How many numbers are in the list 433, 429, 425, .... -103, -107?

The negative really confuses me

Answers

Answer 1

Answer:

135

Step-by-step explanation:

You can add the number which are in negative o

as well

The number is in descending order by 4.

Then add the first and last number i.e.

433+107===> 540

divide 540 by 4

540/4

= 135


Related Questions

In the parallelogram below,
y = [? ]°
2
Z
1240
33%

Answers

Answer:

y = 33

Step-by-step explanation:

Angle y and 33 are alternate interior angles since the figure is a parallelogram and alternate interior angles are equal

y = 33

Answer:

y = 33°

Step-by-step explanation:

The diagonal of the parallelogram (a transversal) intersects two opposite and parallel sides of the parallelogram  

Then

The angles of measures y° and 33° are Alternate interior angles

Then

they are congruent.

In other words , y = 33°

jake made some tarts. He sold 3/5 of them and gave 1/4 of the remainder to his friends. If he had 150 tarts left, how many did he sell?
Check what other students also ask

Answers

Answer:

300 tarts

Step-by-step explanation:

we must solve this equation by going backwards

3/4 of something (as 1/4 was given away) is 150

150 / 3/4 is what you must do

or

150 * 4/3

that is

200

3/5 was sold so 2/5 was left

2/5 of something is 200

200 / 2/5

200 * 5/2

that is

500

3/5 of that was sold

so

500 * 3/5 is 300

300 tarts were sold

Given that m/_a=40 and m/_b=61 find that the measure of angles x and y

Answers

Answer:
y = 140, x = 159
Step-by-step explanation:
Angle y:
we can find this angle by subtracting 40 from 180, 180-40 = 140 = y
Angle x:
Some measure of an angle plus angle b is equal to 180 degrees: 180-61 = 119
We can now find the measure of the third angle of the triangle: 180-(119+40) = 21
The third angle plus angle x is equal to 180: 180-21 = 159 = x

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

x = 159°

y = 140°

[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]

[tex]\qquad❖ \: \sf \:y + a = 180[/tex]

( linear pair )

[tex]\qquad❖ \: \sf \:y + 40 = 180[/tex]

[tex]\qquad❖ \: \sf \:y = 180 - 40[/tex]

[tex]\qquad❖ \: \sf \:y = 140 \degree[/tex]

And

[tex]\qquad❖ \: \sf \:x = a +( 180 - b)[/tex]

( Exterior angle = sum of opposite interior angles )

[tex]\qquad❖ \: \sf \:x = 40 + (180 - 61)[/tex]

[tex]\qquad❖ \: \sf \:x = 40 + 119[/tex]

[tex]\qquad❖ \: \sf \:159 \degree[/tex]

[tex] \qquad \large \sf {Conclusion} : [/tex]

x = 159°

y = 140°

Hello please help asap!! i will mark brainliest and this is worth 20 points!!!!! tysm

Answers

The least number of colors needed to correctly color in the sections of the given picture so that no two touching sections have the same color is 5.

Let's say we begin with a single triangle. This triangle will be the first of a series of seven subsequent triangles, none of which will have any portions contact. If a square were the initial shape, then there are five shapes—three of which are squares and the other two are triangles—that don't have any touching portions. Given that a square takes up twice as much room, this value is probably lower, but location also matters. Therefore, for the given figure, the least number of colored areas you can color in that yet meet the required criteria is 5.

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Sasha does push-ups each day for five days. The numbers of push-ups she does each day or shown below.
22, 36, 21, 25, 27

Answers

The mean average of push ups Sasha does in 5 days is 26.2.

Mean average

Number of days = 5Day 1 = 22 push upsDay 2 = 36 push upsDay 3 = 21 push upsDay 4 = 25 push upsDay 5 = 27 push ups

Mean average = Total push ups done / number of days

= (22 + 36 + 21 + 25 + 27) / 5

= 131 / 5

= 26.2

Therefore, the mean average of push ups Sasha does in 5 days is 26.2.

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Explain insurable interest and give an example

Answers

The examples of insurable interest is an employer under certain arrangements.

Insurable interest is a investment that protects anything subject to a financial loss. A person or entity has an insurable interest in an item, event, or action when the damage or loss of the object would cause a financial loss or other hardshapes. In order to have an insurable interest a person or entity would take out an insurance policy protecting the person,item, or event in question. The insurance policy is able to  mitigate the risk of loss if something happens to the asset-like becoming damaged or lost.

Examples of insurable interest are:

YourselfYour spouse or former spouseYour children or grandchildrenA special needs adult childAn aging parentAn employer (under arrangements)

Hence the examples of insurable interest is an employer under certain arrangements.

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Answer: Insurable interest means you must have a financial stake in the risk being insured. You can’t claim insurance for a risk that you don’t face directly.

If Rob’s dad’s car is stolen, his father will receive the insurance money, not Rob.

Step-by-step explanation: Edmentum

:
Find the intercepts and graph the following linear equations:
3x+4y-12=0

x - intercept:
y - intercept:

Answers

Answer:

  x-intercept: (4, 0)

  y-intercept: (0, 3)

Step-by-step explanation:

The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.

Intercepts

Setting x=0 and solving for y, we have ...

  4y -12 = 0   ⇒   y = 12/4 = 3

Setting y=0 and solving for x, we have ...

  3x -12 = 0   ⇒   x = 12/3 = 4

The intercepts are ...

  x-intercept: (4, 0)

  y-intercept: (0, 3)

Graph

The line will go through these intercept points.

Make a table for each function rule. Then graph each equation using the points you created.

F (x) = 2x - 5
F (x) =-3x +6
F (x) =2/3x +4

Answers

Answer:

1.f(x)=2x-5

i will take the set {-2,-1,0,1,2}

f(-2)=2(-2)-5

=-4-5

=-9

f(-1)=2(-1)-5

=-2-5

=-7

f(0)=2(0)-5

=-5

f(1)=2(1)-5

=-3

f(2)=2(2)-5

=-1

so the coordinates of the function is {-9,-7,-5,-3,-1}

2.f(x)=-3x+6

i will the take the set {-2,-1,0,1,2} too

f(-2)=-3(-2)+6=6+6=12

f(-1)=-3(-1)+6=3+6=9

f(0)=-3(0)+6=6

f(1)=-3(1)+6=-3+6=3

f(2)=-3(2)+6=-6+6=0

{12,9,6,3,0}

3.f(x)=2/3.x+4

{-2,-1,0,1,2}

f(-2)=2/3(-2)+4=-4/3+4=(-4+12)/3=8/3

f(-1)=2/3(-1)+4=-2/3+4=(-2+12)/3=10/3

f(0)=2/3(0)+4=4

f(1)=2/3(1)+4=2/3+4=(2+12)/3=14/3

f(2)=2/3(2)+4=4/3+4=(4+12)/3=16/3

{8/3,10/3,4,14/3,16/3}

you're can graph those coordinates

actually you can take other coordinates...

CMIIW

,

Pls need help 100 points and crown if right!!!
Marlene only has enough ingredients to make a 1/3

batch of cookies. For the smaller batch, she only needs 3/4

cup of sugar. How much sugar does the recipe for a full batch of cookies call for? Include all your work in your answer.

Answers

Answer:

[tex]\sf 2\dfrac{1}{4}\ cups \ of \ sugar[/tex]

Explanation:

Let the full batch be x

Here given:

3/4 cup of sugar required to make 1/3 batch of cookies

Build equation:

[tex]\sf \rightarrow \dfrac{1}{3}x = \dfrac{3}{4} \ cup \ of \ sugar[/tex]

Solve:

[tex]\sf \rightarrow x = \dfrac{3(3)}{1(4)}[/tex]

[tex]\sf \rightarrow x = \dfrac{9}{4}[/tex]

[tex]\rightarrow \sf x = 2\dfrac{1}{4}[/tex]

Answer:

2 2\3 cups of sugar.

Step-by-step explanation:

0
100
200
300
400 500 600 700
Quantity Supplied
nstructions: Refer to the graph and answer the questions below.
Suppose the price is $6. What is the Quantity Supplied?
Suppose the Quantity Supplied is 200. What must the price be?
Suppose the price is $5 resulting in a Quantity Supplied of 300. Then the pric

Answers

Answer:

a. 400

b. 4$

Step-by-step explanation:

2$ equals 0 Quantity

3$ equals 100 Quantity

4$ equals 200 Quantity

We can see that starting from 2$, a dollar will increase the Quantity by 100

=
Use the Fundamental Counting Principle to solve.
A television programmer is arranging the order that three movies will be seen between the hours of 6 P.M. and 12
A.M. Two of the movies have a G rating, and they are to be shown in the first two time blocks. One of the movies is
rated NC-17, and it is to be shown in the last of the time blocks, from 10 P.M. until 12 A.M. Given these restrictions,
in how many ways can the three movies be arranged during the indicated time blocks?


The number of different ways the three movies can be arranged during the indicated time blocks is.
(Type a whole number.)

Answers

[tex]number \: of \: movies = 3 \\ permutations = 2 \\ \\ c( \gamma ) = 2! \times 1 = 2 \: ways[/tex]

[tex]g(1) \: \: \: \: g(2) \: \: \: \: nc(17) \\ g(2) \: \: \: \: g(1) \: \: \: \: nc(17)[/tex]

Select the correct answer.
Which equation represents the measure of the unknown angles?
C
E
D

A.
B.
50°
C.
(x+10)
F
x + x + 10 =
= 130°
x + 10 = 180°
x+10= 130°
D. x + x + 10 = 180°

Answers

Step-by-step explanation:

x+x+10+50=180

2x+60=180

2x=180-60

2x=120

x=120/2

x=60

elsa sold 24 drawings for $12 each at the art fair. She is going to use 1/3 of the money to buy books. The rest of the money is going into her savings account. How much money will she put into her savings account?

Answers

$192

If we multiply the 24 drawing by $12 for each drawing we get $288, the total she made at the art fair. By multiplying this total by 1/3, we get $96 which is the amount she spent on books. If we subtract the $96 spent from the $288 she made, we get $192, the amount she put into her savings account.

24 * $12 = $288
$288 * 1/3 = $96
$288 - $96 = $192

Find the surface area of the cone in terms of pie 18 height 12 radius

Answers

144π cm²

Answer:

Solution given:

diameter (d)= 12cm

radius (r)=12/2=6 cm

slant height(l)=18cm

Now

Total surface area of cone=πr(r+l)π*6(6+18)=144π cm²

Let a be an even integer number, b be an odd integer number and c be an integer number.

Which of the following statements is NOT true?


a.
If a+b=c, then c is odd integer.


b.
If b+b=c, then c is even integer.



c.
If b×b=c, then c is even integer.


d.
If a×b=c, then c is even integer.

Answers

The false statement is given by:

c. If b×b=c, then c is even integer.

When is the addition of two integers even or odd?

It both numbers are even or both are odd, the addition is even.It one number is even and the other is odd, the addition is odd.

When is the multiplication of two integers even or odd?

It at least one of the numbers is even, the multiplication is even.If the two numbers are odd, the multiplication is odd.

Hence, since b is odd, b x b = c is odd, hence statement c is false.

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Anu is a photographer and was recently hired to photograph a wedding in Hawaii. While there, Anu had some time to
explore the island and capture other beautiful pictures.
During the trip, Anu took a total of 1,200 photographs. Of these, 25% were wedding photos, 35% were pictures of Lanikai
Beach, and the rest of the pictures were taken at the Honolulu Zoo. How many of Anu's pictures were taken at the Honolulu
Zoo?

Answers

ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.

Find X:
J:58
K:70
L:111
M:121

Answers

Answer: 111

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees, so:

[tex]121+58+70+x=360\\\\x=111[/tex]

Answer:

111

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 360:

121 + 58 + 70 + x = 360 add like terms

249 + x = 360 subtract 249 from both sides

x = 111 is the measure of the angle represented with x

HELP!!!! Which of the following statements must be true to prove lines m and n are parallel? Question 19 options: A) ∠1 ≅ ∠6 B) m∠3 + m∠5 = 180° C) m∠2 + m∠6 = 180° D) ∠4 ≅ ∠8

Answers

Answer: B) m∠3 + m∠5 = 180°

Step-by-step explanation:

Concept:

For this question, we will be looking at each answer choice and eliminating the incorrect ones

A) ∠1 ≅ ∠6

∠1 is an exterior angle

∠6 is an interior angle

They are in an alternative position

Since they are neither both exterior nor interior, they are not congruent

[tex]\large\boxed{FALSE}[/tex]

B) m∠3 + m∠5 = 180°

∠3 is an interior angle

∠5 is an interior angle

They are in a same-side position

Since they are both interiors, they fulfill the same-side interior angle theorem, which states: that if a transversal cuts two parallel lines, then the interior angles on the same side of the transversal are supplementary, which means their sum adds up to 180°.

[tex]\Huge\boxed{TRUE}[/tex]

C) m∠2 + m∠6 = 180°

∠2 is an exterior angle

∠6 is an interior angle

They are in a same-side position

Since they are on the same side, they fulfill the corresponding angle theorem which states: the angles that occupy the same relative position at each intersection are congruent to each other.

However, they are only congruent, they don't add up to 180°

[tex]\large\boxed{FALSE}[/tex]

D) ∠4 ≅ ∠8

∠4 is an interior angle

∠8 is an exterior angle

They are in an alternative position

Since they are neither both exterior nor interior, they are not congruent

[tex]\large\boxed{FALSE}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

In a survey of 2035 workers, 73% reported working out 3 or more days a week. What is the margin of error? What is the interval that is likely to contain the exact percent of all people who work out 3 or more days a week? Show all work.

Your work needs to be your own. If you need help, reach out to your teacher. Use this formula:

Answers

The margin of error is 1.9%. and the interval that likely contains the true percent of all people who work out 3 or more days a week is: (71.1%, 74.9%)

What is the Margin of Error?

Margin of error is the critical value (t score or z score) multiplied by the standard error (standard deviation of the sample). Thus;

ME = Critical value × S.E

Since n > 30, we can use the z-score as the critical value.

Assuming 95% confidence level, then z = 1.96

The standard error for a proportion is given by the formula:

s = √(p (1 − p) / n)

We are given;

p = 0.73

n = 2035:

Thus;

s = √(0.73 (1 − 0.73) / 2035)

s = 0.0098

Thus, the margin of error is:

ME = 1.96 × 0.0098

ME = 0.019

The margin of error is 1.9%.  

The interval that likely contains the true percent of all people who work out 3 or more days a week is:

73% ± 1.9% = (71.1%, 74.9%)

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find dy/dx when y =
[tex] \sqrt{(1 + cosx)/( 1 - cosx)} [/tex]

Answers

Answer:

cos(x)

Step-by-step explanation:

(1 + cos(x))(1 - cos(x)) = 1 - cos²(x) = sin²(x)

sqrt(sin²(x)) = sin(x)

sin'(x) = cos(x)

The price of an item has risen to $187 today. Yesterday it was $110. Find the percentage increase.

Answers

Answer:

Percent increase is 70%.

Step-by-step explanation:

The original price was $110. That will go on the bottom (denominator) in our calculation. On the top (numerator) we put the change in the dollar amount. The new price is $187. So we'll subtract:

187 - 110

= 77

The change in price was $77.

change/original

= 77/110

= 0.7

Change the decimal answer to a percent by multiplying by 100.

0.7 × 100

= 70%

The percent increase is 70%.

Two triangles are similar. The sides of the first triangle are 4,5,and 6. The largest side of the second triangle is 24. Find the perimeter of the second triangle.

Answers

Answer:

The perimeter of the second triangle is 60 units.

Step-by-step explanation:

If two triangles are similar, their corresponding sides will be k times greater or smaller, where k is the scale factor.

We have two corresponding sides given, 6 and 24 or 6k. Using this info, find the value of k:

k = 24/6 = 4

The other sides of the larger triangle are:

4k = 4*4 = 165k = 5*4 = 20

The perimeter is the sum of sides:

P = 16 + 20 + 24 = 60

could anyone help me solve this?

Answers

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

A random sample of 80 tires showed that the mean mileage per tire was 41,400mi, with a standard deviation of 4700mi

Answers

Question 14

Part (a)

[tex]\frac{46800-41400}{4700} \approx \boxed{1.15}[/tex]

Part (b)

[tex]-2.57=\frac{x-41400}{4700} \\ \\ -2.57(4700)=x-41400 \\ \\ x=41400-2.57(4700) \\ \\ x \approx \boxed{29300}[/tex]

(1+m)²= (1-m)²+ 4lm,​

Answers

The expression is simplified to give 2 ( m² + m + 2Im ) = 0

How to simplify the expression

Given the expression;

(1+m)²= (1-m)²+ 4lm,​

Expand the expression

( 1 +m) ( 1 + m) = ( 1 + m) ( 1 - m) + 4Im

1 + m + m + m² = 1 - m + m - m² + 4Im

collect like terms

1 + 2m + m² = 1 - m² + 4Im

1 - 1 + m² + m² + 2m + 4Im

2m² + 2m + 4lm = 0

simplify

2 ( m² + m + 2Im ) = 0

Thus, the expression is simplified to give 2 ( m² + m + 2Im ) = 0

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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

What is a Chord in Geometry?

