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3 years ago

What is the square root of 100 Ten points

Mathematics

2 answers:

madam [21]3 years ago

7 0

The answer is 10 because if you multiply 10 by 10 it equals 100

elena55 [62]3 years ago

6 0

So, the definition of a square root is "what number can be multiplied by itself in order to yield the given number". So, if we apply this theory, what number can be multiplied by itself so that it gives an answer of 100.

So, the factors of 100 are

1 * 100

2 * 50

4 * 25

5 * 20

10 * 10 -> See, this one, 10 is being multiplied by 10. So, that is the square root of 100.

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Find the value of y so that line is passing through two points

Alenkinab [10]

Slope of a line passing through two given points
= (y2-y1)/(x2-x1)

For m=3, and substituting coordinates,
3=(1-y)/(4-1)
solve for y
1-y=3*3=9
y=1-9=-8

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3 years ago

Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

8 0

3 years ago

Read 2 more answers

The circumference of a circle is 47.1 feet. What is the diameter of the circle? 7.5 ft 15 ft 147.9 ft 30 ft

MAVERICK [17]

Hi Zack! Thanks for asking a question here on Brainly.

█ Explanation █

✦ We are looking to find the diameter of the circle.
✦ Do the following formula to find the diameter.
✦ $47,1/ \pi =47.1/3.14$
✦ = 15 ft

Answer: 15 ft

Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia

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3 years ago

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Sauron [17]

Answer:

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Step-by-step explanation:

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spin [16.1K]

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