Answer:
SEE BELOW
Step-by-step explanation:
By mid point theorem:
1)
\( MO = 2\times CD\\\\
MO = 2\times 4\\\\
\huge\red {\boxed {MO = 8\: cm}} \\\\\)
2)
\( NO = 2\times CE\\\\
NO = 2\times 8\\\\
\huge\purple {\boxed {NO = 16\: cm}} \\\\\)
3)
\( MN= 2\times DE\\\\
MN = 2\times 7\\\\
\huge\purple {\boxed {MN = 14\: cm}} \\\\\)
4)
\( 2(3x +1) = 20\\\\
3x + 1= \frac {20}{2}\\\\
3x + 1 = 10\\\\
3x = 10-1\\\\
3x = 9\\\\
x = \frac{9}{3} \\\\
x = 3\: units\)
a right triangle has a hypotenuse 2.9 feet long and one of its sides is 2.2 feet long. how long is the other side?
The length of the other side of the right triangle is approximately 1.89 feet.
The length of the other side of the right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, we have:
(Length of other side)² = (Hypotenuse)² - (Length of given side)²
(Length of other side)² = (2.9)² - (2.2)²
(Length of other side)² = 8.41 - 4.84
(Length of other side)² = 3.57
Taking the square root of both sides, we get:
Length of other side = sqrt(3.57) ≈ 1.89 feet
Therefore, the length of the other side of the right triangle is approximately 1.89 feet.
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Which graph represents a density curve, and why? graph A only, because the area under the curve equals 1, and the curve is above the horizontal axis graph B only, because the area under the curve equals 2, and the curve is above the horizontal axis both graph A and graph B, because both curves are above the horizontal axis, and their areas are positive neither graph A nor graph B, because, even though both curves are above the horizontal axis, their areas are not the same value
Answer:
Graph A only, because the area under the curve equals 1, and the curve is above the horizontal axis.
I need help on the fraction part
Answer:
3 1/7 units
Step-by-step explanation:
(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!
An apartment complex rents an average of 2.3 new units per week. If the number of apartments rented each week has a Polsson distribution, then the probability of renting exactly three apartments in a week is ....
The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.
The probability of renting exactly three apartments in a week is given by the Poisson probability function:
\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)
Substituting the values, we get:
\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)
P(X = 3) = (0.09963 * 12.167) / 6
P(X = 3) = 0.2018
Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.
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Solve each system to find the answer
Given:
The system of equations is
\(5g+4k=10\)
\(-3g-5k=7\)
To find:
The solution of given system of equations.
Solution:
We have,
\(5g+4k=10\) ...(i)
\(-3g-5k=7\) ..(ii)
Multiply (i) by 5 and (ii) by 4.
\(25g+20k=50\) ...(iii)
\(-12g-20k=28\) ..(iv)
Adding (iii) and (iv), we get
\(25g-12g=50+28\)
\(13g=78\)
Divide both sides by 13.
\(g=\dfrac{78}{13}\)
\(g=6\)
Put g=6 in (i).
\(5(6)+4k=10\)
\(30+4k=10\)
\(4k=10-30\)
\(4k=-20\)
Divide both sides by 4.
\(k=-5\)
So, the solution of the system of equation is (6,-5).
Therefore, the correct option is A.
Write an equation that is parallel to y=4/5x+1?
Answer:
y=4/5×
Step-by-step explanation:
its parallel. U just have to leave the slope alone but find a different y intercept.
When parallel lines passes through origin (0,0) the the equation of line parallel to \(y=\frac{4}{5}x+1\) is
\(y=\frac{4}{5}(x)\)
Given :
Given the equation is \(y=\frac{4}{5}x+1\)
the given equation is in the form of y=mx +b
where m is the slope and b is the y intercept
\(y=\frac{4}{5}x+1\\slope =\frac{4}{5}\)
when two lines are parallel to each other then the slopes are equal
slope of parallel line = slope of given line
slope of parallel line =\(\frac{4}{5}\)
When parallel lines passes through origin (0,0) the the equation of line parallel to \(y=\frac{4}{5}x+1\) is
\(y-0=\frac{4}{5}(x-0)\\\y=\frac{4}{5}(x)\)
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Which decimal is equivalent to 1/3
Answer:
0.3 with the 3 being repeated
Simply the ratio 6:10
Answer:
3:5
Step-by-step explanation:
Divide both sides by 2
3:5
Can't simplify any further without going into decimals
Answer:
3:5
Step-by-step explanation:
you basically have to divide it by 2 kinda
how many ternary strings (digits 0, 1, or 2) are there with exactly 5 0s, 5 1s and 5 2s?
A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.
Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.
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The local furniture store pays $300 for a dining room table and sells it with a 40% markup.
What is the selling price of the dining room table?
Answer:
$420
Step-by-step explanation:
The wholesale price is $300 and the markup is 40% of that, or
0.40($300) = $120
and so the selling price is $300 + $120 = $420
An easier way to calculate this is to multiply $300 by (1.00 + 0.40), or (1.40), which again comes out to $420.
Answer:
$420!
