The angle in standard position with a measure of 5π/2 is a 270-degree angle, or a straight angle. The cosine of this angle is 0, and the sine of this angle is -1.
In standard position, an angle is formed by the initial side (the positive x-axis) and the terminal side (the ray representing the angle). A 270-degree angle in standard position corresponds to a straight angle, where the terminal side extends directly opposite to the initial side, forming a straight line. This angle is often represented as a line segment rather than an arc.
The cosine of a 270-degree angle is the x-coordinate of the point where the terminal side intersects the unit circle. Since the terminal side is on the negative y-axis at this angle, the x-coordinate is 0.
The sine of a 270-degree angle is the y-coordinate of the point where the terminal side intersects the unit circle. Since the terminal side is on the negative y-axis, the y-coordinate is -1.
Therefore, for an angle with a measure of 5π/2 (270 degrees), the cosine is 0, and the sine is -1.
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If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level.a. Trueb. False
If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level is True
What is alphabetical index?
An alphabetical index, often known as an index, is a list of words or phrases that appear frequently in a text and which, if listed alphabetically, may assist readers in finding information more quickly.
What is indentation level ?
The much-despised formatting method of indentation gives readers a sense of continuity.
Reasons:
The Alphabetic Index's sub term entries and the Tabular List's inclusion and exclusion notes can both be used to find combination codes.
Only use the combination code when it accurately describes the diagnostic conditions in question or when the Alphabetic Index instructs you to. When the categorization offers a combination code that unambiguously identifies all of the components listed in the diagnosis, multiple coding shouldn't be employed. An additional code should be utilised as a secondary code when the combination code does not provide the requisite specificity in characterising the symptom or problem.
The statement is True
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Whats the area and perimeter to the shape below?
Answer:
Step-by-step explanation:
a) Area of white square = side *side = 8 * 8 = 64 sq.mm
Area of 4 white square = 4 * 64 = 256 sq.mm
compound shape
length = 3 cm = 30 mm
Width = 2 cm = 20 mm
Area of compound shape = length *width = 30 * 20 = 600 sq.mm
Area of the shaded part of the compound shape =
Area of compound shape - Area of 4 white square
= 600 - 256
= 344 sq.mm
b) Perimeter of compound shape = 2*(length + width)
= 2*(30 +20)
= 2* 50
= 100 mm
Please use wilcoxcon rank test where appropriate and show work, thank you.
An arterial blood gas analysis was performed on healthy and ill foals examined at a veterinary teaching hospital to determine agreement between direct measurements of partial pressure of exhaled carbon dioxide (PaCO2) with indirect measurement through a sidestream capnograph inserted into the naris of the foal (PETCO2). Difference between PaCO2 and PETCO2 was calculated for each of the 10 healthy foals and 21 ill foals in study.
(a) Create a stem-and-leaf display for the observed differences PaCO2 - PETCO2 of the 10 healthy foals: -3.5 2.6 1.7 -3.6 -2.8 0.8 3.7 -0.2 -3.1 6.3
(b) Find the five-number summary (minimum, lower quartile, median, upper quartile and maximum) for the data in part (a).
(c) Perform a signed rank test for difference in distribution between PaCO2 and PETCO2 among healthy foals at 5% significance level.
(d) The sample mean and sample standard deviation of PaCO2 - PETCO2 for the 21 ill foals were -2.35 and 4.98, respectively. Is there any difference in population mean between PaCO2 and PETCO2 among ill foals? Use t-tools to answer this question at 5% alpha level.
(e) Provide a 90% confidence interval for the difference in population mean between PaCO2 and PETCO2 among ill foals.
The 90% confidence interval for the difference in population mean between PaCO2 and PETCO2 among ill foals is (-3.61, -1.09).
(a) Stem-and-leaf display for the observed differences PaCO2 - PETCO2 of the 10 healthy foals:
Stem | Leaf
-3 | 5, 6
2 | 6
1 | 7
-3 | 6
-2 | 8
0 | 8
3 | 7
-0 | 2
-3 | 1
6 | 3
(b) Five-number summary (minimum, lower quartile, median, upper quartile and maximum) for the data in part (a):
Minimum = -3.6, Lower Quartile = -3.1, Median = -0.2, Upper Quartile = 3.7, Maximum = 6.3
(c) Signed rank test for difference in distribution between PaCO2 and PETCO2 among healthy foals at 5% significance level:
The null hypothesis is that the PaCO2 and PETCO2 among healthy foals follow the same distribution. Using a Wilcoxon signed rank test, the p-value is 0.80 and is greater than 0.05 (alpha), therefore, there is no significant difference in distribution between PaCO2 and PETCO2 among healthy foals.
(d) Is there any difference in population mean between PaCO2 and PETCO2 among ill foals? Use t-tools to answer this question at 5% alpha level:
Using a two-sample t-test, the p-value is 0.00 and is less than 0.05 (alpha), therefore, there is a significant difference in population mean between PaCO2 and PETCO2 among ill foals.
(e) Provide a 90% confidence interval for the difference in population mean between PaCO2 and PETCO2 among ill foals:
The 90% confidence interval for the difference in population mean between PaCO2 and PETCO2 among ill foals is (-3.61, -1.09).
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The runways at an airport are arranged to Intersect and are bordered by fencing. A security guard needs to patrol the outside fence of the
runways once per shift. What is the estimated distance she walks every shift?
Х
5,000 ft
4,000 ft
OA. 5,830 ft
OB. 18,000 ft
OC. 11,660 ft
OD. 23,320 ft
22 Edmentum. All rights reserved.
She logs 18,000 feet of walking each shift based on perimeter of the rectangle field.
The lengths of a rectangle's four sides must be added up to determine the rectangle's perimeter.
The perimeter (P) of a rectangle of length L and width W can be calculated using the following formula:
P = 2L + 2W
For instance, the perimeter of a rectangle with dimensions of 10 metres in length and 5 metres in width would be:
\(P = 2(10) plus 2(5) equals 20 plus 10 metres.\)
Hence, the rectangle's perimeter is 30 metres.
The fencing has a length and a width and is rectangular in design.
Size: 5000 feet
width is 4000 feet.
She will walk a distance equal to the length of the rectangular fence's perimeter.
Perimeter = 2 (length + width) = 2 (5000 + 4,000) = 2 (9000) = 18,000 ft.
She logs 18,000 feet of walking each shift.
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Please any math expert simplify please show me how thank you !
Answer:\(-\frac{4x^2y}{27}\)
Step-by-step explanation:
1.\((-3x^{2} y^5)^-3=-(3x^2y^5)^-3\)
2.\(\frac{-\left(3x^2y^5\right)^{-3}}{\left(2x^4y^8\right)^{-2}}\)
*Apply The Fraction Rule \(\frac{-a}{b} =-\frac{a}{b}\)*
3.\((2x^4y^8)^-2=\frac{1}{2^2 x^8 y^16}\)
4.\(-\frac{\left(3x^2y^5\right)^{-3}}{\frac{1}{2^2x^8y^{16}}}\)
5.\((3x^2y^5)^-3=\frac{1}{3^3 x^6 y^15}\)
6.\(=-\frac{\frac{1}{3^3x^6y^{15}}}{\frac{1}{2^2x^8y^{16}}}\)
7.\(=-\frac{\frac{1}{3^3x^6y^{15}}}{\frac{1}{2^2x^8y^{16}}}=\frac{2^2 x^8 y^16}{3^3 x^6 y^15}\)
8.\(=-\frac{2^2x^8y^{16}}{3^3x^6y^{15}}\)
*Subtract the numbers 8-6=2*
9.\(=\frac{2^2x^2y^{16}}{3^3y^{15}}\)
*apply the Exponent Rule \(\frac{x^a}{x^b} =x^a-b\)*
\(\frac{x^8}{x^6} =x^8^-^6\)
10.\(=\frac{2^2y^{16}x^{8-6}}{3^3y^{15}}\)
*Subtract the numbers 8-6=2
11.\(=\frac{2^2x^2y^{16}}{3^3y^{15}}\)
apply the Exponent Rule \(\frac{x^a}{x^b} =x^a-b\)*
\(\frac{y^16}{y^15} =y^16-^15\)
12.\(\frac{2^2x^2y^{16-15}}{3^3}\)
*Subtract the numbers 16-15=1
13.\(=-\frac{2^2x^2y}{3^3}\)
Final Answer:
14.\(=-\frac{4x^2y}{27}\)
I hope this helps :)
Brainlest Please!
Please help! giving all the points I have!!! will give brainliest!!
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of hours Total number of students
0 1
1 3
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for 1 hour.
1.0
0.9
0.3
0.1
hellppppppp ASAP
The probability that a student studied for 1 hour will be 0.10. Then the correct option is D.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below.
Number of hours Total number of students
0 1
1 3
2 2
3 5
4 9
5 7
6 3
The total number of students is given as,
Total = 1 + 3 + 2 + 5 + 9 + 7 + 3
Total = 30
Then the probability that a student studied for 1 hour is given as,
P = 3 / 30
P = 0.10
The probability that a student studied for 1 hour will be 0.10. Then the correct option is D.
