Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 1151977: The second hand of a clock is 8.3 centimeters long. Find the linear speed of the tip of this second hand.
0.87
104.30
1.74
0.43
18.294

Click here to see answer by josmiceli(19441) About Me 

Question 1152117: Eyjafjallajökull is a volcano in Iceland. During a recent eruption the volcano spewed out copious amounts of ash. One small piece of ash was ejected from the volcano with an initial velocity of 336 ft/sec. The height H, in feet of the ash projectile is given by the equation: H = -16t^2+336t (t is the time in seconds) the graph of this equation will be a parabola. We will assume that the volcano has no height. H=0 at t=0. Showing all steps
1.When does the ash projectile reach its maximum height?
2.What is its maximum height?
3.When does the ash projectile return to the ground?

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Question 1152226: Tammy had two jobs last year, each in a different province. One province levies a 2% tax and the other a 4% tax. She paid a total of $225 in taxes on a taxable income of $9000. How much did she earn in each province?
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Question 1152661: P=p(1+R)^2
i need to solve for R.

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Question 1152778: The value of Sara's new car decreases at a rate of 8% each year.
Write an exponential function to model the decrease in the car's value each month.
Write an exponential function to model the decrease in the car's value each week.
Write an exponential function to model the decrease in the car's value each day.
What relationship is there between the amount of decrease and the time interval measured?

Click here to see answer by MathLover1(20849) About Me 

Question 1152870: Sally can paint a room in 4 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked​ together?
Click here to see answer by VFBundy(438) About Me 
Question 1152870: Sally can paint a room in 4 hours while it takes Steve 8 hours to paint the same room. How long would it take them to paint the room if they worked​ together?
Click here to see answer by Alan3354(69443) About Me 

Question 1154320: how do you find the interest rate of this account math word problem? Serena places $2000 in an interest-earning account where the interest compounds annually,after twoyears there is $2130.60in the account> use this formula $2000(1+r)^2=2123.60
Click here to see answer by MathLover1(20849) About Me 
Question 1154320: how do you find the interest rate of this account math word problem? Serena places $2000 in an interest-earning account where the interest compounds annually,after twoyears there is $2130.60in the account> use this formula $2000(1+r)^2=2123.60
Click here to see answer by MathTherapy(10552) About Me 

Question 1154351: The lengths of two sides of the right triangle ABC shown in the illustration are given. Find the length of the third side in centimeters. See Example 1. (Objective 1)
a = 7 cm and b = 24 cm

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Question 1154391: what is the square root of 17

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Question 1154426: Use a calculator to solve the application. See Examples 9-10. (Objective 6)
Find the standard deviation of the following distribution to the nearest hundredth: 2, 5, 5, 6, 7.

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Question 1154424: The gable end of the roof shown is divided in half by a vertical brace. Find the distance h (in ft) from an eave to the peak.
80 ft41 ft
A side view of a house is given.
The left side of the roof goes up and right and is labeled 41 ft.
The left side of the roof meets the right side of the roof at the top of the house. The right side of the roof goes down and right, and ends at the same height as where the left side started.
A horizontal line connects the beginning point the left side of the roof to the end point of the right the side roof. It is labeled 80 ft and forms a triangle with the roof.
A dashed line labeled h starts at the top of the house and goes vertically down to meet to the horizontal line at a right angle.
h = ft

Click here to see answer by mananth(16946) About Me 

Question 1154425: Police sometimes use the formula
s = k

to estimate the speed s (in mph) of a car involved in an accident. In this formula, ℓ is the length of the skid in feet, and k is a constant depending on the condition of the pavement. For wet pavement, k ≈ 3.24. How fast was a car going if its skid was 196 feet on wet pavement?
s = mph

Click here to see answer by mananth(16946) About Me 

Question 1154356: The gable end of the roof shown is divided in half by a vertical brace. Find the distance h (in ft) from an eave to the peak.
80 ft41 ft
A side view of a house is given.
The left side of the roof goes up and right and is labeled 41 ft.
The left side of the roof meets the right side of the roof at the top of the house. The right side of the roof goes down and right, and ends at the same height as where the left side started.
A horizontal line connects the beginning point the left side of the roof to the end point of the right the side roof. It is labeled 80 ft and forms a triangle with the roof.
A dashed line labeled h starts at the top of the house and goes vertically down to meet to the horizontal line at a right angle.
h =
ft

