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Veseljchak [2.6K]

2 years ago

7

How can you divide 133 nickels into 8 bags so that there are the same number of nickels in each bag and the number in each bag i

s odd and there are none left over?

1 answer:

MaRussiya [10]2 years ago

3 0

There is no way to divide them because 133 is odd, so 133 divided by 8 would be 16.625.

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can someone help me with this I have to do like 18 other questions so if you can help me with those I would appreciate it!

GenaCL600 [577]

Answer:

see below

Step-by-step explanation:

1.)

(0, 4)

(1, 7)

$\frac{7-4}{1-0} = 3$

y = 3x + b

(4) = 3(0) + b

b = 4

y = 3x + 4

Rate of change: 3 initial value: 4

2.)

(0, -5)

(1, -3)

$\frac{-3-(-5)}{1-0} = 2$

y = 2x + b

(-5) = 2(0) + b

b = -5

Rate of change: 2 initial value: -5

4 0

1 year ago

1. (a) Solve the differential equation (x + 1)Dy/dx= xy, = given that y = 2 when x = 0. (b) Find the area between the two curves

erastova [34]

(a) The differential equation is separable, so we separate the variables and integrate:

$(x+1)\dfrac{dy}{dx} = xy \implies \dfrac{dy}y = \dfrac x{x+1} \, dx = \left(1-\dfrac1{x+1}\right) \, dx$

$\displaystyle \frac{dy}y = \int \left(1-\frac1{x+1}\right) \, dx$

$\ln|y| = x - \ln|x+1| + C$

When x = 0, we have y = 2, so we solve for the constant C :

$\ln|2| = 0 - \ln|0 + 1| + C \implies C = \ln(2)$

Then the particular solution to the DE is

$\ln|y| = x - \ln|x+1| + \ln(2)$

We can go on to solve explicitly for y in terms of x :

$e^{\ln|y|} = e^{x - \ln|x+1| + \ln(2)} \implies \boxed{y = \dfrac{2e^x}{x+1}}$

(b) The curves y = x² and y = 2x - x² intersect for

$x^2 = 2x - x^2 \implies 2x^2 - 2x = 2x (x - 1) = 0 \implies x = 0 \text{ or } x = 1$

and the bounded region is the set

$\left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^2 \le y \le 2x - x^2\right\}$

The area of this region is

$\displaystyle \int_0^1 ((2x-x^2)-x^2) \, dx = 2 \int_0^1 (x-x^2) \, dx = 2 \left(\frac{x^2}2 - \frac{x^3}3\right)\bigg|_0^1 = 2\left(\frac12 - \frac13\right) = \boxed{\frac13}$

7 0

1 year ago

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

nikitadnepr [17]

<span>8x+4y+(-8z^2)+[3z+(-5z)] the answer is D</span>

7 0

2 years ago

Read 2 more answers

Find the common ratio of the geometric sequence-15,-30,-60

Law Incorporation [45]

Answer:

2

Step-by-step explanation:

A geometric sequence means that each term is the previous term multiplied by a certain common ratio. For instance, here, -30 is 2 times -15, and -60 is 2 times -30. Hope this helps!

6 0

2 years ago

Setler [38]

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

Probability that it will rain on Monday = 0.2

Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

Probability that I will rain on Tuesday = 1/7= 0.14

Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

3 0

2 years ago