Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1 inch represents 50 feet. What is the height in inches of Troy’s drawing?

Answer:

A Positive

Step-by-step explanation:

Two negatives cancel out and make a positive.

For example: -5  x -6 = 30

The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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The difference operation in set removes every common element between the set and give the remaining element of first set. The answer is True.

In mathematics, a set is a logically arranged group of items that can be represented in either set builder or roster form.

The set that contains the items of S that are not elements of T is the difference between the two sets, denoted by the symbol S-T.

set1={1,2,3,4,5}

set2={4,5,6,7}

Set Difference= set1-set2 = {1,2,3}

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Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)

Linear Equation                   General Form                    Example

Slope intercept form             y = mx + b                            y + 2x = 3

Point–slope form                   y – y1 = m(x – x1 )              y – 3 = 6(x – 2)

General Form                            Ax + By + C = 0               2x + 3y – 6 = 0

Intercept form                        x/a + y/b = 1                 x/2 + y/3 = 1

As a Function f(x) instead of y      f(x) = x + C                         f(x) = x + 3

The Identity Function                      f(x) = x                     f(x) = 3x

Constant Functions                      f(x) = C                       f(x) = 6

Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:

(x - 2i)² = x² - 4xi + 4i²

Note that i² = -1, so we can simplify this expression to:

(x - 2i)² = x² - 4xi - 4

Substituting this expression and the given values into the original expression, we get:

(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)

Grouping the real and imaginary terms, we get:

(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)

Simplifying the real part, we get:

-2x² - 1

Simplifying the imaginary part, we get:

-7i - 4x

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Answer:

a)5

b)17

c) ?

\(d) 3\sqrt{2}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula: \(a^{2} + b^{2} = c^{2}\)

A.)

\(a^{2} + b^{2} = c^{2}\)

\(4^{2} +3^{2} = c^{2}\)

16 + 9 = \(c^{2}\)

25 =  \(c^{2}\)

5 = c

__________________________________________________________

B.)

\(15^{2} + 8^{2} = c^{2}\)

225 + 64 = \(c^{2}\)

289 = \(c^{2}\)

17

__________________________________________________________

C.)

\(11^{2} + 14^{2} = c^{2}\)

121 + 196 = \(c^{2}\)

317 = \(c^{2}\)

17.8

__________________________________________________________

D.)

\(3^{2} + 3^{2} = c^{2}\)

9 + 9 = \(c^{2}\)

18 = \(c^{2}\)

4.2

Sry my Wi-Fi is actin up

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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Answer:

The correct answer is D. 0 + 1 = 1

Step-by-step explanation:

To determine the correct option, we must first perform the calculation raised in the question:

2/9 + 10/11 = X

0.22 + 0.9 = X

1.12 = X

Thus, rounded to the nearest whole number, this mathematical operation would be similar to option D, which raises the sum of 0 + 1. This is because 0.22 is rounded to 0, while 0.90 is rounded to 1.

Answer:

\(t_1\approx2.18\)

\(t_2\approx0.57\)

Step-by-step explanation:

\(h=7+44t-16t^2\)

\(27=7+44t-16t^2\)

\(0=-20+44t-16t^2\)

\(0=-16t^2+44t-20\)

\(t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\(t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}\)

\(t=\frac{-44\pm\sqrt{1936-1280}}{-32}\)

\(t=\frac{-44\pm\sqrt{656}}{-32}\)

\(t=\frac{-44\pm4\sqrt{41}}{-32}\)

\(t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}\)

\(t_1\approx2.18\)

\(t_2\approx0.57\)

Answer:B

Step-by-step explanation:

So an irrational number is a decimal that repeats the same number or numbers  over and over again so it would be B.

Answer:

Fertilizer recommendations for lawns are usually given in pounds of nitrogen to be applied per 1,000 square feet. Home gardeners sometimes have difficulty converting these recommendations to the amounts needed for their selected grade of nitrogen fertilizer and their lawn size. This fact sheet provides conversion tables and examples showing you how to calculate the amount of fertilizer needed for your lawn.

Step 1

To determine the pounds of fertilizer to apply, first determine the percentage of nitrogen in your fertilizer. This can be found on the fertilizer bag. Nitrogen is always the first number in the three-number series listed on the fertilizer bag.

Step 2

Now determine the number of pounds of fertilizer to apply based on the percentage of nitrogen in your fertilizer and your fertilizer recommendation. Table 1 lists the number of pounds of material needed when nitrogen content ranges from 1 to 46%.

Answer:

a) 0.0004

b) 0.9604

c) 0.02

Step-by-step explanation:

When trying to find the probability of a sequence occurring you would simply need to multiply the probability of both of those things occurring together. Since the probability of an alternator failing is 0.02 then the probability of both failing would be...

0.02 * 0.02 = 0.0004

Now the probability of an alternator not failing is 0.98 (100% or 1 minus 0.02) therefore, the probability of both failing would be...

0.98 * 0.98 = 0.9604

Finally, the probability of one or the other failing would simply be the same as the probability of a single alternator failing which is 0.02

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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Answer:

I believe its B False

Answer:

A

Step-by-step explanation:

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:you cant

Step-by-step explanation:

The equation of the ellipse is \((x - 3)^2 / 16 + (y - 3)^2 / 64 = 1.\)

To determine the equation of the ellipse, we need to find its major and minor axes, as well as the distance from each focus to the center.

Given that the foci of the ellipse are located at (3, 1) and (3, 5), we can determine that the center of the ellipse is at the midpoint between these two foci, which is (3, 3).

The endpoints of the minor axis are (7, -2) and (-1, -2), which tells us that the length of the minor axis is 7 - (-1) = 8 units.

Now, let's calculate the distance from the center to one of the foci. Using the distance formula, we have:

sqrt((3 - 3)^2 + (3 - 1)^2) = sqrt(0 + 4) = 2.

Since the foci are vertically aligned, the major axis is vertical. Therefore, the length of the major axis is twice the distance from the center to one of the foci, which gives us 2 \(\times\) 2 = 4 units.

Using the standard form of the equation for an ellipse centered at (h, k), with a horizontal major axis of length 2a and a vertical minor axis of length 2b, the equation is:

\((x - 3)^2 / 4^2 + (y - 3)^2 / 8^2 = 1.\)

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The function is continuous in the domain x ≥ 3/4

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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The result is that there exist two sets the polar coordinates again for position (-4, 0): (4, 180°) & (4,-180° ).

In plain terms, what are polar coordinates?

The given point (-4, 0) lies on the negative x-axis in the Cartesian coordinate system. To find the polar coordinates of this point,

we need to determine the distance from the origin (r) and the angle formed between the positive x-axis and the line connecting the origin and the point (-4, 0) (θ).

Since the point lies on the negative x-axis, its angle θ is either 180° or -180°. The distance from the origin to the point is 4 units, since it is the absolute value of the x-coordinate.

Therefore, the polar coordinates of the point (-4, 0) can be expressed as:

(4, 180°) or (4, -180°)

Another way to express the same point using polar coordinates is to use the angle θ that is measured from the positive y-axis (in the range of -90° to 90°).

In this case, we can use the fact that the point (-4, 0) is located symmetrically across the origin from the point (4, 0). Therefore, we can express the polar coordinates of the point (-4, 0) as:

(4, 0° + 180°) or (4, 0° - 180°)

which simplifies to:

(4, 180°) or (4, -180°)

So, the two pairs of polar coordinates for the point (-4, 0) are (4, 180°) and (4, -180°)

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The equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

To find an equation in slope-intercept form that passes through the point (1, -2) and is perpendicular to the given equation y = 5x + 4, we need to determine the slope of the perpendicular line.

The given equation y = 5x + 4 is already in slope-intercept form (y = mx + b), where m represents the slope. In this case, the slope of the given line is 5.

To find the slope of a line perpendicular to this, we use the fact that the product of the slopes of two perpendicular lines is -1. So, the slope of the perpendicular line can be found by taking the negative reciprocal of the slope of the given line.

