log2(y)=3log3(u)
log5(y)=2log(u) + 3log5(v)
Write y in terms of u and v

Answer:

No Mason is not correct you would use fractions and find a common denominator such as 12 and 2/3 would be 8/12 and 3/4 would be 9/12 therefore the two ratios are not equivelent

No, the statement is not correct.

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

The example given here is not relevant.

This is because if 2:3 is added by 1/1

gives 3/4 or 3:4

but  3:4 cannot be more simplified.

So, let us make the equivalent denominator for both

2/3*4*4= 8/12

3/4*3/3=9/12

So, 2:3 ≠3:4

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Answer:

1) Perfect square, 2) Perfect square, 3) Not a perfect square, 4) Perfect square, 5) Perfect square, 6) Not a perfect square, 7) Perfect square, 8) Not a perfect square, 9) Not a perfect square, 10) Not a perfect square.

Step-by-step explanation:

From Algebra we must remember that a trinomial is a perfect square if and only if:

[tex](a+b)^{2} = a^{2}+2\cdot a\cdot b + b^{2}[/tex], [tex]\forall \,a,b\in\mathbb{R}[/tex] (Eq. 1)

Now we proceed to prove each trinomial:

1) [tex]a^{2}+2\cdot a +1[/tex]:

If [tex]a^2 =a^2[/tex] and [tex]b^{2} = 1[/tex], then [tex]a = \pm a[/tex] and [tex]b =\pm 1[/tex]. Therefore, [tex]2\cdot a\cdot b = 2\cdot (\pm a)\cdot (\pm 1) = \pm 2\cdot a[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.

2) [tex]4+4\cdot a +a^{2}[/tex]

If [tex]a^{2} = 4[/tex] and [tex]b^{2} = a^{2}[/tex], then [tex]a = \pm 2[/tex] and [tex]b = \pm a[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 2)\cdot (\pm a) = \pm 4\cdot a[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.

3) [tex]a^{2}-3\cdot a +9[/tex]

If [tex]a^{2} = a^{2}[/tex] and [tex]b^{2} = 9[/tex], then [tex]a = \pm a[/tex] and [tex]b = \pm 3[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm a)\cdot (\pm 3) = \pm 6\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.

4) [tex]4\cdot a^{2}+24\cdot a + 36[/tex]

If [tex]a^{2} = 4\cdot a^{2}[/tex] and [tex]b^{2} = 36[/tex], then [tex]a = \pm 2\cdot a[/tex] and [tex]b = \pm 6[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 2\cdot a)\cdot (\pm 6) = 24\cdot a[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.

5) [tex]a^{4}-10\cdot a +25[/tex]

If [tex]a^{2} = a^{4}[/tex] and [tex]b^{2} = 25[/tex], then [tex]a = \pm a^{2}[/tex] and [tex]b = \pm 5[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm a^{2})\cdot (\pm 5) = \pm 10\cdot a^{2}[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.

6) [tex]25\cdot a^{2}+20\cdot a + 9[/tex]

If [tex]a^{2} = 25\cdot a^{2}[/tex] and [tex]b = 9[/tex], then [tex]a = \pm 5\cdot a[/tex] and [tex]b = \pm 3[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 5\cdot a)\cdot (\pm 3) = \pm 30\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.

7) [tex]a^{2}\cdot b^{2}-14\cdot a \cdot b + 49[/tex]

If [tex]a^{2} = a^{2}\cdot b^{2}[/tex] and [tex]b^{2} = 49[/tex], then [tex]a = \pm a\cdot b[/tex] and [tex]b = \pm 7[/tex]. Therefore, [tex]2\cdot a\cdot b = 2\cdot (\pm a\cdot b)\cdot (\pm 7) = \pm 14\cdot a \cdot b[/tex]. In a nutshell, we conclude that this polynomial is a perfect square.

8) [tex]a^{2}-2\cdot a -1[/tex]

If [tex]a^{2} = a^{2}[/tex] and [tex]b^{2} = -1[/tex], then [tex]a = \pm a[/tex] and [tex]b = \pm i[/tex]. Therefore, [tex]2\cdot a \cdot b = \pm 2\cdot a \cdot i[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.

9) [tex]16\cdot a^{2} + 24\cdot a +36[/tex]

If [tex]a^{2} = 16\cdot a^{2}[/tex] and [tex]b^{2} = \pm 36[/tex], then [tex]a = \pm 4\cdot a[/tex] and [tex]b = \pm 6[/tex]. Therefore, [tex]2\cdot a \cdot b = 2\cdot (\pm 4\cdot a)\cdot (\pm 6) = \pm 48\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.

10) [tex]10+6\cdot a +a^{2}[/tex]

If [tex]a^{2} = 10[/tex] and [tex]b^{2} = a^{2}[/tex], then [tex]a = \pm\sqrt{10}[/tex] and [tex]b = \pm a[/tex]. Therefore, [tex]2\cdot a \cdot b = \pm 2\cdot \sqrt{10}\cdot a[/tex]. In a nutshell, we conclude that this polynomial is not a perfect square.

Answer:

p=41

x=85

f=36

Step-by-step explanation:

All triangles equal 180 degrees, if you have two of the angles in a triangle then all you need to do is add them up, and find the difference between the sum and 180

For example:

Triangle 2 has one angle that's 54 degrees and the other is 85 degrees

54+85=139

180-139=41

therefore angle p equals 41 degrees.

Answer:

The store earned $1173.75 in the 4 weeks

Step-by-step explanation:

To calculate the amount earned by the school in the 4 weeks, we are going to add all what had been earned in the previous weeks;

Mathematically that would be;

$625.32 + $98.36 + $145.98 + $304.09 = $1,173.75

Answer:

B

Step-by-step explanation:

Hhhhhhhhhccjcjckvjvjvkvkv

Answer:

that would be 4/13

Step-by-step explanation:

i think

Answer:

i would say 2/10

Step-by-step explanation:

i would add if it was different miles cause how long can mean add nor subtract so thats why i said 2/10

i think im dumb right now :( im just giving my best explaintion:(!

Answer:

1/7

Step-by-step explanation:

Answer:

W=5 w=8

Step-by-step explanation:

Answer:

x=20. You can use the app Photomath to help you with math equations.

Step-by-step explanation:

Answer:

3: cz

Step-by-step explanation:

Answer:

1.) Polynomials are added or subtracted by changing the signs (when needed) and adding/subtracting like terms

2.)161

3.)cz

Step-by-step explanation:

2.) 81^2-80^2

  (81+80)(81-80)

    161x1

      161

3.)ab/c + xy/z = abxy/cz thus, the common denominator is cz

Hope this helps, hope your call goes well :)

Answer:

106

Step-by-step explanation:

If you find the sum of the interior angles, you can determine the supplement to z.

Then all you have to do to get z is to subtract it from 180.

Method

The supplement of 72 is 180 -  72 = 108

The supplement of 51  is 180 - 51 =   129

The supplement of 60 is 180 - 60 = 120

The supplement of 71  is 180 - 71 =   109

Let y = the supplement of z

y + 108 + 129  + 120 + 109 = 540

y + 466 = 540

y = 540 - 466

y = 74

z + y = 180

z + 74 = 180

z = 180 - 74

z = 106

I hope that get's rid of your headache.

Answer:

hey queen

Step-by-step explanation:

Answer:

hey sisters!!!!!!

Step-by-step explanation:

Answer:

shes so wrong

Step-by-step explanation:

6+14=20+19=39+11=50

100/50=2

6x2=12

12%

Answer:

The answer is 1.5

Step-by-step explanation:

Answer:

The scale factor is = 1.5

Step-by-step explanation:

Trust me bro

Answer:

45%

Step-by-step explanation:

Divide 9 by 20 and then multiple by 100 because a percent is out of 100

Answer:

m:number that is multiplied on x  b:the y-intercept

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

In the equation y = mx + b, m represents slope and b represents y intercept.

In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:

"m" represents the slope of the line. It determines the steepness or inclination of the line.

The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).

"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.

The y-intercept is the point where the line intersects the y-axis.

m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.

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Answer:

i. Yes, Nevan won.

ii. Nevan scored 7464 points.

Step-by-step explanation:

Given: each correct answer = 134 points

           each incorrect answer = -14 points

Since he got 58 questions correctly, then;

His number of points = 134 x 58

                                   = 7772 points

Also, he got 22 incorrect questions, then;

His number of points = -14 x 22

                                   = -308

Nevan's total points = 7772 + (-308)

                                 = 7772 - 308

                                 = 7464

Nevan scored 7464 points.

Nevan won, and also had a total of 7464 points.

Answer:

yes nevan won

Step-by-step explanation:

A)

9*13+6*2=129

117+12=129

13 adults went to the movies

B)

1550/5=310

runner A ran four times as much as runner b

given the above, runner A ran 4*310 and B ran 310, since 1550/5=310

4*310=1240

The player with the most yards (runner A) ran 1240 yards

Answer:

The height of the building is 16.42 ft

Step-by-step explanation:

Given;

length of the ladder, = 17 ft

angle  between the ground and the ladder, θ = 75°

Construct this triangle, the ladder forms the hypotenuse side of the right angle triangle, the height of the triangle is the opposite side of the triangle while the base of the triangle is the adjacent side of the triangle.

Apply the following trig-ratio to determine the height of the triangle;

[tex]sin \theta = \frac{opp}{hypo}\\\\ sin (75^0) = \frac{h}{17}\\\\h = 17sin (75^0) \\\\h = 16.42 \ ft[/tex]

Therefore, the height of the building is 16.42 ft

Answer:

[tex]d = 13[/tex]

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

P1 (-3, -2)

P2 (9, 3)

Step 2: Find distance d

Answer:

m< s = 43

Step-by-step explanation:

77 + 2x + 3 = 6x (collect like terms)

80 + 2x = 6x (subtract 2x on both sides)

80 = 4x (divide both sides by 4)

20 = x

PLUG IN TO M<S

2(20) + 3

40 + 3

m<s = 43

Hope this helps ya! Keep smiling!

Answer:

x=13 /6

Step-by-step explanation:

Answer:

36a2 - b2

Step-by-step explanation:

( 6a + b)( 6a - b)

36a2 - b2

6^2 a2 - b^2

x2 y2 = (xy)2

(6a)2 - b^2

(6a + b)(6a - b)

Hope that helps :)

Answer:

-2 (k+3) > -2k -7 --> -2k-6 > -2k-7

                                +2k       +2k

                                      -6 > -7 = No Solution

Step-by-step explanation:

Answer:

y-4= -2 x (x+2)

Step-by-step explanation:

y- y1 = m(x-x1)

Step-by-step explanation:

because $220 is greater than the amount of ...

Answer:

(c) 31.2-60

Step-by-step explanation:

Given that

60 – 31.2 + ? = 0

[tex]\Rightarrow ?=31.2-60[/tex]

This is the same as the expression in option (c) 31.2-60.

Hence, option (c) is correct.