If X1 = 440, Y1 = 220, and X2 = 360, what’s the value of Y2

The Great Lakes differ in both their areas (measured in square miles) and their depths. However these two dimensions do not keep

Masteriza [31]

Answer:

The order of Great Lakes according to depth is (descending order): 1. Lake Superior 2. Lake Michigan 3. Lake Ontario 4. Lake Huron 5. Lake Erie

Step-by-step explanation:

Lake Superior is by far the largest and deepest of the great Lakes. Lake Michigan is exceeded in depth only by Lake Superior, but it is exceeded in area by both Lakes Superior and Huron. Lake Ontario, which is the smallest in area, is deeper than both Lakes Huron and Erie. Lake Erie is larger than Lake Ontario but it is not only shallower than Huron; it is also shallower than Ontario. So, the order of Great Lakes according to depth is (descending order): 1. Lake Superior 2. Lake Michigan 3. Lake Ontario 4. Lake Huron 5. Lake Erie

3 0

2 years ago

A video game sets the points needed to reach the next level based on the function g(x) = 8(2)x + 1, where x is the current level

Liula [17]

For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
g(x) = 8(2)(x) + 1
We substitute the x of the function with 5 since we are in level 5.
g(5) = 8(2)(5) + 1 = 81

Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
h(x) = 3(81) = 243

Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.

7 0

2 years ago

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach

frozen [14]

Write and solve an equation of ratios:

900 students 45 teachers
------------------ = -----------------
x 110 teachers

Cross multiplying, we get (900)(110) / 45, or

so x = # of students in the high school = 2200 (answer)

8 0

2 years ago

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After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height

andrey2020 [161]

Answer:

Part 1) Descending Rate = -2,000 ft/min

Part 2) Starting altitude value is 33,000 ft

Part 3) The linear equation for the plane's altitude (y) as a function of time (x) is: $y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft$

Part 4) The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent

Step-by-step explanation:

Part 1)

The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):

$Descending\,\,Rate\,= \frac{17000-33000}{8} \,\,\frac{ft}{min}=\frac{-16000}{8} \,\,\frac{ft}{min}=-\,2000\,\,\frac{ft}{min}$

Part 2)

When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft

Part 3)

We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b

by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:

$y=m\,x\,+\,b\\y=-2000\,\frac{ft}{min} \,x\,+\,b\\33000=-2000\,\frac{ft}{min} \,(0)\,+\,b\\33000=b$

with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:

$y=-2000\,\frac{ft}{min} \,x\,+\,33000\,ft$

Part 4)

The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.

5 0

2 years ago

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian

aev [14]

Answer: The answer is 11 (A)

Step-by-step explanation:

3 0

2 years ago

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