<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%7D%2098" id="TexFormula1" title="\sqrt{} 98" alt="\sqrt{} 98" align="absmiddle" cla

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Svetach [21]

4 years ago

ss="latex-formula">

Mathematics

2 answers:

sdas [7]4 years ago

4 0

Answer: $\sqrt[7]{2}$

Step-by-step explanation: In this problem, we are asked to simplify the square root of 98. First notice that 98 is not a perfect square. In other words, it's impossible to find a whole number that can be multiplied by itself which gives us 98.

However, it's important to understand that the square root of 98 can still be simplified.

Notice that 98 factors as 2 × 49 and 49 factors as 7 × 7. Notice that we have a pair of 7's in our factor tree.

This means that a 7 can come out of the radical. Notice that we have a 2 in our factor tree which doesn't pair up so it stays inside the radical.

Therefore, the square root of 98 simplified is $\sqrt[7]{2}$ .

Misha Larkins [42]4 years ago

4 0

Solution in picture.

Hence, the answer is 7√2

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Answer:

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Step-by-step explanation:

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3 years ago

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Using the given zero, find one other zero of f(x). Explain the process you used to find your solution. 1 - 2i is a zero of f(x)

Vika [28.1K]

SInce one of the zeros is 1 - 2i, another zero has to be 1 + 2i.
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In order to get -2i you had to be taking the sqrt (-4) which is + - 2i

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3 years ago

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the

trasher [3.6K]

Answer:

Mean=685

Variance=36.7

Step-by-step explanation:

The mean of uniform discrete distribution can be expressed as the average of the boundaries

mean=( b+a)/2

The variance of uniform discrete distribution can be expressed as the difference of the boundaries decreased by 1 and squared, decreased by 1 and divided by 12.

σ²=[(b-a+1)^2 - 1]/12

We were given the wavelength from from 675 to 695 nm which means

a= 675, b= 695

We can now calculate the mean by using the expresion below

mean=( b+a)/2

Mean=( 675 + 695)/2

=685

The variance can be calculated by using the expression below

σ²=[(b-a+1)^2 - 1]/12

σ²=[(695-675+1)^2 -1]/12

σ²=440/12

σ²=36.7

Therefore, the the mean and variance, of the wavelength distribution for this radiation are 685 and 36.7 respectively

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3 years ago

Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of rib

erastovalidia [21]

Answer: 306 inches or 25.5 feet or 8.5 yards.

Step-by-step explanation:

Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.

1 feet = 12 inches

length of ribbon Tino has = 12 x 7.5 = 90 inches

1 yard = 36 inches

length of ribbon Baxter has = 3.5 x 36 = 126 inches

Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)

= (90+90+126) inches

= 306 inches

In feet , Total ribbon = $\dfrac{306}{12}\text{ feet}$ $[\text{ 1 inch}=\dfrac{1}{12}\text{ feet}]$

$=\text{25.5 feet}$

In yards, Total ribbon = $\dfrac{25.5}{3}\text{ yards}$ $[\text{1 feet}=\dfrac{1}{3}\text{ yard}]$

$=\text{ 8.5 yards}$

Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.

4 0

3 years ago

Simplify (a+b) ²-2ab

Scrat [10]

Answer:

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Step-by-step explanation:

(a + b)² - 2ab ← expand parenthesis using FOIL

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6 0

3 years ago