The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 15 cm², find the width.

Answer:

D.) 0.25

Step-by-step explanation:

Because it is not a whole number and decimals don't count as integers

Answer: D-60

Step-by-step explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x    ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x    ....(i)

When both account have the same amount , then

\(80+3.50x=95+3.25x \\\\\Rightarrow\ 3.50-3.25x=95-80\\\\\Rightarrow\ 0.25x=15\\\\\Rightarrow\ x=\dfrac{15}{0.25}\\\\\Rightarrow\ x=60\)

hence, it will take 60 weeks.

The correct option is D-60.

Answer:

26 - 11 = 15

Step-by-step explanation:

Answer:

Answer  for the first question is D

Step-by-step explanation:

^^^^^

Answer:

Kayla and Rachel raised $8.39, Francesca raised $18.89.

Step-by-step explanation:

Knowing that $35.67 is the total amount raised, that Rachel and Kayla raised the same amount (x) each, and that Francesca raised $10.50 more than them (x + 10.50), then the equation would look like:

35.67 = x + x + (x + 10.50)

or

35.67 = 3x + 10.50

From here, you can solve algebraically.

Isolate the variable by subtracting 10.50 from both sides

25.17 = 3x

Then, find X by dividing both sides by 3:

x = 8.39

Knowing that Kayla and Rachel raised $8.39 each, to find Francesca's contribution you can either:

A) Subtract Kayla and Rachel's contributions from the total amount:

     35.67 - 8.39 - 8.39 = 18.89

or

B) Add $10.50 to the amount that Kayla and Rachel raised:

     8.39 + 10.50 = 18.89

Answer:

$81.25

hope it will help

Answer:

Step-by-step explanation:

Speed = 80km/h

Time = 1 min.

Now , 60 min = 1 hr

Therefore , 1 min = 1/60 hr

Hence , Time ( in hrs ) = 1/60 hr

By using formula ,

Distance = Speed × Time

i.e. 80 × 1/60 = 8/6 = 4/3 = 1.333

Hence , the car would travel a distance of 1.333km .

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.

Therefore the answer is c)  reaction is at equilibrium.

Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.

It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.

When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.

--The question is incomplete, answering to the question below--

"In which direction will the net reaction proceed.

X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k

for each of these sets of initial conditions?

A) [X] = [Y] = [Z] = 1.0 M

[a] net reaction goes to the left [this one?]

[b] net reaction goes to the right

[c] reaction is at equilibrium"

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Answer:

yes 1/6 is a rational number.

The derivative of cos(2x) is obtained as follows:

[cos(2x)]' = -2sin(2x).

The function in this problem is given as follows:

cos(2x).

The function is a composite function, hence the chain rule is used to obtain the derivative of the function.

The derivatives are given as follows:

Hence the derivative is given as follows:

[cos(2x)]' = -2sin(2x).

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Answer:

1. Addition

2. Cosine Sum Identity

2. Simplify

Step-by-step explanation:

Dont worry abt that

Also here’s the next answers

The required equation of line would be 2y = 5x - 8 which is shown in the given graph.

The slope of a line is defined as the angle of the line.

According to the given figure,

We clearly see that the coordinates of the y-intercept would be (0, -4).

The value of the x-coordinate is 2 when y-coordinate is 1.

Here the line passes through the points (0, -4) and (2, 1).

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]

x₁ = 0, y₁ = -4

x₂ = 2, y₂ = 1

⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]

⇒ y - 1 = (1 - (-4))/(2 - 0 )[x -2]

⇒ y - 1 = 5/2[x -2]

⇒ 2y - 2 = 5[x -2]

⇒ 2y = 5x - 10 + 2

⇒ 2y = 5x - 8

Therefore, the required equation of line would be 2y = 5x - 8 which is shown in the given graph.

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Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

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Parallel lines have the same slope.

We are given the equation of one line: y=-2x+1

Its slope is -2.

The line parallel to the given line has a slope of -2 as well.

Now, we have the slope of the line and a point that it intersects.

All we have to do is use Point-Slope Form:

y-y1=m(-x1)

y-1=-2(x-4)

y-1=-2x+8

y=-2x+9

Therefore, that's the equation of the line.

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A study conducted in 2004 examined the usage of cable television and radio among 10 individuals to determine if there was a significant difference in the average hours spent on each medium. Using a significance level of 0.05, statistical analysis was performed to test for a disparity between the population mean usage of cable television and radio.

The researchers collected data on the number of hours per week spent watching cable television and listening to the radio from a sample of 10 individuals. The objective was to determine if there was a significant difference in the average usage between cable television and radio, considering the increasing competition among various entertainment options.

To test for a difference between the population mean usage for cable television and radio, a statistical hypothesis test was conducted. The significance level (α) of 0.05 was chosen, which means that the results would be considered statistically significant if the probability of obtaining such extreme results by chance alone was less than 5%.

The test compared the means of the two samples, namely the average hours spent watching cable television and listening to the radio. By analyzing the data using appropriate statistical techniques, such as a two-sample t-test, the researchers determined whether the observed difference in means was statistically significant or could be attributed to random variation.

After conducting the hypothesis test, if the p-value associated with the test statistic was less than 0.05, it would indicate that there was a significant difference between the population mean usage of cable television and radio. Conversely, if the p-value was greater than 0.05, there would be insufficient evidence to conclude a significant disparity.

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Answer:

  x=12

Step-by-step explanation:

12+x=-12+3x

-2x=-24

x=12

Answer:

x=12

Step-by-step explanation:

12+x=-3(4-x)

12+x=-12+3x

2x=24

x=12

The required other endpoint coordinates of line segment with one endpoint as (0,2) and a midpoint as (8,-9) is (16,-20).

Let there be line segment AB with mid- point M . We have been given the coordinates of one endpoint and midpoint which are,  

                                    A(0,2)    and  M(8,-9)

We have to find the coordinates of B of the line segment.

We know the formula of midpoint which is given as ,

                             (xm , ym) = [(x1 + x2)/2  , (y1 + y2)/2]       (1)

Where  (xm , ym) are the coordinates of the mid point which are (8,-9) and

              (x1 , y1) = (0,2) are the coordinates of endpoint 1.

Thus we have to find (x2 , y2) coordinates. Putting the required value in equation (1) we get

                        (8 , -9) = [(0 + x2)/2  , (2 + y2)/2]

Therefore,    8 = x2/2                        -9 = (2+y2)/2

                     x2 = 16                           y2 = -20

Hence the required coordinates of the other endpoint is B(16,-20)

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Answer:6

Step-by-step explanation:

Answer:

(123)

Step-by-step explanation:

solve the inequality

n+2<6

n+2-2<6-2

n<4

Then that means that factor representing n are less than 4 which makes it

(123)

a=11

Step-by-step explanation:

b/c a27=16 then both side subtract 27

27-27=16-27then a=11

The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.

In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):

Elasticity of labor = percentage change in quantity / percentage change in wage rate

0.60 = percentage change in quantity / 15 percent

Percentage change in quantity = 0.60 x 15 percent = 9.0 percent

Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.

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The area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.

What is area and perimeter?

The area of a shape or figure is its area, whereas the perimeter of a shape is its outer boundary over a given distance. Area is measured in square units or unit2 while perimeter is measured in the same unit.

The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to determine a rectangle's or square's perimeter.

Radius, r = 8 cm

Perimeter of a circle = 2πr

Perimeter of s quarter circle = 2πr/4 = 1/2πr

Perimeter of Shaded part = 1/2 * 2πr

                                          = 1/2 × 2 × π × 8

                                          = 8πcm.

Area of a circle = 2πr²

Area of quarter circle = 2πr²/4 = 1/2πr²

Area of a square = length ²

Area of Shaded part = Area of Quarter-circle - Area of Square

                                  = 0.5π(8)² - 8²

                                   = 0.5π(64) - 64

Area of Shaded part  = 36.53 cm^2

Hence, the area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.

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The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.

To find the median of a set of numbers, you need to first arrange the numbers in numerical order. The numbers from the given set, arranged in numerical order, are:

1, 3, 4, 6, 8, 12, 13, 23, 25, 26

The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.

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Answer:

0

Step-by-step explanation:

all real numbers are solutions

Answer:

$108.79

Step-by-step explanation:

49.45÷5=9.89

9.89=the cost for 1 video game

9.89×11=108.79

(11=the used video games)

The answer would be $108.79 for 11 used video games.

To determine the sample size needed for estimating the percentage of adults in those states who gamble online with 95% confidence and a margin of error of 5 percentage points, we can use the following formula:

n = (z² * p * q) / E²

where:

n = sample size

z = the z-score corresponding to the desired level of confidence (in this case, 1.96 for 95% confidence)

p = the estimated proportion of adults who gamble online (we do not have a good estimate, so we can use p = 0.5 for maximum variability)

q = 1 - p

E = the margin of error (in this case, 0.05)

Plugging in the values, we get:

n = (1.96² * 0.5 * 0.5) / 0.05²

n ≈ 384.16

Rounding up to the nearest whole number, we get a sample size of 385.

Therefore, to be 95% confident that our estimate of the percentage of adults in those states who gamble online is within 5 percentage points of the true value, we would need to survey at least 385 adults.

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Answer:

79

Step-by-step explanation:

2(2) - 4(2(-1)^2 + 5(-1)) + 3(-1)^2 + 8(2)^3 + 4(-1)

4 - 4 (2 - 5) + 3 + 64 - 4

4 - 4(-3) + 3 + 64 - 4

4 + 12 + 3 + 64 - 4

16 + 3 + 64 - 4

19 + 64 - 4

83 - 4

79

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