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3 years ago

I need help on all this

Mathematics

1 answer:

Snezhnost [94]3 years ago

6 0

#2:

Find the total surface area of the capped cylinder.

2 times the area of the base would be 2[pi*(3 cm)^2, or 18pi.

The circumference of the base is C = 2pi*r, which here is 6pi.
The area of the sides is C times height, or 6pi*(11 cm) = 66pi cm^2

Add this to the 18pi cm^2 previously found.

Total area of cylinder, including top and bottom, is 84 cm^2.

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Write an expression to represent: The sum of ten and the quotient of a number x and 6.

Minchanka [31]

Let us break it down. A sum of ten. That is just

+10

Then, we will add that to the quotient (which is the number after dividing) of a number x and 6. We can write that as

+ x/6

The slash means division here. Thus your final answer is

10 + x/6

8 0

2 years ago

If u-ai + bj and v-ci + dj are vectors, then which of the following statements is not true?

alukav5142 [94]

Answer:

Option C

Step-by-step explanation:

Given that u-ai + bj and v-ci + dj are vectors

We have dot product

$u.v = (ai+bj).(ci+dj)$ hence inner product of u and v. So option a is true

The dot product of u and v is a scalar is true because dot product is always a scalar

The dot product of u and v is a vector. is false because dot product is only a scalar and has no direction and hence cannot be a vector

The dot product of u and v is given by the expression ac+bd

True because we multiply corresponding i components and j components and add.

So only C is not true.

7 0

2 years ago

How do you convert 4.5 hours to minutes ?

marta [7]

Multiply the number of minutes in an hour(60) by 4.5

7 0

2 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

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2 years ago

Explain what are all of the properties of real numbers and use an example for each.

Arada [10]

Answer:

mark me as a brainlist answer

Step-by-step explanation:

Give examples to explain the properties of real numbers

Property (a, b and c are real numbers, variables or algebraic expressions)Examples8.Additive Inverse Property a + (-a) = 04 + (-4) = 09.Multiplicative Inverse Property10.Zero Property of Multiplication a • 0 = 04 • 0 = 011.Closure Property of Addition a + b is a real number10 + 5 = 15 (a real number)

6 0

3 years ago