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3 years ago

What is the intersection of y=7 and y=1\2x+6

1 answer:

8 0

Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7

and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so

to find the intersection, yo just find when both sentances are correct so

y=7
subsitute that into y=1/2x+6

7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x

so the point (2,7) is the intersection

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Which of the following figures has a circumference that is closest to 121 inches?

Eduardwww [97]

Answer:

a circle with a diameter of 19.3 inches

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2 years ago

7. A letter from the word PERSONALITY and a card from a standard deck are chosen at random. How many outcomes are possible?

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Answer:

Step-by-step explanation:

There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.

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3 years ago

John, and bill shared $900 in the ratio 7:3 respectively. how much money did each person get?

S_A_V [24]

John get money $630 and bill get money $270.

Given that John and bill shared $900 in the ratio 7:3 respectively.

The ratio is defined as the comparison of two quantities of equal units, indicating the quantity of one quantity contained in the other quantity.

The total ratio is 7+3=10

For john:

John has money seven out of 10 for the $900, we get

J=900×(7/10)

J=90×7

J=630

For bill:

Bill is three out of ten for $900, we get

B=900×(3/10)

B=90×3

B=270

Hence, john get money $630 and bill get $270 when they both shared $900 in the ratio 7:3 respectively.

Learn more about ratio from here brainly.com/question/2914376

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2 years ago

An Air Conditioner uses 850 Watts of electricity and local emissions from electricity produce 1.37 pounds of CO2 per kWh. If you

Zina [86]

Answer: 6,987,000 pounds fo CO₂ per kWh.

Step-by-step explanation: Quilowatt-hour (kWh) is a unit of energy that measures the amount of energy expended in 1 hour.

The AC uses 850 Watts, which in kW is 850,000 kW

If you leave the AC on for 6 hours, it will consume

850,000(6) = 5,100,000 kWh

Eletricity produces 1.37 pounds of CO₂ per kWh, then in 5,100,000 kWh:

1.37 $\frac{pounds}{kWh}$ .(5,100,000kWh) = 6,987,000 pounds

If you open a window for 6 hours, you would keep 6,987,000 pounds of CO₂ for entering the atmosphere.

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3 years ago

If N is the population of the colony and t is the time in days, express N as a function of t. Consider Upper N 0 is the origina

lesya [120]

Answer:

(a) $N(t)=Noe^{kt}$

(b)5,832 Mosquitoes

Step-by-step explanation:

(a)Given an original amount $N_o$ at t=0. The population of the colony with a growth rate $k \neq 0$ , where k is a constant is given as:

$N(t)=Noe^{kt}$

(b)If $N_o=1000$ and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

$1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)$

Therefore, our model is:

$N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t$

In 3 days time

$N(3)=1000\cdot1.8^3=5832$

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

$N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days$

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0

3 years ago

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