12. An antique painting is purchased in 1980 for $995. The value increases by 3.1% every
year. Determine the increase in value of the painting in the 6th year after it was pur-
(3)
chased. You must include an equation with your solution.

Answer:

its 7x+3=x-3

Step-by-step explanation:

it is

Null Hypothesis (H₀): The percent of businesses using email marketing to grow sales is equal to 52%.

Alternative Hypothesis (H₁): The percent of businesses using email marketing to grow sales is greater than 52%.

In this scenario, the business owner wants to test the belief that the percent of businesses using email marketing to grow sales has increased over the next year. To do this, we need to define the hypotheses for the statistical test.

Null Hypothesis (H₀): The percent of businesses using email marketing to grow sales remains the same or has not increased. The population proportion of businesses using email marketing is equal to or less than 52%.

Alternative Hypothesis (H₁): The percent of businesses using email marketing to grow sales has increased. The population proportion of businesses using email marketing is greater than 52%.

In symbolic notation:

H₀: p ≤ 0.52

H₁: p > 0.52

Where:

p represents the population proportion of businesses using email marketing to grow sales.

The null hypothesis assumes that there is no change or increase in the proportion of businesses using email marketing, while the alternative hypothesis suggests that there has been an increase in the proportion.

To test these hypotheses, the business owner would collect data on a sample of businesses and analyze the proportion of businesses using email marketing. Based on the sample results, statistical tests such as hypothesis testing or confidence interval estimation can be conducted to determine if there is evidence to support the claim of an increased proportion of businesses using email marketing to grow sales.

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If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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The minimum possible value of the sum $xyz$ occurs when $x$, $y$, and $z$ are as close to each other as possible.

To find the minimum possible value of the sum $xyz$, we need to consider the factors of 2004 and distribute them as evenly as possible among $x$, $y$, and $z$. Since we want the sum to be minimum, we try to minimize the differences between the values of $x$, $y$, and $z$.

The prime factorization of 2004 is $2^2 \times 3 \times 167$. To minimize the sum, we allocate the prime factors evenly: $x = 2$, $y = 2 \times 3 = 6$, and $z = 167$. Therefore, the minimum value of the sum $xyz$ is $2 \times 6 \times 167 = 2004$.

In this case, $x$, $y$, and $z$ are as close to each other as possible, resulting in the minimum value of the sum. Any other allocation of factors would increase the sum, making this the optimal solution.

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Answer:

False

Step-by-step explanation:

Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)

Answer:

12 cm

Step-by-step explanation:

48/4 is 12 since there is 4 sides and all of them are equal.

Answer:

the answer is 192

Step-by-step explanation:

48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.

the expected payments balance out, resulting in neither you nor your friend winning anything after 30 rolls of the game

In the given game, there are two possible outcomes for each roll: rolling a one or rolling a number other than one. Let's analyze the expected outcomes for each scenario.

When a one is rolled, you pay your friend 50 cents. Since there are six equally likely outcomes on a standard die, the probability of rolling a one is 1/6. Thus, the expected payment for rolling a one is (1/6) * (-50 cents) = -8.33 cents (negative because it's a payment from you to your friend).

When any other number is rolled (two to six), your friend pays you 10 cents. The probability of rolling a number other than one is 5/6. Therefore, the expected payment for rolling any other number is (5/6) * 10 cents = 8.33 cents (positive because it's a payment from your friend to you).

Since the game ended with neither of you winning anything, the total expected payments over the 30 rolls should be equal to zero. Considering the expected payments for rolling a one and rolling any other number, we can calculate the total expected payment as follows:

(1/6) * (-50 cents) * 30 + (5/6) * 10 cents * 30 = 0

Simplifying the equation, we find:

-250 cents + 250 cents = 0

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ANSWER AT THE BOTTOM

Question:

There is a bag with 1 red pen, 4 black pens, and 3 blue pens. If 2 pens are chosen from the bag without replacement, what is the probability that you chose 2 black pens.

Explanation:

Right now there are a total of 8 pens. 4 of them are black. So, the probability of choosing a black pen right now is 4/8, or 1/2.

Lets assume we picked a pen and got black.

Now there are only 7 pens in the bag, and only 3 of them are black. The probability of choosing a black pen right now is 3/7.

So on the first draw, the probability is 1/2

And on the second draw, the probability is 3/7

To find the probability of 2 ocurrences happening in a row, we must multiply their individual probabilities.

For example, if we wanted to find the probability of rolling two 6's in a row on a dice, we would need to mutiply the individual probability together. The probability of rolling one 6 is 1/6, so the probability of rolling two 6's in a row is 1/6 MULTIPLIED BY 1/6, which is 1/36.

The probability of rolling two 6's in a row is 1/36.

Lets apply the same principle to our situation right now.

So on the first draw, the probability is 1/2

And on the second draw, the probability is 3/7

1/2 MULTIPLIED BY 3/7    =    3/14

3/14 in decimal form is 0.21

ANSWER:

0.21, OR 21%

Answer:

Width = 5.7 ft, Length = 10.5 ft

Step-by-step explanation:

Let the width be \(w\). Then, the length is \(2w-0.9\).

\(w(2w-0.9)=59.85 \\ \\ 10w(20w-9)=5985 \\ \\ 200w^2-90w-5985=0 \\ \\ 40w^2-18w-1197=0 \\ \\ (4w+21)(10w-57)=0 \\ \\ w=5.7 (w>0) \\ \\ \implies 2w-0.9=2(5.7)-0.9=10.5\)

Answer:

the solution is (0,2) to the problem

To find the time until they meet, we can use the formula:
time = distance / speed
It will take 6 hours for Trymaine and Thomas to meet.

In this problem, Trymaine and Thomas are 180 miles apart and traveling towards each other. Thomas is traveling at 19 mph, while Trymaine is traveling at 11 mph. We need to find out how long it will take for them to meet.To find the time until they meet, we can use the formula:
time = distance / speed
To apply this formula, we need to find the total speed of the two cars combined. We can do this by adding their individual speeds:
Total speed = 19 mph + 11 mph = 30 mph
Now we can use the formula to find the time until they meet:
time = distance / speed
time = 180 miles / 30 mph
time = 6 hours

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Answer:

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

From the question

Density = 0.789 g/mL

volume = 200 mL

Substitute the values into the above formula and solve for the mass

That's

mass = 0.789 × 200

We have the final answer as

Hope this helps you

If the expression is  10x2-18x-4.:

a. The greatest common factor of the expression 10x^2 - 18x - 4 is 2.

b. The expression 10x^2 - 18x - 4 can be factored completely as: 10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

C.  the factoring from Part B is correct.

Part A: To find the greatest common factor of the expression 10x^2 - 18x - 4, we need to find the largest factor that divides all three terms of the expression evenly. One way to do this is to factor out the greatest common factor using the distributive property.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Now, we need to factor the expression inside the parentheses further to see if we can find any additional common factors.

5x^2 - 9x - 2 can be factored using the quadratic formula, but it does not have any common factors other than 1.

Therefore, the greatest common factor of the expression 10x^2 - 18x - 4 is 2.

Part B: To factor the expression completely, we can start by using the greatest common factor of 2.

10x^2 - 18x - 4 = 2(5x^2 - 9x - 2)

Next, we need to factor the expression 5x^2 - 9x - 2 further. We can use the factoring method of product and sum:

The product of 5 and -2 is -10, and the sum of the factors that multiply to -10 and add to -9 is -10 and 1.

So, we can write 5x^2 - 9x - 2 as:

5x^2 - 10x + x - 2

= 5x(x - 2) + 1(x - 2)

= (5x + 1)(x - 2)

Therefore, the expression 10x^2 - 18x - 4 can be factored completely as:

10x^2 - 18x - 4 = 2(5x + 1)(x - 2)

Part C: To check our factoring from Part B, we can multiply the factors using the distributive property and simplify:

2(5x + 1)(x - 2) = 2(5x)(x) + 2(5x)(-2) + 2(1)(x) + 2(1)(-2)

= 10x^2 - 20x + 2x - 4

= 10x^2 - 18x - 4

Therefore, the factoring from Part B is correct.

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Answer:

Its x=6

Step-by-step explanation:

I graphed it on mathaway

B. 31

C. 0

Note that:

Whole numbers are positive integers (counting numbers) and zero

They are numbers from zero and above that are neither decimal nor fractions

The whole numbers among the options are 31 and 0

There are 6 pennies in a total of 150 coins.

Given that,

Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.

and also,

For every penny, there are five dime.

Total = 150 coins

Out of it, 90 are quarters so the remaining coins are 60

It is said that,

In that 60 coins 40% are nickels which means

40% of 60 is 24

So remaining coins are 36 (by subtracting 24 from 60)

It is said that there are 5 dimes for every penny which means

Using Algebra,

x + 5x = 36

6x= 36

x= 6

Therefore, there are 6 pennies in a total of 150 coins.

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2 2/6 times 3 is 7. Hope that helps!!

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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The main factor used to judge the quality of a systematic review (SR) is D. The soundness of the methodology used to conduct it.

A systematic review aims to provide a comprehensive synthesis of available evidence on a specific research question by identifying, evaluating, and summarizing all relevant studies. The quality of a systematic review is heavily dependent on the rigor and transparency of the methodology employed. A well-conducted SR follows a predefined protocol, which includes a clear research question, eligibility criteria for study inclusion, and a comprehensive search strategy.

While the reputation of the professional association that distributes the SR (option a) and the number of studies included in the analysis (option b) can provide some insights into the review's credibility and comprehensiveness, they are not the main factors in judging the SR's quality. Similarly, the use of statistics to combine the findings (option c) is an important aspect of a systematic review but is not the primary factor to determine its quality.

In conclusion, the soundness of the methodology used to conduct a systematic review is the most critical factor in determining its quality. A rigorous and transparent methodology ensures that the review's findings are reliable, valid, and can inform decision-making and policy development. Therefore, the correct option is D.

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Answer:

B= 26°

b≈4

c≈8.2

those are the answer's

Answer:

Hem6, A = 59°, b = 14, c = 27

Step-by-step explanation:

Hem6, A = 59°, b = 14, c = 27

not much to explain

Answer: I think it’s d

Step-by-step explanation:

Answer:

Step-by-step explanation:

We need the other function given by the graph first

(a) Partial derivatives: ∇F = exsin(y)ln(z)i^ + excos(y)ln(z)j^ + exsin(y)/zk^

(b) Divergence: ∇⋅v = y + 2z + 3x.

(a) To find ∇F for F(x, y, z) = exsin(y)ln(z), we need to find the partial derivatives of F with respect to x, y, and z.

∂F/∂x = exsin(y)ln(z)

∂F/∂y = excos(y)ln(z)

∂F/∂z = exsin(y)/z

Therefore, ∇F = (∂F/∂x)i^ + (∂F/∂y)j^ + (∂F/∂z)k^

= exsin(y)ln(z)i^ + excos(y)ln(z)j^ + exsin(y)/zk^

(b) To find ∇⋅v for v(x, y, z) = xyi^ + 2yzj^ + 3xzk^, we need to find the divergence of v.

∇⋅v = (∂/∂x)(xy) + (∂/∂y)(2yz) + (∂/∂z)(3xz)

= y + 2z + 3x

Therefore, ∇⋅v = y + 2z + 3x.

(a) In part (a), we use the definition of the gradient operator to find ∇F. The gradient of a scalar function is a vector that points in the direction of the steepest increase of the function. By finding the partial derivatives of F with respect to each variable, we obtain the components of the gradient vector.

(b) In part (b), we use the definition of the divergence operator to find ∇⋅v. The divergence of a vector field measures the rate at which the field spreads out or converges at a given point. By finding the partial derivatives of each component of v with respect to their respective variables and summing them, we obtain the divergence of v.

The gradient and divergence operators are important concepts in vector calculus that have applications in various fields such as physics and engineering. They help us analyze and understand the behavior of vector fields and scalar functions in three-dimensional space.

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Answer:

y

=

−

3

2

x

+

13

Explanation:

First write it using point-slope form:

y

−

7

=

−

3

2

(

x

−

4

)

Now simplify to slope-intercept:

Add 7 to each side:

y

=

−

3

2

(

x

−

4

)

+

7

Distribute

−

3

2

to each term in the parentheses:

y

=

−

3

2

x

+

6

+

7

y

=

−

3

2

x

+

13

hope I helped you:)

Answer:

\(\pi=\frac{v}{hr^2}\)

Step-by-step explanation:

So we have:

\(v=\pi r^2h\)

And we want to solve for π.

First, divide both sides by h:

\(\frac{v}{h}=\pi r^2\)

Now, divide both sides again by r²:

\(\pi=\frac{v}{hr^2}\)

And this is our answer :)

Answer:

\(\frac{v}{r^{2} h} = \pi\)

Step-by-step explanation:

Simply divide both sides by \(r^{2}h\) to get pi by itself.

By using linear equation, it is obtained that 218 minutes of phone call cost $100

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here linear equation is used

A long-distance telephone call from Center City to Smithville costs $3.25 for the first 3 minutes and $0.45 for each additional minute

Let the total time for the telephone call be t minutes

So total cost for t minutes telephone talk = $(3.25 + 0.45(t - 3))

By the problem,

3.25 + 0.45(t - 3) = 100

3.25 + 0.45 t - 1.35 = 100

1.9 + 0.45 t = 100

0.45 t = 100 - 1.9

0.45 t = 98.1

t = 218 minutes

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To find the average rate of change in revenue R(x) as x increases from 13 to 26 units, we need to calculate the difference in revenue divided by the difference in units.

First, let's find the revenue at x = 13 units:

R(13) = 46(13) - 0.01(13)²

= 598 - 1.69

= 596.31 dollars

Next, let's find the revenue at x = 26 units:

R(26) = 46(26) - 0.01(26)²

= 1196 - 0.676

= 1195.324 dollars

Now, we can calculate the average rate of change:

Average rate of change = (Change in revenue) / (Change in units)

= (1195.324 - 596.31) / (26 - 13)

= 599.014 / 13

≈ 46.08 dollars per unit

Therefore, the average rate of change in revenue as x increases from 13 to 26 units is approximately $46.08 per unit.

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Answer:

23% decrease

Step-by-step explanation:

:)