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Semmy [17]
3 years ago
10

Test your solution in the equation 0.6+15b+4=25.6

Mathematics
2 answers:
V125BC [204]3 years ago
8 0

Step-by-step explanation:

0.6+15b+4 = 25.6______eq.(I)

multiplying both sides by 10 we get,

10(0.6+15b+4) = 25.6*10

6+ 150b + 40 = 256

b. = (256 - 46)/150

= 210/150

= 7/5

b = 1.4

To test ,

Put. b= 1.4 in eq .(I)

0.6+ 15*1.4 +4 = 25.6

0.6+ 21 + 4. = 25.6

25.6 = 25.6

sleet_krkn [62]3 years ago
7 0

Answer:

b = 21/15

Step-by-step explanation:

0.6+15b+4=25.6

15b + 4.6 = 25.6

15b = 25.6 - 4.6

15b = 21

b = 21/15

Test:

0.6 + 15*21/15 + 4 = 25.6

06 + 21 + 4 = 25.6

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Answer:

1/3 or 33.333333333%

Step-by-step explanation:

Two 9's

Six number possible

2/6= 1/3

Probability:

1/3 or 33.33333333%

3 0
3 years ago
Read 2 more answers
Find the domain and range of the exponential function h(x) = 125x.
kirill [66]
H(x) = 125^x

Domain: all the real numbers (from negative infinity to infinity)

Range: all the positive real numbers.

As x decreases 125^x decreases approaching to 0. The function will never reach the value 0 but will approximate to it as x goes to negative infinity. The rate of decreasing gets lower and lower, with a limit of zero, when x becomes more and more negative.

As x increases 125^x increases indefinetely and at an increasing rate. That means that the increase is accelerated (the bigger the value of x the bigger the rate of increasing).
4 0
3 years ago
17
xz_007 [3.2K]

Answer:

Center =  \boxed{1}, \: \boxed{ - 2} \: ; \: Radius =  \boxed{3}

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  - 2x + 4y - 4 = 0 \\  \\  ({x}^{2}  - 2x + 1 - 1) + ( {y}^{2}  + 4y + 4 - 4) - 4 = 0 \\  \\ ( {x}^{2}  - 2x + 1) + ( {y}^{2}  + 4y + 4) - 9 = 0 \\  \\  {(x - 1)}^{2}  +  {(y + 2)}^{2}  = 9 \\  \\ {(x - 1)}^{2}  +  {(y + 2)}^{2}  =  {3}^{2}  \\  \\ equating \: it \: with \\  \\  {(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}  \\  \\ h = 1 \\ k =  - 2 \\ r = 3 \\  \\ center =  \boxed{1} \: \boxed{ - 2} \:  \: radius =  \boxed{3}

3 0
3 years ago
Which is the graph of y=3/4x-3<br><br> Graph A<br> Graph B<br> Graph C.
irina [24]

Answer:

Graph A

Step-by-step explanation:

I had this question in my class and got it right with answer A :')

8 0
3 years ago
In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population stand
yKpoI14uk [10]

Answer: =(29.1596\text{ degrees},\ 30.2404\text{ degrees})

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean \overline{x}= 29.7 degrees

Population standard deviation \sigma=2.7 degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

Confidence level for population mean :-

\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}

=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}

=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}

=29.7\pm ( 1.2816)(0.42167)

=29.7\pm 0.5404

=(29.7-0.5404,\ 29.7+0.5404)

=(29.1596,\ 30.2404)

Hence, 80% confidence interval for the temperatures in the freezer =(29.1596\text{ degrees},\ 30.2404\text{ degrees})

7 0
3 years ago
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