Simplify the polynomial expression. (x+7)^2
Answers
Answer:
x²+14x+49
Step-by-step explanation:
(a+b)²=a²+2ab+b²
(x+7)²=x²+2×7×x+7²=x²+14x+49
Related Questions
A hiking trail is shown as 14 cm on a map.
The scale is 1 : 150000
How far in km is it in real life?
Answers
Answer:
21km
Step-by-step explanation:
1km=100000cm
14x150000=2100000cm=21km
The distance in real life in kilometers by the given scale factor will be 21 kilometers.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
As per the given,
Scale factor = 1 : 150000
It means 1 cm will convert to 150000 cm.
In real life = 14 x 150000 = 2100000 cm
2100000 cm = 21000 m = 21 kilometer
Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".
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need help asap! what is the value of x given that figure MNOP is a trapezoid with median QR
Answers
Answer:
x = 8
Step-by-step explanation:
To find the possible value of x in the given trapezoid MNOP with median QR, recall that one of the properties of a trapezoid is that the median length = ½ of the sum of the length of the parallel bases
Thus, ½ of [x + (3x + 8)] = 20
Let's find x
½*[x + (3x + 8)] = 20
½*[x + 3x + 8)] = 20
½*[4x +8] = 20
Multiply both sides by 2
4x + 8 = 20*2
4x + 8 = 40
Subtract 8 from both sides
4x = 40 - 8
4x = 32
Divide both sides by 4
x = 32/4
x = 8
Answer:
I think its 8 ♂️
Step-by-step explanation:
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
Answers
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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8. Triangle JKL is located at J(4,5) K17, 1) L(1,
1). A transformation occurred and now the
triangle is located at J(-4,5) K(-7,3)
L(-1, 1). What transformation occurred?
Answers
Answer:
a bit of a room for the television and then we you too I am really sorry for the television and then we you too I love you too I will be there in about you guys see you tomorrow at 7 in the middle to buy a house in the middle of the night guys see you tomorrow at 7 in the middle of the night
A circle has radius 50 cm. Which of these is closest to its area?
157 cm^2
314 cm^2
7,854 cm^2
15,708 cm^2
Answers
Answer:
7854 cm²
Step-by-step explanation:
3.14 x 50² = 7850
9.Weights of the NBA’s Top 50 Players Listed are the weights of the NBA’s top 50 players. Construct a grouped frequency distribution and a cumulative frequency distribution with 8 classes. Analyze the results in terms of peaks, extreme values, etc.
Answers
Frequency Distribution Table is down below.
Class Count Cumulative Frequency Table
160 - 180 3 3
181 - 201 5 8
202 - 222 14 22
223 - 243 14 36
244 - 264 10 46
265 - 285 2 48
286 - 306 1 49
307 - 327 1 50
Total 50 100
How to explain the distributionHere its peak is in between 202 to 243 frequency range. There are three extreme values that are 270, 295 and 325 pounds weight.
Median lies in the interval 223-243 and mean also lies in that interval. Maximum values lies in between 200 - 225 interval.
The distribution is left skewed.
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A survey reported that 4 out of every 10 students at Pinewood Middle like chocolate ice cream. Which two ratios correctly represent this comparison?
Answers
Answer:
D. 10:4 and 5 to 2
Step-by-step explanation:Hope you get it right :)
Sammy wants to spend no more than $35 at the arcade. If he is playing games at the arcade that each cost $0.75, which inequality can be used to find g, the number of games that Sammy can play and stay within his goal
Answers
Answer:
0.75 g ≤ 35
Step-by-step explanation:
if each games costs $0.75, then the answer of g will be given by 35/0.75.
he can go up to exactly $35 but not over
so, the inequality is given by 0.75 g ≤ 35
HELP PLS!!
Determine if this table represents a linear function
Answers
Answer: im pretty sure the answer is c
Step-by-step explanation:
if the answer is not c im sorry but i hope this helps! Have a good day!
let represent the full height of a certain species of tree. assume that has a normal probability distribution with a mean of 187.6 ft and a standard deviation of 5.9 ft.
Answers
The sampling distribution has a mean value of 171.3 feet; two standard deviations from the mean are 295.3 feet in a positive direction and 47.3 feet in a negative direction.
To calculate these values, the formula for standard deviation is used, which is:
Standard Deviation = (X-mean)/standard error
Therefore, to calculate two standard deviations from the mean in the positive direction, we use:
295.3 ft = (X-171.3)/48
To calculate two standard deviations from the mean in the negative direction, we use:
47.3 ft = (X-171.3)/48
Therefore, the mean of the sampling distribution is 171.3 ft, and two standard deviations from the mean in the positive direction is 295.3 ft, and two standard deviations in the negative direction is 47.3 ft.
Complete Question:
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 171.3 ft and standard deviation 48 ft.
You intend to measure a random sample of n =28 trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution. Complete the indicated boxes of the mean, and two standard deviations from the mean in the positive and negative direction. Be accurate to two decimal places.
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help plsplsplspslpssl help meee
Answers
Answer:
B) 400
Step-by-step explanation:
Hope this helps! Pls give brainliest!
The ratio of berries to oranges is 10:1. If there are 9 oranges, how many berries are there?
Answers
Answer:
90 berries
Step-by-step explanation:
A file that is 233 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been
downloaded? Round your answer to the nearest tenth.
Answers
Answer:
32.9
Step-by-step explanation:
233 * %14.1 = 233*.141=32.9
Leo bought 18 boxes of cereal. This is 25% of the boxes at the store. How many total boxes of cereal were at the store?
Answers
The Game shop is having a sale and all games are reduced by 55%. if a game is now R69.99, what was the original prize? Round your answer to the nearset cent.
Answers
Answer:
R155,53
Step-by-step explanation:
55/100x + 69.99 = x
55x + 6999 = 100x
45x = 6999
x = R155,53
A grocer takes a delivery of beverages from your truck at $6 per case. You unloaded 53 cases for the grocer today. How much does the grocer owe you?
Answers
Answer:
318$
Step-by-step explanation:
6*53 = 318$
A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days.
Answers
With the use of formula, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
Word Problem Leading to Exponential FunctionFirst analyze the problem and represent them in exponential function. The decay rate is different from increase rate with minus and plus sign.
Given that a tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Let
I = initial amount injected = 0.9 gramsR = decay rate = 1.15%t = number of days = 60 daysA = the remaining amount of Iodine - 125An exponential model representing the amount of Iodine-125 remaining in the tumor after t days will be
A = I( 1 - R%)^t
Let us use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days by substituting all the given parameters into the formula
A = 0.9 ( 1 - 1.15/100)^60
A = 0.9 ( 1 - 0.0115)^60
A = 0.9 ( 0.9885)^60
A = 0.9 x 0.4995
A = 0.45 grams
Therefore, the amount of Iodine-125 that would remain in the tumor after 60 days is 0.45 grams
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Your grandfather gave you $13.50 with which to buy a present. This covered 5/6 of the cost. How much did the present cost?
Answers
Answer:
Step-by-step explanation:
5/6 x = 13.50 Multiply both sides by 6
5x = 13.50 * 6
5x = 81 Divide by 5
x = 81/5
x = 16.2
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answers
Answer:
The 90% confidence interval is \(15.66< \mu < 15.94 \)
Step-by-step explanation:
From the question we are told that
The population standard deviation is \(\sigma = 2.2\)
The sample mean is \(\= x = 15.8 \ gallon\)
The sample size is n = 669
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 90 ) \%\)
=> \(\alpha = 0.10\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.645\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.645 * \frac{ 2.2}{\sqrt{669} }\)
=> \(E = 0.1399\)
Generally 90% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \(15.8 - 0.1399 <\mu< 15.8 + 0.1399 \)
=> \(15.66< \mu < 15.94 \)
Find q. q/32=6 q=? Help
Answers
Answer:
q=0
Step-by-step explanation:
Hope this helped!!
the answer is 192
Step-by-step explanation:
q/32 = 6
q = 192
The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is shown below.
P = \(\frac{-1}{10} s^{3} +3s^{2} +400\)
(a) Find the amount of money the company should spend on advertising in order to yield a maximum profit.
s = _________ thousands of dollars
(b) The point of diminishing returns is the point at which the rate of growth of the profit function begins to decline. Find the point of diminishing returns.
s = __________ thousands of dollars
Answers
The value of s = 54,000 thousand dollars, and the point of diminishing returns is 40.
What are Maxima and Minima of a Function?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima.
Maximum means take the derivative so:
P = (−1/10)s³+6s²+400dP/ds = (−3/10)s²+12s
Find the stationary point(s):
0 = (−3/10)s²+12s
0= −3s²+120s
0 = −3s(s−40)
So the stationary points are 0 and 40.
Returning to the original method, zero advertising results in a profit of $400K (read the instructions carefully to figure out why it's 400,000), but $40K in advertising results in a profit of -64,000 + 9600 + 400 = -$54,000K.
Thus, the value of s = 54,000 thousands of dollars
Thus, the point of diminishing returns is 40.
Hence, the value of s = 54,000 thousand dollars, and the point of diminishing returns is 40.
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what is 17 (-1/6) +8 (-1/6) will mark brainliest
Answers
Answer:
-4 1/6
Step-by-step explanation:
Answer:
-25/6
Step-by-step explanation:
17 (-1/6) +8 (-1/6)
-17/6 + -8/6
-25/6
Please answer the question below! Please!
(What expression completes the number sentence correctly?)
Answers
6 x ( 3 - 1 ) + 5 ÷ 1
If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
Answers
luke wants to buy an ipod. determine the equivalent cash price if luke makes 18 monthly payments of $31.48 at an interest rate of 15.2% compounded monthly
Answers
Answer:
We can use the formula for the present value of an annuity:
PV = PMT x [(1 - (1 + r)^(-n)) / r]
where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.
Substituting the given values, we have:
PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]
PV = $31.48 x [(1 - 0.5159) / 0.0127]
PV = $1,007.97
Therefore, the equivalent cash price of the iPod is $1,007.97.
What present is 40% of 120% of x
Answers
Answer:
0.48x
Step-by-step explanation:
x times 120% = 1.2x
1.2x times 40% is 0.48x
Which of the following best forms the figure shown
Answers
Answer:
2 rays that meet at an endpoint
Step-by-step explanation: A ray starts with a dot, or point and continues on forever with an arrow. There are two rays in that drawing that start at the same endpoint.
Answer:
2 rays that meet at an endpoint.
Step-by-step explanation:
A ray is straight but has one endpoint and the other end go on infinitely.
A line is straight and goes on infinitely.
A line segment is straight and has two endpoints.
The picture shows two rays meeting at an endpoint.
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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Choose the inequality that represents the following graph.
A x<-5
B x≤-5
C x>-5
D x≥-5
Answers
Answer:
x > -5, so the correct answer is C.
What decimal number does point A on the number line below represent? A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the third tick mark below 0.
−0.75
0.75
−1.25
1.25
Answers
Answer:
-.75
Step-by-step explanation: hope this also helps
Answer:
-075
Step-by-step explanation: