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3 years ago

Simplify the following expression: Sqrt (-16) + sqrt(-25+5)

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

(4 + 2√5) i

Step-by-step explanation:

√(-16) + √(-25 + 5)

√(-16) + √(-20)

4i + 2i√5

(4 + 2√5) i

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Consider the functions below. f(x, y, z) = x i − z j + y k r(t) = 4t i + 6t j − t2 k (a) evaluate the line integral c f · dr, wh

fredd [130]

With

$\vec r(t)=4t\,\vec\imath+6t\,\vec\jmath-t^2\,\vec k$

we have

$\mathrm d\vec r=(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

The vector field evaluated over this parameterization is

$\vec f(x,y,z)=\vec f(x(t),y(t),z(t))=4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k$

so the line integral is

$\displaystyle\int_{-1}^1(4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k)\cdot(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

$=\displaystyle\int_{-1}^1(16t+6t^2-12t^2)\,\mathrm dt=-4$

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3 years ago

Solve the following equation. Then place the correct number in the box provided. x/9 = 1

BARSIC [14]

First, we need to isolate the variable x.

To isolate x, we simply need to multiply both sides by 9, which would result in x = 9

3 0

3 years ago

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In a company 70% of the workers are men. If 1590 people work for the company who arent men, how many workers are there in all?

meriva

Answer:

5300

Step-by-step explanation:

1590 people are not men so they are women

$\frac{100 - 70}{100 } = \frac{1590}{x} \\ \\ \frac{3}{10} = \frac{1590}{x} \\ \\ x = 5300 \: totoal \: workers$

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2 years ago

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Somebody please answer these if your good at math and find the slope please ... due inna hour..

saveliy_v [14]

Answer:

See below

Step-by-step explanation:

Find a point on the line where it touches a gridpoint and start from there. Slope is defined as rise/run, so from that point you either go up or down for rise, and left or right for run to find another point closest where the line touches a gridpoint.
A graph with a slope that looks like \ will be negative and a slope that looks like / will be positive

5. 3/2

6. Undefined

7. 7/2

8. 3/6 simplifes to 1/2

9. -1/3

10. -2/3

Please consider marking brainliest :) I can correct mistakes if needed.

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2 years ago

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing

Serjik [45]

Answer:

c) -1.75°

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 0, standard deviation of 1:

This means that $\mu = 0, \sigma = 1$