Step-by-step explanation:
A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes (8 pts)
Answer:
the possible outcomes contain the same number of heads and tails are 70.
tell me if i am right
For each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8\) = 256 possible outcomes.
When flipping a coin, there are two possible outcomes: heads or tails. So, for one flip, there are two possibilities. For two flips, there are two possibilities for the first flip and two possibilities for the second flip, making a total of 2x2=4 possible outcomes.
For three flips, there are two possibilities for the first flip, two for the second flip, and two for the third flip, making a total of 2x2x2=8 possible outcomes.
Similarly, for four flips, there are 2x2x2x2=16 possible outcomes, and for five flips, there are 2x2x2x2x2=32 possible outcomes.
Continuing this pattern, for eight flips, there are 2x2x2x2x2x2x2x2 = 256 possible outcomes.
This can also be calculated using the formula for combinations, which is \(n! / (r!(n-r)!)\) where n is the number of total flips (in this case, 8) and r is the number of heads that we want to get.
For example, to find the number of outcomes where we get exactly 3 heads and 5 tails, we would use the formula:
\(8! / (3!5!) = 56\)
So, there are 56 possible outcomes where we get exactly 3 heads and 5 tails.
In summary, for each coin flip, there are 2 possible outcomes (heads or tails), so for 8 flips, there are \(2^8 = 256\) possible outcomes.
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Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division
Saan po yung divisor?
Kailangan ko po
Write an
graph:
equation for the following
Answer:
y=-(2/3)x-1
Step-by-step explanation:
y=kx+n
n= -1
k = (y2-y1)/(x2-x1) = -2 / 3 = -2/3
y=-(2/3)x-1
Select all the sets of ordered pairs that the graph of the equation y− 1 =−2(x −2) contains. Group of answer choices (0, −2) and (1, 3) (−1, 7) and (2, 1) (1, 2) and (4, 3) (0, 5) and (−2, 9) (3, −1) and (2, −1)
Answer:
the answer is
B. (0, 5) and (−2, 9)
C. (−1, 7) and (2, 1)
Step-by-step explanation:
hope that help...…..…..…
if 3 + (2/x) = 1, the value of x is
Answer:
x = -1
Step-by-step explanation:
Isolate x.
First, subtract 3 from both sides.
3 + (2/x) - 3 = 1 - 3
2/x = -2
Then, multiply by x on both sides.
2/x * x = -2 * x
2 = -2x
Lastly, divide by -2 on both sides.
2 / -2 = -2x / -2
-1 = x
GUYS I NEED HELP I have no idea what to do and I can’t ask the teacher for help because it’s night already-
Answer:
x=6
Step-by-step explanation:
127-83=9x-10
44=9x-10
+10.0 +10.0
54=9x
divide by 9 on both sides
x = 6
PHOTOGRAPHY A photographer sells his photographs for $20 each at an art show. He spent $185 to print the photographs and made a profit of $55 at the art show. Write and solve an equation to find p, the number of photographs sold.
Answer:
p = 12
Step-by-step explanation:
total sales: 20p
total cost: 185 + 55
20p = 185 + 55
20p = 240
p = 12
12 photographs sold.
What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.
let the number of photograph sold is p.
So, total sales = 20p
and, total cost
= 185 + 55
So,
20p = 185 + 55
20p = 240
p = 12
Hence, 12 photographs sold.
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answer bdbdbdhdhdhhs
Answer:
B
Step-by-step explanation:
common means you want the same denominator so you want the denominator to be both 10. 2 x 2 = 4, 2 x 5 = 10 so 4/10
Answer:
answer is c 3/10 and 4/10
Step-by-step explanation:
alright so 10. 5 can go into 10 2 times. the 2 times is which is what we multiply the numerator by and the 5 by both multiplying by 2 equaling 4/10 for simpler explanation
5 goes into 10 2 times
multiply both sides by 2
2 x 2 = 4
-- --
5 x 2 = 10
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C. the function f(x) has the greater y-intercept by 72 units
Step-by-step explanation:
find f(x) y-intercept:
\(3(0-5)^2\\\\=3(-5)^2\\\\=3(25)\\\\=75\)
the y-intercept of g(x) is 3
to find the difference subtract 3 from 75 and you get 72
A solid cylinder of height 10 cm and radius 4 cm is to be plated
with material costing $11 per cm². Find the cost of the plating.
Answer: $3870
Step-by-step explanation
Total Surface area of cylinder = 2 x pi x r x h +2( pi x r^2)
TSA = 2 × 3.14 × 4 × 10 + 2( 3.14 ×16)
TSA = 251.2 + 100.48
= 351.68
Cost = 351.68 × 11
= $ 3870
A gallon of milk costs $3.32 and a container of orange juice costs $2.95. Max buys two gallons of milk and two containers of orange juice. How much does Max spend?
Step-by-step explanation: two bottles of milk is: $6.64 and two bottles juice: $5.90 so adding thos results $12.54
I hope help you
Line A has a slope of 3/2 and passes through the point (3, 3). Line B has a slope of – 1/3 and passes through the point (-4, -2). At what point does line A intersect line B? Line Aintersects line B at the point ( , ).
Answer:
The lines meet at (-1, -3)
Step-by-step explanation:
Line A :
\((x_1, y_1) = (3, 3) \ ; \ slope, \ m_A = \frac{3}{2}\\\\Equation \ of \ line \ A : (y - 3) = \frac{3}{2}(x - 3)\)
\(2(y - 3) = 3(x-3)\\2y - 6 = 3x - 9\\2y = 3x - 9 + 6\\2y = 3x -3\)
Line B :
\((x_2,y_2) = (-4, -2) \ ; \ slope , m_B = -\frac{1}{3}\\\\Equation \ of\ line \ B: (y -(-2)) = -\frac{1}{3}(x -(-4))\)
\(3(y + 2) = -1(x+4)\\3y + 6 = -x -4\\3y = -x - 4 - 6 \\3y = -x - 10\)
Solve for x and y from the linear equation to find where line A and line B meets :
2y = 3x - 3 => 3x - 2y = 3 ------- (1)
3y = -x - 10 => -x = 3y + 10
=> x = - 3y - 10 --------(2)
Substitute (2) in (1) : => 3(- 3y - 10) - 2y = 3
-9y - 30 -2y = 3
-11y = 3 + 30
-11y = 33
y = -3
Substitute y in (2) : => x = -3 (-3) - 10 = 9 - 10 = -1
which segment is the shortest
Answer: X or Y
Step-by-step explanation:
the sum of two numbers is 0 and their difference is -76 what are the two numbers
Answer:
x = - 38 & y = 38 or x = 38 & y = -38
Step-by-step explanation:
Which statement explains why one source is the most reliable? The Squawkbook post is the most reliable source because ConcernedCitizen was at the meeting. The Local Reader article is the most reliable source because it shows a photograph of the lots. The Squawkbook post is the most reliable source because it provides the author’s opinion of the council. The Local Reader article is the most reliable source because the author offers a neutral reporting of facts.
HELP PLEASE
The statement that explains why one source is the most reliable is D. The Local Reader article is the most reliable source because the author offers a neutral reporting of facts.
What are reliable sources?Reliable sources are necessary for reliable information. A trustworthy source will offer a "complete, well-reasoned hypothesis, argument, etc. based on substantial evidence," according to UGA Libraries.
Scholarly, peer-reviewed articles and books are examples of widely regarded sources. trade publications, professional books, etc.
It should be noted that a reliable source should be based in facts and should not be biased.
Therefore, the correct option is D.
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Help please thank youuu
Answer:
18 mi^2
...
...
...
...
...
Answer:
42 square miles
Step-by-step explanation:
The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.
TriangleThe area of the triangle at the top of the figure is ...
A = 1/2bh
A = 1/2(6 mi)(3 mi) = 9 mi²
Overall rectangleThe area of the overall rectangle (including the space at lower right) is ...
A = LW
A = (9 mi)(5 mi) = 45 mi²
Deleted spaceThe area of the rectangle at lower right that is not included in the shaded area is ...
A = LW
A = (4 mi)(3 mi) = 12 mi²
Total areaThe total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.
total area = 9 mi² +45 mi² -12 mi² = 42 mi²
The area of the figure is 42 square miles.
_____
Additional comment
Other ways to divide the figure into two rectangles are ...
extend the vertical line to make a 9×2 and a 3×5 rectangleextend the horizontal line to make a 4×2 and a 5×5 rectangleIf 22 + 5 = 8x, then 12x =?
Answer:
Well x=3.375
Step-by-step explanation:
That's all I got.... sorry......
Please help as soon as possible
Suppose a colony of bacteria grows exponentially with a growth rate constant of 0. 25. If the colony contains 6,000 cells now, approximately how many did it contain 4 hours ago?
Approximately 4 hours ago, the colony contained 16,308 bacteria cells.
To determine the approximate number of bacteria cells in the colony 4 hours ago, we need to use the exponential growth formula.
The exponential growth formula is given by:
N(t) = N₀ * e^(k*t)
Where:
N(t) represents the number of bacteria cells at time t,
N₀ represents the initial number of bacteria cells,
k represents the growth rate constant,
t represents the time elapsed.
In this case, we know that the colony contains 6,000 cells now. Let's assume that 4 hours ago is our initial time (t = 0). So, N₀ = 6,000. The growth rate constant is given as 0.25 (k = 0.25). We want to find the number of bacteria cells 4 hours ago.
Plugging these values into the exponential growth formula:
N(t) = 6,000 * e^(0.25 * 4)
Simplifying the exponential expression:
N(t) = 6,000 * e^(1)
Since e^(1) is approximately 2.718 (the value of the natural logarithm base e), we can calculate: N(t) ≈ 6,000 * 2.718
N(t) ≈ 16,308
Therefore, approximately 4 hours ago, the colony contained 16,308 bacteria cells.
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How many cups of water will Billy use to fill a 9-liter bucket if one cup holds of a liter of water
Answer:
9 cups!
Step-by-step explanation:
I cup = 1 liter
? cups = 9 liter
1 * 9 = 9
so ? * 1 = 9
? = 9
Answer:
The answer is
Step-by-step explanation:
59 cups
sry if im wrong