Point s and point t are located at -6, 13 and 8, 13 on the coordinate plane what is the distance between the two points

Answers

Answer 1

Answer:

[tex]14[/tex] units

Step-by-step explanation:

Since both points have the same y-coordinate, we can calculate the distance between them by taking the absolute difference of their x-coordinates. Therefore, the distance between them is [tex]|-6-8|=|-14|=14[/tex] units. Hope this helps!


Related Questions

Triangle ABC Is shown on the coordinate plane.
What is the area of AABC?
OA 22.63 square units
OB. 24 square units
OC 48 square units
OD.
m. All rights reserved
16.97 square units
4
A(4.4)
-6
8-3,-3
6
42
A
42
4
-6-
C(3,3)

Answers

Answer: B

Step-by-step explanation:

Using the distance formula, we get the height is [tex]4\sqrt{2}[/tex].

Similarly, we get the base is [tex]6\sqrt{2}[/tex].

So, the area is [tex]\frac{1}{2}(4\sqrt{2})(6\sqrt{2})=24[/tex]

if the length of a rectangle is decreased by 2cm and the width is increased by 6 cm the result will be a square the area of this square will be 64 cm^2 greater than the area of a rectangle find the area

Answers

The area of the rectangle is 105 square cm

How to determine the rectangle area?

Represent the dimensions of the rectangle with x and y

So, the length of the square would be:

Length = x - 2

Width = y + 6

The areas are then calculated as:

Rectangle = xy

Square = (x -2)(y + 6)

The relationship between the areas is:

(x -2)(y + 6) = 64 + xy

Expand

xy + 6x - 2y - 12 = 64 + xy

This gives

6x - 2y - 12 = 64

Add 12 to both sides

6x - 2y= 76

Divide through by 2

3x - y = 38

By trial by error, we have:

x = 15 and y = 7

The rectangle area is then calculated as:

Rectangle = xy

This gives

Rectangle = 15 * 7

Evaluate

Rectangle = 105

Hence, the area of the rectangle is 105 square cm

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Select all of the following problem situations that involve permutations. How many ways can you arrange 4 of the letters of the word SOLVE if no letter can be used more than once

Answers

There are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.

Given a word of 4 letters of the word "SOLVE".

We are required to find the number of ways the four letters of the word SOLVE if no letter can be used more than once.

Permutation is an arrangement of objects in a definite order of things.

Factorial of a number is the product of it and its lesser numbers upto 1.

Number of letters=4

Number of ways=4!

=4*3*2*1

=24 ways

Hence there are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.

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Step 1: Place the graph paper in landscape orientation. Measure from the top left hand corner 6 inches right and 5 inches down. This will be your starting point for
your diagram.
Step 2: Using a ruler and index card/protractor create an isosceles Right triangle. Drawing the triangles legs 1 inch straight up from the starting point and 1 inch to the
right of the starting point. Connect the endpoints of the two segments to create your right isosceles triangle.
Step 3: On a separate piece of paper, use the Pythagorean Theorem to calculate the length of the hypotenuse. You only need to do this for the first 8 if you discover a
pattern.
Step 4: Using your original Right triangle, add another leg measuring 1 inch and right angle to the hypotenuse of your original Right triangle. Connect the endpoints
to form a new hypotenuse for your new Right triangle.
Step 5: Show the calculations to find the length of the new hypotenuse.
Step 6: Continue to repeat this process of connecting and drawing new triangles with a side length of 1 inch, using the previous hypotenuse as the other side. Draw
triangles until you are able to measure the square root of 17. You must show all calculations (Step 3) on a separate piece of paper.

Answers

The right triangle whose hypotenuse is the square root of 17 has legs of 1 inch and 4 inches

How to determine the hypotenuse?

Step 1 and 2: Create an isosceles right triangle

This is represented by the attached figure in (see figure 1 for this triangle)

The legs of this triangle have a length of 1 inch

Step 3: The hypotenuse

This is calculated using the following Pythagoras theorem

[tex]h^2 = 1^2 + 1^2[/tex]

This gives

[tex]h = \sqrt 2[/tex]

Step 4: Create another isosceles right triangle

This is represented by the attached figure in (see figure 2 for this triangle)

The legs of this triangle are 1 inch and 2 inches, respectively

This hypotenuse is calculated by:

[tex]h^2 = 2^2 + 1^2[/tex]

This gives

[tex]h = \sqrt 5[/tex]

Step 5: Create another isosceles right triangle

This is represented by the attached figure in (see figure 3 for this triangle)

The legs of this triangle are 1 inch and 3 inches, respectively

This hypotenuse is calculated by:

[tex]h^2 = 3^2 + 1^2[/tex]

This gives

[tex]h = \sqrt {10[/tex]

Step 6: Create another isosceles right triangle

This is represented by the attached figure in (see figure 4 for this triangle)

The legs of this triangle are 1 inch and 4 inches, respectively

This hypotenuse is calculated by:

[tex]h^2 = 4^2 + 1^2[/tex]

This gives

[tex]h = \sqrt{[17[/tex]

See that the hypotenuse is the square root of 17

Hence, the right triangle whose hypotenuse is the square root of 17 has legs of 1 inch and 4 inches

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If you register a 0. 08 bac or refuse to take a breath test, your license will be automatically suspended for.

Answers

If you register a 0. 08 bac or refuse to take a breath test, your license will be automatically suspended for 12 months.

What is bac test?

The amount of alcohol in your blood is determined via a blood alcohol(bac)test. The breathalyzer test, which police officers frequently administer to people they suspect of driving while intoxicated, is more widely known. While breathalyzers provide quick findings, they are not as precise as bac tests that measure alcohol in the blood.

The same 0.08 bac limit applies to adults in all 50 states who are 21 years of age or older, who are driving while intoxicated and breaching the law.

No amount of alcohol is safe when you are driving, even if your bac is below the legal limit. Don't drive after drinking, please!

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Can someone please help me with this similar area question? I have the answer but I’m not sure how to get to it. Will make brainliest!

Answers

Step-by-step explanation:

well there is a very simple point that you have mistaken tho:

484cm², 25cm²

Areas are defined in square cm but the radius is in cm

so:

[tex] \sqrt{ \frac{484 {cm}^{2} }{25 {cm}^{2} } } = \frac{7.92}{r} = = = > 4.4 = \frac{7.92cm}{x} = = > x = \frac{7.92cm}{4.4} = x = 1.8cm[/tex]

and there you go


What is the slope of a line passing through (-4,-5)
and (-2,-9)?

Answers

Gradient
= (y2-y1)/(x2-x1)
= (-9-(-5))(-2-(-4))
= (-4)(2)
= -8

Answer:

slope = - 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 5 ) and (x₂, y₂ ) = (- 2, - 9 )

m = [tex]\frac{-9-(-5)}{-2-(-4)}[/tex] = [tex]\frac{-9+5}{-2+4}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

which facts are true for the graph of the function below check all that apply F(x)=log6x

Answers

Based on the graph of the function (F(x) = log6x), the following facts are true:

It is increasing. The x-intercept is (1, 0).

What is a graph?

A graph is a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph of the function (F(x) = log6x) attached in the image below, we can infer and logically deduce that its domain and range include all real numbers that are greater than 0 (x > 0).

This ultimately implies that, the following facts are true:

It is increasing. The x-intercept is (1, 0).

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Complete Question:

Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x

A. It is increasing.

B. The range is y > 0.

C. The x-intercept is (1, 0).

D. It is decreasing.

E. The y-intercept is (0, 6).

F. The domain is x > 6.

ind the hypotenuse of the following triangle. [2]


This is a RIGHT ANGLE triangle!

Answers

c2 =a2 +b2

that's the rule

for example

c2=5^2+5^2

c2=25+25

c2=50 square root is

c=7.07^2

(Lesson 1.3) Use properties to find the sum or product. (3,5,7,9,11 only)

Answers

The values when the given numbers are multiplied will be:

230

78

3

91

1800

How to compute the values?

3. 5 × 23 × 2

It should be noted that the given information simply means that we should multiply 5 by 23 by 2. This will be:

= 5 × 23 × 2

= 230

5. 34 + 0 + 18 + 26

This information simply means that we should add thirty four, eighteen, and twenty six together. This will be:

34 + 0 + 18 + 26 = 78

7. (3 × 10 × 8) = ....... × (10 × 8)

(3 × 10 × 8) = 3 × (10 × 8)

9. 0 + ...... = 91

It simply means the number that will be added to zero that will give ninety one. This will be 91.

11. The total income for the theater will be:

= (20 × 18) × 5

= 1800

Therefore, the correct values based on the computation will be 730, 78, 3, 91, and 1800.

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What is the area of the triangle?

Enter your answer in the box.

in²
Right triangle with sides forming the right traingle labeled 25 inches and 60 inches and the side across from the right angle labeled 65 inches.

Answers

Using it's formula, the area of the right triangle is of 750 inches squared.

What is the area of a right triangle?

The area of a right triangle is given by half the multiplication of the two legs, which are the two smaller sides.

In this problem, the two legs are 25 inches and 60 inches, hence the area of the triangle is:

A = 0.5 x 25 x 60 = 750 inches².

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What is equilibrium if autonomous expenditures are $2,000 and the mpe is 0. 5?

Answers

The equilibrium level if autonomous expenditures are $2,000 and the mpe is 0. 5 is $4000.

How to calculate the equilibrium?

From the information given, the autonomous expenditures are $2,000 and the mpe is 0. 5.

Here, the equilibrium level will be:

= 2000/(1 - 0.5)

= 2000/0.5

= 4000

In conclusion, the correct option is $4000.

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Using rigid motion, which statement is true about the triangles?
O ABC is congruent to FED
O ABC is congruent to FDE.
Ο Δ ABC is congruent to DEF.
triangles are not congruent

Answers

Answer:

ABC is congruent to DEF

Step-by-step explanation:

I think its this one cause the angles are the same

Find the height of the basketball hoop to the nearest foot. a. 7 ft b. 10 ft c. 12 ft d. 15 f

Answers

The height of the basketball hoop to the nearest foot will be 12ft .

There are two ways to continue. The first method is to use trigonometric ratios.

You can use the tangent ratio because you have specified one leg and are trying to solve it with the other leg.

x equals the length of the other leg. .. Plug in known values.

Another way to find out is to monitor the angle. If the two angles are 45 degrees and 90 degrees, you can see that the third angle is 45 degrees. This makes it an isosceles triangle. That is, the other leg is 7 feet long.

2) Determine the height of the tire

Add 7 feet and 5 feet (human height):

7 + 5 = 12 feet

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Here is a list of numbers: 2 , 8 , 1 , 7 , 4 , 10 , 1 , 15 , 20 State the median.

Answers

Answer:

7

Step-by-step explanation:

1, 1, 2, 4, 7, 8, 10, 15, 20

median = 7

Hello Brainly Teacher Brainly Moderators and trusted helpers!​

Answers

Answer:

P(x < 84) = 0.3085 or approximately 31%

============

Hello to you from Brainly team!

Given

Mean grade μ = 86,Standard deviation σ = 4,Grade limit x = 84.

To find

Probability of that a randomly selected grade is less than 84 or P(x < 84).

Solution

Find z-score using relevant equation:

z = (x - μ)/σ

Substitute values and calculate:

z = (84 - 86)/4 = - 0.5

Using the z-score table find the corresponding P- value.

P(x < 84) = 0.30854 or approximately 31%

Answer:0.30854

Step-by-step explanation:Solution:

Given:

Using the z-scores formula;

From the z-scores table, the probability is;

Therefore, the probability that the grade is less than 84 is 0.30854

The relationship between the natural variation and specifications is quantified by a measure known as the _____.

Answers

The relationship between the natural variation and specifications is quantified by a measure known as the Process capability index.

According to the questions,

The relationship between the natural variation and specifications is quantified by a measure known as the Process capability index.

Process capability index refers to the capability of a process to deliver output which lies within the specifications limits that are desired.

Hence, the relationship between the natural variation and specifications is quantified by a measure known as the Process capability index.

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What is the measure of Zz?
140°
80°
Z

Answers

Answer:

60

Step-by-step explanation:

140 = 80 + z

z = 60

Answer:

60°

Step-by-step explanation:

The whole angle is 140° and one side is 80°. Now, you just have to subtract 140 and 80 to get 60. I hope this helps!

Write an equation of the line in slope-intercept form that is parallel to the line y= -4 + 2 and passes through (2,4)

Answers

Answer:

Step-by-step explanation:

If the lines are parallel, it means that the slopes are the same.  To write an equation in the slope intercept form, we need the slope and the y-intercept.  We are given the slope.  We need to find the y-intercept.  We can use the slope and the point to help us.  The point is written in the form (x,y).  In this case the point is (2,4) so we will use 2 for x and 4 for y.

y = mx + b  Plug in what we know

4 = -4(2) + b  b is what we are looking for.  It is the y-intercept

4 = -8 + b  Now add 8 to both sides

12 = b

Now we can write the equation:

y = -4x +12

Please help!! is there a solution to z³ = x³ + y³ for a right triangle?

Answers

There are no solutions for z³ = x³ + y³ for a right triangle

How to determine the true statement?

The equation is given as:

z³ = x³ + y³

By Pythagoras theorem, we have:

z² = x² + y²

Multiply both sides by z

z³ = zx² + zy²

By comparing z³ = zx² + zy² and z³ = x³ + y³, we have:

x³ + y³ = zx² + zy²

Factor out z

x³ + y³ = z(x² + y²)

Make z the subject

z = (x³ + y³)/(x² + y²)

There exist no solution for the above equation

Hence, there are no solutions for z³ = x³ + y³ for a right triangle

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Which line plot correctly shows the data?

Answers

The line plot shown C in the figure is correct.

Given that the recorded lengths of ribbon pieces which is used in project is [tex]11\frac{1}{4},11\frac{1}{4},10\frac{3}{4},10\frac{1}{2},10\frac{7}{8},10\frac{5}{8},9\frac{7}{8},11\frac{1}{4}[/tex].

Frequency refers to the number of times an event or  value occurs. A frequency table is a table that lists items and shows how many times those items occurred.

A line plot displays the data using a no. line.

Firstly, we will fimd the frequency of each value

Values                               Frequency

9 (7/8)                                        1

10(4/8)=10(1/2)                           1

10(5/8)                                       1

10(6/8)=10(3/4)                          1

10(7/8)                                       1

11(2/8)=11(1/4)                             3

Option A is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option B is incorrect because 11(2/8) has no data values in the line plot (i.e. frequency = 0)

Option C is correct because the frequency distribution of the data is represented correctly in the line plot.

Option D is incorrect because 11(2/8) has 2 data values in the line plot (i.e., frequency = 2)

Hence, the line plot which correct shows the data is third line plot.

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I need help finding m

Answers

Answer:

i need this too hahahaha

In an arithmetic sequence the first term is 2 and the second term is 5 , find the eighth term

Answers

Answer:

23

Step-by-step explanation:

Arithmetic sequence:

  In arithmetic sequence, the difference between any consecutive terms is constant and the progression goes either in  ascending order or in descending order.

a = first term = 2

a₂ = 5

difference = d = second term - first term

                        = 5 - 2

                      d = 3

Formula for finding nth term in arithmetic sequence:

   [tex]\sf \boxed{t_n = a + (n-1)*d}[/tex]

     t₈ = 2 + (8 -1) * 3

        = 2 + 7 *3

        = 2 + 21

    t₈ = 23

   

The sunshade on one set of equipment has a square base of 120 cm and a height of 50 cm. The
sunshades are open-bottomed square based pyramids. This means that the base is not included.
a. Determine the total surface area, in m², of the sunshade.

Answers

The total surface area, in m², of the sunshade is 0.4344 m²

How to calculate surface area of a squared pyramid ?

A pyramid can have a squared base, rectangular base or other polygons. The formula we can to find the total surface area of a squared pyramid is

Surface Area = P x l/2

Where

P = base parameterl = slant height

Given that a sunshade on one set of equipment has a square base of 120 cm and a height of 50 cm. That means that the length L of the base will be  120 cm and half of it will be 60 cm

To find the slant height l, we will use Pythagoras theorem.

[tex]l^{2}[/tex] = 60² + 50²

[tex]l^{2}[/tex] = 3600 + 2500

[tex]l^{2}[/tex] = 6100

l = √6100

l = 78.1 cm

convert it to meter

l = 78.1/100

l = 0.781 m

The perimeter P of the base = 4 x 120/100 = 4.80 m

The Surface Area = P x l/2

Substitute all the necessary parameters into the formula

Surface Area = 4.80 x 0.781/2  

Surface Area = 1.8744 m²

If the sunshades are open-bottomed square based pyramids, this means that the base is not included. That is, the area of the base should be taken away from the answer above.

