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3 years ago

A number is increased by five and squard

Mathematics

2 answers:

lara [203]3 years ago

5 0

Answer:

5+n including a little 2 in the top right corner of the n!

Hope this helped!!!XD

Also, can I get brainliest?

guajiro [1.7K]3 years ago

3 0

5+n with a small 2 in the top right hand corner of the n

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Substititue 5 for x. Is the solution true?<br> 3x + 4 - x = 4x - 6

Aloiza [94]

Answer:

It's a true solution.

Step-by-step explanation:

$3(5) + 4 - 5 = 4(5) - 6$

$15 + 4 - 5 = 20 - 6$

$19 - 5 = 14$

$14 = 14$

3 0

2 years ago

What simple interest rate is needed for $6,000 to earn $1,000 in 15 months

Mekhanik [1.2K]

let's recall that a year has 12 months, so 15 months is really 15/12 years.

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$1000\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{15}{12}\dotfill &\frac{5}{4} \end{cases}$

$\bf 1000=(6000)r\left( \cfrac{5}{4} \right)\implies 1000=7500r\implies \cfrac{1000}{7500}=r\implies \cfrac{2}{15}=r \\\\\\ \stackrel{\textit{converting that to a percentage}}{\cfrac{2}{15}\cdot 100 = r\implies \cfrac{40}{3}=r}\implies \stackrel{\%~\hfill }{13.\overline{3}}=r$

4 0

3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

Number 10 :Find side X

Rina8888 [55]

Answer:

I think I got it right! I think it's x=4

if not I'm sorry :(

5 0

3 years ago

One-hundred people were surveyed to find if they owned a cat

r-ruslan [8.4K]

Answer:

1. I dont know what format they want you to write it in but its 27/100 which is 0.27 as a decimal and 27% as a percent

2. it'll be 11/100 which is 0.11 as a decimal and 11% as a percent

Step-by-step explanation:

Since adding up all the people with cats, dogs or both is 73, and theres 100 people surveyed, that means 100-73=27 so 27 people dont have a cat or dog. Therefore its 27/100 which is 0.27 as a decimal and 27% as a percent

For number 2, because 11 people have both a dog and cat I believe itll be 11/100 which is 0.11 as a decimal and 11% as a percent

4 0

3 years ago