Write 28 as a product of its prime factors.
Write the factors from smallest to biggest.
Answer:
2^2 × 7
hope this helps
Step-by-step explanation:
:))
Find the percent change from the first value to the second. 50; 41
The percent change from the first value to the second will be 18%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The first number is 50 and the second number is 41. Then the percentage change is calculated as,
P = [(50 - 41) / 50] x 100
P = (9 / 50) x 100
P = 9 x 2
P = 18%
The percent change from the first value to the second will be 18%.
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Height (in.)
654321
Plant Growth
B
0 1 2 3 4 5 6
Time (weeks)
Ź
plant A:
plant B:.
Line A
Step 1: Identify two points 4 and 23
ху
4-3
4-2
xy
Step 2: Find the slope and simplify
Step 3: Label the answer with units
Line B
Step 1: Identify two points and
Step 2: Find the slope and simplify
Step 3: Label the answer with units
-1
=1/12
Line A:
1. The points are (4,5) and (2,3)
2. The slope is 1
3. Unit for slope is inch/week
Line B:
1. The points are (4,4) and (2,3)
2. The slope is 1/2
3. Unit for slope is inch/week
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Line A:
1. The points are (4,5) and (2,3) ( write in (x,y) form )
2. slope = (5-3)/(4-2) = 2/2 = 1
( slope= change in y values/ change in x values )
3 . mark the slope as 1 inch/week
Line B:
1. The points are (4,4) and (2,3)
2. slope = (4-3)/(4-2) = 1/2
3 . mark the slope as 1/2 inch/week
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What is the area of polygon EFGH?
PLEASE HELP
A fly makes a bee-line from one corner of Mrs. Tomasi's room
to the opposite corner. The room is 30x 32 feet and 9 feet tall.
What angle is the angle of elevation of the flight path if he flies
straight there?
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
What is hypotenuse?In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.
What is Pythagorean theorem?The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.
Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.
Using pythagorean theorem:
$c^2 = a^2 + b^2$
$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$
Now we can use the tangent function:
$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$
Now we can find the angle, theta, by using the inverse tangent function:
$\theta = \tan^{-1}(\frac{32}{30})$
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
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Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you do not need to enter the units since they are provided to the right of the answer box.)
Answer:
85.932 cm³
Step-by-step explanation:
The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):
\(V=l*w*h\)
The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:
\(V=4.4*3.1*6.3\\V=85.932\ cm^3\)
The volume of this prism is 85.932 cm³.
shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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100 points! asap! Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answer:
A) A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)
Step-by-step explanation:
Given equations:
\(\textsf{Equation 1}: \quad y=-2x+14\)
\(\textsf{Equation 2}: \quad y=2x+2\)
Substitute Equation 2 into Equation 1 and solve for \(x\):
\(\implies 2x+2=-2x+14\)
\(\implies 4x=12\)
\(\implies x=3\)
Substitute found value of \(x\) into Equation 2 and solve for \(y\):
\(\implies y=2(3)+2=8\)
Therefore, the solution to the system is (3, 8).
This is the point of intersection of the two lines.
Find the equation of the line perpendicular to y=1/2x-1 and passes through the point (5,6)
The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.
To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.
The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.
Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:
y - 6 = -2(x - 5)
y - 6 = -2x + 10
y = -2x + 16
Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.
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Why is it important to make sure digits and decimals line up when adding and subtracting numbers with decimals? Explain by evaluating the following problem: 320.456 - 145.73
It is important to make sure digits and decimals line up when adding and subtracting numbers so as to keep the numbers in the proper place-value column.
What is a Decimal?This is referred to a number which has the whole number and fractional part being separated by a decimal point such as 11.23.
The solution of 320.456 - 145.73
320.456
- 145.73 = 174.726
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Use a half angle formula to find the exact value of the expression tan 22.5 degree
Answer:
Step-by-step explanation:
Suppose that an Individual has a body fat percentage of 15.3% and weighs 149 pounds. How many pounds of his weight is made up of fat? Round your answer
to the nearest tenth.
