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3 years ago

Does this table represent an exponential function x 1 2 3 4 y -1 -8 -27 -64

1 answer:

4 0

$\bf \begin{array}{ccll}
x&y\\
\cline{1-2}
1&\stackrel{-1^3}{-1}\\\\
2&\stackrel{-2^3}{-8}\\\\
3&\stackrel{-3^3}{-27}\\\\
4&\stackrel{-4^3}{-64}\\\\
x&-x^3
\end{array}~\hspace{5em}\boxed{y=-x^3}~~\checkmark$

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I 1/4 greater or less than 1/2

tangare [24]

1 1/4 is greater than 1/2

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There are 2- 1/4's in 1/2

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3 years ago

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iren2701 [21]

Answer:

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Step-by-step explanation:

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3 years ago

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Use the graph to complete the statements.

anygoal [31]

The slope of JK is -6/5.

The slope of PQ is 12/ 15.

These lines are neither parallel nor perpendicular.

Step-by-step explanation:

From the graph shown,

It can be determined that the point J is (0,5) and K is (10,-7).

The point P is (-5,-8) and Q is (10,4).

The formula for slope is given by,

Slope = $\frac{y2-y1}{x2-x1}$

To find the slope of line JK :

J ⇒ (0,5) = (x1,y1)

K ⇒ (10,-7) = (x2,y2)

Slope of JK = $\frac{-7-5}{10-0}$

⇒ $\frac{-12}{10}$

⇒ $\frac{-6}{5}$

∴ The slope of JK is -6/5.

To find the slope of line PQ :

P ⇒ (-5,-8) = (x1,y1)

Q ⇒ (10,4) = (x2,y2)

Slope of PQ = $\frac{4+8}{10+5}$

⇒ $\frac{12}{15}$

∴ The slope of PQ is 12/ 15.

To find the relation between two lines :

The parallel lines have same slope.
The perpendicular lines have a slope of negative reciprocal.

∴ These lines are neither parallel nor perpendicular.

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3 years ago

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Researchers are planning a study to estimate the impact on crop yield when no-till is used in combination with residue retention

Greeley [361]

Answer: n= 14

Step-by-step explanation:

The formula to find the sample size :_

$n= p(1-p)(\dfrac{z^*}{E})^2$

, where p= Prior estimate of population proportion.

z* = Critical value.

E= Margin of error.

Given : Prior estimate of population proportion : p= 0.025

We know that , the critical value for 90% confidence interval :

$z^*=1.645$

E= 7.0%=0.070

Then , the required minimum sample size :

$n= (0.025)(1-0.025)(\dfrac{1.645}{0.07})^2\\\\=(0.025)(0.975)(23.5)^2\\\\13.46109375\approx14$

i.e. n= 14

Hence, the sample size needed : n= 14

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3 years ago

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marissa [1.9K]

Answer:

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Step-by-step explanation:

Its quite simple. just take 6 divided by 5

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3 years ago

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