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Find the perimeter and area of the regular polygon to the nearest tenth.
The perimeter of the pentagon is 17.63 ft, and the area is 21.4ft²
How to find the perimeter and the area of the polygon?First let's find the perimeter, here we have a pentagon.
Remember that theinterior angles of a pentagon are of 108°, then the angle in the right corner of the right triangle in the diagram (the one with an hypotenuse of 3ft) is:
a = 108°/2 = 54°
Then the bottom cathetus has a length of;
L = 3ft*cos(54°) = 1.76ft
Then each side has a lengt:
length = 2*1.76ft = 3.53ft
And the perimeter is 5 times that:
perimeter = 5* 3.53ft = 17.63 ft
Now let's find the area
The height of the right triangle is:
h = 3ft*sin(54°) = 2.43ft
Then the area of each of these triangles (we have a total of 10 inside the pentagon) is:
A= 2.43ft*1.76ft/2 = 2.14 ft²
Then the area of the pentagon is:
A = 10*2.14 ft² = 21.4ft²
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Explain how you can write the standard form of a decimal given in word form
Answer:
To write a decimal in word form, follow these steps: Write the whole number part. Write "and" for the decimal point. Write the decimal part the same way you would write a whole number.
Step-by-step explanation:
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With the current, you can canoe 64 miles in 4 hours. Against the same current, you can canoe only ¾ of this distance in 6 hours. Find your rate in still water and the rate of the current.
What is the rate of the canoe in still water?
miles per hour.
Therefore, the rate of the canoe in still water is 36 miles per hour.
Let's assume the rate of the canoe in still water is represented by r (miles per hour), and the rate of the current is represented by c (miles per hour).
When paddling with the current, the effective speed of the canoe is increased by the rate of the current, so the equation for the distance can be written as:
(r + c) * 4 = 64
When paddling against the current, the effective speed of the canoe is decreased by the rate of the current, so the equation for the distance can be written as:
(r - c) * 6 = (3/4) * 64
Simplifying the second equation:
6(r - c) = (3/4) * 64
6r - 6c = 48
Now we have a system of two equations:
(r + c) * 4 = 64
6r - 6c = 48
We can solve this system of equations to find the values of r and c.
Multiplying equation 1) by 6, we get:
6(r + c) = 6 * 64
6r + 6c = 384
Adding this equation to equation 2), the variable c will be eliminated:
6r + 6c + 6r - 6c = 384 + 48
12r = 432
Dividing both sides by 12, we find:
r = 36
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Find two linearly independent solutions of 2x²y" - xy' + (-4x + 1)y = 0, x > 0 of the form
Y₁ = x" (1+ a₁x +а2x² +аzx³ +...)
y₂ = x2 (1+b₁x + b²x² + b²x² + ...)
where ri > T2.
Enter
T1 =
a1 =
a2 =
a3 =
r2 =
b1 =
b2 =
b3 =
2.
Step-by-step explanation:
T1 = 0
a1 = -1/4
a2 = -1/8
a3 = -1/16
r2 = 1
b1 = 1/2
b2 = 1/8
b3 = 1/48
The scores for the 100 SAT tests have a sample mean of 500 and a standard deviation of 15 and it is appearing to be normally distributed. Out of 100 students how many students would you expect to have a score between 485 and 515
In a sample of 100 SAT test scores with a mean of 500 and a standard deviation of 15, Specifically, if the distribution of scores is approximately normal, we can estimate the number of students who would likely score between 485 and 515.
Considering that the mean score is 500 and the standard deviation is 15, which represents the average distance of scores from the mean, we can calculate the z-scores for both 485 and 515. The z-score formula is calculated as (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. Using this formula, we find that the z-score for 485 is -1.0 and the z-score for 515 is +1.0.
Next, we can refer to a standard normal distribution table or use statistical software to determine the proportion of scores falling between -1.0 and +1.0, which corresponds to the range of 485 to 515 in terms of z-scores. This proportion can be interpreted as the percentage of students expected to score within that range. To obtain the actual number of students, we multiply this proportion by the total sample size of 100.
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b = 21 feet h = 16 feet Find the area of the triangle. 168 sq. feet 85 sq. feet 100 sq. feet 108 sq. feet
Answer:
168 sq
Np also you could've just searched it up
Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *
Answer:
See answers below
Step-by-step explanation:
Convert: a) 8250 g =________________kg b) 10 3/4 l =______________ ml c) 6 m 5 cm =_____________ cm d) 9 km 50 m =____________m *
a) Note that 1000g = 1kg
8250g = x
1000 * x = 8250
1000x = 8250
x = 8250/1000
x = 8.25kg
b) 10 3/4 l to ml
1l = 0.001ml
10 3/4 l = x
Cross multiply
1 * x = 10 3/4 * 0.001
x = 43/4 * 0.001
x = 0.043/4
x = 0.01075ml
c) 6m 5cm to cm
Since 1m = 100cm
6m 5cm
= 6(100) + 5
= 600 + 5
= 605cm
d) 600km 50m to m
1000m = 1km
x = 9km
x = 9000m
600kn 50m
= 9000m + 50m
= 9050m
a(n) ? is a device that indicates whether two ac sources to be connected in parallel are in the correct phase relationship.
The device that indicates whether two AC sources to be connected in parallel are in the correct phase relationship is called a synchronizing device.
A synchronizing device is a mechanism that ensures that two AC sources are in sync when they are connected in parallel. It's used to match the voltage, frequency, and phase angle of two alternating current (AC) sources.
It guarantees that the power supplied by both generators is synchronized, allowing them to be combined into a single electrical system without disrupting the balance of the current or causing a short circuit.
As a result, it is critical to the safe and efficient operation of power systems. A phase sequence indicator (PSI) or a synchroscope is often used as a synchronizing device. It works by providing an indication of the voltage difference, the phase angle difference, and the frequency difference between two AC sources that are to be synchronized.
Therefore, a synchronizing device is an instrument that determines whether two alternating current (AC) sources to be connected in parallel are in the appropriate phase relationship.
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Heather's desk is 3 feet long. About how long is it in meters? Use 1 foot = 0.305
Answer:
0.9144 or 0.9 (rounded)
Step-by-step explanation:
0.3048*3= 0.9144 (0.9 rounded up)
or
0.305*3= 0.915 (0.9 rounded up)
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Have a nice day! ( ゚д゚)つ Bye
Teresa wants to buy 2 new tires for her mountain bike. She has budgeted $120 for the tires, but after researching costs, knows she may end up spending within $25 of that amount
Teresa needs to buy two new tires for her mountain bike.
With a budget of $120, she will likely spend within $25 of that amount.
To help her find the best deal, Teresa should first research what type of mountain bike tire she needs. She can look at the bike's current tires to determine the size, or she can look up the bike model and size online. She should then research prices at a variety of local bike shops and online retailers to compare costs.
Once she finds the best price, Teresa should look for discounts and coupon codes that she can use to reduce the cost of her tires. She should also make sure she is aware of any extra costs, such as shipping and taxes.
With some research and savvy shopping, Teresa should be able to find two mountain bike tires that fit within her budget of $120 and that will keep her bike running smoothly.
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The function H(x) equals 0.6 X plus 3.8 models the height in inches of a stack of X cups. What key feature is H(0)?
Answer:
Step-by-step explanation:
0.6 add thatby 3.8 and the answer is 5
Suppose you have a job that pays $13.50 per hour and you work anywhere from 10 to 40 hours per week. a. Write an equation, with a restriction on the variable I, that gives the amount of money, y, you will earn for working 2 hours in one week. y = _____ , Preview with ____ <= x <= ____ b. Use the function rule you have written in part a. to find the y values for the given z values: x = 10, y = ___ x = 20, y= ___
x = 30, y = ____. x = 40, y = ____ c. Construct a line graph from the information found in b. 520+ -480+ 440+ 400- 360 320- 280- 240 200 160+ 120+ 80- 40+ 10 20 30 40 Clear All Draw: Line Dot Open Dot d. State the domain and range of this function. Domain: ____ <= x <= ______
Range: <= y <= _____
e. What is the minimum amount you can earn in a week with this job? You'll earn at least $ ______.
What is the maximum amount? You can earn up to $ ____.
The maximum amount you can earn is $540
a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.
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The quadrilateral WXYZ is a square. The coordinates of the vertices W and X are (-3, 2) and (5, 3) respectively. Click to match each side of
the square with its slope.
The slope of sides WX and YZ are 1/8 and the slope of XY and ZX are -8.
The given coordinates of W and X make a line WX with a slope of:
W = (-3,2)
X = (5,3)
m = y₂ - y₁
x₂ - x₁
m = 3 - 2
5 - (-3)
m = 1/8
Since the quadrilateral WXYZ is a square, then each line are perpendicular with each other, with 2 sides are paralel with another. We can make 2 groups of line with equal slope such as:
WX // YZ --> slope = m₁
XY // ZW --> slope = m₂
m₁ . m₂ = -1 --> perpendicular
We have find the slope of WX equals to 1/8, we name this slope as m1. We need to find the other slope that is perpendicular to m1.
m₁.m₂ = -1
1/8 m₂ = -1
m₂ = -8
Then, each side with its respective slope are:
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The slope of the sides are
WX = 1/8, XY = -8, ZW = -8 and YZ = 1/8
How to determine the slope of each sideFrom the question, we have the following parameters that can be used in our computation:
WXYZ is a square. The coordinates of the W and X are (-3, 2) and (5, 3)The slope of side WX can be calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3, 2) and (5, 3)
Substitute the known values in the above equation
So, we have the following equation
WX = (3 - 2)/(5 + 3)
WX = 1/8
Parallel lines have equal slopes
So, we have
YZ = WX = 1/8
The slopes of perpendicular lines are opposite reciprocals
So, we have
XY = ZW = -8
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Find the slope of the line passing through
these points:
(4,3), (-1,6)
Answer:
(-5,3)
Step-by-step explanation:
move five to the left to get 4 to -1 and 3 up to get 3 to 6
could someone help
what is cos(360°+x) equal to
Answer:
1
Step-by-step explanation:
We know the value of cos 360° is always equal to 1.
Answer:
cos(360 + x) = cos x
Proof:
cosine identity:
cos(x + y) = cosxcosy - sinxsiny
or
cos(360 + x) = cos360cox - sin360sinx
but
cos360 = 1 and sin360 = 0
Therefore,
cos(360 + x) = cos x
Does anyone know what 354 times 781 is?
Answer:
It is 276474
Step-by-step explanation:
how many 5-digit zip code numbers are possible? how many of these numbers contain no repeated digits?
There are a total of 100,000 possible 5-digit zip code numbers, ranging from 00000 to 99999. This is because there are 10 possible numbers for each digit in the code, and there is 5 digits total, resulting in \(10^5\) or 100,000 possible combinations.
To determine how many of these numbers contain no repeated digits, we can use the principle of permutation. The first digit of the zip code can be any number from 0 to 9, so there are 10 choices for the first digit. For the second digit, there are only 9 choices left (since we cannot repeat the first digit), for the third digit, there are only 8 choices left, and so on. Therefore, the total number of 5-digit zip codes with no repeated digits can be calculated using the formula for permutation: 10P5 = 10!/5! = 30,240. This means that out of the 100,000 possible 5-digit zip codes, only 30,240 of them contain no repeated digits. In summary, there are 100,000 possible 5-digit zip code numbers, and out of these, only 30,240 contain no repeated digits.
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write an explicit formula for a subscript n, the nth term of the sequence 8, 11, 14,...
please please help
The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
The Sequences 8, 11, 14,...
first term a = 8
common difference = 11 - 8 = 3
Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3
Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.
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May Someone Please Give Me The Answers To The Problems I Haven’t Done (Please Mark Which Ones They Are)Thank You!!
The simplest form of the ratios are:
(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3What are ratios?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).
So, the ratios in the simplest form are:
We can observe that the simplest form of all the ratios is similar which is 3.
Therefore, the simplest form of the ratios are:
(A) 3/1 = 3(B) 6/2 = 3(C) 18/6 = 3(D) 36/12 = 3Know more about ratios here:
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4 The scatterplot shows the relationship between the weight
pounds and the age in weeks of a certain dog breed.
Dog Weight
100
(spunod) 14E
90
80
70
60
●
●
.. how would you explain this answer
Based on the given scatterplot the best prediction of weight of the 28 week old dog will be approximately 75 lb pounds.
In the given scatterplot in the x-axis we find the age of the dog in weeks and on the y-axis there is the weight of the dog per each week.
From the given scatterplot after observing closely, we can see that at 28 weeks which is in between 26 and 30, the weight of the dog will be approximately present at 75 lb which is in between 70 lb and 80 lb pounds on the y-axis.
From the above explanation, we can conclude that the weight of the 28 week old dog is 75 lb pounds.
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Given question is not having enough information, so I am attaching the complete question below:
find a solution for 4x+8=3x+14
Answer:
Hi
Please mark brainliest ❣️
Thanks
Step-by-step explanation:
By collecting like terms
4x - 3x = 14 -8
x = 6
Express the relationship between x + 2 and -2x + 8 as a single equation
Answer:
\(= -2x^2 +4x+ 16\)
Step-by-step explanation:
From the given equation:
\((x+ 2 ) \ and \ (-2x +8)\)
As a single equation, we have:
\(= (x + 2) \ \times \ ( -2x + 8) \ = 0\)
open brackets
\(\implies -2x^2 +8x +(-4x) + 16\)
\(= -2x^2 +4x+ 16\)