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4 years ago

Write 2 4/7 as an improper fraction

Mathematics

1 answer:

laila [671]4 years ago

3 0

Multiply 2 by 7, which is 14, and add it to the 4 in the numerator. The fraction becomes 18/7

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Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3.

jarptica [38.1K]

$\bf f(x)=\cfrac{2x^2-5x+2}{x-3}\impliedby 
\begin{array}{llll}
\textit{now, we can do a quick synthetic}\\
\textit{division, since the divisor is}\\
x-3
\end{array}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrl}
3&&2&-5&2\\
&&&6&3\\
--&&--&--&--\\
&&2&1&\boxed{5}&\leftarrow remainder
\end{array}\\\\
-------------------------------\\\\
\textit{so the quotient is }2x+1\impliedby \textit{oblique asymptote}\implies y=2x+1$

4 0

3 years ago

Read 2 more answers

A lumber company is making boards that are 2920.0 millimeters tall. If the boards are too long they must be trimmed, and if the

Effectus [21]

Answer:

The value of the test statistic is of 0.22.

Step-by-step explanation:

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the expected mean, $\sigma$ is the standard deviation(square root of the variance) and n is the size of the sample.

A lumber company is making boards that are 2920.0 millimeters tall.

This means that $\mu = 2920$ .

A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.

This means that $X = 2922.7, n = 12, \sigma = \sqrt{121} = 11$ . So

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{2922.7 - 2922}{\frac{11}{\sqrt{12}}}$

$t = 0.22$

The value of the test statistic is of 0.22.

4 0

3 years ago

What features do all right triangles have in common

alexdok [17]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is that there is a right angle(90 degrees) and also there are three sides.

Explanation: Since all right triangles have a right angle, and also is a triangle, they have three sides and one is 90 degrees.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

5 0

4 years ago

Read 2 more answers

Write the equation for a parabola with a focus at ( 7, 2) and a directrix at y = -2<br> y = ?

horrorfan [7]

A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)

5 0

3 years ago

What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nea

ad-work [718]

Answer:

Step-by-step explanation:

See attachment for the figure

Volume of pyramid can be defined as

V = 1/3 x area of the base x height.

-> Pyramid A:

Volume of Pyramid can be determined by:

V = 1/3 x (2.6cm)² x (2cm) = 4.5067 cm³

Pyramid B:

Volume of Pyramid can be determined by:

V = 1/3 x (2cm)² x (2.5cm) = 3.3333 cm³

Difference b/w two oblique pyramids: 4.5067 cm³ - 3.333 cm³ = 1.17 cm³

By Rounding the volumes to the nearest tenth of a centimeter

1.17cm³ ≈ 1.2cm³

Therefore, the difference of the volumes of the two oblique pyramids is 1.2cm³

4 0

3 years ago