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maria [59]
3 years ago
7

Simplifying Algebraic Expressions ; 7+9(-6+8)

Mathematics
1 answer:
Grace [21]3 years ago
7 0

Start by multiplying the 9 out:

9(-6 + 8y) = -54 + 72y

Then, add the 7:

-54 + 72y + 7

Then simplify the whole thing:

-47 + 72y

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The frequency of the musical note C4 is about 261.63 Hz. What is the frequency of the note a perfect fifth below C4?
kolbaska11 [484]

Answer:

The frequency of the note a perfect fifth below C4 is;

B- 174.42 Hz

Step-by-step explanation:

Here we note that to get the "perfect fifth" of a musical note  we have to play a not that is either 1.5 above or 1.5 below the note to which we reference. Therefore to get the frequency of the note a perfect fifth below C4 which is about 261.63 Hz, we have

1.5 × Frequency of note Y = Frequency of C4

1.5 × Y = 261.63

Therefore, Y = 261.63/1.5 = 174.42 Hz.

6 0
3 years ago
A guy wire is needed to support a tower. The wire is attached from the top of the tower to a place on the ground 5m from the bas
worty [1.4K]
The wire is about 11.18 m long. This can be found using the Pythagorean theorem.
3 0
3 years ago
A) 5√160=
drek231 [11]

Answer:

a) 20\sqrt{35}

b) 7\sqrt{5}

c) 18\sqrt{2}

d) 5\sqrt{2}

e) 36\sqrt{3}

f) 72

g) 10\sqrt{3}

Step-by-step explanation:

8 0
3 years ago
If (x) = x^2 - 3x + 1 what is the value of f(-2)
KIM [24]

Answer:

11

Step-by-step explanation:

f(x) = x^2 - 3x + 1

f(-2) = (-2)^(2)-3(-2)+1

f(-2) = 4 + 6 + 1

f(-2) = 11

Just substiute -2 for x and sove.

8 0
3 years ago
Read 2 more answers
What is the volume of the cylinder below?
Svetlanka [38]

now, let's recall Cavalieri's Principle, "solids with equal altitudes and cross-sectional areas at each height, have the same volume".

so, even though this cylinder is slanted, it has the same cross-sectional area as a cylinder that's straight-up, whose altitude is h = 5, and radius r = 4.


\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} h=5\\ r=4 \end{cases}\implies V=\pi (4)^2(5)\implies V=80\pi

6 0
3 years ago
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