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1 year ago

Write the number below (81) as a power with a base of 3 and a base of 9

Mathematics

1 answer:

likoan [24]1 year ago

5 0

Answer:

base of 3 --> 3^4 (three to the fourth); base of 9 --> 9^2 (nine squared)

Step-by-step explanation:

3 x 3 = 9 x 3 = 27 x 3 = 81 = 3^4

You multiply 3 by itself 4 times.

9 x 9 = 81 = 9^2

You multiply 9 by itself 2 times.

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HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!

ki77a [65]

Answer

B

Explanation

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

Hence the statement or equation 2x^2+3x-2 is a quadratic equation

7 0

3 years ago

Find the measure of one interior angle for the following regular polygon

shusha [124]

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

4 0

3 years ago

I need this answer fast! Please!

vovangra [49]

Answer:

$\large\boxed{\begin{array}{c|c|c|c}Length:&4cm&2cm&8cm\\Width:&6cm&12cm&3cm\\Height:&9cm&9cm&9cm\end{array}}$

Step-by-step explanation:

The formula of a volume of a cube with side length a:

$V=a^3$

We have a = 6cm. Substitute:

$V=6^3=216\ cm^3$

$\begin{array}{c|c}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}$

$216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2)\cdot(2\cdot3)\cdot(3\cdot3)=4\cdot6\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=2\cdot(2\cdot2\cdot3)\cdot(3\cdot3)=2\cdot12\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2\cdot2)\cdot3\cdot(3\cdot3)=8\cdot3\cdot9\\\vdots$

7 0

3 years ago

2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be

kow [346]

Let's let

x = the number of chef salads, x>=0

y = the number of Caesar salads, y>=0

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35), (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

F (60, 40) = 0.75*60 + 1.20*40 = $93

F (50, 50) = 0.75*50 + 1.20*50 = $97.50

F (40, 50) = 0.75*40 + 1.20*50 = $90

Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.

8 0

3 years ago

1) Write 4 ratios, using the scaling down method, that are equivalent to 48 to 60

kow [346]

Answer:

96 to 120

24 to 30

12 to 15

6 to 7.5

6 0

2 years ago