Given:
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.
Pilot's speed in still air is 315 miles per hour.
To find:
The speed of the wind.
Solution:
Let the speed of wind be x miles per hour.
Speed with wind = 315+x miles per hour
Speed against wind = 315-x miles per hour
We know that,

According to the question,

Divide both sides by 90.

By cross multiplication, we get




Divide both sides by 9.


Therefore, the speed of wind is 35 miles per hour.
Answer: 8000
Step-by-step explanation:
From the question, we are informed that the expression 10³ × 2^w models the population of the bacteria after w weeks.
The number of bacteria that will be present in 3 weeks will then be:
= 10³ × 2^w
= 10³ × 2³
= 1000 × 8
= 8000 bacterias
Answer:
The true statement is <u>Line h has points on planes R, P, and T</u>
Step-by-step explanation:
The rest of the question is the attached figure
According to the graph, we will check which option is true.
a. Line h intersects line f at two points, A and B (<u>Wrong</u>)
<u>Because</u>: h intersects line f at B only.
b. Line h is the intersection of planes R and T (<u>Wrong</u>)
<u>Because</u>: g is the intersection of planes R and T
c. Line h intersects plane P at point C (<u>Wrong</u>)
<u>Because</u>: h intersects plane P at point B
d. Line h has points on planes R, P, and T (<u>True</u>)
<u>Because </u>h has the point B on the plane P, h has the point A on the plane T
and the points of h on the plane R
The histogram which represents the data set with the smallest standard deviation is: C. Squad 3.
<h3>What is a histogram?</h3>
A histogram can be defined as a type of chart that's used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.
Basically, standard deviation is a statistical tool which can be used to determine the measure of spread for the data represented in a histogram, especially based on the frequency of the specified ranges.
In this scenario, the histogram which represents the data set with the smallest standard deviation is Squad 3 because it has the least frequency on the y-axis.
Read more on histogram here: brainly.com/question/21304143
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Answer:(9y-7)(9y+7)
Step-by-step explanation:
81y^2-49
=(9y)^2-(7)^2
=(9y-7)(9y+7)