Sarah was 50 1/4 in tall and she was 12 years old she was 4 and 1/2 inches tall when she was 11 years old how much did she grow during the year​

Answers

Answer 1
The answer is 45 3/4 inches
Sarah Was 50 1/4 In Tall And She Was 12 Years Old She Was 4 And 1/2 Inches Tall When She Was 11 Years

Related Questions

Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself? A. any of the perpendicular bisectors of the sides of the hexagon B. either diagonal of the square C. any of the perpendicular bisectors of the sides of the square D. there are no lines across which this figure can reflect onto itself

Answers

Answer:

(C) Any of the perpendicular bisectors of the sides of the square

Step-by-step explanation:

In Regular Hexagon FGHIJK, we have 6 line of reflection across which the hexagon reflects onto itself. Those lines are:

3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH

3 lines passing through vertices i.e. HK, IF and GJ.

While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:

2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD

2 digonals of square i.e. AC and BD

Also from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.

So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.

Answer:

Answer C

Step-by-step explanation:

Edmentum

Hook me up with a 5 star and a Thanks

When price increases, quantity supplied:
stays the same
decreases
increases
becomes zero

Answers

It should increase but I’m between stays the same or increase, I’m not sure in a 100% sorry...

Simplify (Y^2+7y+6)/(6y^2-6)

Answers

Answer:

[tex]\frac{y + 6}{6(y - 1)} [/tex]

Step-by-step explanation:

The given expression is

[tex] \frac{ {y}^{2} + 7y + 6}{6 {y}^{2} - 6} [/tex]

The numerator is a quadratic trinomial and the denominator is different of two squares when 6 is factored.

We factor both the numerator and the denominator to obtain;

[tex] \frac{ (y + 6)(y + 1) }{6(y - 1)(y + 1)} [/tex]

Cancel out the common factors to get:

[tex] \frac{y + 6}{6(y - 1)} [/tex]

This is the simplest form since, we cannot simplify this further.

For this case we must simplify the following expression:

[tex]\frac {y ^ 2 + 7y + 6} {6y ^ 2-6}[/tex]

We factor the numerator, looking for two numbers that when multiplied by 6 and when added together give 7. These numbers are +6 and +1.

Then, rewriting the expression:

[tex]\frac {(y + 6) (y + 1)} {6 (y ^ 2-1)} =[/tex]

We rewrite the denominator:

[tex]\frac {(y + 6) (y + 1)} {6 (y + 1) (y-1)} =[/tex]

We simplify similar terms:

[tex]\frac {(y + 6)} {6 (y-1)}[/tex]

Answer:

[tex]\frac {(y + 6)} {6 (y-1)}[/tex]

1,547.489 which digit is in the ten place​

Answers

1,547.489

4 - Bold and underline one above is in the ten place.

Answer:

1,547.489

Step-by-step explanation:

Note that there is a decimal point in between 7 & 4, and the numbers to the left are whole numbers, while the numbers to the right is part of the decimal.

From the decimal point, count to the left two place value (to find the tens place):

1,547

1,547

4 is your digit in the ten's place, & is your answer.

~

If 47400 dollars is invested at an interest rate of 7 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.

(a) Annual: $ _____.
(b) Semiannual: $ _____.
(c) Monthly: $ _____.
(d) Daily: $______.

Answers

Answer:

Part A) Annual [tex]\$66,480.95[/tex]  

Part B) Semiannual [tex]\$66,862.38[/tex]  

Part C) Monthly [tex]\$67,195.44[/tex]  

Part D) Daily [tex]\$67,261.54[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

Part A)

Annual

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=1[/tex]  

substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{1})^{1*5}\\A=47,400(1.07)^{5}\\A=\$66,480.95[/tex]

Part B)

Semiannual

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=2[/tex]

 substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{2})^{2*5}\\A=47,400(1.035)^{10}\\A=\$66,862.38[/tex]

Part C)

Monthly

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=12[/tex] 

substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{12})^{12*5} \\A=47,400(1.0058)^{60}\\A=\$67,195.44[/tex]

Part D)

Daily

in this problem we have  

[tex]t=5\ years\\ P=\$47,400\\ r=0.07\\n=365[/tex] 

substitute in the formula above  

[tex]A=47,400(1+\frac{0.07}{365})^{365*5}\\A=47,400(1.0002)^{1,825}\\A=\$67,261.54[/tex]

A wall is 15 ft. high and 10 ft. from a house.
Find the length of the shortest ladder which
will just touch the top of the wall and reach a
window 20.35 ft. above the ground.

