-135.4 + 78 1/2 =___

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

5 1/5

Step-by-step explanation:

you set up the fraction in the division bracket with the denominator staying the same in the final answer. The denominator will go on the inside, and the 5 on the outside.

5 1/5 :)))))))))))))))))))))))))))))))))))))))))))

Answer:

2.0

Step-by-step explanation:

Answer:

the value of f(-5) would equal to -4 as the equation turns into 1/3 (-5 - 7) which allows you to multiply it out.

Answer: Rectangle

Step-by-step explanation:

Answer:

a = 8

b = 5

Step-by-step explanation:

Answer:

that forms a triangle .

.....

Mary's HLV is $2,215,773.95.

Mary's HLV if she works until 70 is $1,611,008.23.

Mary's COE if she works until 75 is $5,130,372.40.

Mary's COE if she works until 70 is $2,985,308.60.

To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.

Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750

Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33

Total personal consumption = 27% x $3,382,820.33 = $914,073.89

Calculate Mary's HLV:

= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89

= $2,215,773.95

Therefore, Mary's HLV is $2,215,773.95.

If Mary works until 70 total after-tax  = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09

Mary's HLV if she works until 70 is $1,611,008.23.

To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:

Calculate Mary's expected earnings in her final year of work:

Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62

Apply a capitalization rate to the expected earnings:

COE = expected earnings in final year / capitalization rate

= $256,518.62 / 0.05

= $5,130,372.40

Therefore, Mary's COE if she works until 75 is $5,130,372.40.

If Mary works until 70, her expected earnings in her final year of work would be:

Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43

Mary's COE if she works until 70 is $2,985,308.60.

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The fraction 1/5 as a percentage is 20 %.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Start by changing the fraction to a decimal by diving the numerator by the denominator 1 divided by 5 Which equals 0.2

Change the decimal to a percent by multiplying it by 100%, or moving the decimal to two places. That gives you 20%.

Another way of thinking about it is multiplying the numerator by 100%, then dividing that by the denominator 100%, 1 divided by 5

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Answer:

I. 33,56,65

Step-by-step explanation:

____________

The probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0539.

To find the probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

- P(X = k) is the probability of exactly k successes,

- n is the number of trials,

- k is the number of successes,

- p is the probability of success in a single trial, and

- C(n, k) is the combination of n choose k.

In this case, n = 12, k can be 0, 1, or 2, and p = 0.59 (the probability of using smartphones in meetings or classes).

Now we can calculate the probabilities for each value of k and sum them up:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = C(12, 0) * 0.59^0 * (1 - 0.59)^(12 - 0)

P(X = 1) = C(12, 1) * 0.59^1 * (1 - 0.59)^(12 - 1)

P(X = 2) = C(12, 2) * 0.59^2 * (1 - 0.59)^(12 - 2)

Calculating these probabilities and summing them up will give us the desired probability that fewer than 3 out of 12 users use their smartphones in meetings or classes.

Let's calculate the probabilities.

P(X = 0) = C(12, 0) * 0.59^0 * (1 - 0.59)^(12 - 0)

Using the combination formula, C(12, 0) = 1, and simplifying the equation:

P(X = 0) = 1 * 1 * (1 - 0.59)^12 = 0.0003159

P(X = 1) = C(12, 1) * 0.59^1 * (1 - 0.59)^(12 - 1)

Using the combination formula, C(12, 1) = 12, and simplifying the equation:

P(X = 1) = 12 * 0.59^1 * (1 - 0.59)^11 = 0.0065294

P(X = 2) = C(12, 2) * 0.59^2 * (1 - 0.59)^(12 - 2)

Using the combination formula, C(12, 2) = 66, and simplifying the equation:

P(X = 2) = 66 * 0.59^2 * (1 - 0.59)^10 = 0.0470972

Now, let's sum up these probabilities to find P(X < 3):

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.0003159 + 0.0065294 + 0.0470972 = 0.0539425

Therefore, the probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0539.

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The sum of two or more distinct elements of the set is 16

What is Sum?

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. There are summations with an infinite number of terms.

Given,

Digits are - 0, 1, 2, 4, 8, 16

To know the number of expression to be created we have to go with a formula which is a - 2 +1

here a will be 16 +1 = 17

There are 17 - 2 + 1 = 16 numbers that can be expressed.

Concept:

Given are two numbers, a, and b, along with a range of numbers between [b, a+b1], where b1 and a>2. Any two numbers in the range, p, and q, can be added to create more numbers, which can then be added to the set. Even after completing these actions an unlimited number of times, how many numbers cannot be generated.

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Answer:

900

Step-by-step explanation:

3*300=900

Answer:

3 x 300=900

brainly me pls

Answer:

80 pages

Step-by-step explanation:

Let's use a ratio to solve:

pages : seconds

   12    :       9

    4     :       3

    \(p\)     :      60

It would seem that \(p\) would equal 80. The printer can print 80 pages in 60 seconds or one minute.

Step-by-step explanation:

FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).

so,

FYT = 180 - 42 1/8 = 137 7/8°

as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.

The values of the variables s and c are 13 and 17, respectively.

We are given a system of two equations. The equations are linear in nature. Each equation represents a straight line. We need to find the solution to the system of linear equations. The coordinates of the intersection point of the straight lines are the solution. The equations are given below.

s + 2c = 47

5s + 8c = 201

We will substitute the value of s from the first equation into the second equation.

s = 47 - 2c

5s + 8c = 201

5(47 - 2c) + 8c = 201

235 - 10c + 8c = 201

235 - 2c = 201

2c = 235 - 201

2c = 34

c = 17

We will substitute the value of c into the first equation to find the value of s.

s = 47 -2c

s = 47 - 2(17)

s = 47 - 34

s = 13

Hence, the values of s and c are 13 and 17, respectively.

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The angle θ lies in Quadrant II.

To determine the quadrant in which θ lies, we need to analyze the signs of the trigonometric functions csc(θ) and cot(θ). The cosecant function (csc) is defined as the reciprocal of the sine function (sin), and the cotangent function (cot) is defined as the reciprocal of the tangent function (tan).

Since csc(θ) is negative, it means that the sine function (sin) is negative in Quadrant II and Quadrant III. However, since cot(θ) is also negative, it implies that the tangent function (tan) is negative in Quadrant II only.

In Quadrant II, both sine (sin) and tangent (tan) are negative, which satisfies the given conditions. In contrast, in Quadrant III, the sine function (sin) is negative but the tangent function (tan) is positive. Therefore, the angle θ must lie in Quadrant II, where both csc(θ) and cot(θ) are negative.

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Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

The height of the pyramid calculated by using trigonometry is 561 feet.

The height of the pyramid can be found using trigonometry.Let's call the height of the pyramid "h". From the first point, we have:

tan(27°40') = h/x

where x is the distance from the point to the base of the pyramid.

From the second point, 193 feet farther back, we have:

tan(19°10') = h/(x + 193)

We can use these two equations to solve for the height "h".

First, we can cross multiply the second equation and subtract it from the first equation to eliminate the x term:

h/x - h/(x + 193) = tan(27°40') - tan(19°10')

Simplifying the right side:

h/x - h/(x + 193) = (tan(27°40') - tan(19°10'))/(1 + tan(27°40')tan(19°10'))

Solving for h:

h = x(tan(27°40') - tan(19°10'))/(1/x + 1/(x + 193))

Since x is unknown, we can use the tangent addition formula to eliminate the x term:

tan(27°40' + 19°10') = (tan(27°40') + tan(19°10'))/(1 - tan(27°40')tan(19°10'))

Substituting this into the equation for h:

h = x(tan(27°40') - tan(19°10'))/(1/x + 1/(x + 193))

= xtan(27°40' + 19°10')/(1/x + 1/(x + 193))

Finally, using the tangent values and x = 193, we find:

h = 193tan(46°50')/(1/193 + 1/(386)) = 193tan(46°50')/0.5027 = 561.3 feet

Rounding to the nearest integer, the height of the pyramid is 561 feet.

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According to the problem, the baker needs to sell $24 worth of baked goods. The equation can be written as:

3x + 1y = 24

Let's define two variables to represent the quantities of loaves of bread and rolls sold by the baker. Let's use 'x' to represent the number of loaves of bread and 'y' to represent the number of rolls.

The cost of one loaf of bread is $3, so the total value of the loaves of bread sold can be expressed as 3x.

The cost of one roll is $1, so the total value of the rolls sold can be expressed as 1y.

According to the problem, the baker needs to sell $24 worth of baked goods. Therefore, the equation can be written as:

3x + 1y = 24

This equation represents the total value of the baked goods sold, where 3x represents the value of the loaves of bread sold, 1y represents the value of the rolls sold, and 24 represents the target value of $24 that needs to be achieved by the end of the day.

By solving this linear equation, we can find the possible combinations of loaves of bread and rolls that will meet the requirement of selling $24 worth of baked goods.

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To prove the statement that 3 divides (n³ + 5n + 6) for any integer n ≥ 20 using mathematical induction, we will show that the statement holds for the base case (n = 20) and then assume it holds for an arbitrary value of n and prove it for (n + 1).

Base case (n = 20):

Substitute n = 20 into the expression (n³ + 5n + 6):

(20³ + 5 * 20 + 6) = 9266

Since 9266 is divisible by 3 (9266 = 3 * 3088), the statement holds for the base case.

Inductive step:

Assume that the statement holds for an arbitrary value of n, denoted as k, i.e., 3 divides (k³ + 5k + 6).

Now we need to prove that the statement holds for (k + 1), i.e., 3 divides ((k + 1)³ + 5(k + 1) + 6).

Expand the expression ((k + 1)³ + 5(k + 1) + 6):

(k³ + 3k² + 3k + 1 + 5k + 5 + 6) = (k³ + 5k + 6) + (3k² + 3k + 6)

By the induction hypothesis, we know that (k³ + 5k + 6) is divisible by 3. Now we need to show that (3k² + 3k + 6) is also divisible by 3.

Factoring out 3 from (3k² + 3k + 6), we get: 3(k² + k + 2).

Since k² + k + 2 is an integer, we conclude that (3k² + 3k + 6) is divisible by 3.

Therefore, the statement holds for (k + 1).

By the principle of mathematical induction, we have shown that the statement "3 divides (n³ + 5n + 6)" holds for any integer n ≥ 20.

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Answer:

The length is 15.71 feet.

Step-by-step explanation:

Answer:

C. For each additional hour of service, the price of the dog walker increases by $10.

Step-by-step explanation:

Hope this helps!

:)

Explanation:

Apply the cube root to 64 to get \(\sqrt[3]{64} = 64^{1/3} = 4\)

The exponent 1/3 is handy if your calculator doesn't have a cube root button.

This wooden cube has side lengths of 4 inches each.

Each square face will have an area of 4^2 = 4*4 = 16 square inches.

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer:

27/30

Step-by-step explanation:

yepyffghhhhgghjj

Answer:

9/10 or 0.9

Step-by-step explanation:

When adding fractions, you look at each of them as an equal number, or a whole.

25+36

91

So, now all we have to do is convert it to it's closest form. (In tenths, since we are adding tenths.)

90

And it would be 9/10, or 0.9

Hope this helps!

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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The cost of broccoli per ounce is $0.06.

The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given  2 pound bag of broccoli costs $1.92,

to find the cost per ounce

we know,

1 pound = 16 ounces

2 pound = 2*16 ounces

2 pound = 32 ounces

cost of 32 ounces = $1.92

cost per ounce = $1.92/32

cost per ounce = $0.06 per ounce

Hence per ounce, the cost is $0.06.

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The Price per ounce is $0.06.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A 2 pound bag of broccoli costs $1.92.

As, 1 pound = 16 ounce

So, the cost of 32 ounce of broccoli is 1.92.

Then, the price per ounce

= 1.92/ 32

= 0.06

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Answer:

scalene

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

1. It is not an isosceles triangle because it requires two equal sides and one distinct one.

2. It is not an acute triangle because it has an obtuse angle inside it.

3. It is not an equilateral triangle because it has all its distinct sides.

4. It is a scalene triangle because the measurements of its sides are different from each other.

Hope this helps.