Answer:
The answer would be 45 cups/ 75 people
A graph titled Test Questions has four-point questions on the x-axis and two-point questions on the y-axis. 2 lines intersect at (8, 34).
How many of each type of question are on the test?
2 four-point questions and 40 two-point questions
8 four-point questions and 34 two-point questions
34 four-point questions and 8 two-point questions
40 four-point questions and 5 two-point questions
Answer:
8 four-point questions and 34 two-point questions
Step-by-step explanation:
got the question right
Answer:
8 four-point questions and 34 two-point questions
Step-by-step explanation:
right on edge
Which technique(s) are appropriate to completely factor the
expression?
A)
Factor as a difference of squares.
B)
Factor out the greatest common factor.
C)
Factor out the greatest common factor; then factor
the difference of squares.
D)
Factor out the greatest common factor; then factor
the perfect square trinomial
Answer: C
Step-by-step explanation:
A company decides to begin making and selling memory sticks for computers. The price function is given as follows: 80000 x+6' where x is the number of memory sticks that can be sold every week at a price of p dollars per unit. Additionally, the financial department han determined that the weekly fixed cost of production will be 1500 dollars with an additional cost of 21 dollars per unit. (a) Find the revenue function in terms of x. R(x) = (b) Use the financial department's estimates to determine the cost function in terms of x. C(X) (c) Find the profit function in terms of x. P(x) = id) Find the marginal profit when 20 memory sticks are produced and sold each week. Marginal profit
A revenue function is a mathematical formula that represents the total income earned by a business or organization at different levels of output or sales. It is typically used in economics and finance.
(a) To find the revenue function, R(x), you need to multiply the number of memory sticks sold (x) by the price per unit (p). Using the given price function, p = 80000/x + 6. So,
R(x) = x * (80000/x + 6)
(b) To determine the cost function, C(x), use the financial department's estimates. The weekly fixed cost is 1500 dollars, and the additional cost per unit is 21 dollars. Therefore,
C(x) = 1500 + 21x
(c) To find the profit function, P(x), subtract the cost function from the revenue function:
P(x) = R(x) - C(x) = (x * (80000/x + 6)) - (1500 + 21x)
(d) To find the marginal profit when 20 memory sticks are produced and sold each week, you need to first find the derivative of the profit function with respect to x (P'(x)), and then evaluate it at x=20:
P'(x) = d/dx[(x * (80000/x + 6)) - (1500 + 21x)]
After calculating the derivative, evaluate P'(20) to find the marginal profit at 20 memory sticks produced and sold per week.
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a company surveyed college students to determine their need and want for a new portable computer accessory. once the data was gathered, the company began designing the accessory to specifications determined by the data. this is an example of .
On solving the provided question, from the information we can say that this is a example of Research and development (R&D).
What means research and development?Research and development (R&D) refers to the knowledge a business accumulates to create new items or discover innovative ways to enhance current goods and services. Before using their products or processes for commercial purposes, large corporations may have their own R&D teams that test and improve them.
What is the role of research and development?Research and development (R&D) refers to the processes businesses use to innovate and launch new goods and services. It is frequently the initial stage of the development process. Typically, the objective is to expand the company's revenue while introducing a new good or service to the market.
This is an example of Research and development (R&D)
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Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891. What transformation does this value of lambda suggest
The value of lambda (λ) equal to 0.891 in a Box Cox transformation suggests a power transformation.
In the Box Cox transformation, different values of lambda are used to find the optimal transformation that best normalizes the data and satisfies the assumptions of the statistical analysis. The power transformation adjusts the data by raising it to a power determined by the value of lambda.
When lambda is close to 1 (λ ≈ 1), it indicates a logarithmic transformation. However, in this case, the lambda value of 0.891 suggests a transformation that is not exactly logarithmic, but still a power transformation.
The power transformation with lambda equal to 0.891 indicates that the data should be raised to the power of 0.891. This transformation will compress or stretch the data values, helping to reduce skewness and make the data distribution more symmetric. It can also assist in linearizing the relationship between the weight of the turkeys and the number of guests.
By applying this transformation, Ben can achieve a better alignment with the assumptions of statistical analysis, such as normality and linearity, improving the accuracy of any subsequent analyses or interpretations made using the transformed data.
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differentiate. f(x) = qx + r/sx + t, where q
,
r
,
s
,
t
are constants.
To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).
To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:
1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.
2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.
3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.
4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).
Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).
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last thing please put the right answer. person who i will not mention.
Answer:The first one
Step-by-step explanation:
Cheap data's distribution is more symmetrical
An orange punch is 45% juice and a mango punch is 20% juice. By combining the two, a company is making 500 L of a fruit punch that is 40% juice. How many liters of orange punch are needed for the company's concoction?
Answer:
400 L of orange punchStep-by-step explanation:
step one:
given data
orange punch is 45% juice and
mango punch is 20% juice.
amount of fruit punch to be made is
500 L of a fruit punch that is 40% juice.
Let x = the number of liters of orange punch in the fruit punch.
Then the number of liters of mango is 500 - x
The number of liters of orange + mango juice is
0.45x + 0.2(500 - x), and this must equal the number of liters
in the fruit punch, which is 0.4*500
0.45x + 100 - 0.2x = 200
solve for x
0.45x-0.2x+100-200=0
0.25x-100=0
0.25x = 100
x=100/0.25
x = 400 L
400 L of orange punch
need help finding the letter u
In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd
What is a triangle?A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.
A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.
∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd
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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd
What is a triangle?A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.
A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.
∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd
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Prove that ∑i=1[infinity]2i1=1.
After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.
To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.
The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:
S = a / (1 - r)
where 'a' is the first term of the series.
In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.
Applying the formula, we have:
S = 1 / (1 - 2)
Simplifying, we get:
S = 1 / (-1)
S = -1
However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.
Hence, we conclude that the given infinite series does not converge to 1.
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Select the correct product (+)yz3
The product is y³ + z³ + 3y²z + 3yz².
What is Factorization?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
Given:
(y+ z)³
Using Algebraic Identity
(x+ y)³ = x³ + y³ + 3xy( x+y)
So, (y+ z)³
= y³ + z³ + 3yz( y+z)
= y³ + z³ + 3y²z + 3yz²
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what is a commission
Answer:
Commission-An instruction/command given to a person or group of people.
Answer:
It’s basically an instruction, command, or role given to a person or group.
Step-by-step explanation:
find a basis for the given subspace by deleting linearly dependent vectors. very little computation should be required. s
To find a basis for a given subspace by deleting linearly dependent vectors, we start with a set of vectors that spans the subspace and then remove any vectors that can be expressed as a linear combination of the other vectors in the set. The remaining vectors form a basis for the subspace.
The term "subspace" refers to a subset of a vector space that is closed under addition and scalar multiplication. In other words, if we take any two vectors in the subspace and add them together or multiply them by a scalar, the result is also in the subspace.
The term "linearly" refers to the idea that vectors in a set are independent if none of them can be expressed as a linear combination of the others. A linear combination is simply a sum of scalar multiples of vectors. If we can find a non-trivial (i.e. not all zero) linear combination of vectors in a set that equals zero, then the vectors are linearly dependent.
Therefore, to find a basis for a given subspace by deleting linearly dependent vectors, we must start with a set of vectors that spans the subspace and then remove any vectors that can be expressed as a linear combination of the others. The remaining vectors form a linearly independent set that spans the subspace, and thus they form a basis for the subspace.
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Josie has $47 left on her checking account. If she writes a check for $55,
what will Josie’s balance be?
Answer:
-8
Step-by-step explanation:
47-55=-8
Answer:
-8
Step-by-step explanation:
47 - 55 = -8
I dont know what to do lol
Answer:
15 units
Step-by-step explanation:
The distance between two points can be found using the following formula:
\(d\sf=\sqrt{(x_2-x_1)+(y_2-y_1)}\)
Given points:
(-7, 5) and (2, -7)
where:
x₁ = -7x₂ = 2y₁ = 5y₂ = -7Substitute these points into the formula and simplify:
\(\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15\)
The distance between the two points is 15 units.
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James and Abeer took a backpacking trip together. On the first day, they hiked 9 miles to a campsite. The next day, they took a different route back that was 4 miles longer than the route they took on the first day. How many miles did they hike all together?
Answer:
22
Step-by-step explanation:
9 + (9 + 4) = 22
:)))))))
The total miles James and Abeer hiked altogether if 9 miles is hiked the first day and 4 miles longer is hiked the next day is 22 miles
How many miles did they hike all together?Distance hiked the first day = 9 miles
Distance miles the second day = 4 miles longer than the route they took on the first day
= 4 + 9
= 13 miles
Total miles hiked altogether = First day + second day
= 9 miles + 13 miles
= 22 miles
Therefore, James and Abeer hiked 22 miles altogether.
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The ratio of gold beads to black beads on a Mizzou necklace is 2:3. If the necklace has 28 gold beads, how many black beads does it have?
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
Select the correct answer. Which expression is equivalent to the given expression? 6ab/(a^0b^2)^4
An expression is equivalent to the given expression \(\frac{6ab}{(a^0b^2)^4}\) is \(\frac{6a}{b^7}\). So, option C is correct.
A mathematical phrase or equation is represented by an expression, which is a grouping of numbers, symbols, and operators. Expressions can be straightforward or intricate, and they can include trigonometric, algebraic, and mathematical operations. They can be evaluated to produce a numerical value and are used to represent and resolve mathematical issues. Expressions are a crucial tool in science and math because they may be used to simulate real-world scenarios.
Now, let's consider the given question:
One way to simplify the formula \(\frac{6ab}{(a^0b^2)^4}\) is as follows:
For any non-zero value of a, a0 = 1, resulting in:
\(\frac{6ab}{(a^0b^2)^4}\)
\(= \frac{6ab}{(b^2)^4}\)
\(=\frac{6ab}{(b^8)}\)
\(=\frac{6a}{b^7}\)
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The complete question is:
Select the correct answer. Which expression is equivalent to the given expression? \(\frac{6ab}{(a^0b^2)^4}\)
A) \(\frac{6a}{b^6}\)
B) \(\frac{6a}{b^5}\)
C) \(\frac{6a}{b^7}\)
D) \(\frac{6a}{b^8}\)
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away. Zhang leaves the store when aaron starts riding his bike, and he rides his bike toward aaron along the same road at 2 mi/h. How many hours will pass before they meet?.
2 hours will pass before they meet.
"Information available from the question"
In the question:
Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.
Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.
Now, According to the question:
Total distance = 20mi
Aaron starts riding a bike at a rate of = 3mi/h
Zhang rides his bike toward Aaron along the same road at = 2mi/h
Let y be the number of hours for them to meet.
The expression is given as
3y + 2y = 20
solving for y, we have
5y = 20
y = 20/5
y = 4hrs
Therefore, 2 hours will pass before they meet.
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For the sequence −9, −3, 3, 9, 15, ... write the recursive formula. a(1) = __, a(n) = a(n-1) + d *
Answer:
the answer to the question is online if you
Helpppppppppppppp pleaseeeeeeeee
First, lets put this into slope intercept form
3x + 2y = -6
2y = -3x - 6
y = -3/2x - 3
The y intercept is (0, -3)
To find the x intercept we set the new equation to zero and solve
0 = -3/2x - 3
+3 +3
(2)3 = -3/2x(2)
6 = -3x
6/-3 = -3x/-3
-2 = x
The x intercept is (-2,0)
Therefore, your intercepts are:
y-int. = (0,-3)
x-int. = (-2,0)
Hope this helps! =D
use the following table to answer the question. mireya wants to buy 4 avocados. the local market sells avocados at the rate shown below. the store down the road is advertising 5 avocados for 5$. in complete sentences, explain which store has the better rate.
Answer:
local market sell at a better rate,Mireya can buy 4 avocados at the rate of 4×1.15=$4.60
but if she wants 5 she will buy them $5.75 but at the store down it will be less at $5 difference of 75c. with local market
show work
simplify if possible
Answer:
here
2/3 / 1/7
2/3 * 7/1
14/3
Find the vector component of y = (4, -1.7) along b = (1, 2, -2) and the vector component of v orthogonal to b. Enter the exact answers.
The vector component of v orthogonal to b is (3.8, -2.1, 0.4).
To find the vector component of y along b, we need to use the formula:
\(proj_b y = (y . b / ||b||^2) × b\)
where y . b represents the dot product of y and b, and ||b|| represents the magnitude of b.
First, we need to turn b into a unit vector by dividing it by its magnitude:
\(||b|| = sqrt(1^2 + 2^2 + (-2)^2) = sqrt(9) = 3\)
\(b_hat = (1/3, 2/3, -2/3)\)
Now, we can plug in the values and simplify:
y . b = (4 × 1) + (-1.7 × 2) + (0 × (-2)) = 0.6
\(||b||^2 = 9\)
\(proj_b y = (0.6 / 9) × (1/3, 2/3, -2/3) = (0.2, 0.4, -0.4)\)
Therefore, the vector component of y along b is (0.2, 0.4, -0.4).
To find the vector component of v orthogonal to b, we can use the formula:
\(v_perp = v - proj_b v\)
where proj_b v represents the projection of v onto b.
Since b is already a unit vector, we can simply find the dot product of v and b:
v . b = (4 × 1) + (-1.7 × 2) + (0 × (-2)) = 0.6
Then, we can use this value to find \(proj_b\) v:
\(proj_b v = (0.6) × (1/3, 2/3, -2/3) = (0.2, 0.4, -0.4)\)
Finally, we can subtract \(proj_b\) v from v to get\(v_perp\):
\(v_perp = y - proj_b y = (4, -1.7) - (0.2, 0.4, -0.4) = (3.8, -2.1, 0.4)\)
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The table shows the number of hits Rishabh got for different numbers of games.
Which equation can be used to find the number of hits Rishabh will get for any number of games?
A. y = 4x
B. y = 2x
C. y =
D. y =
Answer: its b
Step-by-step explanation:
Answer:
i know im really late but for anyone else taking the test, its c.
C- Y= \(\frac{x}{2}\)
Step-by-step explanation:
Find a polynomial function f(x) of least possible degree having the graph shown
first off let's notice a few things on that function.
the graph "passes" -5, that's a root, the graph "touches" 3 and goes back up, that's another root, but that's a root with an "even multiplicity", the heck does that mean? well, it means there are at least two roots, could be 4 or 6 or 18, so long is even, but we're shooting for the least degree, so we'll settle for 2.
now hmm, let's reword that
what's the equation of a function with roots at -5 and 3 twice, that it passes through (0 , 9)?
\(\begin{cases} x = -5 &\implies x +5=0\\ x = 3 &\implies x -3=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -3 )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=9 \end{cases} \\\\\\ a ( 0 +5 )( 0 -3 )( 0 -3 ) = 9\implies 45a=9\implies a=\cfrac{9}{45}\implies a=\cfrac{1}{5} \\\\[-0.35em] ~\dotfill\)
\(\cfrac{1}{5}(x+5)(x-3)^2=y\implies \cfrac{1}{5}(x+5)(x^2-6x+9)=y \\\\\\ \cfrac{1}{5}(x^3-x^2-21x+45)=y\implies {\Large \begin{array}{llll} \cfrac{x^3}{5}-\cfrac{x^2}{5}-\cfrac{21x}{5}+9=y \end{array}}\)
Check the picture below.
Someone help me with #2 and #3
Answer:✈️✈️?
Step-by-step explanation:
Answer:
#2=-.05 #3=8
Step-by-step explanation:
use pemdas correctly and you will always get the right answer
the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, how high up in the air do you start your ride?
In a case whereby the slide part of a water slide is 89 feet long and makes a 42 angle of depression with the ground, the lenght or how high up in the air is 73.6 feet
How can the height ber calculated?We know that the length of the slide AB is 89 feet, and the angle of depression from A to B is 42 degrees. We want to find the height h of point A above the ground.
The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is h (the height we're looking for), and the adjacent side is AB (the length of the slide). So we can write base on trigonometery as ;
tan(42) = h / 89
h = 89 * tan(42)
h ≈ 73.6 feet
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Refer to Table 4-1. Suppose that D2 and S1 are the prevailing demand and supply curves for a product. If the demand schedule changes from D2 to D1, then:
Price D 1 D 2 S 1 S 2
$12 5 9 19 14
$10 8 12 17 12
$8 11 15 15 10
$6 13 18 13 8
$4 16 21 11 6
$2 18 24 9 4
equilibrium price increases from $6 to $8.
equilibrium quantity increases from 13 to 18
equilibrium quantity decreases from 15 to 13.
equilibrium price decreases from $6 to $4.
The correct option is A, equilibrium price increases from $6 to $8.
What do you mean by Equilibrium?In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.
Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.
If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).
From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.
So the correct answer is: equilibrium price increases from $6 to $8.
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