Answers

Answer:

=11.35 ft.

Step-by-step explanation:

The ladder, the flat surface the wall and the height up to the window form a trapezium.

The triangle that constitutes of the trapezium has the ladder as the hypotenuse, the distance between the two walls as base and the perpendicular distance from the base of the ladder to the window as height.

The height=20.35 ft-15 ft= 5.35 ft

Distance between the walls=10 ft

Hypotenuse²= base²+height²

H²=b²+h²

=10²+5.35²

=128.6225

H=√128.6225

=11.35 ft.

Answer:

11.41 ft

Step-by-step explanation:

Same steps as the other guy but, I have the correct answer(especially for Acellus)

If f(x)=-2x-3 find f(4)

Answers

Answer:

f(4) = -11

Step-by-step explanation:

Plug in 4 for x: Note that x = 4.

f(x) = -2x - 3

f(4) = -2(4) - 3

Remember to follow PEMDAS. First, solve the multiplication, then subtract:

f(4) = (-2 * 4) - 3

f(4) = (-8) - 3

f(4) = -11

f(4) = -11 is your answer.

~

QP contains the points Q(-6,10) and P(-12,-2). Find the slope of a line perpendicular to QP

Answers

Answer: -2

Step-by-step explanation: Find the slope of between the two points. P is the bottom point and Q is the top point. Both x and y numbers increase, meaning that the slope is positive. The x numbers increase by 6, and the y numbers increase by 12. This means that the rise is 12, and the run is 6. The slope is 12/6 but can be simplified to 2/1. The perpendicular slope is -1/2 because the perpendicular slope of a line is opposite reciprocal. This means to make the number negative and to flip it.

Answer:

-1/2

Step-by-step explanation:

So we are asked to find the slope of a line perpendicular to the line going through Q(-6,10) and P(-12,-2).

To do this we first need to find the slope of the line going through Q(-6,10) and P(-12,-2).

We can use the slope formula for a line given two points on that line which is (y2-y1)/(x2-x1).

I like to do something I consider easier to remember and is the same thing

It is:

A) line up the points

B) subtract vertically

C) put 2nd difference over first difference

D) done unless it needs reducing

So that is exactly what I'm going to do here:

(-6, 10)

-(-12,-2)

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

6 12

So the slope is 12/6 or 2.

Now you might prefer to write 2 as a fraction now, because I'm about to tell you to find the slope of a line that is perpendicular, you just need to take the opposite reciprocal.

Opposite means to change the sign. I'm referring to negative or positive sign.

Reciprocal means to flip the number.

Let's put 2 through that process.

Opposite of 2: -2

Reciprocal of the opposite: -1/2

I got that reciprocal there by realizing -2 is just -2/1.

Anyways the slope of a line that is perpendicular to the one that goes through P and Q is -1/2 or -0.5.

A small bat weighs about 2/5 of an ounce. A small hummingbird weighs about 14/25 of an ounce. Explain how to find the difference in the weights of these animals

Answers

Answer:

The difference is about [tex]\frac{4}{25}[/tex] of an ounce

Step-by-step explanation:

we know that

A small bat weighs about 2/5 of an ounce

A small hummingbird weighs about 14/25 of an ounce

step 1

Multiply 2/5 by 5/5

Remember that

5/5 is 1

so

[tex](\frac{2}{5})(\frac{5}{5})=\frac{10}{25}[/tex]

step 2

To find the difference in the weights of these animals, subtract the weight of the small bat from the weight of the small hummingbird

[tex](\frac{14}{25})-(\frac{10}{25})[/tex]

Remember that

When subtract fractions with the same denominators, subtract the top numbers and put the answer over the same denominator

so

[tex](\frac{14}{25})-(\frac{10}{25})=\frac{4}{25}[/tex]

therefore

The difference is about [tex]\frac{4}{25}[/tex] of an ounce

how do you calculate the median and mean of X based on the table?​

Answers

Answer:

The mean is all the #s added up and divided by 5, and median is the number in the middle which is 0.18

Step-by-step explanation:

PLZ vote me for BRAINILEST

Janice ran mile. She walked mile. How far did she run and walk?​

Answers

Answer:

two miles

Step-by-step explanation:

Answer:

if she ran one mile....and walked one mike.....that makes...2 miles altogether

Step-by-step explanation:

1 +1=2

On a piece of paper, graph y+2>-3x - 3. Then determine which answer
choice matches the graph you drew.

Answers

Answer:

D.

Step-by-step explanation:

【Look at the image】

Answer:

option D

Step-by-step explanation:

[tex]y+2>-3x - 3[/tex]

Subtract 2 from both sides and solve for y

[tex]y>-3x - 5[/tex]

Now graph it using a table

Replace > symbol by == sign

[tex]y=-3x - 5[/tex]

make a table

x        y=-3x-5

0        -5

-1         -2

-2        1

Graph the points (0,-5) and (-2,1)

WE have only > symbol so we use dotted line

For shading we use test point (0,0)

[tex]y>-3x - 5[/tex]

Plug in 0 for x and 0 for y

[tex]0>-3(0) - 5[/tex]

0>-5  True

So we shade the region that contains (0,0)

option D is correct

the first two steps in determining the solution set of the system of equations y=x^2-6x
+12 and y=2x-4. Which represents the solution(s) of this system of equations?

Answers

For this case we have the following system of equations:

[tex]y = x ^ 2-6x + 12\\y = 2x-4[/tex]

Equating the equations:

[tex]x ^ 2-6x + 12 = 2x-4\\x ^ 2-6x-2x + 12 + 4 = 0\\x ^ 2-8x + 16 = 0[/tex]

We look for two numbers that when multiplied, get 16, and when added together, get -8.

These numbers are -4 and -4.

[tex](x-4) (x-4) = 0\\(x-4) ^ 2 = 0[/tex]

So, the solution is[tex]x = 4[/tex]

We look for the value of y:

[tex]y = 2x-4\\y = 2 (4) -4\\y = 8-4\\y = 4[/tex]

Finally, the solution is:[tex](4,4)[/tex]

ANswer:

[tex](4,4)[/tex]

The height of the parallelogram, h, can be found by dividing the area by the length of the base. If the area of the parallelogram is represented by 4x2 – 2x + 5 and the base is 2x – 6, which represents the height? 2x + 5 + 2x – 7 – 2x – 7 + 2x + 5 –

Answers

Answer:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Step-by-step explanation:

We know that the height of a parallelogram can be found by divind the area by the lenght of the base.

The area is 4x2 – 2x + 5 and the base is 2x – 6. To find the height, we need to divide both polynomials:

[tex]\frac{4x^{2}-2x+5}{2x-6} =2x + 5 + \frac{35}{2x-6}[/tex]

Answer:

[tex]2x+5+\frac{35}{2x-6}[/tex]

Step-by-step explanation:

Given,

The area of the parallelogram, A = [tex]4x^2-2x+5[/tex]

The length of its base, b = [tex]2x-6[/tex]

∵ The height of the parallelogram.

[tex]h=\frac{A}{b}[/tex]

[tex]\implies h=\frac{4x^2-2x+5}{2x-6}[/tex]

[tex]=2x+5+\frac{35}{2x-6}[/tex]   ( by long division shown below )

Hence, the height of the given parallelogram is,

[tex]2x+5+\frac{35}{2x-6}[/tex]

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)

Answers

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

[tex]\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}[/tex]

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

[tex]\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill[/tex]

From the equation, find the axis of symmetry of the parabola. y=-3x^2+3x-13 a. x=1/2 b. x=3 c. x=-1/2 d. x=1

Answers

The answer is a
The work and answer is shown in pic

The axis of symmetry of the parabola [tex]y = -3x^2 + 3x - 13[/tex] is x = 1/2.

The axis of symmetry of a parabola in the form [tex]y = ax^2 + bx + c[/tex] is given by the formula x = -b/2a.

In the given equation [tex]y = -3x^2 + 3x - 13[/tex],

we can identify a = -3, b = 3, and c = -13.

The axis of symmetry is then calculated as x = -b/2a:

x = -3/(2*-3) = -3/-6 = 1/2

So, the correct answer is a. x = 1/2.

segment SW is the diameter of circle C. Point S is located at (6,-1) and point W is located at (10,-7). What are the coordinates of the center of this circle?

