Mardi received an inheritance of $60,000. she investrf part at 11% and deposited the remainder in tax-free bonds at 12%. her total annual income from the investments was $6800. find the ammount invested at 11%.

The product of three successive integers is represented by the symbol n3 n=(n1)(n)(n+1).

n3 n can be divided by 6.

Consecutive integers are the numbers that follow one another. They go either alphabetically or sequentially. For instance, a series of integers is a group of natural numbers. The term "consecutive" in mathematics refers to an unbroken flow or succession of numbers; hence, a sequence of consecutive integers is one where each following number is one more than the one before it. An array of consecutive integers (or numbers) has an identical mean and median. If x is a positive integer, then x + 1 and x + 2 are likewise positive integers. We shall learn in-depth details regarding formulas, characteristics, illustrations, and the significance.

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Problem 4

Let's define these point locations

Angle DBC is 90 degrees since it covers the upper right quadrant

Angle CBA is 45 degrees

Therefore, angle ABD is 90+45 = 135 degrees.

Check out the diagram below.

=========================================================

Problem 11

x = the unknown angle

angle x and 140 combine to a straight angle (180 degrees)

x+140 = 180

x = 180-140

x = 40

=========================================================

Problem 12

This time the angles add to 90

x+36 = 90

x = 90-36

x = 54

=========================================================

Problem 13

The two angles x and 90 combine to a 120 degree angle

x+90 = 120

x = 120-90

x = 30

Step-by-step explanation:

so, we have a kite here.

a kite is a quadrilateral, that is totally symmetric along one of its diagonals.

the sum of all internal angles of a quadrilateral is always 360°.

remember, the sum of all angles around one point on one side of a line is always 180°.

a full circle airways represents 360°.

the inner angle at 140° is

180 - 140 = 40°

the inner angle at 250° is

360 - 250 = 110°

the inner angles at x and its opposing corner are equal (due to the symmetry) and are in sum with the other 2 inner angles 360°.

so, we have for the inner angles

360 = 110 + 40 + 2×xinner

210 = 2×xinner

the inner angle of x = 105°.

x (the outer angle of the inner angle of x) is

x = 360 - 105 = 255°

The distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

Given: height of helicopter = 300√3 feet from the ground.

To find: Distance between zoo and library.

Finding:

(Refer to the image attached.)

Let the distance from the plane to the zoo and library be d1 and d2 respectively.

Then, with the help of concepts of applications of trigonometry,

[tex]tan(60) = \frac{300\sqrt{3}}{d1}[/tex]

=> [tex]\sqrt{3}=\frac{300\sqrt{3}}{d1}[/tex]

=> d1 = 300 feet

[tex]tan(30) = \frac{300\sqrt{3}}{d2}[/tex]

=> [tex]\frac{1}{\sqrt{3}}=\frac{300\sqrt{3}}{d2}[/tex]

=> d2 = 300 (3) = 900 feet

The distance between zoo and library = d2 - d1 = 900 - 300 = 600 feet.

Hence, the distance between the zoo and library is 600 feet, as seen with the help of concept of applications of trigonometry.

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The comparison of the numbers is that  -√7 is greater than -3.12345....

The numbers are given as:

-√7 and -3.12345....

Using a calculator, we have:

-√7 = -2.6457.....

-2.6457.... is greater than -3.12345....

This means that

-√7 is greater than -3.12345....

Hence, the comparison of the numbers is that  -√7 is greater than -3.12345....

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Answer:

4.50

Step-by-step explanation:

There's 2 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

     1 8

×     2 5

___________________

+     9 0

+   3 6  

___________________

=  4 5 0Rewrite the product with 2 total decimal places.

Answer = 4.50

Therefore:

1.8 × 2.5 = 4.50

Answer:1) An operator is missing in your statement. Most likely the right expression is:

Step-by-step explanation:

              2x

f(x) = -------------

          3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

                                   2x

Limit when x →∞ of ------------

                                3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                     2/∞             0          0

Replace x with ∞ =>  ------------ =  ------- =  ---- = 0

                                   3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

                                       2x

Limit when x → - ∞ of ------------

                                    3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                       2/(-∞)           0            0

Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0

                                     3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity.

