points each section may have is the least common multiple of 4 and 6. That is a number that will have all of the factors of 4 and all of the factors of 6: 2×2×3 = 12.

Each part is worth 12 points.

Part A has 12/4 = 3 questions.

Part B has 12/6 = 2 questions.

P + Q = 180

43 + Q = 180

Q = 180 - 43

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The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

90 dollars

Step-by-step explanation:

so first you need to solve for the rate of change or slope with the equation

y 2 - y1 / x2 - x1

here i think the independent variable is number of roses since the dollars rely on the number of roses (sorry for my explanation its kinda bad)

so since number of roses is independent we know that it is x and that the price in dollars is y

anyways we have to substitute two values into the equation

y 2 - y1 / x2 - x1

(3, 9) (6, 18)

18 - 9 / 6 - 3

9 / 3

3

knowing that the rate of change is 3, to find the price for 30 roses all we have to do is:

let p be price

p = 3x

p = 3(30)

p = 90 dollars

Answer:

18 1/2

Step-by-step explanation:

add 13 1/3 and 4 3/4

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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