El primer lugar recibe $1,100.00, el segundo y tercer lugar reciben $550.00 cada uno.
Para repartir $2,200.00 en premios a los tres primeros lugares de una carrera de automóviles, donde el primer lugar recibe la mayor parte del monto, podemos utilizar una proporción para distribuir los premios de manera justa.
Supongamos que el primer lugar recibe una cantidad "x" de dinero. Entonces, el segundo lugar recibiría una fracción de "x" y el tercer lugar recibiría una fracción menor aún.
Una forma común de distribuir los premios en este escenario es utilizar una proporción de 2:1:1, donde el primer lugar recibe el doble que el segundo y tercer lugar. Podemos calcular la cantidad correspondiente a cada posición de la siguiente manera:
Primer lugar: x
Segundo lugar: (1/2)x
Tercer lugar: (1/2)x
La suma de estos tres montos debe ser igual a $2,200.00:
x + (1/2)x + (1/2)x = $2,200.00
Simplificando la ecuación:
2x + x + x = $2,200.00
4x = $2,200.00
x = $550.00
Entonces, el primer lugar recibirá $550.00, el segundo lugar recibirá (1/2)$550.00 = $275.00, y el tercer lugar también recibirá (1/2)$550.00 = $275.00.
Por lo tanto, la distribución de los premios sería la siguiente:
Primer lugar: $550.00
Segundo lugar: $275.00
Tercer lugar: $275.00
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line is m = 14 / 17
The slope of a line is that the magnitude relation of quantity the quantity the number that y will increase as x will increase some amount. Slope tells you ways steep a line is, or what proportion y will increase as x will increase. The slope is constant (the same) anyplace on the road.Slope = rise/runIf y represents the vertical direction on a graph, and x represents the horizontal direction, then this formula becomes:Slope = (Change in y)/(Change in x)The line representing "rise" and " run" is given below
The vertical distance is said to be "rise" and from the graph it is equal to 14.
The horizontal distance is said to be "run" and from the graph it is equal to 17 .
According to the slope formula , we get
m = 14 / 17
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At a farmer's market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string beans? (Write your answer as a fraction.) ASAP whoever answers first will get brainlist
Answer:
Your answer will be 1/8
The path of water from a hose on a fire tugboat can be approximated by the equation y=-0.0055x^2 +1.15x + 5, where y is the height above the ocean and x is the distance from the tugboat. When the water is 6 ft above the ocean how far is it from the tugboat
Answer:
The water is 208.22ft from the tug boat
Step-by-step explanation:
The governing equation is \(y=-0.0055x^2 +1.15x + 5\)
y is the height above the ocean
x is the distance from the tugboat
if y= 6ft, the equation will now become
\(6=-0.0055x^2 +1.15x + 5\)
we can arrange this properly to form a quadratic equation by grouping like terms.
\(-0.0055x^2 +1.15x -1=0\)
solving quadratically we have two values of x as 208.22ft and 0.873 ft.
We can take a more realistic value as a solution to our problems:
208.22ft
Complete the square to re-write the quadratic function in vertex form:
Answer:
(x+2)^2 - 6
Step-by-step explanation:
CRITICAL THINKING Find the area between the three congruent tangent circles. The radius of each circle is 6 inches. Round your answer to the nearest hundredth. Three congruent circles touch each other. The centers are marked as points A, B, and C. Equilateral triangle A B C is formed and the region inside triangle, but not in a circle, is shaded. The area is about a square inches.
The area of the shaded region which is inside the triangle but not in a circle is 22.43 sq. inches.
A triangle is a geometrical figure with 3 angles, 3 edges, and 3 vertices. It is one of the most basic geometrical figures.
Given that
Vertices A, B, and C of a triangle, ΔABC are centers of three circles touching each other.
As the triangle, ΔABC is an equilateral triangle,
therefore,
∠A = ∠B = ∠C = 60°. (Since the sum of all angles is 180° and the angles of an equilateral triangle are equal.)
To obtain the area of the shady region, it is needed to obtain the areas of the triangle and of the quadrants of each circle.
Area of ΔABC = \(\frac{\sqrt{3}}{4} a^2\), where a is the length of the equal sides.
Here, a = 2 × radius of the circles
So, a = 2 × 6 = 12 inches.
Now,
Area of ΔABC = \(\frac{\sqrt{3}}{4} 12^2\)
\(=\frac{\sqrt{3}}{4} \times144\\=\sqrt3 \times 36\\=36\sqrt3\ sq.\ inches\\= 62.35\ sq.\ inches\)
Area of a quadrant of a circle = \(\frac{1}{4}\pi r^2\)
The sum of areas of quadrants of three circles = \(3\times\frac{1}{4}\pi r^2\)
\(= 3\times\frac{1}{4}\times3.14\times 6^2\\= 3\times\frac{1}{4}\times3.14\times 36\\= 84.78\ sq.\ inches\)
Area of the shaded region = The sum of areas of quadrants of three circles - Area of ΔABC
Area of the shaded region = 84.78 - 62.35
= 22.43 sq. inches.
Thus the area of the shaded region is 22.43 sq. inches.
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Evaluate:
(-4) (-3)
Another easy 10 points for yall
Answer:
12
Step-by-step explanation:
tysm ily
(-4)(-3)
= 12
Easy lol
Solve for x: 3 < x + 3 < 6
6 < x < 9
6 > x > 9
0 < x < 3
0 > x > 3
Answer:
C. 0 < x < 3Step-by-step explanation:
Given:
3 < x + 3 < 6Substract 3 from each side:
3 - 3 < x + 3 - 3 < 6 - 30 < x < 3Correct choice is C
Subtract 3
3-3<x<6-30<x<3Option C
I was never told how to do this, i need help
Answer:
nember 1: 2/7 as decimal
number 2: 2 1/6 as decimal
number 3: 3/16 as a decimal
number 4: 3/4 as a decimal
number 5: 5/10 as a decimal
number 6: 13 7/8 as a decimal
number 7: 8 10/15 as a decimal
number 8: 5/8 as a decimal
The festival that the total attendance for 2014 will be twice the attendance in 2012. What is the projected attendance for 2014?
The projected attendance for 2014 in the form of linear equation is written as y = 2x.
What is linear equation in two variables?A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.
For instance, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.The solution to such an equation is just a pair of values, one is for x and one for y, which also equalizes the 2 sides of an equation.Now, for the given question;
Let us consider that the total attendance in 2012 be 'x'.
And the total attendance in 2014 be 'y'.
Then, the total attendance for 2014 will be twice the attendance in 2012.
Thus,
y = 2x.
Therefore, the linear equation which shows the condition that the total attendance for 2014 will be twice the attendance in 2012 is y = 2x.
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What are the coordinates of the point (4,2) after being reflected across the x-axis.
Is AB parallel to CD ? Explain.
Is there a picture???? I need that to help u.
Answer:
yes if they are on a coordinate grid if the coordinates are(2, 4 ) and (4,8)
Step-by-step explanation:
Which conditional statement is true?
If it is a die, it has six sides.
If a number is even, it can be divided by four.
If it is carbonated, it is soda.
If it is a pen, then it writes with ink.
Answer:
If its a die it has six sides ..im pretty sure im right sowwy if im not but anyways love yall
Step-by-step explanation:
Answer:
If it is a pen, then it writes with ink.
Step-by-step explanation:
because a die can have more than 6 sides if my experience playing Mario party has taught me anything its that the 10 sided die is pretty hard to land a 10. its not B because its not same with C
help me find the graph for this please
hope this helps you ( ´◡‿ゝ◡`)
Trudy is making punch by mixing 1 can of
concentrated juice with 3 cans of water.
Which of the following combinations
shows the same ratio of juice to water?
A 2 cups of juice to 3 cups of water
B 2 cups of juice to 6 cups of water
C 2 cups of juice to 9 cups of water
D 3 cups of juice to 6 cups of water
Answer:
a i think if not im sorry
Step-by-step explanation:
A pancake recipe calls for 4 eggs and 12 cups of flour. How many cups of flour would you need for a single egg?
Answer:
3
Step-by-step explanation:
i'd say 3
i divided 12 by 4 and then multiplied by one, since that is the amount of eggs we want
good luck! <3
find the limit (if it exists). (if an answer does not exist, enter dne.) lim t → 0 e4ti sin(2t) 2t j e−3tk
according to the question the limit is 2i + 1.
We can use L'Hopital's rule to evaluate this limit:
lim t → 0 e^4ti sin(2t) / (2t e^(-3t))
Taking the derivative of the numerator and denominator with respect to t, we get:
lim t → 0 [4i e^4ti sin(2t) + 2 e^4ti cos(2t)] / (2 e^(-3t) - 3t e^(-3t))
Plugging in t = 0, we get:
[4i + 2] / 2 = 2i + 1
what is L'Hopital's rule?
L'Hopital's rule is a mathematical theorem that provides a method to evaluate limits of indeterminate forms, which are expressions that cannot be directly evaluated by substitution. The rule states that if the limit of a quotient of two functions is an indeterminate form of type 0/0 or ∞/∞, then under certain conditions, the limit of the quotient of the derivatives of the numerator and denominator as x approaches the limit point is equal to the original limit.