Area of the base = 120/100 x 120/100 = 1.44 m²

The total surface area, in m², of the sunshade will 1.8744 - 1.44

The total surface = 0.4344 m²

Therefore, the total surface area, in m², of the sunshade is 0.4344 m²

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Given that tanx=14 and sinx is negative, determine sin(2x), cos(2x), and tan(2x). Write the exact answer. Do not round.

Answers

By applying trigonometric identities, the value of tan(x) = 14, gives;

[tex]sin(2 \cdot x) = \frac{28}{197} [/tex]

[tex]cos(2 \cdot x) = -\frac{195}{197} [/tex]

[tex]tan(2 \cdot x) = -\frac{28}{195} [/tex]

Which method can be used to find the value of the trigonometric expressions?

Given;

tan(x) = 14

sin(x) is negative

By definition, we have;

[tex]sin(2 \cdot x) = \mathbf{\frac{2 \cdot \: tan(x)}{1 + {tan(x)}^{2} }} [/tex]

Which gives;

[tex]sin(2 \cdot x) = \frac{2 \times 14}{1 + {14}^{2} } = \frac{28}{197} [/tex]

Similarly, we have;

[tex]cos(2 \cdot x) = \mathbf{\frac{1- tan(x)^2}{1 + {tan(x)}^{2} }} [/tex]

Which gives;

[tex]cos(2 \cdot x) = \frac{1- 14^2}{1 + {14}^{2} } = -\frac{195}{197} [/tex]

[tex]tan(2 \cdot x) = \mathbf{\frac{sin(2 \cdot x) }{cos(2 \cdot x) } } [/tex]

Which gives;

[tex]tan(2 \cdot x) = \frac{ \frac{28}{197}}{-\frac{195}{197} } = -\frac{28}{195} [/tex]

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Fill out First row is standard form

Second row is Factored Form already done for you.

Answers

Answer:

(x + 6)(x - 2) = x² + 4x - 12

(x + 2)(x - 8) = x² - 6x - 16

(x + 6)(x - 6) = x² - 36

(x - 5)(x - 1) = x² - 6x + 5

(x - 4)(x - 10) = x² - 14x + 40

(x + 2)(x + 5) = x² + 7x + 10

Step-by-step explanation:

Use FOIL.

(x + 6)(x - 2) =

F - first: x × x = x²

O - outer: -2 × x = -2x

I - inner: 6 × x = 6x

L - last: 6 × -2 = -12

(x + 6)(x - 2) = x² - 2x + 6x - 12

Now, combine like terms.

(x + 6)(x - 2) = x² + 4x - 12

(x + 2)(x - 8) = x² - 6x - 16

(x + 6)(x - 6) = x² - 36

(x - 5)(x - 1) = x² - 6x + 5

(x - 4)(x - 10) = x² - 14x + 40

(x + 2)(x + 5) = x² + 7x + 10

A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following. (a) Which of the following surveys probably would best represent the entire adult population of the city? 25 homeowners are randomly selected; 14 voted in the last election. 25 adult residents are randomly selected from the city; 10 voted in the last election. 25 senior residents are randomly selected; 11 voted in the last election. (b) There are 20,600 adults who live in the city. Using your answer from part (a), estimate the number of adults who voted in the last city election.

Answers

Using sampling concepts, it is found that:

a) The best method is: 25 adult residents are randomly selected from the city;

b) The estimate is that 11,536 adults voted in the election.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the sample will be representative if all adults, no matter if senior or not, homeowners or not are represented, hence the best method is:

25 adult residents are randomly selected from the city;

The estimate of the number of adults that voted is:

14/25 x 20,600 = 11,536.

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If the coordinates of two points are A (-3,5) and B (-9, -6), then find the value of (abscissa of A) + (ordinate of B)​

Answers

Answer:

abscissa of A = -3

ordinate of B = -6

A+B = -3+(-6)= -3-6=

-9

Let u - 4x? - 1. Find du. (4-1) du - Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) [0, 1] - Evaluate the definite integral. 01 Need Help? Read to a Tutor Consider the following. Let u = x + 1. Find du. du- Indicate how the limits of integration should be adjusted in order to perform the integration with respect to L. (Enter your answer using interval notation, [0, 2] - Evaluate the definite integral.

Answers

The value of du becomes 4 by integration.

According to the statement

we have given a two statement which are u - 4x and  u = x + 1.

And we have to find the value of du by the use of integration.

