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Anika [276]
3 years ago
10

The table represents an exponential function.

Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

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MO bisects angle LMN , angle LMO = 6x-22 and angle NMO = 2x +34. Solve for x and find angle LMN.
Mkey [24]

Answer:

  • x=14
  • \angle{LMN}=124\textdegree

Step-by-step explanation:

<u><em>To Determine:</em></u>

Solve for x and find angle LMN.

<u><em>Fetching Information and Solution Steps:</em></u>

Considering the angle \angle{LMN}

As MO bisects the angle \angle{LMN} into two equal angle parts. These equal angles are:

\angle{LMO}=6x-22

\angle{NMO}=2x+34

As these angles are equal. i.e.

\angle{LMO}=\angle{NMO}

6x-22=2x+34

\mathrm{Add\:}22\mathrm{\:to\:both\:sides}

6x-22+22=2x+34+22

6x=2x+56

\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}

6x-2x=2x+56-2x

4x=56

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4x}{4}=\frac{56}{4}

\mathrm{Simplify}

x=14

Hence, x=14

As  \angle{LMN} was cut into two equal parts \angle{LMO} and \angle{NMO}

So,

\angle{LMN} = \angle{LMO} + \angle{NMO}

            = 6x-22+2x+34

            = 8x + 12

            = 8(14) + 12     ∵ x=14

            = 124\textdegree

Therefore, \angle{LMN}=124\textdegree

Keywords: angle bisector, congruent angles

Learn more about angle bisector and congruent angles from brainly.com/question/711370

#learnwithBrainly

3 0
3 years ago
P-value test and Ctitical Value test are identical. P-value and Critical value are two different names for the same steps. They
creativ13 [48]

Answer:

Option B - False

Step-by-step explanation:

Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.

Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

Thus, it's clear critical values are different from P-values and they can't be used interchangeably.

8 0
3 years ago
Find m QRS? who can help me?​
Ratling [72]

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

4 0
2 years ago
Read 2 more answers
Ugh help again i had to do it again
Liono4ka [1.6K]

Answer:

60

Step-by-step explanation:

7 0
2 years ago
A 5-kg ham is sliced for sandwiches. There are 125 slices. How many grams are in each slice?
stellarik [79]
There are 40grams in each slice because 5kg / 125 = 0.04kg = 40g


Hope his helps!! And if it does, plz make Brainliest!
5 0
3 years ago
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