3(6+X) = 24
SOLVE THE EUATION

Answer:

Step-by-step explanation:

meow goofy kid

By applying online survey method concept, it can be concluded that the company is using reward in the form of a $2.00 payment and an incentive by telling the readers that his or her input will make a difference (option D).

Online survey is a common survey method used by companies to gather data from a sample of the population.

Response rate is defined by the percentage of persons asked to answer a survey who actually answer the survey.

The company is using an online survey to allow them to reach a larger sample of people and gather data more efficiently.

However, by offering a small reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference, the company is hoping to increase the response rate and get more accurate results from the survey.  (option D)

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Full question:

Suppose you are reading an article online when the following text appeared in a popup window:

"Would you be interested in participating in a short health-related survey? If you qualify and complete this survey, you will receive $2.00".

What tactic is being used to increase the response rate for this survey? A. The company is selecting people randomly.

B. The company is using an online survey.

C. The company is using callbacks.

D. The company is using a reward in the form of the $2.00 payment and an incentive by telling the readers that his or her input will make a difference

Answer:

6x-21

Step-by-step explanation:

3*2x = 6x

3*-7 = -21

6x-21

Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.

The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.

In mathematical notation, this looks like:

3^8 = 3^5 x 3^3

Using the properties of multiplication, we can add the exponents together:

3^8 = 3^(5+3)

Simplifying the exponent:

3^8 = 3^8

This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.

Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.

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The pressure acting on an object below the surface of a body of salt water increases as the depth below the surface increases. The rate at which the pressure increases is approximately 111,111 pounds per square inch (psi) for every increase in depth of 25,525 feet (ft).

To find the depth at which the pressure acting on the object is 50 psi, we can set up a proportion:

Pressure increase / Depth increase = Pressure at surface / Depth at desired pressure

Using the given values:

111,111 psi / 25,525 ft = 15 psi / Depth at desired pressure

Now we can solve for the Depth at desired pressure:

Depth at desired pressure = (25,525 ft * 15 psi) / 111,111 psi

Simplifying the equation:

Depth at desired pressure = 383,625 ft / 111,111 psi

To round to the nearest foot, we divide the numerator by the denominator and round the result to the nearest whole number:

Depth at desired pressure ≈ 3.45 ft

Therefore, at a depth of approximately 3.45 feet below the surface of the body of salt water, the pressure acting on the object will be 50 psi.

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The given series is convergent. It is a p-series with p = 2 because each term is in the form of 1/n².

The p-series with p > 1 always converge, so this series converges. This means that the sum of the terms in the series approaches a finite value as the number of terms approaches infinity.

In other words, the series does not diverge to infinity or oscillate between positive and negative values. The convergence of this series can be proven using the integral test or by comparing it to another convergent series.

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Answer:

x = 3 + sqrt(e^3 + 9)

Step-by-step explanation:

Solve for x over the real numbers:

log(x) + log(x - 6) = 3

Hint: | Combine logarithms.

log(x - 6) + log(x) = log(x (x - 6)):

log(x (x - 6)) = 3

Hint: | Eliminate the logarithm from the left hand side.

Cancel logarithms by taking exp of both sides:

x (x - 6) = e^3

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

x^2 - 6 x = e^3

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 - 6 x + 9 = e^3 + 9

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 3)^2 = e^3 + 9

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 3 = sqrt(e^3 + 9) or x - 3 = -sqrt(e^3 + 9)

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(e^3 + 9) or x - 3 = -sqrt(e^3 + 9)

Hint: | Look at the second equation: Solve for x.

Add 3 to both sides:

x = 3 + sqrt(e^3 + 9) or x = 3 - sqrt(e^3 + 9)

Hint: | Now test that these solutions are correct by substituting into the original equation.

Check the solution x = 3 - sqrt(e^3 + 9).

log(x) + log(x - 6) ⇒ log((3 - sqrt(e^3 + 9)) - 6) + log(3 - sqrt(e^3 + 9)) = 2 i π + 3 ≈ 3 + 6.28319 i:

So this solution is incorrect

Hint: | Check the solution x = 3 + sqrt(e^3 + 9).

log(x) + log(x - 6) ⇒ log(3 + sqrt(e^3 + 9)) + log((3 + sqrt(e^3 + 9)) - 6) = 3:

So this solution is correct

Hint: | Gather any correct solutions.

The solution is:

Answer: x = 3 + sqrt(e^3 + 9)

9514 1404 393

Answer:

  x = 3 + √1009 ≈ 34.765

Step-by-step explanation:

Take the antilog and solve the resulting quadratic.

  x(x -6) = 10^3

  x^2 -6x +9 = 1009 . . . . . . add (-6/2)^2 to complete the square

  (x -3)^2 = 1009 . . . . . . . . . write as a square

  x = 3 + √1009 ≈ 34.765 . . . . . square root and add 3

__

Only the positive root makes any sense, since the log of a negative number is not defined (in real numbers).

__

For the graph, we subtracted 3 so we are looking for the x-intercept where f(x)=0.

In order to find the value of x, consider that the measure of the angle above angle of 142° is equal to the measure of the angle with expression 2(x+9).

Take into account that the sum of the angle of 142° and the angle above it is equal to 180°.

Then, you have:

142 + 2(x + 9) = 180

solve the previous equation for x, as follow:

142 + 2(x + 9) = 180 apply distribution property left side

142 + 2x + 18 = 180 simplify like terms left side

2x + 160 = 180 subtract 160 left side

2x = 180 - 160

2x = 20

x = 20/2

x = 10

Hence. the value of x is 10°

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Answer:

mg

Step-by-step explanation:

because Mg is a symbol for Magnesium so milligram is mg

A construction crew has just built a new road.

They worked for 3 weeks.

Total duration of work = 3 weeks

They built the road at a rate of 7.68 kilometers per week

In one week they built 7.68 Km

To find the total Kilometers of road build in 3 week, multiply the total number of week by the kilometers of road done in one week

Total kilometer of road in 3 week = 3 x 7.68 Km

Total Kilometer of road in 3 week = 23.04Km

They made 23.04Km of road.

Answer : They made 23.04Km of road.

Answer:

23.04 km of road

Step-by-step explanation:

7.68 km x 3 weeks = 23.04 km of road.

Answer:

8.11

Step-by-step explanation:

The 7 makes the 0 a 1

Answer:

31.5

cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3

Answer:

A  x+y

B x+0 + (y+0)

Step-by-step explanation:

(x+0) + y+0

Adding 0

x+y

Changing the order of the parentheses

x+0 + (y+0)

is still the same

The height of the tree is 16 feet if it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

The shadows at the same time of the day can be compared for the garden wall and a tree as follows;

tree shadow / tree height = wall shadow / wall height

As the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x;

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore the height of the tree is calculated to be 16 feet.

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The height of the tree is 16 feet when it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

An equation is an expression that shows the relationship between two or more numbers and variables.

The shadows at the same time of the day can be compared for the garden wall and a tree is given by;

tree shadow / tree height = wall shadow / wall height

Since we know that the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x,

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore, the height of the tree is calculated to be 16 feet.

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Answer:

Option C : 173.8 km² is the correct answer.

Step-by-step explanation:

Given that:

Side length = 6 kilometers

A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.

Area of octagon is given by;

Area = \(2(1+\sqrt{2})a^2\)

Putting a=6

Area = \(2(1+\sqrt{2})(6)^2\)

Area = \((2+2\sqrt{2})(36)\)

Area = 173.82

Rounding off to one decimal place

Area = 173.8 km²

Hence,

Option C : 173.8 km² is the correct answer.

Answer:

2.9

Step-by-step explanation:

If the order is P, Q, R on the number line, add both segments together.

Answer:

source please?