The negative reciprocal of 5 is -1/5.

Now that we have the slope (-1/5) and a point (1, -2), we can use the point-slope form of the equation:

y - y1 = m(x - x1)

Substituting the values:

y - (-2) = (-1/5)(x - 1)

Simplifying:

y + 2 = (-1/5)(x - 1)

To convert the equation into slope-intercept form (y = mx + b), we need to simplify it further:

y + 2 = (-1/5)x + 1/5

Subtracting 2 from both sides:

y = (-1/5)x + 1/5 - 2

Combining the constants:

y = (-1/5)x - 9/5

Therefore, the equation of the line perpendicular to y = 5x + 4, passing through the point (1, -2), is y = (-1/5)x - 9/5.

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Ibraheem has 33 more stickers than Rosie

Given the ratio of number of stickers Rosie to Maltida to Ibrahim collect given as 4:7:15

Let the common ratio be "y" so that the ratio is expressed as:

Rosie:Matilda:Ibrahim=4y:7y:15y

Determine the value of y using the expression

15y-7y=24

8y=24

y=3

In order to calculate the number of sticker Ibrahim has more than Rosie;

number of stickers Ibrahim has - number of stickers Rosie has = 15(3)-12(3)  =  33  

Hence Ibraheem has 33 more stickers than Rosie

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Answer:

3 xhcni k ibohfpnconcfufuk

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)

\(\implies \sf h:168=66:42\)

\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)

\(\implies \sf h=\dfrac{66}{42} \cdot 168\)

\(\implies \sf h=\dfrac{11088}{42}\)

\(\implies \sf h=264\;inches\)

Convert the height into feet by dividing by 12:

\(\implies \sf h=\dfrac{264}{12}=22\;feet\)

Therefore, the height of the flagpole is 22 feet.

Step-by-step explanation:

1. How many terms are in the expression?

The terms are sorted by looking at the sing/indicator in front of them. For this expression there are 4 terms

13x, -2y, -5x, and 8

2. Which terms are “like terms”?

13x and -5x are like terms.

3. Are there any constants? If so, what are they?

Yes there is a constant terms and it's 8

4. What are the variables in the expression?

The variables in this expression are x, and y

5. What are the coefficients in the expression?

Coefficients is the number in front of variables in this expression the coefficients are 13, -2, and -5

Answer:

there are 4 terms

13x and - 5x are like terms

+8 is the only constant term

yes there are variables

the coefficients are ,13,-2, and-5

Step-by-step explanation:

1. A term is any section of a equation that has to do with an operation such as multipulcation or subtraction.

2. like terms are terms that share a common variable with another term.

3. Constants are number in an equation that have no variable and don't change

4. variables are letters used in an equation

5. coeffecients are the number a next to variables make sure to take the negitave or positive sign in front of it to account when solving your problem. variables with out a number in front of them always have a coefficient of 1.

lenghts are

a= 10

c= 16

b= ?

Then

b= √ (16^2 - 10^2) =

b= √ (256 - 100)= √156

b= 12.489= 12.5

ANSWER IS b= 12.5

Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

The probability of spinning yellow or blue is \(\frac{4}{5}\) or 80%.

Step-by-step explanation:

Since the circle is split evenly into 5 parts, and 4 parts are either blue or yellow, that means the probability of spinning blue or yellow is the number of blue or yellow sections divided by the total sections, which is \(\frac{4}{5}\) or 80%.

The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).

To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.

When the curve intersects the x-axis, y=0. Therefore, we have:

a⁰ = x³ - a³

x³ = a³

x = a

Next, we need to find the derivative of y with respect to x:

dy/dx = -2x/(3a²√(x³-a³))

At the point where x=a and y=0, we have:

dy/dx = -2a/(3a²√(a³-a³)) = 0

Therefore, the radius of curvature is given by:

R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)

To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:

d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))

At x=a, we have:

d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³

Therefore, the radius of curvature is:

R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)

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