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7nadin3 [17]
3 years ago
9

You have 27 Cherries. you have 3 bowl each bowl gets the same numbers of cherries.

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

9

Step-by-step explanation:

27/3=9

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Find all solutions of the equation in the interval [0,2pi).
Setler79 [48]
Csc theta=-2 then theta equals csc^-1(-2) then theta would equal 5pi/6, 7pi/6
3 0
3 years ago
When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
Mike can stitch 7 shirts in 42 hours. he can stitch 1 shirt in how many hours, and in 1 hour he can stitch how much of a shirt.
podryga [215]

Answer:

Mike can stitch one shirt in 6 hours and in 1 hour he can stitch \frac{1}{6} (0.167) shirts.

Step-by-step explanation:

Mike can stitch 7 shirts in 42 hours

to calculate the time that he takes to make 1 shirt, we have to divide 42 by 7.

He can stitch 1 shirt in = \frac{42}{7} = 6 hours

Now we calculate the work done in one hour.

He can stitch in 1 hour = \frac{1}{6}  shirts or 0.167 shirts

Mike can stitch one shirt in 6 hours and in 1 hour he can stitch \frac{1}{6} shirts.

5 0
3 years ago
A rectangle whose perimeter is 110 feet. The length is 4 times as long as the width. Find the length and the width.
madreJ [45]
Set up a system of equations.
l=4w
2l+2w=110

Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11

Substitute w back into the first equation.
l=4(11)=44

So, the length is 44 feet and the width is 11 feet.

Hope this helped!
8 0
3 years ago
5/10 points, 1 question ( no rude answers )
bagirrra123 [75]
The answer is b because all the points lie on the graph
3 0
3 years ago
Read 2 more answers
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