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3 years ago

Find the area of the figure. (Hint. Decompose into two shapes and then

Mathematics

1 answer:

Brrunno [24]3 years ago

5 0

Answer: 4ft * 4ft 6ft * 6ft 4A * 4A 36.5 * 10^1 62 * 62 32 * 32 40 * 40

Step-by-step explanation:

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What is the slope of this line?

Klio2033 [76]

Answer:

Visual Description

Step-by-step explanation:

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

8 0

2 years ago

Read 2 more answers

I need help and explanations with these 5 questions.Question 1Is the expression x^3*x^3*x^3equivalent to x^(3*3*3)? Why or why n

Bess [88]

Answer:

1) No. 2) $\sqrt{x}$ 3)4x 4) $x^{\frac{3}{2}}$ or $\sqrt{x^3}$ 5) B and D.

Step-by-step explanation:

Check the pictures below

1) $x^{3} *x^{3}*x^{3}=x^{3+3+3}=x^{9}$ x^(3*3*3)=x^{27}[/tex]

For the first, we must just repeat the base e sum the exponents

For the second one, we must multiply the exponents.

According to the Exponents Law.

$x^{m}*x^{n} =x^{m+n}\\x^{m*n} =x^{mn}$

Here we have three combined Exponent laws, namely:

First on multiplying keep the 4 outside the square root,

4) The starting point of it is reminding that in a fraction, whenever we divide two fractions we have to operate the product of the first fraction times the inverse of the second one.

Then we apply the Exponent Law of a divison between same base powers, repeating the base subtracting the exponents, and simplifying it:

$x^{\frac{4}{6}}=x^{\frac{3}{2}}$

Check below

b and d, are equivalent between themselves since the same quantities of x are displayed. Notice, all we have used. Exponent Laws and Power Properties

6 0

3 years ago

What is 6/5 in simplest radical form?

natka813 [3]

Square root 30 over 5

7 0

3 years ago

If y=e3t is a solution to the differential equation

Zepler [3.9K]

Answer:

k=18, general solution does not exist.

Step-by-step explanation:

If f(t)=y=e3t is a solution to the differential equation

d2ydt2−9dydt+ky=0,

then

y = e^(3t)

y' = dy/dt = 3y

y'' = d2ydt2 = 9y

y'' - 9y' + ky = 0

9y - 9(3y) + ky = 0

(9-27+k)y = 0

solve for y

(9-27+k) = 0

k = 18

general solution is when y=e^(3t)=0, or t-> -infinity

4 0

3 years ago

You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your

rjkz [21]

Answer:

Step-by-step explanation:

B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]

where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.

We require B(n) = 0...i.e. balance of 0 after n months.

so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]

Then, with some algebraic juggling we get:

n = -[log(1 - (Ai/P)]/log(1 + i)

Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43

Also, i = (13.6/100)/12 => 0.136/12 per month

i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)

so, n = 4.15 months...i.e. 4 payments + remainder

b) Now we have A = $754.43 - $300 = $454.43 so,

n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)

so, n = 1.54 months...i.e. 1 payment + remainder

4 0

3 years ago