In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87

Answer: 57

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Answer:

57

Step-by-step explanation:

y=7

so you do 1 x 7  

so you do 7 plus 10x z when z=5

so 7+50

Answer:

97.92 m³ (nearest hundredth)

Step-by-step explanation:

The composite solid is a cube with a cone cut out.

Therefore, to find the volume of the solid, subtract the volume of the cone from the volume of the cube.

\(\textsf{Volume of a cube}=\sf s^3 \quad\textsf{(where s is the side length)}\)

Given:

Substitute given value into the formula:

\(\begin{aligned}\implies \sf V_{cube} & = \sf 5.1^3\\& = \sf 132.651\: m^3\end{aligned}\)

\(\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)

Given:

Substitute given values into the formula:

\(\begin{aligned}\sf \implies V_{cone} & = \sf \dfrac{1}{3} \pi (2.55^2)(5.1)\\& = \sf 11.05425 \pi \: m^3\end{aligned}\)

\(\begin{aligned}\sf V_{solid} & = \sf V_{cube}-V_{cone}\\& = \sf 132.651-11.05425 \pi \\& = \sf 97.92304941...\\& = \sf 97.92 \: m^3 \: (nearest\:hundredth)\end{aligned}\)

Volume of the cube

For the cone

Volume

Total volume of the figure

Answer:

y = 1/3x + 1

Step-by-step explanation:

4-3/9-6

1/3.  slope = 1/3 = m

2. plug the values into the equation to find y-int. You can use whichever point is given to you

I'll use (6,3)

y = mx + b

3 = 1/3(6)+b

1/3(6)=2

3 = 2 + b

3. subtract 2 from both sides and you get b

b = 1

So, the equation of the line would be

y = 1/3x + 1

Answer:√40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.

Answer:

Between 6 and 7

Step-by-step explanation:

40 lies between 36 and 49

find square root of each (6 and 7)

Answer:

...

Step-by-step explanation:

(x-1) will cancel each other so the answer is the last one

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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Answer

C because 2 quarts make's one gallon

Step-by-step explanation:

Answer:

XZ = 9 * 4= 36

BC = 48 / 4 = 12

Answer:

XZ = 9 * 4= 36   /  BC = 48 / 4 = 12

Step-by-step explanation:

Answer:

y=-3x-2

Step-by-step explanation:

Two numbers whose product is 1 are called multiplicative inverses or reciprocals.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

There are two numbers whose product is 1.

Let the two numbers are a and b.

Since, the product of numbers is 1, implies that,

Both the numbers are multiplicative inverse or reciprocal to each others,

Implies that,

a = 1/b

So, the numbers are in the form of 1/b and b.

Hence, both the numbers are reciprocals to each other.

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Two numbers whose product is 1 are called the multiplicative inverse of a number or its reciprocal.

Lets the two number are x and  \(\dfrac{1}{x}\). Then  \(\dfrac{1}{x}\) Is a multiplicative inverse or reciprocal  of x. Since when we multiply both the numbers we get their product is 1.

Hence, for any non-zero number "x" its multiplicative inverse is denoted as \(\dfrac{1}{x}\).

We can say, if two numbers x and \(\dfrac{1}{x}\) Satisfies the equation \(x\times\dfrac{1}{x}=1\) Then they are reciprocals or multiplicative inverses of each others.

0 has no reciprocal, since when any number is multiplied with 0 it will always result in 0  not 1.

Hence, the answer is: Two numbers whose product is 1 are called or reciprocals.

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  Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.

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The average collection period for accounts receivable in days for Blue Spruce Corp. is approximately 59.9 days.

To calculate the average collection period, we need to determine the average accounts receivable balance. We can do this by adding the beginning and ending accounts receivable balances and dividing the sum by 2. In this case, the average accounts receivable balance is ($82,800 + $45,600) / 2 = $64,200.

Next, we need to divide the net sales by the average accounts receivable balance and multiply the result by 365 (the number of days in a year). This gives us ($624,000 / $64,200) * 365 = 3.579 * 365 ≈ 1,306.135.

Therefore, the average collection period for accounts receivable is approximately 59.9 days. This means it takes Blue Spruce Corp. around 59.9 days, on average, to collect payment from its customers. A lower average collection period is generally preferable, as it indicates quicker cash flow and better liquidity for the company.

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Answer:

\(B= 41\); \(C = 56\); \(A = 83\)

Step-by-step explanation:

Given

\(A = 2x + 1\)

\(B = x\)

\(C = x + 15\)

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

\(A + B + C = 180\)

Substitute values for A, B and C

\(2x + 1+ x + x + 15 = 180\)

Collect Like Terms

\(2x + x + x = 180 - 15 -1\)

\(4x = 164\)

Solve for x

\(x= 164/4\)

\(x= 41\)

Solve for A, B and C

\(A = 2x + 1\)

\(A = 2 * 41 + 1\)

\(A = 82 + 1\)

\(A = 83\)

\(B = x\)

\(B= 41\)

\(C = x + 15\)

\(C = 41 + 15\)

\(C = 56\)

From Smallest to Largest, we have:

\(B= 41\); \(C = 56\); \(A = 83\)

The probability that an order includes sleeping mats is 6.75%, and the probability of an order including a tent given that it includes sleeping mats is 45%.

1.Probability that the order includes sleeping mats:

Given that 45% of orders including tents also include sleeping mats, and 45% of orders include tents, we can calculate the probability of an order including sleeping mats. The probability of an order including sleeping mats is equal to the percentage of orders including tents multiplied by the percentage of those orders that also include sleeping mats. Therefore, the probability is 45% * 15% = 6.75%.

2.Probability that the order includes a tent given it includes sleeping mats:

To find the probability of an order including a tent given that it includes sleeping mats, we need to consider the percentage of orders including both tents and sleeping mats (which is 6.75%) and divide it by the probability of an order including sleeping mats (15%). This gives us 6.75% / 15% = 0.45 or 45%.

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1. The two triangles are congruent. ΔABC ≅ ΔFDE by AAS.

2. They are not necessarily congruent.

3. They are congruent. GHI ≅ ΔLJK by ASA.

1. The two triangles have two pairs of congruent angles and a pair of congruent non-included sides. Therefore, they are congruent by the AAS conrguence theorem. Thus, ΔABC ≅ ΔFDE

2. The two triangles have two pairs of congruent sides. This is not enough to prove they are congruent triangles. Therefore, they are not necessarily congruent.

3. The two triangles have two pairs of congruent angles and a pair of congruent included sides. Therefore, they are congruent by the ASA conrguence theorem. Thus, GHI ≅ ΔLJK.

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the height of the triangle formed by the diagonal and base of the TV screen.

The height of the TV is approximately 15.6 inches.

(26 inches / √2) = 18.8 inches

(18.8 inches * √2) = 26 inches

Height = (26 inches / 18.8 inches) * 18.8 inches

Height = 15.6 inches

Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.

Hypotenuse = diagonal / √2

Hypotenuse = 26 inches / √2

Hypotenuse = 18.8 inches

Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.

Diagonal = hypotenuse * √2

Diagonal = 18.8 inches * √2

Diagonal = 26 inches

Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.

Height = diagonal / base

Height = 26 inches / 18.8 inches

Height = 15.6 inches

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The type of statistical technique that is employed in future predictions of outcomes based on presented data is: C. linear regression.

Linear regression can be described as a statistical technique that is used to make future predictions using the regression equation of a line of best fit that models the relationship between variables Y and X.

Through the regression equation, outcomes of the future can be predicted. This statistical technique is known as: C. linear regression

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Answer:

You will be facing in a 90 degree angle.

Step-by-step explanation:

Did you mean like on a compass?

Answer:

East

Step-by-step explanation:

Answer:

y = (-5/9)x + 30/9

Step-by-step explanation:

To rewrite the equation 5x + 9y = 30 in slope-intercept form, we need to isolate y on one side of the equation.

5x + 9y = 30

Subtract 5x from both sides of the equation to isolate 9y:

5x - 5x + 9y = -5x + 30

9y = -5x + 30

Divide both sides of the equation by 9 to solve for y:

9y/9 = (-5x + 30)/9

y = (-5/9)x + 30/9

Answer:

(1,0)

Step-by-step explanation:

I'm just gonna say that the point you want to be transformed is the origin. It will be moved to (1,0)

There are 4 terms in the simplified equation making it a quadrinomial

The result is Quadrinomial cubic

Start by simplifying the polynomial using the FOIL method:

Multiply one by one:

First multiply the term:

\((2a-5)(a^2-1)=(2a)(a^2-1) -5(a^2-1)\)

And, split out the terms, we get

\((2a-5)(a^2-1)=(2a)(a^2)+(2a)(-1)+(-5)(a^2)+(-5)(-2)\\\\(2a-5)(a^2-1)=2a^3-2a-5a^2+5\)

Now, the degree is equivalent to the highest exponent in the polynomial. So, the degree for this polynomial is 3 meaning its a cubic.

There are 4 terms in the simplified equation making it a quadrinomial

Hence, The result is Quadrinomial cubic .

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Answer:

D)

Step-by-step explanation:

parent and meal choice

Answer:

d

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

Using compatible numbers, which is the best estimate of (28.5)(7.1)?

Answer: So let's round 28.5 to 29 because 4 and below let it rest. 7.1 is gonna be 7. Now, 29x7= 203 and since 300 and 36 are way off, we find the answer as 210(B)

Step-by-step explanation:

Answer:

167.55 ur welcom

Answer:

5

Step-by-step explanation:

All of the x values are 5, so the domain is 5

The length of vacation or time when each resort cost about the same is 32 days.

From the information given, it was stated that Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay and each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay.

The equation to compute the time will be:

1350 + 149x = 900 + 135x

Compute like terms

149x - 135x = 1350 - 900

14x = 450

x = 450/14

x = 32

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we would expect the result to be within 3 percentage points of the true population value 95 of those times.

sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.

The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.

A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

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We are required to determine the inverse Laplace transform using convolution method for the function

F(s) = S² (S²+2).Step-by-step solution The inverse Laplace transform of a function F(s) can be found by breaking it into partial fractions and using the known inverse Laplace transforms.

However, in case of complex roots, it is difficult to use partial fractions. In such cases, convolution method can be used. The steps to determine the inverse Laplace transform using convolution method are as follows: Step 1: Write the function in partial fraction form. In this case, we have:S²/(S²+2) = A - A/(S²+2)S²+2/(S²+2)

= A/(S-i√2) + A/(S+i√2)

Step 2: Take the inverse Laplace transform of both sides:

S²(t) = L^-1{A - A/(S²+2)} = Aδ(t) - A/√2L^-1{1/(S²+2)}S²+2(t)

= L^-1{A/(S-i√2) + A/(S+i√2)}

= A/√2 e^(i√2t) + A/√2 e^(-i√2t)L^-1{S²+2}Step 3: Use convolution theorem

S(t) = L^-1{F(s)}

= L^-1{S²/(S²+2)}

= L^-1{A - A/(S²+2)} * L^-1{1/(S²+2)}

= [Aδ(t) - A/√2L^-1{1/(S²+2)}] * [A/√2 e^(i√2t) + A/√2 e^(-i√2t)]S(t)

= A/√2 δ(t) + A/√2 e^(i√2t) - A/√2 e^(-i√2t)S(t)

= A/√2 [δ(t) + e^(i√2t) - e^(-i√2t)]Answer: The inverse Laplace transform of F(s) = S² (S²+2) is given as

S(t) = A/√2 [δ(t) + e^(i√2t) - e^(-i√2t)].

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