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cupoosta [38]
2 years ago
9

Which of the following Is a binomial?A. 7x+21, B. 3/x, C. 8x^2+6x+5, D. 19x^4​

Mathematics
1 answer:
zheka24 [161]2 years ago
3 0

Answer: a

Step-by-step explanation:

a is a binomial

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The length of a rectangle is three times the width. The perimeter of the rectangle is at most 112cm. Which inequality models the
EleoNora [17]

Answer:

8x⩽112

Step-by-step explanation:

Width of the rectangle (in centimeters) = x

Therefore, the lenght of the rectable is 3x (in centimeters).  

The perimeter of the rectangle (in centimeters) is : 2x+2*3x=2x+6x=8x.

The perimeter of the rectangle is at most 112cm, therefore, 8x⩽112.

8 0
3 years ago
The fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviati
ololo11 [35]

Answer:

0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.

Step-by-step explanation:

Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.

\mu_x=14.1 , \sigma_x=2

n=number of selected pieces= 100.

The probability that the average fracture strength of 100 pieces of this glass exceed 14.3 is

P(\overline X>14.3)=P(\frac{\overline X-\mu_x}{2/\sqrt n}>\frac{14.3-14.1}{2/\sqrt{100}})

                    =P(\overline X>1)

                    =1-P(\overline X\leq 1)

                    = 1 - 0.84134

                    =0.15866.

3 0
2 years ago
FIRST ONE TO ANSWER GETS BRAINLIEST!!!!
-Dominant- [34]

Answer:

The maximum distance traveled is 4.73 meters in 0.23 seconds.

Step-by-step explanation:

We have that the distance traveled with respect to time is given by the function,

d(t) = 4.9t^2-2.3t+5.

Now, differentiating this function with respect to time 't', we get,

d'(t)=9.8t-2.3

Equating d'(t) by 0 gives,

9.8t - 2.3 = 0

i.e. 9.8t = 2.3

i.e. t = 0.23 seconds

Substitute this value in d'(t) gives,

d'(t) = 9.8 × 0.23 - 2.3

d'(t) = 2.254 - 2.3

d'(t) = -0.046.

As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.

Thus, the maximum distance the skateboard can travel is given by,

d(t) = 4.9\times 0.23^2-2.3\times 0.23+5.

i.e. d(t) = 4.9\times 0.0529-2.3\times 0.23+5.

i.e. d(t) = 0.25921-0.529+5.

i.e. d(t) = 0.25921-0.529+5.

i.e. d(t) = 4.73021

Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.

5 0
3 years ago
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