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2 years ago

Which equation represents:

Mathematics

2 answers:

soldi70 [24.7K]2 years ago

6 0

A, expect the second term (2xy) should be just 2y

andreyandreev [35.5K]2 years ago

5 0

Answer:

Option A is correct

$2x^2+2xy+20 = 0$

Step-by-step explanation:

Let x and y be two unknown integers.

As per the statement:

"An unknown integer, multiplied by two times itself, plus two times a different unknown integer, equals negative 20."

"An unknown integer, multiplied by two times itself" translated to $2x^2$

"Two times a different unknown integers" translated to $2xy$

"negative 20" means -20

then, our equation becomes:

$2x^2+2xy = -20$

Add 20 to both sides we have;

$2x^2+2xy+20 = 0$

Therefore, the equation represents is, $2x^2+2xy+20 = 0$

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A container has the shape of an open right circular cone, as shown. The height of the container is 10 cm and the diameter of the

SVETLANKA909090 [29]

A) Volume = (1/12)pi*h^3, with height = 5cm.

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does that make sense?

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2 years ago

Select the correct answer. A simulated game of chess is programmed between two computers. The game is supposed to be biased in f

pishuonlain [190]

Answer:

C is the most suspicious set.

Step-by-step explanation:

We would expect that B wins 4/5 * 30 = 24 games.

In set A, B wins 23 games.

In B, B wins 24 games.

In C, B wins 15 games.

In D, B wins 25 games.

So result C is very suspicious.

7 0

2 years ago

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Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that

marissa [1.9K]

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error = Measured value – True Value /True value x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

8 0

2 years ago

If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

2 years ago

Bonny's truck has a fuel tank which holds 50 gallons, and she typically drives 425 miles on a full tank. She has added a second

Usimov [2.4K]

Its C because u have to divide 425 by 50 to get the mpg. Then because the truck now has an 80 gallon tank u have to multiply 8.5 with 80

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2 years ago

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