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2 years ago

Expand each expression In 4y5/x2

Mathematics

2 answers:

exis [7]2 years ago

4 0

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

nordsb [41]2 years ago

3 0

Answer:

$\ln 4 -2 \ln x +5 \ln y$

Step-by-step explanation:

$\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y$

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Mademuasel [1]

Answer:

2x³ + 11x² + 8x - 16

Step-by-step explanation:

Multiply:

(x + 4) (2x² +3x - 4)

2x³ + 3x² - 4x + 8x² + 12x - 16

Combine like terms:

2x³ + 11x² + 8x - 16

4 0

3 years ago

Please explain 22 and 23

ICE Princess25 [194]

Hey there!

$\bold{Mean\rightarrow your \ average}$
$\bold{The\ word \ 'average' \ means \rightarrow}$ $\bold{is \ where \ you \ add \ up \ your \ particular \ numbers \ \& you}$ $\bold{divde \ your \ result \ by \ the \ number!}$

$\bold{22.\downarrow}$

If we're rounding the answer then: $\boxed{\bold{answer:90}}$ $\checkmark$

$\bold{23.\downarrow}$

Another name for the word is "range" so, $\boxed{\bold{answer:11}}$ $\checkmark$

Good luck on your assignment and enjoy your day!

~ $\frak{LoveYourselfFirst:)}$

5 0

3 years ago

8 people eat at Charlie Brown's for Thanksgiving. How many different seating

never [62]

Answer: 40,320

Step-by-step explanation: Let's say that there is person A,B,C,D,E,F,G,H. and 8 chairs. For the first chair, 8 different people could potentially sit in it, making 8 different possibilities. No matter who sits there, the logic follows the next table. However, since one person is sitting in the first chair, there are 7 different possibilities about who would be sitting in the second chair. If you multiply the two together, there are 56 different possibilities just for the first and second chair. For the third chair, there are 6 different possibilities about whom could sit. Multiply 56*6 and you get 336 possibilities. Keep multiplying out and you get a grand total of 40,320 different arrangements!

4 0

3 years ago

Read 2 more answers

Given that sin theta = 1/4, 0→theta→π/2, what<br>. what is the exact value of cos 8?

natali 33 [55]

<h3>Answer: Choice B $\frac{\sqrt{15}}{4}$ </h3>

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Work Shown:

Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.

Square both sides of the given equation

$\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}$

Then use the pythagorean trig identity to get

$\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\$

3 0

3 years ago

Calculate the lower quartile of the data set for the blood glucose levels of 10 individuals whose blood glucose readings were as

Vsevolod [243]

Answer:

The correct answer is 101.

Step-by-step explanation:

Lower quartile is defined as the mid value of the first half of the data set when the data set is arranged in ascending order. Lower quartile in other words separates the lowest 25% from the highest 75% of the data.

The lower quartile of the data set for the blood glucose levels of 10 individuals is given by the mid value of the first five terms 88, 97, 101, 104 and 104.

Thus the mid value of this first half $\frac{5+1}{2} th$ term is 101. Thus the lower quartile of the data set is 101.

4 0

2 years ago