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3 years ago

8

What ratio in lengths describe a fourth?

1 answer:

ladessa [460]3 years ago

6 0

It’s E because that’s basically 1/4

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Four balls of wool will make 8 knitted hats. How many balls of wool will Janet need to make 6 hats?

elena55 [62]

3 balls of wool would make 6 hats.

8 0

3 years ago

If p(x) is polynomial of degree 1 and c is any real number constant, why does the quotient p(x)-p(c)/x-c result in a polynomial?

Tema [17]

Your.....g.....a....y....as.....f

7 0

3 years ago

Jason has 3 1/2 candy bars. He wants to share the candy bars with his friends. He gives as many of his friends as possible 3/4 o

denis-greek [22]

Answer:

He can give 4 friends pieces of a candy bar.

Step-by-step explanation:

Each person has to have exactly 3/4 a candy bar.

If you divide all 3 1/2 candy bars into fourths, you will have 14 pieces.

So then, take out portions of 3 at a time, so take out 3 of these pieces, you have one friend. Take out another 3 pieces you now took 6 out and gave to 2 friends. Take another three and you've taken out 9 pieces for 3 friends. Take one more set of 3 pieces you now have taken out 12 pieces for 4 friends. There are only 2 more pieces left which is not enough for another friend so you have 4 friends that got some chocolate.

Hope this helps!! :)

5 0

3 years ago

Help me on this please

dusya [7]

Answer:

1. $2 / 5$ - Fractional form, $0.4$ - Decimal Form

2. $5 / 8$ - Fractional form, $0.625$ - Decimal Form

3. $6 / 7$ - Fractional form, $0.8571$ - Decimal Form

4. $\sqrt{a / b}$

5. $\sqrt{a * b}$

Step-by-step explanation:

1. $\sqrt{4 / 25}$

Steps:

1. Divide - $4 / 25$

2. Then take the square root of what you got - $\sqrt{0.16}$ = $0.4$

2. $\sqrt{25 / 64}$

Steps:

1. Divide - $25 / 64$

2. Then take the square root of what you got - $5 / 8$

3. $\sqrt{36 / 49}$

Steps:

1. Take the square root of the top number - 6

2. Tage the square root of the bottom number - 7

3. Answer is 6/7.

4. $\sqrt{a} / \sqrt{b}$ = $\sqrt{a / b}$

5. $\sqrt{a} * \sqrt{b}$ = $\sqrt{a * b}$

<em><u>Formula:</u></em>

$\sqrt{a} / \sqrt{b}$ = $\sqrt{a / b}$

$\sqrt{a} * \sqrt{b}$ = $\sqrt{a * b}$

5 0

3 years ago

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

3 years ago