6E6 is a number written in scientific notation, which means that it represents 6 times 10 raised to the power of 6. To write this number in standard form, we need to evaluate the exponent and write the number in expanded form.
6E6 = 6 x 10^6
Evaluating the exponent 6 means multiplying 6 by 10 six times:
6 x 10^6 = 6 x 10 x 10 x 10 x 10 x 10 x 10
Simplifying the expression, we get:
6 x 10^6 = 6,000,000
Therefore, 6E6 in standard form is 6,000,000.
Depot Headquarters has a new promotional payment plan. All purchases can be paid off on
the installment plan with no interest, as long as the total is paid in full within twelve months.
There is a $68 minimum monthly payment required. If the Koslow family buys a hot tub for
$6,283, and they make only the minimum payment for 11 months, how much will they have
to pay in the 12th month?
Which expression is equivalent to
Help ‼️‼️‼️
The equivalent expression to 2/3 - 1/4x + 1/2x - 1/6 is given as follows:
1/2 + 1/4x.
What are like terms?Like terms are terms that share these two features:
Same letters. (algebraic variables).Same exponents.If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify an expression.
The expression for this problem is defined as follows:
2/3 - 1/4x + 1/2x - 1/6.
The like terms are simplified as follows:
2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2.-1/4x + 1/2x = -1/4x + 2/4x = x/4.Hence the simplified expression is given as follows:
1/2 + 1/4x.
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Complete the following, using ordinary interest. (Use Days in a year table.)
Note: Do not round intermediate calculations. Round the "Interest" and "Maturity value" to the nearest cent.
Principal
$
1,350
Interest rate Date borrowed
July 21
8%
Date repaid
January 18
Exact time
Interest
Maturity value
The computation of the interest and the maturity value of the loan, using ordinary interest, is as follows:
Interest = $54.30
Maturity value = $1,404.30.
What is the ordinary interest method?The ordinary interest method is based on the use of 360 days as the ordinary days in a calendar year.
The ordinary interest contrasts with the exact interest, which uses 365 days or the normal calendar days.
Principal = $1,350
Interest rate = 8%
Date borrowed = July 21
Date repaid = January 18
The number of days between July 21 and January 18 = 181 days
Total Interest = Principal x Rate x Time
= $54.30 ($1,350 x 8% x 181/360)
Maturity value = Principal + Total Interest
= $1,404.30 [$1,350 + ($1,350 x 8% x 181/360)]
Thus, based on the ordinary interest method, the maturity value of the loan is $1,404.30.
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Multiplication 1 / 12 of 1
Answer:
1 / 12
Step-by-step explanation:
" of " here means multiply
1 / 12 x 1
= 1 / 12
Jeremiah makes %25, percent of the three-point shots he attempts. For a warm up, Jeremiah likes to shoot three-point shots until he makes one. Let MMM be the number of shots it takes Jeremiah to make his first three-point shot. Assume that the results of each shot are independent. find the probability that it takes Jeremiah more than 6 attempts to make his first shot.
The probability that it takes Jeremiah more than 6 attempts to make his first three-point shot is approximately 0.0479.
The probability that Jeremiah makes a three-point shot is p = 0.25, which means that the probability he misses a shot is q = 1 - p = 0.75.
Let's consider the probability that it takes Jeremiah more than 6 attempts to make his first shot.
This means he must miss the first 6 shots, and make the 7th shot. The probability that he misses a single shot is q = 0.75, so the probability that he misses the first 6 shots is:
P(missing first 6 shots) = q × q × q × q × q × q = (0.75)^6
The probability that he makes the 7th shot is p = 0.25. Therefore, the probability that it takes Jeremiah more than 6 attempts to make his first shot is:
P(MMM > 6) = P(missing first 6 shots) × P(making 7th shot) = (0.75)^6 × 0.25 = 0.0479 (rounded to four decimal places).
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Mandy sells computers for a company called computer world. she earns 5% commission on her sales. Her commission last month was $700. What was Mandys total sales fot that month.
Answer: Mandy sold 14,000$ in total sales
Step-by-step explanation: Divide the 5% and the 700, to get a total of 140, then multiply by 100. Hope this helps!
The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 275 U.S. adults is selected. Round your answers to at least four decimal places as needed.
This means that, based on the National Coffee Association's data, we would expect approximately 168 out of the 275 U.S. adults in the sample to drink coffee daily.
To analyze the random sample of 275 U.S. adults, we can use the information provided by the National Coffee Association, which states that 61% of U.S. adults drink coffee daily.
To find the expected number of U.S. adults in the sample who drink coffee daily, we multiply the sample size (275) by the percentage of U.S. adults who drink coffee daily:
Expected number = 275 * 0.61 = 167.75
The expected number of U.S. adults in the sample who drink coffee daily is 167.75. However, since the number of individuals cannot be a fraction, we round the result to the nearest whole number:
Expected number ≈ 168
This means that, based on the National Coffee Association's data, we would expect approximately 168 out of the 275 U.S. adults in the sample to drink coffee daily.
Please note that the rounding process is necessary because the number of individuals in the sample should be a whole number.
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bob said 4x500=200 explain his error using place value
Answer:
The answer is 2000
Step-by-step explanation:
The 2 means hundred and the two zeroes mean tens and ones if he added a zero at the end it would be 2000 making the 2 to be a thousand which is the correct answer.
Hello;
4 x 500 = 500 + 500 + 500 + 500 = 1000 + 1000 = 2000
you want 1000 => 2000/2 = 1000
(4 x 500)/2 = 2 x 500 = 500 + 500 = 1000
not 4 x 500 but 2 x 500
what is the apothem of a hexagon with a radius of 8?
6.928 units is the apothem of a hexagon with a radius of 8.
The apothem of a regular hexagon is the distance from the center to the midpoint of a side. For a regular hexagon with a radius of 8, the apothem can be found using the formula:
apothem = radius x √3/2
Substituting the given value of the radius, we get:
apothem = 8 x √3/2
apothem = 8 x 1.732/2
apothem = 6.928
Therefore, the apothem of the hexagon is 6.928 units.
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Jess purchases a $6,815 dining room set. She can’t afford to pay cash, so she uses the
installment plan, which requires an 20% down payment. How much is the down payment?
The down payment would be 20% of the total cost of the dining room set, which is $6,815. So, the down payment would be $1,363.
To calculate the down payment, we'll use the following steps:
1. Determine the total cost of the dining room set, which is $6,815.
2. Find the percentage of the down payment, which is 20%.
3. Multiply the total cost by the percentage to find the down payment amount.
Using these steps, we can calculate the down payment:
Down payment = Total cost × Down payment percentage
Down payment = $6,815 × 0.20
Down payment = $1,363
So, Jess's down payment for the dining room set is $1,363.
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Whitney is making a strawberry cake for her brother’s birthday. The cake pan is a right rectangular prism
20
cm
20 cm20, start text, space, c, m, end text wide by
28
cm
28 cm28, start text, space, c, m, end text long. Whitney puts
1848
cm
3
1848 cm
3
1848, start text, space, c, m, end text, cubed of batter into the pan.
How deep is the cake batter?
Answer:
around 3.3 cm
Step-by-step explanation:
The volume of the rectangular prism cake pan can be calculated by multiplying its length, width, and depth:
V = l × w × d
Substituting the given values, we get:
V = 20 cm × 28 cm × d
V = 560d cm³
We are also given that the amount of batter put into the pan is 1848 cm³. So we can set up the following equation:
1848 cm³ = 560d cm³
Solving for d, we get:
d = 1848 cm³ ÷ 560 cm²
d ≈ 3.3 cm
Therefore, the cake batter is about 3.3 cm deep.
Help asap 50pts !!!!