A. (8, -3)
B. (7, -5)
C. (9, -3)
D. (8, -4)

Answers

D. (8, -4)

Since SW is the diameter of the circle, the center of the circle should be right in the center of that line. You simply have to find the midpoint of the line

Midpoint formula:

[ (x1+x2)/2 , (y1+y2)/2 ]

After substituting numbers:

[ (6+10)/2 , (-1-7)/2 ]
[ 16/2 , -8/2 ]
=(8, -4)

~~hope this helps~~

You put $280 in a one-year CD that will earn 4.5% a year, calculated semiannually. How much simple interest will you earn?

Answers

Answer:

25.77 dollars

Step-by-step explanation:

280 × .045 = y

y + 280 = z

z × .045 = c

z + c = d

d - c = the answer. $25.77

SCIENCE--What is the connection between glaciers high in the Himalayan Mountains and hundreds of millions of people living in the lowlands of India, China and Bangladesh? Select one: a. The glaciers cool the region. b. There is no connection. c. The glaciers feed the great rivers of Asia and supply the lowlands with freshwater. d. The glaciers prevent people from being able to travel through the mountains.

Answers

The best answer is C. Those glaciers cause large rivers and in turn large population centers to form.

C. Those glaciers cause large rivers and in turn large population centers to form.

Why are glaciers so important?

Glaciers are the cornerstone of life on Earth. As vast freshwater reservoirs, they support the Earth's life system and affect our daily lives, including communities that live far away. But glaciers are disappearing. The disappearing glacier reveals the tallest glacier on Everest, which has lost ice for 2,000 years since the 1990s.

Even the highest mountains in the world are not safe from climate change. Even the glaciers of Everest are unsafe from climate change, new research suggests. Glacier ice turns blue because the red (long wavelength) part of white light is absorbed by the ice and the blue (short wavelength) part is transmitted and scattered. The longer the pass light travels through the ice, the bluer it looks.

Learn more about glaciers here: https://brainly.com/question/6666513

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How to solve 3,4 and 6

Answers

Answer:

[tex]\large\boxed{3.\ V\approx130.88\ m^3}\\\boxed{4.\ V\approx35.21}\\\boxed{6.\ V\approx1.06\ in^3}[/tex]

Step-by-step explanation:

3.

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have R = 3.15 m. Substitute:

[tex]V=\dfrac{4}{3}\pi(3.15)^3\approx\dfrac{4}{3}\pi(31.26)\approx\dfrac{4}{3}(3.14)(31.26)\approx130.88\ m^3[/tex]

4.

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have 2r = 11.6 → r = 5.8 and H = x. Substitute:

[tex]V=\dfrac{1}{3}\pi(5.8)^2(x)=\dfrac{1}{3}\pi(33.64)x\approx\dfrac{1}{3}(3.14)(33.64)x\approx35.21[/tex]

6.

The formula of a volume of a cube:

[tex]V=s^3[/tex]

s - edge

We have s = 1.02 in. Substitute:

[tex]V=(1.02)^3\approx1.06\ in^3[/tex]

an app on your phone can estimate your time of arrival when given distance covered. You have travelled 4 1 2 kilometres. The app only accepts improper fractions.

Answers

Answer:

?

Step-by-step explanation:

wait is the kilometers number 412 or 41.2?

Final answer:

The mixed fraction 4 1/2 can be converted to the improper fraction 9/2 by multiplying the whole number by the denominator and then adding the numerator.

Explanation:

The question is asking you to convert a mixed fraction (4 1/2) into an improper fraction. In your case of 4 1/2, an improper fraction is a fraction where the numerator (the top number) is greater than the denominator (the bottom number). To convert a mixed number into an improper fraction, you multiply the whole number (4) by the denominator of the fractional part (2) and add the numerator of the fractional part (1). This gives you the numerator of the improper fraction.

Here's how you do it: 4*2 = 8, then add 1, which gives you 9. Your improper fraction is thus 9/2.

Learn more about Improper Fraction

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Help me on this math question

Answers

Answer:

Step-by-step explanation:

The smallest number is 0.6. A fractional amount is always less that a whole number.

6.0 is the next smallest amount in some form. 6.009 The 0.009 is very tiny compared to the other numbers

then comes 6.08 That has only 2 decimal places, but those two places are bigger than 6.009

0.009 has 3 decimal places.

========

Finally 6.24 is larger than anything else. The 2 is in the tenths place.

