Answer:
Hello,
10,070
Step-by-step explanation:
100% - 12% = 88% = 0.88
28,000 x 0.88^8 = 10,069.76...
Solve: 5 + 3x = -22, x =
Answer:
x = -9
Step-by-step explanation:
5 + 3x = -22
1.) Subtract 5 from itself, then from -22. That then cancels out the 5 on the left and gives you -27 on the right
3x = -27
2.) Divide 3x and -27 by 3 which is the coefficient in this problem.
x = -9
11. The surface area of a triangular prism is 78 square inches. What is
the surface area of a similar prism that is three times as large?
A. 156 square inches
B. 234 square inches
C. 312 square inches
D. 702 square inches
Answer:
D. 702square inches
Step-by-step explanation:
1. V=78km^3
2. K=∛9
3. K^3=∛9^3
4.9 x 78=702
Rest of the Key for the test is here:
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Help me please, will mark brainliest
Answer:
4. 25.1
5. 40.8
6. 22
Step-by-step explanation:
4. c = 2•π•4
5. c = 2•π•6.5
6. c = 2•π•3.5
Find the area of the figure. Round to the nearest hundredth when necessary.
Answer:787.5
Step-by-step explanation:
As attached
Let f be a function from the set A to the set B. Let S and T be subsets of A. Show that a) f (S ⪠T) = f (S) ⪠f (T). b) f (S â© T) â f (S) â© f (T).
(a) z is in f(S⪯T). Since z was arbitrary, we have shown that f(S)⪯f(T) is a subset of f(S⪯T). (b) We have x in
\(S^c⪇T^c\)
and y = f(x) is in
\(f(S^c⪇T^c)\)
a) To prove that f(S⪯T) = f(S)⪯f(T), we need to show that every element in the left-hand side is also in the right-hand side and vice versa.
Let y be an arbitrary element in f(S⪯T). By definition of the image of a set under a function, there exists x in S⪯T such that f(x) = y. Since x is in S⪯T, it must be either in S or in T. Therefore, we have two cases:
Case 1: x is in S. Then, y = f(x) is in f(S) by definition of the image of a set. Therefore, y is in f(S)⪯f(T).
Case 2: x is in T. Then, y = f(x) is in f(T) by definition of the image of a set. Therefore, y is in f(S)⪯f(T).
We have shown that y is in f(S)⪯f(T). Since y was arbitrary, we have proved that f(S⪯T) is a subset of f(S)⪯f(T). Let z be an arbitrary element in f(S)⪯f(T). By definition of the union of two sets, there exist y in f(S) and w in f(T) such that z = y⪯w. By definition of the image of a set, there exist x in S and u in T such that y = f(x) and w = f(u).
Since x is in S and u is in T, x⪯u is in S⪯T by definition of the union of two sets. Moreover, we have: z = y⪯w = f(x)⪯f(u) = f(x⪯u), where the last equality follows from the fact that f is a function.
By showing that each set is a subset of the other, we have proved that f(S⪯T) = f(S)⪯f(T).
b) To prove that
\(f(S⪇T)⊆f(S)⪇f(T)\)
we need to show that every element in the left-hand side is also in the right-hand side.
Let y be an arbitrary element in f(S⪇T). By definition of the intersection of two sets, y is in the image of S⪇T under f, but not in the image of either S or T under f. Therefore, there exists x in S⪇T such that f(x) = y, and x is not in S or T. Since x is not in S, it must be in the complement of S, denoted S^c. Similarly, x must be in T^c.
By definition of the complement of a set, S⪆S^c and T⪆T^c. We have:
\(S⪇T = (S^c)⪆(T^c)\)
and
\(S⪅T = (S^c)⪇(T^c)\)
By substituting
\(S^c⪆T^c\)
for S⪇T in the first.
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Pls answer this pls pls
1) 520
2)60
3)2600
4)3760
Answer:
1. 520
2. 60
3. 2600
4. 3760
Step-by-step explanation:
\({hope it helps}}\)
Evaluate, 2x-6 if x=.5
Answer:
-5
Step-by-step explanation:
2x-6
2(.5)-6
1-6
-5
what is the meaning of equations
Answer:
I hope it helps u
Step-by-step explanation:
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol(=) between two algebraic expressions that have the same value. ... In an algebraic equation, the left-hand side is equal to the right-hand side.
Mark me as brainlist answer,
have a nice day,
thank you
pls
help tis
Null and alternative hypotheses are statements about descriptive statistics. Select one: O True False
False. Null and alternative hypothesis are not statements about descriptive statistics.
Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.
The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.
Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.
Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.
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A student at St. F. X. decided to become his own employer by using his car as a taxi for the summer. It costs the student $693.00 to insure his car for the 4 months of summer. He spends $452.00 per month on gas. If he lives at home and has no other expenses for the 4 months of summer and charges an average of $7.00 per fare, how many fares will he have to get to be able to pay his tuition of $3280.00? Provide mathematical calculations and/or reasoning to support your answer.
Given :
Insurance cost , $693.00 .
Gas cost , $452.00 .
Average charge per fare , $7.00 .
Tuition fee , $3280.00 .
To Find :
The fare he have to get to pay his fee .
Solution :
Let , number of fair required is n .
Therefore , total profit is :
\(Profit = earning - expenditure \\Profit = 7n - 693-452\\Profit = 7n-1145\)
Now , to pay his fee this profit must be equal to his fee because he don't have other expenditure .
So ,
\(7n-1145=3280\\\\7n=4425\\\\n=\dfrac{4425}{7}\\\\n=632.1\)
But number of rides cannot be in decimal so minimum rides he must get is
632+1 = 633 .
Hence, this is the required solution .
What is the difference between addition and subtraction of polynomials?
The difference between addition and subtraction of polynomials is that addition involves like terms and subtraction involves taking one polynomial away from another.
A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).
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what is the average number of a question
Answer:
Overall, across all grades and subjects, the average test question count is 10, the second favorite number of questions is 5. A major contributor in determining the question count for an assignment is its assessment type.
Hope I helped!! If I did please give brainliest because I cant level up without having 1 more ;(
<3 Enjoy,
Dea
Answer:
that's so ez
Step-by-step explanation:
but idc.......!!!!!!!!
Jack decided to buy some of the rooms in this hotel. You found out that the room required 2/5 cans of paint. if Jeff buys 14 cans of paint, how many rooms can he paint?
The number of room that can be painted can be determined as,
\(\begin{gathered} N=\frac{14}{\frac{2}{5}} \\ =14\times\frac{5}{2} \\ =35 \end{gathered}\)Thus, the required number of rooms is 35.
Question: The article "Consumers Show Increased Liking for Diesel Autos" reported that 27% of U.S. consumers would opt for a diesel car if it ran as cleanly ...
The article reported that 27% of U.S. consumers would choose a diesel car if it had clean emissions.
The given information states that according to the article, 27% of U.S. consumers would opt for a diesel car if it ran as cleanly as a gasoline car or had clean emissions. This statistic suggests that there is a significant portion of consumers who are open to choosing diesel cars if environmental concerns related to emissions are addressed.
The article highlights a potential shift in consumer preferences towards diesel cars, indicating an increased liking or acceptance for this type of vehicle if certain conditions are met. This finding can be valuable for the automotive industry, policymakers, and researchers, as it provides insights into consumer sentiments and preferences regarding alternative fuel options.
By understanding consumer preferences, manufacturers and policymakers can make informed decisions and develop strategies to meet the evolving demands of the market and address environmental concerns.
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7 and -3 are the roots of the quadratic equation x^2+kx-21=0 what is the value of k
Answer:
-4
Step-by-step explanation:
The roots are 7 and -3, so the factored version is (x - 7) (x + 3)
Foil them and you get x^2 - 4x - 21
For which values of t is each set linearly independent?
(a) S = {(t, 1, 1), (1, t, 1), (1, 1, t)}
(b) S = {(t, 1, 1), (1, 0, 1), (1, 1, 3t)}
S = {(t, 1, 1), (1, 0, 1), (1, 1, 3t)} is linearly independent of t.
Therefore the answer is b) S = {(t, 1, 1), (1, 0, 1), (1, 1, 3t)}.
(a) S is linearly independent for all values of t if the following equation has a non-trivial solution:
a(t, 1, 1) + b(1, t, 1) + c(1, 1, t) = (0, 0, 0).
Expanding this equation, we get:
at + b + c = 0
a + bt + c = 0
a + b + ct = 0.
Solving this system of linear equations, we find that a = b = c = 0. This implies that any linear combination of the vectors in S results in the zero vector, so S is linearly dependent for all values of t.
(b) S is linearly independent if the following equation has a non-trivial solution:
a(t, 1, 1) + b(1, 0, 1) + c(1, 1, 3t) = (0, 0, 0).
Expanding this equation, we get:
at + b + 3ct = 0
b = 0
a + c = 0.
Since a and c cannot both be zero, this system has no trivial solution, which means that S is linearly independent for all values of t.
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Zoom in to see better pls help!!
Answer:
12 inches
Step-by-step explanation:
I spent $2000 to get
Brownie Town up and running. We make all sorts of brownies. Some have peanuts, some have chocolate chips, and others have icing.
Every month I earn $200
from Brownie Town sales.
The equation form as per the statement in the question will be y = -200x - 2000.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
They spent $2,000 therefore that would be -2,000, and they make $200 per month selling brownies.
So simply add -2,000 each time on the chart under "Income made," and the final amount should be 600.
So, the equation will be,
y = -200x - 2000.
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
Answer: 84 square inches.
Step-by-step explanation:
Side A of shaded: 5+3+3 = 11
Side B of shaded: 3+3+3= 9
11x9= 99
99-(3x5{normal rectangle area})= 84
An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle? Choose all that apply. 23 20 72 81
Answer:
23
Step-by-step explanation:
one angle = 134
Other two angles are the base angles which are same.
x + x + 134 = 180 {Angle sum property}
2x + 134 = 180
2x = 180 - 134
2x = 46
x = 46/2
x = 23
Other two angles are 23 , 23
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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There were 3238 people chosen to settle colonies on Mars this year. They will join the 2348 people who were chosen last year. There are a total of 98 colonies planned, and each colony will hold an equal number of people. How many people will be in each colony?
Answer:
There will be 100's and thousands or people
Step-by-step explanation:
I NEED HELP PLEASE !!!
Answer:
real numbers, including the boundary lines
Step-by-step explanation:
The inequality symbols in this system both include the "or equal to" case, so the boundary lines of the "shaded area" are part of the solution set.
Ordinarily, weight is a continuous variable, so we presume the weights of almonds and cashews may be any real number. The problem statement gives no clarity in that regard, so it is entirely possible that the given nuts will only be delivered in packages with integer weights.
Based on our presumption, the solution set is best described as below.
_____
Additional comments
Each inequality gives rise to a "shaded region," as shown in the second attachment. The solution set will be the doubly-shaded region, limited to the first quadrant. (Quantities of nuts cannot be negative.) Strictly speaking, the answer choices are all incorrect.
the ideal way to organize electronically the raw data for a study is to:____.
The ideal way to organize electronically the raw data for a study is to use a database management system (DBMS). A DBMS allows the researcher to store, manipulate, and retrieve data in a structured and organized manner. This enables the researcher to easily analyze the data and draw meaningful conclusions from it.
Additionally, a DBMS ensures data accuracy, consistency, and security. Overall, using a DBMS is the most efficient and effective way to manage raw data for a study.
This allows for efficient organization, storage, and retrieval of the data, making it easier to analyze and interpret the results. Additionally, employing proper data cleaning techniques and establishing a clear metadata structure can enhance the overall organization and accessibility of the study's raw data.
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Identify the terms, like terms, coefficients,
and constants in 5n - 2n – 3 + n.
Answer:
5n - 2n - 3 + n
3n - 3 + n
3n + n = 3
4n = 3
N= 4 ➗ 3
N = 1.33
Step-by-step explanation:
3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.
The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.
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Darryl can travel to the store on his skateboard three times faster than he can return carrying his package and skateboard. If the total trip takes 30 minutes, how many minutes does it take him to return from the store?
48Step-by-step explanation:
40 = 48 quarts
Question in photo. Please explain work, I don't know how to put it into an equation.
The water level in a reservoir is changing at a rate described by the equation 4x−3y=15, where x represents the time in years and y represents height in inches. What is the rate of change of water in the reservoir?
34 inch decrease per year
3 fourths inch decrease per year
34 inch increase per year
3 fourths inch increase per year
43 inch increase per year
4 thirds inch increase per year
43 inch decrease per year
Answer:
Step-by-step explanation:4/3 inch increase per year