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hammer [34]
3 years ago
14

In his garden Tim plants the seed 3 1/4in below the ground. After one month the tomato plant has grown a total of 9 1/2 in. How

many inches is the plant above the ground?
The tomato plant is in above the ground.
(Type an integer, proper fraction, or mixed number)
Mathematics
1 answer:
andrezito [222]3 years ago
7 0

Answer:

6 1/4 inches

Step-by-step explanation:

Tim plants tomato seeds in the garden 3 1/4 inches i.e. 13/4 inches below the ground level.

After one month the tomato plant has grown a total of 9 1/2 inches i.e. 19/2 inches.

So, it first grew up to ground level then it grew above ground level.

Therefore, the height of the plant above the ground level will be

[(19/2)-(13/4)] =(38-13)/4 =25/4 inches i.e. 6 1/4 inches. (Answer)

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Which of the following equations is nonlinear?
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D)y=5x³ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌

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Expalin what the vertical line test is and it used ?
katovenus [111]

Answer:

You use the vertical line test to see if a function is relation is a function

Step-by-step explanation:

A function is a relation with only one output for every input. That means that if the x value and two y values, it is not a function.

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3 years ago
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Which of the following functions have a vertical asymptote for values of Ø such that cos Ø = 1?Select all that apply.
igomit [66]

Answer:

y=\cot \theta and y=\csc \theta

Step-by-step explanation:

Note that if \cos \theta=1, then \sin \theta=0.

Functions y=\cos \theta,\ \ y=\sin \theta do not have vertical asymptotes at all.

Vertical asymptotes have functions y=\tan \theta,\ \ y=\cot \theta,\ \ y=\sec \theta,\ \ y=\csc \theta.

Functions y=\tan \theta and y=\sec \theta have the same vertical asymptotes (when \cos \theta =0).

Functions y=\cot \theta and y=\csc \theta have the same vertical asymptotes (when \sin \theta =0). See attached diagram

3 0
3 years ago
Suppose a marketing company wants to determine the current proportion of customers who click on ads on their smartphones. It was
andrezito [222]

Answer:

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 100, p = 0.42

92% confidence level

So \alpha = 0.08, z is the value of Z that has a pvalue of 1 - \frac{0.08}{2} = 0.96, so Z = 1.75.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.3336

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.42 - 1.75\sqrt{\frac{0.42*0.58}{100}} = 0.5064

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).

4 0
3 years ago
Aaron bought a set of plastic ice cubes with a mixture of water and air inside.
adoni [48]

Answer:

The volume of water and air inside the plastic ice cube is 3000 mm³

Step-by-step explanation:

* Lets described the figure

- It consists of two identical rectangular pyramids stuck together

 in their bases

- The dimensions of the base are 15 mm and 20 mm

- The height of ice cube is 30 mm

∴ The height of each pyramid = 30 ÷ 2 = 15 mm

* Lets talk about the volume of the rectangular pyramid

- The pyramid has a rectangular base and 4 triangular faces

- We have formulas to calculate the volume of the pyramid.

- To find the volume, we use the formula V = (1/3)AH, where

 A = area of the pyramid's base and H = height of the pyramid

∵ The dimensions of the base are 20 mm and 15 mm

∴ A = 20 × 15 = 300 mm²

- The height of the pyramid is 15 mm

∵ H = 15 mm

∵ V = 1/3(AH)

∴ V = 1/3(300 × 15) = 1500 mm³

- The ice cube made from two identical rectangular pyramids

∴ The volume of the ice cube = 2 × 1500 = 3000 mm³

- The volume of the water and the air inside the ice cube equal

 the volume of the ice cube

* The volume of water and air inside the plastic ice cube is 3000 mm³

3 0
3 years ago
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