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3 years ago

one eighth of the brass instruments are tubas. if there are 240 instruments in the band, how many are tubas?

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

Just do 240 times 1/8 which is the same thing as 240/8, which is 30

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What is the slope of a line that is perpendicular to a line whose slope is -1/3.

solniwko [45]

Answer:

Step-by-step explanation:

the perpendicular slope is the negative reciprocal.

-1 divided by -1/3 = 3

6 0

3 years ago

Glen is planting square flower gardens surrounding a triangular fishpond as shown. If the sides of the triangular fishpond are 5

weqwewe [10]

Answer:

$h=\sqrt{106} \approx 10.3$ feet

Step-by-step explanation:

We will use the Pythagorean Theorem to solve this. Which states that:

One Length^2 + Another Length^2 = Hypotenuse^2

We can take one length as 5 ft and another length as 9 ft and we call the hypotenuse "h", so we have:

$5^2+9^2=h^2$

Now, let us solve for "h":

$5^2+9^2=h^2\\25 + 81 = h^2\\106=h^2\\h=\sqrt{106} \approx 10.3$

The pond's hypotenuse is about 10.3 feet

3 0

3 years ago

If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0$

The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if a = 1 and b = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

as required.

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3 years ago

How to determine the volume of a cup?

snow_lady [41]

Answer:

1 to 8 in cups or 1 to 16 in table spoons

Step-by-step explanation:

4 0

3 years ago

Which of the expressions below is equivalent to the expression: 42 + 32 – 13 × 2 + 38? a. 42 + 32 – (26 + 38) b. 42 + 32 – 13 ×

Anika [276]

Using PEMDAS, 42 + 32 - 13 * 2 + 38 can be simplified as,

C. 42 + 32 + 12 = 86

You can check this by inserting the given expression (42 + 32 - 13 * 2 + 38) into a calculator, which should also give you the same answer of 86.

5 0

3 years ago