Hey kid theres no picture for us to see
what is (6)^-3×(6)^-3 using law of exponent?
Answer:
6^-6
Step-by-step explanation:
a^m*a^n = a^m+n
Sophie, Leroy, Jose, and Maddie all work for the same IT company. Match each employee with their type of earned income.
a. Sophie is an independent contractor.
b. Leroy is a salaried employee.
c. Jose works on commission.
d. Maddie is an hourly employee.
1. This employee is paid a specific amount for each hour that they work.
2. This employee does not have payroll taxes withheld from their paycheck.
3. This employee is paid a percentage of all revenue that they generate for the company.
4. This employee will often work 50 hours per week but receives the same amount of pay for the weeks that they only work 40 hours.
Which expression is equivalent to StartFraction 1 Over sine (2 x) EndFraction minus StartFraction cosine (2 x) Over sine (2 x) EndFraction?
tan(x)
–tan(x)
StartFraction 1 Over cosine (x) EndFraction
Negative StartFraction 1 Over cosine (x) EndFraction
Answer:
Tan(x)
Step-by-step explanation:
JUST TOOK THE TEST
tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.
To determine equivalent 1/sin2x - cos2x/sin2x.
tan(x) is tangent of x here, tan is trigonometric operator.
Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)
Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.
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each scatter ot below shows the same data which scatter plot has the most reasonable line of best fit?
Answer: 2nd
plots fit the red line closer than the 1st
Answer:
here's the answer!
Step-by-step explanation:
Which of the following correctly defines a population parameter?
A. a characteristic of the population
B. the difference between the maximum and minimum value of a sample
C. the difference between the maximum and minimum value of the population
D. a characteristic of a sample
The correct answer is A. a characteristic of the population.
A population parameter refers to a specific characteristic
A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.
which expression is a cube root of -2i?
The cube root of -2i,
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
We can represent -2i in polar form as,
r(cosθ + i sinθ)
by computing its magnitude and angle.
The magnitude of -2i is 2
Since the absolute value of any imaginary number is equal to its magnitude.
To find the angle θ,
We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case,
The opposite side is -2 and the adjacent side is 0.
Therefore, we have tanθ = -2/0, which is undefined.
However,
We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.
So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).
Now, we need to find the value of θ/3. Since θ is undefined,
we will represent it as π/2 + 2πn,
where n is any integer.
So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.
Therefore, the cube root of -2i is equal to
⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]
Now put n = 0
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
This is the final form of the cube root of -2i in the required form.
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A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32 to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.
Fill in the blanks with the correct answers.
62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).
The number of days for both Companies to have the same total amount is
6.4 days
Word Problem leading to Algebraic expression
Given Data
Let the total payment be yLet the number of days be xCompany A
Charges per day = $57Flat fee = $32y = 57x+ 32 -----------------1
Company B
Charges per day = $62Flat fee = $0y = 62x + 0-----------------2
Equating 1 and 2 we have
57x+ 32 = 62x+ 0
Solving for x we have
62x-57x = 32
5x = 32
Divide both sides by 5
x = 32/5
x = 6.4 days
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The triangle formed by a 4-foot-tall mail box and its 6-foot shadow is similar to the triangle formed by a utility pole and its 15-foot shadow at the same time of day. What scale factor is used to transform the image of the utility pole triangle from the preimage of the mailbox triangle? Use this scale factor to determine the height of the utility pole.
Answer:
The transformations used were rotations, reflections, and R(–3, –3). After a dilation, the image of P is. P'(4, 12). What is the scale factor of the dilation? 5.The triangle formed by a 4-foot-tall mail box and its 6-foot shadow is similar to the triangle formed by a utility pole and its 15-foot shadow at the same time of day.
Step-by-step explanation:
Write the digit in the ten thousands place. 913,256
Answer: 913,256
6-ones place
5-tens place
2-hundreds place
3- thousands place
1-ten thousands place
9-hundred thousands place
Soooo ur answer is 1, 1 is in the ten thousands place.
Answer: the ten-thousands place is the 5th digit from the left. This digit is 1
Step-by-step explanation:
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
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The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
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A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 3,12,14, 5,and 3 respectively. Using percentages, what are the relative frequencies of the five classes?
the relative frequencies of the five classes in percentages are 8.1% for A, 32.4% for B, 37.8% for C, 13.5% for D, and 8.1% for F respectively.
A frequency table shows the number of occurrences of each class or category in a dataset. To find the relative frequencies of the five classes in percentages, we need to divide the frequency of each class by the total number of observations and multiply by 100.
Here's the calculation:
A: (3 / (3+12+14+5+3)) * 100 = 3 / 37 * 100 = 8.1%
B: (12 / (3+12+14+5+3)) * 100 = 12 / 37 * 100 = 32.4%
C: (14 / (3+12+14+5+3)) * 100 = 14 / 37 * 100 = 37.8%
D: (5 / (3+12+14+5+3)) * 100 = 5 / 37 * 100 = 13.5%
F: (3 / (3+12+14+5+3)) * 100 = 3 / 37 * 100 = 8.1%
So, the relative frequencies of the five classes in percentages are 8.1% for A, 32.4% for B, 37.8% for C, 13.5% for D, and 8.1% for F respectively.
