How to calculate the diameter?

The two x-intercepts of the quadratic function are:

x = 8.69

x =  -0.69

Here we want to find the x-intercepts of the function:

f(x) = -x^2 + 8x + 6

Then we need to solve:

0 =  -x^2 + 8x + 6

Using the quadratic formula we will get the solutions:

[tex]x = \frac{-8 \pm \sqrt{8^2 - 4*(-1)*6} }{2*-1} \\\\x = \frac{-8 \pm 9.38 }{-2}[/tex]

Then the two solutions are:

x = (-8 - 9.38)/-2 = 8.69

x = (-8 + 9.38)/-2 = -0.69

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Answer:

NM=5, NL=4.3

Step-by-step explanation:

Radians are multiplied by 180° radians to convert to degrees.

A unit of measurement for angles that is about 57.3°, or the angle covered in the center of a circle by an arc that has the same length as the radius.

Conversion factor between radians and degrees

One radian, or degree, equals 0.01745329252:

1° = π/180°

0.005555556π = 0.01745329252 rad

There are 57.295779513 radians in a degree.

1 rad = 180°/π \s= 57.295779513°

The angle in degrees is equal to the angle in radians times 180 degrees divided by the constant pi: degrees = radians 180° /

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Answer: 13

Step-by-step explanation:

the Price of each rose will be $6.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  Masha buys three roses she will have 7 dollars left.

Let's assume the cost of one rose is "x" dollars.

From the first piece of information, we know that if Masha buys three roses, she will have 7 dollars left.

This can be expressed as:

3x + 7 = Masha's initial amount of money

From the second piece of information, we know that Masha needs to borrow 11 dollars to buy nine roses.

This means that the cost of nine roses is:

9x - 11 = Masha's initial amount of money

Since we know that both expressions represent Masha's initial amount of money, we can set them equal to each other:

3x + 7 = 9x - 11

Subtracting 3x from both sides, we get:

7 = 6x - 11

6x = 18

x =3

Therefore, the Price of each rose will be $6.

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On January 31st, the money invested would have amounted to $10,737,418.

What is meant by investment?

An asset or object acquired with the intention of creating income or recognition is referred to as an investment. The purchase of products that are not consumed right away but will be utilised to create wealth down the road is referred to as an investment in an economic outlook. An investment in finance is a financial asset that is purchased with the expectation that it will either continue to generate income or be sold at a profit at a later date.

Given,

 A penny is invested on January 1.

It doubles each day.

We should find the amount on January 31.

First day = 1

Second day = 2

Third day = 4

Fourth day = 8

So basically if it is the xth day of January, then the amount on that day is 2ˣ⁻¹

Therefore on the January 31st, the money invested would have amounted to

2³¹⁻¹ = 2³⁰ = 1,073,741,824 pennies = $10,737,418.24 = $10,737,418

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Answer:

The correct answer is B. 60 and 64. When y is directly proportional to x, it means that the ratio of y to x remains constant. In this case, when x=6, y=36, which means that the ratio of y to x is 36/6. Since the ratio is constant, we can use that ratio to find the values of y when x=8 and x=10. When x=8, y = (36/6)x8 = 60 and when x=10, y = (36/6)x10 = 64.

The speed of sound in seawater is around 4.46 times faster than speed of sound in air.

Unit conversion is the process of converting the measurement of a given quantity between different units, often by multiplicative conversion factors that modify the value of the measured quantity without altering

its effects.

Speed of sound, the rate at which sound waves move through various substances. Modern estimates of the speed of sound, specifically for dry air at a temperature of 0 °C (32 °F), are 331.29 metres (1,086.9 feet) per second.

Now in the given question ,

speed of sound in air is 1225 km/hr.

speed of sound in sea water = 1520 m/s.

To compare the speed of sound we have to make them in same unit form.

So , we will change speed of sound in air in m/s.

speed of sound in air = 1225 km/hr

                                     [tex]=\frac{1225*1000}{60*60} m/s\\\\=\frac{12250}{36} m/s\\\\=340.28m/s[/tex]

So , it can be clearly seen that speed of sound in air is less than speed of sound in  seawater.

Also , the speed of sound in seawater is around 4.46 times faster than speed of sound in air.

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By the concept of a segment parallel to one side of a triangle divides the other two sides in the same ratio FC is equal 36 in.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other side in the same ratio.

Therefore, From the given information BE/CE = DF/FC.

3/27 = 4/(x - 2).

3(x - 2) = 108.

x - 2 = 36.

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The Cholesky decomposition of the identity matrix is simply the identity matrix itself

The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that

A = LL^T.

When A is the identity matrix I, we have I = LL^T.

Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.

In summary, the Cholesky decomposition of the identity matrix I is I itself.

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The statement that would be true from what we have here would be that opposite angles of a parallelogram are congruent. Option C

A special kind of quadrilateral known as a parallelogram is one in which both sets of its opposite sides are parallel and equal.

PQRS is a parallelogram, therefore.

PQ ≅ RS

QR ≅ PS

Using the SSS criterion, PQR and PQS both equal RSP and RQS.

As a result, since the corresponding angles of congruent triangles are congruent, ∠QPS ≅ SRQ and ∠PQR ≅ ∠RSP.

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The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

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The conversion of the physical quantities 183cm in length to equivalent mass in pounds is 5.435* 10²⁷ lbs.

What is a physical quantity?

A physical quantity is a property of a substance or system that can be measured and quantified. A value, created by multiplying a numerical value by a unit in algebra, can be used to express a physical amount. Every physical characteristic of a substance or system that can be quantified, or measured in numerical terms, is referred to as a physical quantity in physics. Time, length, mass, electric current, thermodynamic temperature, amount of substance, and luminous intensity are the seven base quantities that make up the current SI.

Centimetres(cm) is the unit of length and pounds(lbs) is the unit of mass.

They are physical quantities of a substance.

Both mass and length are not equal to each other but these physical quantities are proportional to each other.

Here we are asked to convert 183cm to lbs.

We know the force between two bodies M and M' is

The ratio of gravitational constant G and the speed of light c can be used as a conversion factor for length to mass.

G/c² = 7.424 * 10⁻²⁸  m/kg

183 cm = 1.83m = 1.83 m / 7.424 * 10⁻²⁸  m/kg = 2.465 * 10²⁷kg

1kg = 2.205 lbs

2.465 * 10²⁷kg * 2.205 = 5.435* 10²⁷ lbs

Therefore the conversion of the physical quantities 183cm in length to equivalent mass in pounds is 5.435* 10²⁷ lbs.

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The conditional of the given statement is;

Option B: Conditional: If an angle is a right angle, then it is not an obtuse angle. True.

Option C: Conditional: If an angle is obtuse, then it is not a right angle. True.

A conditional statement is represented in the form of “if…then”. Let p and q are the two statements, then statements p and q can be written as per different conditions, such as;

p implies q

p is sufficient for q

q is necessary for p

p ⇒ q

By definition, obtuse angles are angles that are greater than 90 degrees.

Right angles are defined as angles that are equal to 90 degrees.

Thus, If an angle is a right angle, then it is not an obtuse angle.

Similarly, If an angle is obtuse, then it is not a right angle.

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The dividend divided by the price is the Dividend yield. The ratio of a company's annual dividend to its stock price.

Dividend Yield:

Dividend yield is expressed as a percentage and is a financial ratio (dividend/price) that indicates how much a company pays in annual dividends as a share price. The reciprocal of the dividend yield is total dividends/net income, which is the dividend payout ratio.

The dividend yield is an estimate of the dividend yield of a stock investment. Assuming dividends don't rise or fall, yields rise when stock prices fall. Conversely, when stock prices rise, they fall. Dividend yields vary with share price, so stocks that are rapidly declining in value may seem unusually high dividend yields.

The formula for dividend yield is as follows:

Dividend Yield = Annual Dividends Per Share/ Price Per Share

​The dividend yield can be calculated based on the financial statements for the past year. This is permitted during the first few months after the company's annual report is issued. However, the more time has passed since the release of the annual report, the less relevant this data is to investors. Alternatively, investors may add the last 4 quarter dividends to reflect dividend data for the last 12 months. It is acceptable to use the dividend numbers that follow, but yields may be too high or too low if the dividend has been recently cut or raised.

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​

(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.To solve this problem, we can use the formula for compound interest:

[tex]$$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$[/tex]

where A is the amount after t years, P is the principal (the amount deposited), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

A = $13,299.23

r = 0.08 (8%)

n = 4 (quarterly compounding)

t = 5 years

We can rearrange the formula to solve for P:

[tex]P = \frac{A}{(1 + \frac{r}{n})^(nt) }[/tex]

Plugging in the values, we get:

[tex]P = \frac{ $13,299.23}{(1 + \frac{0.08}{4} ) ^ {(4*5)} }[/tex]

P ≈ $8,000.32

Therefore, Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.

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The set of all shows for the overall group would be well-defined because it would include all seven shows from the Friday night line-up, ordered from most watched to least watched among all viewers.

A set is well-defined if it is clear which elements belong to the set and which do not. In this case, each set (the set of sitcoms, the set of dramas, and the set of all shows) is well-defined because each show is clearly identified as either a sitcom or a drama and is ordered from most watched to least watched within its respective group (women, men, and overall).

Therefore, each set is well-defined.

For example, the set of sitcoms for the women's group would be well-defined because it would include the four sitcoms from the Friday night line-up, ordered from most watched to least watched among women. Similarly, the set of dramas for the men's group would be well-defined because it would include the three dramas from the Friday night line-up, ordered from most watched to least watched among men.

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We can convert milliliters to microliters by using the formula 1 milliliters = 10⁻³ microliters.

A milliliters (mL) is the unit of volume. One microliters (uL) is also a unit of volume but is it a smaller unit.

We know, Milli is corresponding to 10⁻³.

So, we can write the relation by using the concept of unit conversion.

10⁻³ milliliters = one microliters.

Now, for example, if we have 2 microliters, then it will be equal to 2 x 10⁻³ milliliters .

So, now we have to standard formula and we can use it to find the value of the time in microliters to milliliters and milliliters to microliters.

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The equation is given by 5n + 100n = 210

Peggy has 8 quarters and 2 nickels

Let's call q the number of quarters and n the number of nickels.

If Peggy has four times as many quarters as nickels, we can write the following equation:

q = 4n

Then, each quarter has a value of 0.25 dollars and each nickel has a value of 0.05 dollars, so

0.25q + 0.05n = 2.10

Because she had $2.10. Now, we can replace the first equation on the second one

0.25(4n) + 0.05n = 2.10

1n + 0.05n = 2.10

Finally, we can multiply both sides by 100, so

100n + 0.05(100)n + 2.10(100)

100n + 5n = 210

Therefore, the equation that can be used to solve the problem is

5n + 100n = 210

Now, we can solve the equation for n

105n = 210

105n/105 = 210/105

n = 2

Then, q is equal to

q = 4n

q = 4(2)

q = 8

It means that Peggy has 8 quarters and 2 nickels.

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complete question is listed below:

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?

Which of the following equations could be used to solve the problem?

On+4 n=210

5 n+100 n=210

n+4 n=2.10

5n+100 n=2.10.

The speed of the bullet is 1000 m/s when A 10 kg gun recoils with a speed of 0.1 m/s after it fires a 0.001 kg bullet.

As we know that here gun + bullet system is isolated from all other external force systems

so here the momentum of the system is always conserved

so we will say

m₁v₁i + m₂v₂i = m₁v₁f + m₂v₂f

here we know that

v₁i = v₂i = 0

m₁ = 10kg

m₂ = 0.001kg

v₁f = 0.1m/s

now we will have

0+0  = 10(0.1) + 0.001v₂f

by solving the above equation we will have

v₂f = 1000m/s.

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The correct question is:

A 10 kg gun recoils with a speed of 0.1 m/s after it fires a 0.001 kg bullet. What is the speed of the bullet?

The variance is 0.745

The  standard deviation is 0.863

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

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Answer:

30√5 + 7√2

Step-by-step explanation:

To simplify this expression, we can first use the fact that the square root of a product is equal to the product of the square roots. We can also simplify any perfect squares under the square root sign.

5√180 + 4√18 - √50

= 5√(36 × 5) + 4√(9 × 2) - √(25 × 2)

= 5√36 × √5 + 4√9 × √2 - √25 × √2

= 5 × 6√5 + 4 × 3√2 - 5√2

= 30√5 + 12√2 - 5√2

= 30√5 + 7√2

Therefore, the simplified form of the expression is [30√5 + 7√2.]

The percentage increase in the area of Server A to get the area of the Net Area is 460%.

What is area ?

Area is a measure of the amount of surface a two-dimensional shape or figure occupies. It is usually measured in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²).

a. To find the actual length of the court, we can use the given scale of 1 inch representing 8 feet. From the drawing, the length of the court is approximately 10.5 inches. Therefore, the actual length of the court is:

Actual length = 10.5 inches x 8 feet/inch = 84 feet

b. Receiver A has a length of approximately 2.5 inches and a width of approximately 1 inch. Therefore, the actual dimensions of Receiver A are:

Actual length = 2.5 inches x 8 feet/inch = 20 feet

Actual width = 1 inch x 8 feet/inch = 8 feet

c. The Net Area has a length of approximately 3.5 inches and a width of approximately 2 inches. Therefore, the actual dimensions of the Net Area are:

Actual length = 3.5 inches x 8 feet/inch = 28 feet

Actual width = 2 inches x 8 feet/inch = 16 feet

d. To find the percentage of the area of Server B to the area of Server A, we need to calculate the area of each server. From the drawing, Server A has an area of approximately 2.5 inches x 0.5 inches = 1.25 square inches, and Server B has an area of approximately 1 inch x 1 inch = 1 square inch. Therefore, the percentage of the area of Server B to the area of Server A is:

(Area of Server B / Area of Server A) x 100%

= (1 square inch / 1.25 square inches) x 100%

= 80%

e. The perimeter of Receiver B is approximately (1 inch + 2.5 inches + 1 inch + 2.5 inches) = 7 inches, and the perimeter of the Net Area is approximately (3.5 inches + 2 inches + 3.5 inches + 2 inches) = 11 inches. Therefore, the ratio of the perimeter of Receiver B to the perimeter of Net Area is:

Perimeter of Receiver B / Perimeter of Net Area

= 7 inches / 11 inches

= 7/11

f. The area of Receiver B is approximately 2.5 inches x 2.5 inches = 6.25 square inches, and the area of the Net Area is approximately 3.5 inches x 2 inches = 7 square inches. Therefore, the ratio of the area of Receiver B to the area of Net Area is:

Area of Receiver B / Area of Net Area

= 6.25 square inches / 7 square inches

= 0.893

g. Receiver B and Net Area are not similar rectangles, as they have different dimensions.

h. To find the percentage increase in the area of Server A to get the area of the Net Area, we can calculate the area of Server A and the Net Area, and then find the percentage increase. From the drawing, Server A has an area of approximately 1.25 square inches, and the Net Area has an area of approximately 7 square inches. Therefore, the percentage increase in the area of Server A to get the area of the Net Area is:

[(Area of Net Area - Area of Server A) / Area of Server A] x 100%

= [(7 square inches - 1.25 square inches) / 1.25 square inches] x 100%

= 460%

Therefore, The percentage increase in the area of Server A to get the area of the Net Area is 460%.

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By using the current exchange rate for converting "Japanese Yen" to "US Dollar" , 500000 Yen is = 3729.12 USD .

To convert the amount of 500000 YEN to USD, we use the current exchange rate between the currencies  "Japanese Yen" and the "US Dollar" .

The exchange rate varies constantly due to fluctuations in the global financial markets ,

The current exchange rate of 1 US Dollar = 134.08 Japanese Yen  ,

We have to convert the amount 500000 yen to USD by dividing 500000 by 134.08  ;

⇒ 500000/134.08 = 3729.1169 USD ;

≈ 3729.12 USD .

Therefore, 500000 Japanese yen is approximately equal to 3792.12 US Dollars .

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Answer:

86.1825503

Step-by-step explanation:

190lbs to kg is 86.1825503

C is the correct answer. If there is a total of 399 pages, adding the pages she has left to the pages she has already read (266 pages) it would equal the total, that she has to read 133 pages still.

High temp ≥ Low temp + difference

High temp ≥ -8°F + 35°F

High temp ≥ 27°F

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

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Answer:

y^2 - 5y = 750

Step-by-step explanation:

If length = y

then width = y - 5

Area = length x width

= y(y-5) = 750

Or, y^2 - 5y = 750

This equation can be further solved as follows:

y^2 - 5y - 750 = 0

Or, y^2 - 30y + 25y - 750 = 0

Or, y(y - 30) + 25(y - 30) = 0

Or, (y + 25)(y-30) = 0

So, there are two possibilities:

If (y + 25) = 0

then y = -25

but value of length cannot be negative,

Let us look at second possibility

If (y - 30) = 0

then y = 30

So, length = 30 feet

Check Answer:

Length = 30 feet

so, width = 30 - 5 = 25 feet

so, area  = 30 x 25 = 750 square feet

The man has to pay Rs 9,000 as Ushr for 80 tons of apples

Multiplication is a basic arithmetic operation that involves combining equal groups or adding the same number repeatedly. It is represented using the multiplication symbol × or the asterisk *.

To calculate the Ushr, we first need to convert the weight of the apples from tons to kilograms, since the price is given in rupees per 40 kg:

80 tons = 80,000 kg

Next, we need to find out how many 40-kg units are in 80,000 kg:

80,000 kg / 40 kg = 2,000 units

Therefore, the man sold his apples in 2,000 units of 40 kg each. To find the total revenue frm the sale, we need to multiply the price per unit by the number of units:

2,000 units x Rs 1800/40kg = Rs 90,000

The Ushr is typically calculated as one-tenth of the total revenue, so in this case:

Ushr = 1/10 x Rs 90,000 = Rs 9,000

Therefore, the man has to pay Rs 9,000 as Ushr.

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