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trasher [3.6K]
3 years ago
7

If g(x) = 3x + 8, evaluate g(2)

Mathematics
1 answer:
Mkey [24]3 years ago
7 0

Answer:

g(2) = 14

Step-by-step explanation:

g(x) = 3x + 8

g(2) = 3(2) + 8

g(2) = 14

g(2)=14 Hope this helps

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A right triangle has side lengths 12 centimeters and 14 centimeters. Name two possible side lengths for the third side, and expl
madam [21]

Answer:

If 12 and 14 are both side lengths then we solve for the hypotenuse:

hypotenuse^2 = 12^2 + 14^2

hypotenuse^2 = 144 + 196

hypotenuse^2 = 340

hypotenuse = sq root (340) = 18.4390889146

If hypotenuse = 14, then third side equals:

(3rd side)^2 = 14^2 - 12^2

(3rd side)^2 = 196 -144

(3rd side)^2 = 52

3rd side = sq root (52) = 7.2111025509

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The area of a rectangle is w^2+4w=60 where w is the width. find the width.
Svetradugi [14.3K]

The width of rectangle is 6.

Step-by-step explanation:

Given,

Area of rectangle; w²+4w=60

As w is the width, we will solve the equation to find w.

w^2+4w=60

Subtracting 60 from both sides

w^2+4w-60=0

Factorizing the equation;

w^2+10w-6w-60=0\\w(w+10)-6(w+10)=0\\(w+10)(w-6)=0

Either,

w+10=0         => w=-10

Or,

w-6=0           =>w=6

As width cannot be negative, therefore

Width = 6

The width of rectangle is 6.

Keywords: area, rectangle

Learn more about area at:

  • brainly.com/question/1349456
  • brainly.com/question/1357167

#LearnwithBrainly

6 0
3 years ago
The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.
Anton [14]

Answer:

a) The evidence suggest the true mean life of a biomedical device > 5500

b) (5487.94, +∞)

c) There is evidence to support that the mean is equal to 5500

Step-by-step explanation:

Here we have

(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500

Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is

H₀:  μ = 5500

Therefore, the alternative hypothesis will be

Hₐ:  μ > 5500

The test statistic is then found by;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}} =\frac{5617.8-5500 }{\frac{234.5 }{\sqrt{15}}} \approx 1.95

The P value from the T table at df = n - 1 = 15 - 1 = 14 is

0.025 < P < 0.05

The P value is given as 0.036 from the T distribution at 14 derees of freedom df

Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ:  μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500

(b) The 95% confidence interval is given as

CI=\bar{x}\pm t_\alpha \frac{s}{\sqrt{n}}

Which gives    t_\alpha =  \pm2.145

CI=5617.8\pm 2.145 \times \frac{234.5}{\sqrt{15}}

The confidence interval of the lower bound on the mean is then

(5487.94, +∞)

c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.

6 0
3 years ago
(8y²+2)+(5-3y²) onojnonl
LekaFEV [45]

Answer:

5y^2 +7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Leslie joins a fitness club that has a
agasfer [191]

Answer:

4

Step-by-step explanation:

15x+20 = 40 +10x

x = 4

6 0
3 years ago
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