In the figure, sin ZMQP =__

Answers

Answer 1

The question is incomplete and the figure is missing. Here is the complete question with the figure attached below.

In the figure, sin ∠MQP = ______.

A. Cos N and Sin R

B. Sin R and Sin N

C. Cos N and Sin M

D. Cos R and Sin N

Answer:

D. Cos R and Sin N

Step-by-step explanation:

Given:

∠MQP = 56°

sin (∠MQP) = sin (56°)

Consider the triangle NMR,

m ∠N = 56°, m ∠R = 34°

sin (∠N) = sin (56°)

So, sin (∠MQP) = sin (∠N) = sin (56°) ---------- (1)

Now, we know that, [tex]\sin x=\cos(90-x)[/tex]

Therefore, sin (∠N) = sin (56°) = cos (90°-56°) = cos (34°)

Now, from the same triangle NMR,

[tex]\cos (\angle R)=\cos (34\°)[/tex]

Therefore, sin (∠N) = cos (∠R)  ------------- (2)

Hence, from equations (1) and (2), we have

sin (∠MQP) = sin (∠N) = cos (∠R)

So, option D is correct.

In The Figure, Sin ZMQP =__

Related Questions

What is the slope of the line perpendicular to the line y = -3/4x + 1?
A) -4/3
B) -3/4
C) 3/4
D) 4/3

Answers

Answer:

the answer is D.) 4/3

Step-by-step explanation:

when you look for a slope that is perpendicular to the slope you are given you take the reciprocal and change the sign

Answer:

4/3

Step-by-step explanation:

Because perpendicular means negative reciprocal.

find the linear regression equation for the transformed data?
(1, 13) 1.114
(2, 55) 1.740
(3, 349) 2.543
(4, 2407) 3.381
(5, 16, 813) 4.226

Answers

Answer:

y = 0.7865x + 0.2413  

Step-by-step explanation:

[tex]\begin{array}{rrc}\mathbf{x} & \mathbf{y} & \mathbf{\log(y)}\\1 & 13 & 1.114\\2 & 55 & 1.740\\3 & 349 & 2.543\\4 &2407 & 3.381\\5 &16813 & 4.226\\\end{array}[/tex]

I plotted both your original and transformed data in Excel and asked it to display the regression equation for the transformed data.

Your original data are the blue line plotted against the left-hand axis.

Your transformed data are the red line, plotted against the right-hand axis.

The linear regression equation is

y = 0.7865x + 0.2413

The answer is y = 0.7865x + 0.2413  

The Linear regression equation for the transformed data:

We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.

Find the linear regression equation for the transformed data?

(1, 13) 1.114

(2, 55) 1.740

(3, 349) 2.543

(4, 2407) 3.381

(5, 16, 813) 4.226

X            Y           Log(y)

1              13           1.114

2             55         1.740

3             349       2.543

4             2407     3.381

5             16813    4.226

The linear regression equation is y = 0.7865x + 0.2413  

The graph is plotted below:

Original data are the blue line plotted against the left-hand axis and transformed data are the red line, plotted against the right-hand axis.

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What is the constant of proportionality in the equation y=3xy=3xy, equals, 3, x?

Answers

Answer:

k=3

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In this problem we have

[tex]y=3x[/tex]

therefore

The constant of proportionality  is k=3

Answer:

k=3

Step-by-step explanation:

i went on knan and it worked

Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven.
The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven.
For what amount of driving do the two plans cost the

Answers

Final answer:

To compare the two plans and find the amount of driving for which they cost the same, we can set up an equation and solve for x. The two plans cost the same for 450 miles of driving.

Explanation:

To compare the two plans and find the amount of driving for which they cost the same, we need to set up an equation. Let's assume the amount of driving is represented by the variable x. The total cost for Plan 1 can be calculated as:

Total cost = $46 + $0.13x

The total cost for Plan 2 can be calculated as:

Total cost = $55 + $0.11x

We can set the two equations equal to each other and solve for x:

$46 + $0.13x = $55 + $0.11x

$0.02x = $9

x = $9 / $0.02 = 450

Therefore, the two plans cost the same for 450 miles of driving.

