The expression that represent the area of the cabin for rectangular floor plan is 2w² + 5w.
What is the area of rectangular shape?
In essence, the area of a rectangle is equal to the sum of its length and breadth. In contrast, the circumference of a rectangle is equal to the product of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.
Given that the length of a cabin is equal to 5 feet more than twice the width.
Assume that the width of the cabin be w.
Then the mathematical expression of twice the width is 2w.
Then the mathematical expression of 5 feet more than twice the width is 2w + 5.The length of the cabin is 2w + 5 feet.
The area of rectangular shape is product of length and width.
The area of the cabin is (2w + 5)w
Apply distributive property:
= 2w × w + 5 × w
= 2w² + 5w
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City P has a temperature of −4 °F. City Q has a temperature of −8 °F.
Use the number line shown to answer the questions:
Number line from negative 8 to positive 8 in increments of 1 is shown.
Part A: Write an inequality to compare the temperatures of the two cities. (3 points)
Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points)
Part C: Use the number line to explain which city is warmer. (3 points
PLEASE EXPLAIN PART A AND B AND C
Hello! This is a very long and complex question that sadly, I won't be able to solve for you. I just wanted to say that the girl above me seems like she tried really hard to give you that answer so u should mark her brainliest!
Have a great day/night! :)
8-7x-6-8x=5
solve for x
Answer:
x =-1/5Step-by-step explanation:
\(8-7x-6-8x=5\\\\\mathrm{Group\:like\:terms}\\-7x-8x+8-6=5\\\\\mathrm{Add\:similar\:elements:}\:-7x-8x=-15x\\-15x+8-6=5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\-15x+2=5\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\-15x+2-2=5-2\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}\)
DIRECTIONS: Solve each problem using dimensional analysis. Every number must have a unit. Work must be shown. Conversion factors are given below 11). How many minutes are in 180.0 days? 12). If a person weighs 125lbs,8oz, how many mg does s/ he weigh? 13). The distance from Santa Maria to Los Alamos is 16.25mi. What is the distance in cm ? 14). Santa Maria has an elevation of 6.30×10
5
mm. How many km is this elevation? 15). If a projectile travels 3.00×10
3
feet in one second, how far will it travel in 18 minutes? 16). A small herd of cattle consumes fourteen bales of hay in two weeks. How many bales will this herd consume in a year? 17). During the previous year, Zach's weather station measured 0.8 yards of rain. Express this amount in cm. 18). If a swimmer swims 85.4 yards in five minutes, how many meters will s/he swim in 70.0 seconds? 19). Saffron costs $368.00 per ounce. Determine how many grams you can purchase for $15.00. 20). How many grams are equivalent to 1.80×10
−4
tons? (English tons)
11. There are 259,200 minutes in 180.0 days.
12. A person weighing 125 pounds 8 ounces weighs approximately 56,699,168 milligrams.
13. The distance from Santa Maria to Los Alamos is approximately 2,610,830 centimeters.
14. Santa Maria's elevation of 6.30 × 10^5 millimeters is approximately 0.63 kilometers.
15. The projectile will travel approximately 54,000 feet in 18 minutes.
16. The herd will consume approximately 364 bales of hay in a year.
17. 0.8 yards is approximately 73.152 centimeters.
18. The swimmer will swim approximately 78.00696 meters in 70.0 seconds.
19. You can purchase approximately 1.15896 grams of saffron for $15.00.
20. 1.80 × 10^-4 tons is approximately 16.32853 grams.
11. To convert days to minutes, we'll use the conversion factor 1 day = 24 hours and 1 hour = 60 minutes.
180.0 days * 24 hours/day * 60 minutes/hour = 259,200 minutes
Therefore, there are 259,200 minutes in 180.0 days.
12. To convert pounds and ounces to milligrams, we'll use the conversion factors:
1 pound = 453.592 grams
1 ounce = 28.3495 grams
1 gram = 1000 milligrams
125 pounds * 453.592 grams/pound * 1000 milligrams/gram + 8 ounces * 28.3495 grams/ounce * 1000 milligrams/gram = 56,699,168 milligrams
Therefore, a person weighing 125 pounds 8 ounces weighs approximately 56,699,168 milligrams.
13. To convert miles to centimeters, we'll use the conversion factor 1 mile = 1609.34 meters and 1 meter
= 100 centimeters.
16.25 miles * 1609.34 meters/mile * 100 centimeters/meter = 2,610,830 centimeters
Therefore, the distance from Santa Maria to Los Alamos is approximately 2,610,830 centimeters.
14. To convert millimeters to kilometers, we'll use the conversion factor 1 kilometer = 1,000,000 millimeters.
6.30 × 10^5 millimeters * 1 kilometer/1,000,000 millimeters = 0.63 kilometers
Therefore, Santa Maria's elevation of 6.30 × 10^5 millimeters is approximately 0.63 kilometers.
15. To convert feet to minutes, we'll use the conversion factor 1 minute = 60 seconds.
3.00 × 10^3 feet * 1 minute/60 seconds = 50 feet/second
To convert 18 minutes to seconds:
18 minutes * 60 seconds/minute = 1080 seconds
50 feet/second * 1080 seconds = 54,000 feet
Therefore, the projectile will travel approximately 54,000 feet in 18 minutes.
16. To find the number of bales of hay consumed in a year, we'll use the conversion factor that there are 52 weeks in a year.
14 bales * (52 weeks/2 weeks) = 364 bales
Therefore, the herd will consume approximately 364 bales of hay in a year.
17. To convert yards to centimeters, we'll use the conversion factor 1 yard = 91.44 centimeters.
0.8 yards * 91.44 centimeters/yard = 73.152 centimeters
Therefore, 0.8 yards is approximately 73.152 centimeters.
18. To convert yards to meters, we'll use the conversion factor 1 yard = 0.9144 meters.
85.4 yards * 0.9144 meters/yard = 78.00696 meters
Therefore, the swimmer will swim approximately 78.00696 meters in 70.0 seconds.
19. To convert ounces to grams, we'll use the conversion factor 1 ounce
= 28.3495 grams.
$15.00 * (28.3495 grams/$368.00) = 1.15896 grams
Therefore, you can purchase approximately 1.15896 grams of saffron for $15.00.
20. To convert tons to grams, we'll use the conversion factor 1 ton
= 907,184.74 grams.
1.80 × 10^-4 tons * 907,184.74 grams/ton = 16.32853 grams
Therefore, 1.80 × 10^-4 tons is approximately 16.32853 grams.
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define a quadratic function y=f(x)that satisfies the given conditions. axis of symmetry x=-1 , maximum value 4, passes through (-16,-41).
In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function
A quadratic function can be written in the form y = a(x-h)² + k, where (h,k) is the vertex of the parabola and a determines the shape and direction of the opening of the parabola.
To satisfy the given conditions, we know that the vertex of the parabola must lie on the axis of symmetry x = -1, and that the maximum value of the function is 4.
Using this information, we can write the quadratic function as y = a(x+1)² + 4. To determine the value of a, we can use the fact that the function passes through the point (-16,-41).
Substituting these values into the equation, we get -41 = a(-16+1)² + 4. Solving for a, we get a = -1/9.
Therefore, the quadratic function that satisfies the given conditions is y = (-1/9)(x+1)² + 4.
To find a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41), we can use the general form y=a(x-h)²+k. Since the vertex of the parabola must lie on the axis of symmetry, we can set h=-1. The maximum value of the function occurs at the vertex, so we know k=4. By substituting the point (-16,-41) into the equation, we can solve for the value of a and obtain a=-1/9. Therefore, the quadratic function is y= (-1/9)(x+1))²+4.
In conclusion, a quadratic function that satisfies the conditions of having an axis of symmetry at x=-1, a maximum value of 4, and passing through the point (-16,-41) is y= (-1/9)(x+1)²+4. By using the general form of a quadratic function and the information given, we can determine the vertex and value of a, which allows us to write the equation of the parabola in standard form.
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The answer to this question?
Answer: 0.429
Step-by-step explanation: Use a calculator and put the fraction and hit enter to get it in decimal form. You should get a number like 0.42857142857 but the problem asks us to round to the nearest thousandth. Since there is a 5 in the ten-thousandth place, we must round up. Therefore, the final answer will be 0.429.
The the area of the composite figures below.
The area of the composite figure is the sum of the area of all rectangle which 700cm²
What is the area of the composite figure?To find the area of the composite figure, we need to divide the figure into small parts and the find the area.
