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3 years ago

Is the product of 18 negative numbers and 20 positive numbers a positive number or negative

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

positive

Step-by-step explanation:

even negatives = positive

whatever positives = positive

positive*positive = positive

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What is the best estimate for the product of 279 and 7

shutvik [7]

Answer:

279 × 7 ≈ 2800

Step-by-step explanation:

if you have to round to the tens place, then both would be rounded up, the 7 to 10 and the 279 to 280. 10 × 280 = 2800

4 0

2 years ago

Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that f

Natalka [10]

Answer:

4% probability that fazio selects a striped jersey both times.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem:

For each jersey, there are 2+5+3 = 10 possible options, two of which are striped.

So twice 2/10

$p = (\frac{2}{10})^{2} = \frac{4}{100}$

4% probability that fazio selects a striped jersey both times.

5 0

2 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

The fraction four fifths is equivalent to what percent

Alika [10]

Answer:

The fraction four-fifths is equivalent to 80%.

6 0

3 years ago

Read 2 more answers

A tennis ball machine can launch 60 tennis balls in 12 minutes.

Leokris [45]

It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.

8 0

2 years ago