Answer dang whoever he or she is heee thicc
Step-by-step explanation:
Brainliest if correct
\((b^9)^3 = b^{(9 \times 3)} = b^{27}\)
Answer:
the answer is B, \(b^{27}\)
Step-by-step explanation:
Hope this helps!❆
4.131313.... as a fraction and a mixed number
409/99
4 13/99
Step-by-step explanation:Hi there !
4.131313.. = 4.(13) = 4 13/99 = (4*99+13)/99 = 409/99
Good luck !
URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?
Select one:
a.
mean
b.
mode
c.
range
d.
interquartile range
The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.
The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.
Here's how they can use the range to evaluate the effectiveness of the equipment changes:
Collect the measurements of all 25 muffins.
Determine the maximum and minimum measurements.
Calculate the range by subtracting the minimum measurement from the maximum measurement.
If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.
Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.
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The monthly rents for five apartments advertised in a newspaper were $650, $650, $800, $1900, and $820. Use the mean, median, and mode of the rents to answer the question. Which value best describes the monthly rents?
Answer:
The Median Best Describes The Monthly Rents
the mean is add up all the numbers and then divide by the amount of numbers so it is 4820 then divide by 5 = 964 so the mean of all of then is 964
the median you have to put it in slamets to biggest so 650 650 800 820 1900 and then you have to put the one(s) in the middle witch is 800 so the median is 800
the mode is the most common numbers that show up and there is 2 650 and one of everything else so the mode is 650
Hope This Helped
Find rectangular coordinates of the polar coordinates (3,-2)
Find the polar coordinates of the rectangular coordinates (2, 5pi/4)
Answer:
To find the rectangular coordinates of the polar coordinates (3, -2), we can use the following formulas:
x = r cos(theta)
y = r sin(theta)
where r is the distance from the origin to the point, and theta is the angle between the positive x-axis and the line connecting the origin and the point, measured in radians.
In this case, r = 3 and theta = -2. To convert the angle to radians, we can add 2 pi to it, since negative angles represent angles measured clockwise from the positive x-axis in polar coordinates. So, theta = -2 + 2 pi = 4.283 radians.
Using the formulas, we get:
x = 3 cos(4.283) ≈ -1.008
y = 3 sin(4.283) ≈ -2.573
Therefore, the rectangular coordinates of the polar coordinates (3, -2) are approximately (-1.008, -2.573).
To find the polar coordinates of the rectangular coordinates (2, 5pi/4), we can use the following formulas:
r = sqrt(x^2 + y^2)
theta = atan2(y, x)
where x and y are the rectangular coordinates of the point.
In this case, x = 2 and y = 0. To find the angle, we can use the fact that the point is in the fourth quadrant, where x is positive and y is negative. Therefore, the angle is pi + 5pi/4 = 9pi/4 radians.
Using the formulas, we get:
r = sqrt(2^2 + 0^2) = 2
theta = atan2(0, 2) = 0
Therefore, the polar coordinates of the rectangular coordinates (2, 5pi/4) are (2, 9pi/4).
36 x 5 +59 x(234)(51)
the simplified Answer to the given expression 36 x 5 +59 x(234)(51) will be 7,04,286.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given, an expression 36 x 5 +59 x(234)(51)
Simplifying using PEMDAS
=> 36 x 5 +59 x(234)(51)
First, we will open a bracket
=> 36 * 5 + 59 * 11934
Now multiple of the given terms:
=> 180 + 704106
Addition of the last two-term
=> 7,04,286
Therefore, the simplified Answer to the given expression will be 7,04,286.
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Aakash has a liability of 6000 due in four years. This liability will be met with payments of A in two years and B in six years. Aakash is employing a full immunization strategy using an annual effective interest rate of 5%.Calculate |A-B|
Answer:
|A-B|= 586.411565Step-by-step explanation:
We know that = Liability
\(PLiability= \frac{6000}{1.05^{4} }\)
\(\frac{6000}{1.05^{4} }=\frac{A}{1.05^{2} }+\frac{B}{1.05^{6} }\\\\6000(1.05^{2} ) = (1.05^{4} ) +B\\B= 6000(1.05^{2} )-(1.05^{4} )----------(1)\\\\\)
dAssets =dLiability
\(4=2*\frac{\frac{A}{1.05^2} }{\frac{6000}{1.05^4} } +6*\frac{\frac{B}{1.05^6} }{\frac{6000}{1.05^4} } \\4={\frac{6000}{1.05^4}= 2*\frac{A}{1.05^2} +6*\frac{B}{1.05^6}\\\\4[6000(1.05^2)]= 2*A(1.05^4)+6*B\)
From equation 1 we have
\(4[6000(1.05^2)]= 2*A(1.05^4)+6*6000(1.05^2)-6*A(1.05^4)\\4*A(1.05^4)=2*6000(1.05^2)\\A=\frac{2*6000(1.05^2)}{4*(1.05^4)} \\A=272.088435\\\)
Going back to equation 1 we have
\(B= 6000(1.05^2)-A(1.05^4)\\B= 3307.5\\|A-B|= |2721.088435-3307.5|= 586.411565\)
What is 2X to the power of 3 divided by -8X to the power of 4?
Answer: 8 = 23 (-8)4 = (23)4 = 212
1/(2048x)
Step-by-step explanation:Negative number raised to an even power is positive
For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :
(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.
We proved that (-7)6 is equal to (7)6 which is a positive number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved
Dividing exponential expressions : x3 divided by x4 = x(3 - 4) = x(-1) = 1/x1 = 1/x
Final result :
1/2048x
im in middle school
Which of the following sets are infinite sets?
{n∣n ∈ N and n ≤ 492418}
{n∣n ∈ N and n > 228167}
The set of all animals that have ever lived on Earth.
The set of all proper subsets of the natural numbers.
The set of all natural numbers that are multiples of 107844.
Answer:
option 2,5 are correct
Step-by-step explanation:
mark me as brainliest ❤️
Answer:
\(option \: 3) \\ 4) \\ 5) \\ are \: infinite \: set \\ number \: of \: animals \: = \infty \\ subset \: of \: ntural \: number = \infty \\ set \: of \: \: multiple \: of \: 107844 \\ thank \: you\)
help me to give answer....
Ismail school is at the corner of high Street and second Avenue. The corner forms a right angle. How might he describe the way the street meet at his school?
Answer:
Step-by-step explanation:
street never meet
f(x) = 6^2+12x -7
please answer and explainnnn!
Answer:
A) \(x=-1\pm\sqrt{\frac{13}{6}}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)
- Calculate CV for the following numbers: 5, 8, 9, 2, 6. OA. 40.82 B. 120 OC. 0.4083 OD. 1.2
The coefficient of variation or CV of the given numbers is 45.64%.
Given numbers are,
5, 8, 9, 2, 6
We have to find Coefficient of variation.
CV = (Standard deviation / sample mean ) × 100
Sample mean = Sum of the values / total number of values
= (5 + 8 + 9 + 2 + 6) / 5
= 6
Standard deviation = √[(Σ(x - mean)² / (n - 1)]
Σ(x - mean)² = (5 - 6)² + (8 - 6)² + (9 - 6)² + (2 - 6)² + (6 - 6)²
= 30
Standard deviation = √(30 / (5 - 1) = 2.7386
CV = (2.7386 / 6) × 100
= 45.64%
Hence CV is 45.64%.
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I'll MARK THE BRAINLIEST!
The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week. A) Which statement is true about the range? B) Which statement is true about the mean?
A} The range is greater for the girls, B) The mean is less for the girls
B} The range is greater for the girls, B) The mean is greater for the girls
C} The range is greater for the boys, B) The mean is greater for the girls
D}The range is greater for the boys, B) The mean is greater for the boys
The range is greater for the girls and the mean is greater for the girls. So, correct option is B.
A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.
Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.
B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:
(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours
To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:
(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours
Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".
So, correct option is B.
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what is the center of 0.1,0.3,0.02,0.09,0.4,0.05,0.26
Answer: 0.3
Step-by-step explanation: If you re-order them in order of least to greatest, then 0.3 would be in the center
What is the midpoint of the segment shown below?
-10
(-4, 6)
10
-10
(4,-2)
10
Answer:
Step-by-step explanation:
There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT? O 10:25 2.3
Answer:25-10=15
Step-by-step explanation:
25-10