Expand the following log:

[tex]log_{b} (\frac{x^{3} }{y^{2} })[/tex]

SHOW ALL WORK.

D) x = 72

If this helps, please mark brainliest

Answer:

if ur doing usa test prep it’s D) 72

Step-by-step explanation:

Center pole = SQRT(10^2 - 4.8^2)

Center pole = SQRT(100-23.04)

Center pole = SQRT(76.96)

Center pole = 8.8 feet

Answer:

80 - 1/4 acre sections

Step-by-step explanation:

If the farmer is dividing her land into 1/4 acre sections...

1. there will be 4 sections in one acre (4/4 = 1)

2. multiply 4 (sections) by 20 (acres)

    4*20 = 80

we can simply put both fractions with the same denominator, and thus then we can just compare which numerator is larger.

we can do so by multiplying each fraction by the other's denominator, let's proceed.

[tex]\bf \stackrel{Laura}{\cfrac{3}{4}\cdot \cfrac{3}{3}}\implies \cfrac{9}{12}~\hfill \stackrel{Anna}{\cfrac{2}{3}\cdot \cfrac{4}{4}}\implies \cfrac{8}{12} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{Laura}{\cfrac{9}{12}}~>~\cfrac{8}{12}~\hfill[/tex]

Answer:

one solution: (0, –1)

Step-by-step explanation:

we have

[tex]y=5x-1[/tex] ----> equation A

[tex]-15x-3y=3[/tex] ----> equation B

isolate the variable y in the equation B

[tex]3y=-15x-3[/tex]

[tex]y=-5x-1[/tex] ----> equation C

Compare equation A and equation C

The equations are different

The slopes are different ( are not parallel lines)

therefore

The system has one solution

Solve the system

equate the equation A and equation C and solve for x

[tex]5x-1=-5x-1[/tex]

[tex]5x+5x=-1+1[/tex]

[tex]x=0[/tex]

Find the value of y

[tex]y=5(0)-1=-1[/tex]

The solution is the point (0,-1)

Answer:

[tex]\large\boxed{d.\ 6x^3+8x}[/tex]

Step-by-step explanation:

[tex]2x(3x^2+4)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(2x)(3x^2)+(2x)(4)\\\\=6x^3+8x[/tex]

Answer:

8.00

Step-by-step explanation:

its all about moving over the decimal

Answer:

x = -3/2  or  -1.5

Step-by-step explanation:

You have to get X on one side by itself.

2x + 4 - 7x + 9x = -2

Subtract the 4

2x - 7x + 9x = -6

Combine like terms

-5x + 9x = -6

Combine like terms

4x = -6

Divide by 4

x = -6/4

Simplify

x = -3/2  or  -1.5

Answer:

The length is 7x+9

Step-by-step explanation:

We know that area equals length times width

A = l*w

63x+81 = l*9

The area is 63x+81 and the width is 9

Divide each side by 9

63x/9 +81/9 = 9l/9

7x +9 = l

The length is 7x+9

Answer:

The length should be 7x+9

Answer:

Let's start with the open question.

Benefits

The benefits of using an open question is that it allows you to get a wide array of answers. People asked can come up with unique answers that the person who came up with the survey may not have thought of. This allows for more possibilities of finding a good solution.

Disadvantages

The disadvantage of this system is that you may get answers that would not work. For instance, if you wanted to incentivize students to each healthier, an open ended answer might suggest giving a monetary reward for those who eat healthy. This is not feasible in a school, so therefore getting this as an answer is a waste of time.

Now let's tack the close question.

Benefits

The key benefit of the closed question is that is allows you to settle between options that the surveyor has set on. Likely, if there are 3 answers, we know that these are the only ways that we can solve the problem with the resources that we have.

Disadvantages

If you ask a question this way, there is not chance that you'll be given alternative methods to solving the problem. Someone being surveyed may have a great idea on how to solve the problem that is not listed. Using this method will not garner you the response to inform you of this way.

Open questions in surveys capture rich data and offer depth of knowledge but are harder to analyze. Closed questions allow for easy analysis and comparison but tend to limit the respondents' answers.

