An architect builds a 1/50 scale model of a proposed buildings for a client. The volume of the model is what fraction of the volume of the proposed building?

Answer:

Hello! The answer for ur question is unavailable

Answer:

yay

Step-by-step explanation:

The equation of the perpendicular line is y = -1/4x + 2

The equation is given as

y = 4x + 8

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that

In equation y = 4x + 8,

m = 4

The slope of perpendicular lines is

m1 = -1/m2

So, we have

m =-1/4

The equation of the perpendicular line is calculated as

y = m(x - x1) + y1

Where

(x1, y1) = (-8, 4)

So, we have

y = -1/4(x + 8) + 4

Expand

y = -1/4x - 2 + 4

This gives

y = -1/4x + 2

Hence, the equation of the perpendicular line is y = -1/4x + 2

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Step-by-step explanation:

Given equation of the line is y = 4x + 8. We need to find the equation of the line that is perpendicular to this line and passes through point (-8,4).For two lines to be perpendicular, their slopes must be negative reciprocals of each other.The given line has a slope of 4.

Therefore, the slope of the line perpendicular to it is -1/4.Using point-slope form, we can find the equation of the line passing through point (-8,4) with slope -1/4:y - 4 = (-1/4)(x + 8)Multiplying through by -4, we get:-4y + 16 = x + 8Simplifying and writing in slope-intercept form, we get:y = (-1/4)x + 2Therefore, the equation of the line that is perpendicular to y = 4x + 8 and passes through (-8,4) is:y = (-1/4)x + 2

Hence, the correct option is:y equals negative one-fourth times x plus 2

Answer:

any answer that has the same slope.

Step-by-step explanation:

y=5/2x is all your looking for it might have something on the end like y=5/2x-7 but the end part doesn't matter just the slope

The slope is the fraction part.

The horizontal distance required for the ramp is 143.5 inches

Consider the following figure.

In right triangle ACB, CB is the horizontal distance,

hypotenuse AB = 144 in.

and the vertical distance AC = 12 in.

We need to find the measure of side CB

Let m be the measure of the horizontal distance CB

Using Pythagoras theorem for right triangle ACB,

(AB)² = (AC)² + (CB)²

Substitute given values in above equation.

(144)² = (12)² + (m)²

20736 = 144 + m^2

20736 - 144 = 144 + m^2 - 144

20592 = m^2

m^2 = 20592

m = 143.5 in.

Therefore,  the horizontal distance is 143.5 in.

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Answer:

38*

Step-by-step explanation:

Answer:

1/3+(-2/5) and 1/3+2/5

Step-by-step explanation:

Answer:

option E is the answer

-14/2=(-7)²=+49

If multiple Option 1 and 2. If Only 1 option 1

Answer:

1.06 cups

Step-by-step explanation:

250 grams is equivalent to  1.06 cups

250 grams in cups is what?

⁠ One cup is equal to 250 grams of water.

160 grams, which is equal to 2/3 cup, or 5 2/3 oz.

- Some measuring spoons and cups have also ounce measurements for cooking.

You can use 8 4/5 oz in place of 250g to convert to ounces.

You divide the amount of grams by 28.35 to convert grams to ounces.

What is a gram ?

1/1000 kilogram is equal to one gram, which is also about equivalent to the mass of one cubic centimeter of water at its densest.

Answer:

\(\frac{2}{5} \pi\) \(km^{2}\)

Step-by-step explanation:

In this problem, we will use the following formula:

Step 1: Plug in for C and r.

Step 2: Solve.

Final answer (simplified & exact):  \(\frac{2}{5} \pi\) \(km^{2}\)

Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!

Answer:

10 columns

Step-by-step explanation:

\(\frac{60}{6}=10\) columns

The surface area of the rectangular prism is 462 square feet.

Length, L = 10 ft

Width, W = 6 ft

Height, H = 7 ft

SA= 2(LW + LH + WH)

= 2(10×7 + 10×6 + 6×7)

= 2(70+60+42)

= 2(172)

= 344 square feet

Surface area of the missing prism:

Length, L = 5 ft

Width, W = 2 ft

Height, H = 7 ft

SA= 2(LW + LH + WH)

= 2(5×2 + 5×7 + 2×7)

= 2(10 + 35 + 14)

= 2(59)

= 118 square feet

Therefore, the surface area of the figure

= 344 square feet + 118 square feet

= 462 square feet

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer: \(\dfrac{53}{16}\ \text{or}\ 3\dfrac{5}{16}\)

Step-by-step explanation:

Given

Length of board is \(16\ \frac{3}{4}\)

It is divided into 4 equal pieces i.e. length of each piece is

\(\Rightarrow \dfrac{\frac{64+3}{4}}{4}=\dfrac{67}{16}\ \text{in.}\)

If  \(\frac{7}{8}\) of an inch is removed from one of the pieces then,

\(\Rightarrow \dfrac{67}{16}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{67}{16}-\dfrac{14}{16}=\dfrac{53}{16}\ \text{inch}\)

Answer:

search up the answers

Step-by-step explanation:

Answer:

1 1/12 has part of a whole number but 3/4 doesn't have a whole number.

Step-by-step explanation:

1 1/12 is also greater than 3/4

Answer:

3/4 is the difference

Step-by-step explanation:

The least possible integer discussed is 12, where two consecutive friends made incorrect statements among a sequence of divisibility claims.

Since two friends made consecutive incorrect statements, it means the numbers they claimed were not actually divisible by the corresponding numbers.

To minimize the integer being discussed, the incorrect statements must occur for the smallest possible numbers in consecutive order.

Divisibility by 1, 2, 3, and 4 is guaranteed, but the fifth friend's statement of divisibility by 5 must be incorrect.

Therefore, the least possible integer discussed is the product of the first four numbers: 1 × 2 × 3 × 4 = 12.

Any larger number would require additional incorrect statements, violating the given condition of only two incorrect statements by consecutive friends.

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Answer:

you would not be able to withdraw $60

Step-by-step explanation:

$50 is less than $60

Answer:

$-10 (you wouldn't be able to withdraw 60, only 50 or less.)

Step-by-step explanation:

You have $50 and you withdraw $60 from your bank account, if you did that, you would've had -10 dollars in your bank account.

And you wouldn't be able to withdraw 60, only 50 or less.

(～￣▽￣)～Hope this helps!

The simplified expression of the logarithm is log3(Xy²).

The expression given to you is log3(X) + 2log(y). To simplify this expression, you need to use the properties of logarithms. One of the properties of logarithms states that the sum of the logarithms of two numbers is equal to the logarithm of their product. Another property of logarithms states that the logarithm of a number raised to a power is equal to the product of the exponent and the logarithm of the number.

Using these properties, you can rewrite the expression as follows:

log3(X) + 2log(y) = log3(X) + log(y²) (since 2log(y) = log(y²))

Now, using the property that the sum of the logarithms of two numbers is equal to the logarithm of their product, you can further simplify the expression:

log3(X) + log(y²) = log3(Xy²)

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The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

Therefore, hiking burns more calories.

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If we were able to perform totally accurate and precise measurements, what would be the standard deviation in these conditions, then the greater the precision the smaller the standard deviation, there is no relationship between standard deviation and accuracy.

If an instrument or method has good precision, 95% of values should fall within 2 standard deviations of the mean. That means that no more than 1 of the 20 results should fall outside of 2 standard deviations.

The standard deviation is a measure of the width of the underlying distribution of measurements. The narrower the distribution, the more tightly clustered the measurements will be about the mean and the more precise those measurements are.

The standard deviation measures the precision of a single typical measurement. It is common experience that the mean of a number of measurements gives a more precise estimation than a single measurement.

Therefore,

If we were able to perform totally accurate and precise measurements, what would be the standard deviation in these conditions, then the greater the precision the smaller the standard deviation, there is no relationship between standard deviation and accuracy.

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the final answer is:She bought 6 first-class tickets.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Let's denote the number of coach tickets purchased by "x" and the number of first-class tickets purchased by "y". We know that a total of 9 people took the trip, so we can write:

x + y + 1 = 9

Simplifying this equation, we get:

x + y = 8

We also know that the total cost of airfare was $7710, which can be expressed as:

210x + 1180y = 7710

This tells us that Sarah purchased 6.2 first-class tickets. Since she can't buy a fractional part of a ticket, she must have bought either 6 or 7 first-class tickets. To determine how many coach tickets she bought, we can use either equation. Let's use the first equation and substitute in y = 6:

x + 6 + 1 = 9

x = 2

So Sarah bought 2 coach tickets.

Therefore, the final answer is:She bought 6 first-class tickets.

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According to the statement the rate of change of temperature with respect to distance in the y-direction at (3, 3) is -5/27 °C/m.

The given function is: `T(x, y) = 70/(3 + \(x^{2}\) + \(y^{2}\))`Where T is in degrees Celsius and x, y are in meters.

Rate of change of temperature with respect to distance in the x-direction at (3, 3)

To find the rate of change of temperature with respect to distance in the x-direction at (3, 3), we differentiate T with respect to x using partial differentiation. i.e.,

we find the partial derivative of T with respect to `x`.Partial differentiation of T with respect to x:

We get;

dT/dx = -140x/(3 + \(x^{2}\) + \(y^{2}\))^2

We need to evaluate dT/dx at (3, 3)

i.e., x = 3 and y = 3

So, dT/dx = -140(3)/[3 + (3^2) + (3^2)]^2 = -15/81 = -5/27

Thus, the rate of change of temperature with respect to distance in the x-direction at (3, 3) is -5/27 °C/m.

Rate of change of temperature with respect to distance in the y-direction at (3, 3)

To find the rate of change of temperature with respect to distance in the y-direction at (3, 3), we differentiate T with respect to y using partial differentiation. i.e.,

we find the partial derivative of T with respect to y.

Partial differentiation of T with respect to y:

We get; dT/dy = -140y/(3 + (3 + \(x^{2}\) + \(y^{2}\))^2

We need to evaluate `dT/dy` at `(3, 3)`i.e.,

`x = 3` and `y = 3`

So, `dT/dy = -140(3)/[3 + (3^2) + (3^2)]^2 = -5/27

Thus, the rate of change of temperature with respect to distance in the y-direction at `(3, 3)` is `-5/27 °C/m`.

Hence, the required answers are:

a) `-5/27 °C/m in the x-direction.

b) `-5/27 °C/m` in the y-direction.

Note: When we differentiate `T` with respect to `x` or `y`, we assume that `y` or `x`, respectively, is constant.

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Answer:

I would say B. 39.

Step-by-step explanation:

Hope this helps:)

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

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Answer:

nope x

Step-by-step explanation:

The equation of the direct variation that passes through the point (3,9) is y = 3x.

In a direct variation, the relationship between two variables can be represented by the equation y = kx, where y and x are the variables, and k is the constant of variation.

To find the equation of the direct variation that passes through the point (3,9), we need to determine the value of k.

Substituting the coordinates of the point (3,9) into the equation y = kx:

9 = k * 3

Solving for k, we divide both sides of the equation by 3:

k = 9 / 3

k = 3

Therefore, the equation of the direct variation that passes through the point (3,9) is y = 3x. This means that for any value of x, the corresponding value of y can be found by multiplying x by 3.

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