Answer:
A
Step-by-step explanation:
given the x- intercepts x = a and x = b then the corresponding factors are
(x - a) and (x - b)
the equation of the quadratic is then the product of the factors , that is
y = a(x - a)(x - b) ← a is a multiplier
here the x- intercepts are x = 4 and x = 8 , then factors are
(x - 4) and (x - 8 ) , so
y = a(x - 4)(x - 8)
to find a substitute any other point on the graph into the equation
given vertex = (6, - 4 ) , then
- 4 = a(6 - 4)(6 - 8)
- 4 = a(2)(- 2) = - 4a ( divide both sides by - 4 )
1 = a , then
y = (x - 4)(x - 8) ← expand using FOIL
y = x² - 12x + 32
what is 7/9 divided by 1/3? A.2 B.2 1/9 C.2 1/3. D.3
Answer:
It would be 2 1/3!
Step-by-step explanation:
please help thank you!!
Find the volume of a cone with a base diameter of 9 and a height of 12. Write the exact volume in terms of pi , and be sure to include the correct unit in your answer.
Answer:
81π cubic units
Step-by-step explanation:
The formula for volume of cone is given by:
V = 1/3πr^2h, where
V is the volume in cubic units,r is the radius of the circular base,and h is the height of the cone.Step 1: Find radius:
We know that the diameter, d, is simply twice the radius. Thus, we can find the radius of the circular base by dividing the given diameter by 2:
d = 2r
d/2 = r
9/2 = r
4.5 units = r
Thus, the radius of the circular base is 4.5 units.
Step 2: Find volume and leave in terms of pi:
We can find the volume in terms of pi by plugging in 4.5 for r and 12 for h and simplifying:
V = 1/3π(4.5)^2(12)
V = 1/3π(20.25)(12)
V = 1/3π(243)
V = 81π cubic units
Thus, the volume of the cone in terms of pi is 81π cubic units.
Evaluate. [4.2−3(2.1)] + 1 (-0.2)² What is the value of the expression? Enter your answer as a decimal in the box.
On evaluating the value of the expression [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .
In the question ,
the expression is given as
[4.2−3(2.1)] + 1 (-0.2)²
the value of (-0.2)²= (-0.2)*(-0.2)
= 0.04
Substituting the value of (-0.2)² in expression , we get
=[4.2−3(2.1)] + 1*0.04
=[4.2−3(2.1)] + 0.04
Solving the terms inside [ ] , we have
multiplying 3 with 2.1 we get
3*2.1= 6.3
Substituting it in the expression above we get
= [4.2−6.3] + 0.04
Simplifying further , we get
= -2.1 + 0.04
= -2.06
Therefore , on evaluating the value of the expression [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .
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Answer:
Step-by-step explanation:
The answer is -2.06.
hope you get a good grade!!!
Qu es un circuito electrónico
Answer: Electrical network
Step-by-step explanation: this is the answer hope it helps
Michael is on page 28 of a 315-page book. He must finish the book within the next 14 days. He solved the inequality 28+ 14p = 315 He did not use the correct value as the coefficient of p and should have solved 14 + 28p <= 315
Answer:
yes you're right it is 14 + 28p = 315
Answer:
C
Step-by-step explanation:
I had this question edge 2021
3. Carolina solved the following division problem by drawing an area model.
b
a. What division problem did she solve?
b. Show how Carolina's model can be represented using the distributive property
Answer:hiisay hi to everyone to make their day
Step-by-step explanation:
PLEASE HELPPPPPPPP WILL GIVE BRAINLY .The volume of a right rectangular shipping carton is 948.75 cubic meters. The height of the shipping carton is 11 meters, and the width is 7.5 meters.
What is the length of the shipping carton?
Enter your answer as a decimal in the box.
[] m
Answer
The length is 11.5.
Step-by-step explanation:
Knowing to find the volume, you must use w,h,l, we simply need to switch up the formula. the new formula is L= V over hw = 948.75 over 11 x 7.5 = 11.5
5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of the bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?
Answer: 1008
Step-by-step explanation:
Given
5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.
The volume of big container is the LCM of the 5 given containers
\(LCM(16,72,12,24,56)=1008\)
Therefore, the capacity of the bigger container is 1008 litres.
Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
27) Suppose the price elasticity of supply for shampoo is 20. If the price of shampoo increases by 0.7%, what would we expect to happen to the quantity of shampoo supplied?
a) Increase by 27%
b) Increase by 14%)
e) Increase by 13%
d) Decrease by 13%
28)
e) Decrease by 27%
If pasta is a Giffen good, then....
a) pasta is also a normal good.
b) pasta is also a luxury good.
e) an decrease in the price of pasta will increase the quantity demanded. d) an increase in the price of pasta will increase the quantity demanded. e) pasta must make up a small portion of consumers' total expenditures.
20)
An inferior good in which the income effect dominates the substitution effect is called....
a) a normal good.
b) a luxury good.
30)
a) a Giffon good.
d) a mass-produced good.
e) a favored good.
The cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of
a) its complements but not its substitutes.
b) Its substitutes but not ita complements.
c) its substitutes and its complements.
d) neither its substitutes nor its complements. e) None of the above..
In question 27, the price elasticity of supply for shampoo is given as 20, and the price of shampoo increases by 0.7%. The expected change in the quantity of shampoo supplied can be determined using the concept of price elasticity of supply. However, the specific percentage change in quantity supplied is not provided, so a precise answer cannot be given based on the given information.
In question 20, an inferior good in which the income effect dominates the substitution effect is referred to as a Giffen good. It is not classified as a normal good, luxury good, mass-produced good, or favored good.
In question 30, the cross elasticity of demand measures the responsiveness of the quantity demanded of a particular good to changes in the prices of its substitutes and complements. The correct answer is that the cross elasticity of demand measures the responsiveness to changes in both substitutes and complements.
In question 27, without the specific percentage change in quantity supplied, we cannot determine the exact outcome based on the given information. The price elasticity of supply of 20 suggests that the quantity supplied is highly responsive to changes in price, but the specific percentage change in quantity supplied cannot be calculated without additional data.
In question 28, the relationship between pasta being a Giffen good and other characteristics is not specified. While pasta being a Giffen good indicates that the quantity demanded increases as the price increases, it does not imply whether pasta is a normal good, luxury good, or how price changes affect quantity demanded.
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Triangle ABC has angle measures as shown show work.complete sentence
a. What is the value of x?
b. What is the measure of angle CAB?
d. When these 3 interior angles of a triangle are added together, what does it equal?
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees.
a.
90 + 2x + (3x - 20) = 180
90 + 2x + 3x - 20 = 180
70 + 5x = 180
5x = 110
x = 22
b.
2(22) = 44
c.
The interior angles of a triangle add up to 180 degrees.
please give me a brainliest answer
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The width of a room is 8 feet, and the area of the room is 120 square feet. Find the room's length.
112ft
960ft
15ft
52ft
An enclosure at a zoo contains giraffes and ostriches. All together the zookeeper counts 70 heads and 200 legs. How many of each animal are there?
By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
A mathematical statement known as an equation is made up of two expressions joined by the equal sign.
A formula would be 3x - 5 = 16, for instance.
When this equation is solved, we discover that the number of the variable x is 7.
So, calculate as follows:
Let g represent giraffes and o represent ostriches.
g + o = 70 ...(1)
4*g + 2*o = 200 ...(2)
g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:
4*g + 2*o = 200
4*(70-o) + 2*o = 200
280 - 4o + 2o = 200
-2o = 200 - 280
2o = 80
o = 80/2
o = 40
Ostriches are 40 then giraffes will be:
70 - 40 = 30
Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.
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The equation of a line is 5x+2y=6 find the gradient and y-intercept this line
The gradient of the line is \(\frac{-5}{2}\) and the y - intercept is 3.
What are the intercepts?
A line or curve's "intercept" is the point at which it crosses the axis of a graph. The x-axis' intersection point is known as the x-intercept. The location where the y-axis crosses is known as the y-intercept. When a line has an intercept, what is meant is the x- or y-axis junction point.
We are given an equation of line to be 5x + 2y = 6.
Now, converting in the slope - intercept form, we get
⇒ 2y = -5x + 6
⇒ y = (-5x + 6) ÷ 2
⇒ y = \(\frac{-5}{2}\)x + 3
From this, we get
m = \(\frac{-5}{2}\) and b = 3
This means that the slope which is the gradient is \(\frac{-5}{2}\) and b represents the y - intercept.
Hence, the gradient of the line is \(\frac{-5}{2}\) and the y - intercept is 3.
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Mr. Hudkins wants his 6th grade math class to memorize their multiplication facts. He decides to increase the number of facts they are expected to memorize each week and creates the following table.
Usingw = number of weeks and m = number of multiplication facts, which of the following equations is represented by the table Mr. Hudkins created?
A
m = 30 × 2w
B
m = 15 + w
C
w = 15m
D
m = 15w
Answer: m = 15w
Step-by-step explanation: The reason why the answer is m = 15w is because since he said "He decides to increase the number of facts they are expected to memorize each week." Which makes it so that only the multiplication fact increased to 15 since they wouldn't put it lower then that. And there is a 2nd reason why the multiplication fact is 15. the reason why is because theres only one answer with 30 and its completely wrong. So therefore,, The answer is Multiplication Fact = 15weeks.
Answer:
m = 15w
Step-by-step explanation:
Starfish have about 15,000 tiny feet that help them move around the ocean floor. The table shows the distance traveled by a starfish over a given time.
Answer: its ''A'' it takes a starfish 60 seconds to travel 1 meter
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Answer all sub-questions:
a) Compare and contrast the "Monte Carlo" and "Historical" simulation as tools for measuring the risk. [11 grades]
b) Why in risk analysis the right choice of the probability distribution that describes the risk factor's values it is of paramount importance? Discuss [11 grades] [11 grades]
c) Describe how statistics are used in risk management.
Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.
a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\
b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.
c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.
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-10 es mayor o menor que -1
Answer:
less than (10 es menos de 1)
-$-4-3/-2
V
Which equation represents a circle with the same radius
as the circle shown but with a center at (-1, 1)?
O(x-1)²+(v + 1)² = 16
O(x-1)² + (y + 1)² = 4
O (x + 1)² + (v-1)² = 4
O(x + 1)² + (y-1)² = 16
The equation represents a circle with the same radius as the circle shown but with a center at (-1, 1) is (x + 1)² + (y - 1)² = 16.
We know that, the center of a circle is (-1, 1).
We know that, the standard form for an equation of a circle is
(x - h)² + (y - k)² = r²
The (h, k) are co-ordinate of your Centre of circle, which in this case is (-1,1) and r is the radius of circle.
As we can see in the figure radius = 4units
From Centre (1,-2) to (1,-2)
Put these into the equation
(x + 1)² + (y - 1)² = 4²
(x + 1)² + (y - 1)² = 16
Therefore, option D is the correct answer.
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Adi bought a bag for $25 and sold it at a loss of 10%. Find the selling price of the bag.
Answer:
The selling price of the bag is $22.5
Step-by-step explanation:
Buying Price = $25,
Selling Price = ?
Since they sold it at a loss of 10%,
So, they sold it for a price 10% less than the buying price,
or at 90% or 0.9 of the buying price,
so,
Selling Price = (0.9)(25) = $22.5
1. the production function is Cobb-Douglas requiring only labor input, i.e., Y =zNa,and
2. consumer get "disutility" from working, and the utility function is given by U (C, N ) = ln C − bN , where b is a parameter.
a. what is the the equilibrium wage as a function of labor demand N?
b. firm’s profit π = z must be
The equilibrium wage rate as a function of labor demand N is w = z, and the firm's profit π = 0.
a. To find the equilibrium wage as a function of labor demand N, we need to maximize the profit of the firm while taking into account the utility function of the consumer.
The firm's profit function is given by π = zN - wN, where w represents the wage rate.
To maximize the firm's profit, we take the derivative of the profit function with respect to N and set it equal to zero:
dπ/dN = z - w = 0
This implies that the equilibrium wage rate w is equal to z.
Therefore, the equilibrium wage as a function of labor demand N is simply w = z.
b. The firm's profit π is given by π = zN - wN, where w represents the wage rate. In this case, we have already established that the equilibrium wage rate is w = z.
Substituting w = z into the profit function, we have:
π = zN - zN = 0
Therefore, the firm's profit π is zero.
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8) A cumulative relative frequency distribution shows _____
A) the proportion of data items with values less than the upper limit of each class
B) the proportion of data items with values less than the lower limit of each class
C) the proportion of data items with values more than the lower limit of each class
D) the proportion of data items with values more than the upper limit of each class
A cumulative relative frequency distribution shows option (A) the proportion of data items with values less than the upper limit of each class
A cumulative relative frequency distribution shows the proportion of data items with values less than or equal to the upper limit of each class. It provides a cumulative summary of the data distribution by adding up the frequencies or proportions of all preceding classes.
To construct a cumulative relative frequency distribution, you start with the lowest class and calculate the relative frequency (proportion) of data items in that class. Then, for each subsequent class, you add the relative frequency of that class to the cumulative relative frequency from the previous class. This cumulative value represents the proportion of data items with values less than or equal to the upper limit of the current class.
In essence, a cumulative relative frequency distribution allows you to track the accumulation of data values as you move through the classes, giving insights into the overall distribution and the proportion of data items falling below specific values.
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A bowling alley charges $3+tax per shoe rental and $4+tax per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
tax rate is - 13%
The total cost will be $21 for the bowling alley.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that a bowling alley charges $3 plus tax for each pair of shoes and $4 plus tax for each player every game. If you and a friend hire a pair of shoes and bowl three games.
The total cost will be calculated as:-
Cost = ( 3 + 4 ) x 3
Cost = 7 x 3
Cost = $21
Therefore, the total cost will be $21.
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What’s the answer plss
Opposite Q is length PR
Adjacent is 7
Hypotenuse is 19
We got AH - which is CAH or cos
Cos-1( 7/19) = 68.38....
It's 68.4 degrees
The closest answer to this is B. So, choose that because it maybe due to a typing error.
Hope this helps!
Find the rate of red beads per bracelets. Explain how you found your answer
Answer:
is there a photo to look at
Step-by-step explanation:
Find the measure in ®F.
b. m ABD
The measure of angle BAC is equal to the measure of angle ABC.
Given: ∠ABD = ∠CAD and ∠BAD = ∠ACD
We need to find: ∠BAC
To solve this, we will use the property that the angles of a triangle add up to 180 degrees. We will start by analyzing triangle ABC.
In triangle ABC, the sum of angles is 180 degrees. So, we have:
∠BAC + ∠ABC + ∠ACB = 180 degrees ...(1)
Now let's analyze triangle ABD. Here, we know that ∠ABD = ∠CAD and ∠BAD = ∠ACD.
In triangle ABD, the sum of angles is 180 degrees. So, we have:
∠BAD + ∠ABD + ∠ADB = 180 degrees ...(2)
Substituting ∠BAD = ∠ACD and ∠ABD = ∠CAD from the given information, equation (2) becomes:
∠ACD + ∠CAD + ∠ADB = 180 degrees ...(3)
Comparing equations (1) and (3), we observe that the sum of the angles in triangle ABC is the same as the sum of the angles in triangle ABD. This suggests that the remaining angles in both triangles, ∠ABC and ∠ACB, must be equal to ∠ADB.
Since ∠ABC = ∠ADB, we can rewrite equation (1) as:
∠BAC + ∠ADB + ∠ACB = 180 degrees ...(4)
Now, substituting ∠ADB with ∠ABC in equation (4), we get:
∠BAC + ∠ABC + ∠ACB = 180 degrees ...(5)
Comparing equations (5) and (1), we see that they are identical. This implies that ∠BAC = ∠ABC.
Therefore, based on the given information and the properties of triangles, we can conclude that ∠BAC = ∠ABC.
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Complete Question:
In the adjoining figure find the measure of ∠BAC if∠ABD=∠CAD and ∠BAD=∠ACD
cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s) express your answer in volts using two decimal places.
The standard cell potential for the given reaction is 0.57 volts.
To determine the standard cell potential, we can use the Nernst equation:
E = E° - (0.0592/n) * log(Q)
Where E is the cell potential, E° is the standard cell potential, n is the number of electrons transferred in the balanced equation, and Q is the reaction quotient.
For the given reaction:
2 Cr2O7^2-(aq) + 14 H+(aq) + 6 I-(aq) → 2 Cr^3+(aq) + 7 H2O(l) + 3 I2(s)
The number of electrons transferred is 6, and the reaction quotient Q is not given.
Since the standard cell potential E° is not provided, it cannot be directly calculated without further information.
The standard cell potential for the given reaction involving Cr2O7^2-, H+, and I- cannot be determined without the standard cell potential value (E°) and the reaction quotient (Q).
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red-green color blindness is controlled by an x-linked gene in humans. the allele that causes color blindness is rare and recessive to the allele for normal vision. a man and woman both with normal vision had color-blind fathers. if this man and woman have a child, what is the probability that the child will be color blind?
Red-green color blindness is controlled by an x-linked gene in humans. The allele that causes color blindness is rare and recessive to the allele for normal vision. A man and woman both with normal vision had color-blind fathers. If this man and woman have a child, Therefore, the probability of a child being color-blind is 25%.
Red-green color blindness is an X-linked recessive disorder. This means that the gene for the disorder is found on the X chromosome. Because males have only one X chromosome (inherited from their mother), they will develop color blindness if they inherit the allele from their mother. On the other hand, females need to inherit two copies of the allele, one from each parent, to develop the disorder.A man with normal vision will have the genotype XY, and the woman will have the genotype XX.
Each child of the couple will receive one X chromosome from the mother and one Y chromosome from the father. The probability of the child inheriting the allele for color blindness from its father is 0 because he has no alleles for color blindness.
The probability of the child inheriting the allele for color blindness from its mother is 1/2 because the mother's X chromosome has a 1/2 probability of carrying the allele. Because the mother is a carrier, the probability of the child receiving the allele is 1/2.
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