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Jet001 [13]
3 years ago
10

How many tons are equal to 40,000 pounds

Mathematics
2 answers:
dmitriy555 [2]3 years ago
6 0

1 pound = 0.0005 tons

40,000 x 0.005 = 20

So there are 20 tons in 40,000 pounds so your answer would be C.

Hope this Helps!!

UNO [17]3 years ago
4 0

The answer is C. 20. Hope this helps!

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An object is launched at 19.6 m/s from a height of 58.8 m. The equation for the height (h) in terms of time (t) is given by h(t)
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H(t) = Ho +Vot - gt^2/2

Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2

H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2

Maximun height is at the vertex of the parabole

To find the vertex, first find the roots.

58.8 + 19.6t - 4.9t^2 = 0

Divide by 4.9

12 + 4t - t^2 = 0

Change sign and reorder

t^2 - 4t -12 = 0 

Factor

(t - 6)(t + 2) =0 ==> t = 6 and t = -2.

The vertex is in the mid point between both roots

Find H(t) for: t = [6 - 2]/2 =4/2 = 2

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H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4

Answer: the maximum height is 78.4 m
5 0
3 years ago
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

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  • Population standard deviation = \sigma = $30.20
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  • Level of significance = \alpha = 2.5% = 0.025
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Forming hypotheses:

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where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

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Answer:

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Answer:

Step-by-step explanation:

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The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method

<h3>Trigonometry</h3>

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Applying the SOH CAH TOA Approach we have

Tan  θ = Opp/Adj

Substituting our given data we have

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x = 400/0.4738

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