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3 years ago

9

Juliana bought a pack of stickers There are 15 stickers in the pack, and 8/10 of the stickers are hearts. How many stickersin th

e pack are hearts?

2 answers:

algol133 years ago

7 0

Search it up and I hope that helps

irga5000 [103]3 years ago

3 0

12. You do 8/10 times x/15, you multiply 15 times 8 which equals 120 then divide by 10

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Evaluate Dx / ^ 9-8x - x2^

Solnce55 [7]

It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for $\sqrt x$ .

In that case, you want to find the antiderivative,

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}$

Complete the square in the denominator:

$9-8x-x^2=25-(16+8x+x^2)=5^2-(x+4)^2$

Now substitute $x+4=5\sin y$ , so that $\mathrm dx=5\cos y\,\mathrm dy$ . Then

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\int\frac{5\cos y}{\sqrt{5^2-(5\sin y)^2}}\,\mathrm dy$

which simplifies to

$\displaystyle\int\frac{5\cos 
y}{5\sqrt{1-\sin^2y}}\,\mathrm dy=\int\frac{\cos y}{\sqrt{\cos^2y}}\,\mathrm dy$

Now, recall that $\sqrt{x^2}=|x|$ . But we want the substitution we made to be reversible, so that

$x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)$

which implies that $-\dfrac\pi2\le y\le\dfrac\pi2$ . (This is the range of the inverse sine function.)

Under these conditions, we have $\cos y\ge0$ , which lets us reduce $\sqrt{\cos^2y}=|\cos y|=\cos y$ . Finally,

$\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C$

and back-substituting to get this in terms of $x$ yields

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}=\sin^{-1}\left(\frac{x+4}5\right)+C$

4 0

3 years ago

nevsk [136]

Answer:

so originally there was 37 now there is 25 so if you trying to find out how many left you take 37-25=12 and 12 is how many left that zoo. hope this helps

i would appreciate the brainliest

8 0

3 years ago

Read 2 more answers

A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the sphere

cricket20 [7]

∆volume = 4/3 *pi * (R^3 -r^3 )
= 4/3 *pi*((6)^3 -(3)^3)
= 252*pi
= 791.68 m^3

7 0

3 years ago

Read 2 more answers

Find the area and the circumference of the circle with the radius 6yd.

fgiga [73]

Answer:

<h2>A = 36π yd² ≈ 113.04 yd²</h2><h2>C = 12π yd ≈ 37.68 yd</h2>

Step-by-step explanation:

The formula of an area of a circle:

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

<em>r</em><em> - radius</em>

<em />

We have <em>r = 6yd</em>.

Substitute:

$A=\pi(6^2)=36\pi\ yd^2$

$C=2\pi(6)=12\pi\ yd$

If you want round the answers, then use <em>π ≈ 3.14</em>

$A\approx(36)(3.14)=113.04\ yd^2$

$C\approx(12)(3.14)=37.68\ yd$

3 0

3 years ago

What are the factors of 2x^2 + 5x -12?

Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step 1 :

Equation at step 1 :

(2x2 + 5x) - 12

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2+5x-12

The first term is, 2x2 its coefficient is 2 .

The middle term is, +5x its coefficient is 5 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2

-4 + 6 = 2

-3 + 8 = 5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8

2x2 - 3x + 8x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (2x-3)

Add up the last 2 terms, pulling out common factors :

4 • (2x-3)

Step-5 : Add up the four terms of step 4 :

(x+4) • (2x-3)

Which is the desired factorization

3 0

3 years ago