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3 years ago

12

Professor Shepherd weighed two pieces of metal for an experiment. The piece of iron weighed 7/12 of a pound and the piece of alu

minum weighed 1/2 of a pound. How much more did the piece of iron weigh than the piece of aluminum?

1 answer:

deff fn [24]3 years ago

4 0

Answer:it weighed 1/12 more

Step-by-step explanation:

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Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).

kumpel [21]

<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

$(x-h)^2+(y-k)^2=r^2$

$(h,k)$ is the center
$r$ is the radius

To determine the equation given the center and the radius:

Plug both pieces of information into the general equation
Simplify

<h2>Solving the Question</h2>

We're given:

Radius: 99
Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

$(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801$

<h2>Answer</h2>

$(x+1)^2+(y+8)^2=9801$

7 0

3 years ago

Through: (2,2), parallel to y=x+42)

shtirl [24]

Answer:

y=x

Step-by-step explanation:

We want a line parallel to y =x+42

The slope of y =x+42 is 1

Parallel lines have the same slope

We have the slope m=1 and a point (2,2)

We can use point slope form to write a line

y-y1 = m(x-x1)

y-2 = 1(x-2) point slope form

Changing to slope intercept form

y-2 = x-2

Add 2 to each side

y-2+2 = x-2+2

y=x

3 0

4 years ago

Enzo is studying the black bear population at a large national park.

Naddik [55]

Answer:

2,973

Step-by-step explanation:

The black bear population B(t), in the park is modeled by the following function:

$B(t) = 2500 \cdot 2^{0.01t}$

Where t is the time(in years) elapsed since the beginning of the study.

We want to determine the black bear population in 25 years time, t=25.

$B(25) = 2500 \cdot 2^{0.01*25}\\=2973.02\\\approx 2973$

There will be 2,973 black bears in 25 years time.

4 0

3 years ago

A parallelogram is a _____. (Choose all that apply)

Mama L [17]

Answer:

Quadrilateral

Step-by-step explanation:

The definition of a parallelogram is a quadrilateral that has two sets of parallel sides.

3 0

3 years ago

Read 2 more answers

A house that you are interested in has the following facts listed online: Price = $214,000 APR = 1.15% Down Payment must be 9.5%

gizmo_the_mogwai [7]

9514 1404 393

Answer:

$20,330 down
$193,670 loan
$560.35 monthly
$255,677 total price

Step-by-step explanation:

a) The down payment is 9.5% of the price, so is ...

down = 0.095×$214,000 = $20,330

__

b) The amount of the loan is the remaining value after the down payment is made:

$214,000 -20,330 = $193,670

__

c) The monthly payment is given by the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

payment on Principal P at interest rate r for t years

A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35

__

d) The total cost of the house is ...

down + (monthly payment)×(number of months)

= $20,330 + $560.35×420

= $255,677

6 0

3 years ago