The manager of the sports department at Academy was given these specifications about ordering cycles (what some call bicycles) for the sports department. -There are 350 cycles to be placed in the sports department total. > three-fifths or (.6) of the cycles will have two wheels. >There will be three times as many one-wheel cycles (unicycles) as three-wheel cycles (tricycles). Which of the following statements are true about the about the Academy sports department? Choose AlL that are correct. A. This equation can be used to solve for c, the number of one wheel cycles: 210+x+ 41
​
x=350 B. There are 40 one-wheel cycles. C. This equation can be used to solve for n, the number of three-wheel cycles: 238+3n+n=350 D. There are 28 three-wheel cycles E. There are more one-wheel cycles ordered than two-wheel cycles F. There are more two-wheel cycles ordered than three-wheel cycles

the equation of the parabola that opens down, has focus (2, -18), and a focal diameter of 32 is y = -36(x - 2)² - 9.

The parabola is defined as the set of all points that are equidistant to the focus (a fixed point) and the directrix (a fixed line).

Since the parabola opens downwards and the focus is (2, -18), the vertex of the parabola must be directly above the focus, which is (2, -18 + p), where p is the distance from the vertex to the focus.

Also, since the focal diameter is 32, we know that the distance between the two points on the parabola that intersect with the directrix is 32.

Let's first find the value of p:

-18 + p = -p

2p = 18

p = 9

So the vertex of the parabola is (2, -9).

Now we can use the formula for the equation of a parabola with a horizontal axis of symmetry and vertex (h, k):

(y - k) = -4p(x - h)²

Substituting in the values we have:

(y + 9) = -4(9)(x - 2)²

y + 9 = -36(x - 2)²

y = -36(x - 2)² - 9

Therefore, the equation of the parabola that opens down, has focus (2, -18), and a focal diameter of 32 is:

y = -36(x - 2)² - 9.

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Answer:

hi

Step-by-step explanation:

Answer: wow that’s a lot of stuff

Step-by-step explanation:

Noice profile pic

Answer:

2nd one

Step-by-step explanation:

sorry if that is incorrect it should be right though

Answer:

The set of real numbers is all numbers that can be shown on a number line. ... It also includes rational numbers, which are numbers that can be written as a ratio of two integers, and irrational numbers, which cannot be written as a the ratio of two integers.

The analysis which would be most appropriate for randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control) are-

A statistical test called an analysis of variance, or ANOVA, is used to compare the means of more than two groups.

A helpful framework for analysing how various variables affect various continuous variables is the general linear model (GLM).

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The complete question is -

Suppose you are performing an experiment where you randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control). Which analysis would be most appropriate?

 To find the x-intercept using the straight-line equation, substitute y=0 and solve for x. To find the y-intercept, substitute x=0 and solve for y.

The equation of a straight line is

y=mx+c

is the gradient and

c

is the height at which the line crosses the y-axis, also known as the y-intercept.

The gradient m is the slope of the line - the amount by which the ycoordinate increases in proportion to the x-coordinate. If you have two points (x1,y1) and (x2,y2) on the line, the gradient ism=y2−y1x2−x1

, we must first work out the gradient using the gradient formula above, and then choose either point to substitute into the straight line equation with this gradient.

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Answer:

4 days

Step-by-step explanation:

If there are 213 words in each poem, the the total number of words in all 55 poems will be 213 * 55 = 11715 words. He can also type two words per minute so using proportion,

If 2 words = 1 minute

11715 words = ?minutes

= \(\frac{11715}{2} * 1minute\)

= 5857.5 minutes

Then we convert this into hours and then into days

60 mins = 1 hr

5857.5 mins = ?

= \(\frac{5875.5}{60} * 1hr\)

= 97.625 hrs

24 hrs = 1 day

97.625 hrs = ?

= \(\frac{97.625}{24} * 1 day\)

= 4.07 days approximately 4 days

================================================

Work Shown:

x = original price of the calculator

x+6.20 = original price of calculator and binder

0.85(x+6.20) = price after discount, see note below

0.85(x+6.20) = 107.27

Solving for x.

0.85(x+6.20) = 107.27

0.85x+0.85*6.20 = 107.27

0.85x+5.27 = 107.27

0.85x = 107.27-5.27

0.85x = 102

x = 102/0.85

x = 120 dollars is the original price of the calculator

--------------

Checking the answer:

Before the discount, Justin would pay 120+6.20 = 126.20 dollars for the calculator and binder. He saves 15%, which means he saves 0.15*126.20 = 18.93 dollars and the final price would be 126.20-18.93 = 107.27 which matches up with the value in the instructions.

Or a shortcut would be 0.85*126.20 = 107.27 and that confirms the answer as well.

--------------

note: If Justin saves 15% then he pays the remaining 85% (since 15+85 = 100). So that's why there's a 0.85

Answer:

Original price of the calculator = $120

Step-by-step explanation:

Given:

If the original price of the binder was reduced by 15%, then the sale price is 85% of the original price (since 100% - 15% = 85%).

\(\begin{aligned}\implies \textsf{Sale price of the binder}& = \sf 85\% \;of\; \$6.20\\&= \sf 0.85 \times \$6.20\\&= \sf \$5.27\end{aligned}\)

If Justin spent a total of $107.27:

\(\begin{aligned}\implies \textsf{Sale price of the calculator}&= \sf Total\;spent-Sale\;price\;of\;the\;binder\\ & = \sf \$107.27 - \$5.27 \\ & = \sf \$102.00\end{aligned}\)

Remembering that the sale price of the calculator is 85% of its original price:

\(\begin{aligned}\implies \sf 85\% \; \textsf{of original price}&=\sf \$102.00\\\sf 0.85 \times original \; price &=\$102.00\\\sf Original \; price & = \sf \$102.00 \div 0.85\\\sf Original \; price &= \sf \$120.00\end{aligned}\)

Therefore, the original price of the calculator was $120.

Answer:

-6

(3*2)-12

6-12

-6

Step-by-step explanation:

Answer:

\(f(2) = -6\)

Step-by-step explanation:

\(f(x) = 3x - 12\)

\(f(2) = 3(2) - 12\)

\(f(2) = 6 - 12\)

\(f(2) = -6\)

Answer: 10, 5, and 2

Step-by-step explanation: they're all divisible numbers and could lead up to some sort of possibility of how much candy is in each barrel

Answer:

Its 12

Step-by-step explanation:

Ok done

To find the slope of the curve y = f(x) at the point (1, 1), we need to take the derivative of the equation y3 + 3xy + x2 = 5 with respect to x and evaluate it at x = 1, y = 1.

Taking the derivative, we get:
3y2(dy/dx) + 3y + 6x = 0

Plugging in x = 1 and y = 1, we get:
3(dy/dx) + 3 + 6 = 0
3(dy/dx) = -9
dy/dx = -3

Therefore, the slope of the curve y = f(x) at the point (1, 1) is -3.
To find the slope of the curve y = f(x) at the point (1, 1), we need to find the derivative of y with respect to x, which is often denoted as dy/dx or y'. Given the equation y^3 + 3xy + x^2 = 5, we'll apply implicit differentiation:

Differentiating both sides with respect to x:

3y^2(dy/dx) + 3x(dy/dx) + 3y + 2x = 0

Now, solve for dy/dx:

dy/dx(3y^2 + 3x) = -3y - 2x

dy/dx = (-3y - 2x) / (3y^2 + 3x)

At the point (1, 1):

dy/dx = (-3(1) - 2(1)) / (3(1)^2 + 3(1))

dy/dx = (-5) / (6)

dy/dx ≈ -0.83 (rounded to 2 decimal places)

So, the slope of the curve y = f(x) at the point (1, 1) is approximately -0.83.

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Answer:

t = 10.5 minutes

Step-by-step explanation:

Curves on the graph show the distance covered by two runners during the first 21 minutes of a race.

These curves intersect each other at a point which shows a common location of both the runners on the graph.

This common point is at the mid of t = 9 and 12 seconds

Therefore, time at which both the runners passes the other will be,

t = \(9+\frac{12-9}{2}\)

 = 9 + 1.5

 = 10.5 minutes

Answer:

It's either 10.5 or 11

Step-by-step explanation:

Answer:

The area of the circle is":

A = 1017.36 in²

The circumference of the circle is:

C = 113.09 in

Step-by-step explanation:

Given

r = 18 in

We need to determine the area and circumference of the circle

Using the formula to determine the area

A = πr²

   = 3.14 × (18)²

   = 3.14 × 324

   = 1017.36 in²  (Rounded to the nearest 0.01 or  the Hundredths Place)

Thus, the area of the circle is":

A = 1017.36 in²

Using the formula to determine the circumference.

C=2πr

  = 2 × 3.14  ×  18

  = 113.09 in

Thus, the circumference of the circle is:

C = 113.09 in

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

By evaluating the function in j = 1, we conclude that each bottle costs 80 cents.

We know that the total cost in dollars can be represented by the linear equation:

C(j) = 0.8*j

Where C is the cost, and j is the number of juice bottles bought.

Then to get the cost of each bottle, we can evaluate the function in 1, which means buying only one.

C(1) = 0.8*1 = 0.8

So each bottle costs $0.80 (or 80 cents).