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

What is the Congruent Chords Theorem?

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER

Answers

The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.

Given that BD is diameter of the circle and angle BAC is 100°.

We are required to find the central angle, major arc, minor arc, m BEC, BC.

Angle is basically finding out the intensity of inclination of something on the surface.

In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.

Major arc of a circle is that arc whose length is larger than all other arcs in the circle.

In our circle the major arc is arc BED.

Minor arc of a circle is that arc whose length is smaller.

In our circle the minor arc is arc ADC.

We know that arc's length is 2πr(Θ/360)

In this way BC=2π*(BD/2)*100/360

=(5π*BD)/18

We cannot find angle BEC.

Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.

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Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship.


Enter the correct answer in the box by replacing the values of a and b

f(x) = a(b)^x

(PLATO)

Answers

The exponential equation modeling this relationship is given as follows:

f(x) = 8(0.5)^x.

What is an exponential equation?

An exponential equation is modeled by:

f(x) = a(b)^x

In which:

a is the initial value, that is, the value of y when x = 0.b is the rate of change.

For this problem, we have that when x = 0, y = 8, hence a = 8. Then:

f(x) = 8(b)^x.

When x = 1, y = 4, hence b is found as follows:

f(x) = 8(b)^x.

4 = 8b

b = 0.5.

Hence the equation is:

f(x) = 8(0.5)^x.

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For each ordered pair, determine whether it is a solution to the system of equations.
=+−9x2y6=−5x3y8

Is it a solution?
x, y Yes No
7, 9


0, 3


−5, 4


−−2, 6

Answers

The only ordered pair that is a solution to the given system of equations is (-2, -6)

System of Linear Equations

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

For  (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

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f(x)=cos(2x) and state the amplitude and period. Enter exact answers

Answers

The amplitude of function f(x)=cos(2x) is 1 and the period is 2.

Given that the function of x is f(x)=cos(2x).

We are required to find the value of amplitude and period of function f(x) which is given in the question.

Amplitude basically refers to maximum displacement from the equilibrium that an object in periodic motion show. It is a product analytics platform or term that helps businesses to track visitors with the help of collaborative analytics.

Period is basically the time interval between two waves. A function  that repeats its values at regular intervals or periods is known as periodic function.

The amplitude of f(x)=cos(2x) is 1 because the highest value that cos Θ can give 1. We can also see in graph that the value of cos 2x is going to 1 and starts decreasing again.

The period of f(x) is 2. From the graph we can say that the vertical distance between upper point and lower point is 2.

Hence the amplitude of function f(x)=cos(2x) is 1 and the period is 2.

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Other Questions
Select the correct answer from each drop-down menu. complete this paragraph about the age of exploration by correctly filling in the missing information. in hopes of finding a route to asia, started the first school to teach sailors about oceanic navigation, mapmaking, and more. he sponsored 14 expeditions in 12 years to try to navigate to . finally, was able to successfully complete the journey. this became a stepping stone to find a maritime route to asia. The ________ loop is a good choice when you know how many times you want the loop to iterate in advance of entering the loop. switch do-while while for pre-test Simplify the following polynomial expression. (5x4 - 9x3 + 7x - 1) + (-8x4 + 4x2 - 3x + 2) - (-4x3 + 5x - 1)(2x - 7) What term did max weber use to refer to a disciplined work ethic, this-worldly concerns, and a rational orientation to life emphasized by john calvin and his followers? Which of the following is a role of state government in land use regulation? What is being measured when an advertiser assesses an advertisement's impact through pretesting? In 1656, the Burgmeister (mayor) of the town of Magdeburg, Germany, Otto Von Guericke, carried out a dramatic demonstration of the effect resulting from evacuating air from a container. It is the basis for this problem. Two steel hemispheres of radius 0.430 m (1.41 feet) with a rubber seal in between are placed together and air pumped out so that the pressure inside is 15.00 millibar. The atmospheric pressure outside is 940 millibar. 1. Calculate the force required to pull the two hemispheres apart. [Note: 1 millibar=100 N/m2. One atmosphere is 1013 millibar = 1.013105 N/m2 ]2. Two equal teams of horses, are attached to the hemispheres to pull it apart. If each horse can pull with a force of 1450N (i.e., about 326 lbs), what is the minimum number of horses required? The concept of the _____________ was established to improve the relationship between people and machines to increase organizational effectiveness and efficiency. What primarily differentiates the three types of cone photoreceptors in the retina? If there is an increase in demand for a good, what will most likely happen to the price and quantity of the good exchanged? Part a a calorimeter consists of an aluminum cup inside of an insulated container. The cup is weighed on a top-loading balance and is found to have a mass of 31. 91 g. A reaction is conducted in the calorimeter, raising the temperature from 21. 2 c to 26. 1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0. 903 j 1 ? 1 write your answer to the correct number of significant figures. When a portion of a chromosome breaks off and attaches to a different chromosome this is called a:_______ What is the answer ? 48. Which of the following (a) KCI (b) NaCl is called Sylvine? (c) CaCl (d) MgCl how many liters of 70% alcohol solution and 20% alcohol solution must be mixed to obtain 20 liters of 60% alcohol solution? 4. The figure shows a rectangular tank.(a) The capacity of the tank is ___ L.(b) After pouring 10L of water into the tank, the depth of water will be __ cm. Let S1 be the amount allowing 10% discount on the price of some goods and then adding 10% VAT. Let S2 be the amount adding 10% VAT and then allowing 10% discount. Which of the following is true? (i) S1 > S2 (ii) S1 < S2 (iii) S1 = S2 (iv) Cant be decided The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 14, 13, 16, 12, 17, 21, 26 In the late 80s oceanographers discovered what has since been named The Great Pacific Garbage Patch. It is an enormous stretch of the Pacific Ocean where ocean currents have pushed plastic garbage and debris. Tons of plastic has collected in this one area. It is difficult to know exactly how large the garbage patch is, but it is estimated to be between 700,000 square kilometers to 15,000,000 square kilometers. That is anywhere from the size of Texas to roughly the size of Russia! A large portion of the debris is confetti-like plastic. This debris has chipped away from larger plastic products. This is problematic to sea life because it is easily confused with food. Marine animals suffer and die from ingesting plastic that they cannot digest. The United Nations estimated that by the year 2050, the oceans may contain more plastic than fish.This became a concern for a young man, Boyan Slat. When he was 16 years old, he went diving in Greece. He realized that he found more plastic bags in the ocean than fish. He spent half of his school year studying why floating ocean plastic is so challenging to clean up. With a passion for engineering, Boyan came up with a concept to clean up ocean garbage patches. He wanted to create a solution that was inexpensive. He also didn't want to risk catching ocean wildlife by accident, while collecting plastics. Most other garbage-catching models relied on creating a garbage collector that would move through the oceans. Boyan wanted to create a collector that stayed in one place, with the plastic waste gravitating towards it.In 2012, he presented his concept at a conference, and continued working on the design alongside other engineers, scientists, and experts. After the conference, Slat received support and attention. In 2013, he began an organization to make his idea become a reality. It is called The Ocean Cleanup. Since then, The Ocean Cleanup has raised money, launched expeditions, done studies, and tested prototypes to support this project. His plastic-collecting system includes a garbage collector suspended in between two large booms. The booms catch the drifting plastic and slowly force it toward the center of the collector. The collector would need to be emptied by boat about once a month.It is predicted that the system would filter out tens of thousands of debris each year. Boyan expects that it could collect as much as 50% of the total ocean trash in just five years! The first cleanup system is set to begin by mid-2018. In the future, Boyan's brilliant ideas may completely clean up our oceans!Which of the following best explains why Boyan's design for a garbage collector was better than those that had preceded it? A.He had a passion for engineering and design that made him better suited to designing a successful model that would work in the real world.B.He worked alongside other engineers, scientists, and experts doing many studies, expeditions, and testing to ensure it was an effective design.C.It was a cheaper, simpler solution where the collector would flow towards the garbage instead of the garbage flowing towards the collector.D.It was a cheaper, simpler solution where the garbage would flow towards the collector instead of the collector flowing towards the garbage. Name one striking dilemma faced by military doctors in combat. how do you think you might reconcile this dilemma with your faith and with the military code of conduct?