Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log(2) + log(1/6)
B. log 2
C.log(1/3)
D. log 3

Answer:

Step-by-step explanation:

take 48 degree as reference angle

using tan rule

tan 48=opposite/adjacent

1.11=missing side/58

1.11*58=missing side

64.38=missing side

Answer:

b=4

Step-by-step explanation:

4 Also can someone tell me how to do this? step by step?

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

Answer:

1/5.

Step-by-step explanation:

First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.

Answer:

B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)

Step-by-step explanation:

3 to the negative 5th power as a fraction is

1 / 243.

2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.

Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).

Answer:

16.6

Step-by-step explanation:

To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.

Let's analyze each option:

A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)

In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.

B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)

Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.

C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)

Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.

D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)

In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.

To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.

Option C is correct answer

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Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

Step-by-step explanation:

Number less than 2 is 1.

Probability of 1 out of 6 is:

Probability of heads is:

The probability of both is:

Answer:

an = 80. 2^(n-5)

Step-by-step explanation:

r = a6/a5 =160/80 = 2

an = a5. r^(n-5)

= 80. 2^(n-5)

Answer:

0.25

Step-by-step explanation:

Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25

To It’s centered around 0.25 then the parameter would be 0.25.

We have given,

Suppose that many large samples were taken from a population and the sample proportion centered around 0.25

We have to determine which of the given is most likely the population parameter.

A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.

To It’s centered around 0.25 then the parameter would be 0.25

Therefore option A(0.25) is correct

To It’s centered around 0.25 then the parameter would be 0.25.

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Answer:

3 is the common difference

The next term in the sequence would be 5

Answer:

:)

Step-by-step explanation:

[tex]-10, -7, -4, -1, 2, 5,[/tex]

Common difference = +3

Next term = 2 + 3 = 5

Answer:

-1/4

Step-by-step explanation:

we always keep the denominator the same if they are the same number and I just subtracted the numerator

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Answer:

The amplitude is 3 and the period is 10π/9.

Step-by-step explanation:

The standard cosine function is in the form:

[tex]y=a\cos(b(x-c))+d[/tex]

Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]

We can rewrite this as:

[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]

Therefore, a = 3, b = 9/5, c = 0, and d  = 0.

Hence, our amplitude is |3| = 3.

Our period will be:

[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

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Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Answer:

Step-by-step explanation:

so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.

now 16x9=144

and 9x9x9=729

725x25=18225

hope that helps

have a great day/night

19NBoli

Answer:

f( n ) = 7 n - 4

Step-by-step explanation:

Terms : 3,10 , 17, 24, 31

Means this   =  [tex]a_{1}[/tex] = 3

The differences:

d = 10-3=7

our term of the sequence =

f( n ) = 7 n - 4

The park formed like a rectangle so :

Area = length × width

Area = ( 9/10 ) × ( 4/5 )

Area = 9 × 4 / 10 × 5

Area = 9 × 2 × 2 / 5 × 5 × 2

Area = 18 / 25

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:

A solution to a system of equations is the point(s) where they intersect.  Find the ordered pairs where they intersect and you have your answers.

Step-by-step explanation: