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4 years ago

Multiply and simplify. 3xy4z2⋅5x2yx

Mathematics

2 answers:

Olenka [21]4 years ago

4 0

I think the answer is 15x^4y^5z^2

vazorg [7]4 years ago

4 0

Answer:

Step-by-step explanation:

15x2y4z2

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You can do the sss, asa, etc etc thing

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3 years ago

What is the solution of d²–12 = 0?

Mkey [24]

d²-12=0

d²=12

d=√12

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3 years ago

A sample of 100 roller coaters examines the relationship between top speed (response) and max drop (explanatory). Based off of t

vekshin1

Answer:

From the plot it is clear that assumption 1 and 2 are violated. That is, the assumption of equal variance ( homoscedasticity) and there aren't any outliers.

Step-by-step explanation:

Both variables are quantitative and The relationship is linear have not been violated.

6 0

3 years ago

Prove that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

$B =(-2,-1)$

$U = (0,3)$

$G = (3,2)$

$S = (4,-3)$

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For BU

$B =(-2,-1)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3 - -1}{0- -2}$

$m = \frac{4}{2}$

$m = 2$

For GS

$G = (3,2)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3-2}{4-3}$

$m = \frac{-5}{1}$

$m = -5$

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

$B =(-2,-1)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3 - -1}{4- -2}$

$m = \frac{-2}{6}$

$m = -\frac{1}{3}$

For GU

$G = (3,2)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3-2}{0-3}$

$m = \frac{1}{-3}$

$m = -\frac{1}{3}$

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

8 0

3 years ago

10. A rectangular tank has length 4 m, width

Ksju [112]

Answer:

112m³

Step-by-step explanation:

VOLUME=L × W × H

= 4m × 12m × 3.5m

= 168m³

THE TANK IS FILLED TO 2/3 OF IT'S CAPACITY

= 2/3 × 168

= 112m³.

5 0

3 years ago