Given: AD = BC and Prove: DE congruent to CE

Answers

Answer:

Step-by-step explanation:

Given the following absolute value function find the range.
f(x) = |x+5| - 8​

Answers

Answer:

{f ∈ R : f≥-8}

Step-by-step explanation:

The range is the output values

f(x) = |x+5| - 8​

The smallest value the absolute value part can take is 0

f (min) = 0-8

The largest value is infinity

f(max) = infinity -8 = infinity

The range is -8 to infinity

3 sin^{2} x +cos 2x= (5/4)
answer in radians

Answers

Answer:

I believe it's 0.540717

Step-by-step explanation:

3(sin(2))x+(cos(2))(x)=5/4

Simplify: 2.311745x=5/4

Divide: 2.311745x/2.311735=5/4/2.311745

x=0.540717

Solve for x given the equation Vx+9 -4=1. Extraneous or not

Answers

Answer:

x=-4/V

Step-by-step explanation:

Add 4 to both sides to cancel out the 4.

So it now the equation is Vx+9=5

Subtract 9 from both sides to cancel out the 9.

Now the equation is Vx=-4

Divide V to both sides to get x alone.

The answer being x=-4/V

For this case we must find the value of "x" of the following equation:

[tex]\sqrt {x + 9} -4 = 1[/tex]

We add 4 to both sides of the equation:

[tex]\sqrt {x + 9} = 4 + 1\\\sqrt {x + 9} = 5[/tex]

We raise both sides of the equation to the square to eliminate the radical:

[tex]x + 9 = 5 ^ 2\\x + 9 = 25[/tex]

We subtract 9 from both sides of the equation:

[tex]x = 25-9\\x = 16[/tex]

Answer:

[tex]x = 16[/tex]

The area of the regular hexagon is 10.4 in.2. What is the measure of the apothem, rounded to the nearest tenth of an inch? 1.3 in. 1.7 in. 2.0 in. 3.4 in.

Answers

Answer:

1.7

Step-by-step explanation:

Given:

Area of polygon=10.4

sides of polygon=2

Formula for area of a regular polygon= 1/2 (apothem x perimeter )

Putting value, we get

10.4= 1/2 ( a x 12 )

10.4=6a

a=10.4/6

a=1.73

the measure of the apothem, rounded to the nearest tenth of an inch=1.7!

Answer:

1.7 inches

Step-by-step explanation:

If the area of the regular hexagon is 10.4 in.2, the measure of the apothem, rounded to the nearest tenth of an inch is  1.7 inches

solutions to equation x^2 + x - 30 = 12 using zero product property

Answers

Answer:

Our solutions are x= -7 , x=6

Step-by-step explanation:

x²+x-30=12

First we calculate the constants:

x²+x-30-12=0

x²+x-42=0

Now split the middle term:

x²+7x-6x-42=0

x(x+7)-6(x+7)=0

(x+7)(x-6)=0

As we know that:

a.b=0

⇒either a=0 or b=0

(x+7)=0 , (x-6)=0

x=0-7 , x=0+6

x= -7 , x=6

So our solutions are x= -7 , x=6....

Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces.
O

Answers

Answer:

1. The base is a triangle.

Step-by-step explanation: This one seems like it's the only corret one, You might have to wait and see the other answers roll in.

Answer:

2,3&5

Step-by-step explanation:

got it right on edg 2020

A teacher needs to choose seven students to hand out papers. The total number of ways he may choose the students can be found using a combination

Answers

It may be 2 students

Answer:

True

Step-by-step explanation:

Apex

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The coordinates of the preimage are: A(8,8) B(10,6) C(2,2) We want to reflect over y=1 first. Our new coordinates are: A(8, ) B(10, ) C(2, ) Now we will reflect over y=7 and our new coordinates will be: A(8, ) B(10, ) C(2, ) We can also see that 7(1)=6. We know that two reflections is the same as a translation of 2h units. So 2(6) is a translation of 12 units down. LENGUA VIVA! T (lavar / lavarse) el auto antes de ir a la fiesta. Nosotros (baar / baarse) antes de ir a la fiesta. Para llegar a tiempo, Ral y Marta (acostar / acostarse) a los nios antes de salir. Cecilia (maquillar / maquillarse) antes de salir. Mis amigos siempre (vestir / vestirse) con ropa muy elegante. Julia y Ana (poner / ponerse) los vestidos nuevos. Usted (ir / irse) a llegar antes que (before) los dems invitados, no Standard diction is typically used in ________ and informal language is typically used in ________.a. scientific texts : presidential speechesb. scholarly works: texts booksc. presidential speeches ; lecturesd. newspapers; text messages Find the cosine of the angle between the planes 1x+3y+1z=0 and the plane 5x+5y+4z=4 1.0. A body has a moss 5 kg, what does it mean? Howis mass of a body measured? Define one second Question 17 (5 points)Weapons of mass destruction were discovered by United States troops in Iraq.TrueFalse Three resistors, R1 = 10 , R2 = 20 and R3 = 30 are connected in series to a 12 V battery. Find: a. The equivalent resistance of the circuit. b. The current in each resistor. c. The voltage across each resistor. d. The power lost in each resistor. please help asap !!!!find f(-2) for f(x)=2*3^x A double replacement reaction can be best described as a reaction in which A young boy and girl are playing together. They pretend they are married and act out displays of affection like hugging and kissing. They also pretend they have a baby and care for it together. What are they doing? A light ray incident on a block of glass makes an incident angle of 50.0 with the normal to the surface. The refracted ray in the block makes an 27.7 with the normal. What is the index of refraction of the glass? What was Sarah G. Bagleys main achievement Beth wants to plant a garden at the back of her house. She has 32m of fencing. The area that can be enclosed is modelled by the function A(x) = -2x2 + 32x, where x is the width of the garden in metres and A(x) is the area in square metres. What is the maximum area that can be enclosed?Please help :( [25 points] Help with proportions, I don't understand! 134 out of 205 families in "Chimgan" village keep cows, 142 keep sheep and 76 keep goats. 67 families have cows and sheep, 10 have cows and goats, 15 have sheep and goats. There are 34 families who keep all three kinds of pets. a) How many families keep only one kind of pet?b) How many have no pets at all? Hint: Use the following diagram. PLEASE HELP! Science Mysteries: Why Do People Yawn?Science has given humans many amazing devices and useful bits of knowledge. We know so much about our bodies and how to stay healthy, for example. We also know how to make machines and devices that make life easy for us. Scientists dedicate their lives to knowledge, but even with a lifetime commitment, sometimes scientists fail to find all the answers. One mystery that still remains unsolved is why we yawnwhat makes us yawn and what purpose it serves.Recent studies suggest that we yawn when we get tired as a way to encourage our brains. The theory is that yawning helps cool the brain, allowing it to work more efficiently. According to WebMD's article about these studies, when you yawn, your jaw muscles get stretched, increasing blood flow to your neck, face, and head. Also a deep breath during the yawn forces spinal fluid and blood down from the brain. The cool air then cools down these fluids.Other scientists believe, however, that yawning is a form of communication. This theory attempts to explain why yawning seems to spread from person to person. This kind of behavior is called "contagious yawning" and carries with it a possible social message. Scientists are not yet sure what exactly the message is, but they believe people who have more social empathy are more likely to start yawning when they see someone else yawning.Scientists will continue to investigate the mystery of the yawn. Is it a leftover behavior from before humans had language? Was it a "Hey, I'm sleepy. Let's go to sleep" message? Or is it really just a way to keep our brains cool? While this behavior still is largely a mystery, one thing is certain: you are probably fighting the urge to yawn right about now.Which line shows the main idea of the bolded paragraph? Yawning is a form of communication Yawning seems to spread from person to person Scientists are not yet sure what exactly the message is People who have more social empathy are more likely to start yawning Once a human reaches the age of ..... he/she will start losing approximately 7,000 brain cells a day. The cells will never be replaced. A. 36B. 45C. 35D. 35 Which of the following was the purpose of the Pendleton Act of 1883 that is also known as the Civil Service Act of 1883? Which quotation from the passage best supports the themethat humans have a natural desire to learn about theworld?O "They were men. I remember the dead man's face."O "At least, we make a beginning."O "And the magic tools are brokenbut we can look atthem and wonder."O But they were men who built the city, not gods ordemons." Seven friends want to play a game. They must be divided into two teams with three people in each team and one leader. In how many ways can they do it? At a party, there are 8 small tables with 4 chairs at each table. Which expression can be used to find the number of chairs there are at the party?8 + 48 48 48 4