Answer:
10
Step-by-step explanation:
10x^2y^-2
10(-1)^2(-2)^2=10
If f(x) = 4x + 5,, determine f(-2).a. -7/4b. 13c. -3d. 7
We are given the function: f(x) = 4x + 5
To find f(-2), we substitute the value of x with -2 to get:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
OPTION C
my Christmas present to you
Answer:
ty
Step-by-step explanation:
How many times larger than 40 is 400?
i need this asap! will give brainliest and a thanks to whoever answers fast :)
Let x and y represent the cost of a blouse and a skirt respectively.
Given;
Dahlia paid $216 for 4 blouses and 5 skirts;
\(4x+5y=216-----1\)A skirt cost 4 times as much as a blouse;
\(y=4x-------2\)We have a system of equation.
Solving the simultaneous equation by substitution;
\(\begin{gathered} 4x+5y=216 \\ 4x+5(4x)=216 \\ 4x+20x=216 \\ 24x=216 \\ x=\frac{216}{24} \\ x=9 \end{gathered}\)substituting the value of x into equation 2 to solve for y;
\(\begin{gathered} y=4x \\ y=4(9) \\ y=36 \end{gathered}\)So, the cost of 5 skirts is;
\(undefined\)The ________ means that none of the points in the line will satisfy the inequality.
Answer: dotted/dashed line
Substitution method
Y = 3x - 2
Y - 3x = 4
Answer:
\(\mathrm{No\:Solution}\)
Step-by-step explanation:
\(\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}\)
\(\mathrm{Substitute\:}Y=3x-2\)
\(\begin{bmatrix}3x-2-3x=4\end{bmatrix}\)
\(\mathrm\:{Combine\:like\:terms:\)
\(\begin{bmatrix}-2=4\end{bmatrix}\)
\(-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)
\(\mathrm{No\:Solution}\)
d) [5 marks] Consider the following demand function for the quantity demanded of product Qt as a function of its market price Pt In Qt = ao + α₁ ln P₁ + a₂ X₁ + EDt Consider also the followin
Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?
To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:
Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.
Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.
Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.
Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.
Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.
In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.
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The complete question may be like:
5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:
Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt
where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.
Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.
Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.
Calculate the mean and median of: 202, 199, 223, 198, 223, 223, 301, 199.
Answer:
mean =225.25, median= 212.5
Step-by-step explanation:
You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5
Pls give brainliest ily<3
cuanto pagaríamos por un libro cuyo precio es de $25 si le aplicamos un descuento del 25% cuanto dinero ahorramos
Tenemos precio de lista de $25 para el libro.
Si aplicamos un descuento del 25%, este descuento representa:
\(D=(\frac{25}{100})\cdot25=0.25\cdot25=6.25\)Ahorramos $6.25.
El precio que pagamos el libro es $18.75.
\(P=L-D=25-6.25=18.75\)assume the state of alabama placed a tax on playing cards of 5 cents per pack. if the state generated $55500 in revenue, how many packs of cards were sold? decks of playing cards
Therefore, we can conclude that the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500
Based on the given information, we can calculate the total number of packs of cards sold in the state of Alabama.
To find the number of packs of cards sold, we need to use the formula:
Revenue = Tax per pack x Number of packs sold
We are given that the tax per pack is 5 cents, and the revenue generated is $55500. So, we can rewrite the formula as:
$55500 = 0.05 x Number of packs sold
To solve for the number of packs sold, we can divide both sides of the equation by 0.05:
Number of packs sold = $55500 / 0.05
Number of packs sold = 1,110,000
Therefore, the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500.
The given question asks us to find the number of packs of playing cards sold in the state of Alabama, assuming that the state placed a tax of 5 cents per pack and generated a revenue of $55500. To solve this problem, we need to use the formula that relates the tax per pack, the number of packs sold, and the revenue generated.
The formula for calculating the revenue generated from a tax on playing cards is:
Revenue = Tax per pack x Number of packs sold
In this case, we are given that the tax per pack is 5 cents, and the revenue generated is $55500. We need to find the number of packs sold.
To do this, we can rearrange the formula to solve for the number of packs sold:
Number of packs sold = Revenue / Tax per pack
Substituting the given values, we get:
Number of packs sold = $55500 / 0.05
Number of packs sold = 1,110,000
Therefore, we can conclude that the state of Alabama sold 1,110,000 packs of playing cards, since the tax of 5 cents per pack generated a total revenue of $55500. It is important to note that this calculation assumes that the tax rate and revenue are directly proportional to the number of packs sold, and that there are no other factors affecting the market for playing cards in Alabama.
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Hello how do I answer this question? 1/2 x 3 + 2/3
The answer to the expression is 13/6
How to calculate the solution to the expression given?The expression is
1/2 × 3 + 2/3
Apply the rule of BODMAS
Multiplication comes before addition
1/2 × 3 + 2/3
= 3/2 + 2/3
The LCM of both sides is 6
9 + 4/6
= 13/6
Hence the solution to the expression is 13/6
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Two forces of 58 newtons and 32 newtons act simultaneously on an
object. The angle between the two forces is 22°. Find the magnitude of
the resultant, to the nearest 10th of a newton. Find the measure of the
angle between the resultant and the smaller force, to the nearest 10th
of a degree.
Answer: 678900 to the 10 power
Step-by-step explanation:
What is the quotient of 5.76 x 10^7 and 9.0 x 10^4 expressed in scientific notation?
Answer:
6.4 x 10²
Step-by-step explanation:
1st step: divide 5.76 by 9 which is .64
2nd step: 10^7÷10^4 = 10^7-4 or 10³
A basket contains 5 pieces of paper numbered from 1 to 5. A hat contains the letters A, B, C and D. If a blindfolded person picks a number and then a letter, what is the probability that the number is greater than 3 AND the letter is C?
We have a basket and a hat.
The basket has the numbers 1, 2, 3, 4 and 5.
The hat contains the letters A, B, C and D.
We have to calculate the probabiltiy of drawing a number that is greater than 3 from the basket and drawing the letter C from the hat.
We have two events:
- Drawing a number greater than 3 from the basket
- Drawing a C from the hat
They are independent as the probability of each on does not depend on the outcome of the other event.
Then, we can calculate the probability of the two events happening together as the product of its probabilities:
\(P(n>3&l=C)=P(n>3)\cdot P(l=C)\)The probability of drawing a number greater than 3 can be described as 2/5, as we have 2 numbers greater than 3 (4 and 5) out of 5 numbers in the basket.
The probability of drawing a letter C can be described as 1/4, as we have one letter C out of 4 letters available.
Then, we can calculate the probability as:
\(\begin{gathered} P(n>3&l=C)=P(n>3)\cdot P(l=C) \\ P(n>3&l=C)=\frac{2}{5}\cdot\frac{1}{4}=\frac{2}{20}=\frac{1}{10} \end{gathered}\)Answer: the probability is 1/10 or 0.1.
Write Write 4x² - ax +9 in the form (2x-b)², where a > 0. Find the value of 2a-b.
A. 12
B. 15
C. 21
D. 27
Answer: A
Step-by-step explanation:
we construct all the words we can by permuting the letters of the word `mississippi' (does not matter if they are valid english words or not). then we pick a word at random from that set. what is the chance of observing `mississippi'?
The chance of observing Mississippi after permuting the letters of it and randomly picking a word from that set is 1 in 34032.
The number of words that can be constructed from the letters of the word "Mississippi" is given by the number of permutations of those letters. Since the letters are not unique, we use the formula for permutations with repetition:
n! / (n₁! × n₂! × ... × nk!)
where n is the total number of letters, and n₁, n₂, ..., nk are the number of times each letter is repeated.
In this case, n = 11 and n₁ = 4, n₂ = 4, n₃ = 2, n₄ = 1.
So, the number of words that can be constructed is 11! / (4! × 4! × 2! × 1!) = 34, 032.
Thus, the chance of observing "Mississippi" is 1 in 34, 032 or approximately 1/34.
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Math GR08 ist NW DCA 20-21
18 of 21
47 39 /0130 00
Mr. Jones is using a rope that is 8 feet long to stabilize the tree he planted in his
garden. The rope is tied down with a stake that is placed 6 feet away from the base
of the tree. A right angle is created with the rope and the base of the tree. Using the
diagram below, how far up the tree did Mr. Jones tie the rope? Round your answer to
the nearest tenth.
8 ft
6 ft
5.3 feet
6.9 feet
8.3 feet
Type here to search
EF
O
AD10/12/20
Answer:
Step-by-step explanation:
To get how far up the tree that Mr. Jones tied the rope, we will use the Pythagoras theorem since a right angle is created with the rope and the base of the tree.
The length of the rope will be the hypotenuse
The distance up the tree and away from the base will be the opposite and adjacent.
Given
length of the rope = 8feet
Distance away from the base of the tree = 6ft
According to Pythagoras;
hyp² = opp²+adj²
8² = opp²+6²
opp² = 8²-6²
opp² = 64-36
opp² = 28
opp = 5.3 feet
Hence the Mr Jones tied the rope 5.3feet above the tree. Option C is correct
how would the width of a 95% confidence interval based on a sample size four times as large compare to the original 95% interval, assuming the sample proportion remained the same?
As the sample size rises, the width of a 95% confidence interval for a sample proportion decreases.
If the sample size is four times greater than the initial sample size but the sample percentage remains constant, the breadth of the 95% confidence interval is reduced by around a factor of two.
This is due to the fact that the standard error, which defines the width of the confidence interval, is proportional to the sample size squared. When the sample size is multiplied by four, the square root of the sample size multiplies by two, resulting in a lower standard error and a smaller confidence range.
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Help me please and thank you!!!
Answer:
f(3) = - 60
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into f(x), that is
f(3) = 5(3)² - 7(4(3) + 3)
= 5(9) - 7(12 + 3)
= 45 - 7(15)
= 45 - 105
= - 60
Jillian burns 187 calories when she runs 2 miles. How many miles will she need to run to burn 500 calories?
Answer:
7.2
Step-by-step explanation:
\(\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }\)
Answer:
\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}
\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}
Step-by-step explanation:
I need help!!!!!!!!!!
Answer:
third
Step-by-step explanation:
Answer:
11 and 12
Step-by-step explanation:
the square root of 125 is 11.18
I need someone’s help fast, I don’t have much longer
Answer:
B
Step-by-step explanation:
What enzyme that is involved in glucose oxidation by the citric acid cycle has a very similar reaction mechanism to 6-phosphogluconate dehydrogenase
The enzyme that has a very similar reaction mechanism to 6-phosphogluconate dehydrogenase in glucose oxidation by the citric acid cycle is isocitrate dehydrogenase.
Isocitrate dehydrogenase is a key enzyme in the citric acid cycle, also known as the Krebs cycle or TCA cycle. It catalyzes the conversion of isocitrate to alpha-ketoglutarate, while producing NADH and CO2 as byproducts. This reaction is an important step in the oxidation of glucose and the production of energy in the form of ATP. The reaction mechanism of isocitrate dehydrogenase involves the removal of a carboxyl group from isocitrate, resulting in the formation of an intermediate molecule called oxalosuccinate. This intermediate is then decarboxylated to produce alpha-ketoglutarate. The overall reaction is coupled with the reduction of NAD+ to NADH. 6-phosphogluconate dehydrogenase, on the other hand, is involved in the pentose phosphate pathway and plays a role in glucose metabolism. Although it operates in a different pathway, the reaction mechanism of 6-phosphogluconate dehydrogenase shares similarities with isocitrate dehydrogenase, particularly in the decarboxylation step and the involvement of NAD(P)+ as a cofactor.
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how long would it take for a lahar to reach the town of orting? in order to get full credit, show your calculations. write your answer in hours and round to the second decimal place.
According to scientists with the USGS Cascades Volcanic Observatory, a lahar could take four hours to reach Puyallup but less than an hour to reach Orting.
The Washington Emergency Management Division has issued a survey to Pierce County residents to learn more about lahars, which are volcanic mudflows that contain a mixture of water and volcanic debris such as boulders. The survey is scheduled to close on Friday.
Hazard maps show that if Mount Rainier erupts, lahar could travel through river valleys as far as Puyallup, Tacoma, and Randle.
Some areas would have more time than others to evacuate. According to the US Geological Survey, previous Mount Rainier lahars travelled at 45-50 miles per hour.
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Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship. Identify and interpret the key features of the function in the context of the situation you described in part A.
The graph is a decreasing exponential graph.
How to illustrate the information?Part A: The given graph is decreasing the exponential graph since the graph is decreasing rapidly as the value of x is increasing the value of y is decreasing very rapidly.
Part B: The graph shown here is maybe the case of any electric appliance which is of cheap quality. The time when it is brought then its performance and its life is awesome after that its life is decreasing rapidly.
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Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 3x2y' + 6xy = 15y3
The required general solution of the differential equation in implicit form y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\).
How to find general solution of the differential equation?The differential equation is a nonlinear equation and cannot be solved exactly by standard methods. One way to approach a solution is to try to find a substitution that transforms the equation into a separable form, where the variables can be separated and integrated separately. A common approach is to make the substitution y = v^(-2/3), which transforms the equation into:
According to question:3x^2 * (2/3) * v^(-5/3) * v' + 6x * v^(-2/3) = 15 * v^(-5/3)
Dividing both sides by v^(-5/3), we get:
3x^2 * (2/3) * v' + 6x * 3 * (2/3) * v^(1/3) = 15
This is now a separable differential equation, and we can integrate both sides to find the general solution:
∫(3x^2 * (2/3) * v' dx) = ∫(15 dx) + C
(2/3) * x^3 * v = 15x + C
v = (3/2) * (15x + C) * x^(-3)
Finally, substituting back for y = v^(-2/3), we get the general solution:
y = \([(3/2) * (15x + C) * x^{-3}]^{-3/2}\)
This is the general solution of the differential equation in implicit form. To find an explicit form, one could solve for C using initial or boundary conditions.
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ok so theres this one kid at my school shes transgender and im currently dating her (shes male to female) but people keep telling her to off herself and she keeps telling me its fine and to not beat them but like?
3. During a particular year, 42 graduating boys chose to attend a 4-year college,
while 58 boys attended a 2-year college; 84 girls chose a 4-year college, and 16
attended a 2-year college. What conclusion can be drawn about how gender and
choice of college are related?
Answer:
girls are more likely to choose a 4-year college, while boys are more likely to choose a 2-year college
Step-by-step explanation:
hope this helps :]
Find the slope of the line containing the two points. (If an answer is undefined, enter UNDEFINED.)(−1, 4), (6, 5)
(x1,y1) = (-1,4)
(x2,y2) = (6,5)
Slope formula (m)
\(m=\frac{y2-y1}{x2-x1}\)Replace with the values given:
\(m=\frac{5-4}{6-(-1)}=\frac{5-4}{6+1}=\frac{1}{7}\)Slope = 1/7