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)? The graph of y = f(x) will shift up 6 units. The graph of y = f(x) will shift down 6 units. The graph of y = f(x) will shift left 6 units. The graph of y = f(x) will shift right 6 units.

Answers

Answer:

The graph of y = f(x) will shift left 6 units, as shown in figure a.

Step-by-step explanation:

A translation means we are able to move the graph of a function up or down - normally called Vertical Translation -  and right or left - commonly called Horizontal Translation.

If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the  x, so it is f(x + 6).

For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.

So, the graph of y = f(x) will shift left 6 units.

Keywords: graph shift, translation

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The graph of y = f(x) will shift left 6 units. The correct option is the third one.

Which is the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)?

For any function y = f(x), we define an horizontal translation of N units as:

y = f(x + N)

Where if:

N > 0, the translation is to the left.

N < 0, the translation is to the right.

Here we have:

y = f(x + 6)

So this is a translation of 6 units to the left.

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Write an equation in point slope form for the line through the given point and the given slopes

(10,-9); m=-2


Answers

Please see the attachment below.

All the information is in the problem you just have to format it into an equation.

Point slope form: [tex]y_{2}- y_{1}=m(x_{2}- x_{1})[/tex] where "m" is the slope.

The equation would look like...

y+9=-2(x-10)

How many days is 45% of 31 days

Answers

Answer:

45% of 31 days is 13.95 days, theres your answer.

What is 28/185 in simplest form
What is 28/185 in simplest form

Answers

Answer:

0.1513...

Step-by-step explanation:

Use the key features of the polynomial f(x) = -9x3 + 8x2 - 16x + 3 to describe its end behavior.

The left side continues up, and the right side continues up.

The left side continues down, and the right side continues down.

The left side continues up, and the right side continues down.

The left side continues down, and the right side continues up

Answers

Answer:

The left side continues up, and the right side continues down.

Step-by-step explanation:

[tex]f(x) = -9x^3 + 8x^2 - 16x + 3[/tex]

To find the end behavior, determine the highest degree and leading coefficient

Highest degree is 3  and leading coefficient is -9

highest degree 3 is odd and leading coefficient is negative

As x->-infinity , y -> infinity

As x->infinity , y ->-infinity

The left side continues up, and the right side continues down.

Answer:

Correct answer is C.

Step-by-step explanation:

What is 19,000 using exponents

Answers

Answer:

I think its 19,000/1

Step-by-step explanation:

I don't think there is any explanation :)

how many times dose 10 go into 450

Answers

Answer:

10 go into 450 45 times

Step-by-step explanation:

What is g + 11 >_ -1

Answers

Answer:

g>=-12

Step-by-step explanation:

g+11>=-1

g>=-1-11

g>=-12

Someone please help!

Answers

If r and p are perpendicular:

1 + 2 = 90°

3 = 90°

4 + 5 = 90°

6 = 90°

If any one of these are true, r and p must be perpendicular

Answer:

Yes

Step-by-step explanation:

First you will have to find out the scale

Then you will find out the numbers that are

Perpendicular

an = 12 – 5(n − 1)
What is the 30th term of the sequence?

Answers

Answer:

- 133

Step-by-step explanation:

To find the 30 th term substitute n = 30 into the formula, that is

[tex]a_{30}[/tex] = 12 - 5(30 - 1) = 12 - (5 × 29) = 12 - 145 = - 133

Final answer:

The 30th term of the sequence defined by an = 12 – 5(n – 1) is – 133.

Explanation:

To calculate the 30th term of the sequence given by an = 12 – 5(n – 1), we start by substituting the value of n with 30.

[tex]a_{30}[/tex] = 12 – 5(30 – 1)

[tex]a_{30}[/tex] = 12 – 5(29)

[tex]a_{30}[/tex]   = 12 – 145

[tex]a_{30}[/tex] = – 133

The 30th term of the sequence is – 133.

1. 4/5 - (-3/10)=

2. 5.5 - 8.1=

3. -5 - 5/3=

4. -8 3/8 - 10 1/6=

5. -4.62 - 3.51=

Answers

Answer:

Step-by-step explanation:

4/5-(-3/10)=4/5+3/10=8/10+3/10=11/10

5.5-8.1=-2.6

-5-5/3=-15/3-5/3=-20/3

-8 3/8-10 1/6=-67/8-61/6=-445/24

-4.62-3.51=-8.13

Answers:
1.) 1.1
2.) -2.6
3.) ≈ -6.67
4.) ≈ -18.54
5.) -8.13

what is the quotient of the pic​

Answers

Answer:

256

Step-by-step explanation:

Answer:

Step-by-step explanation:he rate of return on Karen investment is 10%. Explanation: Given that. Bought price = P = $78500. Sale price = S =$850,000.

What is the length of jy?

A. 4.5
B. 18
C. 6
D. 3

Answers

Answer:

D.3

Step-by-step explanation: The full line is equivelent to 3 if you look

Willie sold 2 rolls of plain and 2 rolls of shiny for a total of $80. Arjun sold 8 rolls of plain and 10 rolls of shiny for a total of $360. What is the cost of each kind

Answers

One roll of plain costs $20 and one roll of shiny costs $20 also.

Step-by-step explanation:

Let,

Cost of one roll of plain = x

Cost of one roll of shiny = y

According to given statement;

2x+2y=80     Eqn 1

8x+10y=360    Eqn 2

Multiplying Eqn 1 by 4

[tex]4(2x+2y=80)\\8x+8y=320\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](8x+10y)-(8x+8y)=360-320\\8x+10y-8x-8y=40\\2y=40[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{40}{2}\\y=20[/tex]

Putting y=20 in Eqn 1

[tex]2x+2(20)=80\\2x+40=80\\2x=80-40\\2x=40[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{40}{2}\\x=20[/tex]

One roll of plain costs $20 and one roll of shiny costs $20 also.

Keywords: linear equation, elimination method

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Assume you drink eight sodas per week & they cost $1.59
each. How much money can you accumulate over the course of
a year if you opt to save the money instead?

Answers

8 sodas X $1.59 =$12.72 per week

$12.72 per week X 4 weeks per month =$50.88

$50.88 X 12 months per year = $610.56 per year

The money can you accumulate over the course of a year if you opt to save the money instead will be $82.68.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Assume you drink eight sodas per week & they cost $1.59 each.

We know that there are 52 weeks in a year.

The money can you accumulate over the course of a year if you opt to save the money instead will be

⇒ $1.59 × 52

⇒ $82.68

The money can you accumulate over the course of a year if you opt to save the money instead will be $82.68.

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Ryan has $40 in the bank. He writes
a check for $64.75 and then uses his
check card to buy gas for $40. What is
his new balance?

Show work and explain clearly

Answers

You do 40-64.75
40-64.75= -24.75

You do -24.75-40
-24.75-40= -64.75



He owes $64.75

4. What is the equation of the midline of the sinusoidal function?

Answers

The midline equation for the sinusoidal function is y = 4 sin(ωx + ∅) - 3, derived by calculating the amplitude and vertical shift within the general function equation.

A function is a mathematical expression, rule, or law that defines the relationship between one variable and another. In mathematics, functions play a crucial role in representing physical relationships and various mathematical concepts. One specific type of function is the sinusoidal function, characterized by its repetitive pattern within a specific time interval.

The general form of a sinusoidal function is given by the equation:

y = A sin(ωx + ∅) + c

Here, A represents the amplitude, ω is the argument, ∅ is the phase difference, and c is the vertical shift known as the midline.

To find the equation of the midline, we use the formula:

A = (Maximum value - Minimum value) / 2

Given that the maximum value is 1 and the minimum value is -7, the amplitude (A) is calculated as:

A = (1 - (-7)) / 2 = 4

The vertical shift (c) is determined to be -3. Substituting these values into the general equation, we obtain the equation of the midline for the sinusoidal function:

y = 4 sin(ωx + ∅) - 3

In summary, the equation of the midline for the sinusoidal function is y = 4 sin(ωx + ∅) - 3.

The amplitude and vertical shift inside the general function equation are used to obtain the midline equation for the sinusoidal function, which is y = 4 sin(ωx + ∅) - 3.

A mathematical phrase, rule, or law that establishes the connection between two variables is called a function.

Functions are essential to the representation of both mathematical concepts and physical relationships in mathematics.

