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3 years ago

Can someone please help answer this problem ASAP!!!:)

Mathematics

2 answers:

emmainna [20.7K]3 years ago

8 0

Answer:

Step-by-step explanation:

i am a really good guesser and i think it is c

aivan3 [116]3 years ago

4 0

I think it’s C I don’t have proof but I think it’s C sry.

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Naomi is 2/3 as tall as her father. If Naomi is 54 inches tall, how tall is her father.

AlekseyPX

Answer:

Her father is 81 inches tall.

Step-by-step explanation:

She is 2/3 as tall as her father so we divide her height by 2. 54/2=27 and then we multiply 27 by three to get 81 inches.

4 0

3 years ago

Read 2 more answers

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.

3 0

3 years ago

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

Margarita [4]

1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.

2) The total food bill is represented by the equation x=60.

Both of these responses are correct.

Step-by-step instructions:

Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).

Our equation can be as follows if x is the food bill:

76/8 = (x+16)/8

Solving the Problem

9.5 = (x+16)/8

9.5*8 Equals x+16

x=76 -16 x=76 -16 x=76 -16 x=

60 = x

The cost of food is x=60.

6 0

2 years ago

A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does he need to run to finish the race? Show your rea

lesantik [10]

Answer: 8.808 kilometers

Step-by-step explanation: have a good night :)

7 0

3 years ago

Solve for x given that CE=36. Show your work.

inna [77]

Answer:

The answer for this equation is x = 7

Step-by-step explanation:

1. Solve for x given that CE=36

9 + 3x + 6 = 36

3x + 15 = 36

3x = 36 - 15 (Putting x on the left side and all the numeric values on the right)

3x = 21

x = 7 (Dividing by 3 at both sides)

2. Proof of replacing x by 7

9 + 3 (7) + 6 = 36

9 + 21 + 6 = 36

36 = 36

It proves that x = 7 is correct

8 0

3 years ago