Step-by-step explanation:

Without a source I cannot

Answer:

(4,1)

Step-by-step explanation:

Multiply the first equation by -3

(x-5=-y)*-3 = -3x+15=3y

Then combine like terms with the new equation and the second equation

(-3x+15=3y) + (3x-10=2y) = 5=5y

Divide 5 by both sides

1=y

Plug in 1 for y in an equation. Doesn’t matter which one and solve

x-5=-(1)

Distribute the negative sign to the 1

x-5=-1

Add 5 to both sides

x=4

Answer:

Step-by-step explanation:

Let CE and DE be the bisectors of ∠C and ∠D respectively. Then, ∠1 = 1/2∠C and ∠2 = 1/2∠D

In △DEC, we have

→ ∠1 + ∠2 + ∠CED = 180° [Sum of angles of a triangle]

→ ∠CED = 180° - (∠1 + ∠2). .....(i)

Again, the sum od the angles of a quadrilateral is 360°.

∴ ∠A + ∠B + ∠C + ∠D = 360°

→1/2(∠A + ∠B) + 1/2∠C + 1/2∠D = 180°

→1/2(∠A + ∠B) + ∠1+ ∠2 = 180°

→1/2(∠A + ∠B) = 180° - (∠1+ ∠2)....(ii)

From (i) and (ii), we get 1/2(∠A + ∠B) = ∠CED

Hence, ∠A + ∠B = 2∠CED

The slope of the tangent line to the function \(y(x) = 2x^2 + 4\) at \(x = 2\) is approximately -4.

To estimate the instantaneous rate of change of the function \(y(x) = 2x^2 + 4\) at the point \(x = 2\), we can compute the slopes of the secant lines that pass through \(x = 2\) and another point \(x\) that is getting closer and closer to 2.

Let's choose some x-values that are approaching 2:

\(x = 1.9\): \(y(1.9) = 2(1.9)^2 + 4 = 8.42\)
\(x = 1.99\): \(y(1.99) = 2(1.99)^2 + 4 = 8.0394\)
\(x = 1.999\): \(y(1.999) = 2(1.999)^2 + 4 = 8.003994\)

Now, let's compute the slopes of the secant lines using these points:

Slope of the secant line between \(x = 2\) and \(x = 1.9\):
\(\frac{{y(1.9) - y(2)}}{{1.9 - 2}} = \frac{{8.42 - 8}}{{-0.1}} = -4.2\)

Slope of the secant line between \(x = 2\) and \(x = 1.99\):
\(\frac{{y(1.99) - y(2)}}{{1.99 - 2}} = \frac{{8.0394 - 8}}{{-0.01}} = -3.94\)

Slope of the secant line between \(x = 2\) and \(x = 1.999\):
\(\frac{{y(1.999) - y(2)}}{{1.999 - 2}} = \frac{{8.003994 - 8}}{{-0.001}} = -3.994\)

By observing the trend in the computed slopes, we can see that as \(x\) gets closer and closer to 2, the slopes of the secant lines approach a value around -4.

Therefore, we estimate that the slope of the tangent line to the function \(y(x) = 2x^2 + 4\) at \(x = 2\) is approximately -4.

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The value corresponding to surviving the year is -$175, indicating the cost of insurance, and the value corresponding to not surviving the year is $119,825, representing the potential death benefit payout.

From the perspective of the 28-year-old male, the monetary values corresponding to the two events can be determined as follows:

a. Surviving the year: Since there is a 0.9988 probability that the male will live through the year, the value corresponding to surviving the year can be calculated as the premium paid for insurance minus any potential payout.

In this case, the male pays $175 for insurance, and since he survives, there is no payout. Therefore, the value corresponding to surviving the year is -$175.

b. Not surviving the year: Since there is a 0.0012 probability that the male will not survive the year, the value corresponding to not surviving can be calculated as the potential payout in case of death minus the premium paid for insurance.

In this case, the death benefit payout is $120,000, and the male has paid $175 for insurance. Therefore, the value corresponding to not surviving the year is $120,000 - $175 = $119,825.

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The marginal frequencies of chocolate and strawberry are 0.75 and 0.25 and chocolate is greater by 0.5

Marginal frequency is the ratio between either a column total or a row total and the total sample size.

For example, in a table of students classified by sex and area of study, the number of female students, regardless of area of study, would be one marginal frequency.

The marginal frequency of chocolate is calculated as;

The total frequency of chocolate = 30+45 = 75

The grand frequency = 75+25 = 100

marginal frequency of chocolate = 75/100

= 0.75

The marginal frequency of strawberry = 25/100

= 0.25

The difference in the marginal frequencies of chocolate and strawberry = 0.75 - 0.25 = 0.50

Therefore the marginal frequency of chocolate is greater than strawberry by 0.5

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Answer:

9

Step-by-step explanation:

Step 1: Setup

First of all, note that 6 is the same as 6/1 since 6 divided by 1 is 6. Therefore, start by setting up the problem like this:

6/1

 x    

3/2

Step 2: Multiply

Multiply the numerators together (6 x 3 = 18) and multiply the denominators together (1 x 2 = 2) and make it into one fraction like so:

18/2

Step 3: Minimize

The greatest common factor of 18 and 2 is 2. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get:

9/1

Step 4: Convert

Convert the improper fraction above to a whole number to get the answer:

9

That's it! Now you know how to calculate 6 times 3/2.

The answer is 4

Step by step explanation:

6 ÷ 3 = 4

2

To expand by three halves is to become 1.5 times what it was.

The angles formed by parallel lines a, b, and c, indicates that the correct option is the option C

C. x = 120, y = 70

Parallel lines are lines that that maintain a particular distance between each other, such that they have the same slope, and they do not meet, or intersect

The rays a, b, and c are parallel, therefore;

Angle x° and the 120° angle are corresponding angles;

x° = 120° (Corresponding angles formed between parallel lines are congruent)

The external angle theorem indicates;

x° = y° + 50°

Therefore, 120° = y° + 50° (Substitution property)

y° = 120° - 50° = 70°

The correct option is the option C. x = 120, y = 70

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If  a//b//c are parallel lines with a transversal passing through these line. Angle x= 120° and y = 70°.Option C

As far as parallel lines are concerned, Corresponding angles are equal when when a transversal passes through two parallel lines.  Alternate interior angles are equal too.

We can therefore say that x is 120°.

b is a straight line which is 180°

if x = 120 the remaining length of the diameter is 60°

Therefore to solve for y ⇒ 50° + 60° = 110°

The sum of the interior angles of a triangle is 180°

∴ 180° - 110° = 70

y = 70°

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Jan's number is 12.

To find Jan's number, we need to determine a positive integer that has exactly 16 positive divisors and includes both 12 and 15 as divisors.

Let's consider the prime factorizations of 12 and 15:

12 = 2^2 * 3

15 = 3 * 5

From these prime factorizations, we can see that the common factor between 12 and 15 is 3.

Now, to have exactly 16 positive divisors, the number should be in the form of \(p^a \times q^b \times r^c\), where \(p\), \(q\), and \(r\) are distinct prime numbers, and \(a\), \(b\), and \(c\) are positive integers.

Since 12 has 2^2 * 3 in its prime factorization and 15 has 3 * 5, we can construct the number by considering these factors:

The number will have 2 raised to the power of 2 because it needs to have 12 as a divisor. So far, we have \(2^2\).

Next, we need to include 3 raised to some power. Since 12 already has 3 in its factorization, we don't need to include an additional 3. Thus, we still have \(2^2\) for this part.

Finally, we need to include 5 raised to some power to account for 15 as a divisor. Since 15 already has 5 in its factorization, we don't need to include an additional 5.

Putting it all together, the number that satisfies the conditions is \(2^2 \times 3^1 \times 5^0 = 4 \times 3 \times 1 = 12\).

Therefore, Jan's number is 12.

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Answer:

the solution is (0,2) to the problem

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!