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3 years ago

9

Aidan puts 2 turtles in each of 4 aquariums. what is the total number of turtles? show the multiplication problem on a number li

ne.

1 answer:

serious [3.7K]3 years ago

5 0

Answer: 8 turtles

Step-by-step explanation:

2*4=8

on a number line draw it like this ig

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Write the equation of the circle below to complete the square. Also determine the area of the circle.

diamong [38]

Answer: $(x-7)^2+(y+2)^2=11^2$ ; $A=121\pi$

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

$(x-a)^2+(y-b)^2=r^2$

Begin by grouping the 'x' terms and 'y' terms:

$(x^2-14x)+(y^2+4y-68)=0$

Complete the square for the second polynomial:

$(\frac{b}{2} )^2=(\frac{4}{2} )^2=4$

$(x^2-14x)+(y^2+4y+4-4-68)=0$

$(x^2-14x)+(y^2+4y+4)-4-68=0$

$(x^2-14x)+(y^2+4y+4)-72=0$

$(x^2-14x)+(y+2)^2-72=0$

Do the exact same process with the other polynomial:

$(x^2-14x-72)+(y+2)^2=0$

Complete the square:

$(\frac{14}{2} )^2=49$

$(x^2-14x+49-49-72)+(y+2)^2=0$

$(x^2-14x+49)-49-72+(y+2)^2=0$

$(x^2-14x+49)-121+(y+2)^2=0$

$(x-7)^2-121+(y+2)^2=0$

Bring the 121 to the other side to get:

$(x-7)^2+(y+2)^2=121$

$(x-7)^2+(y+2)^2=11^2$

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

$A=\pi r^2=121\pi$

8 0

2 years ago

Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma

olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is 0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is 0.919 (91.9%)

6 0

3 years ago

Stodoła składa się z 1259 cegieł. Druga stodoła ma o 347 cegieł mniej. Trzecia ma o 567 cegieł więcej od pierwszej stodoły a czw

mel-nik [20]

Answer:

Second barn: 912 bricks

Third barn: 1826 bricks

Fourth barn: 1402 bricks

Step-by-step explanation:

(English question: The barn consists of 1259 bricks. The second barn has 347 bricks less. The third has 567 bricks more than the first barn and the fourth barn has 490 bricks more than the second barn. How many bricks consists of the second, third and fourth barn.)

If the second barn has 347 bricks less than the first barn, so the second barn has:

1259 - 347 = 912 bricks

The third barn has 567 bricks more than the first barn, so the third barn has:

1259 + 567 = 1826 bricks

The fourth barn has 490 bricks more than the second barn, so the fourth barn has:

912 + 490 = 1402 bricks

8 0

3 years ago

Which of this fraction are greater then1/2 but less then 3/4 .7/8 .2/5 .1/3 .5/8 .3/6

avanturin [10]

Answer: 7/8

Step-by-step explanation:

think of each faction as a pie or pizza.

each one will have the number of slices as the bottom number of the fraction.

now shade in the top numbers and see if it more than your 1/2

you will see 7/8 is the answer since it will be one piece left from being complete or "gone"

hope this helped angel!!

4 0

3 years ago

inessss [21]

D is the answer. Hope this helps!

7 0

3 years ago