Given A(5,3) and O(0,0), find a point B that makes the following true: m(A,B)=3

Answers

Answer 1

A point B is (1 , -9)

Step-by-step explanation:

The formula of the slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points

lie on the line

A (5 , 3) and O (0 , 0) are two pointsm(A , B) = 3 ⇒ (the slope of AB = 3)

We need to find a point B that makes that true

Assume that point B is (x , y)

∵ Point A = (5 , 3)

∵ Point B = (x , y)

∴ [tex]x_{1}=5[/tex] and [tex]x_{2}=x[/tex]

∴ [tex]y_{1}=3[/tex] and [tex]y_{2}=y[/tex]

- Substitute these values in the formula of m

∴ [tex]m=\frac{y-3}{x-5}[/tex]

∵ m(A , B) = 3

- Equate the formula of the slope by 3

∴ [tex]\frac{y-3}{x-5}=3[/tex]

- By using cross multiplication

∴ y - 3 = 3(x - 5)

- Simplify the right hand side

∴ y - 3 = 3x - 15

- Add 3 for both sides

∴ y = 3x - 12

To find point B chose any value for x and substitute it in the

equation to find y

∵ x = 1

∴ y = 3(1) - 12 = 3 - 12

∴ y = 9

∴ Point B = (1 , -9)

V.I.N: You can find many values of point B by chose different values of x and find the corresponding values of y

A point B is (1 , -9)

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Related Questions

The length of the minute hand on a clock is 5 in....is it a dimeter, circumference, radius?

Answers

Answer: Radius

Step-by-step explanation: The radius of a circle is a segment that joins the center of the circle to a point on the circle.

The minute hand on a clock would start in the center and go outwards towards a certain number. However, the minute hand would not go the full length across the clock so it's not the diameter.

The circumference of a circle which is another way of saying the perimeter of the circle is the distance around the circle so it would not be the circumference.

This means that the minute hand would represent the radius of a clock.

Final answer:

The 5 inch length of the minute hand on the clock is actually a radius, not a diameter or circumference. This radius is the distance from the center of the clock face to the tip of the minute hand. The diameter, which would be twice the length of the radius, would be 10 inches, and the circumference of the circle formed by the minute hand's movement would be approximately 31.4 inches.

Explanation:

In this case, the 5 inches refers to the radius of the circle that is created by the minute hand of the clock as it moves around the clock face. This radius is the distance from the center of the clock face to the tip of the minute hand. In general, in any circular motion, the length of the revolving component, like a clock hand, from the center to its tip is called the radius of the circle.

The diameter is simply twice the radius, and in this case if the radius is 5 inches, the diameter would be 10 inches. The circumference of a circle is calculated by the formula 2πr (2 times the value of pi times the radius), hence, in this instance, it would be 10π inches or approximately 31.4 inches.

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PLEASE HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The top cable is 115.52 feet long

The bottom cable is 110.86 feet long

Step-by-step explanation:

The ground anchor #2, the tower, ground level, and both cables form a figure made of two right triangles as shown in the figure below

We are required to compute L1 and L2 which are the hypotenuses of both triangles from which we have both legs

We'll apply the Pythagoras's theorem. If a and b are the legs of a right triangle and c its hypotenuse, then

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

For the bottom ground support cable, a=41, b=103

[tex]L2^2=41^2+103^2[/tex]=110.86\ feet

For the top ground support cable, a=41, b=108

[tex]L1^2=41^2+108^2[/tex]=115.52\ feet

The top cable is 115.52 feet long

The bottom cable is 110.86 feet long

How do you divide 3 1/4 and 3?

Answers

First we're going to change the 3 1/4 into an improper fraction.

3 1/4 is the same as 13/4

When dividing fractions, it's the same thing as multiplying by the reciprocal.

What this means is we're going to flip the second fraction.

So the original problem is this:

13/4 divided by 3/1

It now looks like this:

13/4 multiplied by 1/3

Then, simply multiply the top numbers together and then multiply the bottom numbers together.

13*1=13

4*3=12

your answer is 13/12

Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make bags that have all three cookie flavors and the same number of each flavor per bag.

How many bags can he make without having any cookies left over?

Answers

The number of bags he can make without having any cookies left over is 4 bags.

Number of chocolate chips = 48Number of vanilla cookies = 64Number of raisin cookies = 100

How to find highest common factor

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

64 = 1, 2, 4, 8, 16, 32 and 64

100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The highest common factor of 48, 64 and 100 is 4

Therefore, the number of bags he can make without having any cookies left over is 4 bags

Each bag has:

chocolates cookies = 48/4

= 12 each

Vanilla cookies = 64/4

= 16 each

Raisin cookies = 100/4

= 25 each

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Diego can make 12 bags without having any cookies left over, ensuring each bag contains an equal number of each flavor.

To determine how many bags Diego can make without having any cookies left over, we need to find the greatest common divisor (GCD) of the quantities of each type of cookie.

Step 1:

Find the GCD of the quantities of each type of cookie:

GCD(48, 64, 100) = 4

Step 2:

Calculate the number of bags Diego can make:

Each bag will contain 4 cookies of each flavor, as determined by the GCD.

For chocolate chip cookies: 48 cookies ÷ 4 cookies/bag = 12 bags

For vanilla cookies: 64 cookies ÷ 4 cookies/bag = 16 bags

For raisin cookies: 100 cookies ÷ 4 cookies/bag = 25 bags

Step 3:

Determine the minimum number of bags Diego can make without any cookies left over:

The minimum number of bags is determined by the smallest number of bags he can make for any type of cookie, which is 12 bags for chocolate chip cookies.

Therefore, Diego can make 12 bags without having any cookies left over.

Find the slopes of lines AB and CD. Show your work. Line AB goes through points A(3,4) and B(7,7). Line CD goes through points C (0,0) and D (-6,8).

Answers

Slope formula: y2-y1/x2-x1

Line AB:

= 7-4/7-3

= 3/4

Line CD:

= 8-0/-6-0

= 8/-6

= -4\3

______

Best Regards,

Wolfyy :)

If y varies inversely as the square of x, and y=2 when x=4, find y when x=4

Answers

Answer:

y = 2

Step-by-step explanation:

Given that y varies inversely as the square of x then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation

To find k use the condition y = 2 when x = 4

k = yx² = 2 × 4² = 2 × 16 = 32, thus

y = [tex]\frac{32}{x^2}[/tex] ← equation of variation

When x = 4, then

y = [tex]\frac{32}{4^2}[/tex] = [tex]\frac{32}{16}[/tex] = 2

Jina spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?

Answers

Answer:

45%

Step-by-step explanation:

27/60 = .45

First, divide.

27 / 60 = 0.45

Multiply by 100%.

0.45 * 100% = 45%

______

Jina spent 45% of her total on fruits.

______

Best Regards,

Wolfyy :)

what is 23,234+12,346?

Answers

For this case we must solve the following sum:

    23,234

 +  12,346

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

    35,580

We place the addends one below the other so that the units coincide in the same column. We add each digit, we get the expression:

[tex]35,580[/tex]

ANswer:

[tex]35,580[/tex]

Which medicinal product is made using animal products?
A. Flu vaccine
O
B. Aspirin
C. Rose oil
O
D. Morphine
SUBM

Answers

Answer:

C. Rose oil

Step-by-step explanation:

Which medicinal product is made using animal products?

A. Flu vaccine

O

B. Aspirin

C. Rose oil

O

D. Morphine

SUBM

Answer:A. Flu vaccine

Step-by-step explanation:

Stanley's mother owns a stationary shop. Stanley helped his mother pack 319 pencil cases into packets of 7. In the end, 25 packets of pencils cases were sold. How many pencils cases were not sold?​

Answers

They sold 25 packets, containing 7 pencils each. So, they sold a total of

[tex]25\cdot 7=175[/tex]

pencils. This means that

[tex]319-175=144[/tex]

pencils were not sold.

Which graph represents the function f(x)=x4+8x3+6x2−40x+25?

Answers

Answer:

Graphic A. (Upper left graphic)

Step-by-step explanation:

The roots of the fourth-order polynomial are, that is the values of x which make polynomial equal to zero:

[tex]x = 1[/tex] and [tex]x = -5[/tex]

By comparing the results with each graphic, it is evident that option A corresponds with the function. (Upper left graphic)

To graph the function f(x)=x4+8x3+6x2−40x+25, choose values of x, find corresponding y-values, and plot the points to form a curve.

To graph the function f(x) = x4 + 8x3 + 6x2 - 40x + 25, we need to plot points on a coordinate plane and connect them to form a graph. Here are the steps:

Choose a few values of x, such as -2, -1, 0, 1, and 2.Plug each value of x into the equation to find the corresponding y-values. For example, when x=-2, y=(-2)4+8(-2)3+6(-2)2-40(-2)+25.Plot the points on the coordinate plane (x,y) and connect them to form a smooth curve.

The resulting graph should be a curve that goes through the plotted points.

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9. Wade has 126 inches of 1-inch wide bias tape for a border
on a rectangular banner. If the banner needs to be 48
inches long, what is the maximum width it could be?​

Answers

Answer:

Let 'x' represent the width.

2*48 + 2x = 126

x = 15 in

The maximum width could be 15 inches.

Final answer:

To find the maximum width of the rectangular banner, calculate the total length of bias tape used, subtract it from the available bias tape, and divide the remaining inches by 2. The maximum width of the banner is 15 inches.

Explanation:

Maximum Width Calculation:

Calculate the total length of bias tape used: 48 inches x 2 sides = 96 inches.

Subtract the total length from the available bias tape: 126 - 96 = 30 inches.

Divide the remaining inches by 2 (since there are 2 widths): 30 / 2 = 15 inches.

f is a quadratic function whose graph is a parabola opening upward and has a vertex on the x-axis. The graph of the new function g defined by g(x) = 2 - f(x - 5) has a range defined by the interval
A. [ -5 , + infinity)
B. [ 2 , + infinity)
C. ( - infinity , 2]
D. ( - infinity , 0]

Answers

PLEASE MARK BRAINLIEST!

Answer:

Your answer is C. ( - infinity , 2]

Step-by-step explanation:

Because it is, and I found the answer right next to an image I was searching up. Coincidences, am I right?

What is the solution to the equation below? square root of 4-3x divided by square root of 3x equals 2


Possible answers: x=4/9 x=4/15 x= 7/9 x=7/15

Answers

Answer:

B.[tex]x=\frac{4}{15}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{4-3x}}{\sqrt{3x} } =2[/tex]can be simplify by doing some algebra.Particulary, in this case, [tex]\frac{\sqrt{4-3x}}{\sqrt{3x} } =\sqrt{\frac{4-3x}{3x} }[/tex], because of the distributive property with respect to division and multiplication.Then, by dividing numerator and denominator by 3x inside the power we get [tex]\sqrt{\frac{\frac{4}{3x}-1}{1}}=\sqrt{\frac{4}{3x}-1} =2[/tex].To dispose of the squared root, we raise to power 2 both sides of the equation, to obtain the following expression: [tex]\frac{4}{3x}-1=4[/tex].Finally, we just have to clear out the value of x from this expression, by addding 1 both sides of the equation: [tex]\frac{4}{3x}=5[/tex], and then by multiplying both sides by 3x, and then dividing the result by 15. This yields [tex]x=\frac{4}{15}[/tex]

Answer:4/15

Step-by-step explanation:

20 POINTS AND WILL MARK BRAINLIEST PLZ HELP

Which is the equation of a line that has a slope of 1/2 and passes through point (2,–3)?

A. Y= 1/2x-4

B. Y= 1/2x-2

C. Y=1/2x +2

D. Y=1/2x +3

Answers

Answer:

The answer is A

Step-by-step explanation:

y = mx + c

m = 1/2

(2,-3)

y = (1/2)x + c

-3 = (1/2)(2) + c

c = -4

y = (1/2)x - 4

what is the answer if 2.4 x 5.8

Answers

Answer: 13.92

Step-by-step explanation: 8x4 then 8x2

zero the hero

5x4 then 5x2

lastly add

Answer:

13.92

Step-by-step explanation:

So the explanation is on the picture lol

8 km + 2300 m +12,000 cm = ?

Answers

Answer:

The result is 10.42 kilometers, or 10,420 meters or 1'042,000 centimeters.

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

8 kilometers plus 2,300 meters plus 12,000 centimeters

2. Let's do the conversions to find the result either in kilometers, meters or even centimeters.

A. In kilometers:

8 kilometers

2,300 meters = 2.3 kilometers

12,000 centimeters = 120 meters = 0.12 kilometers

10.42 kilometers

B. In meters

8 kilometers = 8,000 meters

2,300 meters

12,000 centimeters = 120 meters

10,420 meters

C. In centimeters

8 kilometers = 8,000 meters = 800,000 centimeters

2,300 meters = 230,000 centimeters

12,000 centimeters

1'042,000 centimeters

The final sum is 10,420 meters.

To solve the mathematical problem of adding different units of measurement, we first need to convert everything to the same unit. In this case, let's convert all measurements to meters (m).

Convert 8 kilometers (km) to meters. Since 1 km = 1000 m => 8 km = 8 x 1000 => 8000 m.Convert 2300 meters (m) to meters. This is already in meters, so no conversion is needed and it remains 2300 m.Convert 12,000 centimeters (cm) to meters. Since 1 m = 100 cm, 12,000 cm = 12,000 / 100 = 120 m.

Now, add these values together:

8000 m + 2300 m + 120 m = 10,420 meters

PLZZZ HELP ASAP!!!
Two angles are a linear pair. One third of the measure of the first plus 12 is equal to the measure of the second. what are the measures of both angles?

Answers

Answer:

Step-by-step explanation:

Let's angle be x and y

Then......

⅓x+12=y......eqn(I)

Since are linear

x+y=180

y=180-x.....eqn(ii)

Substitute the eqns

You get x=126°

From eqn (iii)

You get y=54°

Those are angles

The measures of both angles are 126° and 54°.

What are Linear Pair of Angles?

Linear pair of angles are the pair of angles formed when two lines are intersected at a point forming on a line.

Sum of the measures of angles of linear pair is supplementary.

Given that,

Two angles are a linear pair.

Let x and y be the measures of two angles.

We have,

y = 1/3 x + 12

Sum of the angles is supplementary.

x + y = 180

x + 1/3 x + 12 = 180

4/3 x = 168

x = 126°

y = 180 - 126 = 54°

Hence the angles are 126° and 54°.

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2. A parking lot holds 40 cars. There are 20 cars in the lot already. Which inequality can be solved to show all the
numbers of cars c that can still park in the lot?
a. 20+C < 40
C. 60 b. 20+C = 40
d. 60 SC

Answers

C I need to put 20 letters so yea the answer is C

Catskill is 15 miles from Saugerties. What would the
distance on the map be?

Answers

Answer:

6 inches

Step-by-step explanation:

the map is equal to

1/2.5 inch / miles

by proportion :

1/2.5 inch/miles  = x inches / 15 miles

x = 15/2.5

x=6 inches!!

I hope this helped you!! :)

the temperature is -2 if the temperature rises by 15 what is the new temperature​

Answers

the temperature would be 13.
13 degrees Celsius (or whatever counter your country uses)

c)
100x5
Simplify radical

Answers

Answer:

500

Step-by-step explanation:

100 X 5 = 5 + 5 + 5 + 5...100 times = 100 + 100 + 100 + 100 + 100 = 500

Answer:

500

Step-by-step explanation:

yes

fire work a travels at the speed 300 ft/s firework b travels 240 ft/s. firework b is launched 0.25s before firework a. how many seconds after firework b launches will both fireworks explode?

Answers

Answer:

Both fireworks  will explode after 1 seconds after firework b launches.

Step-by-step explanation:

Given:

Speed of fire work A= 300 ft/s

Speed of Firework B=240 ft/s

Time before which fire work b is launched =0.25s

To Find:

How many seconds after firework b launches will both fireworks explode=?

Solution:

Let t be the time(seconds) after which both the fireworks explode.

By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation

Firework A= 330(t)

Firework B=240(t)+240(0.25)

Since we need to know the same time after which they explode, we can equate both the equations

330(t) = 240(t)+240(0.25)

300(t)= 240(t)+60

300(t)-240(t)= 60

60(t)=60

[tex]t=\frac{60}{60}[/tex]

t=1

Final answer:

By setting the distance traveled by both fireworks equal, we find that both Firework A and B will explode 1.25 seconds after Firework B is launched.

Explanation:

To solve the problem of when both fireworks will explode, we can use the constant speed equation distance = speed × time. Firework A travels at 300 ft/s, and Firework B travels at 240 ft/s. Firework B is given a 0.25s head start. We need to find the time when they have traveled the same distance.

Let's call the time after Firework B launches when both explode as t. Since Firework A launches 0.25s after B, it will have traveled for t - 0.25s when they explode together. The equations for the distances traveled by both fireworks until that point will be:

Distance Firework A: 300 (t - 0.25)Distance Firework B: 240 t

Setting these distances equal to each other:

300 (t - 0.25) = 240 t

Solving for t:

300t - 75 = 240t

60t = 75

t = 1.25s

Therefore, both fireworks will explode 1.25 seconds after Firework B launches.

a line with a slope of 5/3 passes through the point (10, -5). what is its equation in point slope​

Answers

The equation of line in point-slope form with slope 5/3 passing through the point (10-5) is:

[tex]y+5 = \frac{5}{3}(x-10)[/tex]

Step-by-step explanation:

Given

Slope = m = 5/3

Point = (x1,y1) = (10, -5)

Point-slope form is:

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

As the slope and point is already given, we only have to put the values in the equation to get the equation of required line:

[tex]y-(-5) = \frac{5}{3}(x-10)\\y+5 = \frac{5}{3}(x-10)[/tex]

Hence,

The equation of line in point-slope form with slope 5/3 passing through the point (10-5) is:

[tex]y+5 = \frac{5}{3}(x-10)[/tex]

Keywords: equation of line, point-slope form

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12ab = 4 solve for a

Answers

12ab=4
ab=4/12
ab=.3
a=.3/b

Two expressions connected with equal sign is called equation. a=1/3b is the value for equation 12ab=4.

What is an equation?

Two expressions connected with equal sign is called equation.

Given 12ab=4

We need to solve for a

12ab=4

Divide both sides by 12b

a=4/12b

a=1/3b

So  a=1/3b is the value of a for equation 12ab=4

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5 1⁄5 decimeters = centimeters

Answers

Answer:

[tex]\large\boxed{5\dfrac{1}{5}\ decimeters=52\ centimeters}[/tex]

Step-by-step explanation:

[tex]1\ dm=10\ cm\qquad\text{(1 decimeters = 10 centimeters)}\\\\\text{Therefore}\\\\5\dfrac{1}{5}\ dm=\dfrac{5\cdot5+1}{5}\ dm=\dfrac{26}{5}\ dm=\dfrac{26}{5}\cdot10\ cm=\dfrac{260}{5}\ cm=52\ cm[/tex]

Final answer:

To convert 5 1/5 decimeters to centimeters, you can multiply 5 by 10 and add the result to the centimeters part (1/5).

Explanation:

To convert decimeters to centimeters, we need to know that there are 10 centimeters in 1 decimeter. So, to convert 5 1/5 decimeters to centimeters, we can multiply 5 by 10 and add the result to the centimeters part (1/5). Converting 1/5 to centimeters gives us 2 centimeters. Therefore, 5 1/5 decimeters is equal to 51 centimeters.

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Given ^MNO = ^PQR,
MN = 6 +2y, MO = 2x + 1,
PO = 3y + 4, and PR = 10 - X.
Find the lengths of PQ and PR.​

Answers

Answer:

Part 1) [tex]PQ=10\ units[/tex]

Part 2) [tex]PR=7\ units[/tex]

Step-by-step explanation:

The correct question is

The triangles MNO and PQR are congruent. (MNO≅PQR)

Find the lengths of PQ and PR.

we know that

If two figures are congruent, then its corresponding sides are congruent

In this problem

MN and PQ are corresponding sides

MO and PR are corresponding sides

NO and QR are corresponding sides

therefore

MN≅PQ

MO≅PR

NO≅QR

step 1

Find the value  of y

we have

[tex]MN = 6 +2y\\ PQ = 3y + 4[/tex]

equate the equations

[tex]3y + 4=6 +2y[/tex]

solve for y

[tex]3y-2y=6-4[/tex]

[tex]y=2[/tex]

step 2

Find the length of PQ

[tex]PQ = 3y + 4[/tex]

substitute the value of y

[tex]PQ = 3(2) + 4=10\ units[/tex]

step 3

Find the value  of x

we have

[tex]MO = 2x + 1\\PR = 10 - x[/tex]

equate the equations

[tex]2x+1=10-x[/tex]

solve for x

[tex]2x+x=10-1[/tex]

[tex]3x=9[/tex]

[tex]x=3[/tex]

step 4

Find the length of PR

[tex]PR = 10 - x[/tex]

substitute the value of x

[tex]PR = 10-3=7\ units[/tex]

A fence around the school football field is
1,666 feet long. Seven teams of students
will paint the fence. Each team will paint
an equal length of the fence. What length
of the fence will each team paint?

Answers

Each team will paint 238 ft of the fence.

Step-by-step explanation:

Length of fence = 1666 ft

Number of students teams = 7

Let x be the length covered by each team, therefore,

7x=1666

Dividing both sides by 7;

[tex]\frac{7x}{7}=\frac{1666}{7}\\x=238\ ft[/tex]

Each team will paint 238 ft of the fence.

Keywords: length, division

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5. Suppose you buy a $1999 LCD TV on layaway. If you pay 5% down and make $50 payments
every week, how many weeks will it be before you pay off the TV?

Answers

Answer:

38 Weeks

Step-by-step explanation:

1999$ x .05% = 99.95 Down Payment

Remaining Balance = 1899.05

1899.05$ / 50$ = 37.98100

It would approximately take a total of 38 weeks to pay it off!

Answer: 38 weeks

Step-by-step explanation:

$1999 * 0.05 = $99.95

1999 - 99.95 = 1899.05

1899.05/50 = 37.981

38 weeks

Consider the equations: y = 2x − 4 and y = x − 2. Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.

Answers

Answer:

The order pair is (2,0)

Step-by-step explanation:

On the picture

Answer:

(2,6)

Step-by-step explanation:

Other Questions
Which is an argument against free trade Team operating principles are sometimes included in a project charter to enhance team functioning. Which of the following statements accurately describes the value of establishing team operating principles? a. Operating principles that address the conduct of meetings and how decisions are made are especially useful in helping the team get off to a good start. b. Operating principles typically detail the specific work that each team member will perform and ensure a more complete understanding of the project. c. Operating principles identify the rules along with the punishments to be administered when the rules are broken. d. all of these A large, 68.0-kg cubical block of wood with uniform density is floating in a freshwater lake with 20.0% of its volume above the surface of the water. You want to load bricks onto the floating block and then push it horizontally through the water to an island where you are building an outdoor grill. a. What is the volume of the block? Express your answer with the appropriate unitsb. What is the maximum mass of bricks that you can place on the block without causing it to sink below the water surface? Express your answer with the appropriate units What is units of momentum ? If the skater has more mass of 60kg, what is her gravitational potential energy at the top of the 4m high half pipe? A local office supply business routinely hires younger workers for stock staff over older applicants because much of the work requires heavy lifting and good mobility. Which of the following is true in this case? Oscillation of a 260 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 640 m/s. The standing wave has four loops and an amplitude of 3.1 mm. (a) What is the length of the string? (b) Write an equation for the displacement of the string as a function of position and time. Round numeric coefficients to three significant digits. Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals, 10, h. A magnetic field is uniform over a flat, horizontal circular region with a radius of 2.00 mm, and the field varies with time. Initially the field is zero and then changes to 1.50 T, pointing upward when viewed from above, perpendicular to the circular plane, in a time of 115 ms.(a) what is the average induced emf around the border of the circular region? (Enter the magnitude in and the direction as seen from above.) magnitude direction Selet as seen from above (b) Immediately after this, in the next 65.0 ms, the magnetic field changes to a magnitude of 0.500 T, pointing downward when viewed from above. What is the average induced emf around the border of the circular region over this time period? (Enter the magnitude in uv and the direction as seen from above.) magnitude direction cas seen from above. According to _____, people measure outcomes such as pay in terms of their inputs.A. expectancy theoryB. equity theoryC. retributive justice theoryD. progressive justice theoryE. economic theory major activities of planning section include Open-end mutual funds are the most common type of investment company. Which of the following statements characterize these funds? Check all that apply. A. Make automatic reinvestment easy. B. Allow shareholders to convert shares from one fund to another within the same fund family. C. Always publicly traded on exchanges. D. Good choices only if you have lots of capital to invest. E. Convenient to own but difficult to set up. What is the value of x, given that AE || BD Put the events associated with the mechanism of action of cholera in the correct sequential order.1. Adenylyl cyclase is turned on, producing cAMP.2. Cholera binds to intestinal cells.3. CFTR channels are opened, increasing Cl-diffusion into the lumen of the intestine.4. Cholera is brought into the cell via endocytosis. The half-life of the radioactive element krypton-91 is 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 35 seconds? A=A0ekt The distance from first base to third base is 1.4times the distance from home plate to third base, which is k feet. REPRESENT THE DISTANCE FROM FIRST BASE TO THIRD BASE. 5x 2x + 3x is equal to ? What did martin luther king jr. Mean when he said that judicial decrees may not change the heart Read the quotation from "Song of Myself." You will hardly know who I am or what I mean, But I shall be good health to you nevertheless, And filter and fiber your blood." Why does Whitman use such a simple phrase as "who I am or what I mean" format? Assuming constant velocities, if a fastball pitch is thrown and travels at 40 m/s toward home plate, 18 m away, and the head of the bat is simultaneously traveling toward the ball at 18.0 m/s, how much time elapses before the bat hits the ball?a. About 0.3 sb. About 0.6 sc. About 0.9 sd. About 1.2 s