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2 years ago

Which number completes the table for y=x^2? -9 9 6 -6

Mathematics

2 answers:

mylen [45]2 years ago

8 0

Answer:

Step-by-step explanation:

Plug-in -3 into y=x^2 to get 9.

OverLord2011 [107]2 years ago

3 0

9. Plug in the -3 to the x so you can solve the exponent.

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A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

2 years ago

Use the Midpoint Rule and the given data to estimate the value of the integral I. (Give the answer to two decimal places.)

svlad2 [7]

Answer:

a) integral = 24.72

b) |Error| ≤ 0.4267

Step-by-step explanation:

The integral:

$\int_{0}^{3.2} f(x) dx$

can be approximated with the midpoint rule, as follows:

6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72

(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)

b)The error bound for the midpoint rule with <em>n</em> points is:

|Error| ≤ K*(b - a)^3/(24*n^2)

where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|

Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:

|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267

5 0

2 years ago

a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.

ziro4ka [17]

Answer:

Mean = $\sum x P(x) = 36.86$

Standard deviation = $\sum x^2P(X)=1360.9$

Step-by-step explanation:

x P(x) $x \times P(x)$ $x^2 \times P(x)$

33 0.02 0.66 21.78

34 0.06 2.04 69.36

35 0.1 3.5 122.5

36 0.2 7.2 259.2

37 0.24 8.88 328.56

38 0.26 9.88 375.44

39 0.1 3.9 152.1

40 0.02 0.8 32

1 36.86 1360.9

We are supposed to find mean and standard deviation

Mean = $\sum x P(x) = 36.86$

Standard deviation = $\sum x^2P(X)=1360.9$

7 0

2 years ago

A set of cards is numbered 1-12 if I were to pick a random card what is the probability I pick 1,3 or 11

omeli [17]

Answer:

0.25, or 25%

Step-by-step explanation:

3/12

7 0

2 years ago

a guy wire is attached to a tree 3.5ft above the ground to stabilize it. if the guy wire forms an angle with the tree of 50°, wh

balandron [24]

The plane figure formed by the ground, the guy wire, and the tree is a right triangle with the hypotenuse equal to length of the guy wire. The angle given is an angle adjacent to 3.5 ft. Therefore, the most suitable trigonometric function for this is,
cos (50°) = adjacent / hypotenuse
cos 50° = 3.5 ft / hypotenuse
The value of the hypotenuse is 5.445 ft.
Hence, the length of the guy wire is approximately 5.445 ft.

4 0

2 years ago