Answer:
h (-2) = -2.6 (repeating)
h(2) =2
h(5) = 4.3 (repeating)
Step-by-step explanation:
for h(-2)
= [tex]\frac{1}{3} (-2^{2} )-4\\\\\frac{1}{3} *4-4\\\\\frac{4}{3} -4=-2.6[/tex]
for h(2)
x = 2, so h(2) = 2
for h(5)
[tex]\frac{1}{3} (5^{2} )-4\\\\\frac{1}{3} *25-4\\\\\frac{25}{3} -4\\\\=4.3[/tex]
Click Submit to complete this assessment.
Question 14
The rate of rain on Thursday was two inches every three hours. It rained a total of 11 hours. How much rain fell after 11 hours of consistent rain?
A total of
(If rounding is necessary, round to the nearest hundredth.)
Document56.docx
47°F
Cloudy
inches of rain fell over the course of 11 hours
BE
Search
8
O
A total of 7 33 inches of rain fell over the course of 11 hours
How to find the amount of rain that fellThe rate of rain on thursday was two inches every three hours which means it rained 2/3 inches per hour
After 11 hours of consistent rain the total amount of rain that fell can be calculated by multiplying the rate of rain per hour by the number of hours
total amount of rain = 2/3 inches hour x 11 hours
total amount of rain = 22/3 inches
total amount of rain = 7 33 inches )rounded to the nearest hundredth)
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the triangle below has an area of 12 units. Find the missing length
Answer:
Step-by-step explanation:
1 Factor out a monomial NMZ
Learn with an example
Factor out the greatest common factor. If the greatest common factor is 1, just retype the
polynomial.
2x³ - 10
Submit
The greatest common factor of the polynomial 2x³ - 10 is 2.
By extracting the greatest common factor, we obtain:
= 2(x³/2 - 5)
Therefore, the factored form of the polynomial is 2(x³/2 - 5).
Thus, the greatest common factor of the polynomial 2x³ - 10 is 2.
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A contractor claims that she finishes a job on time 90% of the time. Last month, she only completed 7 out of her 10 jobs on time. To see if this is surprisingly low, a simulation was conducted 100 times under the assumption that she really does complete 90% of her jobs on time.
The dotplot contains 100 trials of this simulation.
A dotplot titled jobs completed on time has number of jobs completed on the x-axis, and frequency on the y-axis. 5, 1; 6, 3; 7, 15; 8, 26; 9, 45; 10, 11.
Based on this dotplot and the sample of last month’s on-time completions, which conclusion can be drawn?
The contractor’s true, on-time completion rate is only 50%.
It is most likely that the contractor will complete about 9 out of 10 jobs.
If we used a larger sample size of 40 jobs, the simulated dotplot would be different; therefore, we cannot draw a conclusion.
The dotplot does not provide convincing evidence that her true, on-time completion rate is less than 90% because 7 or fewer on-time completions happened 19% of the time in the simulation.
It is likely that the contractor's true, on-time completion rate is still around 90%.
Based on the provided dot plot and the sample of last month's on-time completions, the conclusion that can be drawn is:
The dot plot does not provide convincing evidence that the contractor's true, on-time completion rate is less than 90% because 7 or fewer on-time completions happened 19% of the time in the simulation.
This means that the observed 7 out of 10 jobs completed on time in the last month is not significantly different from what would be expected based on the assumption of a 90% completion rate.
Therefore, it is likely that the contractor's true, on-time completion rate is still around 90%.
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Twice the difference of a number and 9 is 3
Answer:
The number is 10.5-----------------
Let the number be n.
Twice the difference of a number and 9 is 3, set up an equation:
2(n - 9) = 32n - 18 = 32n = 21n = 10.5Hence the number is 10.5.
The half-time performance of a marching band includes a performance in which the band members form a circle with
point J at the center. This formation can be modeled by the equation x^2 + y^2 + 10x - 12y - 83 = 0.
What are the coordinates for the point J?
The coordinates for the point J are (-5, 6).
The radius 12 represents the center of the circle from each band member to the edge of the circle.
The domain of the circle is -17 ≤ x ≤ 7.
