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Radda [10]
3 years ago
10

Solve: log2 (x + 5) = 3

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

simplified is -2

Step-by-step explanation:

......

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f(x) = 4x^2+2x+6 What is the value of the discriminant of f? How many distinct real number zeros does f have?
Sauron [17]

Answer:

The value of Discriminant of the function is -92

It has ZERO distinct real number zeros.

Step-by-step explanation:

Given:

f(x)=4x^{2} +2x+6

Which is a Quadratic Equation in the general form of

ax^{2}+bx+c=0

where a,b and c are constants.So on comparing the given equation with general form we get,

a=4\\b=2\\c=6

Formula for discriminant we have

Discriminant=b^{2}-4ac\\ =2^{2}-4(4)(6)\\ =4-96\\=-92

now for zeros  we have

x=\frac{-b+\sqrt{b^{2-4ac} } }{2a} \\or\\x=\frac{-b-\sqrt{b^{2-4ac} } }{2a} \\

on substituting these values we get

x=\frac{-2+\sqrt{-92} }{8}

or

x=\frac{-2-\sqrt{-92} }{8}

the term \sqrt{-92} is imaginary

hence the zeros are not real number

3 0
3 years ago
Read 2 more answers
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

Z = \frac{X - \mu}{\sigma}

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
Simplify the expression. Write answer without spaces between terms and signs.
dsp73

Answer:

4h-7

Step-by-step explanation:

Step by Step Solution

STEP1:Equation at the end of step 1 (1 - 2h) + 2 • (3h - 4) STEP2:

Final result :

4h - 7

4 0
3 years ago
Read 2 more answers
Consider a game in which player 1 moves first. the set of actions available to player 1 is a1={a,b,c}. after observing the choic
Butoxors [25]
Since player 1 moves first, At the Time player-2 Only has 3 information sets to move at which means from player 1 's A ( player-2 can play a,b,c,d) , player-1's B ( player-2 can play a,b,c,d)and player-1's C ( player-2 can play a,b,c,d).

4 0
4 years ago
hi can you guys please answer each of these questions accurately I'm kind of in a rush, so pls help as soon as you can I'm also
RUDIKE [14]

Answer:

Step-by-step explanation:

(1)  6 yd 1 ft plus 9 yd 1 ft works out to 15 yd 2 ft, or 15 2/3 yd.

(2)    8' 3" less 5' 5" requires "borrowing."  Since 1 ft = 12 in, your 8' 3" becomes 7' 12".

 Subtracting 5' 5" from 7' 12" yields 2' 7"

(3)    25 lb 8 oz less 15 lb 10 oz also requires borrowing.

        1 lb = 16 oz, so:

       25 lb 8 oz = 24 lb 24 oz.  Then we subtract 15 lb 10 oz from 24 lb 24 oz:

        9 lb 14 oz

5 0
3 years ago
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