Solve the logarithmic equation Be sure to reject any value of that is not in the domain of the original logarithmic expressions Give the exact answer
log (8x - 5).log(x + 2). log 9
Rewrite the given equation without logarithms. Do not solve forx
Solve the equation to find the solution set Select the correct choice below and, if necessary, fill in the answer box to complete your choice
A The solution set is r3
(Simplify your answer. Use a comma to separate answers as needed)
B. There are infinitely many solutions
OC There is no solution

Answer:

1/2

Step-by-step explanation:

If you need an explanation then let me know in the comments

Answer:

25%

Step-by-step explanation:

You have a 1/2 chance of getting an even number and a 1/2 chance of getting heads, so you multiply these fractions together and get 1/4, which is equal to 25%

Answer:

B. 40.2 degrees

Step-by-step explanation:

Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.

To find the value of ∠FGE use trigonometric ratios.

Use sine ratio to find the value of ∠FGE.

Rewriting it in terms of x° as follows,

Now find the opposite and hypotenuse side of the angle ∠FGE.

So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.

Substituting the values,

Given that length of FE is 12 inch and FG is 18.6 inch.

Substituting the value,

To find the value of x, taking inverse sin.

Calculating the value,

Rounding to nearest tenth the value of angle is 40.2

Therefore measure of ∠FGE is 40.2° .

Answer:

B. 0, 1, 2, 3

Step-by-step explanation:

If n were to be 4, the expression would then be incorrect because 36 is not greater than itself. However, if n was 0, 1, 2, or 3, each value would be less than 36, which is what we are looking for.

36 > 9n

36 > 9(0)

36 > 0

Correct!

36 > 9n

36 > 9(1)

36 > 9

Correct!

36 > 9n

36 > 9(2)

36 > 18

Correct!

36 > 9n

36 > 9(3)

36 > 27

Correct!

36 > 9n

36 > 9(4)

36 > 36

Incorrect! This expression would only be correct if the sign was representative of greater than or equal to, rather than just equal to.

I hope this made sense! Have an amazing day. :)

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

Answer:

The first step would be to multiply 4 by 6

Step-by-step explanation:

4*6 = 24

24 + 3 = 27

27 - 4 = 23

Answer:

y = -3x + 7

Step-by-step explanation:

Points on the graph: (0, 7) and (3, -2)

Slope:

m=(y2-y1)/(x2-x1)

m=(-2-7)/(3-0)

m=(-9)/3

m = -3

Slope-intercept:

y - y1 = m(x - x1)

y - 7 = -3(x - 0)

y - 7 = -3x

y = -3x + 7

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Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

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Answer:

0.0082 = 0.82% probability that a randomly selected person will wait more than 42 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean wait time of 30 seconds and a population standard deviation of 5 seconds.

This means that [tex]\mu = 30, \sigma = 5[/tex]

What is the probability that a randomly selected person will wait more than 42 seconds?

This is 1 subtracted by the pvalue of Z when X = 42. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{42 - 30}{5}[/tex]

[tex]Z = 2.4[/tex]

[tex]Z = 2.4[/tex] has a pvalue of 0.9918

1 - 0.9918 = 0.0082

0.0082 = 0.82% probability that a randomly selected person will wait more than 42 seconds.

Answer:

44

Step-by-step explanation:

Refer to PEMDAS.

5 x 4 = 20

5 x 10 = 50

20 - 16 = 4

4 + 50 = 54

54 - 10 = 44

Answer:

I think it is B So sorry if it not

Step-by-step explanation:

Good Luck!

Step-by-step explanation:

VAT = 250*15%

VAT = 250*15/100

VAT = 37.5 therefore

total price add VAT =250+37.5

=287.5

Answer:

D

Step-by-step explanation:

median because it indicates the expected range of gas prices

Answer:

0 on the x axis and -6 on the y axis i think

Answer:

It would be located on the Y-axis

Step-by-step explanation:

If you plot 0,-6 on a graph, you start on the origin since the x-axis is 0, and for the -6, you go DOWN 6 units, which is on the Y-axis. Therefore, the answer the y-axis.

Answer:

Step-by-step explanation:

From the given information:

(i)

The domain includes all runners in a race.

x is "R" y if x beats y

Now, in a race; either x beats y or y beats x

So, x"R"y or y "R" x, but here at least two runners tied.

Thus, the relation is not in total order as x"R"y or y"R"x may not happen.

(j)

S = {a,b,c,d}

The domain = Power set of S

x"R"y if |X| ≤ |Y|

Thus, the relation is a partial order.

(k)

S = {a,b,c,d}

The domain = Power set of S

x"R"y if |X| ≤ |Y|

Answer:

169

Step-by-step explanation:

Larger Number = 196

Smaller Number = 169

Step-by-step explanation:

larger sum = 196/

smaller sum = 169/

hope it helps. :)

Answer:

x = 122

Step-by-step explanation:

x = 122 because of alternate interior angles

Answer:

x = 122°

Step-by-step explanation:

Two parallel lines with a third line intersecting them are called a transversal.

The two angles shown in the picture, x and 122° are alternate interior angles.

Alternate angles are a pair of angles that are on the inner side of each of the two lines but are on opposite sides of a transversal.

These are really similar to vertically opposite angles!

All alternate angles have the same value, thus x = 122°.

You can also see that alternate angles are like corresponding angles and vertically opposite angles combined!

Answer:

480[tex]in^3[/tex]

Step-by-step explanation:

Volume of a Rectangular Prism = L x W x H

12 x 8 x 5 = 96 x 5 = 480

480 in^3

Answer:

x = 2

Step-by-step explanation:

1. Add 9 to both sides.

6x=3+9

2. Simplify  3+9  to  12.

6x=12

3. Divide both sides by 6.

x=12/6

4.

Simplify 12/6 to 2

x = 2

Answer:

1) D: none of them

2) C: ae^(ax)

3) A: cot x

4) A: (3,0)

Step-by-step explanation:

1) the degree of the denominator is more than that of the numerator, thus as n approaches infinity, the function would approach zero. The answer is not available among the options

2) y = e^(ax)

dy/dx = ae^(ax)

3) y = log(sin x)

dy/dx = (1/sin x) × d(sin x)/dx

dy/dx = cosx/sin x

dy/dx = 1/(sin x/cos x)

We know from trigonometry that sin x/cos x = tan x. Thus

dy/dx = 1/tan x

dy/dx = cot x

4) An inflection point is usually the point where the second derivative is equal to zero.

f(x) = x³ - 9x²

f'(x) = 3x² - 18x

f"(x) = 6x - 18

Equating to zero gives;

6x - 18 = 0

x = 18/6

x = 3

Thus the inflection point is (3,0)

Answer:

it's 1512. you multiply everything together. volume=lengthsxheightxwidth

Multiply total mass by portion that is water:

75 x 0.6 = 45

Water = 45 kilograms.

Answer:

45 kilograms

Step-by-step explanation:

Hope this helps

Answer:

32 is 40% of 80

Step-by-step explanation:

Good Luck

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}b^{2} - 6[/tex]

[tex]\frac{1}{2}(4)^{2} - 6[/tex]

[tex]\frac{1}{2} * 16 - 6[/tex]

[tex]8 - 6[/tex]

[tex]2[/tex]

Answer:

2

Step-by-step explanation:

Plug in the value:

1/2 b² – 6

1/2 (4)² – 6

Use order of operations (PEMDAS):

There are no parentheses:

Do exponent:

1/2 (16) – 6

Then multiplication and division in the order that they come in:

8 – 6

Then addition and subtraction in the order that they come in:

2

Answer:

8

Step-by-step explanation:

8 if the corresponding angles to 4 because he angles are in matching corners in the transversal.

Hope this helped a bit :)

Answer:

30

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

mark me brainlest

Answer:

(-3 ;13/2)Step-by-step explanation:

hello :

the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )

(-3 ;13/2)

Answer:

1/2, or 50%

Step-by-step explanation:

out of the six possibilities, there are 3 odd numbers: 1, 3, 5

3 out of 6 is 1/2, therefore the probability is 1/2, or 50%

Answer:

225w

Step-by-step explanation:

volume formula: w*r²*9

w*5²*9

25*9w

225w

Answer: V=707

Step-by-step explanation: