y is directly proportional to x. When x = 2, y = 64. Find x when y = 80​

The triangle is a scalene triangle.

The measures of the three angles of a triangle are x, x+10, and 2x-6. What type of triangle must it be? The sum of the measures of the three angles in a triangle is 180 degrees, which means that:

   x + x + 10 + 2x - 6 = 180

This simplifies to,

   4x + 4 = 180,

   or 4x = 176, or x = 44

Once we have found x, we can now find the measures of the three angles of the triangle: the first angle is x, which is 44°, the second angle is x+10, which is 54°; and the third angle is 2x-6; which is 82°. A scalene triangle is a triangle with all sides and angles of unequal lengths. Since none of the angles has the same measure, the triangle is scalene. The correct answer is option C. Scalene Triangle.

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On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56

Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

\(70-56=14\)

So, the maximum number of questions you may omit is 14.

As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70 \(= .20)(70) = 14\)

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Answer:

1344

Step-by-step explanation:

The dimensions of the poster with the smallest area are 48 cm by 16 cm.

Let the width of the printed material be x cm and the height be y cm. Then the total width of the poster including the margins is (x + 16) cm, and the total height is (y + 24) cm.

The total area of the poster is the area of the printed material plus the area of the margins:

(x + 16)(y + 24) = 1536

Expanding the left side, we get:

xy + 16y + 24x + 384 = 1536

Rearranging terms, we get:

xy = 1152 - 16y - 24x

To find the dimensions of the poster with the smallest area, we want to minimize the product xy subject to the constraint given by the equation above.

One way to do this is to use the method of Lagrange multipliers. Let L = xy + λ[(x + 16)(y + 24) - 1536] be the Lagrangian, where λ is a Lagrange multiplier. Setting the partial derivatives of L with respect to x, y, and λ equal to zero, we get:

y + 16λ = 0

x + 24λ = 0

(x + 16)(y + 24) = 1536

From the first two equations, we get:

x = -24λ

y = -16λ

Substituting these into the third equation, we get:

(-24λ + 16)(-16λ + 24) = 1536

Simplifying, we get:

-6λ + 4 = 0

Therefore, λ = 2/3. Substituting this into the expressions for x and y, we get:

x = -16

y = -32

These values give the dimensions of the printed material. To find the dimensions of the poster, we add the margins:

width = x + 16 + 16 = 48 cm

height = y + 24 + 24 = 16 cm

Therefore, the dimensions of the poster with the smallest area are 48 cm by 16 cm.

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Answer:

x = 2

y = 4

Step-by-step explanation:

Your required to use standard form which is ax + by = c

To find x, you must plug in 0 for y in which you get 2. ( 12 x 2 = 24 )

You do the similar thing for finding y. You plug in 0 for x and you get 4 as y. ( 6 x 4 = 24 )

Answer:

2 solutions

Step-by-step explanation:

y = - 2x + 3 → (1)

y = x² - 6x + 3 → (2)

substitute y = x² - 6x + 3 into (1)

x² - 6x + 3 = - 2x + 3 ( subtract - 2x + 3 from both sides )

x² - 4x = 0 ← factor out x from each term on the left side

x(x - 4) = 0

equate each factor to zero and solve for x

x = 0

x - 4 = 0 ⇒ x = 4

substitute these values into (1)

x = 0 : y = - 2(0) + 3 = 0 + 3 = 3 ⇒ (0, 3 )

x = 4 : y = - 2(4) + 3 = - 8 + 3 = - 5 ⇒ (4, - 5 )

the 2 solutions are (0, 3 ) and (4, - 5 )

a. False. Any set of n linearly independent vectors in Rn is a basis for Rn, not R". b. True. c. True. d. True. e. True. The set of all solutions of a system of homogeneous equations forms a subspace of the corresponding vector space, in this case Rn.

a. This statement is false. Any set of n linearly independent vectors in Rn is a basis for Rn, not R". For example, a set of linearly independent vectors in R3 can form a basis for R3, but not for R4.

b. This statement is true. The column space of an m x n matrix A is a subspace of Rm, consisting of all possible linear combinations of the columns of A.

c. This statement is also true. The null space of an m x n matrix A is a subspace of Rn, consisting of all possible solutions to the equation Ax = 0.

d. This statement is true. The pivot columns of the echelon form of a matrix A form a basis for the column space of A.

e. This statement is true. The set of all solutions of a system of homogeneous equations in n unknowns forms a subspace of Rn, called the null space or kernel of the corresponding matrix.

