Write an equation in Point slope intercept form that is parallel to 2x+3y=4 and passes through the point (1,-4)

Answer:

No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant

Step-by-step explanation:

See above

The appropriate soil media depth for the green roof can be determined, taking into account the WQv requirement and the structural limitations of the rooftop.

a) The WQv represents the volume of water that needs to be managed to meet water quality regulations. To calculate the WQv, the 90% rainfall number (P = 1.2 in) is used. The WQv can be determined by multiplying the rainfall number by the surface area of the rooftop reserved for the green roof (30 ft x 100 ft x 0.4, considering 60% reserved for maintenance access and equipment).

b) The minimum soil media depth needed to meet the WQv can be calculated by dividing the WQv by the product of the soil media porosity (20%) and the drainage layer depth (2 in).

c) Finally, the soil media depth for the green roof design needs to be determined. It should not exceed the maximum allowed soil depth of 1 foot.

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Answer:

Hey there!

The ratio of ducklings to adult ducks is 5:1.

This means for every six ducks, five are ducklings and one is an adult.

If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.

Thus, there are 20 ducklings.

Hope this helps :)

Answer:

20 ducklings.

Step-by-step explanation:

QR has a length of 2√3. According to the given question

HOW TO CALCULATE THE SIDE OF THE SQUARE ?

In order to solve for QR, we need to use the information given to us in the problem and apply some basic geometry concepts.

First, we know that the diagonals of a square are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other in half. This tells us that the length of the diagonal is equal to the square root of two times the length of one of the sides of the square, or d = s√2.

Next, we are given that the midpoint of one of the diagonals is point U, and that US has a length of 3. Because U is the midpoint of the diagonal, we know that SU and UR are equal in length. Let's call this length x.

Now we can use the Pythagorean theorem to solve for x:

(US)²+ (UR)² = (SR)²

3²+  x= (s√2)²

9 + x² = 2s²

We also know that SU and UR are each equal to x, so:

2x² = s²

We can substitute 2x² for s² in the previous equation:

9 + x² = 2(2x²)

9 + x²= 4x²

3x² = 9

x² = 3

x = √3

Now we can use x to solve for the length of QR:

QR = 2x = 2√3

Therefore, QR has a length of 2√3.

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Answer:bellow hope I helped most likely c

Step-by-step explanation:

If 2% per year

480 x 1.02 = 489.6 first year

489.6 x 1.02= 499.392. Second year

499.392 x 1.02 = 509.37984 third year

If 2 % per all 3 years

480 x 1.02 = 489.6 all 3 years

If 2 % per each month

480 x 1.02 = 489.6 first month

489.6 x 1.02 = 499.392 second month

499.392 x 1.02 = 509.37984 third month

509.37984 x1.02 = 519.5674368 forth month

519.5674368 x1.02 =529.958785536 fifth month

529.958785536 x 1.02 =540.5579612467 sixth month

540.5579612467 x 1.02 = 551.3691204716 seventh month

551.3691204716 x 1.02 =562.396502881 eigth month

562.396502881xl x1.02 = 573.6444329386 nineth month

573.6444329386 x 1.02 =

585.1173215974 tenth month

585.1173215974 x 1.02= 596.8196680293 11th month

596.8196680293 x 1.02=608.7560613899 12 months (1 year)

608.7560613899 x1.02 = 620.9311826177 1st month 2nd year

620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year

633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year

646.0168023955 x 1.02 =658.9371384434 4th month 2nd year

658.9371384434 x 1.02= 672.1158812123 5th month 2nd year

672.1158812123 x1.02 = 685.5581988365 6th month 2nd year

685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year

699.2693628132 x1.02 =713.2547500695 8th month 2nd year

713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year

727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year

742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year

756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)

772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year

787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year

803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year

819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year

835.6916189634 x 1.02 =852.4054513427 5th month 3rd year

852.4054513427 x1.02 = 869.4535603696 6th month 3rd year

869.4535603696 x 1.02 =886.842631577 7th month 3rd year

886.842631577 x 1.02= 904.5794842085 8th month 3rd year

904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year

922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year

941.1244953706 x1.02 = 959.946985278 11th month 3rd year

959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)

Given the polynomial function is g(x) = 3x⁷ - 2x⁶ + 5x⁵ + x⁴ + 9x³ - 60x² + 2x - 3, and the given value is x = -2. We have to use synthetic division to find out the quotient of g(x) by (x + 2).

Before using the synthetic division method, we have to put the coefficient of each power of x in the order of descending powers of x.To do so, we have to rearrange the polynomial as: g(x) = 3x⁷ - 2x⁶ + 5x⁵ + x⁴ + 9x³ - 60x² + 2x - 3 = 3x⁷ - 2x⁶ + 5x⁵ + x⁴ + 9x³ + 0x² + 2x - 3.

We can now use synthetic division to evaluate g(x)/(x + 2).The following steps show how to divide using synthetic division:As shown in the above image, the remainder is 1 and the quotient is 3x⁶ - 8x⁵ + 21x⁴ - 43x³ + 85x² - 170x + 341. Therefore, the quotient of g(x) by (x + 2) is 3x⁶ - 8x⁵ + 21x⁴ - 43x³ + 85x² - 170x + 341.

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For men- P(450 < X < 650) = Φ((650 - 550) / 100) - Φ((450 - 550) / 100) = Φ(1) - Φ(-1) ≈ 0.6826. Women- P(325 < X < 475) = Φ((475 - 400) / 75) - Φ((325 - 400) / 75) = Φ(1) - Φ(-1.067) ≈ 0.7422

To answer this question, we can use the normal distribution formula and technology such as Excel or statistical software. For men, the distribution of bladder volumes is approximately normal with a mean of 550 ml and a standard deviation of 100 ml. We can calculate the probability of a man having a bladder volume between two values using the formula:

P(a < X < b) = Φ((b - μ) / σ) - Φ((a - μ) / σ)

where Φ is the standard normal cumulative distribution function, μ is the mean, and σ is the standard deviation.

For example, the probability of a man having a bladder volume between 450 and 650 ml is:

P(450 < X < 650) = Φ((650 - 550) / 100) - Φ((450 - 550) / 100) = Φ(1) - Φ(-1) ≈ 0.6826

For women, the distribution of bladder volumes is approximately normal with a mean of 400 ml and a standard deviation of 75 ml. We can use the same formula to calculate the probability of a woman having a bladder volume between two values.

For example, the probability of a woman having a bladder volume between 325 and 475 ml is:

P(325 < X < 475) = Φ((475 - 400) / 75) - Φ((325 - 400) / 75) = Φ(1) - Φ(-1.067) ≈ 0.7422

In conclusion, using the normal distribution formula and technology, we can calculate the probability of a person having a bladder volume within a certain range given the mean and standard deviation of bladder volumes in men and women.

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To distribute 33 treat to her 6 dogs Ariana has 1947792  ways

Since the order of distribution doesn't matter we will apply concepts of combination.

combination = nCr =n!/(r!(n-r!)

where n is the total number of objects

r is the number of chosen objects from the total.

Here, 33C6 =36!/6!.30!

= 36x35x34x33x32x31/6x5x4x3x2

1947792

Therefore, Ariana can distribute 33 treats between her 6 dogs in 1947792 ways.

Combination in mathematics is a way of choosing or distributing selected items from a list of the total set with distinct values. It is used when there is no repetition and order doesn't matter. It can also be depicted as permutation/r!

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Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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Answer: 180 meters

Step-by-step explanation: To solve this we need to find the square root of 3600. 6x6 = 36 so we know the square root is 60. That means that each side of the square lot is 60 meters. If they fence 3 sides they will need to purchase 60x3= 180 meters of fence.

Answer:

(1) The name of your degree certificate is the name of your degree.

(2) The degree is divided into three levels: Bachelor, master and doctor.

Step-by-step explanation:

The wοrd "unabated" is used in Narrative οf the Life οf Frederick Dοuglass, An American Slave.

The wοrd "unabated" in this cοntext can be interpreted tο mean "cοntinuing withοut any reductiοn in intensity οr strength." "That cheerful eye, under the influence οf slavery, swοre red with rage; that vice, made all οf sweet accοutrement, changed tο a οne οf harsh and hοrrid discοrd; and that angelic face gave way tο that οf a demοn."

The authοr is describing hοw the slavehοlder's pοwer οver the slaves cοrrupts the wοman's character, turning her previοusly kind demeanοur intο οne οf rage and discοntent. The wοrd "unabated" emphasises hοw persistent and unyielding this transfοrmatiοn is and hοw unlikely it is that it will diminish.

By examining the surrοunding text and cοmmοn usage, I was able tο determine the definitiοn οf the wοrd "unabated." In this sentence, the authοr's descriptiοn οf the slavehοlder's transfοrmatiοn is well-suited tο the wοrd "unabated," which is generally used tο describe sοmething that cοntinues withοut any lοss οf intensity οr strength.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

\(\sqrt{49}\) = 7 * Since 7 times 7 equals 49

Answer:

Stickers given by Harry = 50

Step-by-step explanation:

Given that:

Number of stickers = 300

Ratio of Harry's stickers to Gary's stickers = 7:3

Let,

x be the number of times.

7x+3x= 300

10x = 300

Dividing both sides by 10

\(\frac{10x}{10}=\frac{300}{10}\\x=30\)

Harry's stickers = 7(30) = 210

Gary's stickers = 3(30) = 90

New ratio of Harry's stickers to Gary's stickers = 8 : 7

8x + 7x = 300

15x = 300

Dividing both sides by 15

\(\frac{15x}{15}=\frac{300}{15}\\x=20\)

Harry's new number of stickers = 8(20) = 160

Gary's new number of stickers = 7(20) = 140

Stickers given by Harry = 210 - 160 = 50

Hence,

Stickers given by Harry = 50

There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

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Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit

Answer:

df

Step-by-step explanation:

df

Answer:

7.5 , 10.5 , 12 , 16.5 , 28.5 are the sides of Larger polygon Step-by-step explanation: The sides of a polygon have lengths 5,7,8,11 and 19 cm Perimeter ...

Missing: left ‎off

Step-by-step explanation:

thats it

Debate writing on "Boarding school is better than day school" .

Ladies and gentlemen, esteemed judges, and fellow participants, I stand before you today as the principal speaker in support of the motion that "Boarding school is better than day school." As the leader of this debate competition held at our esteemed school, I firmly believe that boarding schools offer unique advantages and foster an environment conducive to holistic development.

First and foremost, boarding schools provide a structured and disciplined environment for students. Living on campus instills a sense of responsibility, independence, and self-discipline among students. The daily routines, rules, and regulations ensure that students learn valuable time management skills and develop a strong work ethic. With a structured schedule, students are able to balance their academic pursuits with extracurricular activities, enabling them to explore their talents and passions to the fullest.

Boarding schools promote a diverse and inclusive community. Students from various backgrounds come together, fostering a rich cultural exchange and encouraging acceptance of different perspectives. The constant interaction among students leads to lifelong friendships and the development of essential social skills. Boarding schools create a supportive and close-knit community, where students can rely on each other for academic, emotional, and personal support.

Boarding schools provide ample opportunities for personal growth and character development. Away from the comforts of home, students learn to adapt to new environments, overcome challenges, and become more resilient individuals. Living in a boarding school setting encourages students to develop crucial life skills such as problem-solving, teamwork, and effective communication. These skills not only benefit them academically but also prepare them for the challenges they will face in their future careers and personal lives.

Boarding schools often boast exceptional facilities and resources that enhance the learning experience. Students have access to state-of-the-art libraries, laboratories, sports facilities, and extracurricular programs that are not always readily available in day schools. These resources broaden students' horizons and provide them with a well-rounded education that extends beyond the classroom.

In conclusion, ladies and gentlemen, I firmly support the motion that boarding school is better than day school. The structured environment, diverse community, opportunities for personal growth, and exceptional resources make boarding schools an ideal choice for students seeking a comprehensive educational experience. By embracing the advantages of boarding schools, we empower our students to thrive academically, socially, and emotionally. Let us embrace the potential that boarding schools offer and recognize the value they bring to the education system. Thank you.

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The period of the pendulum is the time for one complete cycle of the pendulum of a right swing and a left swing. The value of the length of the pendulum is 2 feet.

Given information-

The period of the pendulum is given as,

\(T = 2\pi \sqrt\frac{L}{32}\)

Here L  is the length of the pendulum is feet.

The value of the pi is 3.14.

The period of the pendulum is 1.57 seconds.

Period of the pendulum

The period of the pendulum is the time for one complete cycle of the pendulum of a right swing and a left swing.

The given period of the pendulum is,

\(T = 2\pi \sqrt\frac{L}{32}\)

Put the values,

1.57 = 2 × 3.14 √L/32

1.57 = 6.28 × √1/32 × √L

1.57 = 6.28 × 0.1768 × √L

Solve the equation for L,

√L = 1.57 / 1.11

√L = 1.414

L = 1.414²

L = 2

Thus the value of the length of the pendulum is 2 feet.

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Answer:

26

Step-by-step explanation:

3

Step-by-step explanation:

30÷10 to know how many each person has.God loves you

The standard deviation is provided by this. = 6.7528

Because it aids in comprehending measurements whenever the data is distributed, the standard deviation is significant. The standard deviation of the data will be higher the more evenly distributed the data is.

sample data = ( 32, 41, 36, 24, 29, 30, 40, 22, 25, 37)

To find mean of the given data:

Mean = Sum of items/ Count items

Mean = (32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 / 10)

          = 31.6

now finding the variance:

First we  Add All the sample:

32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37 = 316

make Square of the solution:

316*316 =99856

and multiply by how many items there are. We have 10 items.

=99856/10

= 9985.6

For the time being, put this number aside.

Take your original set of numbers from Step 1 and square each one this time on its own.

32² + 41² + 36² + 24² + 29² + 30² + 40² + 22² + 25² + 37² = 10396

Subtract the sum from Step 2 from of the sum from Step 3.

10396 - 9985.6 = 410.4

The items in someone data set is reduced by 1 by.10 - 1 = 9

Divide the result of Step 4 even by result of Step 5. You get the variation from this.

410.4 / 9 = 45.6

Your response from Step 6 should be squared. The standard deviation is provided by this.

6.7528

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I understand that the question you are looming for is:

For the following sample data, compute the variance and the standard deviation. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37

The 34992÷81

=Answer is 432

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Remember that a population parameter is a number that describes something about an entire group or population.

The only study that states a conclusion about an entire group or population is the one in the first option.

Answer: Option 1

Note that if a tomato has a mass of 100 grams and the mass of the ant is 4.0x10⁻³gram, then the mass of the tomato is 25,000 times greater than the mass of the ant.

The expression for finding the extent to which the Mass of the tomato is greater than that of the ant is given as follows:

100/4.0x10⁻³

= [100 x 10³] / 4.0x10⁻³ x 10³

= 100,000/4

= 25,000

Therefore, the tomato is 25,000 times the mass of the ant.

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Answer:yes 2.5* 10-2

Step-by-step explanation:

The process of finding the value of a numerical or algebraic expression is called evaluation.

Evaluation involves substituting the given values of the variables in the expression and then simplifying the expression using the order of operations (PEMDAS).

For example, if we are asked to evaluate the expression 3x + 2y when x=4 and y=5, we would substitute these values to get 3(4) + 2(5), which simplifies to 12 + 10 = 22. Therefore, the value of the expression 3x + 2y when x=4 and y=5 is 22.

In algebra, evaluation is an important process because it allows us to find the value of an expression for specific values of the variables, which can help us to solve equations or inequalities, and to simplify expressions.

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Lets look at each one:

A. 7x+x+8=16x

This left side will be 8x + 8, so its wrong.

B. x+x+1+1=2x+2

This left side will be 2x + 2, it is right!

C. 5(x+3)=5x+5

This left side will be 5x+15, so its wrong.

D. 9x−18=9(x+2)

This left side will be 9(x-2), so its wrong.

Our answer is going to be B) x+x+1+1=2x+2

x + x = 2x

1 + 1 = 2

2x + 2

I hope this helps! :)