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

The function f(x) = 3[tex]x^{5}[/tex] -9 given in the question is neither an even function nor an odd function

The function f(x) = 3[tex]x^{5}[/tex] -9 cannot be an even function because the exponential power is not in the multiples of 2 and there is second step to check whether the function is even function or not if f(x)= f(-x) but this cannot be checked here because it proved not be an even function in the first step itself

The function f(x) = 3[tex]x^{5}[/tex] -9  is odd function only if -f(x) = f(-x)

so lets check f(1)= 3([tex]1^{5}[/tex]) -9 = 3-9 = -6

now f(-1) = 3(-[tex]1^{5}[/tex]) -9 =-3-9=-12

and -f(1) = 6

Hence the function given in the question is neither an even function nor an odd function

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From the two methods to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

We want to find the area of the irregular composite polygon figure. Now, there are two ways to do this which are;

1) To divide the internal part of the irregular polygon into regular shapes and find the respective areas and add up to get the total area.

2) To inscribe the irregular polygon into a regular shape like a rectangle or square, Then divide into regular shapes the external parts of the irregular polygon that share boundary with the bigger regular shape. Then add up the areas and subtract from the area of the big regular shape.

Now, looking at the two options to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

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The time required to work at temperature of75degree celsius is 56.25 minutes

If a machine starts working in 45 minutes at the temperature of 60degree celsius, the amount of time worked at a temperature of 1 degree is expressed as:

Unit rate = 45/60

Unit rate = 0.75degrees celsius/minute

Determine the time it required to work at temperature of 75degree celsius

Time required = 0.75 * 75

Time required = 56.25 minutes

Hence the time required to work at temperature of75degree celsius is 56.25 minutes

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The number of pieces she can cut is 13 and the length of the leftover piece of ribbon is 1/3 feet, by basic algebra.

Given:

To find: Number of pieces of ribbon cut and length of leftover pieces.

Finding:

Let x be the number of pieces of ribbon that can be cut.

Then, according to question, by basic algebra:

2x/3 = 9

=> x = [tex]\frac{27}{2}=13\frac{1}{2}[/tex]

That is, the number of pieces of ribbon that can be cut are 13

The leftover length of ribbon is then given by:

9 - 13 (2/3) = 9 - (26/3) = 1/3

That is, the leftover length of ribbon is 1/3 feet.

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Answer:

Step-by-step explanation:

56/89

To solve the inequality, divide both sides by 9. The solution is a < 5 or (∞, 5)

Tips to solve linear inequalities:

Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis (  or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.

Example:  x ≥ 2 can be written as [2, ∞), while

                x > 0 is written as (2, ∞)

The given problem:

9a < 45

Notice that the variable, a, is already isolated on the left side.  Divide both sides by 9: (Note that the inequality sign is not flipped since 9 is a positive number)

9a : 9 < 45 : 9

a < 5

Using the interval notation, the solution is (∞, 5)

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Answer:

[tex]10\frac{11}{20}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{2} + 3\frac{4}{5} + 1\frac{1}{4}[/tex]

1.Find the LCM(Least Common Multiple).

That would be 20.

2.Multiply so all denominators are equal.

[tex]5\frac{10}{20} + 3\frac{16}{20} + 1\frac{5}{20}[/tex]

3. Add

[tex]9\frac{31}{20}[/tex]

4. Simplify

[tex]10\frac{11}{20}[/tex]

The inverse of y = cos(x) could be a function in domain (A) [0, π].

So, domain of  y =cos(x):

Therefore, domain (A) [0, π]  would allow the inverse of y = cos(x) to be a function.

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The complete question is given below:

Which domain would allow the inverse of y = tan(x) to be a function?

A) [0, π]

B) [0, 2π]

C) (-∞, ∞)

D) [-π/2, π/2]

The mean of distribution will be 60, standard deviation will be 5 and variance will be 24

Given,

The total number of students (n)= 100

The probability of students, completing their homework on time (p)= 60%

= 60 / 100

= 0.6

According to the binomial distribution,

mean = np

= 100 × 0.6

= 60.

Variance = np× (1 - p)

= 100 × 0.6 × 0.4

= 24

Standard deviation = [tex]\sqrt{variance}[/tex]

= [tex]\sqrt{24}[/tex]

= 4.89 or 5

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There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

A vector quantity is average velocity. The change in position and otherwise displacement (x) divided by that of the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity may be either positive or negative depending on the displacement's direction.

The distance covered by the rubber ducks = 1600 miles.

The duration needed to cover this distance = 10 months.

The average ocean speed, according to definition, is

v = (1600 miles)/(10 months)

Now,

1 mile = 1609 m

10 months = (10 months)*(30 days/month) *(24 hours/day)

                 = 7200 hours (approx.)

                 = 7200*3600

                 = 2.592 x 10⁷ s

So that,

ν = [tex]\frac{(1600 \mathrm{~m}) *\left(1609 \frac{\mathrm{m}}{\mathrm{mi}}\right)}{(10 \mathrm{months}) *\left(2.592 \times 10^7 \frac{\mathrm{g}}{10 \mathrm{mon} t h}\right)}[/tex]

   = 0.0993 m/s

Also,

ν = 1600/7200

  = 0.222 mi/h

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

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I understand that the question you are looking for is:

A severe storm on January 10, 1992, caused a cargo ship near the Aleutian Islands to spill 29,000 rubber ducks and other bath toys into the ocean. Ten months later hundreds of rubber ducks began to appear along the shoreline near Sitka, Alaska, roughly 1600 miles away.

What was the approximate average speed of the ocean current that carried the ducks to shore in m/s and in mi/h? (Rubber ducks from the same spill began to appear on the coast of Maine in July 2003.)

Answer:

yes it is

Step-by-step explanation:

because it has the leading power of x as 2

Answer:

Hello,

answer : 259269764699508231

Step-by-step explanation:

We must use permutations with repetitions

Answer:

option C: 69

Step-by-step explanation:

We are to find approximately how many pink flowers are predicted to bloom on a shrub with 40 red flowers. The equation given is: y = 1.73x + 0.0924 and we see that red flowers are on the x-axis and pink flowers are on the y-axis.

Since we know there are 40 red flowers and red flowers are on the x-axis, x = 40. Plug into the equation:

y = 1.73x + 0.0924 where x = 40

y = 1.73(40) + 0.0924

y = 69.2  + 0.0924

y = 69.2924

best answer is C. 69.

The probability of scoring exactly four out of the given six shots is 0.311, calculated using the concept of binomial distribution in probability theory.

What is a Binomial Distribution?

Binomial Distribution in probability theory is defined as getting x number of successes on repetition of trial n times, the formula for binomial distribution is C(n,r) × (p)x × (q)n - r, where p denotes the probability of success and q denotes the probability of failure.

Calculation of the probability of scoring exactly four shots out of six

Let p denote the probability of success and q denote the probability of failure, which is equal to 1 - p.

Using Binomial Distribution, we get,

P(x = r) = C(n,x) × (p)x × (q)n - x

Taking r = 4,

P(x = 4) = C(6,4) × (0.6)4 × (0.4)2

= 6! / (4! 2!) × (0.6)4 × 0.16

= 0.31104

~ 0.311

Hence, the required probability using binomial distribution is 0.311.

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Answer:

c

Step-by-step explanation:

192=4x-12

[tex]f + b = m \\ f + b - f = m - f \\ b = m - f[/tex]

Answer:

42 plants

might be easier to find how many plants are planted in 1 hour then multiply that by 6. In this case, 7 plants will be planted within an hour. So, multiply 7 x 6 to get 42.

The gas mileage in miles per gallon = 44.690mi/gal.

A vehicle's mileage is the number of miles it can drive solely on a single gallon or liter of fuel. They are ready to pay up to $500 more for fuel-efficient vehicles. 3. a noncountable noun.

Subtract the original tachometer reading from either the new one to get the miles traveled first from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's overall kilometers per gallon yield for that driving period will be calculated.

1 km = 0.621371 mi

1 L = 0.264172 gal

calculating that the amount of gas mileage in miles per gallon by multiplying with distance and gas used per miles.

19 km/L = (19*0.621371)/0.264172 mi/gal

= 44.690 mi/gal

the gas mileage in miles per gallon = 44.690mi/gal.

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Applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

When two lines intersect perpendicularly at a point, they form a right angle, which is equal to 90 degrees.

Thus, angle ADC is a right angle. Therefore, angles ADB and BDC are complementary angles. This means that:

m<ADB + m<BDC = 90°

Substitute

3a + 10 + 13a = 90

16a + 10 = 90

16a = 90 - 10

16a = 80

16a/16 = 80/16

a = 5

m<ADB = (3a + 10) = 3(5) + 10 = 25°

m<BDC = 13a = 13(5) = 65°

Thus, applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

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Answer:

To estimate I would either do 6x220 then subtract 6 from that sum

Or you could do 6x200

6x10

6x9

And add that to get your answer but 6x219 is 1314

Step-by-step explanation:

Answer:Your answer would be 11.686

Step-by-step explanation:Please give brainliest if right.

Answer:

The answer is or, should be 11.686

Answer:

spam question

not able to answer

Step-by-step explanatio

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