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3 years ago

The product of five rational numbers is positive. At most, ____

Mathematics

2 answers:

Triss [41]3 years ago

8 0

Answer:

Step-by-step explanation:

two negative numbers multiplied together makes a positive number. so there could not be 1,3, or 5 negative numbers, but there could be 0,2, or 4 negative numbers.

Inga [223]3 years ago

5 0

Answer:

its four

Step-by-step explanation:

got it right on edmentum

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Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

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3 years ago

Here are the test scores for 10 students in Mr. P's class.

lutik1710 [3]

We need mean

$\\ \rm\hookrightarrow Mean=\dfrac{Sum}{n}$

$\\ \rm\hookrightarrow \dfrac{59+94+57+87+75+90+82+57+65+77}{10}$

$\\ \rm\hookrightarrow 74.3\%$

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2 years ago

Based on a kc value of 0.200 and the given data table, what are the equilibrium concentrations of xy, x, and y, respectively?

MariettaO [177]

There is no given data table but based on the question, the reaction is
xy <=> x + y
If we let M as the initial concentration of xy and c as the in the concentration after the dissociation, then we can use the ICE method
xy <=> x + y
I M
C -c c c
-----------------------------
E M-c c c

Solve for c using
Kc = c(c) / (M - c)
And the concentration of the xy, x, and y can then be determined

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3 years ago

Chứng minh mệnh đề sau bằng phương pháp phản chứng:

GalinKa [24]

Answer:

Which language is this ?????

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3 years ago

Mr. Hans wants to give an award to the student with the best jump rope rate. Linda can jump rope 120

Gelneren [198K]

Answer:

c) Mike receives the award for being the best at jumping rope.

Step-by-step explanation:

Here, according to the question

Jumping rate of Linda = 120 times in 4 minute

So, number of jumps Linda does per minute = (120/4) = 30

So, Jumps per minute of Linda is 30.

Jumping rate of Carl = 315 times in 9 minute

So, number of jumps Carl does per minute = (315/9) = 35

So, Jumps per minute of Carl is 35.

Jumping rate of Mike = 252 times in 7 minute

So, number of jumps Mike does per minute = (252/7) = 36

So, Jumps per minute of Linda is 36.

Now if we compare the <u>jumps per minute</u> of Linda , Carl and Mike, weget that Mike has the best rate of 36 jumps per minute.

Hence, Mike receives the award for being the best at jumping rope.

4 0

3 years ago