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3 years ago

Solve y = x2 +11 for x.

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

Answer:

x = ±sqrt(y-11)

Step-by-step explanation:

y = x^2 +11

Subtract 11 from each side

y -11 = x^2 +11-11

y-11 = x^2

Take the square root of each side

±sqrt(y-11) = sqrt(x^2)

±sqrt(y-11) = x

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Please help 20 points!!!!!

skad [1K]

Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,

(a) The sample means of the backpacks are: 6.375,6.375,6.625

(b) Range of sample means: 0.25

(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.

For the first sample, mean= 6.375

For the second sample, mean= 6.375

For the third sample, mean= 6.625

Range of sample means=Maximum Mean- Minimum Mean

= 6.625 - 6.375

= 0.25

The students will estimate the average backpack weight of their classmates using sample means, the true statement is:

The closer the range of the sample means is to 0, the more confident they can be in their estimate.

Learn more about range here:

brainly.com/question/24326172

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1 year ago

Suppose h(t)=-0.2t squared +2t models the height in feet of ball that is kicked into the air where t is given as time in seconds

xz_007 [3.2K]

To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.

Answers: maximum height = 5 ft
time it will reach the ground = 10 s

4 0

3 years ago

Read 2 more answers

Tomas has a garden with a length of 2.45 meters and a width of 5/8 meters.Use benchmarks to estimate the area and perimeter of t

vovikov84 [41]

The dimensions of the rectangle is 2.45 m by 5/8 m
thus the area will be:
A=length*width
A=2.45×5/8
A=1.53125 m²
Perimeter will be:
P=2(L+W)
P=2(2.45+5/8)
P=2(3.075)
P=6.15 m

3 0

2 years ago

A circle is centered at the point (5,-4) & passes through the point (-3,2).

maxonik [38]

Equation of the circle:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

The equation of a circle is given by

$(x-x_0)^2+(y-y_0)^2=r^2$

where

$(x_0,y_0)$ are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

$r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10$