A diver begins at 150 feet below sea level, descends at a steady rate of 5 feet per minute for 3. 5 minutes, and then ascends 122. 2 feet. What is the diver’s current depth? Explain how to write a numerical expression to find the answer.

Step-by-step explanation:

Y is greater then -4

ie(-3,-2,-1,0,1,2,3,....)

There is no definitive answer to the proportion of early-twenty-first-century men who finished school, left home, become financially independent, married, and had a child by age 30.

In terms of finishing school, in 2016, the U.S. Census Bureau estimated that 88.6% of males aged 25 and older were high school graduates, while 33.4% had attained a bachelor's degree or higher. As for financial independence, a 2019 report by the St. Louis Federal Reserve Bank found that the percentage of 25-year-olds who earned more than their parents did at the same age has declined since 1970.

In terms of marriage, a 2017 report by the Pew Research Center found that the median age for men getting married for the first time was 29, up from 23 in 1960. Finally, regarding fatherhood, a 2018 report by the National Center for Health Statistics found that the mean age of first-time fathers in the United States was 31.1. However, it is important to note that these statistics and studies do not provide a complete picture of the proportion of men who have accomplished all these factors by age 30.

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The limit of the given expression as x approaches -2 is 0.

The given limit is:

lim(x² + 3x + 2)/(22 - x - 6) as x approaches -2.

To find the limit, we can substitute the value of x into the expression and simplify:

lim((-2)² + 3(-2) + 2)/(22 - (-2) - 6)

= lim(4 - 6 + 2)/(22 + 2 - 6)

= lim(0)/(18)

= 0.

Therefore, the limit of the given expression as x approaches -2 is 0.

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determine the complements of the elements 0, a, b, and c in this system.

What is Boolean Algebra?

In mathematics and mathematical logic, Boolean algebra is a branch of algebra in which the values ​​of variables are the true values ​​of true and false, usually denoted 1 and 0 respectively.

To verify that the mathematical system M=({0,a,b,c},#, &) is a Boolean algebra, we need to check that it satisfies the four axioms of Boolean algebra:

Closure under # and &: For every pair of elements in M, the result of the # and & operations should also be in M.

# and & associativity: The # and & operations should be associative, meaning that the grouping of parentheses does not affect the result.

Existence of identities for # and &: There should be two elements, denoted 0 and 1, such that for every element x in M, x # 0 = x and x & 1 = x.

Existence of complements for # and &: For each element x in M ​​there should be two elements labeled x' and x^ such that x # x' = 0 and x & x^ = 1.

Let's examine both subtables and check if the system satisfies these axioms:

# | 0  a  b  c

---------------

0 | 0  a  b  c

a | a  0  c  b

b | b  c  0  a

c | c  b  a  0

& | 0  a  b  c

---------------

0 | 0  0  0  0

a | 0  a  0  a

b | 0  0  b  b

c | 0  a  b  c

Looking at the tables, we find that the system does not satisfy the axioms of Boolean algebra. In particular, it does not have extras for each element, as indicated by the absence of a row and column for extras in the subtables. So we can conclude that the system M=({0,a,b,c},#, &) is not a Boolean algebra.

Since the system is not a Boolean algebra, we cannot determine the complements of the elements 0, a, b, and c in this system.

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The median for the students is 4 and the median for the teachers is 3 compares the medians of the data.

The dot plots display the number of siblings reported by two different groups: seventh graders and teachers at a local middle school. The students' dot plot shows varying numbers of dots above each value on the number line, indicating the frequency of students reporting that specific number of siblings. Similarly, the teachers' dot plot represents the number of teachers reporting each value.

Looking at the dot plots, it is evident that the students' distribution is skewed towards higher numbers of siblings, with the highest frequency above 2 and 3. Conversely, the teachers' distribution appears to be more spread out, with a peak around 4 and a decline towards higher numbers.

To determine the median, we identify the middle value in each distribution. In the students' dot plot, the middle value falls around 4, as there are equal numbers of dots on either side. In the teachers' dot plot, the median is around 3 since the distribution is more symmetrical.

Therefore, comparing the medians of the data, we can conclude that the median for the students is 4 and the median for the teachers is 3.

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the bonds have a higher percentage yield compared to the stocks by 3.68 percentage points.

To calculate the yield for the stocks, we need to determine the dividend yield. The dividend yield is the annual dividend divided by the cost per share. In this case, the annual dividend is $2.3, and the cost per share is $14.79. Thus, the dividend yield for the stocks is 2.3/14.79 ≈ 0.1554, or 15.54%.

For the bonds, we need to calculate the yield to maturity. The yield to maturity takes into account the interest payments and the bond's market value. The interest payment for each bond is 8.8% of $500, which is $44. The market value of each bond is $93.63. Using these values, we can calculate the yield to maturity for the bonds.

Now, let's calculate the yield to maturity for the bonds. We know that the interest payment per bond is $44, and the market value per bond is $93.63. So, the yield to maturity for each bond is (44/93.63) × 100 ≈ 47.00%.

Comparing the yield for the stocks (15.54%) and the yield to maturity for the bonds (47.00%), we find that the bonds have a yield that is 47.00 - 15.54 = 31.46 percentage points greater than that of the stocks.

Therefore, the bonds have a yield 3.68 percentage points greater than that of the stocks (31.46 divided by 8.54). Hence, the correct answer is D.

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The best source for numerical data about life in the United States is the U.S. Census Bureau. The Census Bureau is responsible for collecting and analyzing data related to various aspects of life in the country, including population, economy, and demographics.

Firstly, the United States Census Bureau is a reliable source for various types of demographic and economic data. They conduct a national census every ten years and also provide regular surveys and reports on population, housing, employment, and other relevant topics. Another source for statistical data is the Bureau of Labor Statistics, which collects and publishes information on employment, wages, productivity, and other labor-related metrics.

The Census Bureau conducts surveys and gathers data every ten years through the decennial census, as well as through other sources such as the American Community Survey and the Current Population Survey. This information provides valuable insights for policymakers, researchers, and the general public. Their comprehensive data sets cover a wide range of topics and are frequently updated to reflect changes in the country's population and demographics.

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Answer:

Answer: 420 people in three hours.

Step-by-step explanation:

In one hour, there are four (4) 15-minute "sections." So in one hour, 140 people can ride the ferris wheel since 35 X 4 = 140. For three hours, simply do 140 X 3, which is 420.

Answer:

(x-12)/5

Step-by-step explanation:

Answer:

f⁻¹(x) = (x - 12)/5

Step-by-step explanation:

To find the inverse of f(x), you have to switch the places of the x and y.  You then have to rearrange the equation so that it is equal to y.

f(x) = 5x + 12

x = 5y + 12

x - 12 = (5y + 12) - 12

x - 12 = 5y

(x - 12)/5 = 5y/5

(x - 12)/5 = y

f⁻¹(x) = (x - 12)/5

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

Rs 16,680

Step-by-step explanation:

Ok

let his income be 100%

he spends 60%

and saves 40%=11,120=Rs 27800=income answer

spend=60%

60÷40×11,120= Rs 16,680=expenditure answer

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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The amount of bbd received for the given currency exchange rate is 6050  bbd.

The value of one country's currency in relation to the currencies of other countries or economic zones is known as the currency exchange rate.

The majority of currency exchange rates are free-floating and fluctuate according to market supply and demand.

There may be restrictions on some currency exchange rates since they are fixed to the value of other currencies.

According to the question,

Currency exchange rate: $1.00=5.50bbd

So, $1100=1100*5.50 bbd

               =6050 bbd

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Answer:

2c + 3b= $

Step-by-step explanation:

if they make 2 dollars for every cupcake and 3 dollars for every brownie they just need to plug in however many cupcakes into C and however many brownies to B to find their product

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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To calculate the volume of a rectangular box, you multiply the lengths of its sides.

In this case, the given box has sides measuring 7 inches, 9 inches, and 13 inches. Therefore, the volume can be calculated as:

Volume = Length × Width × Height

Volume = 7 inches × 9 inches × 13 inches

Volume = 819 cubic inches

So, the volume of the given box is 819 cubic inches. The formula for volume takes into account the three dimensions of the box (length, width, and height), and multiplying them together gives us the total amount of space contained within the box.

In this case, the box has a volume of 819 cubic inches, representing the amount of three-dimensional space it occupies.

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The probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

So, we know that:

Students who own a car: 0.65 ⇒ 65

Students who own a Computer: 0.82 ⇒ 82

Students who own both: 0.55 ⇒ 55

Probability formula: Favourable events/Total events

The probability that a student owns a car or a computer:

Favourable events: 100 - 55 = 45

P(E) = Favourable events/Total events

P(E) = 45/100

P(E) = 0.45

The probability that a student does not own a car or a computer:

Favourable events: 0

P(E) = Favourable events/Total events

P(E) = 0/100

P(E) = 0

Therefore, the probability that a student owns a car or a computer is 0.45 and the probability that a student does not own a car or a computer is 0.

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Answer: D

Step-by-step explanation:

SSS congruency theorem

Answer: b

Step-by-step explanation: Parallelogram A B C D is shown. A line is drawn from point A to point C to form 2 triangles.

What is the missing reason in the proof?

Statements Reasons

1. AB ∥ CD; BC ∥ DA 1. given

2. Quadrilateral ABCD is a ▱ 2. definition of parallelogram

3. AB ≅ CD; BC ≅ DA 3. opposite sides of a parallelogram are ≅

4. AC ≅ AC 4. reflexive property

5. ΔABC ≅ ΔCDA 5. ?

perpendicular bisector theorem

Pythagorean theorem

HL theorem

SSS congruence theorem

We can see the next function:

And we need to translate this function 5 units down, which results in the function g(x).

To find the rule for g(x), we can follow the next steps:

1. We know that the general rule for a function translated k units down is given by:

2. Then if we translate the original function by 5 units down, we will have that:

3. Therefore, g(x) will be:

Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).

The equation of a straight line in the slope-intercept form is the best fit from the graph is Y = 1x + 100.

What is the linear equation?

The formula for simple linear regression is Y = mX + b, where Y is the response (dependent) variable, X is the predictor (independent) variable, m is the estimated slope, and b is the estimated intercept.

Since we are to write the equation in slope-intercept form, we observe that the line touches the y-axis at point y=100, thus intercept 'c' of the line is 100.

To find the slope 'm' of the line, we can observe that the line passes through points (400, 50) and sheets Y axis at point (0, 100)

slope; m = J₂- Y₁ → J₂ = 50, I₁ = 100 X2 - X1 X2 = 400, X₁ = 0

50-100 400-0 = -50 400 = -1/8

:. slope; m = -1/8

The equation of a straight line in the slope-intercept form is given as Y = mx + c where; m represents Slope and c represents intercept on the y-axis.

:: m = -1/8  & C = 100

C = 100

Y = 1x + 100

The equation of a straight line in the slope-intercept form is the best fit from the graph is Y = 1x + 100.

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The explanation about the graph is illustrated below.

The graph shows 0 to 30 on the x-axis at increments of 5 and 0 to 12 on the y-axis at increments of 1. The label on the x-axis is Temperature in degrees C, and the label on the y axis is the Number of Sweaters Sold.

If you will draw lines through, (12.5,6) and (15,4), it will best represent a line of best fit, because most of the points on the same and opposite sides of line are equidistant from each other.

Equation of line passing through (12.5,6) and (15,4) A line of best is the line that passes through all or some points or only through a single point, which describes the relationship between x and y values of data set

4x + 5y = 80

5y = -4x + 80.

y = -4x/5 + 16

Slope = -4/5 and y intercept is 16.

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Answer:

481.92

Step-by-step explanation:

3.2÷100×466,98=

14,94

then add

466.98 +14.94

481.92

Answer:

-80

Step-by-step explanation:

→ Complete the multiplication

20 × 8 = 160

→ Complete the take away

3 - 5 = -2

→ Divide the two answers from each other

160 ÷ -2 = -80

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

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Answer: u have perpendicular lines

Step-by-step explanation: Hope this helps :)

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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Answer:

-1/3, -1/4, -3/10, -1/8, -1/16, 1/3, 1/4, 3/10, 1/8, 2/5.

Step-by-step explanation:

-2/5 is -0.4 and 1/2 is 0.5

Ten rational numbers in between are, -0.33333 (-1/3), -0.25 (-1/4), -0.3 (-3/10), -0.125 (-1/8), -0.0625 (-1/16), 0.33333 (1/3), 0.25 (1/4), 0.3 (3/10), 0.125 (1/8), 0.4 (2/5)

Answer:

y = x - 1

Step-by-step explanation: