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Annette [7]
2 years ago
5

PLEASEEEEEEEE HELP ME I NEED TO TURN THIS IN

Mathematics
1 answer:
Aloiza [94]2 years ago
4 0

Answer:

102 degrees

Step-by-step explanation:

Since the two angles are same side interior that would mean they sum up to 180 degrees.

180-78=102 degrees

hoped this helped :)

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The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will
lakkis [162]

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

V(t) = 14651(0.81)^{t}

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

V(t) = 14651(0.81)^{t}

(0.81)^t = \frac{V(t)}{14651}

\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}

t\log{(0.81)} = \log{(\frac{V(t)}{14651})}

t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}

(a) $8000

V(t) = 8000

t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7

The car will be worth $1000 after 12.7 years.

5 0
2 years ago
(03.01)
Troyanec [42]
Number 1s answer would be 2. and number 2s answer would be 2
3 0
3 years ago
Read 2 more answers
I have to get this so I pass help plz
pshichka [43]

Answer:

\boxed{\sf x=-2}

\boxed{\sf y=-4}

Step-by-step explanation:

<u>First, Let's  solve for x in -2x+2y=-4:</u>

\sf -2x+2y=-4

<u>Subtract 2y from both sides:</u>

\sf -2x+2y-2y=-4-2y

\sf -2x=-4-2y

<u>Divide both sides by -2:</u>

\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}

\bold{ x=y+2}

<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

\sf 3x+3y=-18

→ let x=2+y

\sf 3\bold{(2+y)}+3y=-18

<u>Simplify:</u>

\sf 6+6y=-18

<u>Now, let's solve for y in 6+6y=-18</u>

\sf 6+6y=-18

<u>Subtract 6 from both sides:</u>

\sf 6+6y-6=-18-6

\sf 6y=-24

<u>Divide both sides by 6:</u>

\sf \cfrac{6y}{6}=\cfrac{-24}{6}

\bold{ y=-4}

<u>Now, substitute y=-4 into x=2+y:</u>

\sf x=2+y

→ let y = -4

\sf x=2+\bold{-4}

\bold{x=-2}

Therefore, x=-2 and y=-4.

<u>_____________________________________</u>

5 0
2 years ago
an air conditioning system can circulate 360, cubic feet of air per minute. how many cubic yards of air can it circulate per min
ahrayia [7]

Alright, lets get started.

3 feet = 1 yard

If we cube both sides of the equation, we will get the conversion into cubic yards

So,

3*3*3 cubic feet = 1 * 1*1 cubic yards

27 cubic feet = 1 cubic yards

So, 1 cubic feet = \frac{1}{27} cubic yards

So, 360 cubic feet = 360 *\frac{1}{27} cubic yards

So, 360 cubic feet = 13.33 cubic yards

13.33 cubic yards of air can it circulate per minute. : Answer

Hope it will help :)



3 0
3 years ago
Read 2 more answers
Alex and Charlene are playing a card game, where each card has a value, he has a total of -16.5 points . What was his cards valu
borishaifa [10]
-8.25 i know this because i divided it by two
8 0
3 years ago
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