What is 3/4% of 650?

1.87

2.21

4.125

4.875

Answer:

SOHCAHTOA.

TOA=opposite/adjacent.

Tan45=100/h.

h tan45=100.

h×1=100.

h=100m

Answer:

\(\Huge \boxed{\mathrm{100 \ meters}}\)

Step-by-step explanation:

The base of the right triangle created is 100 meters.

The angle between the base and the hypotenuse of the right triangle is 45 degrees.

We can use trigonometric functions to solve for the height of the tower.

\(\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }\)

Let the height be x.

\(\displaystyle \mathrm{tan(45)}=\frac{x}{100}\)

Multiplying both sides by 100.

\(\displaystyle 100 \cdot \mathrm{tan(45)}=x\)

\(100=x\)

The height of the tower is 100 meters.

Answer:

1/3

Step-by-step explanation:

Jane and her sister planted vegetables in 4/9 portion of the family garden.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Jane's family divided up their garden so that 2/3 of the garden will have vegetables.

Now, In that 2/3 portion, they planted 2/3 of that portion.

Therefore, The portion of the family garden will Jane and her sister plant is,

= (2/3)×(2/3).

= 4/9.

So, Jane and her sister planted 4/9 portion.

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For the Random variables, X and Y where both are nonnegative for all points in a sample space S. The expected value of Z ( random variable) is, E(Z) = E(X) + E(Y).

We have X and Y are random variables and that X and Y are non-negative for all points in a sample space S. Let us consider X be another random variable defined as Z(s) = max( X(s), Y(s))

for all elements s belongs to S. We have to show that E( Z) = E(X) + E(Y)

Now, for simple way of representation let

Max ( X(s),Y(s)) = Max(X,Y)

We know that Max(X,Y) = [(X+Y) + |X-Y|]

So, Z = Max(X,Y) = [(X+Y) + |X-Y|]

Taking expectations E(Z) = E(Max(X,Y)

= E{[(X+Y) + |X-Y|]}

\(E(Z)= \frac{1}{2} [E(X+Y) + E|X-Y|] = [E(X) + E(Y) + E|X-Y|] \\ \) (Since E(X + Y) = E(X)+ E(Y))

\(E(Z) = \frac{1}{2}[E(X)+ E(Y) + E|X| + E|-Y|]\\ \)

\(= \frac{1}{2} [E(X) + E(Y) + E(X) + E(Y)]\) (Since X and Y are non negative so E|X| = E(X) and E(-Y)=E(Y) )

=> E(Z) = E(X)+ E(Y)

Hence, required results occurred.

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Answer:

That is already simplified. You can not simplify it anymore ,therefore that is your answer.

Step-by-step explanation:

An apple cost $1.2 and the orange cost $1.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this situation, she bought 5 apples and 4 oranges for $10. This will be 5a + 4o = 10

The friend bought 5 apples and 5 oranges for $11. This will be 5a + 5o = 11

Equate the equations

5a + 4o = 10

5a + 5o = 11

Subtract

o = 1

The value of orange is $1

The value of apple will be:

5a + 4o = 10

5a + 4(1) = 10

5a + 4 = 10

Collect like terms

5a = 10 - 4

5a = 6

Divide

a = 6/5

a = 1.2

Apple cost $1.2

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Answer:

100

Step-by-step explanation:

On adding the provided equations, 4x +7y= 17 and 9x + 13y = 46 the resultant equation we will be getting is 13x + 20y = 63.

In order to perform addition of two equations together, we are needed to add the left-hand side of each equation and the right-hand side of each equation separately. This gives us:

(4x + 7y) + (9x + 13y) = 17 + 46

Combining like terms on both the sides, we will be getting ,

13x + 20y = 63

Therefore, from the above calculations this inference can be drawn that the overall equation is calculated to be  13x + 20y = 63.

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The complete question is :

4x +7y= 17

9x + 13y = 46

when these equations are added together, what will the overall equation be? assume that no equations need to be reversed.

