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3 years ago

Given that 4 x : 3 = 11 : 7 Calculate the value of x .

Mathematics

1 answer:

Airida [17]3 years ago

3 0

Step-by-step explanation:

4x/3=11/7

4x=11×3/7?

4x=33/7

4x=4.7

x=4.7/4

x=1.175

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The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of

hichkok12 [17]

The formula for the value of nth term is $a_{n}$ = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term of the sequence
d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ $a_{n}=a+(n-1)d$

∴ $a_{n}=4+(n-1)3$

- Simplify it

∴ $a_{n}=4+3n-3$

∴ $a_{n}=1+3n$

The formula for the value of nth term is $a_{n}$ = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

7 0

3 years ago

Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

$\theta = 108.29$ (approximated)

4 0

2 years ago

150=2x do the work out please

IrinaVladis [17]

Answer:

Let's solve the expression!

Step-by-step explanation:

$150 = 2x$

$\frac{150}{2}=\frac{2x}{2}$

$75 = x$

Your answer is 75.

The fraction shows 150 ÷ 2 and 2x ÷ 2.

I hope this helps!

<h2>PLEASE MARK BRAINLIEST!</h2>

7 0

3 years ago

Read 2 more answers

Use the polynomial 3x^2−4x^11+4x^4−2x^10−5+^8x^8 to answer the question.

Anit [1.1K]

Answer: 11

Step-by-step explanation:

3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸

To find the degree, look for the largest exponent. 11

If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.

- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5

4 0

3 years ago

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6% of a value is 510

Dennis_Churaev [7]

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

6% * V = 510

Change percent to decimal form

.06V = 510

Divide each side by .06

V = 510/.06

V =8500

6 0

3 years ago

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