Open and closed questions in surveys convey their individual advantages and disadvantages. Open questions offer the advantage of capturing rich, detailed data that can provide profound insights. For instance, in response to 'What can be done to get students to eat healthier foods?' a variety of unforeseen ideas may surface, providing a depth of knowledge. However, open questions are harder to analyze due to the broad variety of responses, and they may confuse or overwhelm respondents with their open-ended nature.

On the other hand, closed questions, such as 'How would you get students to eat healthier foods?' with provided options, have the advantage of readily quantifiable answers which allows for easy comparison and analysis. These questions also guide respondents in formulating their answers. However, they may limit respondents' answers and may not provide the full perspective or nuanced responses that open questions can elicit.

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Answer:

red marble out of the same jar, without replacing the first marble.

Step-by-step explanation:

Dependant events means one depends on the other.  If you don't replace the first marble then the chance of drawing any other marble is changed.  To better see it try giving them numbers, how many blue and red marbles start in the jar  and calculate probability before and after removing a blue marble.  

Dependent events are those in which the outcome of one affects others. Drawing a marble from a jar and then drawing another without replacing the first one is an example of dependent events. Independent events don't affect each other, as when drawing marbles from different jars or replacing a marble before drawing another from the same jar.

The question you've asked pertains to the concept of dependent and independent events in probability theory. Dependent events are events in which the outcome of one affects the outcome of the others.

If we draw a blue marble from the jar and then, without replacing the first marble, we draw another marble, these are dependent events because the second event is affected by the outcome of the first.

On the other hand, if we draw a blue marble from one jar and then draw a marble from another jar, these are independent events because they do not affect each other.

Similarly, if we draw a marble from a jar, replace it, and then draw another, these are also independent events because putting the first marble back makes the second draw unaffected by the first one.

For more such questions on Dependent events, click on:

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Answer:

Charles

Step-by-step explanation:

Bart worked for 36 hours, and earned $612.

$612 / 36 = $17 is what he earned per hour

Charles worked for 34 hours, and earned $663.

$663 / 34 = $19.5 is what he earned per hour

You don't even need to solve for anything actually. Just looking at the given values, you will see that Charles earned more money despite working less hours compared to Bart.

Answer: [tex]y=\frac{1}{2}x+7[/tex]

Step-by-step explanation:

The slope-intercept form of the equation of the line is the following:

[tex]y=mx+b[/tex]

Where m is the slope and b the y-intercept.

By definition, when two lines are perpendicular, their slopes are opposite reciprocals.

Then, to find the slope of the equation  of the line given, you can solve for y:

[tex]4x+2y=6\\2y=-4x+6\\\\y=-2x+3[/tex]

As you can see, the slope of this line is -2.Then, the slope of the line that is perpendicular to it, must be:

[tex]m=\frac{1}{2}[/tex]

Substitute the slope and the point given, into the equation  and solve for b:

[tex]8=\frac{1}{2}(2)+b\\8=1+b\\b=7[/tex]

Therefore, the equation of this line is:

[tex]y=\frac{1}{2}x+7[/tex]

Answer:

Friction

Step-by-step explanation:

Because friction between the floor and the ball made the ball stopped from rolling.

Answer:

Friction

Step-by-step explanation:

The force that acts in opposite direction to the motion of the ball thereby causing it to stop is the force of friction.

This frictional force is a force of opposition that causes bodies moving in a particular direction to come to an halt. The force always acts in the opposite direction to the moving force acting on a body.

Answer:

Pham earns 6,500 per month.

Step-by-step explanation:

To get the monthly salary, divide the yearly salary by 12.

78,000/12 = 6,500

Answer:

78,000 / 12 = 6,500

Step-by-step explanation:

Pham's annual salary is $78,000

To find Pham's month salary

Divide 78,000 by 12

Thus 6,500

in this case, s is 5 years older than luke's age

Answer:

3s represents:

3 times of Sydney's age

Step-by-step explanation:

We are given that:

Luke is 5 years younger than 3 times Sydney's age, s.

i.e. Sydney's age is denoted by s

Then,

3s represents 3 times of Sydney's age

Hence, 3s represents:

3 times of Sydney's age

Answer:it could possibly equal 2[tex]\sqrt{x}[/tex]34 or 8Step-by-step explanation: by the pythagorean thoerm 6[tex]x^{2}[/tex]+10[tex]x^{2}[/tex] = 2[tex]\sqrt{x}[tex]34 or 6[tex]\sqrt{x}[/tex] +b[tex]x^{2}[/tex]=10[tex]x^{2}[/tex]

Final answer:

The length of the third side of the triangle is approximately 11.66 feet.

Explanation:

To find the length of the third side of a triangle, we can use the Pythagorean theorem. According to the theorem, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the lengths of the two sides given are 6 feet and 10 feet. So, we can calculate the length of the third side as follows:

a² + b² = c²

6² + 10² = c²

36 + 100 = c²

136 = c²

c = √136

c ≈ 11.66 feet

Answer:

Joey ran 39 yards

Step-by-step explanation:

a²+b²=c²

15²+36²=c²

225+1296=c²

1521=c²

√1521=√c²

39=c

Answer:

0.03

Step-by-step explanation:

The given question uses the concept of Conditional Probability. The general formula of conditional probability in terms of two events A and B is:

[tex]P(A|B) = \frac{P(A \cap B}{P(B)}[/tex]

In the given case, the two events are:

LC = Event that someone has lung cancer

S = Event that someone is smoker

The formula in terms of these events will be:

[tex]P(LC | S)=\frac{P(S \cap LC)}{P(S)}[/tex]

Using the given values, we can find the probability that a random person is a smoker and has lung cancer P(S∩LC).

[tex]0.158=\frac{P(S \cap LC)}{0.19} \\\\ P(S \cap LC) = 0.158 \times 0.19\\\\ P(S \cap LC) = 0.03[/tex]

Therefore, the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer P(S ∩ LC) is 0.03

Answer:

P (S∩LC) = 0.03

Step-by-step explanation:

It is known that the probability if someone is a smoker is P(S)=0.19 and the probability that someone has lung cancer, given that they are also smoker is P(LC|S)=0.158.

So using the above information, we are to find the probability hat a random person is a smoker and has lung cancer P(S∩LC).

P (LC|S) = P (S∩LC) / P (S)

Substituting the given values to get:

0.158 = P(S∩LC) / 0.19

P (S∩LC) = 0.158 × 0.19 = 0.03

Answer:

y=1.5x+22 Substitute 35 for x: y=1.5(35)+22; x=74.5, which means the discount package is cheaper unless Brian gets 75 car washes. or d plz make Brainleist.

Step-by-step explanation:

The option that would make the $35 deal a better choice is 75 cars washes.

The equation that can be used to determine the required value is:

$22 + $1.50x

Where x represents the number of car washes

Substitute x with 35

$22 + $1.5(35) = 74.5 = 75 cars

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The correct answer is (A)!

Answer:

(6,7)

Step-by-step explanation:

To translate a point, move each coordinate the specified amount and direction. Since the origin (0,0) moved to (5,4) or 5 right and 4 up, move (1,3) the same amount and direction. 1 moves right to 6. 3 moves up to 7. The new point is (6,7)

Answer:

(-4,-1)

Step-by-step explanation:

(h,k)=(5,4) and (x,y)=(1,3)

x' = x - h = 1 - 5 = - 4

y' = y -k = 3 - 4 = - 1

if a fair dice is tossed the probability is (T, H) (H, T) ( T, T) (H, H)

A fair, six-sided die has six equally likely outcomes. The probability of any one face showing up when the die is tossed is 1/6 or approximately 0.1667. Probability is a long term expectation under ideal theoretical conditions.

The question is asking about the probability of each face showing up when a six-sided die is tossed. A fair, six-sided die has six possible outcomes: the faces are numbered 1, 2, 3, 4, 5, or 6. Each face is equally likely to be the uppermost face when the die is tossed. Therefore, the probability of any one face showing up is 1 out of 6, or approximately 0.1667.

Probability is a theoretical concept that tells us how likely an event is to occur. It does not describe the short-term results of an experiment. Rather, it gives information about what can be expected in the long term. Thus, if you were to toss a fair, six-sided die many times, you would expect that each face would come up about one-sixth of the time. This expectation is based on the assumption of ideal theoretical conditions where the die is fair.

Probability is a key concept in statistics and is used in many different areas of life, including in decision making, prediction, risk management, and games of chance.

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Answer:

An ANOVA test

Step-by-step explanation:

You will use the ANOVA test, which is a test that compares the means of more than 2 samples.  Since the teacher used 3 test groups, she would have to use this test if she wanted to do a hypothesis test to determine if the means are equal.  

*This test only tells us if the means are equal, it won't say which is greater than the other.  You would have to do 3 individual hypothesis tests comparing 2 means at a time in order to determine that.

An ANOVA (Analysis of Variance) is the appropriate statistical test to use when comparing the test scores of students studying under different sound conditions (constant sound, random sound, and no sound).

The type of statistical test to use for conducting a hypothesis test in this scenario would likely be an ANOVA (Analysis of Variance), which is specifically designed to compare the means of three or more groups. Since we have three independent groups of students (constant sound, random sound, and no sound) and we want to test if there is a significant difference in the test scores that could be attributed to the study condition, ANOVA is the appropriate choice of test.

The information provided about the music and sound conditions suggests that the volume of any background music should be low enough to not disrupt conversation and that it may serve as an auditory memory cue if used consistently. Additionally, the studies mentioned indicate various effects of background music on task performance among students, be it learning a passage, recalling information, or completing reading comprehension tasks. These factors would be considered when interpreting the results of the ANOVA.

Answer: B

x         q(x)

-2          -1

3            0

8            1

13           2

Step-by-step explanation:

An inverse of a function is a reflection across the y=x line. This results in each (x,y) point becoming (y,x).

x         f(x)

-1          -2

0           3

1            8

2           13

So the inverse becomes:

x         Inverse

-2          -1

3            0

8            1

13           2

Answer:

The correct option is B.

Step-by-step explanation:

The table of values of a function is given below:

x    :     -1    0    1    2

f(x) :    -2    3     8   13

If a function is defined f:R→R

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

them the inverse of function is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

The table of values of inverse function is

x      :    -2    3     8   13

f⁻¹(x):     -1    0    1    2

We can say that q(x) is the inverse function of f(x). Therefore the correct option is B.

Answer:

no

got correct on algebra nation

Answer:

Approximately the town´s population are 2285 people.

Step-by-step explanation:

1. Lets name the total population of the town as x, so the percentage of the population that is over the age of 65 can be expressed as:

[tex]P_{+65}=0.14x[/tex]

2. As there are 320 residens over the age of 65, means that the fourteen percent of the town´s population is equal to 14%, that is:

[tex]320=0.14x[/tex]

3. Solving for x it can be found the town´s population:

[tex]x=\frac{320}{0.14}[/tex]

[tex]x=2285people[/tex]

C is the correct answer. Appreciate it if you gave me brainliest!

Answer:

C

Step-by-step explanation:

and thank you for this it was funny and a good break from algebra 1! XD

Answer:

2

3

5

.................................................

Answer:

2, 3, 4.

I don't have an explanation I just did the test.

Answer:

{π/4 +2πn, 3π/4 +2πn}

Step-by-step explanation:

csc = 1/sin, so when csc(θ) = √2, sin(θ) = 1/√2. Then θ = π/4 or 3π/4.

This means arccsc(√2) will be the set of angles shown above.

___

Once you recognize that π/4 is one of the angles, you can eliminate all but the correct answer choice.

Of course this is much easier if you have memorized the short list of trig function values:

sin(π/6) = cos(π/3) = 1/2

sin(π/4) = cos(π/4) = 1/√2 = (√2)/2

sin(π/3) = cos(π/6) = (√3)/2

tan = sin/cos

sec = 1/cos

csc = 1/sin

Answer:

the above answer is correct