Answer:

-4/1

Explanation:

you have 2 points so you are counting the slope of the line based of those 2 points

1st point (X1=0 Y1= -1) (0,-1)

2nd point (X2= -1 Y2= -4) (-1, -4)

using the slope formula Y2 - Y1/X2 - X1

(-4 -(-1)) / (0 -(-1)) =

-4/1

the slope is -4/1

Answer:

\(13x+4y+12\)

Step-by-step explanation:

Combine all the like terms & then solve:

\((4x+2x+7x)+(-5y+9y)+(4+6+2)\)

\(13x+4y+12\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(4x - 5y + 2x + 4 + 6 + 9y +7 x + 2\)

Combining like terms, we have

= \( \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)\)

= \( \: 13x + 4y + 12\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

.09

Step-by-step explanation:

To find the probability of independent events, you multiply their individual probability.

so, .45 x .20 = .09

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

\(y=mx+b\)

\(m\) - slope

\(b\) - y-intercept

Given

\(m=-\dfrac{8}{7}\)

and point \((7;\ -5)\)

Substitute the value of the slope and the coordinates of the point ot the equation of a line:

\(-5=-\dfrac{8}{7\!\!\!\!\diagup}\cdot7\!\!\!\!\diagup+b\)     cancel 7

\(-5=-8+b\)           add 8 to both sides

\(-5+8=-8+8+b\)

\(3=b\to b=3\)

Therefore we have the equation of the line:

\(y=-\dfrac{8}{7}x+3\)

Substitute (x, 3) to the equation:

\(3=-\dfrac{8}{7}x+3\)          subtract 3 from both sides

\(3-3=-\dfrac{8}{7}x+3-3\)

\(0=-\dfrac{8}{7}x\)           divide both sides by (-8/7)

\(0=x\to x=0\)

The curve for the relationship between balloon rides and price when the temperature is constant at 50 degrees is illustrated below.

The term constant in math is defined as  a value or number that never changes in expression it's constantly the same.

When the temperature is constant, it means that one of the variables that can affect the demand for balloon rides is eliminated. This allows us to focus on the relationship between balloon rides and price. The relationship between these two variables can be represented by a curve. The curve can show us how the price of a balloon ride changes as the number of rides changes.

Then table for the relationship between balloon rides and price when the temperature is constant at 50 degrees is attached below.

when the temperature is constant, the relationship between balloon rides and price can be shown by a curve. The shape of the curve will depend on the relationship between the two variables, which can be upward-sloping, downward-sloping, or remain constant. The constant temperature allows us to focus on the relationship between balloon rides and price without the interference of other factors that can affect the demand for rides.

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(a) To find the volume of the solid obtained by rotating the region bounded by the curves $x^2-y^2=1$ and $x=3$ about the line $x=-2$, we use the formula for the volume of revolution:$$V = \int_a^b \pi (f(x))^2dx$$where $f(x)$ is the distance from the curve to the axis of revolution.

Since the line of revolution is vertical, we need to solve for $y$ in terms of $x$ and substitute the resulting expression for $f(x)$ to get the integrand. Then we integrate from the x-value where the curves intersect to the x-value of the right endpoint of the region.To solve for $y$ in terms of $x$,$$x^2-y^2=1 \implies y = \pm\sqrt{x^2-1}$$Since the curves intersect when $x=3$, we take the positive square root,

which gives us$$y = \sqrt{x^2-1}$$We need to subtract the line of rotation $x=-2$ from $x=3$ to get the limits of integration, which are $a=-2$ and $b=3$. Therefore,$$V = \int_{-2}^3 \pi (\sqrt{x^2-1}+2)^2dx$$More than 100 words.(b) To find the volume of the solid obtained by rotating the region bounded by the curves $y=\cos x$ and $y=2-\cos x$ about the line $y=4$, we again use the formula for the volume of revolution. We need to solve for $x$ in terms of $y$ and substitute the resulting expression for $f(y)$ to get the integrand.

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Answer:

okay...... where is the question

the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.

To solve the system of linear equations using one of the three methods (elimination, substitution, or matrix inversion), let's first check the rank of matrix A and [A b].

The matrix A is a 3x2 matrix:

A = [2 3]

[-1 4]

[5 -6]

To find the rank of A, we can perform row operations to reduce the matrix to row-echelon form. The rank of A is equal to the number of non-zero rows in its row-echelon form.

Performing row operations on A, we have:

Row 2 = Row 2 + 0.5 * Row 1

Row 3 = Row 3 - 2.5 * Row 1

The row-echelon form of A is:

A = [2 3]

[0 5]

[0 -21]

Since A has two non-zero rows, the rank of A is 2.

Next, we check the rank of [A b]. The vector b is a 3x1 vector:

b = [1]

[6]

[-3]

We can append vector b as an additional column to matrix A:

[A b] = [2 3 1]

[-1 4 6]

[5 -6 -3]

Performing row operations on [A b], we have:

Row 2 = Row 2 + Row 1

Row 3 = Row 3 - 2 * Row 1

The row-echelon form of [A b] is:

[A b] = [2 3 1]

[0 7 7]

[0 -12 -5]

Since [A b] has two non-zero rows, the rank of [A b] is also 2.

Since the rank of A and [A b] are both 2, we can proceed with solving the system of linear equations using any of the three methods.

Let's use the method of matrix inversion to solve the system.

The system of equations can be written as a matrix equation:

Ax = b

To find x, we can multiply both sides of the equation by the inverse of A:

\(A^(-1) * A * x = A^(-1) * b\)

\(I * x = A^(-1) * b\)

\(x = A^(-1) * b\)

To find the inverse of A, we can use the formula:

\(A^(-1) = (1 / (ad - bc)) * [d -b][-c a]\)

Plugging in the values of matrix A, we have:

\(A^(-1) = (1 / (2 * 4 - 3 * -1)) * [4 -3][1 2]\)

Calculating the inverse of A, we have:

A^(-1) = (1 / 11) * [4 -3]

[1 2]

Multiplying A^(-1) by vector b, we have:

\(x = (1 / 11) * [4 -3] * [1][6][-3]\)

Calculating the product, we get:

x = (1 / 11) * [4 * 1 + -3 * 6]

[1 * 1 + 2 * 6]

Simplifying, we have:

x = (1 / 11) * [-14]

[13]

Therefore, the solution to the system of linear equations is:

x = -14/11

y = 13/11

Hence, the values of x and y that satisfy the system of equations are x = -14/11 and y = 13/11.

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The change in distance between the two after 15 minutes is 2.124 mi/h.

Velocity is defined as the rate of change in displacement (distance) with time. It's a vector quantity so it has both magnitude and direction. Velocity is given by the formula:

Velocity = Distance / Time

If one walks east at 3 mi/h and the other walks northeast at 2 mi/h, then after 15 minutes, their distance will be:

Distance = Velocity × Time

Distance₁ = 3 mi/h (15 mins)(1 hour/60 mins)

Distance₁ = 0.75 mile east

Distance₁ = 2 mi/h (15 mins)(1 hour/60 mins)

Distance₁ = 0.5 mile northeast

Using trigonometric function and Pythagorean theorem, we can determine the distance between the two people.

d² = (0.5 sin 45°)² + (0.5 cos 45° - 0.75)²

d² = 0.282

d = 0.531 mi

So, After 15 mins, the distance will be 0.531 mi and the change in distance in mi/h is:

(0.531 mi / 15 mins)(60 mins / hour) = 2.124 mi/h

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Answer:

A

Step-by-step explanation:

-6(4 - x) <= -4(x + 1)

-24 + 6x <= -4x - 4

-24 + 10x <= -4

10x <= 20

x <= 2

The greatest common factor for the given list of monomials is x^3y^3z^4.

To find the greatest common factor (GCF) of the given monomials, we need to identify the highest power of each variable that appears in all of them.

The variables present in the monomials are x, y, and z. Let's determine the highest power of each variable that appears in all three monomials:

x: The highest power of x that appears is x^3 in the first monomial.

y: The highest power of y that appears is y^3 in the first monomial.

z: The highest power of z that appears is z^4 in the first monomial.

Now, we can take the lowest exponent for each variable:

x^3, y^3, z^4

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Answer:

112 ft^3

Step-by-step explanation:

Volume of a rectangular prism is

V = l*w*h

V = 4*4*7

112 ft^3

So , we have to find the volume of Cuboid.

