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coldgirl [10]
3 years ago
5

BRAINLIEST PLEASE HELP ASAP!!!!

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

For this case we have that by definition of power properties it is fulfilled that:

(a ^ n) ^ m = a ^ {n * m}

We must rewrite the following function:

f (x) = 7 (\frac {1} {2})^{3x}}

Using the mentioned property we have:

f (x) = 7 ((\frac {1} {2}) ^ 3) ^ x

Solving the operation within the parenthesis we have:

f (x) = 7 (\frac {1 ^ 3} {2 ^ 3}) ^{ x}\\f (x) = 7 (\frac {1} {8})^{x}

Thus, the correct option is option B

ANswer:

Option B

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OlgaM077 [116]
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
 the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)
3 0
3 years ago
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- Which number line represents the solution to the inequality -5x +18&gt; -22 ?
Rufina [12.5K]

Answer:

B

Step-by-step explanation:

the symbol is gonna mean thats is finna be a closed circle, so then B is your only option

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3 years ago
Which is the graph of the solution to the following compound inequality 7x + &gt; 52 or 3 - x &gt; 9
storchak [24]

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Step-by-step explanation:


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You have been doing research for your statistics class on the prevalence of severe binge drinking among teens. You have decided
Serggg [28]

Answer:

(1.218 ; 1.322)

the confidence interval is appropriate

Step-by-step explanation:

The confidence interval :

Mean ± margin of error

Sample mean = 1.27

Sample standard deviation, s = 0.80

Sample size, n = 914

Since we are using tbe sample standard deviation, we use the T table ;

Margin of Error = Tcritical * s/√n

Tcritical at 95% ; df = 914 - 1 = 913

Tcritical(0.05, 913) = 1.96

Margin of Error = 1.96 * 0.80/√914 = 0.05186

Mean ± margin of error

1.27 ± 0.05186

Lower boundary = 1.27 - 0.05186 = 1.218

Upper boundary = 1.27 + 0.05186 = 1.322

(1.218 ; 1.322)

According to the central limit theorem, sample means will approach a normal distribution as the sample size increases. Hence, the confidence interval is valid, the sample size of 914 gave a critical value at 0.05 which is only marginally different from that will obtained using a normal distribution table. Hence, the confidence interval is appropriate

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The hourly rate is $31.50
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