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borishaifa [10]
3 years ago
7

Kelvin makes a map of his apartment using a coordinate system with yards as the units. The point (-9,8) represents the main entr

ance of the apartment and the point (-5,6) represents the location of the kitchen. Approximately how far apart are the main entrance and the kitchen?
a. 3.5 yards

b. 4.5 yards

c. 12 yards

d. 20 yards
Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

Answer:

4.5

Step-by-step explanation:

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Answer:

y= 0.2(0.05)^x

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3 years ago
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S
gavmur [86]

Answer:

8\:\mathrm{minutes}

Step-by-step explanation:

The volume of a cylinder is given as:

r^2\cdot\pi\cdot h

Since the diameter is 2.2, the radius is \frac{2.2}{2}=1.1.

Therefore, the volume of this cylinder is:

1.1^2\cdot 3.14\cdot 4=15.1976\:\mathrm{ft^3}, using \pi=3.14 as requested in the problem.

Since the tank is emptied at a constant rate of 1.5\:\mathrm{ft^3\:per\:minute}, it will take

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8 0
3 years ago
Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Free_Kalibri [48]

Answer:

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \frac{2}{14}

p = \frac{1}{7}

Therefore, equation will be,

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

5 0
3 years ago
A number t<br> multiplied by −4<br> is at least −25<br> .
Olin [163]
+7 would be the answer i believe
6 0
3 years ago
Read 2 more answers
Order the values from least to greatest |2|, -3, |-5|, -1, 6
Burka [1]

Answer:

-1, -3, 2, 5, 6

Step-by-step explanation:

The numbers in the | | mean that it would be positive. Instead of being |-5|, it would be positive 5.

4 0
2 years ago
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