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solmaris [256]
3 years ago
7

What multiplies to 42 and adds to -27

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0
Consider ways to multiply to get 42. Then see if the numbers can be used to make -27.

42 = 21 × 2...not going to work.
42 = 14 × 3...not going to work. (Though -14 and -3 add to -<em>17</em>)
42 = 7 × 6...not going to work.

There are no whole number solutions to this question.
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Riley has collected surveys for her final thesis project. One one question, 46.1% of respondents said that conditions were impro
ira [324]

Answer:

The maximum value of the confidence interval for this set of survey results is 51.73%.

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound.

These bounds depend on the sample proportion and on the margin of error.

The lower bound is the sample proportion subtracted by the margin of error.

The upper bound is the margin of error added to the sample proportion.

In this question:

Sample proportion: 46.1%

Margin of error: 5.63%.

Maximum value is the upper bound:

46.1+5.63 = 51.73

The maximum value of the confidence interval for this set of survey results is 51.73%.

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William and Stephanie are playing a rather dangerous game of catch on the rooftops of skyscrapers in downtown Chicago. William i
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The question involves the concept & equations associated with projectile motion.

Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²


Of the possible equations of motion, the one we'll find useful is:

y₂ = y₁ + v₁t + 1/2gt²

We can just plug and chug to define the equation of motion:

<u><em>y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²</em></u>


<em>(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)</em>

7 0
3 years ago
The area of a triangle is<br> A = bh/2<br> What would be the formula for h?
babymother [125]

Answer:

h = 2A/b

Step-by-step explanation:

multiply both sides by 2

2A = bh

divide both sides by b

2A/b = h

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Answer:

Opt. 1 -3 ≤ x ≤ 3

Step-by-step explanation:

Inequalities are regions, the attached picture shows us a region located between -3 and 3, the dots used are solid, this means that the value '3' is include in the region.

Hence the variable is narrowed to -3 and 3.

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3 years ago
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3 years ago
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