cuales el numero menor que 34.969.387 y mayor que 34.969.385​

Answers

Answer 1

Has la serie numérica

a= 34.969.385

b = 34.969.386

c = 34.969.387

[tex]a < b < c[/tex]


Related Questions

Suppose line n has a slope of 5/7 and passes through (4,8). what is the equation for n in point-slope form?

Answers

Answer:

[tex]\large\boxed{y-8=\dfrac{5}{7}(x-4)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope [tex]m=\dfrac{5}{7}[/tex] and the point [tex](4,\ 8)[/tex].

Substitute:

[tex]y-8=\dfrac{5}{7}(x-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]

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

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]

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]

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]

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)

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]

If you are given the graph of h(x)=log(6)x, how could you graph m(x)=log(6)(x+3)? Translate each point of the graph of h(x) 3 units up. Translate each point of the graph of h(x) 3 units down. Translate each point of the graph of h(x) 3 units right. Translate each point of the graph of h(x) 3 units left.

Answers

Answer:

Last option: Translate each point of the graph of h(x) 3 units left.

Step-by-step explanation:

There are some transformations for a function f(x). The following is one of these transformations:

If [tex]f(x+k)[/tex], then the function is shifted "k" units to the left.

Given the function  [tex]h(x)=log_6(x)[/tex] and the function  [tex]m(x)=log_6(x+3)[/tex], you can notice that the function m(x) is the function h(x) but shifted left 3 units.

Therefore, you could graph the function m(x) by translating each point of the graph of the function h(x) 3 units left.

This matches with the last option.

Answer:

Last option (D) Translate each point of the graph of h(x) 3 units left.

x2 + 2x2 + 3x + 6
Factor

Answers

Answer:

See Below.

Step-by-step explanation:

I'm going to take the equation to be

y = x3 + 2x2 + 3x + 6

That is, the first term is a typo

make 2 groups. Put brackets around both groups.

group 1: x^3 + 2x^2   Take out the common factor of x^2

group 1: x^2(x + 2)

group 2: 3x + 6       Take out the common factor of x^2

group 2: 3(x + 2)

Now put the two groups together

Cubic = group 1 + group 2

Cubic = x^2 (x + 2) + 3(x + 2)

Now take out the common factor of x + 2

Cubic = (x + 2) (x^2 + 3)

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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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.

~

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

8 lbs of cashew nuts cost $32. What is the cost of one pound?

Answers

Answer:

$4 per pound

Step-by-step explanation:

To find how much one pound of cashew nuts cost you have to use money over unit.

So money/unit, in this problem the money is 32 and the unit is 8.

So 32/8, now you divide 32 by 8 to get the price for one pound.

32 divided by 8 is 4

So $4 per pound

Answer:

The total cost of one pound is $4.

Step-by-step explanation:

[tex]\Large\textnormal{First, you divide the numbers from left to right to find the answer.}[/tex]

[tex]\displaystyle 32\div8=4[/tex]

[tex]\displaystyle \frac{8}{8}=1[/tex]

[tex]32\div4=8[/tex]

[tex]\displaystyle \frac{32}{8}=4\times1=4[/tex]

[tex]\Large \boxed{4}[/tex], is the correct answer.

I hope this helps you and have a wonderful day!

h(x) = 3x - 4
What is h(6)?
ETĀ. 14
e c. 22
SUBMIT

Answers

[tex]h(6)=3\cdot6-4=14[/tex]

Answer:

a. 14 is your answer.

Step-by-step explanation:

h(x) = 3x - 4

h(6) = ?

Plug in 6 for x: x = 6

h(6) = 3(6) - 4

Remember to follow PEMDAS. First, multiply, then subtract:

h(6) = (3 * 6) - 4

h(6) = (18) - 4

Simplify:

h(6) = 18 - 4

h(6) = 14

a. 14 is your answer.

~

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]

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.

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

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

An object is launched from a platform.
Its height (in meters), x seconds after the launch, is modeled by

h(x)=-5(x+1)(x-9)

What is the height of the object at the time of launch?

_________ meters

Please answer as soon as possible please!

Answers

Answer:

45 meters

Step-by-step explanation:

If x represents the seconds after the launch, then the time of launch is when x=0 so you just need to solve for h(0)

h(0) = -5(1)(-9)

h(0) = 45

Answer:

45 m

Step-by-step explanation:

At the time of launch, the time x = 0

Substitute x = 0 into h(x)

h(0) = - 5 (0 + 1)(0 - 9) = - 5(1)(- 9) = - 5 × - 9 = 45

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.

~

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

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....

What are the solutions to x2 + 8x + 7 = 0?
A.x= -8 and x = -7
B.x=-7 and x = -1
C.x= 1 and x = 7
D.x= 7 and x = 8

Answers

Answer:

B

Step-by-step explanation:

x² + 8x + 7 = 0

x²+x+7x+7=0

x(x+1)+7(x+1)=0

(x+1)(x+7)=0

Either x=-1or x=-7.

