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3 years ago

Find the product of -5x²y⁴ and 3xy³

Mathematics

1 answer:

ycow [4]3 years ago

8 0

Answer: -15x^3y^7

Step-by-step explanation:

-5x^2y^4(3xy^3)

Multiplty the coefficients

Multiply the x terms

and fianally multiply the y terms

-5(3) = -15

x^2 * x = x^3

y^4* y^3 = y^7

= -15x^3y^7

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Part II: Find the sine, cosine, and tangent ratios of <y

Lorico [155]

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

6 0

3 years ago

The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code read

Bond [772]

Answer:

$(a)\ \bar x =20.5$

$(b)\ \sigma = 14.54$

Step-by-step explanation:

Given

$x: 36, 14, 21, 39, 11, 2$

Solving (a): The mean of the 6 samples.

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x =\frac{36+ 14+ 21+ 39+ 11+ 2}{6}$

$\bar x =\frac{123}{6}$

$\bar x =20.5$

Solving (b): The sample standard deviation.

This is calculated using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

So, we have:

$\sigma = \sqrt{\frac{(36 - 20.5)^2 + (14 - 20.5)^2 + (21 - 20.5)^2 + (39 - 20.5)^2 + (11 - 20.5)^2 + (2 - 20.5)^2}{6-1}}$

$\sigma = \sqrt{\frac{1057.5}{5}}$

$\sigma = \sqrt{211.5}$

$\sigma = 14.54$

7 0

3 years ago

Answer this question for me please:)

igor_vitrenko [27]

Answer:

d)20

Step-by-step explanation:

4+4+6+6=20

Hope this helps! Have a great day ahead. Tell me if im wrong :) Stay Safe <3

6 0

3 years ago

Read 2 more answers

Is -8-2(3+2n) +7 equivalent to -30-13n

JulsSmile [24]

Answer:

-8-2(3+2n) +7 = -4n-7

-30-13n=

7 0

3 years ago

The period T of a pendulum in seconds depends on its length L in feet, and is given by the formula T=

Damm [24]

This is a matter of plugging in. Specifically 7 for L.

T = 2πsqrt(7/32)
T = (6.28319...)(0.46771...)
T is about 2.93871 seconds

4 0

3 years ago

Find the product of -5x²y⁴ and 3xy³​

Find the product of -5x²y⁴ and 3xy³