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Answer:

I didn't understand the question well is it 1.8meter in 1h24m if so then here is my answer

Step-by-step explanation:

so basically to make things easy for me I convert hours to minutes 4h is 4×60=240minutes 1h24min= 84min right

so if I baby walks 1.8m in a 84min then in a 240min they gonna walk X meter

84min-->1.8m

240min--> X

so 240×1.8÷84=5.14

So a baby will walk 5.14m in 4H

The equation of the ellipse with the given vertices and foci is:

\((x + 4)^2 + 4(y - 3)^2 = 4\)

We have,

To write the equation of an ellipse given its vertices and foci, we need to determine the center, the major and minor axes, and the eccentricity of the ellipse.

The center of the ellipse is the midpoint between the vertices.

In this case, the center is (-4, 3), as it lies between (-4, 1) and (-4, 5).

The major axis of the ellipse is the line segment connecting the two vertices.

Since the vertices, in this case, have the same x-coordinate (-4), the major axis is vertical and has a length of 5 - 1 = 4 units.

The minor axis of the ellipse is the line segment perpendicular to the major axis and passes through the center.

Since the major axis is vertical, the minor axis is horizontal and has a length equal to the distance between the foci.

In this case, the length of the minor axis is 4 - 2 = 2 units.

The eccentricity (e) of the ellipse can be calculated using the formula:

e = distance between the center and one focus/distance between the center and one vertex

Using the given values, the distance between the center (-4, 3) and one focus (-4, 2) is 1 unit.

The distance between the center and one vertex is 3 units.

Therefore, the eccentricity is:

e = 1 / 3

Now we can write the equation of the ellipse in standard form:

For a vertical ellipse with center (h, k), major axis length 2a, and minor axis length 2b, the equation is:

\([(x - h)^2 / b^2] + [(y - k)^2 / a^2] = 1\)

Plugging in the values for our ellipse, we have:

\([(x - (-4))^2 / 1^2] + [(y - 3)^2 / 2^2] = 1\)

Simplifying, we get:

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

Therefore,

The equation of the ellipse with the given vertices and foci is:

\((x + 4)^2 + 4(y - 3)^2 = 4\)

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Answer:

22 and 23

Step-by-step explanation:

Step 1: Solve the square root

\( \sqrt{100 \times 5} \)

\( \sqrt{ {10}^{2} \times 5 } \)

We can move the 10² out because it matches the index of the root

\(10 \sqrt{5} \)

Step 2: Input into calculator to find decimals

\(10 \sqrt{5} = 22.36\)

Therefore the square root of 500 lies between 22 and 23

22 and 23

Because 5000 is between 222

(484) and 232 (529), the square root of 500 is in between 22 and 23..

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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it represents a distance between observed and predicted values

What is residual?

A residual in statistics is the discrepancy between an observed value and a value that was predicted.

Typically, the anticipated value is based on a model, like a linear regression model. The prediction error is represented by a residual, which can be either positive or negative. A positive residual indicates a difference between the observed and expected values, whereas a negative residual indicates the opposite. Specifically, the residual's absolute value is the distance between the observed value and the predicted value.

For evaluating a model's correctness, residuals are crucial. The residuals should be randomly distributed in the vicinity of zero if the model is valid. The residuals will be biased either in favor of or against the null hypothesis if the model is not accurate. A model's goodness of fit can also be evaluated using the residual. Relatively small residuals characterize a model with a high goodness of fit. Remainders that are far from zero will be present in a model with a low goodness of fit.

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There are 1,663,200 different orderings of the letters of millimicron containing the letters cr next to each other in order and the letters next to each other in order.

Total no. of letters = 11

Millimicron, dissecting will give us the following:

Number of m = 2

Number of i = 3

Number of l = 2

Number of c = 1

Number of n =1

Number of r = 1

Number of o = 1

o compute this by using permutation

total no. of ways to arrange = 11! ÷ [ 2! × 3! × 2! × 1! × 1! × 1! × 1!]

= 39,916,800 ÷ 24

= 1,663,200 is the answer

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Answer: 29.2!

Step-by-step explanation: You must subtract 15 from 44.2 which would get you to 29.2!

The quadrilateral with no pair of parallel sides is trapezium

Given data ,

A = a quadrilateral with no pair of parallel sides

This type of quadrilateral is called a trapezium. In some countries, a trapezium is defined as having exactly one pair of parallel sides, while in other countries, a trapezium is defined as having at least one pair of parallel sides.

In any case, a quadrilateral with no pair of parallel sides is not considered a trapezium. Instead, it is known as a general quadrilateral.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

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Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

Answer:

140

Step-by-step explanation: