Segments BG and AH are lines are what.
A.skew
B. Perpendicular
C. Parallel

Answer:

20 Books

Step-by-step explanation:

The given expression is:
5m^2 + 9n^3 - mn^2 + 2m^3

This expression is a polynomial. The correct answer is option c.

It consists of four terms:

5m^2: This term is a monomial with a coefficient of 5 and a single variable, m, raised to the power of 2.

9n^3: This term is a monomial with a coefficient of 9 and a single variable, n, raised to the power of 3.

-mn^2: This term is a monomial with a coefficient of -1 and two variables, m raised to the power of 1 and n raised to the power of 2.

2m^3: This term is a monomial with a coefficient of 2 and a single variable, m, raised to the power of 3.

Therefore, The expression 5m^2 + 9n^3 - mn^2 + 2m^3 is a ploynomial. which is option c

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The probable question may be:

What is 5m^2+9n^3-mn^2+2m^3

choose the correct answer

a) monomial

b) binomial

c) polynomial

Answer:

Step-by-step explanation:

Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

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Answer:

220

Step-by-step explanation:

The interpretation of the 1001 measurements in the third set of data vary due to reasons are as follow,

Measurement error, Random variation and Sampling error.

Measurement error: The measurand being measured may have inherent variability, but measurement error can also contribute to variation in the data set.

Random variation: Even if the same measurand is being measured under the same conditions, there may be random fluctuations in the system or the environment that can cause variation in the data.

Sampling error: If the 11 measurements were not taken at random from the population of interest, then the variation could be due to sampling error.

For the 1001 measurements in the second and third data sets, some possible explanations for the variation could be measurement error, systematic variation, changes in the measurand and Sampling error.

Thus, variation in data can have many different causes, and it is important to carefully consider the context and specific factors that may be contributing to the variation when interpreting the results.

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Answer:

B, C

Step-by-step explanation:

In the first 30 days, plant B manufactured the most watches, in 80 days the plant C manufactured the most watches.

Answer:

$34.98

Step-by-step explanation:

$5.30 x 6 3/5 = $34.98

Step-by-step explanation:

This is true statement.

have a great day

Answer:

Step-by-step explanation:

-\(-\frac{1}{5} (x-25)=7\\x-25=7 \times -5\\x-25=-35\\x=-35+25\\x=-10\)

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Hey there!

Convert the fraction to decimals.

-3/5 = -0.6

-0.6 < -0.4

Hence, -3/5 is not equal to -0.4.

Answer = NO

Hope it helps ya!

The solution to the initial-value problem using the Laplace transform is y(t) = (1/25)(1 - \(e^{(-5t)\)) - (1/25)t + (1/125)\(e^{(-5t)\).

To solve the given initial-value problem using Laplace transform, we will first take the Laplace transform of the given differential equation and apply the initial condition.

Take the Laplace transform of the differential equation:

Applying the Laplace transform to the equation y' + 5y = f(t), we get:

sY(s) - y(0) + 5Y(s) = F(s),

where Y(s) represents the Laplace transform of y(t) and F(s) represents the Laplace transform of f(t).

Apply the initial condition:

Using the initial condition y(0) = 0, we substitute the value into the transformed equation:

sY(s) - 0 + 5Y(s) = F(s).

Substitute the given function f(t):

The given function f(t) is defined as:

f(t) = t, 0 ≤ t < 1

f(t) = 0, t ≥ 1

Taking the Laplace transform of f(t), we have:

F(s) = L{t} = 1/s²,

Solve for Y(s):

Substituting F(s) and solving for Y(s) in the transformed equation:

sY(s) + 5Y(s) = 1/s²,

(Y(s)(s + 5) = 1/s²,

Y(s) = 1/(s²(s + 5)).

Inverse Laplace transform:

To find y(t), we need to take the inverse Laplace transform of Y(s). Using partial fraction decomposition, we can write Y(s) as:

Y(s) = A/s + B/s² + C/(s + 5),

Multiplying both sides by s(s + 5), we have:

1 = A(s + 5) + Bs + Cs².

Expanding and comparing coefficients, we get:

A = 1/25, B = -1/25, C = 1/125.

Therefore, the inverse Laplace transform of Y(s) is:

y(t) = (1/25)(1 - \(e^{(-5t)\)) - (1/25)t + (1/125)\(e^{(-5t)\).

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Answer:

\( {x}^{2} + 12x - 28 = 0\)

\((x + 14)(x - 2) = 0\)

x = -14, 2

Step-by-step explanation:

x 2+12x−28=0

(�+14)(�−2)=0

(x+14)(x−2)=0

x = -14, 2

Answer:

Step-by-step explanation:

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

The availability of this repairable product is approximately 0.762, or 76.2%.

In order to find the availability of a repairable product, we need to consider its failure rate and mean time to repair. The formula for availability (A) is:

A = MTBF / (MTBF + MTTR)

Where MTBF is Mean Time Between Failures and MTTR is Mean Time To Repair.

Since we have a constant failure rate (λ), we can calculate the MTBF as the inverse of the failure rate:

MTBF = 1 / λ

In this case, the failure rate (λ) is 0.0078 failures per hour. Let's calculate the MTBF:

MTBF = 1 / 0.0078 = 128.205 hours

Now, we know the MTTR is 40 hours. We can use the availability formula to find the answer:

A = MTBF / (MTBF + MTTR)
A = 128.205 / (128.205 + 40)
A = 128.205 / 168.205
A ≈ 0.762

So, the availability of this repairable product is approximately 0.762, or 76.2%.

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9514 1404 393

Answer:

  y = 12

Step-by-step explanation:

The angle bisector divides the sides of the triangle proportionally. This tells us ...

  y/6 = 8/4

  y = 6(2) . . . . . multiply by 6

  y = 12

Answer: D) 15.7

Step-by-step explanation:

Start with the formula C=2 πr

Then solve for r r=C2π = 98.62·π = 15.69(7)204

The radius of the circle is 15.7 mm.

The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.

We have,

The circumference of Circle = 2πr

Also, The circumference of a circle is 98.596 millimeters.

So, circumference of Circle = 2πr

98.596 = 2πr

98.596 = 6.28r

r= 98. 596 / 6.28

r = 15.7 mm

Thus, the radius is 15.7 mm.

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Answer:

520

Step-by-step explanation:

nth term = + 8

Answer:

need more info. this doesn't make sense

Step-by-step explanation:

The base 10 value of the 3-digit hexadecimal number 2E5 is 741. The probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.

a) To convert a hexadecimal number to its decimal equivalent, you can use the following formula:

(decimal value) =\((last digit) * (16^0) + (second-to-last digit) * (16^1) + (third-to-last digit) * (16^2) + ...\)

Let's apply this formula to the hexadecimal number 2E5:

(decimal value) = \((5) * (16^0) + (14) * (16^1) + (2) * (16^2)\)

= 5 + 224 + 512

= 741

Therefore, the base 10 value of the 3-digit hexadecimal number 2E5 is 741.

b) To find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, we need to determine the number of valid options and divide it by the total number of possible 3-digit hexadecimal numbers.

The number of valid options with only letters can be calculated by considering the following:

Therefore, the total number of valid options is 6 * 6 * 6 = 216.

The total number of possible 3-digit hexadecimal numbers can be calculated by considering that each digit can be any of the 16 possible characters (0-9, A-F), allowing repetition. So, we have 16 choices for each digit.

Therefore, the total number of possible 3-digit hexadecimal numbers is 16 * 16 * 16 = 4096.

The probability is then calculated as:

probability = (number of valid options) / (total number of possible options)

= 216 / 4096

To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which in this case is 8:

probability = (216/8) / (4096/8)

= 27 / 512

Therefore, the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.

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STEP1:

Equation at the end of step 1

(2²x³• 2) • x³

STEP2:

Multiplying exponents:

2.1 2² multiplied by 2¹ = \(2 {}^{(2 + 1)} \) = 2³

Equation at the end of step2:

2³x³ • x³

STEP3:

Multiplying exponential expressions :

3.1 x³ multiplied by x³ = \( {x}^{(3 + 3)} \) = x⁶

Final result :

2³x⁶

Answer:

1.99m²

Step-by-step explanation:

From the above question

1 ft = 3.281 m

1 ft² = (3.281 m)²

Converting 21.4 ft² to m²

1 ft² = (3.281 m)²

21.4 ft² = xm²

x m² = 21.4 ft²/ (3.281 m)²

x m² = 1.9879310292 m²

Approximately :

21.4 ft² = 1.99m²

Aryabhata, the famous Indian mathematician discovered 0.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

The concept of zero was first developed by ancient Indian mathematicians as early as the 5th or 6th century CE. However, the actual symbol for zero (a small circle) was invented by the Indian astronomer and mathematician Brahmagupta in 628 CE.

Aryabhatta, the famous Indian mathematician discovered 'zero'. Grutsamad discovered the process of writing zeroes after figures.

Hence, Aryabhata, the famous Indian mathematician discovered 0.

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Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

The estimated cost of a vehicle to drive through the safari in 2011, we need to substitute the value of x (number of years since it opened in 2005) as 6 into the regression equation y = 3.648 * 1.182x.

Plugging in x = 6, the equation becomes: y = 3.648 * 1.182 * 6

Calculating the expression: y = 25.849536

Rounding to two decimal places, the estimated cost is approximately $25.85.

Among the given options, the closest value to $25.85 is $22.95 (Option B). Therefore, $22.95 would be the best estimate for the cost of a vehicle to drive through the safari in 2011.

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If the company made a profit of $112000, i first year operation, then the total profit made by the company in 26 years of operation is $8170286.

In order to find the profit after 26 years, we use the formula for "future-value" of investment with compound interest;

⇒ FV = PV × (1 + r)ⁿ,

where FV is = future value, PV is = present value, r is = interest rate per period, and n = time (in years),

In this case, the "present-value" is $112,000, the "interest-rate" per period is 18%, and time is 26 years.

We have to find the total profit, which is = "future-value" - "present-value",

⇒ Total profit = FV - PV,

Substituting the value,

We get,

⇒ FV = $112000 × (1 + 0.18)²⁶,

⇒ FV = $8282285.79 ≈ $8282286,

So, Total profit = $8282286 - $112000,

Total profit = $8170286,

Therefore, the company would make a total-profit of $8170286.

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