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Agata [3.3K]
3 years ago
6

nelson used 35% of his savings account for his class trip in May. if he used $140 from his savings account while on his class tr

ip, how much money was in his savings account before the trip?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

He had 189 dollars

Step-by-step explanation:

35% of 140 is 49

140 plus 49 is 189

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Cos(2theta)=11 sin(theta)-5
lubasha [3.4K]
\cos2\theta=11\sin\theta-5
1-2\sin^2\theta=11\sin\theta-5
2\sin^2\theta+11\sin\theta-6=0
(2\sin\theta-1)(\sin\theta+6)=0
\implies\begin{cases}2\sin\theta-1=0\\\sin\theta+6=0\end{cases}

The second equation gives \sin\theta=-6, but -1\le\sin\varphi\le1 for any real \varphi, so we can ignore this equation.

This leaves us with

2\sin\theta-1=0\implies \sin\theta=\dfrac12\implies\theta=\dfrac\pi6+2\pi k,\theta=\dfrac{5\pi}6+2\pi k

where kis any integer.
3 0
3 years ago
The monthly rent for 4 homes in the local college community are $650, $725, $750, and $950. What is the mean of these monthly re
klemol [59]

Answer:

768.75

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
What’s the answer of a multiplying polynomials (3x-1) to the second power and (x+6) to the second power
Vladimir [108]

9x^4+102x^3+253x^2-204x+36 is the result of multiplying (3x-1) to the second power and (x+6) to the second power

<h3><u>Solution:</u></h3>

Given that we have to find the result of multiplying polynomials (3x-1) to the second power and (x+6) to the second power

"Second power" means the term is raised to power of 2

Therefore,

We have to multiply (3x-1)^2 \text{ and }(x+6)^2

\rightarrow (3x-1)^2 \times (x+6)^2

We can use the algebraic identity to expand the above expression

(a+b)^2 = a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2

Applying these in above expression, we get

\rightarrow ((3x)^2-2(3x)(1)+1^2) \times (x^2+2(x)(6)+6^2)\\\\\rightarrow (9x^2-6x+1) \times (x^2+12x+36)

Multiply each term in first bracket with each term in second bracket

\rightarrow 9x^2(x^2)+(9x^2)(12x)+(9x^2)(36)-6x(x^2)-6x(12x)-6x(36) + x^2+12x+36

Simplify the above expression

\rightarrow 9x^4+108x^3+324x^2-6x^3-72x^2-216x+x^2+12x+36

Combine the like terms

\rightarrow 9x^4+102x^3+253x^2-204x+36

Thus the above expression is the result of multiplying (3x-1) to the second power and (x+6) to the second power

4 0
3 years ago
)A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probab
stiv31 [10]

Answer:

40%

Step-by-step explanation:

The probability of the arrow landing on the green section is a 40% chance

This is because there are only 3 sections where one is 50 and the other is 10

To find the green we can create an equation, where x = green section

50 + 10 + x = 100

The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise

60 + x = 100

x = 100 - 60

x = 40

7 0
3 years ago
Find the equation of the plane that passes through the point (4,3,−2)(4,3,−2) and contains the line x(t)=−4−4t,y(t)=−1+3t,z(t)=1
aniked [119]
We Need more info please us at brainly would like you to provide more information so we can answer your question right away thank you have a goodnight.
6 0
3 years ago
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