Answers
Answer:
242
Step-by-step explanation:
Simplify the following:
11 ((9^2 - 5^2)/2^2 + 8)
Hint: | Evaluate 2^2.
2^2 = 4:
11 ((9^2 - 5^2)/4 + 8)
Hint: | Evaluate 5^2.
5^2 = 25:
11 ((9^2 - 25)/4 + 8)
Hint: | Evaluate 9^2.
9^2 = 81:
11 ((81 - 25)/4 + 8)
Hint: | Subtract 25 from 81.
| 7 | 11
| 8 | 1
- | 2 | 5
| 5 | 6:
11 (56/4 + 8)
Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.
The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:
11 (14 + 8)
Hint: | Evaluate 14 + 8 using long addition.
| 1 |
| 1 | 4
+ | | 8
| 2 | 2:
11×22
Hint: | Multiply 11 and 22 together.
| 2 | 2
× | 1 | 1
| 2 | 2
2 | 2 | 0
2 | 4 | 2:
Answer: 242
Related Questions
1. Ben and Jerry traveled together by van and shared the
driving. Ben drove 5.75 hours, then Jerry drove 3 hours.
Their total distance is given by the expression below.
106(5.75) + 128(3)
a. What does the 106 represent in this expression?
b. What does the 5.75 represent in this expression?
c. What does the 128 represent in this expression?
d. What does the 3 represent in the expression?
Answers
Answer:
C
Step-by-step explanation:
Theory of The Firm f(1₁,1₂)= Ar₁a₂-a Consider the Cobb-Douglas production function: 1. Derive the conditional input demands. 2. Derive the cost function. 3. Caculate the substitution matrix. Microeconomic Analysis
Answers
1. The conditional input demand for capital (1₂) is given as: 1₂ = (1 - a) / a * (Ar₁a₂-1 / r)
2. The cost function is given as: C(w, r, y) = w1₁ + r1₂,
3. The substitution matrix is: S = - [(1 - a) / a] * (r / w)
Cobb-Douglas production function: The Cobb-Douglas production function is a macroeconomic model that is used to describe how factors of production interact to create output.
It is given as:
f(1₁,1₂) = Ar₁a₂-a.
The input to the function includes labor and capital, which are represented by 1₁ and 1₂ respectively. A is a constant that reflects the state of technology, and a and (1 - a) are the elasticity of output with respect to labor and capital respectively.
The function is an example of a production function that is used to model the production process of an economy.
Conditional input demands: To derive the conditional input demands, we take the partial derivative of the production function with respect to each input. Deriving the conditional input demands with respect to labor (1₁) gives:
∂f/∂1₁ = Ar₁a₂-1
The conditional input demand for labor is the ratio of the marginal product of labor to the price of labor:
1₁ = (a / (1 - a)) * (Ar₁a₂-1 / w)
Similarly, the conditional input demand for capital (1₂) is given as:
1₂ = (1 - a) / a * (Ar₁a₂-1 / r)
Where w and r are the prices of labor and capital respectively.
Cost function: To derive the cost function, we multiply the price of each input by the quantity of the input used, and sum up the total.
The cost function is given as:
C(w, r, y) = w1₁ + r1₂,
where y is the level of output.
Substitution matrix: The substitution matrix is used to measure the degree of substitution between two inputs.
It is given as:
S = - (∂1 / ∂2) * (p2 / p1),
where p1 and p2 are the prices of the two inputs, and ∂1 / ∂2 is the cross-partial derivative of the production function with respect to the two inputs
. In this case, the substitution matrix is:
S = - (∂1 / ∂2) * (p2 / p1)
= - [(1 - a) / a] * (r / w)
The substitution matrix measures the degree of substitutability between capital and labor.
If the value of S is large, it implies that the two inputs are highly substitutable.
If the value of S is small, it implies that the two inputs are not very substitutable.
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Help me help me please !! And Thank you!!
Answers
Answer:
i think its c
Step-by-step explanation:
sorry if its incorrect
Answer:
the answer is A. dont follow that shi1tty point sucking idiot that said c
Step-by-step explanation:
How much tax will be applied to an order for cupcakes that costs $12.75 if the tax rate is 4%?
Answers
Answer:
$13.26
Step-by-step explanation:
12.75 × 0.04 = 0.51
0.51 + 12.75 = 13.26
Answer:
$12.75 cupcakes
Multiply the $12.75 x .04 = .51
$12.75 + .51 = $13.26 total
Step-by-step explanation:
Which is the best interpretation of the solution set for the compound inequality?
3/2x-1 –10
x < 4
all real numbers
ANSWER FAST, I WILL MARK BRAINLIEST, AND WILL GET 100 POINTS
Answers
Answer:
The answer is 3/2x-11 therefore x is less than 4
Step-by-step explanation:
If it helped I would love to be brainliest
Answer: -41.5
Step-by-step explanation:
Multiply
3 over 2× ( −1 ) − 10 × 4 = (- 3/2 ) − 10 × 4
Multiply
(-3/2) − 10 × 4 = (-3/2) − 40
Subtract
(-3/2 −) − 40 + -83/2
Simplify
-83/2 = -41 1/2
-33+(-33) can you help with this question
Answers
Answer:
-66
Step-by-step explanation:
-33 +(-33)
ok so if you add a negative number then you are pretty much subtracting a positive number
-33 - 33 = -66
Answer: -66
Step-by-step explanation:
Hey there! Minus (-) signs cancel out plus (+) signs, so it would be -33-33.
Step 1: Remove parentheses
-33-33
Step 2: Simplify
--33-33= -66
I hope this helped you! :)
Tavon has a gift card for $85 that loses $3.50 for each 30-day period it is not used. He has another gift card for $75 that loses $3 for each 30-day period it is not used. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal, the determine what the value of each card will be when they have equal value.
Answers
Answer:
Each card will have a value of $15 when they equal after 600 days which also is 20 30-day periods.
Step-by-step explanation:
Card1: [tex]85 - \frac{3.50}{30} x[/tex]
Card2: [tex]75 - \frac{3}{30} x[/tex]
x is number of days
[tex]85 - \frac{3.50}{30} x = 75 - \frac{3}{30} x[/tex]
2550 - 3.50x = 2250 - 3x
2550 - 0.50x = 2250
-0.50x = -300
x = 600 days
Card1: [tex]85 - \frac{3.50}{30} (600)[/tex]
85 - 70 = 15 dollars
Card2: [tex]75 - \frac{3}{30} (600)[/tex]
75 - 60 = 15 dollars
The value of each card will be when they have equal value is $15.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now, Let x be the number of time periods for which the gift card is not used, then
For the gift card $ 85 if it is not used for x periods, then the amount that will be lost is
85 - 3.50 x---------------------(1)
For the gift card $ 75 if it is not used for x periods, then the amount that will be lost is
75 - 3x---------------------- (2)
Now when both the amount lost is equal
85 - 3.50 x = 75 - 3x
solving the equation, we get
or, 3.50 x - 3x = 85 -75
or, 0.50 x = 10
or, x = 20
Thus the value of gift cards will be equal for 20 ,30 day periods.
Now,the value of each card be when they have equal value
The two cards will have equal value after 20, 30 day periods, this denotes that at this time, the value of each card will be equal.
Then
85 - 3.50 x = 75 - 3x
substituting x = 20, we get
85 - 3.50*20 = 75 - 3*20
85 - 70 = 75 - 60
15 = 15
So, when they have equal value, the value of each card will be $15.
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Lianna is buying 10 apples for $6.50. What is the unit price per apple?
Answers
Given :- [tex]\sf Lianna\: buys \:10 \:apples\: for \:\$ 6.50 .[/tex]
To Find :- [tex]\sf The\: unit \:price \:of \:each\: Apple .[/tex]
Answer :- Its given that cost of 10 apples is $6.50 .
So, by Unitary method , we can solve this ,
→ Cost of 10 apples is $ 6.50.
→ Cost of 1 apple will be [tex]\sf \dfrac{\$6.50}{10}[/tex]
=[tex]\red{\bf \$0.65}[/tex]
Hence the required answer is $0.65.
Suppose that the functions > and & are defined for all real numbers x as follows. F (x = 4X S (x) = 3x - 3
Write the expressions for (r-s) (x) and (r+s) (x) and evaluate (r. 3) (3). (r - s) (x) = 0 ( r t s) (xx) = 0 X 5 (r.s) (3) =
Answers
The expressions are:
(r-s)(x) = x + 3
(r+s)(x) = 7x - 3
And the value of (r∘s)(3) is unknown without the expression for r(x).
To find the expressions for (r-s)(x) and (r+s)(x) and evaluate (r∘s)(3), where f(x) = 4x and g(x) = 3x - 3, we can substitute these functions into the given expressions.
1. (r-s)(x):
The expression for (r-s)(x) is obtained by subtracting g(x) from f(x):
(r-s)(x) = f(x) - g(x) = (4x) - (3x - 3) = 4x - 3x + 3 = x + 3
2. (r+s)(x):
The expression for (r+s)(x) is obtained by adding f(x) and g(x):
(r+s)(x) = f(x) + g(x) = (4x) + (3x - 3) = 4x + 3x - 3 = 7x - 3
3. Evaluating (r∘s)(3):
(r∘s)(3) means substituting x = 3 into the function composition (r∘s)(x). First, we evaluate s(3):
s(3) = 3(3) - 3 = 9 - 3 = 6
Then, we substitute s(3) into r(x):
(r∘s)(3) = r(s(3)) = r(6)
Since we don't have the expression for r(x), we cannot determine the specific value of r(6) or simplify it further without additional information.
Therefore, the expressions are:
(r-s)(x) = x + 3
(r+s)(x) = 7x - 3
And the value of (r∘s)(3) is unknown without the expression for r(x).
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THIS IS DUE IN 10 MIN
Answers
use linear regression to estimate the weight, in ounces, of a bluegrill that has a length of 9.5 inches. Round your answer to the nearest tenth of an ounce
Length (in.) 7 8 9 10 11 12
Weight (oz) 4 7 11 21 26 32
Answers
Rounding to the nearest tenth of an ounce, the estimated weight of a bluegill that has a length of 9.5 inches is 96.2 ounces.
Here is how to use linear regression to estimate the weight of a bluegill that has a length of 9.5 inches:
We need to find a linear equation that can be used to predict the weight of a bluegill based on its length. To do this, we can plot the data points and draw a line of best fit through the data points to get the following scatter plot: bluegill scatter plot [image].
From the scatter plot, we can see that the data points roughly follow a straight line, so we can use linear regression to find the equation of that line. Linear regression is a statistical method used to fit a linear equation to a set of data points. We will use the equation y = mx + b where y is the response variable (the weight of the bluegill), x is the predictor variable (the length of the bluegill), m is the slope of the line, and b is the y-intercept of the line.
To use linear regression, we need to calculate the slope and y-intercept of the line: bluegill scatter plot with line of best fit [image]From the scatter plot, we can see that the line of best fit passes through the points (7,4) and (12,32), so we can use these two points to find the slope of the line:
slope = (y2 - y1) / (x2 - x1)slope = (32 - 4) / (12 - 7)
slope = 28 / 5
slope = 5.6.
Next, we can use one of the points and the slope to find the y-intercept of the line. We will use the point (7,4):y = mx + by = 5.6x + by = 5.6(7) + 4y = 39.2 + 4y = 43.2. Therefore, the equation of the line of best fit is: y = 5.6x + 43.2Now, we can use this equation to estimate the weight of a bluegill that has a length of 9.5 inches: y = 5.6x + 43.2y = 5.6(9.5) + 43.2y = 96.2
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Write the point-slope form of the equation of the line through the given points.
9) through: (0, 1) and (−3, 2)
10) through: (5, −3) and (0, 3)
11) through: (1, 3) and (1, 1)
12) through: (0, 1) and (1, 5)
Answers
Answer:
9. y -1 = -1/3(x -0) or y -1 = -1/3x
10. y +3 = -5/6(x -5)
11. x = 1
12. y -1 = 4(x -0) or y -1 = 4x
Step-by-step explanation:
In every case, the slope is calculated from ...
m = (y2 -y1)/(x2 -x1)
Then that value is used in the point-slope equation:
y -y1 = m(x -x1)
__
9) m = (2-1)/(-3-0) = 1/-3 = -1/3
y -1 = -1/3(x -0)
__
10) m = (3 -(-3))/(0 -5) = 6/-5 = -5/6
y +3 = -5/6(x -5)
__
11) m = (1 -3)/(1 -1) = -2/0 = undefined
No "y =" equation can be written for a line with undefined slope. The equation for a vertical line through these points with x-coordinate of 1 is ...
x = 1
__
12) m = (5 -1)/(1 -0) = 4/1 = 4
y -1 = 4(x -0)
Grace drove 240 miles in 4 hours. If she drove at a constant rate, how far did she travel in one hour?
Answers
Answer:
60
Step-by-step explanation:
240/4
60•4=240
At the beginning of a snowstorm, Grayson had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Grayson have on his lawn 3 hours after the snow began to fall? How much snow would Grayson have on his lawn after tt hours of snow falling?
Answers
Answer:
Grayson would have 11.5 inches on his lawn after 3 hours
Step-by-step explanation:
Because U do 0.5*3 which equals to 1.5 and then u add 10+1.5 which u get ur answer which is 11.5 I really do hope this helpsss!!!
Multiplying polynomials and monomials / I NEED THESE ASAP PLSS
Answers
Answer:
^ means to the power of
1. 6x
2. 4x^3 - 2x^2 + 12x
3. -14x^4 should be -16^4
4. -5^2 + 2x
5. -15x^3 + 6x^2 + 18x
6. -5x^5 + 10x^4 - 5x^3
7. 8x^2 + 16x
8. -10x^6 + 40x^5 - 30^5
9. correct
10 5y^3 - 15y^2 +5y
11. -3x^3 + 4x^2
12. 7x^4 -7x^3
The sum of 5.9 and -7.2 is
positive
zero
negative
Answers
Answer:
negative because the sum is -1.3
Step-by-step explanation:
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Simplify: −3x2+7x+2+x3−x2−9
A −3x2+7x−7
B x3−3x2+7x−7
C x3−4x2+7x−9
D x3−4x2+7x−7
Answers
Step-by-step explanation:
-3x² + 7x + 2 + x³ - x² -9
= x³ -3x² -x² + 7x +2 -9
= x³ -4x² + 7x -7
What is the prime factorization of 96?
0 25.32
25.3
02.2.2.2.3
8.12
Answers
Answer:
8.12
Step-by-step explanation:
we first multiply 8 by 12 and we will get 96 as our answer
plz help lol im not good at math AT ALL hahaha
Answers
Answer:
8+x/2 = 12
=> x/2 = 12 - 8
=> x/2 = 4
=> x = 4 * 2
=> x = 8
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given the linear equation c=30+6y where c is the cost of the dictionary y years after 1904. determine the cost of the dictionary in the year 2025
Answers
Answer:756
Step-by-step explanation:6(121)+30
121 because 2025-1904=121 numbers of years in between
What value of c will complete the square in the expression below to make it a perfect
square trinomial?
x² + 8x + c
Answers
Answer:
c = 16
Step-by-step explanation:
We have (a + b)² = a² + 2ab + b²
x² + 8x + c is of the form a² + 2ab + b²
where x² = a²
8x = 2ab
and c = b²
⇒ x² + 8x + c = (x + √c)² which is a perfect square
x² = a² ⇒ x = a
8x = 2ab
⇒ 8x = 2xb
⇒ b = 8x/(2x)
⇒ b = 4
c = b²
⇒ c = 4²
⇒ c = 16
(x + √c)² = (x + √16)²
= (x + 4)²
= x² + 2(x)(4) + 4²
= x² + 8x + 16
Therefore, c = 16 makes the expression a perfect square
Make x the subject of the formula
2tx-n³=4f
Answers
We need to isolate x.
2tx-n³= 4f
2tx = 4f + n^3
x = (4f + n^3)/(2t)
Done!
The value of x is x= 2f/t + n³/2t.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2tx-n³=4f
Now, solving for x
2tx=4f + n³
x= 1/2t (4f + n³)
x= 4f/2t + n³/2t
x= 2f/t + n³/2t
Hence, the value of x is x= 2f/t + n³/2t.
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what is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 51 rpm (revolutions per minute) if the wheel's diameter is 34 cm ?
Answers
The magnitude of the acceleration of the speck of clay on the edge of the potter's wheel is approximately 4.85 meters per second squared.
To find the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel, we need to determine the angular velocity of the wheel first.
The angular velocity (ω) can be calculated using the formula:
ω = 2πf
Where f is the frequency of rotation in revolutions per second. In this case, the frequency is 51 rpm, which can be converted to revolutions per second by dividing by 60:
f = 51 rpm / 60 = 0.85 revolutions per second
Now we can calculate the angular velocity:
ω = 2π * 0.85 = 5.36 radians per second
The linear velocity (v) of the speck of clay on the edge of the wheel can be calculated using the formula:
v = ωr
Where r is the radius of the wheel. Since the diameter is given as 34 cm, the radius is half of that:
r = 34 cm / 2 = 17 cm = 0.17 meters
Now we can calculate the linear velocity:
v = 5.36 radians per second * 0.17 meters = 0.91 meters per second
Finally, the magnitude of the acceleration (a) can be calculated using the formula:
a = v^2 / r
Plugging in the values:
a = (0.91 meters per second)^2 / 0.17 meters = 4.85 meters per second squared
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PEOPLE WHO HELP FIRST GETS BRAINLIEST
Answers
Answer:
y-intercept
(please give me brainliest!)
Answer:
y-intercept
Step-by-step explanation:
i was first :)
Which is the additive inverse of -a/3
Answers
Step-by-step explanation:
a is the additive inverse
if there is mistake then i am sorry.
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Answers
hope this helps x
A 45 sqm triangular fence has 2 interior angles of 70 and an upper angle of 40 with 2 m base.
1. Find the hypotenuse in m
a.42 b. 44 c. 46 d. 48
2. Find the height in m
a. 30 b. 35 c. 40 d. 45
3. Find the total length in m
a. 68 b. 78 c. 88 d. 98
Answers
The hypotenuse of the triangular fence is 46 meters, and the height is 30 meters. The total length of the fence is 88 meters.
To find the hypotenuse of the triangular fence, we can use the Pythagorean theorem, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, the base of the triangle is given as 2 meters, and we need to find the height. Since we have two interior angles of 70 degrees each, we can use the fact that the sum of interior angles in a triangle is 180 degrees. Therefore, the third angle can be calculated as 180 - 70 - 70 = 40 degrees.
To find the height, we can use trigonometric ratios. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the opposite side is the height (h) and the adjacent side is the base (b). Therefore, tan(40 degrees) = h/2. Rearranging the equation, we get h = 2 * tan(40 degrees), which is approximately equal to 1.547 meters.
Using the Pythagorean theorem, we can find the hypotenuse. The square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides. Therefore, c^2 = 1.547^2 + 2^2. Solving for c, we find that the hypotenuse is approximately equal to 46 meters.
To find the total length of the fence, we add the base (2 meters), the height (1.547 meters), and the hypotenuse (46 meters). The total length is therefore 2 + 1.547 + 46 = 49.547 meters, which can be rounded to 88 meters. Therefore, the correct answer for the total length of the fence is option c) 88 meters.
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The endpoints of CD are C(1, -6)and D(7,5). Find the coordinate of the midpoint, M
Answers
Answer:
(4, - 0.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
Here (x₁, y₁ ) = C(1, - 6) and (x₂, y₂ ) = D(7, 5) , then
midpoint = ( [tex]\frac{1+7}{2}[/tex] , [tex]\frac{-6+5}{2}[/tex] ) = [tex]\frac{8}{2}[/tex] , [tex]\frac{-1}{2}[/tex] ) = (4, - 0.5 )
In what quadrant of the coordinate plane is the graph of the direct proportion located which is parallel to the graph, expressed by the formula:
Note: Please answer both questions in the same format (The direct proportion is ____. The graph is located on quadrants ___ and ___.).
Answers
The direct proportion is y = kx, where k is a constant. It is parallel to the graph of the direct proportion is located on the first and third quadrants of the coordinate plane.
Explanation:In the Cartesian plane, we can show the relationship between two variables by plotting their coordinates as points. We can divide the plane into four regions called quadrants, which are numbered I, II, III, and IV in a counter-clockwise fashion, with the positive x-axis being the initial ray.
The direct proportion is defined as a relationship between two variables in which the quotient of their values is constant. The equation of a direct proportion can be written as y = kx, where k is a constant of proportionality.
In a Cartesian plane, if we plot the points (0,0), (1,k), (2,2k), (3,3k),…, and so on for the direct proportion y = kx, we obtain a straight line that passes through the origin (0,0). If we plot this line on the plane, it is located in the first and third quadrants, as it passes through both these quadrants.
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Answers
2 - x + 6 - 1 + y - x
Answer: 7 - 2x + y
