The water level after the rainfall in the Colorado River is 3.35 meters.
How is the water level determined?The water level after the rainfall can be determined using the mathematical operation of addition.
A mathematical operation changes the output value of some input values.
For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.
Data and Calculations:The average water level in the Colorado River = 2.55 m
Increase in water level following the large rainfall = 0.8 m
New water level after the rainfall = 3.35 M (2.55 + 0.8)
Thus, the water level after the rainfall in the Colorado River is 3.35 meters.
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what is the answer for this 3x+4x+5x+...+43x
Answer:
1032x
Step-by-step explanation:
[tex]3x+4x+\cdots+43x=x(3+4+\cdots+45) \\ \\ =43x\left(\frac{45+3}{2} \right) \\ \\ =43(24x) \\ \\ =1032x[/tex]
5x + 3y = 26
6x+ 7y=21
Answer:
x = -1
Step-by-step explanation:
5x + 3y = 26
- (6x + 7y = 21)
_________
-x - 4x = 5
-5x = 5
x = -1
Does the fugue below appear to have line symmetry if so how many lines of symmetry
Answer:
It has 1 line off symmetry.
Step-by-step explanation:
it has one straight from the top point all the way down.
Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool. how many balls of wool should she buy?
Camille need 5 balls of wool to crochet a blanket for her new baby cousin.
Unitary Method:
Unitary method is the method in which the value of a unit quantity is first calculated to get the value of any quantity is called the unitary method.
Given,
Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool.
Here we need to find the number of wool balls she need.
Let us consider x be the amount of wool balls she need.
Then,
wool needed - 900 yards
We know that,
1 yard = 3 feet
Then 900 yards will be equal to
=> 900 x 3 = 2700 feet
Now, She has - 200 feet
And we know that,
each ball at store contains - 500 feet
So it can be written as,
=> 200 + 500x = 2700
=> 500x = 2500
=> x = 2500/500
=> x = 5
Hence she need to buy 5 balls of wool from the store to get the required length of wool.
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Here is a data set ( n = 117 ) that has been sorted. 51.7 56.8 65.3 66.8 67.3 68.1 68.1 68.3 68.6 68.7 69 69 69.6 69.7 69.9 70.2 70.8 71.2 71.3 71.4 71.7 72.3 72.6 72.9 73 73.4 74.3 74.4 74.6 74.6 75.2 75.4 75.5 75.5 75.7 75.9 76.3 76.7 76.8 77.3 77.4 77.9 78 78.3 78.3 78.5 78.7 79 79.4 79.6 79.6 79.8 80.2 81.1 82 82.1 82.2 82.4 82.9 83.1 83.3 83.4 83.4 83.5 83.6 83.7 83.7 83.8 84 84.1 84.5 84.6 84.9 85.1 85.3 85.3 85.5 85.5 86 86.7 86.9 87 87.6 87.7 87.7 87.7 87.8 88.4 88.5 88.8 89.1 89.1 89.1 89.3 89.5 89.7 90.4 90.5 90.6 91 91.1 91.2 91.9 92 92.2 92.8 92.9 93.1 93.9 94.1 95.1 95.6 96.9 97.1 97.3 97.5 100.1 find the 82nd-percentile:
The 82nd Percentile is 89.784
How to calculate percentile in statistics?The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.
The values' percentiles as determined by the formula are displayed below.
Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1
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how do you turn this root into a power?
√5
Answer:
5^(1/2)
Step-by-step explanation:
Square root means to the power of (1/2)
cube root means to the power of (1/3)
and so on
-23/20 in a decimal form long division
(-23/20) in a decimal form long division will be equal to (-1.15)
As per the question statement, we are provided with a fraction: (-23/20).
We are required to calculate the simplest form of the fraction in decimals using to the long division method.
The long division method works with 4 component: dividend, divisor, quotient and remainder. And the steps to perform the long division method are as follows:
Step 1: To take the first digit of the dividend from the left and check if this digit is greater than or equal to the divisor.
Step 2: Then, to divide it by the divisor and write the answer on top as the quotient.
Step 3: To subtract the result from the digit and write the difference below.
Step 4: To bring down the next digit of the dividend (if present).
Step 5: To Repeat the same process.
Hence, converting the fraction (-23/20) to decimal values using the process of long division method mentioned above, we get (-1.15).
Long Division method: In Mathematics, long division is a standard division algorithm suitable for dividing multi-digit Hindu-Arabic numerals that is simple enough to perform by hand, by breaking down a division problem into a series of easier steps, as mentioned above.To learn more about Long Division method, click on the link below.
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How can the graph rule y=2x+1 be used to predict the result for an input (x-Value) of 7
The value of y for the given input x=7 is 15.
The given function is y=2x+1.
We need to graph the given function.
How to graph the given function?Graphing functions is the process of drawing the graph (curve) of the corresponding function. Graphing basic functions like linear, quadratic, cubic, etc is pretty simple, graphing functions that are complex like rational, logarithmic, etc, need some skill and some mathematical concepts to understand.
Now,
Graph the line using the slope and y-intercept, or two points.
Slope: 2
y-intercept: (0, 1)
Plot the points (0, 1) and (1, 3)
The value of y for x=7 is y=2(7)+1=15
Therefore, the value of y for the given input x=7 is 15.
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Find the derivative of the function using the definition of derivative. g(t) = 3 t
The derivative of the function using the definition of derivative is 3.
The given function is g(t) = 3t.
We have to find the derivative of the function using the definition of derivative.
We know that,
Definition of derivative:-
The derivative of a function is the rate of change of the function's output relative to its input value.
Here,
Input value = t
Output value = g(t)
Given y = g(t), the derivative of g(t), denoted g'(t) (or dg(t)/dt), is defined by the following limit:
[tex]g'(t)= \lim_{h \to 0} \frac{g(t+h)-g(t)}{h}[/tex]
We have the function:-
g(t) = 3t
Hence, according to the data given in the question, we can write,
g'(t) =
[tex]\lim_{h \to 0} \frac{g(t+h)-g(t)}{h} \\\\ \lim_{h \to 0} \frac{3(t+h)-3(t)}{h}\\\\ \lim_{h \to 0} \frac{3t+3h-3t}{h}\\\\ \lim_{h \to 0} \frac{3h}{h}\\\\\lim_{h \to 0} 3[/tex]
g'(t) = 3
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The school band will sell pizzas to raise money for new uniforms. The supplier charges $100
plus $4 per pizza. The band members sell the pizzas for a 50% upcharge. How many pizzas will
the band need to sell to make a profit?
Answer:
35
Step-by-step explanation:
Find the coordinates of the mid point if the end points are (2,-6) (-8,5)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 +2}{2}~~~ ,~~~ \cfrac{ 5 -6}{2} \right) \implies \left(\cfrac{ -6 }{2}~~~ ,~~~ \cfrac{ -1 }{2} \right)\implies \left(-3~~,~~-\cfrac{1}{2} \right)[/tex]
Please help!!!
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt(3x-1)-2=0[/tex]
Step-by-step explanation:
[tex] \sqrt{3x - 1} - 2 = 0[/tex]
[tex] \sqrt{3x - 1} = 2[/tex]
[tex] \sqrt{3x - 1} = \sqrt{4} [/tex]
[tex]3x - 1 = 4[/tex]
[tex]3x = 4 + 1[/tex]
[tex]3x = 5[/tex]
[tex]x = \frac{5}{3} [/tex]
3 Kayla works at a bookstore. One of her jobs is to take books that arrive and place
them on bookshelves in the store. She has four shelves for a shipment of 1 4/5 boxes
of a new novel. Will Kayla be able to stock all the books if each shelf can hold 2/5
box of books?
Describe the transformation from the parent function to the graph f(x) = 3|x+1|−6
the 3 will make the parent function (vertical or horizontal) (shift or stretch or compass or reflect) (up or down or left or right or by a factor) (3 or -3 or 1 or -1 or 6 or -6)
the x+1 will make the parent function (vertical or horizontal) (shift or stretch or compass or reflect) (up or down or left or right or by a factor) (3 or -3 or 1 or -1 or 6 or -6)
the -6 will make the parent function (vertical or horizontal) (shift or stretch or compass or reflect) (up or down or left or right or by a factor) (3 or -3 or 1 or -1 or 6 or -6)
Using translation concepts, we have that:
The 3 will make the parent function vertically stretch by a factor of 3.The x + 1 will make the parent function shift horizontally left 1 unit.The -6 will make the parent function shift vertically down 1 unit.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the parent function is:
g(x) = |x|.
The translated function is:
f(x) = 3|x + 1| - 6.
The multiplication by 3 means that the function was stretched vertically by a factor of 3, hence:
The 3 will make the parent function vertically stretch by a factor of 3.
At x -> x + 1, we have that the function was shifted one unit left, hence:
The x + 1 will make the parent function shift horizontally left 1 unit.
For the subtraction by 6, the function was shifted down 6 units, hence:
The -6 will make the parent function shift vertically down 1 unit.
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The approximate weights of two animals are 5.36 x 104 lbs. and 6.2 x 104 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.
Answer:
12*10^4 lbs.
Step-by-step explanation:
This is the correct answer because you have to count using scientific notation by seeing the amount of times the decimal point has moved to the left which makes it positive.
The total weight of the two animals is 12x10⁴ lbs if the approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.
The total weight = 5.36 x 10⁴ + 6.2 x 10⁴
The total weight = (5.36+ 6.2)10⁴
The total weight = 11.56x10⁴
Or
The total weight = 12x10⁴ lbs
Thus, the total weight of the two animals is 12x10⁴ lbs if the approximate weights of the two animals are 5.36 x 10⁴ lbs. and 6.2 x 10⁴ lbs.
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Please help meeeeeee I’m stressingggg out
Answer:
see attached for the tablelimit is 3Step-by-step explanation:
You want a table of values of the function sin(3x)/x as x nears zero, and an estimate of the limit of the function value as x → 0.
Table of valuesThe function f(x) = sin(3x)/x is an even function. That is ...
f(-x) = sin(-3x)/(-x) = -sin(3x)/-x = sin(3x)/x = f(x)
When f(-x) = f(x), the function is even. It is a reflection of itself across the y-axis. This means all of the function values for negative x-values are the same as for the corresponding positive x-values. We only need to fill in half the table to know what the other half looks like.
See the attachment for values calculated by a spreadsheet and rounded to 8 decimal places.
LimitThe table shows the difference from 3 gets smaller as x gets closer to 0. If we add more rows to the spreadsheet table (2nd attachment), we see that the value gets even closer to 3 as x nears zero. At x = 10^-7, we run up against the accuracy limits of the spreadsheet.
The limit of the expression is 3 as x approaches 0.
Find the general solution to the differential equation put the problem in standard form. find the integrating factor, . find . use c as the unknown constant.
y = \frac{-x}{2 } + \frac{1}{4} + ce^-{2x} is the general solution to the differential equation put the problem in standard form.
What is meant by integrating factor?
A function called an integrating factor is used to solve differential equations in mathematics. It is a function that can be made integrable by multiplying it by an ordinary differential equation. Ordinary differential equations are typically solved using this method. This factor is also applicable to multivariable calculus.x² + 2xy + x . dy/dx = 0
x dy/dx + 2xy = [tex]- x^{v}[/tex]
[tex]\frac{dy}{dx} =+ 2y = -x[/tex]
[tex]left u(x) = e^{\int\limits^_ {} } 2dx = e^{2x}[/tex]
integration factor p(x) = u(x) = [tex]e^{2x}[/tex]
Now ,multiply [tex]e^{2x}[/tex] both sides
[tex]e^{2x} ( \frac{dy}{dx} + 2y ) = -x . e^{2x}[/tex]
[tex]e^{2x} \frac{dy}{dx} + 2e^{2x} . y = -x e^{2x}[/tex]
[tex]\frac{d}{dx} (e^{2x} .y) = -x e^{2x}[/tex]
integrate both sides
∫ [tex]d .( e^{2x} .y )[/tex] = ∫[tex]-xe^{2x} .dx[/tex]
[tex]e^{2x} .y = -\frac{e^{2x}}{2} . x + \frac{e^{2x}}{4} + c[/tex]
[tex]y = \frac{-x}{2 } + \frac{1}{4} + ce^-{2x}[/tex]
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The complete question is -
Find the general solution to the differential equation 2 dy X+ + 2xy + x dx = 0 Put the problem in standard form. Find the integrating factor, p(x) = 2x - Find y(x) Use C as the unknown constant.
write 196 as a product of primes.
use index notation when giving your answer
Answer:
The prime factorization of 196 is 196 = 2 × 2 × 7 × 7 and can be represented as 196 = 2 2 × 7 2 using exponents.
Answer:
2² × 7² = 196
Step-by-step explanation:
FIND THE GCF. Mathematics
The G.C.F of the given algebraic expression is; ⁴⁹/₆a xy
What is the G.C.F (Greatest Common Factor)?The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. For example, for the set of numbers 18, 30 and 42 the GCF = 6.
We are given the algebraic expression;
(3 x y * 4x²y * ¹/₁ * 5x³y ^ z * 4)7a * 1/1 * 7*6
Expanding this further gives;
⁴⁹/₆a((3xy * 4x²y * 20x³y ^ z )
Now, the GCF of the terms inside the bracket would be x y. Thus, expanding the GCF we have;
⁴⁹/₆a xy((3 * 4x * 20x²y^(z - 1))
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A 10-lb bag of flour costs $3.69. A 5-lb bag costs $1.55. How much can you save if you buy the big bag instead of 2 small bags?
You will $0.29, if you will purchase 2 small bags of flour instead of 1 big bag.
What exactly is the unitary method?The unitary method is an approach that calculates the value of a specific unit utilizing the values of multiple units, in addition to determining the value of multiple units based on the value of a single unit.To figure out the value of one item, we must first divide it, and then multiply it by the number of things we want to find the value of.For the given question;
The total cost of one big bag that is 10-lb bag of flour = $3.69.
Now, the cost of one small bag that is 5-lb = $1.55.
Thus, the cost for two small bag that is 5-lb = $3.10.
The difference in the cost = big bag cost - 2 small bag costs.
The difference in the cost = $3.69 - $3.10
The difference in the cost = $0.29.
Thus, you will save $0.29 for the purchase of 2 small bags of floor instead of one big bag.
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What is
greater than
-3/8?
Answer:
give a situation where you are adapted a holistic view in looking at a problem or situation: my own
A traditional unit of length in japan is the ken (1 ken = 1.97 m). what are the ratios of (a) square kens to square meters?
The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88
For given question,
We have been given the unit conversion.
A traditional unit of length in Japan is the ken
and 1 ken = 1.97 m
We need to find the the ratios of (a) square kens to square meters.
First we find the square of 1 ken.
⇒ 1 square kens = (1.97 m)²
⇒ 1 square kens = 1.97 × 1.97 m²
⇒ 1 square kens = 3.88 m² ..................(1)
And 1 square meters = 1 m² ................. (2)
Now we take the ratio of square kens to square meters.
From (1) and (2),
⇒ 1 ken² / 1 m² = 3.88 / 1
⇒ 1 ken² / 1 m² = 3.88
Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88
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What are the coordinates of the point on the
directed line segment from (4, 3) to (9, 8) that
partitions the segment into a ratio of 2 to 3?
The required coordinates are (6, 5).
Let A denotes the point (4, 3), and B denotes the point (9, 8).
Let C denote the point which divides the line segment AB in the ratio of 2:3.
The distance between A(4, 3) and B(9, 8) is given by
AB = √{(x₂ - x₁)² + (y₂ -y₁)²}
= √{(9 - 4)² + (8 - 3)²
= √{5² + 5²}
= √(2×5²)
= 5√2
We have AC + BC = AB
AC and BC are in the ratio 2:3.
Therefore 2x + 3x = AB
⇒5x = 5√2
⇒x = √2.
Therefore, AC = 2√2 and BC = 3√2.
Using the distance formula,
AC = √{(x - 4)² + (y - 3)²}
⇒ 2√2 = √{(x - 4)² + (y - 3)²}
⇒ √(2² + 2²) = √{(x - 4)² + (y - 3)²} (taking the 2 inside the square root.)
⇒ x - 4 = 2 ⇒ x = 6
⇒ y - 3 = 2 ⇒ y = 5.
Therefore the required coordinates are (6, 5).
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Simplify fully
4x^2+4x/2x^2-2
Answer:
the answer i got is 2 (x+1) (2x^2-2x+1) / x :)
Answer:
[tex]\frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]\frac{4x^2+4x}{2x^2-2}[/tex] ← factor numerator and denominator
= [tex]\frac{4x(x+1)}{2(x^2-1)}[/tex] ← cancel 4 and 2 on numerator/denominator by 2
= [tex]\frac{2x(x+1)}{x^2-1}[/tex] ← x² - 1 is a difference of squares
= [tex]\frac{2x(x+1)}{(x-1)(x+1)}[/tex] ← cancel (x + 1) on numerator and denominator
= [tex]\frac{2x}{x-1}[/tex]
Help me out with this one!
Answer:
19/9
Step-by-step explanation:
Divide 19/9 using calculator or long division to check.
Hope this helps!
Please mark as brainliest if correct!
Mrs. Martina wants to put a wire fence around her garden which is 12 feet long and 6 feet wide. How much fencing does she need?
If fencing costs $3 per foot, how much will it cost her to purchase the fence?
The cost for her to purchase the fence is $108.
How to calculate the cost?Since she wants to put a wire fence around her garden which is 12 feet long and 6 feet wide, the total perimeter will be:
= 2(length + width)
= 2(12 + 6)
= 36 feet
Therefore, the cost will be:
= Total feet × Amount
= 36 × $3
= $108
Therefore, the cost for her to purchase the fence is $108.
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what is (−2.1)⋅(−1.4)
He bought a pair of boots that cost 10 and spent the rest on hats that cost 8 each
Answer:
Oh! WoW
Very nice questions .
Step-by-step explanation:
Please provide full question
606060+28282 pls help
Answer:
634342
FACTOR:
2 x 317171
1.) Raisins and nuts were mixed in a
bowl. If 34 of the mixture was
made up of nuts, what was the
ratio of raisins to nuts?
Answer:
8−5=3
Step-by-step explanation:
