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3 years ago

Four friends were born in consecutive years. The sum of their ages is 62.

Mathematics

1 answer:

Bas_tet [7]3 years ago

3 0

Answer:

4+62=66

Step-by-step explanation:

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Please help!! Problem in picture

notsponge [240]

20.if m <6=72, then m < 7=108
21. if m<8,then m<7=80
22.if m<110,then m<6=90
23.if m<123, then m<8=123
24.if m<142, then m<7=38
25.if m<13, then m<8=167
26.if m<170, then m<10
27.if m<26, then m <154
,

3 0

3 years ago

The library has DVDs on crime, adventure and science fiction.

kozerog [31]

Answer:

The library has 1,056 crime DVDs.

Step-by-step explanatiion:

Crime : Adventure : Science

11x : 6x : 10x

6x+384=10x

384=4x

x=96

The number of crime DVDs is 11x.

We found that x=96.

So, the number of crime DVDs the library has is equal to 11*96.

11*96=1,056.

Hope this helps!

6 0

3 years ago

Subject : Maths Level : High school Topic : Surds Points : 72

Mila [183]

Answer:

a = 5

Step-by-step explanation:

Simplify:

√5(√8 + √18) =
√5*8 + √5*18 =
√40 + √90 =
√4*10 + √9*10 =
2√10 + 3√10 =
(2 + 3)√10 =
5√10

The value of a:

a√10 = 5√10
a = 5

6 0

3 years ago

5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

The temperature outside Monday morning was -14. On Tuesday morning it was 4 degrees colder. Create an equation to show temperatu

Illusion [34]

Answer:

Temperature on Tuesday morning is $-18^{o}$ .

Step-by-step explanation:

Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.

In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;

Temperature on Tuesday = -14 + (-4)

= -14 -4

= -18

Therefore, the temperature on Tuesday morning is $-18^{o}$ .

6 0

2 years ago