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Complete question is in the image atatched below

Answer:

4 * pi

Step-by-step explanation:

Given r = 10

Formula for the circumference of this full circle is:

2 * r * pi

2 * 10 * pi = 20 * pi

Given one (biggest) part = 16 * pi of this circle.

The other (smaller) part must therefore be:

20 * pi - 16 * pi

4 * pi

The Taylor polynomials of degree 2 and 3 centered at 3 for the function \(f(x)=x^4-7x\) are:

\(T2(x) = 54 + 65(x-3) + 54(x-3)^2\\T3(x) = 54 + 65(x-3) + 54(x-3)^2 + 6(x-3)^3\)

The Taylor polynomials centered at 3 for the function \(f(x)=x^4-7x\) up to degree 3 are given by:

\(T2(x) = f(3) + f'(3)(x-3) + (f''(3)/2!)(x-3)^2\\T3(x) = T2(x) + (f'''(3)/3!)(x-3)^3\)

where f'(x), f''(x), and f'''(x) are the first, second, and third derivatives of f(x), respectively.

We first compute the derivatives of f(x):

\(f'(x) = 4x^3 - 7\\f''(x) = 12x^2\\f'''(x) = 24x\)

Next, we evaluate f(3) and its derivatives at x=3:

\(f(3) = 3^4 - 7(3) = 54\\f'(3) = 4(3)^3 - 7 = 65\\f''(3) = 12(3)^2 = 108\\f'''(3) = 24(3) = 72\)

Substituting these values into the formulas for T2(x) and T3(x), we get:

\(T2(x) = 54 + 65(x-3) + (108/2!)(x-3)^2 = 54 + 65(x-3) + 54(x-3)^2\\T3(x) = T2(x) + (72/3!)(x-3)^3 = 54 + 65(x-3) + 54(x-3)^2 + 6(x-3)^3\)

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Answer:

It can be simplified by 10 so the answer is yes

If two numbers are 10 apart then their square roots are not 10 apart and there difference vary with numbers under consideration.

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

• Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation.

Here, it is given that :

two numbers are 10 apart

let assume the numbers be 25 and 35 as there difference is 10 that is 10 apart and let us find there square roots :

√25 = 5

√35 = 5.9

As we can observe clearly the square roots of numbers are not 10 apart.

Therefore, If two numbers are 10 apart then their square roots are not 10 apart and there difference vary with numbers under consideration.

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Answer:

Something that the five major world religions (Christianity, Judaism, Buddhism, Hinduism and Islam) have in common is a sense of community. A sense of community provides group cohesion and identity, as well as a way for rituals and traditions to be passed down from generation to generation.

The probability that the sample mean will be greater than $1,035 when using a population standard deviation of $227, where the average apartment rent in the U.S. is $1,083, and a random sample of 39 apartments was selected can be calculated using the Z-score.

The formula for calculating the Z-score is given below:

Z = (X - μ) / (σ/√n) where X = the sample mean = $1,035μ =

the population mean

= $1,083σ = the population standard deviation =

$227n = the sample size = 39Substituting these values in the above formula, we have:

Z = (1,035 - 1,083) / (227/√39)Z = -1.65Using the standard normal distribution table, we can find the probability that the Z-score is greater than -1.65. This probability is equal to the area to the right of -1.65 on the standard normal distribution curve.

Using a standard normal distribution table, the area to the right of -1.65 is 0.9505. Therefore, the probability that the sample mean will be greater than $1,035 is 0.9505 or approximately 95%.Hence, the probability that the sample mean will be greater than $1,035 is approximately 95%.

