MATHEMATICS HIGH SCHOOL

The weight of a person on Venus is directly proportional to their weight on Earth. Aperson weighing 120 pounds on Earth weighs 106 pounds on Venus.
Approximately how much would a person weighing 180 pounds on Earth weigh on
Venus?

Answers

Answer 1
Answer:

Answer:

a person would weigh 158 pounds on venus

Step-by-step explanation:

weight of a person on venus is directly proportional to their weight on earth

i.e. weight on venus ∝ weight on earth

weight on venus = k * weight on earth

where k is the constant of proportionality

according to the question:

106 = k * 120

k = 106/120 = .88

thus,

person weighing 180 pounds on earth weighs on venus:

weight on venus = .88 * 180

  = 158 pounds

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In order to solve the equation −3x + 6 = 5, the first step is to (1 point)add 6 to both sides divide by 5 on both sides subtract 6 from both sides multiply by 5 on both sides
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Find the coordinates of the midpoint of the segment given the endpoints p( -3,-7) and q (3, -5)

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Answers

i think its B not sure tho sorry

Asking again for your help! I really don't understand!

Answers

Answer: y≤4x+3 and y≤-3x-5

Step-by-step explanation:

The slope of the first line is 4. The slope of (-1,-1) and (0,3) is 4. And the line passes through 3, so the y-intercept is 3.

The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5

How do you answer this?

Answers

(m^(-2))^5=m^(-2\cdot5)=m^(-10)

x^2+3x-10=\nx^2+5x-2x-10=\nx(x+5)-2(x+5)=\n(x-2)(x+5)
(m*-2)*5 simplifies to m*-10. 

This is because when you have a number with an exponent to an exponent, you multiply the exponents.

Which polynomial represents the area of the rectangle?a. 3x2+2x−5
b. 3x2−5
c. 3x2−2x−5
d. 3x2−8x−5

Answers

Answer:

Step-by-step explanation:

The correct option is C.

Step-by-step explanation:

The width of the rectangular pen is

The length of the rectangular pen is

The perimeter of a rectangle is

Therefore the correct option is C.

Final answer:

Without specific dimensions for the rectangle, it's impossible to definitively determine which polynomial represents its area. If we knew the length and width in terms of x, we could then form a polynomial by multiplying them.

Explanation:

This question is based on the concept of polynomials and their application in representing areas. From the provided question, we don't have specific dimensions of the rectangle, thus making it impossible to definitively determine which polynomial represents its area.

If the length and width of the rectangle were expressed in terms of x (e.g., 3x and x, or some other terms x and 2x-5), then we could put these expressions in the form of a polynomial by multiplying them together. For example, if we suppose our rectangle has sides of 3x and x, then the area would be represented by the polynomial 3x2, which equals to 3x*x.

However, without specific rectangular dimensions, we can't accurately choose between the provided options: 3x2+2x−5, 3x2−5, 3x2−2x−5, and 3x2−8x−5.

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You invest $2,000 in an account that is compounded annually at an interest rate of 5%. You never withdraw money from the account. Which equation below gives the amount of money you will have in the account after t years?A(t) = 2,000e5t
A(t) = 2,000e0.05t
A(t) = 2,000(1.5)t
A(t) = 2,000(1.05)t

Answers

The formula is: A ( t ) = I * ( 1 + r )^t. In this case: I = $2,000, r = 0.05 ( or%5) and t is the number of years. A ( t ) = 2,000 * ( 1 + 0.05 ) ^t ; A ( t ) = 2,000 * ( 1.05 )^t. For example: after 1 year: A ( 1 ) = 2,000 * ( 1.05 )^1 = $2,100 and after 2 years: A ( 2 ) = 2,000 * ( 1.05 )^2 = $2,205, and so on. Answer: D ) A ( t ) = 2,000 * ( 1.05 )^t

Answer: D: A(t)= 2,000 (1.05) ^t

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Answers

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

The object to hit the ground takes 3.675 seconds.

An initial velocity of 48.6 feet per second

When the object hits the ground, h=0:

h=−16t²+48.6t+37.5

0=−16t²+48.6t+37.5

We have to apply the quadratic formula:  

For: ax²+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Substituting with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

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