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3 years ago

A newborn giraffe weighs about 65 kilograms.How much it weighs in grams

Mathematics

2 answers:

gtnhenbr [62]3 years ago

8 0

65000
is the answer to the pr
oblem

Licemer1 [7]3 years ago

3 0

65kg = 65 * 1kg
= 65 * 1,000g
= 65,000g

A newborn giraffe wieghs 65kg, which, equals 65,000g

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Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

3 years ago

Which expression is represented by the diagram? o -6-(-1) o -6-1 o -5-(-1) o -5-1

cupoosta [38]

Option A:

–6 – (–1)

Solution:

Minus symbol are given in the diagram.

There are 6 minus symbol in the diagram.

From that expression 1 minus symbol is cancelled.

To find which expression represents this situation:

Option A: –6 – (–1)

Total number of minus = –6

From this cancel one minus: –6 – (–1)

–6 – (–1) = –6 + 1 = –5

So, remaining minus are –5.

This is the correct answer.

Option B: –6 –1

–6 –1 = –7

But note that remaining 5 minus are only there in the diagram.

So, this is not correct answer.

Option C: –5 – (–1)

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Option D: –5 –1

Totally 6 minus in the problem. But here only 5 minus are given.

So, this is not correct answer.

Hence –6 – (–1) is the correct expression which represented the diagram.

8 0

3 years ago

Read 2 more answers

In 2012, New York had a population of about 19 million people,

alexandr1967 [171]

Answer:

B(if the option is 10^7 instead of 107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

7 0

3 years ago

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probabili

ivolga24 [154]

Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

Mean, $\mu$ = n $\times$ p

= 36 $\times$ 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

Standard deviation, $\sigma$ = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{36 \times 0.75 \times (1-0.75)}$

= $\sqrt{6.75}$ = 2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

$\mu - 2 \sigma$ = 27 - (2 $\times$ 2.6)

= 27 - 5.2 = 21.8

$\mu + 2 \sigma$ = 27 + (2 $\times$ 2.6)

= 27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

5 0

3 years ago

I needddd helppppp pleaseee

Ksju [112]

Answer: 62

Explanation: It's an equilateral triangle

5 0

3 years ago

Read 2 more answers