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olasank [31]
3 years ago
5

If 10^y=y^10, then what is y?

Mathematics
1 answer:
Andrew [12]3 years ago
8 0

Answer:

1

Step-by-step explanation:

10 to the power of 1 is 1, 1 to the power of 10 is still 1

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Suppose that Aces can be either high or low; that is, that {A, 2, 3, 4, 5} is a straight, and so is {10, Jack, Queen, King, Ace}
Mumz [18]

Answer:

If OR is exclusive in the question, meaning that Ace can either be high or low but not both would give you 36 possible combinations. However the question isn't exactly stated in a way that makes it easy to interpret this. Your logic is right though, and it could be an error on your sources part. The possible combos are

A 2 3 4 5

2 3 4 5 6

3 4 5 6 7

4 5 6 7 8

5 6 7 8 9

6 7 8 9 10

7 8 9 10 J

8 9 10 J Q

9 10 J Q K

10 J Q K A

8 0
3 years ago
Which of the following is an expression for”doubling a number n and dividing by 3”?
kirza4 [7]

Answer:

2n/3

Step-by-step explanation:

hope this helps!! moo

4 0
4 years ago
The absolute minimum of <img src="https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20x%5E%7B2%7D%20%2B%204y%5E%7B2%7D%20-4y" id="TexFo
Dmitriy789 [7]

On the line segment x=2, f depends only on y :

f(2,y) = g(y) = 4y^2 - 4y - 4

Find the critical points of g.

\dfrac{dg}{dy} = 8y - 4 = 0 \implies y = \dfrac12

At this critical point, we have

g\left(\dfrac12\right) = f\left(2,\dfrac12\right) = 3

Check the value of f at the endpoints of the line segment.

f\left(2,0\right) = 4

f\left(2,2\right) = 12

So we have

\min\left\{f(x,y) \mid x=2 \text{ and } 0 \le y \le 2\right\} = \boxed{3} \text{ at } (x,y) = \left(2,\dfrac12\right)

7 0
1 year ago
Which of the following statements is true?
emmainna [20.7K]

Given:

A figure of a circle.

To find:

The correct statement for the given figure.

Solution:

According to the tangent secant theorem, if two tangents or two secants are drawn to the circle from an exterior point, then the measure of angle between the tangents or secants is:

\text{Exterior angle}=\dfrac{1}{2}(\text{Difference between intercepted arcs})

\text{Exterior angle}=\dfrac{1}{2}(\text{Larger arc - smaller arc})

In the given figure, the exterior angle is 32 degrees, larger arc is QAI and smaller arc is QI.

32^\circ=\dfrac{1}{2}(m(arcQAI)-m(arcQI))

Therefore, the correct option is C.

4 0
3 years ago
I need help answering these questions. I have been having some trouble in math lately, It just has not seemed to be interesting
wolverine [178]
1)
A)
f(x) has a slope of +5 (change with each x step), g(x) of +2 (m of y=mx+b), so f(x) rises 2.5 times faster than g(x)
B)
y intercepts are at x=0
f(x) has its intercept at -10
for g(x) it is the b value of y=mx+b, so 8
so the g(x) intercept is greater/above the one of f(x)

2)
A)
y intercept is at x=0 -> 12

When we started measuring the bird was already 12 miles away from its nest.
B)
average rate=(f(3)-f(1))/(3-1)
=16/2=8 [mph]
The bird moved on average with a speed of 8mph away from the nest.
C)
f(x)=8x+12

insert the 172 miles distance:
172=8x+12
160=8x
20=x

so after 20 hours it would be at a distance of 172 miles
this means we know the value from x=0 to 20 so its domain is/it is defined for x values of [0,20]

3)
A)
f(2)=225
f(5)=480

calculate slope m:
m=(f(5)-f(2))/(5-2)=(480-225)/3=255/3=85$/day

b=f(0)=f(2)-2*m=225-2*85=55
y=85x+55
B)
f(x)=85x+55

C)
Your x label is the amount of days rented, the y label the total cost/rent to pay, because y has larger values decide on some scale and the range of x values you want to draw, which should be x>=0.

Draw the points which were given, (2,225) and (5,480) and draw a line through them from one end of the diagram to the other.
5 0
4 years ago
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