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Lapatulllka [165]
1 year ago
12

is

C%3A%20the%20%5C%3A%20power%20%5C%3A%20of%20%5C%3A%2099%7D%20" id="TexFormula1" title=" \frac{3to \: the \: power \: of \: 100}{3to \: the \: power \: of \: 99} " alt=" \frac{3to \: the \: power \: of \: 100}{3to \: the \: power \: of \: 99} " align="absmiddle" class="latex-formula">greater than,less than, or equal to 3
Mathematics
1 answer:
Norma-Jean [14]1 year ago
7 0

Remember the laws of exponents:

\frac{a^n}{a^m}=a^{n-m}

Then:

\begin{gathered} \frac{3^{100}}{3^{99}}=3^{100-99} \\ =3^1 \\ =3 \end{gathered}

Therefore:

\frac{3^{100}}{3^{99}}=3

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What number completes the following equation 8× (40+7) =(8× )+(×7)
Vladimir [108]
8x( 47 ) = 8x + 7x
8x( 47 ) = 8x( 2 ) - x
8x( 47 - 2 ) = - x
8x( 45 ) = - x
360x = - x
x = -360x

I don't think the question can be done
Is the question wrong?
because there's no answer other than 0.
5 0
3 years ago
Based on the survey results from 300 selected students in the Burbank School District (BSD), the 98% confidence interval used to
Pavlova-9 [17]

Answer:

follows are the solution to this question:

Step-by-step explanation:

Please find the correct question in the attached file:

The formula for calculating the Confidence interval of proportion:

\to CI=\hat{p} \pm Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to  \hat{p}=\frac{\text{lower limit +upper limit}}{2}\\

      =\frac{0.48+0.60}{2}\\\\=\frac{1.08}{2}\\\\=0.54

The number of learners with access to working at home on a computer:

= 0.54 \times 300 \\\\=162

Lower limit =0.48

upper limit = 0.60

\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\

                          =\frac{0.60-0.48}{2}\\\\=\frac{0.12}{2}\\\\= 0.06

5 0
3 years ago
Which of the following numbers is greater than 7.03?
iren [92.7K]

Answer:

A:7.031

Step-by-step explanation:

both 7, but 7.031  has 031.  7.03  only has .03.

4 0
3 years ago
Please help lol... find the m
erastova [34]

Answer:

Angle A  =35

Step-by-step explanation:

ok that is a triangle

look exterior plus interior is 180

corresponding angles

x+74

now lets solve for the angle a

triangle = 180 degrees

180=73+x+74+37+x

combine like terms

x=−2

now plug in for angle a

37+(-2)

=35

8 0
3 years ago
g Given the following premises: (1) a∧(b∨a) (2) ~c→~a (3) ~g→~a (4) g→e (5)~(d∨h) Prove the Conclusion: c∧~h?
KIM [24]

Answer:

See the argument below

Step-by-step explanation:

I will give the argument in symbolic form, using rules of inference.

First, let's conclude c.

(1)⇒a  by simplification of conjunction

a⇒¬(¬a) by double negation

¬(¬a)∧(2)⇒¬(¬c) by Modus tollens

¬(¬c)⇒c by double negation

Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.

An alternative approach to De Morgan's law is the following:

By contradiction proof, assume h is true.

h⇒d∨h by addition

(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.    

8 0
3 years ago
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