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leva [86]
2 years ago
8

Consider the graph of f(x) given below.

Mathematics
1 answer:
Andrej [43]2 years ago
7 0

Answer: d

Step-by-step explanation:

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At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
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2 years ago
Jim lost 4 lbs each week for 10 weeks. Express his total weight change as an integer.
yKpoI14uk [10]

Answer:

4:10

Step-by-step explanation

7 0
2 years ago
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What can be concluded about the line represented in the table? Check all that apply. x y –6 –7 2 –3 8 0 The slope is 2. The slop
Stels [109]
The first thing we must do for this case is to find the equation of the line.
 y-yo = m (x-xo)

 We have then:
 m = (y2 - y1) / (x2-x1)

m = (-3 - 0) / (2-8)

m = 1/2
 We choose an ordered pair:
 (xo, yo) = (8, 0)

 Substituting values:
 y-0 = (1/2) (x-8)

y = (1/2) x - 4
 
 From here we conclude:

 Intersection with y:
 
We evaluate x = 0 in the function:
 y = (1/2) (0) - 4

y = -4

 Slope of the line:
 m = 1/2


 Point (-2, -5):
 
We evaluate the value of x = -2 and the value of y = -5
 -5 = (1/2) (- 2) - 4

-5 = -1 - 4

-5 = - 5
 The equation is satisfied.

 Point (8, 0):
 
It is part of the table, therefore belongs to the line.

 Answer:
 
The slope is 1/2
 
The y-intercept is -4.
 
The points (-2, -5) and (8, 0) are also on the line.
7 0
2 years ago
Read 2 more answers
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
2 years ago
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What is the value of k in the equation below? 5k - 2k = 12? 1 1/5, 1 5/7, 3, 4
valkas [14]
Hi there!

5k - 2k = 12
Solve for K
3k = 12
Divide both sides by 3
3k/3 = 12/3
k = 4
The correct answer is : 4


I hope that helps!
Brainliest answer :)
8 0
2 years ago
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