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3 years ago

PLEASE HELP!!!!!!!!!!

Mathematics

1 answer:

kobusy [5.1K]3 years ago

4 0

73 feet per second

Steps-
Miles to cover- 50 miles = 50*5280 feet = 264,000 feet
Time it takes- 1 hour = 1*60*60 seconds = 3,600 seconds

So speed is- 264,000 feet per 3,600 seconds = 264,000 / 3,600 = 73.33 ft per second

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The length of a box as reported by its manufacturer is 13.67 cm. Joe has a ruler which has markings for each millimeter. Which m

AlekseyPX

Answer:

Option (3)

Step-by-step explanation:

Joe has a ruler which has markings for each millimeter, so the least measurement which Joe can do is in millimeter.

Since, 10 mm = 1 cm

Therefore, 1 mm = 0.1 cm

This rule states that Joe can measure a length or distance in nearest tenth of a cm only.

If length of a box = 13.67 cm,

So Joe can measure it as 13.7 cm approximately.

Therefore, Option (3) will be the answer.

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3 years ago

A waiter's weekly salary can be modeled by the equation y = 0.2x + 300, where x is the amount spent by the customers in dollars

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The correct answer is d

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2 years ago

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If a b and c are three different numbers which of the following equations has infinitely many solutions

Dafna1 [17]

Answer:

c. ax+b=ax+b

Step-by-step explanation:

To know what equation has infinite solutions, you first try to simplify the equations:

$ax=bx+c\\\\(a-b)x=c\\\\x=\frac{c}{a-b}$

In this case you have that a must be different of b, but there is no restriction to the value of c, then c can be equal to a or b.

$ax+b=ax+c\\\\b=c$

Here you obtain that b = c. But the statement of the question says that a, b and c are three different numbers.

$ax+b=ax+b\\\\0=0$

In this case you have that whichever values of a, b and are available solutions of the equation. Furthermore, when you obtain 0=0, there are infinite solutions to the equation.

Then, the answer is:

c. ax+b=ax+b

8 0

3 years ago

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. Perpendicular

polet [3.4K]

Answer:

<u>Slope-intercept form</u>: y = -5x - 8

<u>Point-slope form</u>: y - 2 = -5(x + 2)

Step-by-step explanation:

Given the equation, 5y = x - 4, which passes through point (-2, 2):

Transform the given equation into its <u>slope-intercept form</u>, y = mx + b.

In order to do so, divide both sides by 5 to isolate y:

5y = x - 4

$\displaystyle\mathsf{\frac{5y}{5}\:=\:\frac{1x\:-\:4}{5}}$

$\displaystyle\mathsf{y\:=\:\frac{1}{5}x\:-\:\frac{4}{5}}$ ⇒ This is the slope-intercept form of 5y = x - 4.

Next, we must determine the equation of the line that is perpendicular to $\displaystyle\mathsf{y\:=\:\frac{1}{5}x\:-\:\frac{4}{5}}$ .

<h2>Definition of Perpendicular Lines:</h2>

<u>Perpendicular lines</u> have <em>negative reciprocal</em> slopes. This means that if we multiply the slopes of two lines, their product will equal to -1.

In other words, if the slope of the given equation is m₁, and the slope of the other line perpendicular to the given linear equation is m₂, then: m₁ × m₂ = -1.

Slope of the given equation: m₁ = ⅕

$\displaystyle\mathsf{Slope\:of\:other\:line\:(m_2 )\:=\:-5\:or\:-\frac{5}{1}}$

If we multiply these two slopes:

m₁ × m₂ = -1

$\displaystyle\mathsf{m_1\:\times\\\:m_2\:=\:\frac{1}{5}\times\\-\frac{5}{1}\:=\:-1}$

Now that we have identified the slope of the other line that is perpendicular to 5y = x - 4, we must determine the y-intercept of the <u>other line</u>.

The <u>y-intercept</u> is the point on the graph where it crosses the y-axis, for which it is the value of "y" when its corresponding x-coordinate equals to zero (0).
Thus, the standard coordinates of the y-intercept is (0, <em>b</em>), for which its y-coordinate is the value of "<em>b</em>" in the slope-intercept form, y = mx + b.

Using the <u>slope</u> of the other line, m₂ = -5, and the given point, (-2, 2), substitute these values into the slope-intercept form to find the value of the y-intercept, <em>b</em>:

y = mx + b

2 = -5(-2) + b

2 = 10 + b

Subtract 10 from both sides to isolate b:

2 - 10 = 10 - 10 + b

-8 = b

The equation of the other line that is perpendicular to 5y = x - 4 is:

Linear Equation that is perpendicular to 5y = x - 4 in slope-intercept form:

<h2>Rewrite the Equation in Point-slope Form:</h2>

The <u>point-slope form</u> is: y - y₁ = m(x - x₁)

In order to rewrite y = -5x - 8 in its point-slope form, we must substitute the value of the given point, (-2, 2) into the point-slope form:

y - y₁ = m(x - x₁)

y - 2 = -5[x - (-2)]

y - 2 = -5(x + 2) ⇒ This is the <u>point-slope form</u> of the line that is perpendicular to 5y = x - 4.

6 0

3 years ago

Classify the hypothesis test as two-tailed, left-tailed, or right-tailed.

34kurt

Answer:

C: left tailed

Step-by-step explanation:

In two tailed hypothesis, the alternative hypothesis is when mean can either be lesser or greater than the given value. Usually uses the symbol ≠.

In right tailed, the alternative hypothesis is when the mean is greater than the given value.

In left tailed, the alternative hypothesis is when the mean is lesser than the given value.

In this question, the hypothesis test to be performed is to determine if the average amount of time spent watching television per week has decreased from the given value of 21.6 hours.

Thus, it is left tailed test.

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3 years ago