What is the following product? StartRoot 12 EndRoot times StartRoot 18 EndRoot StartRoot 30 EndRoot

Answers

Answer 1

Answer:

[tex] 6\sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sqrt{12}\sqrt{18} = [/tex]

[tex] = \sqrt{12 \cdot 18} [/tex]

[tex] = \sqrt{4 \cdot 3 \cdot 9 \cdot 2} [/tex]

[tex] = \sqrt{36 \cdot 6} [/tex]

[tex] = \sqrt{36}\sqrt{6} [/tex]

[tex] = 6\sqrt{6} [/tex]

Answer 2

Following are the step by step solutions to the given expression:

Given:

[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]

To find:

solve=?

Solution:

[tex]\to \sqrt{12} \times \sqrt{18} \sqrt{30}[/tex]

[tex]\to \sqrt{2\times 2 \times 3} \times \sqrt{2\times 3 \times 3} \sqrt{2 \times 3 \times 5} \\\\ [/tex]

[tex]\to 2\sqrt{3} \times 3\sqrt{2} \sqrt{2 \times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \sqrt{2\times 3 \times 5} \\\\ \to 6\times \sqrt{3} \times \sqrt{2} \times \sqrt{2}\times \sqrt{3} \times \sqrt{5} \\\\ \to 6 \times 3 \times 2 \times \sqrt{5} \\\\ \to 36 \sqrt{5}[/tex]

Therefore, the final answer is "[tex]36\sqrt{5}[/tex]"

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Related Questions

Which statement correctly compares
1–201 and
1512
ol-201 = 151
ol-201 < 51
l-201 > 151

Answers

Answer:

Option B.

Step-by-step explanation:

Consider the correct question is "Which statement correctly compares

1. -201  and  151

-201 = 151

-201 < 51

-201 > 151"

The given numbers are -201 and 151. We need to compare these numbers.

We know that all negative numbers are less than positive numbers.

So,

-201 < 151

If both numbers are negative, then the larger negative number is the smaller number.

Therefore, the correct option is B.

rewrite 1/5:1/2 as a unit rate

Answers

Hey there! I'm happy to help!

The unit rate is how much stuff there is per 1 unit. All ratios can be rewritten as fractions, this one could be 0.2/0.5. The word per means divide, and fractions are basically dividing. So, we want the denominator to be 1.

To get 0.5 to 1, we multiply by 2. So, we will multiply the fraction by 2/2.

0.2/0.5(2/2)=0.4/1

Therefore, the unit rate is 0.4/1 or 0.4:1 or 0.4 per 1.

Have a wonderful day! :D

CAN SOMEONE HELP ME ASAP? The density of a certain material is such that it weighs 7 ounces for every 2.5 gallons of volume. Express this density in tons per cubic meter. Round your answer to the nearest hundredth.

Answers

Answer: Density = 0.23 tons per cubic meter.

Step-by-step explanation:

Formula : [tex]Density=\dfrac{Mass(in \ ton)}{Volume (in\ m^3)}[/tex]

1 ton = 32000 ounces

⇒ 1 ounce = 0.00003125 ton

⇒  7 ounces = 7(0.00003125)=  0.00021875 ton

1 gallon = 0.00378541 cubic meter

2.5 gallons = 0.009475 cubic meter

Density= [tex]\dfrac{0.00021875}{0.009475}\text{ tons per cubic meter}[/tex]

[tex]\dfrac{21875}{94750}\text{ tons per cubic meter}\approx0.23\text{ tons per cubic meter}[/tex]

Hence, Density = 0.23 tons per cubic meter.

Answer:

0.02 tons per cubic meter

Step-by-step explanation:

HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?

Answers

Answer:

33

Step-by-step explanation:

For every 5 squares, two are red and three are green.  So 3/5 of the squares are green.

3/5x55=33

Convert the following:
1 meter is equivalent to
ao feet (rounded to the nearest hundredth)

Answers

Answer:

1 meter = 3.28 feet

Step-by-step explanation:

The unit of conversion from meters to feet is given as follows;

By convention

1 yard = 09144 meters

1 yard = 3 feet

Therefore, we have;

1 foot = 0.9144/3 = 0.3048 m

Alternatively we can get;

1 inch = 0.0254 meters

1 foot = 12 inches

Therefore, we have;

1 foot = 12 × 0.0254 = 0.3048 meter

Which gives;

1 foot = 0.3048 meter

Given that 0.3048 meter = 1 foot, to find the measure of 1 meter, we proceed by dividing both sides of the equation by 0.3048 to get

0.3048/0.3048 meter = 1/0.3048 foot = 3.28084 feet

1 meter = 3.28084 feet. ≈ 3.28 feet to the nearest hundredth

Convert into slope-intercept form: [tex]y-1=m(x-3)[/tex]

Answers

Answer:

y=2x-5

Step-by-step explanation:

First simplify: y-1=2x-6

y-1=2(x-3)

First simplify and distribute everything.

y-1=2x-6

So, x equals 2 because it got distributed into the numbers inside the parenthesis.  Same with the 2 and -3.  They multiplied to become -6.

Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.

y - 1 (+ 1) = 2x -6 (+ 1)

-1(+1)=0 which leaves just the variable y on the left side.

-6(+1)=-5 which leaves 2x-5 on the right side.

This results in y=2x-5.  Hope this helped ;)

Answer:

y = 2x - 5

Step-by-step explanation:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y - 1 + 1 = 2x -6 + 1

y = 2x - 5

The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.

Answers

Answer:

The area of the shaded part is 36.53 cm²

Step-by-step explanation:

The dimension of the side of the square ABCD = 8 cm

The shaded part is seen to be the area of intersection of two quarter circles

The dimension of the radius of the quarter circles = The side length of the square

Therefore;

The dimension of the radius of the quarter circles = 8 cm

The figure can be taken as being formed by the two quarter circles with a square removed

The shaded area is the

Therefore, the area of the shaded part Sₐ, is given by the relation;

Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square

Given that the dimensions (radius) of the two quarter circles are the same, we have;

Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²

Area of the square = (Side length of the square)² = 8² = 64 cm²

Sₐ =  (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²

The area of the shaded part = 36.53 cm².

4x=24 solve equation

Answers

Answer:

x=6

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-(24)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  4x - 24  =   4 • (x - 6)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-6 = 0

Add  6  to both sides of the equation :

                     x = 6

One solution was found :

x = 6

Answer:

x= 24/ 4

Step-by-step explanation:

You can simplify it

x= 6/1 which is x= 6

Please answer it now

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Find the values of the apple, banana and lollypop below.

Pls help

Answers

Answer:

a= Apple = 3

b= Banana =5

v= Lollypop=1

Step-by-step explanation:

36 is divided into 2 giving us 18

Let apple=a

Banana=b

Lollypop=c

In the first half

An apple + 3 bananas=18

a+3b=18 (1)

Second half is further divided into 2

That is,

18÷2=9

First half of the second half

3apples=9

3a=9 (2)

Second half of the second half

1 apple + 1 banana + 1 lollypop=9

a+b+c=9 (3)

a+3b=18 (1)

3a=9 (2)

a+b+c=9 (3)

From (2)

3a=9

Divide both sides by 3

a=9/3

a=3

Substitute a=3 into 1

a+3b=18

3+3b=18

3b=18-3

3b=15

Divide both sides by 3

b=15/3

=5

b=5

Substitute the value of a and b into (3)

a+b+c=9

3+5+c=9

8+c=9

c=9-8

c=1

Therefore,

a= Apple = 3

b= Banana =5

v= Lollypop=1

The Nguyen family and the Reed family each used their sprinklers last summer. The Nguyen family's sprinkler was used for 15 hours. The Reed family's sprinkler was used for 25 hours. There was a combined total output of 1175L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour? Nguyenfamily'ssprinkler:Lperhour Reedfamily'ssprinkler:Lperhour

Answers

Answer:

Nguyen family's sprinkler: 20 L per hour Reed family's sprinkler: 35 L per hour

Step-by-step explanation:

Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...

  15n +25r = 1175 . . . . total sprinkler output

  n + r = 55 . . . . . . . . . sum of two output rates

The second equation tells us we can substitute n = 55 -r into the first equation:

  15(55 -r) +25r = 1175

  10r = 1175 -825 . . . . . . subtract 825

  r = 350/10 = 35 . . . . . . divide by 10

  n - 55 -35 = 20 . . . . . . find n from r

Nguyen family's sprinkler: 20 L per hour

Reed family's sprinkler: 35 L per hour

Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches of
ornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?

Answers

Answer:

Day lilies and ornamental grass are $2, $8 respectively

Step-by-step explanation:

step one

we need to represent the scenario with a system of equation

let day lilies be represented with x

and ornamental grass be y

Hence we have

[tex]x+9y= 74--------1\\x+14y= 114------2[/tex]

Let us subtract 1 from 2 we have

[tex]x+14y= 114------2\\\\\\ -(x+9y= 74--------1\\=0+5y= 40[/tex]

Dividing both sides by 5 we have

y= 40/5

y= 8

step 2

Substitute y = 8 in equation 1 we have

x+9(8)= 74

x+72= 74

x=74-72

x= 2

Day lilies and ornamental grass are $2, $8 respectively

c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on green? If the probability of it is 39/300

Answers

Answer:

130

Step-by-step explanation:

Probability of green:

P= 39/300

Number of attempts:  

1000

Expected number of landing on green:

Expected frequency = probability × number of trials1000*39/300 = 130 times

Answer: 130 times

The graph of f(x)=sin(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 4 and shifting it 3 units down. What is the equation of the new function g(x) ?

Answers

Answer:

f(x) = 4sin(x) - 3

Step-by-step explanation:

Find the area of each polygon

Answers

Answer:

1. 66 ft²

2. 102 cm²

3. 35 in.²

4. 7.36 in.²

5. 60 in.²

6. 91 m²

7. 48 m²

5. 567 mm²

9. 255 m²

10. The side length of the square is 9 cm

The area of the square is 81 cm²

Step-by-step explanation:

1. The area of the parallelogram = 11 × 6 = 66 ft²

2. The area of the triangle = 1/2×12×17 = 102 cm²

3. The area of the trapezium = 1/2×(5 + 9)×5 = 35 in.²

4. The area of the triangle = 1/2×4.6×3.2 = 7.36 in.²

5. The area of the parallelogram = 10 × 6 = 60 in.²

6. The area of the trapezium = 1/2×(15 + 11)×7 = 91 m²

7. The area of the parallelogram = 8 × 6 = 48 m²

5. The area of the trapezium = 1/2×(27 + 36)×18 = 567 mm²

9. The height of the wall = 17 m - 8 m = 15 m

The area = 17 × 15 = 255 m²

10. The dimensions of a square with perimeter = 36 cm are;

Side length = 36/4 = 9 cm

The area of the square = 9 × 9 = 81 cm².

Which of the following expressions represents the distance between -3.9, and -4.7?

Answers

Answer:

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }[/tex]

Step-by-step explanation:

[tex]d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } [/tex]

[tex]d = \sqrt{(1 + 4)} = \sqrt{5} [/tex]

Use the formula for the volume of a cylinder to find the volume of a water tank (in ft with a radius of 15 feet and a height of 35 feet. Round to two decimal places.

Answers

Answer:

24,740.04 ft³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Plug in the values and solve for V:

V = [tex]\pi[/tex](15²)(35)

V = 24740.04215

Round:

V = 24,740.04 ft³

The volume of a water tank will be; 24,740.04 ft³.

What is the volume of a cylinder?

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder =  πr²h

where r is the radius and h is the height.

We have been given a cylinder that has a radius of 15 feet and a height of 35 feet.

We need to find the volume of a water tank.

Now Plug in the values and solve for V:

V = π(15²)(35)

V = 24740.04215

Round: V = 24,740.04 ft³

Hence, the volume of a water tank will be; 24,740.04 ft³.

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Type the correct answer in the box. Simplify this expression: 4(1 – 3x) + 7x – 8.

Answers

Answer:

-4 -5x

Step-by-step explanation:

4(1 – 3x) + 7x – 8.

Distribute

4 -12x +7x -8

Combine like terms

-4 -5x

Answer:

The simplified answer of this expression is -5x - 4

Step-by-step explanation:

4(1 - 3x) + 7x - 8

Distribute 4 to (1 - 3x)

4 - 12x + 7x - 8

Rearrange the terms so it'll be easier to combine them.

4 - 8 - 12x + 7x

Combine like terms.

-4 - 5x

Put the equation in standard form.

-5x - 4

What is 100,000+4,000+800+5 in standard form

Answers

Answer: 104,805

Step-by-step explanation:

just add

Answer:

104,805

Step-by-step explanation:

add it in each placement form

What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right

Answers

Answer:

D

Step-by-step explanation:

When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.  

When you replace x with (x-7) the equation will be converted into

y = ((x-7)+4)

y = x-3

When you graph this you see it has a x-intercept of 3 and a y-intercept of -3

To find the distance add the 2 x values together:

-4 + (-3) = ?

-4 -3 = ?

-7 = ?

Therefore the graph will shift units right

Round 2.1 to the nearest whole number.

Answers

When you round 2.1 to the nearest whole number, the answer will be 2.

Answer:

2 is the answer

Step-by-step explanation:

to round 2.1 to the nearest whole number consider the tents value of 2.1 which is 1 end less than five therefore we have to round down the ones place value of 2.1 . 2 remains 2 and the decimal point is removed.

2.1 to the nearest whole number is 2

Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?

Answers

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~

WILL MARK BRAINLIEST Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

Answers

Answer:

third option

Step-by-step explanation:

∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus

Δ ABC ~ Δ FDE by the AA postulate

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AB}{FD}[/tex] , substitute values

[tex]\frac{x}{z}[/tex] = [tex]\frac{w}{r}[/tex] ( multiply both sides by z )

x = z × [tex]\frac{w}{r}[/tex]

The expression to solve for x would be x = r × w/z Therefore, the correct option is 3.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Since,

∠ E = 180° - (65 + 53)°

= 180° - 118° = 62°,

then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° ,

Thus, Δ ABC ~ Δ FDE are congruent by the AA postulate.

Since the triangles are similar then the ratios of corresponding sides are equal so,

BC / DF = AB / ED

Substitute;

x / r = w/ z ( multiply both sides by z )

x = r × w/z

Therefore, the correct option is 3.

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ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.

Step-by-step explanation:

The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.

Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.

Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.

Thus, m<CBD = 55°, which is ½ of m<arc CD.

m<arc CD = 110° = m<CAD.

m<CBD = ½ of m<CAD = 55°.

The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."

really urgent...i need the working also ...pls help me​

Answers

Answer:

See below.

Step-by-step explanation:

In each case, you are looking for time. We know speed is distance divided by time. Lets start with the speed formula.

speed = distance/time

Now we solve it for time. Multiply both sides  by time and divide both sides by speed.

speed * time = distance

time = distance/speed

Time is distance divided by speed. In each problem, you have a speed and a distance. Divide the distance by the speed to to find the time.

1) speed = 44.1 km/h; distance = 150 km

time = distance/speed = 150 km/(44.1 km/h) =

= 3.401 hours = 3 hours + 0.401 hour * 60 min/hour = 3 hours 24 minutes

2) speed = 120 km/h; distance = 90 km

time = distance/speed = 90 km/(120 km/h) =

= 0.75 hours = 0.75 hour * 60 min/hour = 45 minutes

3) speed = 125 m/s; distance = 500 m

time = distance/speed = 500 m/(125 m/s) =

= 4 seconds

PLEASE HELP! I WILL GIVE BRAINLIEST (8.02 MC) A pair of equations is shown below: y = 7x − 9 y = 3x − 1 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

Step-by-step explanation:

slope intercept form: y=mx+b

m= slope

b= y-intercept

y= 7x - 9

slope= 7

y-int.= -9

y= 3x - 1

slope 3

y-int.= -1

7x-9 = 3x-1

Add 9 to both sides: 7x = 3x +8

Subtract 3 from both sides: 4x = 8

Divide by 4 on both sides: x =2

Substitute 8 into the equation: y = 3(2) -1

y = 5

Solution: (2,5)

Please Solve this, it would be extremely helpful for me.
[tex]{\tt{\fbox{\red{Trigonometry}}}}[/tex]

In the figure given below,

AB ll EF ll CD. If AB = 22.5 cm,

EP = 7.5 cm, PC =15 cm and

DC = 27 cm. Calculate:

(i) EF (ii) AC

Answers

Answer:

Step-by-step explanation:

1) ΔCPD & ΔEPF

∠CPD = ∠EPF   { Vertically opposite angles}

∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}

ΔCPD ≈ΔEPF  {AA criteria for similarity }

[tex]\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\[/tex]

Cross multiply

EF * 15 = 27 * 7.5

[tex]EF =\frac{27*7.5}{15}\\\\[/tex]

EF = 27 * 0.5

EF = 13.5 cm

ii) EF // AB, so Triangles ACB & ECF are similar triangles

[tex]\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}[/tex]

[tex]AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm[/tex]

AC = 37.5 cm

can someone please please help me :/ I have to get this right. please help​

Answers

Answer: Choice B. f(x) = 100 - 68x

Work Shown:

Solve for y. Then replace y with f(x).

[tex]680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\[/tex]

Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.

Answer:

choice B

Step-by-step explanation:

I did this problem like 6 months ago......

What are the opposites of 3,7,5, and -2 2

Answers

Answer:

-3, -7, -5, 2, and -2

Step-by-step explanation:

When you are looking for opposites just think about a number line.

You are on the positive side

What is the opposite of a positive... negative

The same for the other way around

What is the opposite of a negative... positive

Answer:

Step-by-step explanation: The opposites are what you would imagine them to be, positive and negative.

the answer is -3, -7, -5 and 22

please help, not so good with this subject

Answers

Answer:

I believe the answer is d

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

In this case, since [tex]\sqrt{81}[/tex] can be simplified to 9 and 9 can be written as a fraction (9/1) it is a rational number.

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What is the difference between reading a book for entertainment versus reading a book as protest literature? In what way could a simple book change the world? How does it do it exactly for you? How did Spiegelmans book and Urreas book do this for you? PLEASE HELP!!!!!!! FIRST CORRECT ANSWER WILL BE THE BRAINLIEST....PLEASE HELP Lunch Choices of StudentsThe bar graph shows the percent of students that chose each food in the schoolcafeteria. Which statement about the graph is true? Name four types of salts When you check your lights, you should ensure that all the lights work and the lenses are clean. A worker wants to load a 12 kg crate into a truck by sliding the crate up a straight ramp which is 2.5 m long and which makes an angle of 30 degrees with the horizontal. The worker believes that he can get the crate to the very top of the ramp by launching it at 5 m/s at the bottom and letting go. But friction is not neglible; the crate slides 1.6 m upthe ramp, stops, and slides back down.Required:a. Assuming that the friction force actingon the crate is constant, find its magnitude. b. How fast is teh crate moving when it reachesthe bottom of the ramp? A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and the string vibrates forming 8 loops. When the stone is immersed in water 10 loops are formed. The specific gravity of the stone is close toA) 1.8B) 4.2C) 2.8D) 3.2 Below are works cited entries for an encyclopedia article about benjamin franklin. select the one that is completely correct. Ultimate Sportswear has $150,000 of 8% non-cumulative, non-participating, preferred stock outstanding. Ultimate Sportswear also has $550,000 of common stock outstanding. In the company's first year of operation, no dividends were paid. During the second year, the company paid cash dividends of $35,000. This dividend should be distributed as follows:a. $8,750 preferred: $26,250 common.b. $0 preferred: $35,000 common.c. $12.000 preferred: $23.000 common.d. $19.000 preferred: $16.000 common e. $17,500 preferred; $17,500 mmn. A computer uses a programmable clock in square-wav e mode. If a 500 MHz crystal is used, what should be the value of the holding register to achieve a clock resolution of (a) a millisecond (a clock tick once every millisecond) QUICK true or false secondhand smoke enters the air from two sources Regulation SHO:________. I. requires every sell order to be marked either ""long sale"" or ""short sale"" II. requires every buy order to be marked either ""long purchase"" or ""short purchase"" III. places limits on ""naked"" short sales of equity securities IV. places limits on ""covered"" short sales of equity securities" A cube has a mass of 100 grams and its density is determined to be 1 g/cm3. The volume of the cube must be _____. 0.1 cm3 1 cm3 10 cm3 100 cm3 When summarizing the ________ of a plot, one should notice the key ideas about how the conflict builds. A. Beginning B. Middle C. Resolution D. Ending Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -7.5 and 5.4 II. LEE EL SIGUIENTE TEXTO, LUEGO IDENTIFICA Y ESCRIBE EL TEMA Y LOS SUBTEMAS QUE LO SUSTENTAN: Los orgenes de la danza, considerada la primera de todas las artes, habra que buscarlos en los inicios de la humanidad. Nuestros antepasados ya efectuaban bailes para pedir proteccin a los espritus y a sus dioses. Estos ritos fueron extendindose cada vez ms, hasta que empezaron a practicarse durante diversas actividades y celebraciones. De esta forma aparecieron danzas de caza, de siembra, de recoleccin, de cambio de estacin, de lluvia, de guerra, de matrimonio Muchas de esas danzas tradicionales han llegado hasta nuestros das. Tema: ______________________________________ Subtema: ____________________________________ Solo un hombre mortal lleg a vivir en el Olimpo, el reino de los dioses. Se llamaba Prometeo, quien tena constantemente conflictos con Zeus debido a que este dios retirara el uso del fuego por parte de los humanos, aunque con buena intencin. Como castigo por sus infracciones, Zeus conden a Prometeo a vivir encadenado a una roca en las montaas del Cucaso por toda la eternidad. De ese modo, cada da, un guila -el smbolo de Zeus- volaba a la roca y se coma el hgado de Prometeo. Como era inmortal, su hgado se regeneraba solo para que el castigo se repitiera al da siguiente. Finalmente, Heracles -hijo de Zeus- mat al guila y liber a Prometeo de su castigo. Eso s, Prometeo deba llevar eternamente un anillo con un trozo de la piedra a la que estuvo atado para que le recuerde que no deba contradecir a Zeus. Tema: ______________________________________ Subtema: ____________________________________ Algunos seres humanos dedican toda su vida a la creacin de centros de ayuda y proteccin de animales. En Kenia, un pas africano, un grupo de personas se esfuerza a diario por mantener un orfanato para cras de elefantes que han perdido a sus madres. Las personas que trabajaban all se enfrentan a una dura tarea, porque sabes todo lo que hay que hacer cada da para atender a esos pequeos? Primero se les da el bibern, porque ellos no son capaces de absorber la leche con su trompa. Las cras deben beber en cada toma cerca de diez litros de leche. Y no siempre quieren hacerlo! Despus, hay que sacar a los elefantes de paseo. Salen todas las cras a recorrer los alrededores acompaadas por sus cuidadores, quienes con una sombrilla procuran que no se les d el sol en exceso, o acaso taparlas con una especie de manta, cuando hace mucho fro. A continuacin, llega la hora del bao. El aseo de los elefantes es fundamental para su salud. Los cuidadores deben baarlos para que sientan frescos, y cubrirlos de barro para endurecer su piel. Luego, tras otro bibern, es el momento de jugar. Entonces, las cras se divierten con sus juguetes preferidos: grandes palos, enormes piedras, ruedas de goma Eso s, de vez en cuando hay que cambiar los juguetes, porque los elefantes se aburren pronto de todo. Por ltimo, cuando llega la noche, nuevo bibern y a dormir! Pero el trabajo de los cuidadores no acaba todava, porque sabas que las cras de elefante no pueden dormir solas? Aunque parezca mentira, necesitan siempre alguien a su lado. Tema: ______________________________________ Subtema: ____________________________________ Labor productivity growth can be attributed to: a. improvement in technology. b. a decline in university attendance. c. an increase in population growth. d. a decline in the physical capital per worker. Select the correct answer. Which triangles in the diagram are congruent? A. triangle 1 and triangle 2 B. triangle 1, triangle 2, and triangle 3 C. triangle 1 and triangle 3 D. triangle 1, triangle 3, and triangle 4 A sample of 0.562 g of carbon is burned in oxygen in a bomb calorimeter, producing carbon dioxide. Assume both the reactants and products are under standard state conditions, and that the heat released is directly proportional to the enthalpy of combustion of graphite. The temperature of the calorimeter increases from 26.74 C to 27.93 C. What is the heat capacity of the calorimeter and its contents? What is the approximate volume of the whole sphere? Use pie=3.14 and round to the nearest whole cubic unit.a. 42 cubic unitsb. 126 cubic unitsc. 4,187 cubic unitsd. 73,385 cubic unitsif you could awnser this as soon as possible that would be great :) the dot plot above identifies the number of pets living with each of 20 families in an apartment building .what fraction of families have more than two pets