Answer: (p - 1) • (5p + 3)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
STEP
1
:
Equation at the end of step 1
(5p2 - 2p) - 3
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 5p2-2p-3
The first term is, 5p2 its coefficient is 5 .
The middle term is, -2p its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -2 .
-15 + 1 = -14
-5 + 3 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 3
5p2 - 5p + 3p - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
5p • (p-1)
Add up the last 2 terms, pulling out common factors :
3 • (p-1)
Step-5 : Add up the four terms of step 4 :
(5p+3) • (p-1)
Which is the desired factorization
the line of best fit for a scatter plot is shown.
(shown below)
what is the equation of this line of best fit in slope intercept form?
(possible answers also shown below)
Answer:
The second is the answer
y= 1/2x+1
Step-by-step explanation:
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
Learn more about the mean at https://brainly.com/question/1136789.
#SPJ1
Dylan hit the ball 48 out of the 60 times he was up to bat. The rest of the time, he snuck out. Approximately what percent did dylan strike out?
Answer:
20 percent
Step-by-step explanation:
(I had such a good explanation and accidentally refreshed the page)
So basics
48/60 is in
12/60 is out
Now we focus on out
we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12
So now 12/60 into a percent
A percent is basically x/100
So we gotta make 12/60 into a fraction with a denominator of 100
SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)
1/5
1/5 is 20 percent
thats a benchmark
But if you don’t know
You can always do a pro proton
1/5=x/100
Cross multiply
100=5x
x=20
A media personality argues that global temperatures are not rising because every year an increase is reported such as 0.09 degrees Celsius. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?
The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:
1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.
2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.
3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.
In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.
23. A group of students were asked how many hours they worked per day. The results are shown below.Number of HoursFrequency2933495863710Find the mean and median for the number of hours worked per student. Round your answers to the nearest hundredth.Mean = Median =
SOLUTION:
Step 1:
In this question, we are given that:
A group of students were asked how many hours they worked per day.
The results are shown below:
Number of HoursFrequency Fi Xi
2 9 18
3 3 9
4 9 36
5 8 40
6 3 18
7 10 70
Total: 42 191
Step 2:
The mean for the number of hours per student can be calculated thus:
\(\begin{gathered} Mean\text{ = }\frac{191}{42}\text{ = 4.547619048} \\ \text{Mean }\approx\text{ 4.55 (to the hundredth)} \end{gathered}\)Step 3:
The median for the number of hours can be calculated thus:
\(\frac{42}{2}\text{ = 21 st number lies on frequency 9 which corr}esponds\text{ to 4}\)From the solution, we can see that the median = 4.00
A train traveling at a constant speed of 105 miles per hour. How many feet does it travel I 3 seconds?
Answer:
A train traveling at a constant speed of 105 miles per hour covers a distance of 315 miles in 3 hours. To find the distance in feet, we need to convert miles to feet:
315 miles * 5,280 feet/mile = 1,654,400 feet
So, in 3 seconds, the train travels approximately:
1,654,400 feet / (60 seconds/minute * 60 minutes/hour) = 9,072 feet
Therefore, in 3 seconds, the train traveling at a constant speed of 105 miles per hour travels approximately 9,072 feet.
Answer:
To convert miles per hour to feet per second, multiply the speed in mph by 5280/3600 = 1.46667.
105 mph * 1.46667 ft/s = 153.333 ft/s
To find the distance travelled in 3 seconds, multiply the speed by time:
153.333 ft/s * 3 s = 315 ft
free brainliest! if you answer this easy question c:
Answer:
5400.00
Step-by-step explanation:
Answer:
5400.00
Step-by-step explanation:
Find the missing side. Round your answer to the nearest tenth.
Which graph accurately indicates the region, shaded in green, that would determine the solution for the
inequality
|x+7 | -2>0?
Answer:
The region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Step-by-step explanation:
We have a inequality and we have to determine the region in the xy-plane that inequality.
\(|x+7|-2>0\\\\|x+7|-2+2>0+2\\\\|x+7|>2\)
We divide the inequality in two regions:
1) When (x+7)>0, we have:
\(x+7>2\\\\x+7-7>2-7\\\\x>-5\)
2) When (x+7)<0, we have:
\(-(x+7)>2\\\\-x-7+7>2+7\\\\-x>9\\\\(-x)(-1)<9(-1)\\\\x<-9\)
Then, the region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Answer:
B
Step-by-step explanation:
edg 2020
Please help me with this question
9514 1404 393
Answer:
D(1, 2)
Step-by-step explanation:
The ordered pair is always (x-coordinate, y-coordinate).
The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.
The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.
The ordered pair describing the location of D is ...
(x-coordinate, y-coordinate) = (1, 2)
simplify 6 with exponent –1
To simplify this equation we need to solve for "s" (feel free to use any other variable)
s-1 -> 1/8 ; 1/s-1 -> s
Once we have gotten this we can now solve 6^-1
6 -1 = 1/6
Answer:
1/6
Step-by-step explanation:
When the exponent is -1 you have to do 1/x x being the number being raised by -1. In this case thats 6
so 1/6
Hope that helps and don't be afraid to reach out if you need any more help!
Help asap its timed will mark brainliest no need to draw just do the other steps
The area of the rectangle, triangles 1, and 2, and 3 are 128, 32, 24, and 16 respectively.
How to find the area of rectangles and triangles?The formula for calculating the area of a rectangle is A = l * w
A = l w, where l is the rectangle's length and w is its width.
Triangle Area Formula: The triangle area formula is A = 1/2 * b * h
A = 1/2 * b * h, where b is the triangle's base and h is the triangle's height.
The area of rectangle = length * width = 16 * 8 = 128
The area of triangle 1 = \(\frac{1}{2}\) * base *height = \(\frac{1}{2}\) * 4 * 16 = 32
The area of triangle 2 = \(\frac{1}{2}\) * base *height = \(\frac{1}{2}\) * 4 * 12 = 24
The area of triangle 3 = \(\frac{1}{2}\) * base *height = \(\frac{1}{2}\) * 4 * 8 = 16
Subtract the area of the triangles from the area of the rectangle.
128 - (32 + 24 + 16) =56
Learn more about the area of triangles here:
https://brainly.com/question/27683633
#SPJ1
Drag the prisms to the table in order from least volume to greatest volume.
Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of first prism with sides 2, 1.5 and 3.2
Volume=2×1.5×3.2
=9.6 in³
The volume of second prism with sides 1.5, 1.5 and 6
Volume=1.5×1.5×6
=13.5 in³
The volume of third prism with sides 2, 5/2 and 7/2
Volume=2×2.5×3.5
=17.5 in³
The volume of fourth prism with sides 1/2, 1/2 and 1/2
Volume=0.5×0.5×0.5
=0.125 in³
Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ1
What is the image of R for a dilation with center (0,0) and a scale factor of 1 1/2?
Answer: The image is (6,-3)
Step-by-step explanation:
The coordinates of R is ( 4,-2) and to find the image using the scale factor 1.5 you will multiply the x coordinates by 1.5 and the y coordinate also by 1.5 to have the new image of R.
4 * 1.5 = 6
-2 * 1.5 = -3
The new coordinates care (6, -3)
evaluate the expression 12x-3y when x is -1/4 and y is 3
Answer:
-12
Step-by-step explanation:
plug in and solve
1. 12(-1/4) - 3(3)
2. -12/4 - 9
3. -3 - 9
4. -12
Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
4. Find the circumference of the circle. Use 3.14 for the value of x. Round your answer to the nearest tenth.
20 in
Answer:
18.2cm
thank you
i think
3/5 + 7/8 + 3/10 = plssss ghelp
Answer:
\(\frac{71}{40}\)
or
71/40
Explanation:
\(\frac{3}{5} + \frac{7}{8} + \frac{3}{10}\)
LCM (Least Common Multiple) of 5, 8, and 10 = 40
5 × 8 = 40
8 × 5 = 40
10 × 4 = 40
(8 × \((\frac{3}{5} )\) ) + (5 × \((\frac{7}{8} )\) ) + (4 × \((\frac{3}{10} )\) )
\(\frac{24}{40} + \frac{35}{40} + \frac{12}{40}\)
\(\frac{71}{40}\)
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
Solve the following fractions
2 3/8+2 1/8
Answer:
\( \sf \: 4 \frac{4}{8} \)
Step-by-step explanation:
Given problem,
\( \sf \rightarrow \: 2 \frac{3}{8} + 2 \frac{1}{8} \)
Let's solve the problem,
\( \sf \rightarrow \: 2 \frac{3}{8} + 2\frac{1}{8} \)
\( \sf \rightarrow \: \frac{19}{8} + \frac{17}{8} \)
\( \sf \rightarrow \: \frac{(19 + 17)}{8} \)
\( \sf \rightarrow \: \frac{36}{8} \)
\( \sf \rightarrow \: 4 \frac{4}{8} \)
Hence, the answer is 4 4/8.
the manager of a bank record of the amount of each Time customer spent waiting in the line during peak business hours on Monday the waiting times are shown below find the mean waiting time Roger answer to one Decimal place 6.8 min 7.5 min 7.2 min brainly
Answer:
To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.
