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Vaselesa [24]
2 years ago
15

Consider the following 8 numbers, where one labelled x is unknown. 31, 44, 43, x, 47, 11, 26, 29 Given that the range of the num

bers is 57, work out 2 values of x
Mathematics
1 answer:
Nataly [62]2 years ago
4 0

Answer: -10 and 68

Step-by-step explanation:

We have the numbers, ordered from least to greatest:

11, 26, 29, 31, 43, 44, 47 and x.

The range is equal to the difference between the largest number and the smallest number, so, x can take two values.

The smallest number:

here we have that:

47 - x = 57

x = 47 - 57 = -10

The other possibility is that x is the largest number, in this case, we have that:

x - 11 = 57

x = 57 + 11 = 68.

Then the two possibla values of x are -10 and 68

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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE
katovenus [111]
That is true. 4 and 5 are corresponding angles.
8 0
2 years ago
What is the value of y? <br><br><br> • 3 <br> • 4 <br> • 5<br> • 6
coldgirl [10]
I think the answer is 6 but I might not be right. Please don’t be mad if it’s wrong. :(
5 0
3 years ago
Read 2 more answers
When factored completely, <br> X^3-7x^2-30x
sweet-ann [11.9K]

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

5 0
2 years ago
1/20
Vladimir [108]

Answer:

120th caller

Step-by-step explanation:

120 is the common number by 40 and 30. trust me on this I'm really good at this subject in math.

8 0
2 years ago
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