In this problem, we can divide the figure into different rectangular parts
Area of a rectangle; length * width
1. A = L * W = 10 * 5 = 50 cm²
2. A = L * W = 10 * 5 = 50 cm²
3. A = L * W = 20 * 30 = 600cm²
The area of the composite figure is the sum area of the rectangles.
A = 50 + 50 + 600 = 700cm²
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What expression equals 6 when a equals and b equals 1/3
Could someone please help :)
Step-by-step explanation:
3 4
is ur answer hope u got it
I need to know the transformation of the shape
Answer:
is there anything underneath it? it says which of the following
Step-by-step explanation:
If the m∠1 =57°, Find the measure of ∠6
A- 123 °
B- 57 °
C- 180 °
D- Cannot be determined
Answer:
123
Step-by-step explanation:
\(180 - 57 = 123\)
The solution is, the value of m∠6 is 123, i.e. A- 123 °.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the given figure we get,
angle 1 is equal to angle 5
as they are corresponding angles,
so, m∠1 =57° = m∠5
now, we have,
that the sum of 5 & 6 is 180
so, they are supplementary angles.
i.e. m∠6 = 180 - m∠5
=180 - 57
=123
Hence, The solution is, the value of m∠6 is 123, i.e. A- 123 °.
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-8
-6
A
6
-6
L
to t
4
9
8
Domain: [-5, 1)
Range: [-4, 7)
The range and domain of the graphed function are:
Domain: [-5, 1)
Range: [-4, 7)
What are the Domain of a Function?If a function is graphed on a coordinate plane, all values on the x-axis are the domain while those on the y-axis make up the range of the function.
In the given graphed function, the domain starts from -5 up to 1, while the range starts from -4 up to 7.
Therefore, the domain and range are:
Domain: [-5, 1)
Range: [-4, 7)
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Convert the following base-2 numbers to base 10: a. (1101011)2 = ([ b. (0.11111)2 = ( c. (110.11100)2 = ( [ 10 (Round the final answer to the nearest whole number.) 10 (Round the final answer to five decimal places.) 10 (Round the final answer to five decimal places.)
The calculated values are as follows:
(1101011)2 is equal to (107)10.
(0.11111)2 is equal to (0.96875)10.
(110.11100)2 is equal to (6.875)10.
a. (1101011)2 = (107)10
To convert a binary number to base 10, you need to multiply each digit of the binary number by the corresponding power of 2 and sum up the results.
(1101011)2 = (1 × 2^6) + (1 × 2^5) + (0 × 2^4) + (1 × 2^3) + (0 × 2^2) + (1 × 2^1) + (1 × 2^0)
= (64) + (32) + (0) + (8) + (0) + (2) + (1)
= (107)10
Therefore, (1101011)2 is equal to (107)10.
b. (0.11111)2 = (0.96875)10
To convert a binary fraction to base 10, you need to multiply each digit of the binary fraction by the corresponding negative power of 2 and sum up the results.
(0.11111)2 = (1 × 2^-1) + (1 × 2^-2) + (1 × 2^-3) + (1 × 2^-4) + (1 × 2^-5)
= (0.5) + (0.25) + (0.125) + (0.0625) + (0.03125)
= (0.96875)10
Therefore, (0.11111)2 is equal to (0.96875)10.
c. (110.11100)2 = (6.875)10
To convert a binary number with fractional part to base 10, you need to split the number into its integer and fractional parts. Then, convert each part separately using the same method as in previous examples.
For the integer part:
(110)2 = (1 × 2^2) + (1 × 2^1) + (0 × 2^0)
= (4) + (2) + (0)
= (6)10
For the fractional part:
(0.11100)2 = (1 × 2^-1) + (1 × 2^-2) + (1 × 2^-3) + (0 × 2^-4) + (0 × 2^-5)
= (0.5) + (0.25) + (0.125) + (0) + (0)
= (0.875)10
Combining the integer and fractional parts:
(110.11100)2 = (6) + (0.875)
= (6.875)10
Therefore, (110.11100)2 is equal to (6.875)10.
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find the value of x so that the function has the given value
f(x) = 4x -3; f(x) = 33
Answer:
x = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 4x - 3
f(x) = 33
Step 2: Solve for x
Substitute: 33 = 4x - 3Isolate x term: 36 = 4xIsolate x: 9 = xRewrite: x = 9Solve for x. The answer to each problem will match a letter that will allow you to figure out the joke. 1. 5x – 7 = 4x + 3
2. 6 + 2x = 7x – 9
3. 8x + 1 = -8 – x
4. -5 + 12x = 18x + 7
5. -4x + 3 = 5x – 13 - x
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:
5x - 7 + 7 = 4x + 3 + 7
5x = 4x + 10
x = 10
2. 6 + 2x = 7x - 9
To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:
6 + 2x + 9 = 7x - 9 + 9
2x = -3
x = -3/2
3. 8x + 1 = -8 - x
To solve for x, we can add x to both sides of the equation and add 8 to both sides:
8x + 1 + x = -8 - x + x + 8
9x + 1 = 0
x = -1/9
4. -5 + 12x = 18x + 7
To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:
-5 + 12x - 12x = 18x + 7 - 12x
-5 = 6x + 7
x = -6
5. -4x + 3 = 5x - 13 - x
To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:
-4x + 3 + x = 5x - 13 - x + x + 3
-3x = -10
x = 10/3
The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3
That gives you the letters "joke"
Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1. 5x – 7 = 4x + 3.
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Evaluate:
a
ˉ
=
(12.1s−8.73s)
(7.38
s
m
−4.91
s
m
)
3.63
s
2
m
0.733
s
2
m
−1.76
s
2
m
−8.53
s
2
m
Evaluate:
v
ˉ
=
(t
1
+t
2
)
(d
1
+d
2
)
where d
1
=173.kmd
2
=35.1 kmt
1
=243.mint
2
=31.7 min Hint: km is the abbreviation for kilometers and you know how many seconds there are in a minute. It is easiest to perform the calculation in the given units and then perform the unit conversion as the final step. 3.42×10
3
s
m
4.55×10
−2
s
m
30.3
s
m
12.6
s
m
Evaluate:
a=
9.12×10
−2
kg
4×(7.34×10
−4
s
2
kgm
)
3.22×10
2
s
2
m
3.22×10
−6
s
2
m
3.22
s
2
m
3.22×10
−2
s
2
m
(1)The value of a_ is approximately 1.3634 m/s. (2)The value of v is approximately 0.0792 m/s. (3)The value of a is approximately 31.09 m^2/kg.
To evaluate the given expressions, we'll perform the calculations step by step:
1. Evaluating a_ = (12.1s - 8.73s) / (7.38s/m - 4.91s/m) / 3.63s^2/m / 0.733s^2/m / -1.76s^2/m / -8.53s^2/m
First, we simplify the numerator and denominator separately:
Numerator: 12.1s - 8.73s = 3.37s
Denominator: 7.38s/m - 4.91s/m = 2.47s/m
Now we can calculate the result:
a_ = (3.37s) / (2.47s/m) / 3.63s^2/m / 0.733s^2/m / -1.76s^2/m / -8.53s^2/m
Dividing the numerator by the denominator:
a_ = (3.37s) / (2.47s/m) = 1.3634 m/s
Therefore, the value of a_ is approximately 1.3634 m/s.
2. Evaluating v = (t1 + t2) / (d1 + d2)
Given:
d1 = 173.0 km
d2 = 35.1 km
t1 = 243.0 min
t2 = 31.7 min
Converting the distances to meters:
d1 = 173.0 km * 1000 m/km = 173000 m
d2 = 35.1 km * 1000 m/km = 35100 m
Converting the times to seconds:
t1 = 243.0 min * 60 s/min = 14580 s
t2 = 31.7 min * 60 s/min = 1902 s
Now we can calculate the result:
v = (14580 s + 1902 s) / (173000 m + 35100 m)
Simplifying the numerator and denominator:
v = 16482 s / 208100 m
Dividing the numerator by the denominator:
v = 0.0792 m/s
Therefore, the value of v is approximately 0.0792 m/s.
3. Evaluating a = (9.12 × 10^(-2) kg) / [4 × (7.34 × 10^(-4) s^2/kgm^2)] / 3.22 × 10^2 s^2/m / 3.22 × 10^(-6) s^2/m / 3.22 s^2/m / 3.22 × 10^(-2) s^2/m
First, let's simplify the numerator and denominator:
Numerator: 9.12 × 10^(-2) kg = 0.0912 kg
Denominator: 4 × (7.34 × 10^(-4) s^2/kgm^2) = 2.936 × 10^(-3) s^2/kgm^2
Now we can calculate the result:
a = (0.0912 kg) / (2.936 × 10^(-3) s^2/kgm^2) / (3.22 × 10^2 s^2/m) / (3.22 × 10^(-6) s^2/m) / (3.22 s^2/m) / (3.22 × 10^
(-2) s^2/m)
Dividing the numerator by the denominator:
a = (0.0912 kg) / (2.936 × 10^(-3) s^2/kgm^2) = 31.09 m^2/kg
Therefore, the value of a is approximately 31.09 m^2/kg.
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Solve the compound inequality. Express the solution using interval notation. 3x+2≤ 10 or 5x-4>26 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set to the compound inequality is. (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. There is no solution
The correct choice is A. The solution set to the compound inequality is (6, ∞).
To solve the compound inequality, we'll solve each inequality separately and then combine the solutions. First, let's solve the inequality 3x + 2 ≤ 10:
3x + 2 ≤ 10
Subtracting 2 from both sides:
3x ≤ 8
Dividing both sides by 3 (since the coefficient of x is positive):
x ≤ 8/3
Next, let's solve the inequality 5x - 4 > 26:
5x - 4 > 26
Adding 4 to both sides:
5x > 30
Dividing both sides by 5 (since the coefficient of x is positive):
x > 6
Now, let's combine the solutions. We have x ≤ 8/3 from the first inequality and x > 6 from the second inequality. The solution set to the compound inequality is the intersection of these two sets, which is x > 6. Therefore, the solution in interval notation is (6, ∞).
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PLS HELP DUE IN 10MINS!!!!! 67 POINTS AND BRAINLIEST!!!!!
(05.05)The coordinates below are the three vertices of a rectangle. Identify the fourth coordinate and the area of the rectangle.
A coordinate plane with the following points A at negative 3, 3; B at negative 3, negative 2; and C at 4, negative 2.
(4, 3), 35 units squared
(4, 3), 24 units squared
(3, 4), 35 units squared
(3, 4), 24 units squared
Answer:
a
Step-by-step explanation:
The Fourth coordinate is (4, 3) and 35 unit squared.
What are Coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given:
From the graph the fourth coordinate of rectangle is
At x axis = 4
and, y- axis = 3
So, the Area of rectangle ABCD is
= lw
= 7 x 5
= 35 unit squared.
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On a farm, there are 75 pigs, 18 horses, 130 cows, and 25 chickens.
Find the ratio of the number of cows to the total number of animals.
A) 25 : 248
B) 65: 124
C) 75 : 248
D) 9: 124
Answer:
are u sure there are 130 cows?
ADA guidelines mandate a 1:12 ratio of rise to run for wheelchair ramps. How long (horizontally) would a ramp need to extend to elevate a person from a height of 2 feet to a height of 6 feet? If a ramp extends 30 feet horizontally, what is the maximum increase in elevation that it could result in?
48 feet long (horizontally) would a ramp need to extend to elevate a person from a height of 2 feet to a height of 6 feet
What is Scale?The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult. This change makes the idea of size significant in two different ways.
Given, ADA guidelines mandate a 1:12 ratio of rise to run for wheelchair ramps.
That means to raise a height of 1 foot we need to give a slope of 12 feet.
Since total height to elevate = 6-2
Since total height to elevate = 4 feet
Thus, an increase in elevation that could result in = 4 * 12
an increase in elevation that could result in = 48 feet
Also given, If a ramp extends 30 feet horizontally
The maximum increase in elevation that could result in = 30 /12
therefore, the maximum increase in elevation that could result is 2.5 feet.
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what is the formula of Cp ???
what is the equation for the axis of symmetry
Answer:
x=-3
Step-by-step explanation:
The AOS is the x-value of the vertex. As such, the vertex is (-3, 1) and the x-value of that is -3.
Consider the three functions below.
11
f(x) =
6
11
g(x) =
6
11
111* n(X) =
6
11
11
2
Which statement is true?
Answer:
I think the answer is C
Step-by-step explanation:
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
Domain : All real numbers since this is an exponential function.
Range : (0,∞)
Domain : All real numbers since this is an exponential function.
Range : (-∞,0)
So Option C : )The ranges of f(x) and h(x) are different from the range of g(x).
please help will give you upvotes
Answer:
C is the correct answer.
Step-by-step explanation:
\(f(x) = 2x + 2\)
\(f(2) = 2(2) + 2 = 4 + 2 = 6\)
in Chicago, the temperature was 3 degrees. By 5am, it had dropped 15 degrees. What was the temperature at 5am?
There are 4 yellow, 3 blue, 5 green, 7 red and 2 orange sweets in my bag.
3.1.1 What is the probability of taking out a red sweet? Show all your steps.
3.1.2 What is the probability of taking out a green, blue, or orange sweet? Show all your steps.
please help quick writing test
Answer:
1/3 ; 10/21
Step-by-step explanation:
total sweets = 4+3+5+7+2 = 21
3.1.1
7/21 = (7:7)/(21:7) = 1/3
3.1.2
(5+3+2)/21
10/21
All of the following are true of betas and correlation coefficients EXCEPT: Group of answer choices Both betas and correlation coefficients can tell you something about the strength of a relationship. Betas describe the relationship between two variables exactly as correlations coefficients do. Betas from an analysis can be compared with other beta coefficients from the same analysis just as correlation coefficients can. Both betas and correlation coefficients can tell you something about the direction of a relationship.
Answer:
yes look at the eslotp uudh
Both betas and correlation coefficients can tell you something about the direction of a relationship. The corect option is D.
What is coorelation coefficient?The coefficient of variation is a ratio which is used to show the level dispersion of values or treatments around the mean of a set of values.
The coefficient of variation is the ratio of the standard deviation to the mean of a set of numbers or treatments. The higher the coefficient of variation the higher the dispersion from the mean.
The coefficient of variation is the best measure of risk for an isolated single asset. Beta is the a measure of how volatile a particular stock is compared to the market.
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[12-(3square-1) * (10+3-6)
Answer:
Step-by-step explanation: -44
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
one leg of a right triangle is 49 inches longer than the other leg, and the hypotenuse is 91 inches. find the lengths of the legs of the triangle.
The lengths of the legs of the triangle are 20 inches and 48 inches which are determined by Pythagoras' theorem.
Based on the given conditions,
The hypotenuse of a right triangle is 91 inches, and one leg is 49 inches longer than the other which is given in the question.
Let x represent the measurement of the missing side.
One leg of a right triangle is 49 inches = x
Longer than the other leg = x + 49
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
x² + (x + 49 )² = 91²
x² + x² + 2401 + 98x = 8281
Rearrange the likewise terms and apply the arithmetic operation.
2x² + 98x - 5880 = 0
Divide both sides by 2
x² + 49x - 2940 = 0
Split the middle term into two terms,
x² - 35x + 84x - 2940 = 0
Factor the first two terms and the last two terms separately,
x (x-35) + 84 (x-35) = 0
Factor out,
(x-35) (x+84) = 0
Apply zero product property,
x - 35 = 0 (or) x + 84 = 0
x = 35 (or) x = -84
x = 35, -84
Thus, one leg's length would be 35 inches
So the other leg would be (35 + 49) = 84 inches.
Therefore,
The lengths of the legs of the triangle are 35 inches and 84 inches which are determined by Pythagoras' theorem.
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the august precipitation (in inches) and longitude (in degrees) was plotted for 50 american cities. a linear pattern was observed. a regression line to predict august precipitation was computed to be:
The august precipitation (in inches) and longitude (in degrees) were plotted for 50 American cities. a linear pattern was observed. a regression line to predict august precipitation was computed to be: 0.2034
What is regression?
Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aim to establish the nature and strength of the connection between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).
The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS). Based on a line of best fit, linear regression determines the linear connection between two variables. The slope of a straight line used to represent linear regression, therefore, indicates how changing one variable effects changing another. In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept.
The regression equation is \($\hat{y}=8.128-0.054 x$\);
Allendale\($Y=3.69$ inches.\) August was
The fitted value of Allendalis August precipitation when longitude
\($=85.96$\)
\($$\begin{aligned}\hat{y} &=8.128-0.054 \times 85.96 \\&=3.4862 .\end{aligned}$$$\therefore$ The residual for Allendali's Augurs rainfall is$$y-\hat{y}=3.69-3.4862=0.20384$$\)
Hence,
the august precipitation (in inches) and longitude (in degrees) were plotted for 50 American cities. a linear pattern was observed. a regression line to predict august precipitation was computed to be: 0.20384
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