Find the VOLUME of this figure.

Answer:

69

Step-by-step explanation:

For \(2H_2O(l) + 57 kJ < = > H_3O+(aq) + OH-(aq)\)When the temperature of the above system is increased, the equilibrium shifts : c. right and Kw increases.

When the temperature of the system represented by the given equation is increased, the equilibrium will shift. The specific direction of the shift can be determined by considering the heat as  a reactant or product in the reaction.

In the given equation, heat is shown as a reactant with a positive enthalpy change (57 kJ). According to Le Chatelier's principle, an increase in temperature favors the endothermic reaction to absorb the added heat. In this case, the equilibrium will shift to the right to consume the excess heat.

As a result of the shift to the right, the concentration of H3O+ and OH- ions will increase, leading to an increase in the concentration of hydronium and hydroxide ions in the solution. Since Kw is the product of the concentrations of these ions (\(Kw = [H_3O+][OH-]\)), an increase in their concentrations will cause an increase in the value of Kw.

Therefore, the correct answer is: c. right and Kw increases.

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Answer:

10 have blue 7 have green blocks and 4 have a blue and green block. but only 10 have just a blue block

For the skate park's visitor count, which follows an approximately normal distribution with an average of 322 visitors per day and a standard deviation of 81 visitors per day, we need to find the probabilities for two scenarios.

a) To find the probability that the number of visitors on one day is less than 200, we can standardize the value using the z-score formula and then find the corresponding probability from the standard normal distribution. Calculating the z-score as (200 - 322) / 81, we find -1.5062. Looking up the corresponding probability from the standard normal distribution, we find that the probability is approximately 0.0659. b) To find the probability that the mean number of visitors over 32 days falls between 300 and 333, we can use the Central Limit Theorem. Since the sample size is relatively large (n = 32) and the original distribution is approximately normal, the distribution of the sample mean will also be approximately normal. We can calculate the z-scores for 300 and 333, standardize them using the standard deviation of the sample mean (81 / sqrt(32)), and then find the corresponding probabilities from the standard normal distribution. The probability will be the difference between these two probabilities.

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Answer:

So... This is it

1. JK = LM, JKM = LMK -> This is given information.

- From this given information, we know:

1. 2 congruent sides

2. 2 congruent angles

Now all we have to do is find one more side to prove SAS triangle congruence.

Next, we notice that the side MK is used by both the triangles we are trying to prove congruent. So we can say "MK = MK" by the reflexive property. (Since they share the same side).

Then, we can say triangle JMK is = triangle LKM because of SAS congruence.

*Please note the = signs I used should be actually congruence signs*

The volume enclosed by the two curves when revolved about the x-axis is \(\(\frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\).\) To find the volume when the area enclosed by the graphs of \(\(y = x^2\)\)and \(\(y = \frac{3}{x^3}\)\) is revolved about the x-axis, we can use the method of cylindrical shells.

First, let's find the points of intersection between the two curves by setting them equal to each other:

\(\[x^2 = \frac{3}{x^3}\]\)

To simplify this equation, we can multiply both sides by \(\(x^3\)\):

\(\[x^5 = 3\]\)

Now, taking the fifth root of both sides:

\(\[x = \sqrt[5]{3}\]\)

So the two curves intersect at \(\(x = \sqrt[5]{3}\)\).

To calculate the volume area enclosed by the graphs of \(\(y = x^2\)\)and \(\(y = \frac{3}{x^3}\)\) is revolved about the x-axis, we need to integrate the circumference of each cylindrical shell multiplied by its height. The height of each shell is the difference in the y-values of the two curves, and the circumference is\(\(2\pi x\)\).

Let's integrate from \(\(x = 0\)\) to \(\(x = \sqrt[5]{3}\)\):

\(\[V = \int_0^{\sqrt[5]{3}} 2\pi x \left(\frac{3}{x^3} - x^2\right) \, dx\]\)

Simplifying this expression:

\(\[V = 2\pi \int_0^{\sqrt[5]{3}} \left(\frac{3}{x} - x^3\right) \, dx\]\)

Integrating each term separately:

\(\[V = 2\pi \left[3 \ln|x| - \frac{x^4}{4}\right]_0^{\sqrt[5]{3}}\]\)

Plugging in the limits of integration:

\(\[V = 2\pi \left[3 \ln|\sqrt[5]{3}| - \frac{\sqrt[5]{3}^4}{4}\right] - 2\pi \left[3 \ln|0| - \frac{0^4}{4}\right]\]\)

Since \(\(\ln|0|\)\)is undefined, the second term on the right side is zero:

\(\[V = 2\pi \left[3 \ln|\sqrt[5]{3}| - \frac{\sqrt[5]{3}^4}{4}\right]\]\)

Simplifying further:

\(\[V = 2\pi \left[3 \ln 3^{\frac{1}{5}} - \frac{3}{4} \cdot 3^{\frac{4}{5}}\right]\]\)

Using the properties of logarithms, we can simplify the first term:

\(\[V = 2\pi \left[3 \cdot \frac{1}{5} \ln 3 - \frac{3}{4} \cdot 3^{\frac{4}{5}}\right]\]\)

\(\[V = \frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\]\)

So the volume enclosed by the two curves when revolved about the x-axis is \(\(\frac{6\pi}{5} \ln 3 - \frac{3\pi}{2} \cdot 3^{\frac{4}{5}}\).\)

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The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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2 multipled by the sum of 3 and 4

Answer:

15

Step-by-step explanation:

3 x 3=9

2 x 2=4

1x1=1

-1x-1=1

9+4+1+1=15

Answer:

15

Step-by-step explanation:

The square of 3 is 3 times 3, so 9.

2 times 2 is 4.

1 times 1 is 1.

-1 times -1 is 1, because the negative cancels out.

So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.

Answer:Part A it has 4

Step-by-step explanation: PartB  (6, 6)  (3, 5)

Answer:

2:7 4:14  10 times original: 20/70

Step-by-step explanation:

if you multiply 2/7 by 10 it is 20/70

Answer:

Q = (4, - 1)

Step-by-step explanation:

DF is the diameter of the circle with center Q.

So, Q is the midpoint of DF.

By mid point formula.

\(Q = \bigg( \frac{1 + 7}{2}, \: \: \frac{3 - 5}{2} \bigg) \\ \\ Q = \bigg( \frac{8}{2}, \: \: \frac{ - 2}{2} \bigg) \\ \\ Q = (4, \: \: - 1)\)

The median, which is $50,000, would be the best measure of the "center" for the annual earnings of workers at the factory.

The median serves as the most accurate indicator of the "center" in this situation. When the data are presented in either ascending or descending order, the median shows the middle value. It is a reliable indicator of a central trend because it is not impacted by extreme values or outliers.

While the mean indicates the arithmetic average and the mode the value that occurs most frequently, both can be impacted by extreme values or skewed distributions. Since the mode is far lower than both the median and mean in this case, it could not be a good indicator of the center.

Therefore, the median, which is $50,000, would be the best measure of the "center" for the annual earnings of workers at the factory.

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The amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

Let the three dimensions(height, length, width) be x, y,z units respectively.

The surface area of the cuboid is given by

\(S = 2(a\times b + b\times c + c\times a)\)

For this case, tissue box is almost cuboid shaped.

Also, its dimensions are given being 8 inches, 3 inches and 3 inches.

Suppose we measure the amount of cardboard needed in terms of area, then, the amount of cardboard needed to make that box(without any whole, full cuboid) is equal to the area of its surface(either outer or inner if we assume 0 inches thickness of cardboard),

Thus, we get:

Amount of cardboard needed = surface area of cuboid box with dimensions 8 by 3 by 3 (in inches)

= \(2(8 \times 3 + 3 \times 3 + 3 \times 8) = 114 \: \rm in^2\)

Thus, the amount of cardboard needed to make a cuboid box of dimensions 8 inch, 3 inches and 3 inches is 114 sq. inches.

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For maximum strength training, it is recommended to perform 1 to 5 repetitions per set, with heavier weights and longer rest periods between sets. This type of training focuses on increasing muscle strength and power.

Maximum strength training is a type of resistance training that is designed to increase muscle strength and power. The number of repetitions per set is an important factor in developing maximum strength, and the recommended range is between 1 and 5 repetitions. For this type of training, heavier weights and longer rest periods between sets are used. This allows the muscles to recover and build strength. During each set, the goal is to lift the weight as fast and explosively as possible, to help increase muscle power. It is important to also keep proper form and technique when performing exercises, as any incorrect movements can result in injury. Maximum strength training should be done with a gradual increase in weight, so that the body can properly adjust to the new load. It is also important to vary the exercises and the intensity level to help the body adapt to the training and to avoid plateaus in progress. To ensure optimal results, it is recommended to consult with a professional trainer or physical therapist.

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When rounding a number to 2 decimal places, we are essentially keeping only the first two digits after the decimal point and discarding the rest. The third digit after the decimal point is the one that affects the rounding decision.

In this case, the number y is rounded to 9.68, which means that the third digit after the decimal point is either 5 or greater than 5. If it is 5 or greater, we round up the second digit after the decimal point. If it is less than 5, we simply truncate the decimal part.

To find the upper bound of y, we need to add 0.005 to 9.68, which is the smallest possible value for the third digit that would cause rounding up:

9.68 + 0.005 = 9.685

Therefore, the upper bound of y is 9.685.

To find the lower bound of y, we need to subtract 0.005 from 9.68, which is the largest possible value for the third digit that would not cause rounding up:

9.68 - 0.005 = 9.675

Therefore, the lower bound of y is 9.675.

Hence, the upper and lower bounds of y are 9.685 and 9.675, respectively.

The solution of the system equation are x = -1 and y = 6.

The solution of the system equation is calculated as follows;

7x + 4y = 17 -------- (1)

3x - 2y = -15 -------- (2)

Solve the equation using elimination method as follows;

3: 21x + 12y = 51   ------ (3)

7: 21x - 14y = -105  ------ (4)

Subtract (3) from (4);

-26y = -156

y = 156/26

y = 6

The value of x is calculated as;

7x + 4y = 17

7x + 4(6) = 17

7x + 24 = 17

7x = 17 - 24

7x = -7

x = -7/7

x = -1

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Answer:

13 hours

Step-by-step explanation:

250= price of airpods

94=what she already has

250-94=156

156÷12=13

she needs to work for 13 hours

hope this helps

Step 1: Find the slope

Slope Formula = (y2 - y1) / (x2 - x1)

Point 1 = (-2, 4)

Point 2 = (-3, 5)

slope = (5 - 4) / (-3 - - 2) = (5 - 4) / (-3 + 2) = (1) / (-1) = -1

Step 2: Find the y-intercept

To find the y-intercept, we will take one of the given points as well as the slope and plug them into slope-intercept form. Then, we will solve for b.

Slope-Intercept Form: y = mx + b

Point = (-2, 4)

Slope = -1

4 = -1(2) + b

4 = -2 + b

b = 6

Step 3: Put it all together

Now that we have the slope and the y-intercept, all that's left to do is plug it into slope-intercept form.

Slope-Intercept Form: y = mx + b

Slope = -1

Y-Intercept = 6

y = -x + 6

Hope this helps!! :)

Answer:

  y = 64√3

Step-by-step explanation:

Step(i):-

Given that the 'y' varies directly as √x

    ⇒ y∝ √x

    ⇒  y = k√x

Put y=3 and x=3

       3 = k ×√3

   √3  k = √3×√3

After cancellation '√3' on both sides, we get

      k = √3

Step(ii):-

   Given that x=64 and k = √3

We have a function   y = k√x ..(i)

substitute x =64 and k = √3 in equation (i)

               y = √3 × 64

             y = 64√3

Answer:

The first/top option

Step-by-step explanation:

First, we can find the inequality that the line is representing. X is the number of hours she has already done, and she has five hours more to do to fulfill the 12 or more hours of required service. The inequality would be x+5≥12.

The minimum that X has to be is 7 because any value lower than 7 would make the inequality false[ ex. 6 + 5 ≠ 12 ]. The arrow would be pointing to the right, because 7 is the minimum value, not the max, so any value higher than 7 would still make the inequality true. Lastly, the circle would be filled, because 7 is included in the set of values that make the inequality true[ 7 + 5 = 12 ].

So, the answer would be the first option.

Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

  (x, y, z) = (7, 9, 90)

Step-by-step explanation:

The two acute angles between l1 and l2 are vertical, so congruent.

  (9x -7) = 8x

  x = 7 . . . . . . . . . add 7-8x

These are supplementary to the obtuse angle between those lines:

  8(7) + (13y +7) = 180

  13y = 117 . . . . subtract 63

  y = 9 . . . . . . . divide by 13

The angle marked z is supplementary to the angle marked as a right angle.

  z + 90 = 180

  z = 90

The number of metres by which each dimension must be increased is 2 metres.

Joan’s rectangular garden is 6 meters long and 4 meters wide. She wishes

to double the area of her garden by increasing its length and width by the

same amount.

Therefore, the number of metres by which each dimension must be

increased can be calculated as follows:

area of the garden = lw

where

Therefore,

area of the garden = 6 × 4

area of the garden = 24 m²

Hence, let's double the area of the garden by increasing the length and width by same amount.

(x + 6)(x + 4) = 24(2)

(x + 6)(x + 4) = 48

x² + 4x + 6x + 24 = 48

x² + 10x + 24 - 48 = 0

x² + 10x - 24 = 0

x² - 2x + 12x - 24 = 0

x(x - 2) + 12(x - 2) = 0

(x + 12)(x - 2) = 0

x = -12 or x = 2

We can only use positive values.

Therefore, the number of metres which each dimension must be increased is 2 metres.

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Answer:

0.5

Step-by-step explanation:

Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =

\( \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5\)

As per the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to

$422.92.

As given in the question,

Loan amount taken from the bank is equal to $35,000

Simple interest rate is 2%

Time period = 8 years

Total interest paid is equal to

= Loan amount × Interest rate × time period

= 35,000 × 2% × 8

= (35,000 × 2 × 8) / 100

= $5600

Total amount to be paid

= Loan amount + Interest amount

= $35,000 + $ 5,600

= $ 40,600

Monthly payment done based on given interest and time period

= $40,600 / ( 8 × 12 )

= $ 40,600 / 96

= $ 422.92

Therefore, for the given data, loan amount is $35,000 with 2% simple interest for the time period of 8 years then monthly payment is equal to $ 422.92.

The complete question is:

Attending the university of Houston main campus ,the bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. How much will your monthly payments be?

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To find the probability of certain events, we can use the concept of combinations. Let's calculate the probabilities for the given scenario:

1. Probability of drawing two black marbles:

  There are 6 black marbles in the bag, so the probability of drawing one black marble on the first draw is 6/10. After removing one black marble, there are 5 black marbles left out of 9 total marbles. So, the probability of drawing a second black marble is 5/9. Since these events occur consecutively, we multiply the probabilities: (6/10) * (5/9) = 1/3.

2. Probability of drawing one black marble and one blue marble:

  Similar to the previous case, the probability of drawing a black marble on the first draw is 6/10. After removing one black marble, there are 4 blue marbles left out of 9 total marbles. So, the probability of drawing a blue marble is 4/9. Since there are two possible orders in which the marbles can be drawn (black first, blue second, or blue first, black second), we multiply the probabilities by 2: 2 * (6/10) * (4/9) = 8/15.

Please note that these probabilities assume that each marble has an equal chance of being drawn and that there is no bias in the selection process.

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b) 52/25

is the right answer