Find y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10A. Y=1/2.Y•12;15/4
B. Y=1/2. Y•15; 12/4
C. Y=1/16. Y•15; 15/4
D. Y=1/16. Y•2•15; 12/4

Answers

Answer 1

Answer: I think the answer to y when x=4 and z=15; if y varies jointly as x and z y=5 when z=8 and x=10 is B. Y=1/2. Y•15; 12/4.

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Which statement is true about the graph ofthe function y = 3|x – 2| + 4?A Its vertex is at (-6,0)B Its vertex is at (-2, 4)C Its vertex is at (2, 4)D Its vertex is at (4,2)

What is the result?

∫([1/x].dx/x^3)
D=[1/2, 1]

Answers

$\displaystyle\int_(.5)^1\frac{1}x(dx)/(x^3)=\int_(.5)^1(dx)/(x^4)=\left[(-1)/(3x^3)\right]_(.5)^1=\frac{7}3$

[Your notation is not 100% clear since you're not using the math tool, so if that's not what you meant, leave a comment and I'll correct the answer.]

A carpenter installed 10 windows in 4 hours.another carpenter installed 50 windows in 20 hours. Are the two carpenters working at the same rate?explain

Answers

Yes they are working at the same rate because 4x5=20 and 10 windows every four hours and 5x10= 50 so they are both working at the same rate. Or here is another answer, They are working at the same rate because one was doing 10 windows every four hours and one did 50 windows in 20 hours, so 4 x 5= 20 which is the amount of hours the other carpenter was doing so 5x10 for every four hours, and that equals 50 so they were both working at the same rate. Hope I helped :)

10/4=2.5
50/20=2.5

both carpenters are working at the same speed rate as 2.5=2.5

What are the coordinates of three points that lie on both planes of 20x+15y+12z=60 and 10x+30y+12z=60

Answers

20x + 15y + 12z = 60 ⇒ 20x + 15y + 12z = 60
10x + 30y + 12z = 60 ⇒ 20x + 60y + 24z = 120
      -45y - 12z = -60
-45y + 45y - 12z = -60 + 45y
   -12z = -60 + 45y
      -12    -12
      z = 5 - 45/12y
      20x + 15y + 12(5 - 45/12y) = 60
      20x + 15y + 12(5) - 12(45/12y) = 60
   20x + 15y + 60 - 45y = 60
   20x + 15y - 45y + 60 = 60
   20x - 30y + 60 = 60
   -60   -60
   20x - 30y = 0
      20x - 20x - 30y = 0 - 20x
       -30y = -20x
      -30 -30
      y = 2x/3
      20x + 15(2x/3) + 12(5 - 45/12y) = 60
      20x + 10x + 60 - 45y = 60
      30x - 45y + 60 = 60
      -60 -60
      30x - 45y = 0
      30x - 45y + 45y = 0 + 45y
   30x = 45y
      30 30
   x = 3/2y
      20(3/2y) + 15(2x/3) + 12(5 - 45/12y) = 60
   30y + 10x + 60 - 45y = 60
       10x + 30y - 45y + 60 = 60
   10x - 15y + 60 = 60
       -60 -60
   10x - 15y = 0
   10(3/2y) + 30(2x/3) + 12(5 - 45/12y) = 60
      15y + 20x + 60 - 45y = 60
      20x + 15y - 45y + 60 = 60
          20x - 30y + 60 = 60
      -60 -60
      20x - 30y = 0
   10x - 15y = 0 ⇒ 20x - 30y = 0
   20x - 30y = 0 ⇒ 20x - 30y = 0
      -60y = 0
   -60 -60
   y = 0
   10x - 15(0) = 0
   10x - 0 = 0
      +0 +0
      10x = 0
       10 10
      x = 0
      20x + 15y + 12z = 60
      20(0) + 15(0) + 12z = 60
      0 + 0 + 12z = 60
      0 + 12z = 60
      12z = 60
   12    12
      z = 5
       (x, y, z) = (0, 0, 5)

In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?

Answers

Answer:

33/65

Step-by-step explanation:

Answer:

.51

Step-by-step explanation:

Explain how can you use base ten blocks to find 2.16 divided by 3

Answers

For this question, let's move the decimal number 2 spaces to the right. 2.16-->216 You need 21 ten rods and 6 cubes. Why: I wouldn't do 2 hundred flats because 2 isn't divisible by 3. Put the ten rods into 3 equal group, then do the same with the cubes. You should end up with 7 in each group since 21 divided by 3 is 7. You should also end up with 2 cubes in each group. So in one group you have 72. Now move the decimal back to where it came from, 2 spaces to the left. Now you have 0.72.

The answer is 0.72 because you divide 2.18 by 3 OR You can set the amount of blocks (2.16) out 3 times and count all of them up and that's your answer

Hope it Helps!!
Good Luck:)

Which of these is the algebraic expression for "nine less than some number?"Fraction 9 over k
Fraction k over 9
9 − k
k − 9