The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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Answer:

r≈0.5m

Step-by-step explanation:

she was right

Answer:

r≈0.5m

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Answer

seventytwo

Step-by-step explanation:

there 60 minute in hour+12+4 becayse 12 lans and 4 hors (correct me ig  im wrong)

Answer:

0.0334

Step-by-step explanation:

(4.575 ÷ 275) × 2

0.0167 * 2

Hope this helps!

Answer:

1.  (12,−5)⋅(5,6)

2. (−5,8)+(2,4)

3. (12,−5)−(5,6)

According to the question, the differential equation for this situation calculated as:

\(\(\frac{{dy}}{{dt}} = -\frac{{11y}}{{2000}}\)\)

To derive the differential equation for this situation, we need to consider the rate of change of the salt content in the tank.

The rate of change of the salt content \((\(\frac{{dy}}{{dt}})\) is influenced by two factors: the rate at which salt enters the tank and the rate at which salt leaves the tank.

The rate at which salt enters the tank is given by the concentration of salt in the incoming water (which is 0 since pure water enters) multiplied by the rate at which water enters the tank (8 L/min).

The rate at which salt leaves the tank is given by the concentration of salt in the tank (y kg) multiplied by the rate at which water drains from the tank (11 L/min).

Therefore, the differential equation for the salt content in the tank is:

\(\frac{{dy}}{{dt}} = (0 \, \text{kg/L} \cdot 8 \, \text{L/min}) - \left(\frac{{y \, \text{kg}}}{{2000 \, \text{L}}} \cdot 11 \, \text{L/min}\right)\)

Simplifying the equation:

\(\(\frac{{dy}}{{dt}} = -\frac{{11y}}{{2000}}\)\)

This is the differential equation for the salt content in the tank as a function of time (t).

Hence, the differential equation for this situation is given by:

\(\(\frac{{dy}}{{dt}} = -\frac{{11y}}{{2000}}\)\)

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The rate of change in Ryan's mileage during these twelve weeks was 16 miles per week.

To find the rate of change in Ryan's mileage during the twelve weeks between the end of March and the total mileage of 492 miles, we need to determine how many miles he walked during this period.

The first step is to subtract Ryan's mileage at the end of March from his total mileage for the year:

492 miles - 300 miles = 192 miles

We know that this 192 miles represents the distance Ryan walked during the twelve weeks between the end of March and the end of the year.

To find the rate of change, we need to divide the change in mileage (192 miles) by the number of weeks it took for Ryan to walk this distance (12 weeks):

192 miles / 12 weeks = 16 miles/week

Therefore, the rate of change in Ryan's mileage during these twelve weeks was 16 miles per week.

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Answer:

About 9 feet

Step-by-step explanation:

I hope this helped :)

Answer: I believe it should stay as "B" but if your solving for "B" this is the answer I believe: "B=Y−x/2" I hope this helps!^^

Step-by-step explanation:

Answer:

14 ft

Step-by-step explanation:

70 times 2 is 140 and 140 divided by 10 is 14

Answer:

The height is 14 ft

Step-by-step explanation:

10 x 14= 140

140 x 1/2 = 70

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

According to the given information ,there still 4 pockets to check .

Then

the possibility that the money will be in the next pocket :

\(=\frac{1}{4}\)

Answer: Answer above me is correct

The probability of a unit falling below the Lower Specification Limit (LSL) and the probability of a unit being above the Upper Specification Limit (USL) is the same when the mean of the distribution is in the middle of the tolerance interval.

In a manufacturing or quality control context, a tolerance interval represents the acceptable range of values for a certain characteristic of a product. The Lower Specification Limit (LSL) defines the lower end of the acceptable range, while the Upper Specification Limit (USL) defines the upper end.

When the mean of the distribution is in the middle of the tolerance interval, it implies that the distribution is symmetric and centered within the tolerance limits. In this scenario, the distribution is balanced around the mean, and the probability of a unit falling below the LSL is equal to the probability of a unit being above the USL.

This equality in probabilities occurs because the distribution is equally distributed on both sides of the mean. As a result, the proportion of units falling below the LSL is the same as the proportion of units exceeding the USL. This balance indicates that the process is centered within the tolerance limits, which is desirable in manufacturing to ensure that both underperforming and overperforming units are equally unlikely.

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Answer:

(4w^2+180w+1800) meters^2

Explanation:

(60+2w) x (30+2w)

1800+120w+4w^2+60w

Combine like terms and rearrange into quadratic equation

4w^2+180w+1800

Don't forget to put your units and since we are talking about area be sure to add your squared symbol

Answer:

D. 135

here are some extra words for fun (and to fill the necessary 20 characters)

The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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A valid conclusion is one that naturally follows from informed, formulated hypotheses, prudent experimental design, and accurate data analysis.

If an argument is invalid, then it must have at least one false premise. If an argument has a conclusion that is certainly false, then the argument must be invalid. If the premises and conclusion are all false, the argument must be invalid.

A biased sample occurs when the group selected for a statistical study or survey is not random and doesn't properly represent the larger population. This is a result of sampling bias which occurs when the sample of the population is not representative of the population at large.

If an overestimate or underestimate does happen, the mean of the difference is called a “bias.” In more mathematical terms, an estimator is unbiased if: That's just saying if the estimator (i.e. the sample mean) equals the parameter (i.e. the population mean), then it's an unbiased estimator.

Cohort studies are an appropriate study design when: (1) there is good evidence to suggest an association between an exposure and an outcome (perhaps through prior cross-sectional studies); (2) the interval between exposure and development of the outcome is relatively short to minimize loss to follow-up; and (3) the outcome is not too rare (so that the size of the cohort is reasonable).

Hence,

No actual study was done, only observation.

From the above explanation, we can say that

The conclusion drawn from the study is not valid because the sample is Biased.In this instance, an inappropriate study was conducted

Answer:

a(x) = √x+3

Step-by-step explanation:

i graphed it on desmos

The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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The condition of equal variance, also known as homoscedasticity, assumes that the variability of the residuals is constant across all levels of the predictor variable. This means that the spread of the residuals around the regression line should be the same for all values of the predictor.

One way to assess the equal variance assumption is to examine the scatterplot of the residuals against the predicted values. If the plot shows a random pattern with no discernible trend, then the assumption of equal variance is likely met. However, if the plot shows a funnel shape or a pattern where the spread of the residuals increases or decreases as the predicted values increase, then the assumption of equal variance may not be met.

Second, the condition of equal variance (homoscedasticity) is an assumption in regression analysis, where the variability of the response variable remains constant across the range of the predictor variable. When this condition is not met, it is called heteroscedasticity.Lastly, to identify a scatterplot that exhibits heteroscedasticity, look for a plot where the data points exhibit a pattern, such as a widening or narrowing spread, as you move along the x-axis.

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Answer:

  (-5x +y +1)(5x -y +1)

Step-by-step explanation:

You want the factored form of 1-25x²+10xy-y².

We recognize the last three terms as those of a perfect square trinomial:

  25x² -10xy +y² = (5x -y)²

Using this form for the last three terms, we see the given expression is the difference of squares. It can be factored as such.

  1 -(5x -y)² = (1 -(5x -y)(1 +5x -y)

  = (-5x +y +1)(5x -y +1)

__

Additional comment

The forms we used here are ...

  (a -b)² = a² -2ab +b²

  a² -b² = (a -b)(a +b)

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The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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The ratio of c:d:e is 1:3:2.

To find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.

A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.

You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.

It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.

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Answer:

52⁰

Step-by-step explanation:

these three figures are similar and thus their angles are the same

Answer:

36 points

Step-by-step explanation:

3x14 = 42

1x6 = 6

42-6 = 36

Hope that helps

Answer:

54 hope this helps

The wrapping paper Marcus have left is 5 5 / 12 feet.

Marcus buys 7 3/4 feet of wrapping paper. He lets his sister use 2 1/3 feet of the wrapping paper to wrap a gift.

The amount of wrapping paper Marcus have left can be calculated as follows:

The amount of wrapping paper Marcus have left is the subtraction of the paper used by the sister by the wrapping paper he had initially.

Hence,

wrapping paper Marcus have left = 7 3 / 4 - 2 1 / 3

wrapping paper Marcus have left = 31 / 4 - 7 / 3

wrapping paper Marcus have left = 93 - 28 / 12

wrapping paper Marcus have left = 65 / 12

Therefore,

wrapping paper Marcus have left = 5 5 / 12 feet

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Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate          you need to divide by 100 to get it in decimal form

t = time, in years        if you are given a partial year, divide the months by 12

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075        Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

The $13,200 amount should be invested in the 7.5% bond.

It is required to what amount should be invested in the 7.5% bond.

What is simple interest ?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest.

We know that,

I = P * r * t

P = $12,000                                    

r = 7.5% = .075                                    

t = 1                                                  

I = $990

So to ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075    

Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

Therefore, $13,200 amount should be invested in the 7.5% bond.

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