The sinusoidal function is one particular kind of function that is distinguished by its repeating pattern inside a predetermined time frame.

The following formula provides the generic form of a sinusoidal function:

sin(ωx + ∅) + c = A

In this case, amplitude is denoted by A, argument by ω, phase difference by ∅, and vertical shift, or midline, by c.

We utilise the to determine the midline's equation.

A is equal to (Maximum - Minimum) / 2.

A = (1 - (-7)) / 2 = 4 is the formula for calculating the amplitude (A), given that the maximum value is 1 and the minimum value is -7.

It is found that the vertical shift (c) is -3. The equation of the midline for the sinusoidal function is obtained by substituting these values into the general equation: y = 4 sin(ωx + ∅) - 3

In conclusion, y = 4 sin(ωx + ∅) - 3 is the equation of the midline for the sinusoidal function.

Luke sells you cars for $12 each. His expenses are $3.50 per car, plus $34 for tools. How many cars must he sell for his revenue to equal his expenses?

Answers

Answer:

Step-by-step explanation:

x = number of cars

12x = 3.50x + 34

12x - 3.50x = 34

8.5x = 34

x = 34/8.5

x = 4 <=====he would have to sell 4 cars

In this case, Luke must sell [tex]\(\boxed{4}\)[/tex] cars for his revenue to equal his expenses.

To determine how many cars Luke must sell for his revenue to equal his expenses, let's define the variables and set up the equation.

Let x be the number of cars Luke sells.

Revenue:

Luke sells each car for $12, so his revenue for selling x cars is:

[tex]\[ \text{Revenue} = 12x \][/tex]

Expenses:

Luke's expenses include $3.50 per car and a fixed cost of $34 for tools. So his total expenses for x cars are:

[tex]\[ \text{Expenses} = 3.50x + 34 \][/tex]

We need to find the number of cars x such that his revenue equals his expenses:

12x = 3.50x + 34

To solve for x  subtract 3.50x  from both sides:

12x - 3.50x = 34

8.50x = 34

Now, divide both sides by 8.50:

[tex]\[ \text{Expenses} = 3.50x + 34 \][/tex]

x = 4

Therefore, Luke must sell [tex]\(\boxed{4}\)[/tex] cars for his revenue to equal his expenses.

Let p = 5. Enter > , < , or = to compare the expressions. 4p4 2p−3

Answers

Answer:

The given expression at p = 5 can be written as:

[tex]4(p^4)  > 2p -3[/tex]

Step-by-step explanation:

Here, the given expressions are:

[tex](4p^4 ), (2p-3)[/tex]

Now, substitute the value of p = 5 in both the given expressions, we get:

[tex]4(p^4)  = 4(5^4)  = 4 (625)   =  2,500\\\implies 4(p^4) = 2,500[/tex]

Similarly,

[tex](2p-3)  = 2(5) - 3 = 10 -3 = 7\\\implies 2p - 3  = 7[/tex]

So,now comparing  both the values at p = 5, we get:

2,500 > 7

[tex]\implies 4(p^4)  > 2p -3[/tex]

Hence, the given expression at p = 5 can be written as:

[tex]4(p^4)  > 2p -3[/tex]

Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.

Which equation represents the amount of minutes ( m) that it will take to fill the pool?

Answers

The equation which represents the amount of minutes.m that it will take to fill the pool is 200 = 60 + 10m

Which equation represents the amount of minutes ( m) that it will take to fill the pool?

Let

m = amount of minutes that it will take to fill the pool

Gallons of water in the pool = 60 gallons

Capacity of the pool = 200 gallons

Additional gallons added per minutes = 50 gallons / 5

= 10 gallons per minutes

The equation:

200 = 60 + 10m

200 - 60 = 10m

140 = 10m

Divide both sides by 10

m = 140/10

m = 14 minutes

Therefore, it takes Anita 14 minutes to fill the pool.

Suppose that y varies inversely with x, and y=2 when x=10.

