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Darina [25.2K]

2 years ago

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Mathematics

1 answer:

kvasek [131]2 years ago

5 0

Answer: $4\sqrt{5}x^7$

Step-by-step explanation:

$\sqrt{80}x^7$

$=\sqrt{2^4\cdot \:5}x^7$

$=\sqrt{2^4}\sqrt{5}x^7$

$=4\sqrt{5}x^7$

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Elena L [17]

Answer:

use acacolator

Step-by-step explanation:

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7 0

3 years ago

Simplify square root of 2 over cube root of 2.

Fed [463]

Answer:

2 to the power of one sixth

Step-by-step explanation:

Assuming you don't already know this, any type of root can be expressed as an exponent. Generally speaking:

$\sqrt[n]{x} = {x}^{ \frac{1}{n} }$

So you can rewrite the given fraction as

$\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }$

and then reduce as you normally would. That is, if the bases of the numerator and denominator are the same, then you can subtract the denominator's exponent from the numerator's exponent like so:

$\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } } = {2}^{ \frac{1}{2} - \frac{1}{3} }$

Since

$\frac{1}{2} - \frac{1}{3} = \frac{3}{6} - \frac{2}{6} = \frac{1}{6}$

the answer is

${2}^{ \frac{1}{6} } \: or \: \sqrt[6]{2}$

3 0

3 years ago

Read 2 more answers

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Snezhnost [94]

Not exactly sure if I perfectly remember distributive property but you could right that like 18j + 24 + 15j

6 0

3 years ago

Let f(x)=x^3 and g(x)= √x, and h(x)=x/3. Find each of the following: f(g(h(6)))

rewona [7]

Answer:

go from inside out.

h(x)=x/3

$(\sqrt{2})^{3}$ => h(6) = 6/3 = 2

g(x) = $\sqrt{x}$

=> g(h(6)) = g(2) = $\sqrt{2}$

f(x) = $x^{3}$

=> f(g(h(6))) = f( $\sqrt{2}$ ) = $(\sqrt{2} )^{3}$

6 0

2 years ago

A 99% confidence interval for the sugar content (per 5 oz. serving) of a shipment of strawberries is 5.9 to 8.3 grams.

gavmur [86]

Answer:

Sample mean = 7.1

Margin of error = 0.465

Step-by-step explanation:

Formula for confidence interval is;

CI = x¯ ± zE

Where;

x¯ is sample mean

z is critical value at confidence level

E is margin of error.

z for 99% Cl is 2.58

We are told the CI is 5.9 to 8.3.

Thus;

5.9 = x¯ - 2.58E - - - - (1)

8.3 = x¯ + 2.58E - - - - (2)

Add both equations together to get;

14.2 = 2x¯

x¯ = 14.2/2

x¯ = 7.1

Put 7.1 for x¯ in eq 1 to get;

5.9 = 7.1 - 2.58E

7.1 - 5.9 = 2.58E

E = 1.2/2.58

E = 0.465

5 0

2 years ago