Which points are a distance of 5 units from (2, 3) if ? (7, 3) (–1, –1) (0, 3) (2, 8) (−7, 6)

Answers

Answer 1

Answer:

(7, 3), (–1, –1) and (2, 8) are at a distance of  units from (2, 3).

Step-by-step explanation:

We know that the formula of distance is given by:

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

So substituting the given points points to check which points are at a distance of 5 units from [tex](2,3)[/tex].

1. (2, 3) and (7, 3):

[tex]\sqrt{(7-2)^2+(3-3)^2} =\sqrt{25} = 5[/tex]

2. (2, 3) and (–1, –1):

[tex]\sqrt{(-1-2)^2+(-1-3)^2} =\sqrt{25} = 5[/tex]

3. (2, 3) and (0, 3):

[tex]\sqrt{(0-2)^2+(3-3)^2} =\sqrt{4} = 2[/tex]

4. (2, 3) and (2, 8):

[tex]\sqrt{(2-2)^2+(8-3)^2} =\sqrt{25} = 5[/tex]

5. (2, 3) and (-7, 6):

[tex]\sqrt{(-7-2)^2+(6-3)^2} =\sqrt{90} =9.5[/tex]

Answer 2

Answer:

Step-by-step explanation:

The correct answer are A B and D

I just took the test

 Which Points Are A Distance Of 5 Units From (2, 3) If ? (7, 3) (1, 1) (0, 3) (2, 8) (7, 6)

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a restraunt owner is going to panel a square portions of the restaurants ceiling. The portion to be paneled has an area of 185 ft^2. The owner plans to use square tin ceiling panels with a side length of 2 ft. What is the first steps in finding ouw whether the owner will be able to use a whole number of panels?

Answers

Answer: Dividing 185 by 4 is the first step in finding out whether the owner will be able to use a whole number of panels. Hope this helps!

Step-by-step explanation:

The owner will not be able to use a whole number of panels btw

3 (x - 1) = 3x - ________

What would 3x be subtracted by

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Use the distributive property:

  3(x - 1)

= 3(x) + 3(-1)

= 3x  - 3

         

Carrie has 300 marbles 25 of the marbles are green 15% of the marbles are red and the rest of the marbles are blue how many blue marbles does he have​

Answers

Answer:

230.

Step-by-step explanation:

[tex] \: \: \: \: 300 - 25 - \frac{15}{100} \times 300 = \\ = 275 - 45 = \\ = 230[/tex]

Hope this helps!

Answer:

230 blue marbles

Step-by-step explanation:

In order to answer this question, we need to find how many marbles are red.

We know that 25 marbles are green

15% of the marbles are red.

There are a total of 300 marbles.

We would multiply 300 by 0.15 to find how many marbles are red.

[tex]300*0.15=45[/tex]

45 marbles are red.

In the question, it says the rest of the marbles are blue.

This means that we would subtract 300 by 25 and 45 to find how many marbles are blue.

[tex]300-25-45=230[/tex]

This means that 230 marbles are blue.

I hope this helps!Best regards,MasterInvestor

What is the solution to the equation fraction 1 over 6 x = 2?

x = fraction 1 over 12

x = fraction 1 over 3

x = 3

x = 12

Answers

C=1/12
1/6x=2 so 1=12x
X=1/12

Answer:

C=1/12

1/6x=2 so 1=12x

X=1/12

Step-by-step explanation:

How many different 5-letter words can be created using the letters M, A, G, I, C without any letter being used more than once?

Answers

Answer:

You can spell only one word using the letters (M,A,G,I,C) the only word able to be made would be magic.

Step-by-step explanation:

Hope this helped you! :3

Answer:Meets,Abuzz,Glows,Inner,Creepy

Step-by-step explanation:

Graph the pair of equations on the same axes and state whether they are parallel, perpendicular, or neither.

Answers

Answer:

Parallel

Step-by-step explanation:

Instead of putting this and slope intercept form.  I'm going determine the

x-intercept and the y-intercept of both.

The x-intercept can be found by setting y to 0 and solving for x.

The y-intercept can be found by setting x to 0 and solving for y.

So let's look at 3x-2y=5.

x-intercept?

Set y=0.

3x-2(0)=5

3x       =5

 x       =5/3

y=intercept?

Set x=0.

3(0)-2y=5

     -2y=5

        y=-5/2

So we are going to graph (5/3,0) and (0,-5/2) and connect it with a straightedge.

Now for 6y-9x=6.

x-intercept?

Set y=0.

6(0)-9x=6

     -9x=6

        x=-6/9

        x=-2/3

y-intercept?

Set x=0.

6y-9(0)=6

6y        =6

 y        =1

So we are going to graph (-2/3,0) and (0,1) and connect it what a straightedge.

After graphing the lines by hand you can actually do an algebraic check to see if they are parallel (same slopes), perpendicular (opposite reciprocal slopes), or neither.

Let's find the slope by lining up the points and subtracting then putting 2nd difference over 1st difference.

So the points on line 1 are: (5/3,0) and (0,-5/2)

 (5/3 ,  0  )

- (0   ,-5/2)

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

5/3       5/2

The slope is (5/2)/(5/3)=(5/2)*(3/5)=3/2.

The points on line 2 are: (-2/3,0) and (0,1)

 (-2/3 , 0)

- (   0  ,  1)

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

 -2/3      -1

The slope is -1/(-2/3)=-1*(-3/2)=3/2.

The slopes are the same so they are parallel. The line lines are definitely not the same; if you multiply the top equation by -3 you get -9x+6y=-15 which means the equations are not the same.  Also they had different x- and y-intercepts.  So these lines are parallel.

This is what we should see in our picture too.

The lines 3x - 2y = 5 and 6y - 9x = 6 are parallel lines

How to find if the lines are parallel

The lines 3x - 2y = 5 and 6y - 9x = 6 are parallel lines if their their slopes are equal

Lets rewrite the equation to be in slope intercept form: y = mx + b. where m is the slope

3x - 2y = 5

2y = 3x - 5

y = 3x/2 - 5/2. slope is 3/2

6y - 9x = 6

6y = 9x + 6

y = 3x/2 + 1. slope is 3/2

Comparing the equations with equal slope of 3/2, and from the graph shows that they are parallel lines

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Is ABC a right triangle? How do you know?

Answers

Answer:

Option A There is not enough information to determine

Step-by-step explanation:

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

You must calculate the slope of the AB segment and the BC segment, however the coordinates of the vertices are not known.

therefore

There is not enough information to determine

What is 1(y), when y = -5/8

Answers

That's easy.

[tex]1\cdot-\dfrac{5}{8}=-\dfrac{5}{8}[/tex]

Hope this helps.

r3t40

which of the following is the quotient of the rational expressions shown below x-2/x+3 divided by 2/x

Answers

Answer:

2x^2+4x/3x-3

Step-by-step explanation:

ape.x

The quotient of (x-2)/(x+3) divided by 2/x is (x² - 2x)/(2x + 6), which corresponds to option D. This is achieved by multiplying the first fraction by the reciprocal of the second fraction and then simplifying.

To find the quotient of (x-2)/(x+3) divided by 2/x, we'll follow these steps:

Rewrite the division of fractions as multiplication by the reciprocal. This means:(x-2)/(x+3) ÷ (2/x) = (x-2)/(x+3) * (x/2)Multiply the numerators and multiply the denominators:((x-2) * x) / ((x+3) * 2) = (x(x-2)) / (2(x+3))Simplify the expression:(x² - 2x) / (2x + 6)

Looking at the given options, the correct answer is: (x² - 2x) / (2x + 6) (Option D)

The complete question is

which of the following is the quotient of the rational expressions shown below x-2/x+3 divided by 2/x

A. (2x - 4)/(x ^ 2 + 3x)

B. (2x - 2)/(x ^ 2 + 3x)

C. x/(2x + 3)

D. (x² - 2x)/(2x + 6)

What is the median of the following data set?
{5, 2, 9, 7, 4}

5

7

8

9

Answers

The answer is five
1) put the numbers in order
2) find the middle number

Answer:

a

Step-by-step explanation:

A hunter shot 7 ducks. The hunter's dog recovered 5/7 of
the ducks. How many ducks were recovered?​

Answers

There have to be at least 4 ducks recovered

Answer:

5

Step-by-step explanation:

7 ducks=7/7 ducks

7/7-?=5/7

7/7-2/7=5/7

5/7=5 ducks

Complete the table Y=6x-4

Answers

Answer:

With Two points is enough to describe this graph

[tex]\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right][/tex]

Step-by-step explanation:

Interception with Y axis (y=0), thus we have the following equation:

[tex]0=6*x+4[/tex]

[tex]x=4/6[/tex]

The point for this is (4/6 , 0)

Interception with x axis (x=0), thus we have the following equation:

[tex]Y=4*0-4[/tex]

[tex]y=-4[/tex]

The point for this is (0, -4)

Simplify to create an equivalent expression. −y−3(−3y+5)

Answers

Answer:

[tex]\large\boxed{-y-3(-3y+5)=8y-15}[/tex]

Step-by-step explanation:

[tex]-y-3(-3y+5)\qquad\text{use the distributive porerty}\ a(b+c)=ab+ac\\\\=-y+(-3)(-3y)+(-3)(5)\\\\=-y+9y-15\qquad\text{combine like terms}\\\\=(-y+9y)-15\\\\=8y-15[/tex]

the simplified expression is 8y−15

To simplify the expression −y−3(−3y+5), we can start by distributing the negative sign to each term inside the parentheses.

This gives us −y+9y−15. Next, we can combine like terms by adding the coefficients of the y-terms, which gives us 8y.

Finally, we combine the constant terms to get −15.

Therefore, the simplified expression is 8y−15. We simplified the original expression by distributing the negative sign and then combining like terms to obtain a more concise and equivalent expression.

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A circle with a radius of 10 inches is placed inside a square with a side length of 20 inches. Find the area of the circle.

a. 143
b. 400
c. 413
d. 314

Answers

Answer:

d. 314 in²

Step-by-step explanation:

Area of a circle=πr²where r is the radius of the circle.

A=πr²

=π×10²

=314.2 in²

Area of the circle is 314 in² to the nearest square inch.

ANSWER

d. 314

EXPLANATION

The area of a circle is calculated using the formula:

[tex]Area = \pi {r}^{2} [/tex]

It was given in the question that, the circle has radius r=10 units. We substitute this value and π=3.14 into the formula to get,

[tex]Area = 3.14 \times {10}^{2} [/tex]

[tex] \implies \: Area = 3.14 \times 100[/tex]

[tex]Area = 314 \: {in}^{2} [/tex]

The correct answer is D.

Where is the opposite of −10 located on a number line? A) to the left of 0 B) to the right of 0 C) to the right of 12 D) to the left of −10

Answers

Answer:

B. to the right of 0

Step-by-step explanation:

the opposite of -10 would be 10 and out of all the answer choices the number 10 only fits into B.

Answer:

B to the right of zero why? ITS COMMON SENSE!

Step-by-step explanation:

Select the values that are solutions to the inequality x2 + 3x – 4 > 0.

Answers

The solutions to the inequality x^2 + 3x - 4 > 0 are all real numbers where x is less than -4 or greater than 1, represented by the intervals (x < -4) or (x > 1).

To find the values that are solutions to the inequality x2 + 3x - 4 > 0, we first need to determine the roots of the quadratic equation x2 + 3x - 4 = 0. We can do this either by factoring, completing the square, or using the quadratic formula. In this case, factoring is the simplest approach:

x2 + 4x - x - 4 = 0

(x + 4)(x - 1) = 0

Therefore, the roots are x = -4 and x = 1. Since it is a parabola opening upwards (the coefficient of x2 being positive), the inequality x2 + 3x - 4 > 0 holds true when x is either less than -4 or greater than 1.

The solution set is thus all real numbers outside the interval [-4, 1], which can be written as (x < -4) or (x > 1).

Help me with this question

Answers

Answer: Base.

The exponent is the 2, and the 5 is the base.

Answer:

Step-by-step explanation:

The five is the base. The two tells you what to do with the base.

5^2 = 5 * 5 = 25.

Notice what you are told. The 2 tells you to use two fives. The ^ in this case means multiply.

Scientists released 6 rabbits into a new habitat in year 0. Each year, there were four times as
many rabbits as the year before. How many rabbits were there after x years? Write a function
to represent this scenario.

Answers

The function that represents the given scenario is; f(x) = 6(4)ˣ

How to create an exponential growth function?

We know the general formula for this population function is;

f(x) = abˣ

where;

a is initial population

b is the common ratio

x is number of years

We are given;

a = 6

b = 4

Thus;

f(x) = 6(4)ˣ

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Which description does NOT guarantee that a quadrilateral is a kite?

A two distinct pairs of congruent adjacent sides

B perpendicular diagonals

C perpendicular diagonals, exactly one of which bisects the other

D one diagonal bisects opposite angles and the other diagonal does not

Answers

Answer:

D one diagonal bisects opposite angles and the other diagonal does not

Option D, 'one diagonal bisects opposite angles and the other diagonal does not,' does NOT guarantee that a quadrilateral is a kite.

To determine if a quadrilateral is a kite or not based on its properties.

A quadrilateral is a kite if and only if its diagonals are perpendicular and exactly one of them bisects the other diagonal. Let's analyze the given options:

If a quadrilateral has two distinct pairs of congruent adjacent sides, it is not necessarily a kite.If a quadrilateral has perpendicular diagonals, it is one condition for it to be a kite, so this option could guarantee a kite.If a quadrilateral has perpendicular diagonals, exactly one of which bisects the other, it guarantees a kite.If one diagonal bisects opposite angles and the other diagonal does not, it is not sufficient to guarantee a kite.

Therefore, option D, 'one diagonal bisects opposite angles and the other diagonal does not,' does NOT guarantee that a quadrilateral is a kite.

Which of the following options is a polynomial with a root 2i and exactly 2
real roots?

Answers

Answer:

B. [tex]f(x)=x^4-x^3+2x^2-4x-8[/tex]

Step-by-step explanation:

If [tex]2i[/tex] is a root of f(x), then the complex conjugate [tex]-2i[/tex] is also a solution. If f(x) should have exactly 2 real roots, then by the Fundamental Theorem of Algebra, the minimum degree of f(x) is 4.

Hence the first and last options are eliminated.

By the Remainder Theorem, [tex]f(2i)=0[/tex].

Let us check for options B and C.

For option B.

[tex]f(x)=x^4-x^3+2x^2-4x-8[/tex]

[tex]\implies f(2i)=(2i)^4-(2i)^3+2(2i)^2-4(2i)-8[/tex]

[tex]\implies f(2i)=16i^4-8i^3+8i^2-8i-8[/tex]

[tex]\implies f(2i)=16+8i-8-8i-8=0[/tex]

For option C

[tex]f(x)=x^4-x^3-6x^2+4x+8[/tex]

[tex]\implies f(2i)=(2i)^4-(2i)^3-6(2i)^2+4(2i)+8[/tex]

[tex]\implies f(2i)=16i^4-8i^3-24i^2+8i+8[/tex]

[tex]\implies f(2i)=-16+8i+24+8i+8\ne0[/tex]

Therefore the correct choice is B.

What is 12% of 4? Explain and Show your work

Answers

Answer:

0.48

Step-by-step explanation:

convert the percent to a decimal

12%=0.12

multiply 4 by 0.12

you're left with 0.48

you can check your math by dividing .48/.12, which will give you 4

To solve this you must use a proportion like so...

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

12 is a percent and percent's are always taken out of the 100. This means that one proportion will have 12 as the part and 100 as the whole

We want to know what is 12% of the number 4. This means 4 is the whole and the unknown (let's make this x) is the part.

[tex]\frac{x}{4} =\frac{12}{100}[/tex]

Now you must cross multiply

x*100 = 4*12

100x = 48

Now isolate x divide 100 to both sides

100x/100 = 48/100

0.48 = x

This means that 12% of 4is 0.48

Hope this helped!

~Just a girl in love with Shawn Mendes

PLEASE HELP FAST!!!!
A man goes fishing in a river and wants to know how long it will take him to get 10km upstream
to his favourite fishing location. The speed of the current is 3 km/hr and it takes his boat twice
as long to go 3km upstream as is does to go 4km downstream. How long will it take his boat to
get to his fishing spot?

Answers

Answer:

Time = 25/9 hr

Step-by-step explanation:

Let speed of boat in still water is x km/hr

then, speed in downstream equals to "x + 3"km/hr

and speed in upstream equals to "x - 3" km/hr

We also know that time taken to travel 3km in upstream is twice as time taken to travel 4km in downstream.

so,  using time = distance/speed

              3/x- 3   = 2 × (4/x + 3)

                3x + 9 = 8x -24

                    5x = 33

                      x = 33/5 km/hr

Net speed in upstream = 33/5 - 3 = 18/5 km/hr

So, Time taken to travel 10km upstream = distance /speed

                      =  (10 × 5) / 18 = 25/9 hr

Time = 25/9 hr

The boat speed in still water is determined to be 6.6 km/hr, and it will take around 2.78 hours to travel 10 km upstream.

To determine how long it will take the man to travel 10 km upstream to his favorite fishing location, let's first define the boat speed in still water as v km/hr.

From the problem, we know:

The speed of the current is 3 km/hr.

It takes twice as long to travel 3 km upstream as it does to travel 4 km downstream.

The speed of the boat upstream relative to the shore is v - 3 km/hr, and downstream it is:

→ v + 3 km/hr.