(A) write an inverse variation equation that relates x and y

(b) find y when x= 4

Answers

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

(A)

To find k use the given condition y = 2 when x = 10

k = yx = 2 × 10 = 20, thus

y = [tex]\frac{20}{x}[/tex] ← equation of variation

(B)

When x = 4, then

y = [tex]\frac{20}{4}[/tex] = 5

the circumference of a circle is 18.41 feet. WHat is the approximate length of the radius.

Answers

Answer:

The answer can be calculated by doing the following steps;

Step-by-step explanation:

Answer:

The approximate length of the radius is 3 feet

Step-by-step explanation:

Given:

circumference of a circle = 18.41 feet

To Find:

approximate length of the radius = ?

Solution:

Let the radius of the circle be r

We know that the circumference of the circle C is given by the formula

C =[tex]2 \pi R[/tex]

Substituting the values, we get

18.41 =[tex]2\times \pi \times R[/tex]

Rearraning the above equation we get

R=[tex]\frac{14.41}{ 2\times \pi}[/tex]

R=[tex]\frac{18.41}{6.28}[/tex]

R= 2.93

R= 3 (approx)

solve -2-2(-7+b)=-8b+24​

Answers

Answer:

b = 2

Step-by-step explanation:

[tex]-2-2(-7+b)=-8b+24\qquad\text{use the distributive property}\\\\-2+(-2)(-7)+(-2)(b)=-8b+24\\\\-2+14-2b=-8b+24\qquad\text{combine like terms}\\\\(-2+14)-2b=-8b+24\\\\12-2b=-8b+24\qquad\text{subtract 12 from both sides}\\\\12-12-2b=-8b+24-12\\\\-2b=-8b+12\qquad\text{add}\ 8b\ \text{to both sides}\\\\-2b+8b=-8b+8b+12\\\\6b=12\qquad\text{divide both sides by 6}\\\\\dfrac{6b}{6}=\dfrac{12}{6}\\\\b=2[/tex]

the slope of y+4=3/5(x-7

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

slope = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 4 = [tex]\frac{3}{5}[/tex](x - 7) ← is in point- slope form

with slope m = [tex]\frac{3}{5}[/tex]

The price of a train ticket consists of an initial fee plus a constant fee per stop.
The table compares the number of stops and the price of a ticket (in dollars).
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
What is the initial fee?

Answers

Final answer:

The initial fee of a train ticket, given a constant fee per stop, can be calculated by finding the constant fee per stop and subtracting the total of this fee for a given number of stops from the total price for those stops. By this calculation, the initial fee is $2.50.

Explanation:

To determine the initial fee that is related to the price of a train ticket, which consists of an initial fee plus a constant fee per stop, we should first calculate the cost per stop. We can do this by subtracting the price of a ticket for 3 stops from the price of a ticket for 7 stops. So, we get $12.50 - $6.50 = $6.00. We find the difference in the number of stops, which is 7 - 3 = 4 stops. Divide the total price difference by the difference in the number of stops to get the constant fee per each stop: $6.00 / 4 stops = $1.50 per stop. Now we know the constant fee for each stop, so we subtract that from the total price for 3 stops to find the initial fee: $6.50 - ($1.50 * 3) = $2.50. So, the initial fee is $2.50.

To find the initial fee, we need to determine the additional cost per stop. We can do this by using the formula y = mx + b, where y represents the price of the ticket, x represents the number of stops, m represents the constant fee per stop, and b represents the initial fee.

Using the given data, we can set up two equations using the points (3, 6.50) and (7, 12.50).

By subtracting these two equations, we can determine the value of b, which represents the initial fee. Thus, the initial fee is $3.

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1) For the data in the table, does y vary directly with x? If it does, write an equation for the direct
variation.​

Answers

Answer:

Yes, y varies directly with x.

[tex]y=\frac{11}{8} x[/tex]

Step-by-step explanation:

[tex]\frac{y}{x}=\frac{11}{8} =\frac{22}{16} =\frac{33}{24}[/tex]

Hence [tex]y[/tex] varies directly with [tex]x[/tex].