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Answer:

Tuesday (TOP)

Monday

Wednesday

Step-by-step explanation:

M 30%

T 25%

W 45%

Answer:

-38

Step-by-step explanation:

-51 + 13(-4h + 57)^2

-51 + 13 [-4(14) + 57]²

-51 + 13 (-56 + 57)²

-51 + 13(1)²

-51 + 13(1)

-51 + 13

= -38

Answer:

H(1 , 0.5)

F(3 , 2,5)

G(5 , 0.5)

Step-by-step explanation:

First step is to get the coordinates of the points.

H(2,1)

F(6,5)

G(10,1)

To find the vertices after a dilation, we multiply the coordinates by the scale factor of the dilation. Since the scale factor is 0.5, its the same as dividing by two.

The new points are

H(1 , 0.5)

F(3 , 2,5)

G(5 , 0.5)

The probability that the proportion willing to switch companies if offered a higher salary is between 0.9115 and 0.946 is 0.08192

According to the question,

Percentage of business manager willing to switch companies if salary increase 20% = 85%

So, Population Proportion that wants to change company : p = 0.85

Population proportion that does not want to switch : q = 0.15

Sample size taken by SRS : n = 51

We have to calculate the probability that the proportion willing to switch companies if offered a higher salary is between 0.9115 and 0.946

i.e. P( 0.9115 < \(\hat{p}\) < 0.946)

As we know ,

Z statistic for calculating population proportion is

Z =  \(\hat{p}\) - p / √pq/n

So, P( 0.9115 < \(\hat{p}\) < 0.946)

Subtracting by p and dividing by √pq/n both sides,

=> P( 0.9115 - p / √pq/n < \(\hat{p}\) - p / √pq/n  < 0.946 - p / √pq/n)

Using Z-statistics given above,

=> P(0.9115 - 0.85 /√0.85×0.15/51 < Z < 0.946 - 0.85 /√0.85×0.15/51 )

=> P(0.0615/√0.0025 < Z < 0.096/√0.0025)

=> P(0.0615/0.05 < Z < 0.096/0.05)

=> P( 1.23 < Z < 1.92)

Using Probability distribution table,

P( 0.9115 < \(\hat{p}\) < 0.946) = 0.08192

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Using the percentage-of-credit-sales method, Lindsey Corp. would report a bad debt expense of $40,000 for the year, assuming their total credit sales were $500,000 and they estimated 8% of those sales to be uncollectible.

Lindsey Corp. uses the percentage-of-credit-sales method to estimate their bad debt expense. According to their estimation, 8% of their credit sales are anticipated to be uncollectible. To calculate the bad debt expense for the year, Lindsey Corp. would follow these steps:

Multiply the total credit sales by the estimated percentage of uncollectible sales,

Next, Lindsey Corp. would multiply the total credit sales by the estimated percentage of uncollectible sales (8% in this case). This calculation gives us the anticipated amount of credit sales that are expected to become bad debts.

Mathematically, the formula would be:

Bad Debt Expense = Total Credit Sales * Percentage of Uncollectible Sales

If Lindsey Corp. had $500,000 in total credit sales for the year, the calculation would be:

Bad Debt Expense = $500,000 * 0.08 = $40,000

Finally, Lindsey Corp. would report the calculated amount as their bad debt expense for the year. This expense is recorded on the income statement to reflect the potential loss from uncollectible credit sales.

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Eli should not have written option D, (7+3).2, when applying the distributive property to the expression 2(7+3).

The distributive property states that when you multiply a number by a sum or difference inside parentheses, you need to multiply the number by each term inside the parentheses. In this case, Eli needs to multiply the number 2 by each term inside the parentheses (7 and 3). Let's analyze each option:

A. 2(10): Eli correctly applied the distributive property by multiplying 2 by 10, which is the result of adding 7 and 3.

B. 2(7) = 2(3): Eli correctly applied the distributive property by multiplying 2 by both 7 and 3 separately.

C. 2(3+7): Eli correctly applied the distributive property by multiplying 2 by the sum of 3 and 7.

D. (7+3).2: This expression does not apply the distributive property correctly. The parentheses indicate addition, not multiplication. Eli should have multiplied 2 by both 7 and 3, rather than adding them first.