The range of the circle is -6 ≤ y ≤ 18.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.From the information provided above, we have the following equation of a circle:
x² + y² + 10x - 12y - 83 = 0
x² + 10x + y² - 12y = 83
x² + 10x + (10/2)² + y² - 12y + (-12/2)² = 83 + (10/2)² + (-12/2)²
x² + 10x + 25 + y² - 12y + 36 = 83 + 25 + 36
(x + 5)² + (y - 6)² = 144
(x + 5)² + (y - 6)² = 12²
Therefore, the center (h, k) is (-5, 6) and the radius is equal to 12 units.
By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = [-17, 7] or -17 ≤ x ≤ 7.
Range = [-6, 18] or -6 ≤ y ≤ 18.
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Belle and her friends are planning a weekend trip to Isle of Palms, South Carolina! They can
rent either a sedan or a fuel-efficient SUV for the trip. The sedan will cost $180 to rent, while
the SUV will cost $200. Belle estimates that the sedan will cost $0.11 per mile in fuel, while
the SUV will cost about $0.06 per mile.
The SUV is the more cost-effective choice for the trip than Sedan
To determine which vehicle is the more cost-effective choice for the trip, Belle needs to consider both the rental cost and the fuel cost for each option.
Let's assume the trip is a round-trip of 500 miles.
For the sedan:
Rental cost: $180
Fuel cost: 500 miles x $0.11/mile = $55
Total cost: $180 + $55 = $235
For the SUV:
Rental cost: $200
Fuel cost: 500 miles x $0.06/mile = $30
Total cost: $200 + $30 = $230
Based on these calculations, the SUV is the more cost-effective choice for the trip.
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Answer:
400
Step-by-step explanation:
please help it's easy
The order of the steps which can be used to determine an unknown value using proportion method is as follows:
Option B ---> D---> E---> A----> C.
What is a ratio?A ratio can be defined as the expression that compares the quantity of a value that can be found in another value.
The correct step that can be used to find the a missing value when proportion method is used is as follows;
Step 1: Identify the two quantities being compared
Step 2: Write the ratio for the two known quantities
Step 3: Write a ratio that has the unknown and the know quantity.
Step 4: Equate the two ratios
Step 5: Cross multiply and solve for the unknown quantity. Describe the solution.
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What is the graph of the function f(x) =⌊x+3⌋
?
The graph of the function f(x) =[x+3] is a linear graph and it is represented on the last graph of the attached image.
Understanding Linear GraphA linear equation can be written in the form:
y = mx + c
where:
y = dependent variable (usually on the vertical axis).
x = independent variable (usually on the horizontal axis).
m = slope of the line, which determines its steepness.
c = y-intercept, which is the point where the line crosses the y-axis.
From our question,
f(x) =[x+3]
y = f(x)
m = 1
c = 3
To plot our graph, we use the range of values of x which are:
x = 0, -1, -2, -3
By substituting the value of x into the equation we have the equivalent y values;
f(0) = [0 + 3] = 3
f(-1) = [-1 + 3] = 2
f(-2) = [-2 + 3] = 1
f(-3) = [-3 + 3] = 0
Plotting x against y will give us the graph attached.
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find the prime factorization of 819
Answer:
Step-by-step explanation:
start by listing the prime numbers which are {2,3,5,7,11,13...}
now we need to find the divisibility test of 819 it can't be divisible by 2 so we shall go for 3 let check
divisible by 3
a number is divisible by 3 if when the digits are added it gives a number which is a multiple of 3
check divisible by 3
819=8+1+9=18
18÷3=6
18 is divisible by 3
now divide 819 by 3 getting 273
273=2+7+3=12
12 is divisible by 3
273÷3=91
91 is not divisible by 3 so we try the other numbers 5
a number is divisible by 5 if only the last digit is a 0 or 5
and 91 doesn't end with 0 or 5 so it is not divisible by 5
divisible by 7
a number is divisible by seven only when u remove the last digit, double it then subtract it from the remaining number and get a multiple of 7
the best way of finding the divisibility of seven is by long division
91÷7=13
we have 13 and 13 is a prime number
13÷13=1
now let's multiply the factors
3×3×7×13=819
therefore the factors are {3²,7,13}
To find the prime factorization of 819, we divide by prime numbers until we can no longer divide. The prime factorization of 819 is 3 x 3 x 7 x 13.
Explanation:To find the prime factorization of 819, we need to determine the prime numbers that multiply together to give 819. We start by dividing 819 by the smallest prime number, which is 2. Since 819 is an odd number, it is not divisible by 2. So, we move on to the next prime number, which is 3. 819 divided by 3 gives us 273.
Next, we continue dividing 273 by prime numbers until we can no longer divide. Dividing 273 by 3 again gives us 91. Continuing this process, we divide 91 by 7 to get 13. Since 13 is a prime number, we cannot further divide it.
Therefore, the prime factorization of 819 is 3 x 3 x 7 x 13.
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Solve for X
15 + x = y
15–18: INTERPRETING SCATTERPLOTS. Consider the following scatterplots.
a. State whether the diagram shows a positive correlation, a negative correlation, or no correlation. If there is a correlation, is it strong or weak?
b. Summarize any conclusions that you can draw from the graph.
The scatterplot below shows the average points per game and percentage on three-point shots for the leading scorers of the 2020 Women’s National Basketball Association (WNBA). (Source: WNBA Advanced Stats)
In agreement, there is no correlation between the values of the graph because there is no constant that determines the relationship between the average of points and the percentage of failures of three points.
Is there any correlation between the values?Based on the information in the graph, we can infer that there is no correlation between the values in the graph, since neither influences the other (does not modify it). Due to the above, we can establish that the values have no correlation because they are independent and do not depend on each other.
In this case, we can see that the percentage of 35% is in two values: one below 19 and one above 19. This means that there is no correlation because if there were, the values would have an obvious trend.
To conclude we can say that there is no correlation between these values because there is no a constant relationship that determines the location of the points in the graph.
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Looking at the paint quantity diagram and using your answer in QUESTION
1.7.2 A make use of different combinations of the tins of paint, then advise Prudence of which combination will be the most cost effective. Include VAT in your calculations.
Option B, three 2-liter tins, is the most cost-effective choice.
How to solve1.7.1: To convert 5 litres to cm³, multiply by 1000 cm³ per litre:
5 litres * 1000 cm³/litre = 5000 cm³.
1.7.2: If 1 litre covers 8m², and you need to paint 14.4m² with three coats: 14.4m² * 3 coats = 43.2m².
Divide by 8m²/litre to find litres needed: 43.2m² / 8m²/litre = 5.4 litres.
To find the most cost-effective combination, consider the options:
A: One 5-liter tin and one 2-litre tin.
B: Three 2-liter tins.
Calculate costs including VAT: A: (1 * 439.99 + 1 * 189) * 1.15 = 723.63, B: (3 * 189) * 1.15 = 651.45.
Option B, three 2-liter tins, is the most cost-effective choice.
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The Complete Question
Paint is sold in different sizes as shown below A B 2 litre tin R189 5 litre tin at 439.99 Prices excludes VAT of 15% 1.7.1 Convert the capacity of a 5-litre tin to its volume in cm³ NOTE: 1 litre 1 000 cm³ 1.7.2
According to a paint specialist one needs at least two coats of pain therefore decided that she will paint three coats just to be sure that covered. Remember that the area that needs to be covered is 14.4 How many litres of paint will be needed if 1 litre of paint covers 8m- Looking at the paint quantity diagram and using your answer in QUI 1.7.2 A make use of different combinations of the tins of paint, ther Prudence of which combination will be the most cost effective. Inclu your calculations. 8,84 cm
What is minus+minus =
Answer:
plus (+)
Step-by-step explanation:
Assume there is a number such as 1 after the minus:
[tex] - 1 + ( - 1) = - 2[/tex]
Thus - (+) - = +, since they add the minuses.