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Arnez Company's annual accounting period ends on December 31. The following information concerns the adjusting entries to be
recorded as of that date
a. The Office Supplies account started the year with a $3,150 balance. During the year, the company purchased supplies for $13.010,
which was added to the Office Supplies account. The inventory of supplies available at December 31 totaled $2.772
b. The Prepaid Insurance account had a $30,624 debit balance at December 31 before adjusting for the costs of any expired coverage
for the year. An analysis of prepaid insurance shows that $22,041 of unexpired insurance coverage remains at year end
c. The company has 15 employees, who earn a total of $2,100 in salaries each working day. They are paid each Monday for their work
in the five-day workweek ending on the previous Friday. Assume that December 31 is a Tuesday, and all 15 employees worked the
first two days of that week. Because New Year's Day is a paid holiday, they will be paid salaries for five full days on Monday, January
6 of next year
d. The company purchased a building at the beginning of this year. It cost $685,000 and is expected to have a $45,000 salvage value
at the end of its predicted 25-year life. Annual depreciation is $25,600.
e. Since the company is not large enough to occupy the entire building it owns, it rented space to a tenant at $2,500 per month,
starting on November 1. The rent was paid on time on November 1, and the amount received was credited to Rent Revenue
However, the tenant has not paid the December rent. The company has worked out an agreement with the tenant, who has
promised to pay both December and January rent in full on January 31
f. On November 1, the company rented space to another tenant for $2,265 per month. The tenant paid five months' rent in advance
on that date. The payment was recorded with a credit to the Unearned Revenue account.
Assume no other adjusting entries are made during the year.
Required:
1.use the info to prepare adjusting entries as dec 31
2. Prepare journal entries to record the first subsequent cash transaction in January of the next year for parts c and e
Based on the information the adjusting journal entries to record the transactions are: Debit Supplies $13,388; Credit Office supplies $13,388.
Adjusting journal entries1a. 31 Dec
Debit Supplies $13,388
Credit Office supplies $13,388
( $3,150+$13,010-$2,772)
b. 31 Dec
Debit Insurance expense $8,583
Credit Prepaid insurance $8,583
($30,624-$22,041)
c. 31 Dec
Debit Salary and wages expense $4,200
Credit Salary and wages payable $4,200
($2,100×2)
d. 31 Dec
Debit Depreciation $25,600
Credit Accumulated depreciation- Building $25,600
e. 31 Dec
Debit Rent receivable $2,500
Credit Rent revenue $2,500
e. 31 Dec
Debit Unearned rent $4,530
Credit Rent revenue $4,530
($2,265×2)
2c. 06-Jan
Debit Salary and wages payable $4,200
($2,100×2)
Debit Salary and wages expense $6,300
($2,100×3)
Credit Office supplies $10,500
($4,200+$6,300)
2e. 15-Jan
Debit Cash $5,000
($2,500+$2,500)
Debit Rent receivable $2,500
Credit Rent revenue $2,500
Inconclusion the adjusting journal entries to record the transactions are: Debit Supplies $13,388; Credit Office supplies $13,388
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how can 1\5 be rewritten?
Answer: It can be written as a decimal which is 0.2 .
Step-by-step explanation: Divide 1 by 5 which you get 0.2 .
Hope it helps
Answer:
2/10, 3/15, and 4/20 as well as 0.2
Step-by-step explanation:
if P = (4,2), Find: Rx=3 (P). Pls help!!
The coordinates of the reflected point P' will be (4, -3).
When a point is reflected over the x-axis, its y-coordinate changes sign.
In this case, the point P has coordinates (4,3).
To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.
So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.
Therefore, the coordinates of the reflected point P will be (4, -3).
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Answer:
Step-by-step explanation:
Pls helppp meeee and thanks
Answer:
Rectangle only
Step-by-step explanation:
A parallelogram is a quadrilateral that has:
- Two pairs of parallel sides
- Two pairs of opposite sides that are congruent
A rectangle is a quadrilateral that has:
- Four right angles
- Two pairs of opposite sides that are congruent
A rhombus is a quadrilateral that has:
- Four sides of equal length
- Two pairs of equal opposite angles
The mass, m , of a lorry is 6.58 tonnes truncated to 2 decimal places. Write the error interval for m in the form a ≤ m < b .
The error interval for m is 6.58 ≤ m < 6.59
What is truncation?Truncation is a process of dropping all decimal places after a certain point without rounding the number.
Given that, the mass, m, of the lorry is 6.58 tonnes truncated to 2 decimal places.
Since the number is truncated to two decimal places, the error interval is,
6.58 ≤ m < 6.59
Hence, the error interval for m is 6.58 ≤ m < 6.59.
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Use the scale drawing to determine how wide the duck pond is? A. 18 feet B. 27 feet C. 49.5 feet D. 55.5 feet
The width of the duck pond is,
⇒ 27 feet
We can see that the given diagram is a rectangle,
And we know that,
Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
Now, By given diagram we have;
We have to given that;
Use the scale drawing to determine how wide the duck pond is.
And there are 4.5 feet in 1 square,
Therefore,
1 square is equal to 4.5 feet
So, we get;
The width of the duck pond is,
⇒ 6 square
We know that,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Then to find width of duck pond in feet,
Multiply 6 with 4.5
⇒ 6 × 4.5 feet
⇒ 27 feet
Thus, The width of the duck pond is,
⇒ 27 feet
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The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
the whale swims down 150 more feet more. what is the whales elevation now
Answer:
i think it's 22500 deep down to the ocean
Find the growth or decay percentage y= 18(0.914)m
The function y = 18(0.914)^m is having exponential decay. The decay percent of this function is 8.6%
What is exponential growth or decay function?Consider the function:
\(y = a(1\pm r)^m\)
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
For this case, the exponential growth/decay function given is:
\(y = 18(0.914)^m\)
That means, there is multiplication of (0.914) for each growth/decay.
We can rewrite 0.914 as:
0.914 = 1 - 0.086
This shows decay as multiplication with 0 < quantity < 1 makes the number less in magnitude.
A quantity times (1 - 0.086) = that quantity - that quantity times 0.086
and we can write 0.086 = 8.6/100 = 8.6%
Thus, we're decreasing 8.6% each time from a quantity when we multiply that quantity with (1-0.086)
Thus, there is exponential(exponential because of the presence of variable 'm' as exponent in the given function) decay of 8.6%.
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Solve the quadratic equation by completing the square. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
x2 + 8x + 14 = 0
Answer:
DNE i think sorry if i am wrong
Step-by-step explanation:
5x-3(-5y+6x) +4y i need help please
To simplify the expression \(\displaystyle\sf 5x-3(-5y+6x)+4y\), we can follow the order of operations, which involves simplifying the expressions within parentheses, applying the distributive property, and combining like terms.
Using \(\displaystyle\sf \) tags for formatting, the expression becomes:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
First, we simplify the expression within the parentheses:
\(\displaystyle\sf 5x-3(-5y+6x)+4y\)
\(\displaystyle\sf 5x+15y-18x+4y\)
Next, we can combine the like terms:
\(\displaystyle\sf 5x-18x+15y+4y\)
\(\displaystyle\sf -13x+19y\)
Therefore, the simplified expression is \(\displaystyle\sf -13x+19y\).
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Joe deposited $5000 into an account with a 5.2% annual interest rate, compounded quarterly. Assuming that no withdrawals are made, how long wi
the investment to grow to $6500?
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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A truck with 30-in.-diameter wheels is traveling at 50 mi/h.
Find the angular speed of the wheels in rad/min, "hint convert miles to inches & hours to minutes:
_________rad/min
How many revolutions per minute do the wheels make?
___________rpm
Answer:
A. the angular speed is 3771.4 rad/min
b. 5921 rpms
Step-by-step explanation: I just got this same question right on a test.
A wading pool holds 30 gallons. How many pints of water would be equivalent?
Answer:
240 Pints
Step-by-step explanation:
To convert 30 gallons into pints you need to multiply 30 by the conversion factor in order to get the volume amount from gallons to pints.
Answer: 240 pints
Step-by-step explanation:
One pint is equal to 0.125 gallons.
Find the inverse matrix or type
"none".
Answer:
[-0.2 0.4]
[0.8 -0.6]
Ben and Jose went on a road trip. The graph below gives the rate at which their car
traveled. At what speed did the car travel?
A. 70 mph
B. 65 mph
C. 60 mph
D. 55 mph
Answer:
B. 65 MPH
Step-by-step explanation:
Each hour, the distance increased by 65 miles.
Answer:
65 mph
Step-by-step explanation:
Find a point on the graph where it perfectly intersects with the grid lines. This is (4,260), so in order to get that to one hour divide by 4, so 260 divided by 4 is 65.
Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Based on the lengths shown in the parabola below, what is the distance from point A to the directrix?
The lengths shown in the parabola which is the distance from the point A on the parabola to the focus, is the same as the distance from the point A to the directrix, therefore;
The distance from the point A to the directrix = 14 units
What are some of the properties of a parabola?A parabola is symmetrical about the axis of symmetry
A ray from the focus is reflected from the interior to produce rays parallel to the axis of symmetry.
The definition of a parabola is the set of all in a plane that are equidistant from a fixed point known as the focus and a fixed line, which is known as the directrix
Whereby the distance from the point A to the focus on the parabola is 14 units, the distance from the point A to the directrix = 14, based on the definition of a parabola.
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