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Black_prince [1.1K]
3 years ago
5

Which equation can be used to find the number of wolves in the state on January 1? A zoologist is recording the loss of wolves i

n her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier. What is the number of wolves in the state on January 1? w−84=−23 w−23=84 23−w=84 w + 23 = 84
Mathematics
1 answer:
shusha [124]3 years ago
3 0
There were 23 fewer wolves, and there were 84 left after one year

w - 23 = 84

is your answer

because there were 107 wolves the previous year

hope this helps

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The table shows a student's proof of the quotient rule for logarithms.
nikklg [1K]

Answer:

The error is at step (3) .

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

Step-by-step explanation:

The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by  assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

\log_{b}(\frac {b^{x}}{b^{y}})

= \log_{b}(b^{x - y})   [by using the laws of indices]

All other steps are correct.

5 0
3 years ago
What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)
Finger [1]

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

4 0
3 years ago
Find the volume of the cone. Diameter:14 m, Slant Height:25 m​
BaLLatris [955]

Answer:

1232m^3

Step-by-step explanation:

d = 14m

r = 7m

l = 25m

h = ?

h = root l^2- r^2

h = root 25^2- 7^2

h = root 625- 49

h = root 576

h = 24m

volume of cone = 1/3 pie r^2 h

= 1/3*22/7* 7*7*24

= 22*7*8

= 154*8

= 1232m^3

6 0
2 years ago
Read 2 more answers
Operations with radical expression
lord [1]

Hello from MrBillDoesMath!

Answer:

41 sqrt(3)

Discussion:

My first reaction to the problem was:

sqrt(27) = sqrt ( 3 * 9) = 3 sqrt(3)    and

sqrt(48) = sqrt (3*16)  = 4 sqrt(3).

So...

7 * sqrt(27) +  5 sqrt(48) =

7 * (3 sqrt(3)) + 5 * (4 sqrt(3)) =

21 sqrt(3) + 20 sqrt(3) =

41 sqrt(3)

Regards,  

MrB  

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


7 0
3 years ago
Shanice had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
stira [4]

$20 - $6 =$14

Therefore, you spent $14 dollars on seven tickets.

14/7=2

You spent two dollars on each ticket.

3 0
2 years ago
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