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3 years ago

HELP ME PLZZ, ASAP!!

Mathematics

1 answer:

enyata [817]3 years ago

3 0

I’d say first, second and last I’m not sure tho, so don’t take my word for it

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A block of glass has a mass of 22.5g and a volume of 9cm cubed.

melisa1 [442]

Answer:

density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centimetre.

Step-by-step explanation:

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2 years ago

A) How many cups of energy drink does Jerome need to make?

Margaret [11]

Answer: You should take the 22÷8 and take 22÷3 and see what you get if that doesn’t help create a table chart or graph

Step-by-step explanation: I said divide 22 by 8 and 22 divide by 3 because that should give you the number that you need for each one

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3 years ago

what is the average of 55 75 20 46 60

tatyana61 [14]

Answer:

51.2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Can someone please help me with this question

Cerrena [4.2K]

Answer:

5x+3>23

Step-by-step explanation:

x $\geq$ 4

8 0

3 years ago

A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.

irakobra [83]

Answer:

The integral is equal to $5\sec^2(2x)+C$ for an arbitrary constant C.

Step-by-step explanation:

a) If $u=\tan(2x)$ then $du=2\sec^2(2x)dx$ so the integral becomes $\int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C$ . (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)

b) In this case $u=\sec(2x)$ hence $du=2\tan(2x)\sec(2x)dx$ . We rewrite the integral as $\int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C$ .

c) We use the trigonometric identity $\tan(2x)^2+1=\sec(2x)^2$ is part b). The value of the integral is $5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C$ . which coincides with part a)

Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.

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3 years ago