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4 years ago

8

The graph of an equation with a negative discrimiant always has which characteristic?

1 answer:

Leokris [45]4 years ago

6 0

Answer is A. no x-intercept

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Solve each calculation. Be sure to report your answer with the correct number of significant figures.

Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg × 1.1010 dg

12.0 m ÷ 3.1415 m

Answer:

1. $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2. $\frac{12}{3.1415} = 3.8198$

Step-by-step explanation:

1. 5.61000 dg × 1.1010 dg

We start by representing each digit using scientific notation

$5.61000 = 561000 * 10^{-5}$

$1.1010 = 11010 * 10^{-4}$

Then, Multiply both numbers

$561000 * 10^{-5} * 11010 * 10^{-4}$

First, rearrange

$561000 * 11010 * 10^{-5} * 10^{-4}$

$6176610000 * 10^{-5} * 10^{-4}$

From law of indices, $10^{-5} * 10^{-4} = 10^{-9}$ ;

So, we have

$6176610000 * 10^{-9}$

$6.176610000$

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives $6.177$

Hence, $5.61000dg * 1.1010dg$ = $6.177 dg^2$

2.

12.0 m ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = $\frac{12}{3.1415}$

We start by representing 3.1415 using scientific notation

$3.1415 = 31415 * 10^{-4}$

By substitution;

$\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}$

Take $10^{-4}$ to the numerator

$\frac{12}{3.1415} = \frac{12 * 10^4}{31415}$

From law of indices, $10^{4}$ = 10000

$\frac{12}{3.1415} = \frac{12 * 10000}{31415}$

Multiply

$\frac{12}{3.1415} = \frac{120000}{31415}$

Divide

$\frac{12}{3.1415} = 3.81983129078$

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

$\frac{12}{3.1415} = 3.8198$

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4 years ago

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Vanyuwa [196]

The radical expression is D

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3 years ago

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Solve this equation.<br> Y/4-4=5 y=

pantera1 [17]

Answer:

16/19

Step-by-step explanation:

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3 years ago

ILL GIVE BRAINLIEST

LenaWriter [7]

Answer:

A. is the appropriate answer to carl's proof

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3 years ago

A farmer outside of Clinton NC plants 20 plots of a new type of corn. The average yield for these plots is ī= 150 bushels per ac

bogdanovich [222]

Answer:

The 95% confidence interval is $(150\pm 8.8)$ .

Step-by-step explanation:

The information provided is:

$\bar x=150\\\sigma = 20\\n=20$

The critical value for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the margin of error as follows:

$MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}$

$=1.96\times\frac{20}{\sqrt{20}}\\\\=1.96\times 4.47214\\\\=8.7653944\\\\\approx 8.8$

Then the 95% confidence interval is:

$CI=\bar x\pm MOE$

$=150\pm 8.8$

Thus, the 95% confidence interval is $(150\pm 8.8)$ .

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3 years ago