Volume of Cuboid = L × B × H

Volume of Cuboid = 4 ft. × 4 ft. × 7 ft.

Volume of Cuboid = 16 ft² × 7 ft

Volume of Cuboid = 112 ft³ .

112 ft³ rounded to the nearest tens is 110 ft³.

a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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The correct simplification would be \(18x^4 - 36x^3 + 9x^2\) (option a).

To simplify the expression \(9x^2(4x - 2x^2\) - 1), we need to perform the multiplication and combine like terms.

1. Start by distributing the 9x^2 to each term inside the parentheses:

  \(9x^2 * 4x = 36x^3 9x^2 * (-2x^2) = -18x^4 9x^2 * (-1) = -9x^2\)

2. Now we can combine the terms obtained from the distribution:

\(36x^3 - 18x^4 - 9x^2\)

3. Rearranging the terms in descending order of exponents:

\(-18x^4 + 36x^3 - 9x^2\)

4. However, we can simplify this expression further by factoring out a common factor of \(-9x^2\):

\(-9x^2(2x^2 - 4x + 1)\)

5. Thus, the final simplified expression is:

\(18x^4 - 36x^3 + 9x^2\)

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Given one point and a slope:

To graph the line plot the given point first.

Then find the second point, consider the slope by adding 1 to the x-coordinate and -5 to the y-coordinate, this gives us:

Next, plot the second point (-2, - 9).

Now connect the two pints and extend either side. This is the line you need.

Answer:

C. (2,9)

Step-by-step explanation:

9=4.5(2)

The ordered pair is a solution for the equation y= 4.5x is 2, 9.

Given that,

Based on the above information, the calculation is as follows:

y = 4.5x

Here we put the 2 in place of x

So,

= 4.5 (2)

= 9

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Step-by-step explanation:

Total rupees= 4400

Price of 6kg rice = 75 x 6 = 450

Price of 2 packets oil = 125 x 2 = 250

Amount given to wife = 3300

Total = 450 + 250 + 3300 = 4000

Remaining amount = 4400 - 4000 = 400

Share of son and daughter = 400 ÷ 2 = 200

So his son and daughter both get 200

Answer:

You need at least 101 cans of food in order to meet or surpass the goal.

Step-by-step explanation:

a.

135+89=224

224+c>=325

b.

224-224+x>=325-224

x>=101

You need at least 101 cans of food in order to meet or surpass the goal.

Answer:

-4

Step-by-step explanation:

Answer:

B

the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd

Answer:

its B

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

It is an acute angle but is larger than 40

Here, X represents the number of single-family homes with a porch, then the distribution of X can be approximated with a normal distribution, N(24,3.5). Mean (μ) is 24 Standard deviation (σ) is 3.5. And here the answer comes to be 0.1617

Using this approximation, we have to find the probability that 27 or 28 single-family homes will have a porch. Probability distribution is defined as the pattern of all possible values of random variables along with their respective probability values. To get the probability that 27 or 28 single-family homes will have a porch, we can use the formula for finding probability as follows:P(X = 27) + P(X = 28) = P(26.5 < X < 28.5)

We need to apply continuity correction because we need to convert the discrete probability distribution to a continuous probability distribution by adding and subtracting 0.5, respectively to make them continuous.Since the distribution of X can be approximated with a normal distribution, the given normal distribution can be written as follows;Normal distribution, N(24,3.5) Using the standard formula to find the z-score; Z = (X - μ)/σ, where X = 26.5, μ = 24, and standard deviation = 3.5. Substituting the given values in the above formula; Z = (26.5 - 24)/3.5 = 0.7142Z = (28.5 - 24)/3.5 = 1.2857. Using the standard normal distribution table, the probability for z-scores 0.71 and 1.28 is 0.2389 and 0.4006, respectively. Therefore, the required probability that 27 or 28 single-family homes will have a porch is:P(X = 27) + P(X = 28) = P(26.5 < X < 28.5) = P(0.7142 < Z < 1.2857)≈ 0.4006 - 0.2389 = 0.1617

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Answer:

30-39 as where

Step-by-step explanation:

Example: find the Median of 12, 3 and 5

Put them in order:

3, 5, 12

The middle is 5, so the median is 5.