Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log 3
B. log(2) + log
log(3)
C. log(3)
D. log 2

Step-by-step explanation:

y = 30

120y = 120×30 = 3600

√3600 = 60

The value of y is 60 which makes 120y a perfect square.

A perfect square is a number that represents the square of a natural number.

For example 9,16,36,64,121 etc

Here given that we have to calculate the value of y for which 120y will be a perfect square.

so 120y = n² where n is the natural number

For calculating the value of y first factorize 120

120= 2*2*2*3*5

= 2² * 2*3*5

=4 *30

from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.

So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.

Therefore the value of y is 30 for which 120*30=n² where n=60.

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Answer:

Its C, trust me I'm an almost 20 year old still in high school. Failed Junior year twice. :)

Step-by-step explanation:

EDGE 2019

Answer:

Step-by-step explanation:

The solid, blue line is the graph of a function. The dotted, blue line is not a function.

Answer:

20 days

Step-by-step explanation:

10 to get to 4 needs to be divided by 2.5 so we do the opposite to the other side since with fewer people it would take longer. (2.5 times longer).

10/2.5 = 4

8x2.5 = 20 days

Answer: 9 yards

Step-by-step explanation:

Given

The maple tree is 16 yards tall and its shadow is 12 yards tall

Suppose the angle made by the maple tree is x

[tex]\Rightarrow \cos x=\dfrac{12}{16}[/tex]

For the tower also, the angle made by the tower and its shadow is x

Suppose the length of the shadow is y

[tex]\Rightarrow \cos x=\dfrac{y}{12}[/tex]

Substitute the value of [tex]\cos x[/tex]

[tex]\Rightarrow \dfrac{y}{12}=\dfrac{12}{16}\\\\\Rightarrow y=9\ \text{yards}[/tex]

Answer:

x^2 -7x + 12

Step-by-step explanation:

(x-3) (x-4)

Expand

x^2 -3x - 4x + 12

Simplify

x^2 -7x + 12

Hope that helps!

Answer:

x²-7x+12

Step-by-step explanation:

When doing these types of problems, you have to multiply each term with each other.

Lets take a look at this.

We have to multiply each term with each other, so x times x =x²

x times -3=-3x

x times -4=-4x

-3 times -4=12

now we add them all up to get

x²-7x+12

Answer:

2x^4

-x^3 + 3x^2 + 2x + 4

5x^2 + 5x + 5

-3x + 10

22

Step-by-step explanation:

find the highest exponent of each polynomials:

22=> 0 degree

-3x(equals to -3x^1) + 10=> 1st degree

5x^2 + 5x + 5=> 2nd degree

-x^3 + 3x^2 + 2x + 4=> 3rd degree

2x^4=> 4th degree

Answer:

quadrant 2

Step-by-step explanation:

quadrant 1 = +,+

quadrant 2=-,+

quadrant 3= -,-

quadrant 4: +,-

Answer:

It should be B:)

Step-by-step explanation:

Answer:

because

Step-by-step explanation:

when you make 16-2 it equals= 14

Answer:

10

Step-by-step explanation:

We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.

The formula for Pythagoras Theorem =

c² = a² + b²

c = √a² + b²

Where c is the longest side

From the above diagram, we are looking for c

c = ?

a = 6

b = 8

Hence,

c = √6² + 8²

c = √36 + 64

c = √100

c = 10

Therefore, side c = 10

Answer:

3/2 pi + 12

Step-by-step explanation:

In this figure, we have 4 sides and one curve. The total length of the four sides is 3 x 4 = 12. To find out the length of the curve, we need to find the angle of the top figure. Since it is next to a square, that means the angle that is farthest from the curve is 90 degrees.

The formula for finding an angle of a curve is n/360 x 2 pi x radius, where n is the angle.

The radius of the arc is 3, because at the bottom we see the width of the figure is 3.

Substituting our known values, we have 1/4 x 2 x pi x 3 = 6 x 1/4 x pi = 3/2 x pi.

Therefore, our answer is 3/2 pi + 12

Answer:

5.76

Step-by-step explanation:

What is 12 percent (calculated percentage %) of number 48? Answer: 5.76.

Answer:   Peter had the fastest interval at D.

Step-by-step explanation:

Peter traveled roughly 180 miles in 3 hours for point D, thus making him the fastest.

Peter had the fastest interval at D.

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

From Point A to Point B Peter traveled roughly 30 miles in 30 minutes.

From Point B to Point C Peter traveled roughly 130 miles in 2 hours and 30 minutes.

From Point C he didn't move in distance but the hours moved so c is out.

From Point C to Point D, Peter traveled roughly 180 miles in 3 hours.

Therefore D Peter had the fastest interval at D.

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Answer:

50 degrees ( Vertically opposite)

Hope it helps

Step-by-step explanation:

Answer:

2    4/6     8/12

3  2/4      5/10

4    8/10     40/50

Step-by-step explanation:

Answer:

it is 90

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2*2-1m=3m

2+3m=5m

3m*5m=15m

Ignore the m it represents the meters

Photo shows how to get x=2

Answer:

El precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

Con la información proporcionada puedes escribir las siguientes ecuaciones:

2x+2y=334 (1)

4x+y=420 (2), donde:

x es el precio por libra de carne de res

y es el precio por libra de chivo

Primero, puedes despejar x en (1):

2x=334-2y

x=334/2-2y/2

x=167-y (3)

Ahora, debes reemplazar (3) en (2) y despejar y:

4(167-y)+y=420

668-4y+y=420

668-3y=420

668-420=3y

248=3y

y=248/3

y=82.67

Finalmente, puedes reemplazar el valor de y en (3) para encontrar el valor de x:

x=167-y

x=167-82.67

x=84.33

De acuerdo a esto, la respuesta es que el precio por libra de la carne de res es $84.33 y el precio por libra de chivo es $82.67.

Step-by-step explanation:

h = 70

c = 180-110 = 70

h&c are corresponding angles so congruent

Answer:

21.

Step-by-step explanation:

M a t h .

Answer:

C. 5^4

Step-by-step explanation:

(5^4 * 5^5) / 5^5

5^9 / 5^5

5^4

Answer:P(c) =80x+100

First of all why is thomas buying 55 jerseys and the total is $4500

Step-by-step explanation:

Answer: The number of push-ups Noah does.

Step-by-step explanation:

Diego does twice as many push-ups as

Noah (2x) and also 40 jumping jacks (+40). He does 62 exercises (=62).

It's not the amount that Diego does because Diego's amount is twice of Noah's, or twice of x. X would have to equal the number of push-ups Noah does.

Answer:

x=2,−4 hope this was help full

Step-by-step explanation:

there is the answers for this one

Answer:

161ft^2 is answer

Step-by-step explanation:

area of rectangle = l ×b

=7ft ×23ft

=161ft^2

Answer:

10x+100

Step-by-step explanation:

(x+10)10

(x)(10)+(10)(10)

10x+100

Answer:

21 :)

Step-by-step explanation:

BECAUSE IT IS 21 OK ;)

Answer:

7.5 mph

Step-by-step explanation:

Given :

Distance traveled in miles = 10 miles

Time taken = 1 hour 20 minutes

In other to express average speed on terms of miles per hour :

Time in hour = 80 / 60 = 1.333333 hours

Average speed = Distance traveled / time taken

Distance = 10 miles / 1.33333 hours

Distance = 7.5 miles per hour