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Gennadij [26K]
3 years ago
12

A = , b = , c = HELP ASAP!WILL MARK BRAINLIEST AND WORTH 23 POINTS!

Mathematics
2 answers:
balu736 [363]3 years ago
6 0

Answer:

a = 2

b = 3

c = 2³ or 8

Step-by-step explanation:

Exponent Rule: \frac{b^m}{b^n} =b^{m-n}

log₂(4) = 2 or 2² = 4

2⁵/2² = 2³

2³ = 8

Lena [83]3 years ago
5 0

Answer:

a=2

b=3

c=8

Step-by-step explanation:

a=2, 2^a must equal 4

b=3, 2^b must equal 8 which is answer to 2⁵/4

c=8, the answer to 2⁵/4, and

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Translate the sentence into an equation.
Ksju [112]

Answer

2x - 7 = 4

Step-by-step explanation:

7 0
3 years ago
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Solve the rational equation
9966 [12]

Answer:

1) x=1; x= 0 is an extraneous solution

Step-by-step explanation:

5 = 4x + 1

5 = 4 x 1 + 1

5 = 5

x = 1

______________________

x x^2

0 x 0^2

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4 0
2 years ago
Driving under the influence of alcohol (DUI) is a serious offense. The following data give the ages of a random sample of 50 dri
o-na [289]

Answer:

Explanation below.

Step-by-step explanation:

For this case we have the following dataset:

46, 16, 41, 26, 22 ,33, 30, 22 ,36, 34,

63, 21, 26, 18, 27, 24, 31, 38, 26, 55,

31,  47, 27, 43 ,35, 22 ,64,40, 58, 20,

49, 37, 53, 25, 29, 32, 23, 49, 39, 40,

24, 56, 30, 51, 21, 45, 27, 34, 47, 35

So we have 50 values. The first step on this case would be order the dataset on increasing way and we got:

16, 18, 20, 21, 21, 22, 22, 22, 23, 24,

24, 25, 26, 26, 26, 27, 27, 27, 29, 30

30, 31, 31, 32, 33, 34, 34, 35, 35, 36,

37, 38, 39, 40, 40, 41, 43, 45, 46, 47,

47, 49, 49, 51, 53, 55, 56, 58, 63, 64

We can find the range for this dataset like this:

Range = Max-Min = 64-16 =48

Then since we need 7 classes we can find the length for each class doing this:

W = \frac{48}{7}=6.86

And now we can define the classes like this and counting how many observations lies on each interval we got the frequency:

  Class           Frequency      Midpoint           RF                   CF

________________________________________________

[16-22.86)              8               19.43         (8/50)=0.16           0.16

[22.86-29.71)         11              26.29        (11/50)=0.22          0.38

[29.71-36.57)         11               33.14         (11/50)=0.22          0.6

[36.57-43.43)         7               40.0          (7/50)=0.14           0.74

[43.43-50.29)        6               46.86        (6/50)=0.12          0.86

[50.29-57.14)         4               53.72        (4/50)=0.08         0.94

[57.14-64]               3               60.57        (3/50)=0.06           1.0

________________________________________________

Total                         50                                         1.00

RF= Relative frequency. CF= Cumulative frequency

The relative frequency was calculated as the individual frequency for a class divided by the total of observations (50)

The mid point is the average between the limits of the class.

And the cumulative frequency is calculated adding the relative frequencies for each class.

8 0
4 years ago
Solve the following compound inequality: (1 point)
valentinak56 [21]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: x < -2 \:\: or \:\; x >4

____________________________________

\large \tt Solution  \: :

\textsf{First Inequality :}

\qquad \tt \rightarrow \:  - 2(x + 8) + 6 > x - 4

\qquad \tt \rightarrow \:  - 2x - 16 + 6 > x - 4

\qquad \tt \rightarrow \:  - 2x - 10 > x - 4

\qquad \tt \rightarrow \:  - 10 + 4  > x + 2x

\qquad \tt \rightarrow \:  - 6 > 3x

\qquad \tt \rightarrow \:  -   \cfrac{ 6}{3}  > x

\qquad \tt \rightarrow \:  - 2 > x

\qquad \tt \rightarrow \: \therefore x <  - 2

\textsf{Second Inequality :}

\qquad \tt \rightarrow \:  - 3x + 12 < 6(x - 4)

\qquad \tt \rightarrow \:  - 3x + 12 < 6x - 24

\qquad \tt \rightarrow \:  12 + 24 < 6x + 3x

\qquad \tt \rightarrow \: 36 < 9x

\qquad \tt \rightarrow \:  \cfrac{36}{9}  < x

\qquad \tt \rightarrow \: 4 < x

\qquad \tt \rightarrow \:  \therefore x > 4

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

7 0
2 years ago
Two word problems :)
natita [175]

Answer:

Step-by-step explanation:

1.43

2.98

6 0
3 years ago
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