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3 years ago

?????????????????????????????????

Mathematics

1 answer:

Alina [70]3 years ago

6 0

Answer:

B. 11 $\sqrt{2}$

Step-by-step explanation:

Every line with a mark is 11.

so in the image attached you can see that all you need to do is plug in the numbers

x $\sqrt{2}$ → 11 $\sqrt{2}$

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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can

Margarita [4]

Answer: $\frac{140}{3}$ weeks

Step-by-step explanation:

Given

It takes 14 weeks to empty a lake

also it takes 20 weeks for a river to fill the lake

Part of lake empty in 1 week $=\frac{1}{14}$

Part of lake filled in 1 week is $=\frac{1}{20}$

And if both works simultaneously then

$\frac{1}{14}-\frac{1}{20}=\frac{10-7}{140}$

$=\frac{3}{140}$

therefore it takes $\frac{140}{3}$ weeks to fill it

4 0

4 years ago

Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.

faust18 [17]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill$

$\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1$

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3 years ago

2. Connecticut is located between New York and Boston, so baseball fans in the state typically root for

Vanyuwa [196]

Answer:

Whats your question exactly?

Step-by-step explanation:

I don't understand what the question is

5 0

3 years ago

Which phrase best describe the translation from the graphy y=(x+2)² to the graph of y=x²+3

olganol [36]

The graph of the parabola is now vertically translating by 3 units up

3 0

4 years ago

Read 2 more answers

Simplify expression <br> -6-2(3x+8)

KIM [24]

Answer:

-6x-22

Step-by-step explanation:

-6 -2 (3x + 8)

Distribute the 2.

-6 -6x -16

Rewrite the expression.

-6x -6 - 16

Subtract -6 from 16.

The answer is -6x-22

5 0

3 years ago