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Mamont248 [21]
3 years ago
7

A line that crosses parallel lines to create pairs of congruent and supplementary angles

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0

Answer:

A traversal

Step-by-step explanation:

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Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3.50 per pound and she has a coupon for $2.5
oksian1 [2.3K]

Answer:

$8 for 3 pounds

cost for p pounds: 3.50p - 2.50

Step-by-step explanation:

Cost of 3 pounds:

Original cost = Cost per pound x 3

= 3.50 x 3

= 10.50

Coupon = 2.50

Final cost = Original cost - Coupon

= 10.50 - 2.50

= $8

Cost of p pounds:

Original cost = Cost per pound x p

= 3.50 x p

= 3.50p

Coupon = 2.50

Final Cost = Original Cost - Coupon

= 3.50p - 2.50

3 0
3 years ago
2p=kx-t how do you solve for x
sergiy2304 [10]
Isolate x on one side of the equation. divide by k.
2p over k =x-t
add t
(2p/k)+t = x.
hope this helps and have a wonderful day!
8 0
3 years ago
Given f(x)= square root x and g(x) = lxl, which is the graph of (fog)(x)
marin [14]

Answer:

drawing the graph of f(g(x))=\sqrt{|x|}

The graph is attached in the images below.

Option A is correct option.

Step-by-step explanation:

We are given:

f(x)=\sqrt{x} and g(x)=|x|

We need to find graph of  (fog)(x)

We know that (fog)(x)= f(g(x))

Placing x=g(x) i,e x=|x|

(fog)(x)= f(g(x))\\f(g(x))=\sqrt{|x|}

Now, drawing the graph of f(g(x))=\sqrt{|x|}

The graph is attached in the images below.

Option A is correct option.

8 0
3 years ago
Read 2 more answers
The sum of an a.p is 340. the first term is 7 and the common difference is 6. Cal the number of terms in the sequence.
damaskus [11]

Common difference: 6

First term: 7

Second term: 13

Third term: 19

Fourth term: 25

Fifth term: 31

I hope this is correct and helps!

6 0
2 years ago
Read 2 more answers
Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
1 year ago
Read 2 more answers
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