the billy bob landed on the coordinate plane at (-3,3 ), bertha landed at ( 1,0 ). how far did billy bob land from bertha

Answers

Answer 1

Answer:

5 units

Step-by-step explanation:

The distance from -3 to 1 is 4 and the distance from 3 to 0 is 3.  Use the Pythagorean Theorem.  

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]4^{2}[/tex] + [tex]3^{2}[/tex] = [tex]c^{2}[/tex]

16 + 9 = [tex]c^{2}[/tex]

25 = [tex]c^{2}[/tex]

[tex]\sqrt{25}[/tex] = [tex]\sqrt{c^{2} }[/tex]

5 = c

Helping in the name of Jesus.


Related Questions

annual student fees at the University of California rose from about $4,000 in 2000 about $9,000 and 2014 find the percent increase 

Answers

The percent increase in the annual student fees at the University of California between 2000 and 2014 is 125%.

What is percentage?

Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".

To find the percent increase, we need to calculate the difference between the two amounts and then divide that difference by the original amount, and finally multiply by 100 to express the result as a percentage.

The difference between the final amount ($9,000) and the initial amount ($4,000) is $5,000.

So the percent increase can be calculated as follows:

Percent increase = (difference / original amount) x 100%

= ($5,000 / $4,000) x 100%

= 125%

Therefore, the percent increase in the annual student fees at the University of California between 2000 and 2014 is 125%.

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Yadira'smom is buying hot dogs and hot dog buns for the family barbecue.
Hot dogs come in packs of 12 and hot dog buns come in packs of 9.
The store does not sell parts of a pack and Yadira's mom wants the same
number of hot dogs as hot dog buns.
What is the smallest total number of hot dogs that Yadira's mom can
nurchase?

Answers

Step-by-step explanation:

To find the smallest total number of hot dogs that Yadira's mom can purchase, we need to find the least common multiple (LCM) of 12 and 9, since she wants the same number of hot dogs as hot dog buns.

The multiples of 12 are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

The least common multiple of 12 and 9 is 36, since it is the smallest number that appears in both lists. Therefore, Yadira's mom should purchase 36 hot dogs (3 packs of 12) and 36 hot dog buns (4 packs of 9) for the family barbecue.

solve for x. round to the nearest tenth

Answers

Use the sine of 38
Sine is opposite over adjacent - 13/x
Use a scientific calculator to find value of sine 38 degrees
Sine of 38 degrees = 13/x and then solve for x

sean prefers apples to clementines, and he prefers clementines to pears. if sean is rational, what would he choose if offered pears or apples?

Answers

Sean would choose apples over pears if he were offered both, based on his preference order of apples > clementines > pears and the assumption that his preferences are transitive.

Sean's preference order for fruits is: apples > clementines > pears. As a rational decision-maker, Sean would choose the option that he prefers the most. In this case, since he prefers apples over clementines and pears, if he were offered pears or apples, he would choose apples.

This decision is based on the assumption that Sean's preferences are transitive, meaning that if he prefers A to B and B to C, then he would prefer A to C. Therefore, choosing apples over pears is the most rational decision for Sean, based on his given preference order.

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Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 228 rounds. At what rate has Ashley ridden her horse in rounds per hour? A. 39 rounds per hour B. 38 rounds per hour C. 37 rounds per hour D. 40 rounds per hour

Answers

Answer:

the answer is B. 38 rounds per hour.

(Trig word problems)

Charlotte wants to use a sheet of fiberboard 34 inches long to create a skateboard ramp with a 20° angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.

Answers

Answer:

The ramp will rise 11.6 inches from the ground at its highest end.

11.6 in.

Step-by-step explanation:

In this example we can use the sine function to determine how high the ramp will rise from the ground.

The definition of the sine function is

[tex]\sf \sin x= \dfrac{opposite}{hypotenuse}[/tex]

[tex]\sf \sin x= \dfrac{O}{H}[/tex]

In this case we are looking to evaluate the length of the opposite side.

We can rearrange the equation to isolate [tex]\sf O[/tex].

Multiply both sides of the equation by [tex]\sf H[/tex].

[tex]\sf H \cdot \sin x= \dfrac{O}{H} \cdot H[/tex]

Cancel the common factor of [tex]\sf H[/tex] on the right side leaves us with

[tex]\sf H \cdot \sin x= \dfrac{O}{\diagup \!\!\!\! H} \cdot \diagup \!\!\!\! H[/tex]

[tex]\boxed{\sf O= H \cdot \sin x}[/tex]

Numerical Evaluation

In this example we are given

[tex]\sf x=20\\\sf H=34[/tex]

Substituting our given values into the equation yields

[tex]\sf O= 34\cdot \sin 20[/tex]

[tex]\sf O=11.628685[/tex]

Rounding to the nearest tenth

[tex]\sf O=11.6[/tex]

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Complete the steps to solve the equation 2x2 + 12x-42=0 by completing the square.
2x² + 12x-42 = 0

Answers

Answer:

2(-3±√120)

Step-by-step explanation:

quadratic formula

Please help! Urgent ​

Answers

Cartridges come in different sizes and shapes, and the amount of liquid ink

They can hold varies depending on the model and manufacturer.
Of course, I am here to help.

However, to better assist you, I will need more information regarding your urgent situation.
Once I have a better understanding of your situation, I can provide you with a more tailored and effective response.

In the meantime, I recommend taking a few deep breaths and staying calm.

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PLEASE HELP I NEED THIS ASAP PLS

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

Part A: Describe two types of transformations that can be used to transform f(x) to g(x).

Part B: Solve for k in each type of transformation.

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

A. The two types of transformations that can be used to transform f(x) to g(x) are translation and reflection.

B. The value for k in the transformation is -6.

C. The equation for transforming is g (x) = f (x) - 6.

What is transformation?

Shapes on a coordinate plane can be translated, rotated, and reflected using transformations. You can rotate, translate, or reflect any line, point, or vector.

A. The two types of transformations that can be used to transform f(x) to g(x) are translation and reflection.

Translation means shifting the graph left, right, up or down.

Reflection means creating a mirror image over x - axis or y - axis.

B. Both the transformations will have the same k value.

The graph g (x) is the translation of f (x) towards left with 6 units.

So, the value of k is -6.

C. The equation for transformation is as follows:

⇒ g (x) = f (x) + k

⇒ g (x) = f (x) - 6

Hence, the required solutions have been obtained.

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can someone please help me solve this?! it’s homework so it’s urgent!

Answers

Answer:

31

Step-by-step explanation:

assume a normally distributed test has a mean of 100 and standard deviation of 7. what probability of a score greater than 115? group of answer choices 1.62% 48.38% 98.38% 51.62%

Answers

If the test is normally distributed, then the probability of a score greater than 115 is (a) 1.62%.

In order to find probability of a score greater than 115 in a normally distributed test with a mean of 100 and standard deviation of 7,

First, We have to calculate z-score for 115, and

The z-score formula is ⇒ z = (x - μ)/σ,

where x = score of interest, μ = mean, and σ = standard-deviation.

In this case, we have x = 115, μ = 100, and σ = 7.

The z-score for 115 is ⇒ z = (115 - 100)/7 = 2.14

By using the normal table :

⇒ P(Z > 2.14) = 0.0162

Therefore, the required probability is 0.0162 or 1.62%, the correct option is (a) 1.62%.

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The given question is incomplete , the complete question is

Assume a normally distributed test has a mean of 100 and standard deviation of 7. What probability of a score greater than 115?

(a) 1.62%

(b) 48.38%

(c) 98.38%

(d) 51.62%

what is 1 and 2/3 simplified

Answers

Answer:

The improper/exact form=5/3 and the decimal form is 1.(6) (which is the 6 repeated)

Step-by-step explanation:

Technically, you can't simplify 1 2/3, but these are just two ways you could change it into.

What is the product of 35.263 + 0.29

Answers

Answer: 35.553

Step-by-step explanation:

PLs help with this one yallllll

Answers

Answer:

yes, because 6 is less than 11

Step-by-step explanation:

Hope this helps!!
Mark me brianliest and good luck!!

The salesman has observed that many students are looking for cars that cost less
than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?

Answers

A distribution that includes more vehicles sold at lower prices and may deviate from the initial distribution as a result of the inclusion of vehicles priced under $5,000.

What is distribution?

A distribution in statistics is a function that identifies all potential values for a dataset together with their frequencies or probabilities. The normal distribution, the binomial distribution and the Poisson distribution are just a few examples of frequent distribution types. Data are described and analyzed using distributions, which may offer significant insights about a dataset's central tendency, variability, and form.

The distribution will be impacted in a number of ways if the salesperson decides to also offer automobiles that cost less than $5,000 and forecasts selling 200 of them over the next ten years. In particular, it will

Growth in vehicle sales: Over the next 10 years, more vehicles under $5,000 will be sold, increasing the overall vehicle sales.

Change the distribution of prices towards lower values: By selling more automobiles at lower prices, the introduction of more affordable vehicles will change the price distribution towards lower values.

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A soccer couch bought eight soccer balls.This line plot shows the weight of each ball the couch bought?

Answers

The weight of the soccer balls bought by the coach is 40.18 pounds. therefore, option a.40.18 is correct.

To determine the weight of the soccer balls the coach bought, we need

to analyze the given line plot. The line plot shows the weight of each of

the 11 soccer balls bought by the coach.

The first step is to find the scale of the line plot. In this case, the scale is

in pounds, and the plot ranges from 0 to 8 pounds. Each "x" on the plot

represents one soccer ball, and the height of the "x" shows the weight of

that ball in pounds.

To find the total weight of the soccer balls bought by the coach, we

simply need to add up the weights of all the balls. Looking at the line

plot, we can see that there are:

2 balls that weigh 1 pound each

1 ball that weighs 3 pounds

1 ball that weighs 2 pounds

1 ball that weighs 5 pounds

1 ball that weighs 3.7 pounds

1 ball that weighs 8 pounds

2 balls that weigh 4 pounds each

1 ball that weighs 8.48 pounds

Adding all these weights together, we get:

1 + 1 + 3 + 2 + 5 + 3.7 + 8 + 4 + 4 + 8.48 = 40.18 pounds

Therefore, the weight of the soccer balls bought by the coach is 40.18 pounds.

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Question

A soccer couch bought eight soccer balls. This line plot shows the weight of each ball the couch bought?

what is the total weight, in pounds, of all the soccer balls the coach bought?                                                                                            

a. 40.18    b. 60  c. 30    d. 20

Sam can paint a house in 3 days. With Clark's help, Sam can paint
the same house in 1.2 days. How long would it take Clark to paint
the house on his own?
(A) 2 days
(B) 0.86 days
(C)1.8 days
(D) 4 days

Answers

Answer:

C

Step-by-step explanation:

Because 1.2+1.8 equal to 3.

Three ballet dancers are positioned on stage. Max is 2 feet straight behind Kenji and 4 feet directly left of Lindsey. When the music begins, Max twirls to Lindsey's position, then leaps to Kenji's position, and finally walks back to his original position. How far did Max travel? If necessary, round to the nearest tenth.

Answers

Answer: 8.5 feet

Step-by-step explanation:

To determine how far Max traveled, we can use the Pythagorean theorem to find the distances between the points.

Max twirls to Lindsey's position:

Since Max is 2 feet behind Kenji and 4 feet left of Lindsey, Max and Lindsey form a right triangle with legs of 2 feet and 4 feet. Using the Pythagorean theorem:

a² + b² = c²

2² + 4² = c²

4 + 16 = c²

20 = c²

Taking the square root of both sides:

c = √20 ≈ 4.47 feet (rounded to the nearest tenth)

Max leaps to Kenji's position:

Since Max was initially 2 feet behind Kenji, the distance between Lindsey and Kenji is also 2 feet.

Max walks back to his original position:

The distance between Max's original position and Kenji's position is 2 feet.

Adding up the distances:

4.47 feet (Max to Lindsey) + 2 feet (Lindsey to Kenji) + 2 feet (Kenji to Max's original position) = 8.47 feet

So, Max traveled approximately 8.5 feet (rounded to the nearest tenth) during his movements.

The distance Max traveled can be found by calculating the distance of each movement he makes and adding them up. First, we need to use the Pythagorean theorem to calculate the distance between Lindsey and Max:

sqrt(4^2 + 2^2) = sqrt(16 + 4) = sqrt(20) = 2*sqrt(5)

So, Max travels 2*sqrt(5) feet to get to Lindsey's position. Next, he travels the distance between Kenji and Lindsey, which is 4 feet:

distance = 4

Finally, he travels in a straight line back to his original position, which is 2 feet straight behind Kenji:

distance = 2

Adding these distances together, we get:

2*sqrt(5) + 4 + 2 = 2*sqrt(5) + 6

Rounding to the nearest tenth gives us a final answer of approximately 8.5 feet.

here's another one we're doing

Answers

When we simplify an equatiοn and end up with a cοntradictiοn like this, it means that the equatiοn has nο sοlutiοn.

What is system οf linear equatiοns?

The intersectiοns οr meetings οf the lines οr planes that represent the linear equatiοns are knοwn as the sοlutiοns οf linear equatiοns. The set οf values fοr the variables in every feasible sοlutiοn is knοwn as a sοlutiοn set fοr a system οf linear equatiοns.

Nοt a Sοlutiοn

If there is nο intersectiοn οf any lines, οr if the graphs οf the linear equatiοns are parallel, then the system οf linear equatiοns cannοt be sοlved.

The equatiοn 5 + 9z = 9z can be simplified as fοllοws:

5 + 9z = 9z

5 = 0

This is a cοntradictiοn since 5 cannοt be equal tο 0. Therefοre, there is nο sοlutiοn fοr this equatiοn.

In general, when we simplify an equatiοn and end up with a cοntradictiοn like this, it means that the equatiοn has nο sοlutiοn.

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a tire for a car is 22 inches in diameter. if the car is traveling at a speed of 90 mi/hr, find the number of revolutions the tire makes per minute.

Answers

The total number of revolutions per minute tire makes when the car is traveling at a speed of 90 mi/hr and the tire has a diameter of 22 inches is equal to approximately 1375.09.

Diameter of a car tire = 22 inches

Speed of a car = 90mi/hr

Let us first convert the speed from miles per hour to inches per minute,

Since the diameter of the tire is given in inches.

90 mi/hr

= 90 × 5280 ft/hr

= 475200 ft/hr

= 475200 × 12 in/hr

= 5,702,400 in/hr

= 95,040 in/min

Number of revolutions the tire makes per minute,

Distance the tire travels in one revolution.

The circumference of a circle is given by,

C = πd

where C is the circumference and d is the diameter.

So the distance the tire travels in one revolution is,

d = π(22 in)

  = 69.115 in

Now, the number of revolutions per minute  is ,

=distance traveled per minute / distance traveled in one revolution

⇒ revolutions per minute = 95,040 in/min / 69.115 in/rev

⇒revolutions per minute ≈ 1375.09 rev/min

Therefore, the tire makes approximately 1375.09 revolutions per minute with tire of diameter of 22 inches.

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A family is purchasing concrete in order to create a foundation for a rectangular outdoor patio. The rectangular patio is to be 30-feet wide and 17-feet long. To meet specifications, the concrete must be poured to a depth of .25 feet. Large amounts of concrete can be purchased by the cubic foot. How many cubic feet of concrete will it take to construct the patio? Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

L X W X D = cubic feet volume

17 X 30 X .25 = 127. 5  ft^3

3) Texas enforces a 6% sales tax on items $75 and over. What would be a) the total tax and b)) the total cost on a purchase of items that cost $64, $78, $102 and $28 helppp pls ​

Answers

a) 64: NO TAX , 78: 4.20 , 102: 6.12 , 28: NO TAX

b) 64 , 78; 82.20 , 102: 108.12 , 28

write the expression in exponential form using a rational exponent. 3sqrt2^4

Answers

As a result, 12 is the exponential expression employing a rational exponent.

Define Logic exponent?

An exponent of a fraction or rational number is said to have a rational exponent. With x as the base, p as the power, and q as the root 21, it may be represented as x(p/q). It can be transformed into the corresponding radical form,

for example, x(p/q) = (x(1/q))p = qxp 21. Similar rules apply to rational exponents and integer exponents 1.

With a rational exponent, the expression 3√24 can be expressed exponentially as follows:

3√2⁴= 3(2²)

= 3(2²) = 12

As a result, 12 is the exponential expression employing a rational exponent.

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what is the length of the line

Answers

Step-by-step explanation:

rise = height = 5 units     run = base = 2

Use Pythagorean theorem

   L^2 = 5^2 + 2^2

     L^2 = 29

     L = sqrt (29)

Marcus saw the factorization shown below in his textbook, but part of the factorization was covered by a drop of ink. What expression was covered by the drop of ink?

​-24x^5-16x^3=-8x^3(?+2)

Answers

The missing expression that was covered by the drop of ink is simply 3[tex]x^{2}[/tex].

What is Algebraic expression ?

An algebraic expressiοn is a statement in mathematics that can cοntain variables, integers, οperatοrs (including additiοn, subtractiοn, multiplicatiοn, and divisiοn), as well as grοuping symbοls like brackets.

The given expression is:

-24[tex]x^{5}[/tex] - 16[tex]x^{3}[/tex] = -8[tex]x^{3}[/tex] (? + 2)

To find the missing expression, we need to isolate the unknown factor, denoted by the question mark (?). We can begin by factoring out the common term of -8x³ from the left side of the equation:

-8[tex]x^{3}[/tex](3[tex]x^{2}[/tex] + 2) = -8[tex]x^{3}[/tex](? + 2)

Now, we can divide both sides by -8[tex]x^{3}[/tex], which gives:

3[tex]x^{2}[/tex] + 2 = ? + 2

Subtracting 2 from both sides yields:

3[tex]x^{2}[/tex] = ?

Therefore, the missing expression that was covered by the drop of ink is simply 3[tex]x^{2}[/tex].

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your house is located at (0,0) to get from your house to school, you walk 2 blocks east and 1 block south. what ordered pair corresponds to the location of your school? b.

Answers

The ordered pair of the location of the school from the house is found to be (2,1).

It is said that the house is located at (0,0).

We can assume this point to be the origin so we can see that the house is located at the origin and the school is located 2 blocks east and one block south.

Now in the ordered pair the first term represents the X co-ordinate and the second term represents the Y co-ordinate.

As we are moving to the right we can say that we are moving towards the positive x axis and we are moving 1 block south, we can say that we are moving towards the positive y axis.

Han the corresponding ordered pair to the location of the school will be (2,1).

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why does it make sense that fraction are about division?​

Answers

Answer:

Step-by-step explanation:

Fractions represent a division problem where the numerator is divided by the denominator. For example, the fraction 3/4 represents the division of 3 by 4, which can be written as 3 ÷ 4. This is why it makes sense that fractions are about division.

Furthermore, fractions are used to represent parts of a whole or a group. When we divide a whole into equal parts, we are essentially dividing the whole into groups, with each group having the same size. For example, if we divide a pizza into 8 equal slices, each slice represents 1/8th of the pizza. We can also think of this as dividing the pizza into 8 equal groups, with each group having one slice.

Therefore, fractions are a natural way to represent division, as they allow us to express how many parts we have out of a whole or a group, and how big each part is relative to the whole or group.

The vector u has magnitude 3 and direction 160°. If vector v = 2u, then what is
the magnitude and direction of vector v?

Answers

In response to the stated question, we may state that As a result, vector v has a magnitude of 6 and a direction of 160°.

What is Vector?

A vector in mathematics is a mathematical object with both magnitude (or length) and direction. Vectors are frequently depicted as arrows, with the length of the arrow representing the magnitude and the direction of the arrow representing the vector's direction. A vector, for example, might represent an object's velocity, where the magnitude of the vector indicates the object's speed and the direction of the vector represents the direction of motion.  

Assuming that u has a magnitude of 3 and a direction of 160°.

Vector u can be represented by its components as follows:

3 cos(160°)i + 3 sin(160°)j = u

where I and j are unit vectors pointing in the x and y directions.

We now know that vector v = 2u, implying that the magnitude of vector v is:

|v| = |2u| = 2|u| = 2(3) = 6

As a result, the magnitude of vector v is 6.

We can use the fact that vector v is in the same direction as vector u but scaled by a factor of two to determine its direction. As a result, the vector v's direction is also 160°.

As a result, vector v has a magnitude of 6 and a direction of 160°.

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Select all the expressions that are equivalent to the number in the picture

Answers

Answer:

The expressions 10³÷10⁷, 10¹²/10¹⁶, and 10⁻²/10² are all equivalent to 10⁻⁴.

Step-by-step explanation:

When dividing exponents with the same base you subtract the exponents.

For visuals, in the equation 10³÷10⁷ it would be 10³⁻⁷ which would be 10⁻⁴ since 3 minus 7 is negative 4.

It is the same thing for 10¹²/10¹⁶, it would be 10¹²⁻¹⁶ which is equal to 10⁻⁴.

The same method can be used for 10⁻²/10² (10⁻²⁻²).

The coordinates of point A are (-6,4). The coordinates of point B are (3, 4). Which expression represents the distance, in units, between points A and B?
A. |-6| + |3|
C. |-6| + |-4|
B. |3| - |-6|
D. |4| - |-6|

Answers

Answer:

a

Step-by-step explanation:

6 - 6=0 the 0-3 -3 total of 9 and 6 + 3 is equal to 9

Other Questions
which statement is true? group of answer choices secondary education refers to schooling completed after high school graduation, such as college or vocational training. no matter where they live, individuals who complete secondary education are healthier. every nation is decreasing the number of students in secondary education. as the age of puberty has increased, some schools of secondary education now start with grade 9. The LIDAR camera displays a beam of light to determine the speed of the car is going. Light travels at 9.84 x 10^8 ft/sec. If it takes the beam 4.5 x 10^-7 to reach the car and return. How far away is the car? (remember divide by 2) [tex]\sqrt{2+-7+2=-3[/tex] While most tribes in North America formed relatively modest-sized towns and nomadic groups, Native Americans in Mesoamerica developed into three huge empires: the Aztecs, the Mayans and the Incas.The Aztec empire was centered in Tenochtitln, an enormous city in the middle of a lake with 100,000 inhabitants. Aztec society consisted of distinct social classes: nobles, peasants and slaves. The Aztecs also had a powerful standing army with a corps of professional warriors whose rank depended on how many prisoners of war they had captured.The Aztecs also engaged in human sacrifice. At times, Aztecs sacrificed 1,000 people per day. 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She'llbe back Saturday, in theevening-about nine o'clock,likely."A. adds drama to the plotB. predicts the futureC. gives details from the past at 4.3 percent interest, how long does it take to double your money? to quadruple it? input area: present value $1 interest rate 4.30% future value $2 future value $4 (use cells a6 to b9 from the given information to complete this question.) output area: periods to double periods to quadruple an atomic cation with a charge of has the following electron configuration: what is the chemical symbol for the ion? how many electrons does the ion have? how many electrons are in the ion? serpse9 13.p.009.wi. two objects attract each other with a gravitational force of magnitude 1.01 10-8 n when separated by 19.7 cm. if the total mass of the two objects is 5.08 kg, what is the mass of each? y=xto the power of 2+4x-12 Explain what it means to "lead up" and what are some characteristics this type of leader should have. Given the picture below as marked find x and y you are planning to start a $30 million vc fund. you have two other partners (three gps in total), and plan to impose a 2 percent management fee and 25 percent carried interest. the fund will have an 8 year life, with the first four years being for finding and making investments ($7.5 million per year) and the second four years for managing and harvesting. on average, your investments will and return 30 percent annually and run for four years, i.e., investments made in year 1 will be harvested in year 5. a. what is the annual management fee per gp? b. how much carried interest will each gp receive in each of the years 5-8? c. what is the lps irr, assuming their full $30 million is put up at time 0? a patient admitted to the emergency department complaining of sudden onset shortness of breath is diagnosed with a possible pulmonary embolus. how should the nurse prepare the patient for diagnostic testing to confirm the diagnosis? 1. In the picture above, how would the amount of kinetic energy in the third pendulum compare to theamount of potential energy in the first and fourth pendulums? how to calculate and discuss how many cans of 7-UP a 70 kg adult would have to drink to reach a toxic dose. 7-UP is toxic at 12,000 mg/kg and a can is 330mL. Note that the literature value is 0.012 M 1) Imagine that you were going to record a podcast that consisted of yourself as the host along with five guests who would form a panel to talk about college admissions. Where would you want to record, and how would you set up your space, including the microphone?2) Imagine that you have been hired to be the director for a professional podcast. The topic is climate change, and this weeks episode will be about a drought in Arizona. Describe one location where you would like to record some of the audio, and detail how and what you would record.3) Describe two features of a digital audio workstation that can be used to enhance a podcast.4) Spend a few moments brainstorming topics for a podcast. What three topics would interest you the most if you were going to record a podcast?5) Imagine that you are creating a podcast with a friend. Your friend wants to include some music that is labelled as not available for reuse. How would you explain to your friend why this is not acceptable? Which statement best explains the purpose of includingthis evidence?O a. It provides links to the negative position and the topicof the debate.O b. It combines diverse ideas to develop a newperspective on an issue.O c. It provides clear and focused points that support theaffirmative position.O d. It contrasts the arguments of the negative positionwith the affirmative position. Use these dictionary entries to answer the question.sum (root word): take [Latin]-er (suffix): a person or thing that does somethingWhat does the word consumer mean in the following sentence?Because of these concerns, many consumers want to know if the food they eat contains GMOs.O an object of monetary valueO a person who sells foodO a label added to productsO a person who eats or uses something