Let t be the time it takes to travel 4 km downstream. Then time to travel 3 km upstream is 2t.

We can set up the following equations using distance = speed x time:

→ For downstream: 4 = (v + 3)t

→ For upstream: 3 = (v - 3)2t

Solve these equations:

→ From 4 = (v + 3)t, we have t = 4/(v + 3)

Substitute t in 3 = (v - 3)2t: 3 = (v - 3)2(4/(v + 3))

→ Simplify: 3(v + 3) = 8(v - 3)

→ Expand and solve for v: 3v + 9 = 8v - 24

→ 33 = 5v

→ v = 33/5

     = 6.6 km/hr

Now that we know the speed of the boat in still water is 6.6 km/hr, we can determine the time it takes to travel 10 km upstream:

→ The effective speed upstream is:

= 6.6 - 3

= 3.6 km/hr.

→ Time required to travel 10 km upstream is:

= 10 / 3.6

≈ 2.78 hours.

Built in 1599, the Globe Theatre was home to William Shakespeare and his performing company, The Lord Chamberlain’s Men. It was a circular amphitheater that stood 3-stories tall and had a diameter of 100 feet. What formula can you use to calculate the distance around the theatre?

Answers

Answer:

C = pi * d formula

C = 314 ft

Step-by-step explanation:

To find the distance around the theatre, we want to use circumference.

C= 2 * pi *r  where r is the radius

or

C = pi * d  where d is the diameter

C = pi *100

C = 100pi

Using 3.14 as an approximation for pi

C = 3.14*100

C = 314 ft

the width of the credit card is 5.6 CM what is in millimeters​

Answers

Answer: 56

Step-by-step explanation:

For this case we must make a conversion of centimeters to millimeters. By definition we have to:

1 cm equals 10 mm

By making a rule of three we have:

1 cm ---------> 10 mm

5.6 cm --------> x

Where "x" represents the quantity in millimeters.

[tex]x = \frac {5.6 * 10} {1} = 56[/tex]

Thus, we have that 5.6 centimeters equals 56 millimeters.

Answer:

56mm

Which of the following is not a whole number followed by its square?
A. 11, 121
B. 13, 169
C. 15, 205
D. 8, 64
E. 2, 4

Answers

Answer:

C 15, 205.

Step-by-step explanation:

That would be C because 15^2 = 225. The others are all correct.

The whole number not followed by its square is (c) 15, 205

How to determine the whole number?

The square of a number x can be represented as:

y = x^2

Using the above equation, we have:

121  = 11^2 --- true

169  = 13^2 --- true

205  = 15^2 --- false

64  = 8^2 --- true

4  = 2^2 --- true

Hence, the whole number not followed by its square is (c) 15, 205

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Which linear inequality is graphed with y>-x-2 to create the given solution set?

Answers

Answer

D

Step-by-step explanation:

just toke the test

What is the area of the composite figure O120 O100 O110 O90

Answers

Total area is 110 square meter

Answer:

140

Step-by-step explanation:

308% is what percent of 530?

Answers

Answer:

58%

Step-by-step explanation:

you write it as

308= ? (because you dont know what percent of 530 is yet) x 530

so it should look like 308=?x530

then divide on both sides and then turn your answer into a percentage.

What is the answer to 6x2-54x/x-9*7x/6x

Answers

Answer:

[tex]\large\boxed{\dfrac{6x^2-54x}{x-9}\cdot\dfrac{7x}{6x}=7x}[/tex]

Step-by-step explanation:

[tex]\dfrac{6x^2-54x}{x-9}=\dfrac{6x(x-9)}{x-9}=6x\qquad\text{canceled}\ (x-9)\\\\\dfrac{7x}{6x}=\dfrac{7}{6}\qquad\text{canceled}\ x\\\\\dfrac{6x^2-54x}{x-9}\cdot\dfrac{7x}{6x}=6x\cdot\dfrac{7}{6}=7x\qquad\text{canceled 6}[/tex]

Eighty percent of the students in a class (group A) share 40% of the candy equally. The remaining 20% of the students (group B) share the other 60% of the candy equally. The ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to what common fraction?

Answers

Answer:

1/6

Step-by-step explanation:

There is x candy in total and y students in total.

Group A consists of 0.8y students, and group B consists of 0.2y students.

Group A gets 40% of x, or 0.4x. Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.

Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.

The ratio of candy each student in group A has to the amount of candy each student in group B has is:

(0.5x/y)/(3x/y) = 0.5/3 = 1/6

The ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to 1/6

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Eighty percent of the students in a class (group A) share 40% of the candy equally.

The remaining 20% of the students (group B) share the other 60% of the candy equally.

We need to find the common fraction between Group A and group B if ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal

Let the total number of candy's are x

The total number of students are y.

The number of students in group A=0.8y

The number of students in group B=0.2y

Group A gets 40% of x, or 0.4x.

Each student in group A gets 0.4x/(0.8y) = 0.5x/y candy per person.

Group B gets 60% of x, or 0.6x. Each student in group B gets 0.6x/(0.2y) = 3x/y candy per person.

The ratio of candy each student in group A has to the amount of candy each student in group B has is:

(0.5x/y)/(3x/y) = 0.5/3 = 1/6

Hence, the ratio of the amount of candy a student in group A has to the amount of candy a student in group B has is equal to 1/6

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16. When Laura finishes cooking, her oventemperature is 400F. If her oven cools at a rate of3.25F per minute, how many minutes will it takefor her oven to reach 75F? Enter your response inthe gridded area.DW what is an endangered species? Three consecutive multiples of 7 have a sum of 84. What is the greatest these numbering?A. 7B. 21C. 35D. 42 This net can be folded to form a cube with a side length of 20 units. find the domain for the function f(x)=sqrt x^2-x+6 A Halloween trick-or-treat group consists of 3 Trolls, 4 Nazguls, 4 Ents, and 5 Pokemon. A committee of 4 is to be picked to represent the group at the Monster Bash. (a) Find the probability that the committee will consist of 1 from each type of monster. (b) Suppose that the Pokemon refuse to be on the same committee as a the Trolls. Find the probability that this type of committee is formed. Help me with 5 down and 7 across pleas epleas e If work is constant, power increases as time increases.a. Trueb. False How do I go about solving this? You mix 10 mL glycerol and 90 mL water to obtain a 10% glycerol solution. The density of the mixture is mix = 1.02567 g/cm. What are the mole fraction of glycerol and the volume of the mixture? What is the reason for the volume change? Mm(glycerol) = 92.09 g/mol, Mm(H2O) = 18 g/mol, (glycerol) = 1.25802 g/cm3, (H2O) = 0.99708 g/cm3. For the reaction 2AgNO3+Na2CrO4Ag2CrO4+2NaNO3 how many grams of sodium chromate, Na2CrO4, are needed to react completely with 45.5 g of silver nitrate, AgNO3? On July 15, 2004, NASA launched the Aura spacecraft to study the earth's climate and atmosphere. This satellite was injected into an orbit 705 km above the earth's surface, and we shall assume a circular orbit.(a) How many hours does it take this satellite to make one orbit?h(b) How fast (in km/s) is the Aura spacecraft moving?km/s What is the only genotype of two parents that would ensure that their offspring could not roll their tongue Woidtke Manufacturing's stock currently sells for $29 a share. The stock just paid a dividend of $2.60 a share (i.e., D0 = $2.60), and the dividend is expected to grow forever at a constant rate of 6% a year. (a) What stock price is expected 1 year from now? Do not round intermediate calculations. (b) What is the estimated required rate of return on Woidtke's stock? Round your answer to the nearest cent. What is the amplitude, period, and phase shift of f(x) = 3 sin(4x ) 5? Amplitude = 3; period = 2; phase shift: x equals pi over four Amplitude = 3; period = pi over two; phase shift: x equals pi over four Amplitude = 3; period = 2; phase shift: x equals negative pi over four Amplitude = 3; period = pi over two; phase shift: x equals negative pi over four In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 90% confident that your sample mean is within 13 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 228 min A student conducts an experiment to see how music affects plant growth. The student obtains four identical plants. Each one is potted in the same type of soil and receives the same amount of sunlight and water each day. Plant A listens to classical music for three hours each day, Plant B listens to rock music for three hours each day. Plant C listens to country music for three hours each day. Plant D does not listen to any music at all. 3. Based on the experiment in the scenario, which visual aid would be most helpful in showing he change in plants heights over time? Which way does air flow when alveolar pressure is greater than atmospheric pressure?a. into the lungs, called expirationb. out of the lungs, called inspirationc. into the lungs, called inspirationd. out of the lungs, called expiration Define the work Envelope for a Robot Action potential propagation in a skeletal muscle fiber ceases when acetylcholine is removed from the synaptic cleft. Which of the following mechanisms ensures a rapid and efficient removal of acetylcholine?