Step-by-step explanation:
I HAVE 5 MINS PLS HELP WILL MARK BRAINLIEST IF CORRECT!
Answer: Perimeter: 29 Area : 2593.5
Step-by-step explanation: Perimeter is plus it all together and the area is times altogether. Hope that helps! :)
Identify the graph of the equation (x+3)2+(y+1)2=9
The resulting graph is a circle with center at (-3,-1) and radius 3.
The graph of the equation (x+3)²+(y+1)²=9
is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.
For more question graph
https://brainly.com/question/5504986
#SPJ8
Solve for the unknown value
X=______Degrees
Answer:
Step-by-step explanation:
_______________________________
Hey!!
Solution,
X+61+42=180[ sum of angle in triangle]
or,X+103=180
or,X=180-103
X=77°
So the value of X is 77°
Hope it helps..
Good luck on your assignment
____________________________
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ1
An article reported that 6 in 10 auto accidents involve a single vehicle (the article recommended always reporting to the insurance company an accident involving multiple vehicles). Suppose 20 accidents are randomly selected. Use Appendix Table A.1 to answer each of the following questions. (Round your answers to three decimal places.)
(a) What is the probability that at most 8 involve a single vehicle?
(b) What is the probability that exactly 8 involve a single vehicle?
(c) What is the probability that exactly 10 involve multiple vehicles?
(d) What is the probability that between 5 and 8, inclusive, involve a single vehicle?
(e) What is the probability that at least 5 involve a single vehicle?
(f) What is the probability that exactly 8 involve a single vehicle and the other 12 involve multiple vehicles?
(a) The probability that at most 8 involve a single vehicle = 0.057
(b) The probability that exactly 8 involve a single vehicle = 0.035
(c) The probability that exactly 10 involve multiple vehicles = 0.117
(d) The probability that between 5 and 8, involve a single
vehicle = 0.056
(e) The probability that at least 5 involve a single vehicle = 1
(f) The probability exactly 8 involve a single vehicle and the other 12 involve multiple vehicles = 0.035
Define probability?Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. For an experiment with 'n' number of outcomes, the symbol x can be used to indicate the number of excellent outcomes. The probability formula is as follows:
x/n, where Probability is Favorable Outcomes/Total Results (Event).
Now, P = 0.6
n = 20
x ≅ Binomial (20; 0.6)
P(x) = (nx) Px q n-x
Now, at most 8 involve a single vehicle is:
P (x ≤ 8) = 0.057
Again, exactly 8 involve a single vehicle is:
P (x =8) = 0.035
Now exactly 10 involve multiple vehicles is:
P (x = 10) = 0.117
Similarly, between 5 and 8, involve a single vehicle is:
P (5 ≤ x ≤ 8) = 0.056
The probability of at least 5 involve a single vehicle is:
P (x ≥ 5) = 1
The probability that 8 involve a single vehicle and the other 12 in multiple vehicles is:
P (x = 8) = 0.035
To know more about probability, visit:
https://brainly.com/question/9793303
#SPJ1
PLEASE ANSWER NUMBER 2
Evaluate the numerical expression.
9 × [(25 − 6) − (6 + 5)]
Answer:
72
Step-by-step explanation:
9 * (19 - 11)
= 9 * 8 = 72
Calculate the area of this triangle.
14 cm
11 cmi
18 cm
Answer: 99cm^2
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(area = \frac{1}{2} \times (height) \times (base) \\ \)
\(height = 11 \: \: cm\)
\(base = 18 \: \: cm\)
Thus :
\(area = \frac{1}{2} \times 11 \times 18 \\ \)
\(area = \frac{18}{2} \times 11 \\ \)
\(area = \frac{2 \times 9}{2} \times 11 \\ \)
\(area = 9 \times 11\)
\(area = 99 \: \: {cm}^{2} \)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
y-2/3(9x - 3y)
With solution
Answer:
y - (18x - 6y)/3
Step-by-step explanation:
y - (2/3)(9x - 3y)
y - [(2)(9x - 3y)]3
y - (18x - 6y)/3
y + (-18x + 6y)/3
y - 6x + 2y
-6 + 3y