Click here to see answer by mananth(16946) About Me 

Question 1154472: he approximate pulse rate p (in beats per minute) of an adult who is t inches tall is given by the formula
p = 590 vt
.
Find the approximate pulse rate of an adult who is 80 inches tall. (Round your answer to the nearest whole number.)
p = beats per minute

Click here to see answer by ikleyn(52781) About Me 

Question 1154473: The telephone cable in the illustration currently runs from A to B to C to D. How much cable (in yards) is required to run from A to D directly?
51 yd103 yd72 yd
An image contains a picture of a house, two black rays, three red labeled line segments, one blue dashed line and four labeled points.
The house is located at the top right of the image.
The two black rays, one pointing up and one pointing right, intersect in the lower left of the image. The ray pointing right is labeled East and the ray pointing up is labeled North.
Point A is located at the intersection of North and East. Point B is some distance above point A and lands on North. Point C is to the right of point B. Point D is above point C and directly in front of the house.
A dashed blue line segment connects point A to point D.
The red line segment that connects point A to point B is labeled 103 yd. The red line segment that connects point B to point C is labeled 72 yd. The red line segment that connects point C to point D is labeled 51 yd. PLEASE JUST GIVE ME THE ANSWER NOT THE FORMULA I NEED IT AS SOON AS POSSIBLE!!!

Click here to see answer by greenestamps(13200) About Me 
Question 1154473: The telephone cable in the illustration currently runs from A to B to C to D. How much cable (in yards) is required to run from A to D directly?
51 yd103 yd72 yd
An image contains a picture of a house, two black rays, three red labeled line segments, one blue dashed line and four labeled points.
The house is located at the top right of the image.
The two black rays, one pointing up and one pointing right, intersect in the lower left of the image. The ray pointing right is labeled East and the ray pointing up is labeled North.
Point A is located at the intersection of North and East. Point B is some distance above point A and lands on North. Point C is to the right of point B. Point D is above point C and directly in front of the house.
A dashed blue line segment connects point A to point D.
The red line segment that connects point A to point B is labeled 103 yd. The red line segment that connects point B to point C is labeled 72 yd. The red line segment that connects point C to point D is labeled 51 yd. PLEASE JUST GIVE ME THE ANSWER NOT THE FORMULA I NEED IT AS SOON AS POSSIBLE!!!

Click here to see answer by ikleyn(52781) About Me 

Question 1154441: 7 + 5 = ?
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Question 1154651: Simplify the Expression:
+64%5E%281%2F12%29+

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Question 1154651: Simplify the Expression:
+64%5E%281%2F12%29+

Click here to see answer by MathLover1(20849) About Me 
Question 1154651: Simplify the Expression:
+64%5E%281%2F12%29+

Click here to see answer by MathTherapy(10552) About Me 
Question 1154651: Simplify the Expression:
+64%5E%281%2F12%29+

Click here to see answer by josgarithmetic(39617) About Me 

Question 1154726: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7. (Objective 3)
a = 18
2
A right triangle has three labeled sides and three labeled angles.
One leg is labeled a.
One leg is labeled b.
The hypotenuse is labeled c.
The angle opposite the side labeled a is labeled 45°.
The angle opposite the side labeled b is labeled 45°.
The angle opposite the hypotenuse is a right angle.
b =

c =

Click here to see answer by MathLover1(20849) About Me 
Question 1154726: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 7. (Objective 3)
a = 18
2
A right triangle has three labeled sides and three labeled angles.
One leg is labeled a.
One leg is labeled b.
The hypotenuse is labeled c.
The angle opposite the side labeled a is labeled 45°.
The angle opposite the side labeled b is labeled 45°.
The angle opposite the hypotenuse is a right angle.
b =

c =

Click here to see answer by MathTherapy(10552) About Me 

Question 1154731: The higher a lookout tower is built, the farther an observer can see. That distance d (called the horizon distance, measured in miles) is related to the height h of the observer (measured in feet) by the formula
d = 1.4
h
.
How tall (in ft) must a lookout tower be to see the edge of the forest, 40 miles away? (Round your answer to the nearest foot.)

Click here to see answer by ikleyn(52781) About Me 
Question 1154731: The higher a lookout tower is built, the farther an observer can see. That distance d (called the horizon distance, measured in miles) is related to the height h of the observer (measured in feet) by the formula
d = 1.4
h
.
How tall (in ft) must a lookout tower be to see the edge of the forest, 40 miles away? (Round your answer to the nearest foot.)

Click here to see answer by MathLover1(20849) About Me 

Question 1154730: The approximate pulse rate (in beats per minute) of an adult who is t inches tall is given by the function
p(t) =
590
t
.
Write the formula in a form in which the denominator is a rational expression. (Simplify your answer completely.)
p(t) =

Click here to see answer by ikleyn(52781) About Me 

Question 1154786: The approximate pulse rate (in beats per minute) of an adult who is t inches tall is given by the function
p(t) = 590/ Radical symbol over t

.
Write the formula in a form in which the denominator is a rational expression. (Simplify your answer completely.)

Click here to see answer by MathLover1(20849) About Me 

Question 1154785: Police use the formula V (L) = sqrt(20L) to estimate the speed of a car in miles per hour, based on the length, L, in feet, of its skid marks when suddenly braking on a dry, asphalt road.
At the scene of an accident, a police officer measures a car's skid marks to be 229 feet long. Approximately how fast was the car traveling?
_______
One of the people involved in the accident says that he was traveling 48 mph when he braked. How long in feet should his car's skid marks be?
_________

Click here to see answer by josmiceli(19441) About Me 

Question 1154941: Simplify. See Example 5. (Objective 2)
3 radical symbol with little 3 over 81
+
little 3 radical over 2,187

Click here to see answer by MathLover1(20849) About Me 
Question 1154941: Simplify. See Example 5. (Objective 2)
3 radical symbol with little 3 over 81
+
little 3 radical over 2,187

Click here to see answer by josgarithmetic(39617) About Me 

Question 1154940: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 10. (Objective 3)
c = 4
A right triangle has three labeled sides and three labeled angles.
One leg is labeled a.
One leg is labeled b.
The hypotenuse is labeled c.
The angle opposite the side labeled a is labeled 30°.
The angle opposite the side labeled b is labeled 60°.
The angle opposite the hypotenuse is a right angle.
a =

b =

Click here to see answer by mananth(16946) About Me 
Question 1154940: Use the figure. Find the lengths of the remaining sides of the triangle. See Example 10. (Objective 3)
c = 4
A right triangle has three labeled sides and three labeled angles.
One leg is labeled a.
One leg is labeled b.
The hypotenuse is labeled c.
The angle opposite the side labeled a is labeled 30°.
The angle opposite the side labeled b is labeled 60°.
The angle opposite the hypotenuse is a right angle.
a =

b =

Click here to see answer by MathTherapy(10552) About Me 

Question 1155021: A 40ft flag pole has a rope tied from to top to the ground. The rope makes a 25 degree angle
with the ground. How long is the rope?

Click here to see answer by ikleyn(52781) About Me 
Question 1155021: A 40ft flag pole has a rope tied from to top to the ground. The rope makes a 25 degree angle
with the ground. How long is the rope?

Click here to see answer by mananth(16946) About Me 

Question 1155817: SIMPLIFY -4 × √( 32 ) - 3 × √( 20 )
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Question 1156388: which quadratic equations has roots of -3 and 2?

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Question 1156388: which quadratic equations has roots of -3 and 2?

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Question 1156388: which quadratic equations has roots of -3 and 2?

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Question 1156711: I am not able to find the answer
Maria was doing square roots. One day her calculator gave her this answer when she took a square root: 12.42. If this was the answer, what number did she enter into her calculator to get this answer?
thank you

Click here to see answer by josgarithmetic(39617) About Me 
Question 1156711: I am not able to find the answer
Maria was doing square roots. One day her calculator gave her this answer when she took a square root: 12.42. If this was the answer, what number did she enter into her calculator to get this answer?
thank you

Click here to see answer by ikleyn(52781) About Me 

Question 1156969: The polynomial equation x%5E3+%2B+bx+%2B+c+=+0,where b and c are rational numbers, has 5-sqrt%28+2+%29 as a root. It also has an integer root. What is it?
Click here to see answer by greenestamps(13200) About Me 

Question 1157165: m = (1/3)(xy)^2

I'm solving for x
m = 1/3(x^2^y2)
m = x^2y^2/3
3m = x^2y^2
3m/y^2 = x^2
±√3m/y^2 = x >>>> or is it ±√3m/y = x, this is my problem
±3^1/2m^1/2/(y^2)^1/2 = x
±3^1/2m^1/2/y = x

±√3m/y = x
If this is the correct answer, how is the next step?

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Question 1157179: Can someone help me solve 2 exercises?
4√81
6√64
Thank you

Click here to see answer by Alan3354(69443) About Me 

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