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Apply green’s theorem to evaluate the integral ∮ ( 2 2) where c is the triangle bounded by x = 0, x y = 1, and y = 0
The value of the line integral ∮ (2, 2) around the triangle bounded by x = 0, xy = 1, and y = 0 is 0.
To apply Green's theorem, we need to calculate the line integral of the vector field F = (2, 2) around the triangle bounded by the curves x = 0, xy = 1, and y = 0.
Let's start by finding the bounds of integration for the line integral. The triangle is defined by three sides:
1. The segment from (0, 0) to (1, 0) along the x-axis.
2. The segment from (1, 0) to (0, 1).
3. The segment from (0, 1) to (0, 0) along the y-axis.
We can break down the line integral into three separate line integrals along each of these sides and then sum them up.
1. Line integral along the segment from (0, 0) to (1, 0):
We parametrize this line segment as r(t) = (t, 0), where t ranges from 0 to 1.
The differential element of arc length ds is given by ds = sqrt(dx^2 + dy^2) = dt.
Thus, the line integral along this segment becomes:
∮ (2, 2) ⋅ ds = ∫[0,1] (2, 2) ⋅ (dt, 0) = ∫[0,1] 2 dt = 2∫[0,1] dt = 2[t] from 0 to 1 = 2.
2. Line integral along the segment from (1, 0) to (0, 1):
We parametrize this line segment as r(t) = (1 - t, t), where t ranges from 0 to 1.
The differential element of arc length ds is given by
ds = \(\sqrt{(dx^2 + dy^2) }\)
= (\(\sqrt{(-dt)^2 + dt^2)}\)
= \(\sqrt{2}\) dt.
Thus, the line integral along this segment becomes:
∮ (2, 2) ⋅ ds = ∫[0,1] (2, 2) ⋅ (-dt, dt) = ∫[0,1] 0 dt = 0.
3. Line integral along the segment from (0, 1) to (0, 0):
We parametrize this line segment as r(t) = (0, 1 - t), where t ranges from 0 to 1.
The differential element of arc length ds is given by ds = sqrt(dx^2 + dy^2) = dt.
Thus, the line integral along this segment becomes:
∮ (2, 2) ⋅ ds = ∫[0,1] (2, 2) ⋅ (0, -dt) = ∫[0,1] -2 dt = -2[t] from 0 to 1 = -2.
Summing up the line integrals from all three segments:
∮ (2, 2) ⋅ ds = 2 + 0 - 2 = 0.
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Solve the equation, show all your work: 3x - 12 = 15
Answer:
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Given equation,
→ 3x - 12 = 15
Now the value of x will be,
→ 3x - 12 = 15
→ 3x = 15 + 12
→ x = 27/3
→ [ x = 9 ]
Hence, the value of x is 9.
What is x???????????
Answer:147
180-33= 147
The inner angles are supplementary, meaning equaling 180
Step-by-step explanation:
Describe these points with a double inequality
Answer:
please make brainiest
How do you calculate percent recovery during recrystallization?
Percent recovery = amount of substance you actually collected / amount of substance you were supposed to collect, as a percent.
So another way of putting it:
Percent Recovery = (pure/impure) x 100
Let's say you had 10.0g of impure material and after recrystallization you collected 7.0 g of dry pure material. Then your percent recovery is 70% (7/10 x 100).
You need to make sure you material is dry or else the mass will be more than it actually is. That's why students sometimes calculate percent recoveries greater than 100% (which is impossible).
The formula for calculating percent recovery is
Percent recovery = (mass of purified compound obtained / mass of original compound) x 100
Percent recovery is an important parameter used in recrystallization to determine the efficiency of a purification process. It refers to the percentage of the original material that is recovered after the recrystallization process.
To calculate percent recovery, first, the mass of the original sample is measured before the recrystallization process. After the process is completed, the mass of the purified compound is measured, which is obtained from the recrystallization.
The mass of the purified compound is then divided by the mass of the original compound and multiplied by 100 to get the percent recovery. A high percent recovery indicates that the recrystallization process was successful in separating the target compound from the impurities, and the final product is relatively pure.
A low percent recovery may indicate that the recrystallization process was not efficient in separating the target compound from impurities, or that some of the target compound was lost during the process. Thus, percent recovery is a crucial parameter that determines the success of a recrystallization process.
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Complete question is:
How do you calculate percent recovery during recrystallization?
someone answer this before the day ends please
Answer: Goformative? sample work? connexus?
Step-by-step explanation:
either 5 or 6
so D
but you should what for reply 2 I'm unsure of my reply sorry
Will give brainlist if correct! Thanks if you do help!
Answer:
D is the answer
Step-by-step explanation:
true or false suppose that t is a linear transformation from r2 into r2 to transform a parallelogram onto a line segmentsuppose that t is a linear transformation of r2 into itself and i know what t transformd. then i can compute the effect of t on any vector
Taking the statement provided into consideration, if t is a linear transformation of R² into itself and the effect of t is known, then the effect of t on any vector can be computed. Therefore, the statement is true.
Consider the case where t is a parallelogram to line segment linear transformation of R² into R². If "t is a linear transformation of R² into itself and I know what t transformed" then I can calculate the impact of t on any vector, then the statement is true.
What is a linear transformation? The following characteristics must be met for a linear transformation, which is a transformation between two vector spaces:
The sum of v1 and v2 for each vector v1 and v2 in the vector space is equivalent to the transformation of the sum of v1 and v2.
The transformation of kv is equal to k times the transformation of v, in the vector space for every scalar k and vector v.
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what are the numbers for h?
Answer:
0,1
2,2
4,3
6,4
Step-by-step explanation:
Some Examples
4 = 1/2 (6) + 1
4 = 3 + 1
4=4
----------
2 = 1/2 (2) + 1
2 = 1 + 1
2 = 2
h
0
2
4
6
...................
the most recent census for a city indicated that there were 909,327 residents. the population of the city is expected to increase at an annual rate of 3.6 percent each year for the next 12 years. what will the population be at that time?
Option B) 1,390,072 is correct. The population of the city after 12 years can be calculated using the formula for compound interest.
To calculate the population of a city after 12 years using the formula for compound interest, we first need to identify the initial population (P0), the annual interest rate (r), and the number of years (n). We can then plug these values into the formula P = P0(1 + r/100)ⁿ. In this case, the initial population is given as 909327, the annual interest rate is 3.6%, and the number of years is 12. By substituting these values into the formula, we get P = 909327 * (1 + 3.6/100)¹² ≈ 1390072, which represents the population of the city after 12 years. Therefore, option B) 1,390,072 is the correct answer.
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Complete question:
The most recent census for a city indicated that there were 909,327 residents. the population of the city is expected to increase at an annual rate of 3.6 percent each year for the next 12 years. what will the population be at that time?
A) 1,491,958
B) 1,390,072
C) 1,440,114
The circle is centered on point P. Points A, B and C lie on the circumference. APB measures 34°. Find the measure of ACB.
The circle where ABC meet circumference then ACB is measured at **112°**.
What is circumference?The circumference of a circle or other round or rounded object refers to the length around its perimeter. It may also refer to the actual surface or border line.
Let's refer to the ACB metric as x. We know that ACP measures 17° since APB measures 34°. In a similar vein, CBP measures 17°.
We now understand that a triangle's total angles equal 180°. As a result, we may state that:
x + 34 + 17 + 17 = 180
When we simplify this equation, we get:
x = 112
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What is the probability of making a Type II error if the null hypothesis is actually true? A. 2 B. 1 C. 0 D. 0.05
The probability of making a Type II error if the null hypothesis is actually true is C) 0.
If the null hypothesis is actually true, it means that there is no difference between the sample and population, or no effect of the independent variable. A Type II error occurs when the null hypothesis is not rejected, even though it is actually false. Therefore, the probability of making a Type II error when the null hypothesis is actually true is 0.
The probability of making a Type II error can be calculated using the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. However, this information is not provided in the question.
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imagine that after the birds have been living in the city for many years a second big flock of birds arrive. how will the burd population size change in the 10 -20 years after the extra bird arrive?
it depends on a variety of factors such as the size of the new flock, the availability of resources, and the adaptability of both the existing and new bird populations.
If the new flock is relatively small and the existing population is well-established, the impact may be minimal. However, if the new flock is large and competes for resources such as food, nesting sites, and mates, it could lead to a decrease in the size of the existing population.
Additionally, if the new birds bring new diseases or predators to the area, this could also impact the population size of both groups. On the other hand, if the new birds are able to integrate well and find their own niche within the ecosystem, the population size could potentially increase.
the impact of a new flock of birds on the existing population size can vary depending on a range of factors. It is difficult to predict the exact outcome, but it is important to consider the potential impacts on both the new and existing populations.
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Use the quadratic formula to find the exact solutions of x2 − 9x + 5 = 0.
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer:
\(\frac{9\pm\sqrt{61}}{2}\)
Step-by-step explanation:
\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-9)\pm\sqrt{(-9)^2-4(1)(5)}}{2(1)}=\frac{9\pm\sqrt{81-20}}{2}\\\\=\frac{9\pm\sqrt{61}}{2}\)