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Oksanka [162]
3 years ago
13

Evaluate the expression when a= 7 and b= 6. 4a + b

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
8 0

Answer: 34

Step-by-step explanation: 4(7)+6

28+6 = 34

tatuchka [14]3 years ago
4 0

Answer:

34

Step-by-step explanation:

4(7) + 6

(4×7) + 6

28 + 6 = 34

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What is 5/20 in its simplest form
notsponge [240]
5/20 in simplest form 

1) 5/20 can be divided by 5 

5 ÷ 5 = 1 
20 ÷ 5 = 4 

It cant be divided any more 

5/20 in simplest form is 1/4 
7 0
3 years ago
Read 2 more answers
x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
June starts a savings account and puts $1,500 in it. She ears a compound interest of 3% in 3 years. How much is the balance?
MrMuchimi

Answer:

$1,635

Step-by-step explanation:

she makes $45 a year so if you multiply that by 3 you get $135

6 0
3 years ago
Emily gives her bird 1/8 cup of bird seeds along with 1/3 cup of grains each day. How much food is given each day to the bird
ANEK [815]

Answer:

11/24 cup

Step-by-step explanation:

What you would do is add 1/8 plus 1/3. To add two fractions, each much have the same denominator. In this case, you would need to multiply 1/8 into 3/24 by multiplying 1/8 by 3 on the denominator and numerator. For 1/3, multiply each the numerator and denominator by 8 getting the fraction 8/24. Now you can line up each fraction and add the numerators, keeping the denominator at 24. That answer would be 11/24. This cannot be simplified, so the answer is 11/24 cup of food.

Whenever you are confused with assignments, it is best to tell your parent to help you or teacher the next day. Hope this helps though!

6 0
3 years ago
A playhouse is in the shape of a regular octagonal pyramid with a side length of 3 feet and a slant height of 12 feet. The wood
g100num [7]
I believe it is 144 dollars
3 0
3 years ago
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