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3 years ago

I really really really need help in a rush

Mathematics

1 answer:

GaryK [48]3 years ago

4 0

16 because there are four fruits and four combinations. 4×4=16

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TEA [102]

This is an arithmetic series,
so
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73

S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925

Answer : 925

8 0

4 years ago

Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

4 years ago

Guyss please help me with this question. I tried a thousand times but it's still incorrect.

Shalnov [3]

Answer: $17.68cm$

Step-by-step explanation:

Using the area formula of a cone, find the height first.

$A=\pi r(r+\sqrt{h^2+r^2})$

Solve for h,

Begin by dividing by $\pi r$

$\frac{A}{\pi r}=r+\sqrt{h^2+r^2}$

Subtract r.

$\frac{A}{\pi r}-r=\sqrt{h^2+r^2}$

Square both sides.

$(\frac{A}{\pi r}-r)^2=(\sqrt{h^2+r^2})^2$

$(\frac{A}{\pi r}-r)^2=h^2+r^2$

Subtract $r^2$

$(\frac{A}{\pi r}-r)^2-r^2=h^2$

Extract the square root.

$\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =\sqrt{h^2}$

$\sqrt{(\frac{A}{\pi r}-r)^2-r^2 } =h$

Plug in your values.

$\sqrt{[\frac{670cm^2}{(3.14)(8cm)}-(8cm)]^2-(8cm)^2 } =h$

Solve;

$\sqrt{[\frac{670cm^2}{25.12cm}-(8cm)]^2-(8cm)^2 } =h$

$\sqrt{[26.67cm-(8cm)]^2-(8cm)^2 } =h$

$\sqrt{(18.67cm)^2-(8cm)^2 } =h$

$\sqrt{348.57cm^2-64cm^2}=h$

$\sqrt{284.57cm^2}=h$

$15.77cm=h$

------------------------------------------------------------------

Now, to find the slant height use this formula: $l=\sqrt{h^2+r^2}$

$l=\sqrt{(15.77cm)^2+(8cm)^2}\\l=\sqrt{248.69cm^2+64cm^2}\\ l=\sqrt{312.69cm^2}\\ l=17.68cm$

8 0

3 years ago

5. What is the inverse function of

Varvara68 [4.7K]

Answer:

i think that it is. C.

i think it will help

6 0

3 years ago

Read 2 more answers

Calculate 5% of 88.5?

morpeh [17]

5% is just another way of writing 5/100

So we have 5/100 of 88.5 → 5100×88.5

This is the same as 5×88.5/100=5×0.885

But 5 is 1/2×10

So we can write 5×0.885 as 1/2×10×0.885

=1/2×8.85=4.425

hope it helps!

4 0

4 years ago

Read 2 more answers