The expression 3 radical 18 is equivalent to a) 9 radical 2 b) 3 radical 2 c) 3 radical 6 d) 9 radical 3

Answers

Answer 1

Answer: $3√(18)$
$3√(9 * 2)$
$3√(9)√(2)$
$3(3)√(2)$
$9√(2)$

The answer is A.

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How to solve this system of equation 3x + y= 17 and 4x + 2 y = 20

Answers

3x + y= 17 (a)
4x + 2 y = 20 (b)

Multiply (a) by 2:

6x + 2y = 34 (a)
4x + 2y = 20 (b)

make: (a) - (b)

2x = 14 -----> x =7

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

Replace the value of x = 7 in one of anterior equation:

3x + y= 17
3 x 7 + y = 17
21 + y = 17
y = 17 - 21
y = -4

What's this answer???

Answers

Youn could test all of the options by putting 8 and 3 in for a and b.

A. a - b = 5
8 - 3 = 5
5 = 5

B. a + b = 5
8 + 3 = 5
11 ≠ 5

C. a - b = 8
8 - 3 = 8
5 ≠ 8

D. a + b = 8
8 + 3 = 8
11 ≠ 8

As you can see, the only one that works is A. a - b = 5.

Two joggers, one averaging 7 mph and one averaging 5 mph, start from a designated initial point. The slower jogger arrives at the end of the run 45 minutes after the other jogger. Find fhe distance of the run.

Answers

22.5 miles long

basically all you have to do is count out the factors until you reach two number of 45 apart

  DIFFERENCE
7MPH 5MPH BETWEEN THEM

7 5 2
14 10 4
21 15   6
28 20 8
35 25 10
42 30 12
49 35 14
56 40 16
63 45 18
70 50   20
77 55   22
84 60   24
91 65 26
98    70 28
105    75 30
112    80 32
119 85 34
126 90 36
133 95 38
140    100 40
147 105 42
154 110 44
161 115 46

considering the differences are even it means it has to fall in the middle. if you count from the top it is 22.5 numbers down giving you the number of miles.
I'm sure there is an easier way but this is how i would solve it. :)

Final answer:

The distance of the run is 13.125 miles. The total time for the slower jogger was found to be 2.625 hours. Thus, both joggers ran the same distance, but at different speeds resulting in different finish times.

Explanation:

The problem deals with the concept of relative speed in mathematics. To find the distance of the run, we first need to figure out the time it took for each jogger to finish the run. We know that the slower jogger finished 45 minutes after the faster one. Since the speed equivalence is expressed in miles per hour (mph), let's convert 45 minutes into hours by dividing 45 by 60, giving us 0.75 hours.

Given that the slower jogger runs at 5 mph, and they took 0.75 hours longer than the faster one, we know they ran for a certain time 't', so we can represent this as t = total time of slower jogger's run.

The faster jogger ran at 7 mph. Since the jogger was 0.75 hours ahead of the slower one, the time would be represented by t - 0.75 hours = total time of faster jogger's run. The distance travelled by each jogger is 'speed x time'.

Following this, we equal these distances because it's the same course: 5t = 7(t - 0.75).

Solving this equation gives us t = 2.625 hours (total time for slower jogger). To find the run's distance, we can now substitute total time into either jogger's speed x time calculation. We'll use the slower jogger here: Distance = 5t = 5*2.625 = 13.125 miles.

Learn more about Relative Speed here:

brainly.com/question/14362959

#SPJ3

6^x+8=17^2x-2 can I have help

Answers

$6^(x+8)=17^(2x-2)\ \ \ \ \ \ |both\ sides\ log_6\n\nlog_66^(x+8)=log_617^(2x-2)\n\nx+8=(2x-2)log_617\n\nx+8=2xlog_617-2log_617\n\nx-2xlog_617=-2log_617-8\n\nx(1-2log_617)=-2log_617-8\ \ \ \ |divide\ both\ sides\ by\ (1-2log_617)\n\nx=(-2log_617-8)/(1-2log_617)\n\nx=(-(log_617^2+8))/(-(log_617^2-1))\n\nx=(log_6289+8)/(log_6289-1)$

The power generated by a wind turbine depends on the wind speed . The expression 800 v^3 gives the power in watts for a certain wind turbine at wind speed v in meters per second . If the wind speed triples , by what factor does the power generated by the wind turbine increase ? 2) Can you write the expression 49x^2y^2z^2 using only one exponent ? Show how or explain why not ?

Answers

Power = 800v³

If the speed triples, v is replaced by 3v.

Power = 800*(3v)³ = 800*27v³ = 27*(800v³)

The power increases by 27 times.

2) 49x²y²z²

The expression can be written using one exponent

49x²y²z² = 7²* x² *y² * z² = (7xyz)²

= (7xyz)²

1. it would increase by 27 times
in other words, 3^3 times

2. You can rewrite the expression using one exponent because each variable is being squared and multiplied by each other
if you had 3^2 x 4^2 it would be 144 (9 x 16)
same as if you had (3 x 4)^2 which is 12^2, which is also 144
the expression would be (7xyz)^2

Find the area of the shaded sector (It is 45 degrees with a radius of 7) Help!!!