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3 years ago

Graph the function f(t) = e^0.4t.

Mathematics

1 answer:

mariarad [96]3 years ago

6 0

Answer:

Step-by-step explanation:

Hope this helps! May I please have brainliest? :)

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Find the third side in simplest radical form:

Leokris [45]

Answer:

a^2 + b^2 = c^2 (pythagorean theorem)

a^2 + 40^2 = 41^2 (plug in the known values)

a^2 + 1,600 = 1681 (simplify what you can)

a^2 = 81 (subtracted 1600 from both sides)

a= (81 under a radical) (I think this is what your answer will be, based on the problem)

a=9 (what the fully simplified answer is)

7 0

3 years ago

Write an expression for the area of a triangle with a height of 2x^2 units and a base of 5x^2+4x units

Stolb23 [73]

Answer:

The area of the triangle is $5x^4 + 4x^3$ square units

Step-by-step explanation:

Given

Shape: Triangle

$Height = 2x^2$

$Base = 5x^2+4x$

Required

The area of the triangle

The area of a triangle is calculated as thus;

$Area = \frac{1}{2}(base)(height)$

By substituting $Height = 2x^2$ and $Base = 5x^2+4x$ ; This gives

$Area = \frac{1}{2}(5x^2 + 4x)(2x^2)$

$Area = \frac{(5x^2 + 4x)(2x^2)}{2}$

$Area = (5x^2 + 4x)(x^2)$

Open Bracket

$Area = 5x^2 * x^2 + 4x * x^2$

$Area = 5x^4 + 4x^3$

Hence, the area of the triangle is $5x^4 + 4x^3$ square units

3 0

3 years ago

Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0

AnnyKZ [126]

we have

$x^{2}+2x + 1 > 0$

we know that

$x^{2}+2x+1=(x+1)^{2}$

$(x+1)^{2}> 0$

two solutions

<u>first solution </u>

$(x+1)> 0$

$x > -1$

the first solution is the interval---------> (-1,∞)

<u>second solution</u>

$-(x+1)> 0$

$-x-1> 0$

$-x> 1$

$x< -1$

the second solution is the interval---------> (-∞,-1)

therefore

the solution is all real numbers except the number $-1$

the answer in the attached figure

8 0

3 years ago

Read 2 more answers

a radio commercial for a loan company states: "you only pay for each $500 borrowed." If you borrow $1959 for 251 days, what amou

Natasha2012 [34]

Well... hmmm so.. for 500 bucks you only pay a rate of say "r", and it comes down to only 28cents, or $0.28.

If 500 is say the 100%, what percentage is 0.28?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
500&100\\
0.28&p
\end{array}\implies \cfrac{500}{0.28}=\cfrac{100}{p}\implies p=\cfrac{0.28\cdot 100}{500}
\\\\\\
p=0.056\%\implies p=\cfrac{56}{1000}\%$

now, we're assuming the company is charging and APR, so you pay that at the end of the year. We're also assuming the year is only 360 days.

so, if you borrow 1959 on simple interest for 251 days out of 360 days, how much are you repaying?

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$1959\\
r=rate\to 0.056\%\to \frac{0.056}{100}\to &0.00056\\
t=years\to &\frac{251}{360} 
\end{cases}
\\\\\\
A=1959\left(1+0.00056\cdot \frac{251}{360} \right)$

and surely you can do that one... which is just 1959 and a few pennies.

8 0

3 years ago

What is the solution to 34x + 95 = 3(14x + 9)?

Nikolay [14]

Answer:

kkj hjnllnkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkjnnj

Step-by-step explanation:

kjknjnkkkkkkllllllllllllllllllllllllll jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjllllllllllllllllllllnnnnnnjhbtttttttttdf5rrrrrrrrrrrrrr666666666666688fffffrxcd

4 0

3 years ago