All categories

3 years ago

PLEASE HELP ME ITS URGENT

Mathematics

2 answers:

uranmaximum [27]3 years ago

4 0

1. A = area of frame; s = length; w = width

2. A = 15^2 - (15 - 2(2))^2 = 225 - 121 = 104

3. A = 18^2 - (18-2(3))^2 = 324 - 144 = 180 --> 180 square inches *20 cents = 3600 cents = $36

Arte-miy333 [17]3 years ago

3 0

Answer:

1) A is area of frame, s is the length of the frame, and w is the width of the frame

2) just plug in the numbers. 15 for s and 2 for w. you get 104

3) the area would be 180 so she would charge $36

Step-by-step explanation:

You might be interested in

A person is chosen at random from a room that contains 24 men and 26 women. What is the probability that a woman is chosen?

Shkiper50 [21]

Answer:

C.13/25

Step-by-step explanation:

There are 50 people in total and 26 out of them are women

if a person chosen randomly from the room the probability of it being a woman is 26/50 whıich we can simplify to 13/25

3 0

3 years ago

Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

Korvikt [17]

Answer:

A. 10/3

Step-by-step explanation

improper fraction examples;

$\frac{12}{3}$ $\frac{10}{9}$ $\frac{11}{10}$

An improper fraction is a fraction that has a numerator bigger than the denominator, ( $\frac{N}{D}$ ), therefore the answer would be A.

Hope this helps

7 0

3 years ago

Read 2 more answers

A hot metal bar is submerged in a large reservoir of water whose temperature is 60°F. The temperature of the bar 20 s after subm

True [87]

Answer:

A) cooling constant = 0.0101365

B) $\frac{df}{dt} = k ( 60 - F )$

c) F(t) = 60 + 77.46 $e^{0.0101365t}$

D)137.46 ⁰

Step-by-step explanation:

water temperature = 60⁰F

temperature of Bar after 20 seconds = 120⁰F

temperature of Bar after 60 seconds = 100⁰F

A) Determine the cooling constant K

The newton's law of cooling is given as

= $\frac{df}{dt} = k(60 - F)$

= ∫ $\frac{df}{dt}$ = ∫ k(60 - F)

= ∫ $\frac{df}{60 - F}$ = ∫ kdt

= In (60 -F) = -kt - c

60 - F = $e^{-kt-c}$

60 - F = $C_{1} e^{-kt}$ ( note : $e^{-c}$ is a constant )

after 20 seconds

$C_{1}e^{-k(20)}$ = 60 - 120 = -60

therefore $C_{1} = \frac{-60}{e^{-20k} }$ ------- equation 1

after 60 seconds

$C_{1} e^{-k(60)}$ = 60 - 100 = - 40

therefore $C_{1} = \frac{-40}{e^{-60k} }$ -------- equation 2

solve equation 1 and equation 2 simultaneously

= $\frac{-60}{e^{-20k} }$ = $\frac{-40}{e^{-60k} }$

= 6 $e^{20k}$ = 4 $e^{60k}$

= $\frac{6}{4} e^{40k}$ = In(6/4) = 40k

cooling constant (k) = In(6/4) / 40 = 0.40546 / 40 = 0.0101365

B) what is the differential equation satisfied

substituting the value of k into the newtons law of cooling)

60 - F = $C_{1} e^{0.0101365(t)}$

F(t) = 60 - $C_{1} e^{0.0101365(t)}$

The differential equation that the temperature F(t) of the bar

$\frac{df}{dt} = k ( 60 - F )$

C) The formula for F(t)

t = 20 , F = 120

F(t ) = 60 - $C_{1} e^{0.0101365(t)}$

120 = 60 - $C_{1} e^{0.0101365(t)}$

$C_{1} e^{0.0101365(20)}$ = 60

$C_{1} = 60 * 1.291$ = 77.46

C1 = - 77.46⁰ as the temperature is decreasing

The formula for f(t)

= F(t) = 60 + 77.46 $e^{0.0101365t}$

D) Temperature of the bar at the moment it is submerged

F(0) = 60 + 77.46 $e^{0.01013659(0)}$

F(0) = 60 + 77.46(1)

= 137.46⁰

5 0

4 years ago

Use the table and the graph to answer the questions.

NeX [460]

A) Function A (table): rate of change = 2.5/1 = 2.5

Function B (graph): rate of change= -4/1 = -4

You should use change in y over change in x for the table

For the graph: move 4 down to get to the center (0,0) =-4 and then the same for -1 to 0

b) Function A should have a greater rate of change

**I hope this is right!

4 0

3 years ago

What is the distance between the points (2,-3) and (-6,4) on the coordinate plane

fomenos

Cmon man this is easy‍♂️

6 0

4 years ago

Read 2 more answers