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olasank [31]
2 years ago
14

The sum of 8 times a number 4 and 5 equals .

Mathematics
1 answer:
Tema [17]2 years ago
5 0

Answer:

37

Step-by-step explanation:

This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:

"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.

That is "8 times a number 4"  <em>and</em>  "5"

Therefore, we need to add 2 groups:

(8*4) + (5)

Now, we simply use PEMDAS (or GEMDAS) to solve the expression:

(8*4) + (5)

= (32) + (5)

= 32 + 5

= <u>37</u>

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Seventy thousand in standard form
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Answer: 70,000

Step-by-step explanation:

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2 years ago
Read 2 more answers
17 points if you know. Help please
vovangra [49]

Answer:

Step-by-step explanation:

Angles 153 and QRP are straight angles, and thus Angle QRP is

180 - 153, or 27 degrees.

The interior angles of the triangle must sum up to 180 degrees:

27 + (3y + 5) + (2y - 7) = 180.

combining like terms, we get:

5y - 25 = 180, or 5y = 155, or y = 31

Then Angle Q is 3(31) + 5, or 93

Angle P is 2(31) - 7, or 55, and

Angle QRP is 27 degrees (found earlier).

6 0
2 years ago
Picture Added Triangles <br> AA <br> SSS<br> SAS<br> Not Similar
rewona [7]

Answer:

Not Similer

Step-by-step explanation:

we can use the process of elimination, first AA isn't it because the corresponding angles arn't equal, next SSS itsn't it because we don't know the side lengths, and lastly SAS isn't it because we still don't know the side lengths.

5 0
3 years ago
Derivatives of inverse trigonometric functions please explain answers
Jobisdone [24]

I'll explain how to do the first one:-

y = cos-1(x2)

This can be described as ' a function of a function'   x^2 is a function of x and cos-1(x^2) is a function of x^2.

We need to  apply the chain rule.

Personally I find this  easier to understand if i let u = x^2, so

If y = f(u) and u is a function of x then

dy/dx = dy/ du * du/dx

Here u = x^2  and y = cos-1(u)

du/dx = 2x

so dy/dx = d(cos-1(x^2) dx = dy/du * du/dx


= -1 / √(1 - u^2) * 2x

= -2x / √(1 - u^2)    

= -2x / √(1 - (x^2)^2)

= -2x / √(1 - x^4)

I hope this helps. but if not. you might like to employ the formulae in the question - The square boxes contain the 'u' s in my answer. These formulae are equivalent to my explanation.

6 0
2 years ago
Show that xcosec^2x = cotx - d/dx xcotx
Mama L [17]

The given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.

In the question, we are asked to show that x.cosec²x = cot x - d/dx x.cot x.

To prove, we go by the right-hand side of the equation:

cot x - d/dx x.cot x.

We solve the differential d/dx using the product rule, according to which, d/dx uv = u. d/dx(v) + v. d/dx(u), where u and v are functions of x.

cot x - {x. d/dx(cot x) + cot x. d/dx(x)}

= cot x - {x. (-cosec²x) + cot x} {Since, d/dx(cot x) = -cosec²x, and d/dx(x) = 1}

= cot x + x. cosec²x - cot x

= x. cosec²x

= The left-hand side of the equation.

Thus, the given equation, x.cosec²x = cot x - d/dx x.cot x, is proved using the product rule of differentials.

Learn more about differentials at

brainly.com/question/14830750

#SPJ1

4 0
2 years ago
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