An Integral assigns numbers to functions in a way that describes the data.

So,

From u  - 4x

here du becomes by derivative

du - 4dx/du

du = 4dx/du.  -(1)

And in u = x + 1.

here du becomes

du = dx/du  -(2)

by comparing both terms from equation (1) and (2) we get the value of du

du = 4.

the value of du is 4.

So, The value of du becomes 4 by integration.

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Explaining How to Compare Ratios Using Fractions Compare these three ratios using fractions. 3 to 2 5:6 8 to 12 Think about the steps you could take to compare the ratios using fractions. The first step is to write the ratios as fractions. The next step is to use a to rewrite the fractions. Finally, compare the to help you order the ratios.

Answers

The first step is writing the ratios as fractions.The next step is to use a common denominator to rewrite the fractions.Finally, compare the numerators to help you order the ratios.

What is a ratio?

A ratio is a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include:

NumeratorDenominator

3 to 2 = 3/2

5:6 = 5/6

8 to 12 = 3/2

Thus, a common denominator of 12 can be used to rewrite the fractions and then you should compare the numerators to order the ratios in an ascending order.

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Other Questions
1. Suppose you weigh 580.00 Newtons (that is about 130 pounds) when you are standing on a beach near San Diego. How much will you weigh at Big Bear lake, which is about 2000 meters high? 2. A spring, with spring constant k = 0.50 N/m, has an m = 0.20 kg mass attached to its end. During its (horizontal) oscillations, the maximum speed achieved by the mass is Umax = 2.0 m/s. (a) What is the period of the system? (b) What is the amplitude of the motion? Water can be added across a double bond using an oxymercuration-reduction reaction. On the following molecules, select the carbons where OH would be added by this reaction. 1st attempt hi See Periodic Table To select/highlight a carbon, click on it. C Solve the following equation for x, where 0x two narrow slits 70 m apart are illuminated with light of wavelength 550 nm . part a what is the angle of the m = 3 bright fringe in radians? which luxury automaker is preparing to go public, with 911 million shares up for grabs? finding the nullspace of a matrix in exercises 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, and 40, find the nullspace of the matrix. The structures of two compounds commonly found in food, lauric acid, C 12H 24O 2, and sucrose, C 12H 22O 11* are shown above. (a) Which compound, lauric acid or sucrose, is more toluble in water? Changes in a companys capital expenditures or fixed asset sales over time must: _______ Let f be the function defined by f(x) For how many values of x in the open interval (0, 1.565) is the instantaneous rate of change of f equal to the average rale of change = of f on the closed interval [0. 1.565] (A) Zero (B) One (C) Three (D) Four Consider the hypothetical observation "a planet beyond saturn rises in west, sets in east. " this observation is not consistent with a sun-centered model, because in this model __________. A university degree isn't necessary for that job. Use a modal verb how could mike justify introducing the intentional slowdown in processing power? An unhappy 0.300-kg rodent, moving on the end of a spring with force constant k = 2.50 N/m, is acted on by a damping force Fx = bvx. (a) If the constant b has the value 0.900 kg/s, what is the frequency of oscillation of the rodent? (b) For what value of the constant b will the motion be critically damped? x = 3 cos ( u ) sin ( v ) x=3cos(u)sin(v) y = 3 sin ( u ) sin ( v ) y=3sin(u)sin(v) z = 3 cos ( v ) z=3cos(v) 0 u 0u 1.57incorrect , 0 v 0v 1.57 The mass of the Sun is 2 1030 kg, and the distance between Neptune and the Sun is 30 AU. What is the orbital period of Neptune in Earth years? 30 Earth years 164 Earth years 3. 8 1011 Earth years 2. 3 1017 Earth years. a spaceship of proper length 50 m is moving away from the earth at a speed of .8c . according to the observes in the ship , their journey takes 6.0 hours . according to observers on earth , what is the length of the ship and how long does the journey take ? Find the z-score for which 20. 99% of the area lies to its right. If 4 daps are equivalent to 3 dops, and 2 dops are equivalent to 7 dips, how many daps are equivalent to 42 dips? This sonnet follows the traditional Shakespeare form. How do the three quatrains support the meaning of the poem a 9.950 l sample of gas is cooled from 79.50c to a temperature at which its volume is 8.550 l. what is this new temperature? assume no change in pressure of the gas.