Therefore, option D is the incorrect one, and Eli should not have written (7+3).2 when applying the distributive property to the given expression.

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Answer:

the circumference is 31.4

Step-by-step explanation:

The computation of the circumference is shown below:

As we know that

Circumference is

= 2πr

= 2π (10 ÷ 2)

= 2× 3.14 × 5

= 31.4

Hence, the circumference is 31.4

Answer:

I think you have it

Step-by-step explanation:

It's not -4.44, and if it was -3.14 it would be closer to the -3 tick on the line. With the negative square root of 17 being 4.12 it's not that either. -11/3 is 3.6666667 or something along those lines so it would be closer to the -4 tick on the line, so I'm pretty sure you got it.

Answer:

Step-by-step explanation:

The length of the edge = x

Surface area:

Answer:

That's a Trapezium

Area =½( A + B)x H

A and B are the top and bottom of the shape.

H is the height.

Substituting...

Area = ½(13+17)8

=120 Square Inches

Answer:

B. 120 in.²

Step-by-step explanation:

13 × 8 = 104 in.²

17 - 13 = 4

4 × 8 = 32

32 ÷ 2 = 16

16 in.² + 104 in.²

120 in.²

Answer:

B) Quadratic Function

Step-by-step explanation:

\(f(x)=2x(x+3)=2x^2+6x\), which is a second-degree polynomial, so it is a quadratic function.

The 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

To calculate the confidence interval, we can use the formula:

Confidence interval = Sample mean ± (Critical value * Standard error)

Given that the sample mean is 42 miles per hour and the standard deviation is 4.2 miles per hour, we need to determine the critical value and the standard error.

Since we have a sample size of 85, we can use the t-distribution with (n-1) degrees of freedom to find the critical value. With a 90% confidence level, the corresponding critical value for a two-tailed test is approximately 1.66.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard error = (Standard deviation) / √(Sample size)

Standard error = 4.2 / √85 ≈ 0.456

Now we can plug in the values into the confidence interval formula:

Confidence interval = 42 ± (1.66 * 0.456)

Confidence interval ≈ (41.29, 42.71)

Therefore, the 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

Based on the given data and calculations, we can conclude that with 90% confidence, the average speed of all the cars passing through the intersection falls within the range of 41.29 to 42.71 miles per hour.

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To fully define a vector quantity, you must specify Magnitude, Direction and Reference Point

1. Magnitude: The magnitude of a vector represents the size or length of the vector. It is typically denoted by a scalar value and can be expressed in appropriate units. For example, if you're describing a velocity vector, the magnitude might be 10 meters per second.

2. Direction: The direction of a vector indicates the orientation or angle at which the vector is pointed. It can be specified using various methods, such as angles measured relative to a reference axis or using directional descriptors like north, south, east, or west. For example, a velocity vector might be pointing at an angle of 30 degrees east of north.

3. Reference Point or Origin: A vector is typically defined with respect to a reference point or origin. This point serves as a starting point for measuring the vector's position or displacement. It helps establish a frame of reference for interpreting the vector's direction and magnitude. For example, if you're describing a displacement vector, you would need to specify the reference point from which the displacement is measured.

By specifying these three components—magnitude, direction, and reference point—you can fully define a vector quantity and convey all the necessary information about its properties and characteristics.

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Answer:

16 for Sol A and 24 for Sol B

Step-by-step explanation:

Let x = the number of ounces of Solution A

Let y = the number of ounces of Solution B

x + y = 40        y = 40 - x

.60x + .85y = .75(40)

.60x + .85y = 30      Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 3000

60x + 85(40 - x) = 3000

60x + 3400 - 85x = 3000

-25x = -400

x = 16 ounces

y = 40 - 16

y = 24 ounces          

Step-by-step explanation:

Cost of each golf ball = $9.31 / 18

≈ $9 / 18 = $0.5.

Answer: 0.5172222222222222

Step-by-step explanation: divide 18 by 9.31