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

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

find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23

Answers

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

AB= 6x, BC= x-5, AC= 23

Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

x=4

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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Which expression is equivalent to (4 ^5/4 times 4^1/2 divided by 4^1/2)

Answers

Answer:

[tex] 2 ^ { \frac { 5 } { 2 } [/tex]

Step-by-step explanation:

We are given the following expression which we are to find its simplest form:

[tex] \frac { 4 ^ { \frac { 5 } { 4 } } \times 4 ^ { \frac { 1 } { 2 } } } { 4 ^ { \frac { 1 } { 2 } } }[/tex]

Cancelling the like terms to get:

[tex] 4 ^ { \frac { 5 } { 4 } } [/tex]

[tex] 2 ^ { 2 .\frac { 5 } { 4 } } = 2 ^ { \frac { 5 } { 2 } } [/tex]

[tex] 2 ^ { \frac { 5 } { 2 } [/tex]

Answer:

B

Step-by-step explanation:

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.

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An urn contains 4 white and 4 black balls. We randomly choose 4 balls. If 2 of them are white and 2 are black, we stop. If not, we replace the balls in the urn and again randomly select 4 balls. This continues until exactly 2 of the 4 chosen are white. What is the probability that we shall make exactly n selections? Mrs. Batista has come to her doctor to get help for a headache in the back of her head and neck that presents every morning when she wakes and subsides during the day. She says she is waking up more often in the middle of the night to go to the bathroom, and she reports that sometimes during the day, she has visual disturbances. In your physical examination of Mrs. Batista, you find that her blood pressure is elevated. Which of the following conditions is Mrs. Batista most likely to have....A.Primary hypertensionB.Secondary hypertensionC.PheochromocytomaD.Hypertensive crisis If there is a surplus in the market for loanable funds, the resulting change in the real interest rate a. raises the quantity of loanable funds supplied and reduces the quantity of loanable funds demanded. b. reduces the quantity of loanable funds supplied and raises the quantity of loanable funds demanded c. raises both the quantity of loanable funds supplied and the quantity of loanable funds demanded. d. reduces both the quantity of loanable funds supplied and the quantity of loanable funds demanded. Which equation represents the slope-intercept form of the line below? y intercept: 0, 8 slope : 1/2 When a balloon is deflating, why does air leave the balloon? Rectangle PQRS has vertices P(1, 4), Q(6, 4), R(6, 1), and S(1, 1). Without graphing, find the new coordinates of the vertices of the rectangle after a reflection over the x-axis and then another reflection over the y-axis. PLEASE HELP PLEASE Which of the following numbers is divisible by 3 and 9?A.74,028B.40,653C.62,997D.95,376 4. Suppose you deposit $100 in a savings account that compounds annually at 2%. After 1 year at this rate, the bank changes its rates of compounding to 1.5% annually. Assuming the compounding rate does not change for 4 additional years, how much will your account be worth at the end of the 5 year period? A box rests on the (horizontal) back of a truck. The coefficient of static friction between the box and the surface on which it rests is 0.24. What maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 3.0 s without having the box slide? Which event was part of the early groundwork that led to the Irish Potato Famine? A. Ships bribing their crews to remove corpses B. The Protestant belief in divine providence C. The belief in the famine as a necessary evil to keep the system functioning D. Oliver Cromwell initiating actions against Irish Catholics Which of the following is a product of science a basket weaving b modern bananas c singing d Astrology What is the magnitude (in Newtons) of the force a 796-uC charge exerts on a 481-nC charge 23.1-cm away? 2 pts Question 5 A proton is released in a uniform electric field, and it experiences an electric force of 6.9x10-15-N toward the south. What is the magnitude (in N/C) of the electric field? the following sentences test your ability to recognize grammer and usage errors :"The reporter failed to notice the discrepancies in the report that the congressmen presented because his staff and him had successfully diverted the medias' attention to other issues." Professor Shapiro is your life-span development instructor. One day in class, he discusses his belief that many older people withdraw from others because of their past stratification and that, if they were to engage in activities with others, it would make life more gratifying and promote the positivity effect. Professor Shapiro is supporting _____ theory. An 85-year-old patient states that she does not perform breast self-exam because there is no history of breast cancer in her family. What is the best response? Choose the best answer. The diagonals of a rectangle:A.) are double the shortest sideB.) none of theseC.) are the same lengthD.) are the not same length Dean has earned $71,750 annually for the past six years working as an architect for WCC Inc. Under WCC's defined benefit plan (which uses a 7-year graded vesting schedule) employees earn a benefit equal to 4.0% of the average of their three highest annual salaries for every full year of service with WCC. Dean has worked for six full years for WCC and his vesting percentage is 80%. What is Dean's vested benefit (or annual retirement benefit he has earned so far)? A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? Insulin is produced and secreted by ______ cells of the ______ (name of the organ) Find the product of (x 7)2.A. x2 14x + 49B. x2 + 14x + 49C. x2 49D. x2 + 49