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2 years ago

Find the missing side of the triangle. 14 mi 11 mi x

Mathematics

1 answer:

DanielleElmas [232]2 years ago

7 0

Answer:

$5\sqrt{3}$

Step-by-step explanation:

$a^{2} +b^2=c^2\\11^2+x^2=14^2$

121+x^2=196

x^2=75

x= $\sqrt{75} \\5\sqrt{3} \\or 8.66$

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Total cost to stay one night at sleepyhead Motel is $119 without breakfast and $142 with breakfast included what is the differen

BartSMP [9]

<h2>Answer:</h2>

The difference in the cost for a one-night stay with and without breakfast is:

$ 23

<h2>Step-by-step explanation:</h2>

Total cost to stay one night at sleepyhead Motel without breakfast is: $119.

and cost to stay one night at sleepyhead Motel with breakfast is: $142.

Hence, the difference in the cost for a one-night stay with and without breakfast is calculated by:

$ (142-119)

= $ 23

Hence, the answer is: $ 23

4 0

3 years ago

The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb

KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

$N(x)= -x^3+45x^2+1000$

where x is the number of inches of rainfall.

$N(x)= -x^3+45x^2+1000$

Differentiating with respect to x

$N'(x)= -3x^2+90x$

Again differentiating with respect to x

$N''(x)=-6x+90$

Now we set N'(x)=0

$-3x^2+90x=0$

$\Rightarrow -3x(x-30)=0$

$\Rightarrow x=0,30$

$N''(0)=-6.0+90=90>0$

$N''(30)=-6.30+90=-90$

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0

2 years ago

I need help ASAP?!!!!!!

Elodia [21]

Answer:

x = 2

Step-by-step explanation:

5x - 6 = 4

add 6 to each side

5x = 10

divide each side by 5

x = 2

3 0

2 years ago

Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?

vitfil [10]

Answer:

Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

$f(x)=9-4x^2$

If $f(-x)=f(x)$ , then $f(x)$ is an even function.

If $f(-x)=-f(x)$ , then $f(x)$ is an odd function.

Now, substitute x=-x in the given function.

$f(-x)=9-4(-x)^2$

$f(-x)=9-4(x)^2$

$f(-x)=f(x)$

So, the given function not an odd function. It means it is an even function.

To check whether the given function is odd, we have to determine whether $9-4(-x)^2$ is equivalent to $-(9-4(x)^2)$ .

Therefore, the correct option is C.

6 0

3 years ago

Hakim deposited $50 in a saving account earning 10% interest, compounded annually . To the nearest cent , how much interest will

Paraphin [41]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$50\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf A=50\left(1+\frac{0.10}{1}\right)^{1\cdot 2}\implies A=50(1.1)^2\implies A=60.5 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{earned interest}}{60.5 - 50\implies 10.5}~\hfill$

7 0

3 years ago

Read 2 more answers