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3 years ago

A number c added to three is between zero and negative two.

Mathematics

2 answers:

avanturin [10]3 years ago

8 0

Answer: -2 < c+3 < 0

Step-by-step explanation:

you put the smallest number on the left biggest number on the right.

pashok25 [27]3 years ago

6 0

c + 3 = ? Where -2 > ? > 0

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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

There are 425 sheets of printer paper in every pack. If Zoey needs 6800 sheets of paper for her business each week, which equati

Rashid [163]

Answer:

Step-by-step explanation:

3 0

3 years ago

Andrew jogs for 3 miles each day on the weekdays and for 6.5 miles each day over the weekend. What is the average distance that

kirill [66]

Set up the data:
3,3,3,3,3,6.5,6.5
15+13=28
28/7=4

He runs an average of 4 miles a day

7 0

3 years ago

Read 2 more answers

Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is

Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So, distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

4 0

3 years ago

Choose all the expressions that are equal to 5/9×8. A. 9÷5×8 B. 8/9×5 C. 5÷8×9 D. 5×1/9×8 E. 5×8

Charra [1.4K]

<h2>Problem:</h2>

Choose all the expressions that are equal to 5/9×8.

A. 9÷5×8

B. 8/9×5

C. 5÷8×9

D. 5×1/9×8

E. 5×8

<h2>Solution:</h2>

$\purple{ \frac{5}{9} \times 8 = \frac{40}{9} = 4 \: \frac{4}{9} }$

$\red{9 \div 5 \times 8 = \frac{9}{5} \times 8 = \frac{72}{5} = 14 \: \frac{2}{5} }$

$\red{ \frac{8}{9} \times 5 = \frac{40}{9} = \boxed{4 \: \frac{4}{9} }}$

$\red{5 \div 8 \times 9 = \frac{5}{8} \times 9 = \frac{45}{8} = 5 \: \frac{5}{8} }$

$\red{5 \times \frac{1}{9} \times 8 = \frac{5}{9} \times 8 = \frac{40}{9} = \boxed{4 \: \frac{4}{9} }}$

$\red{5 \times 8 = 40}$

<h2>Answer:</h2>

<u>B</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>D</u>

Hope it helps

5 0

3 years ago