[tex]\frac{y}{x}=\frac{11}{8} \\\\ y=\frac{11}{8} x[/tex]

Other Questions
Western Electronics (WE) is reviewing the following data relating to a new equipment proposal: Net initial investment outlay $ 50,000 After-tax cash inflow from disposal of the asset after 5 years $ 10,000 Present value of an annuity of $1 at 12% for 5 years 3.605 Present value of $1 at 12% in 5 years 0.567 WE expects the net after-tax savings in cash outflows from the investment to be equal in each of the 5 years. What is the minimum amount of after-tax annual savings (including depreciation effects) needed to make the investment yield a 12% return (rounded to the nearest whole dollar)? Yuan receives money from his relatives every year on his birthday. This year, Yuan received a total of $56. That is 12% more than he received last year. How much did Yuan received last year? did chinese know how to shape metals A typing instructor builds a regression model to investigate what factors determine typing speed for students with two months of instruction. Her regression equation looks like: Y' = 7x3 + 5x2 + 3x + 11 where: Y' = typing speed in words per minute; x3= hours of instruction per week; x2= hours of practice per week; x = hours of typing per week necessary for school or work; A new student is taking 2 hrs of typing instruction per week, will practice 5 hrs per week and must type 2.5 hours per week for work. If the standard error of the estimate is 4, within what range do we have a 95.45% probability that that student's typing speed will be in two months?A. 53.5 and 61.5 words per minuteB. 49.5 and 65.5 words per minuteC. 57.5 and 65.5 words per minuteD. none of the above The Clayton antitrust act differed from the 1890 law in that ____ Six cars pull up to a red light, one at a time. At the light, there are three lanes, one left-turn lane, one straight-going lane, and one right-turn lane. How many ways can the cars stack up so that all three lanes are occupied? Note that if the first car turns left and the second goes straight, this is considered different from the first car going straight and the second car turning left. In other words, the cars are distinguishable, but pull up to the intersection in a fixed order. List and explain three reasons why people have to use art to bring awareness and or reognition A research firm wants to determine whether theres a difference in married couples between what the husband earns and what the wife earns. The firm takesa random sample of married couples and measures the annual salary of each husband and wife. What procedure should the firm use to analyze the data for the mean difference in salary within married couples?a)One-sample t procedure, matched pairb)Two-sample t procedurec)One-sample z procedure, matched paird)Two-sample z proceduree)Not enough information to determine which procedure should be used. __________ theorists believe that tracking seriously affects many students educational performances and their overall academic accomplishments. In elementary schools, tracking is often referred to as ability grouping and is based on the assumption that it is easier to teach a group of students who have similar abilities. Many of the Framers of the U.S. Constitution expected the President would be elected by: An infant smacking its lips to indicate that it wants food or drink is an example of__________. 4. Find the slope of the line between the points (9,-12) and (5,4) A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.What fraction of older Americans who were included in the study suffered broken bones during the three-year period?a.26/202b.37/389c.26/389d.11/187e.11/389 Given: JP = KP; PX = PYProve: APYJ - APXKWhich best describes the missing reasons? why do elements undergo chemical reactions? Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used.Simplify the given polynomial expressions, and determine the degree and number of terms in each expression.DegreeDegreeNumber ofTerms4x + 2.2(3x - 5)(-304 +503 - 12) + (7x3 - 25 + 6)(3x2 3)(3x2 + 3) Which of "the following employee groups is MOST likely to "be excluded by the NLRB from participating in organizing activities and being a member of the bargaining unit? A) Employees in multiple facilities within a single employer. B) Employees covered by multiple employers. C) Employees with certain supervisory duties. D) Employees who have been on strike for economic reasons for less than one year and who have been replaced by other employees. Look at this painting by Giotto. In what way did paintings like this moveEuropean art forward?A. By showing humans and angels on the same canvasB. By separating Christ from the MadonnaC. By using both linear and aerial perspectivesD. By treating a religious subject in a natural way 1) Which equations represent functions that are non-linear? Select each correct answer. a) Y = X b) 2Y= 4x+6 c ) Y = 8 + x d) Y - 6 = x^2 e) Y= - 3x+l/5 f) Y=2x^2+5-3x^2 Identify the FALSE statement. a. Saltier water generally floats above fresher water. b. Warmer water can hold more salt in solution than cold water. c. Oceans are less salty near the mouths of large rivers. d. If all ocean water evaporated, a 60-m-thick layer of salt would form on the ocean floor. Steam Workshop Downloader