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3 years ago

15x (1/3+1/5) I need help with this one also?

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

6 0

8x

explanation:

join 1/3 + 1/5 = 8/15

15• 8/15x

multiply fractions and cancel common factor (15)

= 8x

love history [14]3 years ago

3 0

Answer:

Step-by-step explanation:

15 x (1/3+1/5) make common denominators and add

15 x (5/15+3/15) add fractions

15/1 x (8/15) 15 and 15 cancel out and become 1

1/1 x 8/1

1 x 8

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Initial value problems dy/dx+2y=3. Y(0)=1

Pavel [41]

The initial value equation is $y = \frac 12(3 - e^{-2x})$

<h3>How to solve the initial value?</h3>

The equation is given as:

$\frac{dy}{dx} +2y = 3$

Where

Y(0) = 1

Subtract 2y from both sides in the equation

$\frac{dy}{dx} = -2y + 3$

Rewrite as:

$\frac{dy}{-2y + 3} = dx$

Integrate both sides of the equation

$-\frac 12\ln|-2y + 3| = x + C_o$

Multiply through by -2

$\ln|-2y + 3| = -2x + C_1$

Take the exponent of both sides

$-2y + 3 = Ce^{-2x$

Next, we solve for C under the initial condition Y(0) = 1.

This gives

$-2(1) + 3 = Ce^{-2 * 0$

Evaluate

-2 + 3 = C

Solve for C

C = 1

Substitute C = 1 in $-2y + 3 = Ce^{-2x$

$-2y + 3 = e^{-2x$

Next, we solve for y

$y = \frac 12(3 - e^{-2x})$

Hence, the initial value equation is $y = \frac 12(3 - e^{-2x})$

Read more about initial value at:

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3 0

2 years ago

What is 6z+4x and z=2 x=3

drek231 [11]

6 x 2 + 4 x 3 = 12 + 12 = 24

6 0

4 years ago

Read 2 more answers

This question is confusing me

gizmo_the_mogwai [7]

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

5 0

3 years ago

Harry took out a loan from the bank. the variable ddd models harry's remaining debt (in dollars) ttt months after he took out th

vaieri [72.5K]

Answer:

Harry has a loan of $9000 in total. Harry obtained a loan from the bank. Explanation Harry's remaining debt, expressed in dollars, is modeled as a function of time t, expressed in months, by the function D(t). The role is played by, This function can be used to determine that $200 is being subtracted each month from the function, meaning Harry is paying $200 toward his loan. Harry has not yet made any payments, therefore we may set t=0 to obtain the total amount of his solo. Therefore, the value of D(t) will reveal the loan's net amount. Harry's borrowing, therefore, equals to $9000.

5 0

2 years ago

Please help, it would really make my day! I’ll give branliest if it’s correct! :-)

Morgarella [4.7K]

Answer:

Step-by-step explanation:

3 0

3 years ago