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2 years ago

"If x = y, then x + 4 = y + 4" represents the ________ property of equality.

1 answer:

8 0

“If x = y, then x + 4 = y + 4” represents the additive property of equality. This means the same number is added on both sides of the equal sign.

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A farmer has 5 cartons of eggs for sale. Each carton contains 12 eggs.

MariettaO [177]

Answer:

10 eggs

Step-by-step explanation:

5 cartons multiplied by 12 eggs each equals 60 eggs in total.

Therefore 5/6 would be equal to 50/60 since we multiply the denominator and numerator by 10

As a result 10 of the eggs are not brown

4 0

2 years ago

Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:

Ilya [14]

Answer:

This $6(2)^{n-1}$ represent an exponential function, because his savings increase by a constant factor of 2.

Step-by-step explanation:

It is given that,

Luis has saved $6 and he doubles the amount each week.

So, the amount saved in the next week = 6×2 = 12

This gives the amount saved in the third week = 12×2 = 24

So, we get the sequence 6, 12, 24, 48,.....

It can be written as, 6×2⁰, 6×2¹, 6×2², 6×2³,.....

So, the sequence in the exponential form $6(2)^{n-1}$ , where 'n' is a natural number.

Also, 6, 12, 24, 48,.....

The numbers are increasing by the factor = $\frac{12}{6}=\frac{24}{12}=....=2$

Hence, we get,

This $6(2)^{n-1}$ represent an exponential function, because his savings increase by a constant factor of 2.

8 0

2 years ago

The map below shows the location of 3 houses where you had to do lawn work today. Your truck gets 8 miles per gallon of gasoline

ryzh [129]

Answer:

4.18 dollars to drive 20 miles

Step-by-step explanation:

7 0

2 years ago

Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value of the parameter. (if an answer does n

Reptile [31]

We are given the parametric equations:

x = 6 cos θ

y = 6 sin θ

We know that the derivative of cos a = - sin a and the derivative of sin a = cos a, therefore taking the 1st and 2nd derivates of x and y:

d x = 6 (-sin θ) = - 6 sin θ

d^2 x = -6 (cos θ) = - 6 cos θ

d y = 6 (cos θ) = 6 cos θ

d^2 y = 6 (-sin θ) = - 6 sin θ

Therefore the values we are asked to find are:

dy / dx = 6 cos θ / - 6 sin θ = - cos θ / sin θ = - cot θ

d^2 y / d^2 x = - 6 sin θ / - 6 cos θ = sin θ / tan θ = tan θ

We can find the value of the slope at θ = π/4 by using the dy/dx:

dy/dx = slope = - cot θ

dy/dx = - cot (π/4) = - 1 / tan (π/4)

dy/dx = -1 = slope

We can find the concavity at θ = π/4 by using the d^2 y/d^2 x:

d^2 y / d^2 x = tan θ

d^2 y / d^2 x = tan (π/4)

d^2 y / d^2 x = 1

Since the value of the 2nd derivative is positive, hence the concavity is going up or the function is concaved upward.

Summary of Answers:

dy/dx = - cot θ

d^2 y/d^2 x = tan θ

slope = -1

concaved upward

6 0

2 years ago

A company has developed a new computer microprocessor whose average lifetime is unknown. In order to estimate this average, 300

wlad13 [49]

Answer:

SAMPLE

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers