Forty out of 50 people surveyed in a small towns' coffee shop are
planning on voting in the next election. If there are 400 people in the
town, how many people do you predict will vote in the next election? *

Answer:

7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

9) [tex]5log_4(7) - 5log_4(12)[/tex]

11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]

Step-by-step explanation:

[tex]log_3 (\frac{x}{y})^{4}[/tex]

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Use Logarithm of a Quotient which states

[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]

And also use Logarithm of a Power which states

[tex]log_b\ M^{n} = n\log_bM[/tex]

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So using these two properties,

7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]

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For #9, use the same logarithm propertied

[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]

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#11 is also the same concept

[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]

It is not  - 5 log5(y) since only x is to the power of 5 not y

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Hope this is what you were looking for and helps you! Have a nice day/night :)

Answer:

[tex]\text{D. The terms may be combined.}[/tex]

Step-by-step explanation:

Recall that [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]. Using this, we can simplify and combine the two terms:

[tex]6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}[/tex]. Therefore, the terms may be combined.

Answer:

x = 11

y = 1

Step-by-step explanation:

N : M

8 : 1

8 N = 1 M

since there is 1 M per every 8 N, y would be 1

to find x, just take 88 and divide it by 8 to get 11

Answer:

C, D, A

Step-by-step explanation:

Distributive property

Combining like terms

Communitive property

Answer:

Answer is D

Step-by-step explanation:

Answer:

No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?

Answer:

(The second option) sin40° = w / 28

Step-by-step explanation:

sin40° = opposite / hypotenuse

sin40° = w / 28

Answer:

so what exactly is the question? it's not complete yet, I guess..what do you want me to find?

Answer:

f(x)=9x-7

when x=-1

f(-1)=9×-1-7=-9-7=-16

when x=0

f(0)=9×0-7=-7

other are similar to this

Answer:

Non-linear

Step-by-step explanation:

Not consistently increasing

Answer:

a) 3m + m

b) 2m + 2m

Answer:

Step-by-step explanation:

a) 3m + m

b) 2m + 2m

Answer:

:)

Step-by-step explanation:

A) 4,4

B) 2,2

C) 4,3

Hope this helps

Answer:

90°> =Acute

90°< =Obtuse

(90°= )= Right

Answer:

[tex] 2(x - 5)\leqslant \\23[/tex]

Step-by-step explanation:

or

[tex]2x - 10 \leqslant 23[/tex]

Answer:

Slope = 5/3

Step-by-step explanation:

5x - 3y = 9

Write in slope y-intercept form: y = mx +b

-3y = -5x + 9

Divide the whole equation by (-3)

[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]

Slope =5/3

Answer:

24-8x

Step-by-step explanation:

Answer:jghgghfgfhgfhghfj

Step-by-step explanation:

Answer:

Cows produce milk per day = 330 gallons

Step-by-step explanation:

Given - Milan raises dairy cow he has 165 cows. Each cow produced

             2 gallons of milk every day.

To find - How many gallons did the cows produce per day ?

              Show solution using grid method.

Proof -

Given that,

Total cows Milan raises = 165

Now,

Given,

1 cow produce milk = 2 gallon

⇒ 165 cows produce milk = 165 × 2 gallons

Now,

By using grid method , we have

165 × 2

X                       100                        60                         5

2                        200                       120                        10

⇒ 165 × 2 = 200 + 120 + 10 = 330 gallons

∴ we get

Cows produce milk per day = 330 gallons

Answer:

29.3

Step-by-step explanation:

to find average you find the sum of all the minutes she practiced and divide it by the total amount of day she practiced.

first we have to find the sum of the minutes she practiced:

20+30+40+38+25+22+39+22+26+31

this equation is equal to 293 minutes she practiced in total. Now we have to divide this by the total amount of days she practiced whice according to the data is 10! So:

293/10 =29.3

Answer:

1169 in^2 Approx

Step-by-step explanation:

Given data

We know that the shape of the pencil is cylindrical

Hence the dimension is

Diameter= 12in

Radius= 12/2= 6in

Height= 25in

The surface area of a cylinder is given as

T.S.A.=2πrh+2πr^2

Substitute

T.S.A.=2*3.142*6*25+2*3.142*6^2

T.S.A.=942.6+226.224

T.S.A=1168.824

Hence the area is 1169 in^2 Approx

9514 1404 393

Answer:

  8

Step-by-step explanation:

F(-8) is found by locating x = -8 on the x-axis, then determining the y-coordinate the graph has at that point.

  f(-8) = 8

Answer:

5+5=10 :D

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

Answer:

[tex] - \frac{1}{2} [/tex]

its down 1 over 2 each time

Answer:

41 mph

Step-by-step explanation:

122 = 3r

r = 40 2/3 mph

Answer:

x = 30

2x = 60

Step-by-step explanation:

2x + x = 90

3x = 90

x = 30

2(30) = 60

Step-by-step explanation:

x + 3 = 0

x = - 3

f(x) = 2x³ - 4x² - 28x + 6

f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6

= 2 x (- 27) - (4 x 9) + 84 + 6

= - 54 - 36 + 90

= - 90 + 90

= 0

Therefore,

x + 3 is factor of 2x³ - 4x² - 28x + 6

Answer:

Step-by-step explanation:

Area = (2x+5)( 3x+12) square units

= 6x² + 39x + 60 square units

Trinomial