X8.8.PS-16
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover
the block entirely with paper. How much paper do you need? Use pencil and paper to explain your
reasoning.
You need cm² of paper.
3mm
(The figure is not to scale)
Answer: 57 cm²
Step-by-step explanation:
To answer this question, we need to find the surface area of the figure.
First, we will find the surface area of the bottom part, the rectangular prism. We will use the given formula. However, we do not count the top side since it is connected to the bottom part. We will subtract this.
SA = 2(wl + hl + hw)
SA = 2((3 cm)(3 cm) + (2 cm)(3 cm) + (2 cm)(3 cm))
SA = 42 cm²
SA = 42 cm² - 9 cm² = 33 cm²
Next, we will find the surface area of the top part, the square pyramid. We know we have four congruent triangles. We will not count the square base since it is connected to the bottom part.
SA = 4 * ([tex]\frac{bh}{2}[/tex])
SA = 2 * (bh)
SA = 2 * ((3 cm)(4 cm))
SA = 2 * (12 cm²)
SA = 24 cm²
Lastly, we will add these two parts together.
33 cm² + 24 cm² = 57 cm²
Can someone help me please
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex] is matrix obtained by multiplying row 3 by 2
[tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\6&-5&-2&-3\end{array}\right][/tex] is obtained by interchanging row 3 and row 1
The given augmented matrix is [tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\2&5&-6&-4\end{array}\right][/tex]
The first row operation is given that multiply row 3 by 2
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\2(2)&5(2)&-6(2)&-4(2)\end{array}\right][/tex]
[tex]\left[\begin{array}{cccc}-6&-5&-2&-3\\6&5&-1&-3\\4&10&-12&-8\end{array}\right][/tex]
Now let us find the matrix by interchanging row 3 and row 1
[tex]\left[\begin{array}{cccc}2&5&-6&-4\\6&5&-1&-3\\6&-5&-2&-3\end{array}\right][/tex]
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find the median and mean of the data set below: 37 , 27 , 1, 31 ,27 ,40, 47
Answer:
Mean and Median 30 and 31 respectively.
Step-by-step explanation:
Mean refers to average of all the observations.
Mean = Sum of all the observations/ Total no. of observations
Mean = 37 + 27 + 1 + 31 + 27 + 40 + 47/ 7
= 210 / 7
= 30
Median refers to middle most value of the series.
In order to find median we need to arrange the given data in ascending order i.e. smallest to largest.
We get,
1, 27, 27, 31, 37, 40, 47
When the no. of observations is odd: (n + 1/ 2)th term
= 7 + 1/ 2
= 4th term
Therefore, Median is 31.
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The expected probability of rolling an even number in 1 roll of a fair cube with faces numbered 1 through 6 is 1/2.
When the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. When the same cube was rolled 100 times, an even number came up 51 times, or almost 1/2 the time. Why are the actual results closer to the expected probability of 1/2 when rolling the cube 100 times?
Select one:
a. A larger sample size was used.
b. The 100 tosses were controlled better.
c. The expected probability changed when the cube was rolled 100 times.
d. The thrower considered only the even rolls, and disregarded the odd rolls.
After considering the given set of options we conclude that a large sample was used in the evaluation, which means the correct option is Option A.
1/2 is the evaluated expected probability for the given case under the condition that when the die was rolled an even number came out with face number 1 out of 6.
In the event that the cube was rolled 20 times, an even number came up 15 times, or 3/4 of the time. Now the same cube was again rolled 100 times, an even number came up on the recent throw which showed 51 times even, or almost 1/2 the time.
Therefore we can say that the actual results are closer to the expected probability of 1/2 when rolling the cube 100 times because a larger sample size was used.
Hence we are dealing with larger sample size, this means that the actual results will be much closer to the expected probability.
This is due to the law of large numbers which states that as the sample size increases, the average of the results will get closer and closer to the expected value .
Therefore, option (a) is correct.
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