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kirza4 [7]
3 years ago
5

Can someone help me with this problem

Mathematics
1 answer:
Anon25 [30]3 years ago
4 0
Step 1: learn to draw a free-body diagram.  Read your school notes or look up a web site on the subject.
Step 2: Denote the angle of the ramp with the horizontal as theta=tan^(-1)(20/30)=33.69 degrees (approx.)
Step 3: denote the mass of the object as m=100 lb-mass.
Step 4: find force due to mass and gravity = -100g = -100 lb-force. (downwards), denoted by the vector F=(0,-100) lb-force.
Step 5: resolve force along incline:
Force parallel to incline = F1 = -100(cos(theta))
=-83.21 lb-force (negative => down the incline)
Step 6: resolve force perpendicular to incline
= F2 = -100(sin(theta)
=-55.47 lb-f  (-ve =>into the incline)

By the way, this question is not calculus 3, but more mechanics, or physics.  You have a better chance of getting answers if posted under "physics".
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Four students are trying to determine what number must replace the question (x^2)^7=x^4*x^8 in order to make it true
tiny-mole [99]

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

(x^2)^?=x^4 \cdot x^8

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

\implies (x^2)^y=x^4 \cdot x^8

First, simplify the equation by applying exponent rules to either side of the equation:

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:

\implies (x^2)^y=x^4 \cdot x^8

\implies x^{2y}=x^4 \cdot x^8

\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:

\implies x^{2y}=x^4 \cdot x^8

\implies x^{2y}=x^{4+8}

\implies x^{2y}=x^{12}

Now, apply the exponent rule:

x^{f(x)}=x^{g(x)} \implies f(x)=g(x)

Therefore,

x^{2y}=x^{12}\implies 2y=12

Finally, solve for y:

\implies 2y=12

\implies 2y \div 2 = 12 \div 2

\implies y=6

Therefore, <u>Joe is correct</u> as the unknown number is 6.

6 0
2 years ago
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Given the set B​ = {x​ | x​ = 2y + 3, where y​ ∈ I and 0​ &lt; y​ &lt; 5}, write the elements of the set using the roster method
Strike441 [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
3.
PilotLPTM [1.2K]

Answer:

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3 0
3 years ago
The area of a square postcard is 25 square inches. How long is each side postcard?​
ivolga24 [154]

Answer:

5 inches

Step-by-step explanation:

To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).

7 0
3 years ago
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Help me on this please!
PilotLPTM [1.2K]
(6 × 10⁷)/(5 × 10⁴)

We could simplify the exponential number of 10 by substracting the exponent number, it could be written as
= 6/5 × 10⁷⁻⁴
= 6/5 × 10³
= 1.2 × 10³
(This is the final answer)
5 0
3 years ago
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