What is anothe way to write 5x754

Steve spent a total of $43.78 to buy some school supplies that would be needed for the year. He spent $27.86 for a backpack, and

Nataly_w [17]

You can multiply the price of the journals with the answer choices and add that amount with how much his backpack cost and that'll give you your final cost.

<h2>Answer: C. 4 notebooks</h2>

5 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x² – 4 into the quadratic formula?

Romashka [77]

-2 = - x + x^2 -4 => x^2 - x - 4 + 2 = 0

x^2 - x - 2 = 0

a is the coefficient of x^2 => a = 1

b is the coefficient of x => b = - 1

c is the constant term => c = - 2

quadratic equation: [- b +/- √(b^2 - 4ac) ] / 2a =

= { 1 +/- √[ (-1)^2 - 4(1)(-2)] } / (2(1) = { 1 +/- √ (1 + 8) } / 2 = {1 +/- √9} / 2 =

= { 1 +/- 3} / 2

4 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x

V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

$x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$

When you will look between points , 0 and $x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$ ,the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to $\frac{\pi}{4}$ .

Required volume of solid obtained

$=\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}$

=8-4√2 cubic units

5 0

3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$