Answer:
x = -3
Step-by-step explanation:
x + 10 + x + 4 = 8
2x + 14 = 8
2x = -6
x = -3
Check:
2x + 14 = 8
2(-3) + 14 =8
-6 + 14 = 8
8 = 8
Answer:
\(\sf x=-3\)Step-by-step explanation:
CD + DB = CB
CD = x +10
CB = 8
\(\sf (x+10)+(x+4)=8\)
\(\sf x+10+x+4=8\)
Combine like terms.
\(\sf x+x+10+4=8\)\(\sf 2x+14=8\)Subtract 14 from both sides.
\(\sf 2x+14-14=8-14\)\(\sf 2x=-6\)Divide both sides by 2.
\(\sf \cfrac{2x}{2}=\cfrac{-6}{2}\)\(\sf x=-3\)_______________________
-1 x f(-8) - 4 x g(4)
Answer:
=8fx−16gx
Step-by-step explanation:
word form 952.374 pls help
Answer:
WORD from the 2.O
Step-by-step explanation:
Find the slope of the line passing through the points (5, -8) and (3, -4).
Answer:
Slope = -2
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
-2
Step-by-step explanation:
f(x) = 4x^5 - x g(x) = x^3 – 2 (f / g)(x) =
The value of the function (f/g)(x) when f(x) = 4x^5 - x and g(x) = x^3 – 2 is
(f/g)(x) = (4x⁵- x)/(x³- 2)
Functions - It is defined as expressions, rules or laws that explains the relationship between two variables.
These variables are
Independent variableDependent variablesIt is important to note that composite functions are determined when the output of a given function is used as the input of another or different variable.
Given the functions;
f(x) = 4x^5 - x
and
g(x) = x^3 – 2
(f/g)(x) = f (x) / g(x)
(4x⁵- x)/(x³- 2)
The value of the function (f/g)(x) when f(x) = 4x^5 - x and g(x) = x^3 – 2 is
(f/g)(x) = (4x⁵- x)/(x³- 2)
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Which of the following is NOT a valid construct as part of an activity diagram?
a. Activity oval
b. Actor name
c. Use case oval
d. Relationship line
The correct answer is c. Use case oval. Use case ovals are part of use case diagrams, not activity diagrams. Activity diagrams primarily consist of activity ovals, actor names, and relationship lines.
The activity diagram is a type of UML diagram that is widely used to visualize the flow of activities and actions in a system. It is an important tool for modeling the behavior of a system and its components. The activity diagram consists of various constructs that are used to represent the different elements of a system. These constructs include activity ovals, actor names, use case ovals, and relationship lines.
A relationship line is used in other types of UML diagrams, such as class diagrams or sequence diagrams, to represent the relationships between objects or classes.
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Find the measures of
Answer:
Step-by-step explanation:
Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.
From the picture attached,
m(∠A) = \(\frac{1}{2}m(\text{arc BD})\)
= \(\frac{1}{2}[m(\text{BC})+m(\text{CD}]\)
= \(\frac{1}{2}[55^{\circ}+145^{\circ}]\)
= 100°
m(∠C) = \(\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})]\)
= \(\frac{1}{2}(360^{\circ}-200^{\circ})\)
= 80°
m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]
115° + m(∠D) = 180°
m(∠D) = 65°
m(arc AC) = 2[m(∠D)]
m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]
m(arc AB) + 55° = 130°
m(arc AB) = 75°
m(arc ADC) = 2(m∠B)
m(arc AD) + m(arc DC) = 2(115°)
m(arc AD) + 145° = 230°
m(arc AD) = 85°
-x/5-8=12
Show work
And check
Answer:
\(\huge\boxed{\sf x = -100}\)
Step-by-step explanation:
Given equation:\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)
Help please
Brainliest if correct
Thanks!
Stay Safe
Answer:
1 goes to irrational, 2 goes to repeating decimal, 3 goes to terminating decimal, and 4 goes to rational.
Step-by-step explanation:
good luck :)
What is the measure of ABC?
A. 44
Step-by-step explanation:
An inscribed angle measures the middle of this arc.
the variance inflation factor (vif) is another measure that can detect a high correlation between three or more predictor variables even if no pair of predictor variables has a particularly high correlation. what is the smallest possible value of vif? (absence of multicollinearity).
Variance inflation factor can have a value as low as one (absence of multicollinearity). A VIF number greater than 5 or 10 generally denotes collinearity that is problematic.
The variance of bj is not inflated at all if the VIF is 1, which indicates that there is no association between the jth predictor and the other predictor variables.
VIF equal to 1 signifies that there is no correlation between the variables. A VIF of 1 to 5 indicates a moderate correlation between the variables. Variables are highly linked when the VIF is greater than correlated2.
VIF = 1.0 if all independent variables are orthogonal to one another. VIF = infinity if there is perfect correlation.
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a student has some $1 and $5 bills in his wallet he has a total of 12 bills that are worth $32 how many of each bill does he have
Assume a professor gives a 5-question multiple choice quiz where each question has four possible answers (a,b,c,d). How many students must take the quiz to assure that at least two have exactly the same answers to all five questions
At least 11 students must take the quiz to assure that at least two have exactly the same answers to all five questions.
How to find the students who must take the quiz?Determining the minimum number of students required to guarantee that at least two students have the same answers to all five questions on a multiple choice quiz. Under the area of probability and combinatorics.
There are 4 possible answers for each of the 5 questions, so there are a total of \(4^5 = 1024\) possible sets of answers.
Let's consider the opposite scenario where no two students have exactly the same answers to all five questions. In this case, the first student can choose any of the 1024 possible sets of answers. The second student must choose a different set of answers from the first student, so there are 1023 possible sets of answers for the second student. Similarly, the third student must choose a different set of answers from the first two students, so there are 1022 possible sets of answers for the third student. Continuing in this way, the nth student has 1025-n possible sets of answers to choose from.
Therefore, the total number of possible sets of answers for n students is the product of the number of possible sets of answers for each student:
1024 × 1023 × 1022 × ... × (1025-n)
We want to find the minimum value of n such that this product is less than 1024, because that is the maximum number of sets of answers possible. That is, we want to solve the inequality:
1024 × 1023 × 1022 × ... × (1025-n) < 1024
To simplify this expression, notice that each term in the product is very close to 1024, which suggests that we can approximate the product as \(1024^n\). This approximation is valid when n is much smaller than 1024, which is the case here.
Using this approximation, we can rewrite the inequality as:
\(1024^n\)< 1024
Taking the logarithm base 2 of both sides, we get:
n < log2(1024) = 10
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Which statement correctly identifies the transformations that map △ABC to △DEF?
Translate △ABC to the left 10 units and down 10 units.
Translate △ABC to the right 10 units and down 10 units.
Translate △ABC to the left 10 units and up 10 units.
Translate △ABC to the right 10 units and up 10 units.
Answer:
Translate Aabc to the left 10 units and down 10 units.
Step-by-step explanation:
you pick a single point on the triangle that is being transformed (in this cause I chose .B)
you count the difference between the points on the x-axis (10)
then do the same on the x-axis (also 10)
Assume that the supply of corn is relatively price inelastic, while the demand for corn is relatively price elastic. If the government imposes a per-unit excise tax on the production of corn, the incidence or burden of the tax will fall 1. entirely on sellers 2. equally on both buyers and sellers 3. more on buyers than on sellers 4. entirely on buyers 5. more on sellers than on buyers The absolute value of the price elasticity of demand for a good increases when 1. the good has fewer substitutes 2. the price of an input used to produce 3. the good increases the good becomes a necessity 4. consumers spend a greater portion of their budget on the good 5. the good must be purchased as soon as the need arises (not possible to wait)
If the supply of corn is relatively price inelastic, it means that even if the price of corn changes, the quantity supplied by sellers will not change significantly. On the other hand, the demand for corn is relatively price elastic, which means that if the price of corn changes, the quantity demanded by buyers will change significantly.
Now, if the government imposes a per-unit excise tax on the production of corn, the price of corn will increase. Since the demand for corn is price elastic, buyers will reduce their purchases of corn in response to the price increase. As a result, the burden or incidence of the tax will fall more on buyers than on sellers. Therefore, the correct answer is 3 - more on buyers than on sellers.
Regarding the second question, the absolute value of the price elasticity of demand for a good increase when consumers spend a greater portion of their budget on the good. This is because as consumers spend more of their budget on a good, they become more sensitive to changes in the price of the good. They will be more likely to reduce their purchases of the good if its price increases. Therefore, the correct answer is 4 - consumers spend a greater portion of their budget on the good.
.First, let's address the part about the tax incidence on corn:
Given that the supply of corn is relatively price inelastic and the demand for corn is relatively price elastic, when the government imposes a per-unit excise tax on the production of corn, the incidence or burden of the tax will fall:
5. more on sellers than on buyers
This is because price inelastic supply means that sellers are less responsive to price changes, while price elastic demand means that buyers are more responsive to price changes. As a result, sellers will bear a greater portion of the tax burden.
Now let's discuss the factors that affect the absolute value of the price elasticity of demand for a good:
The absolute value of the price elasticity of demand for a good increase when:
4. consumers spend a greater portion of their budget on the good
When consumers spend a greater portion of their budget on a good, they become more sensitive to price changes, resulting in a higher price elasticity of demand.
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If tanx=3, find secx
(Solve for values of x between 0 and 2pi radians)
Answer:
sec(x) = sqrt(10)
Step-by-step explanation:
We know that tan(x) = 3.
Using the identity tan^2(x) + 1 = sec^2(x), we can solve for sec(x).
First, let's square both sides of the equation tan(x) = 3:
tan^2(x) = 3^2
tan^2(x) = 9
Next, we can substitute this expression for tan^2(x) into the identity:
tan^2(x) + 1 = sec^2(x)
9 + 1 = sec^2(x)
10 = sec^2(x)
Finally, we can take the square root of both sides to solve for sec(x):
sqrt(10) = sec(x)
Therefore, sec(x) = sqrt(10).
Fareeda is researching a paper for her astronomy class and has identified a book of star charts that she feels would be a useful resource. Unfortunately, neither the school nor the local city library has it in their collections, and it would be expensive to purchase. However, there is a copy of the book at another school's library, about 150 miles away. What would be the BEST way for Fareeda to obtain the book for her research
Step-by-step explanation:
I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book
Or
Fareeda can simply check if the second library has a distant library services so that the book can be either
1. Sent to her home or placement address, or
2.Scans of book chapters and articles be emailed to her.
What is the value of 5a + 7b if a = 4 and b = 3
Answer:
= 41
Step-by-step explanation:
plug in the numbers for the variables
5(4) + 7(3)
multiply
20 + 21
add together
= 41
Answer:
127≠4
False
Step-by-step explanation:
what is the surface area of this solid?
A: 37.68
B: 40.82
C: 28.26
D: 31.4
The surface area of the given shape above would be = 47.2
How to calculate the surface area of the given solid shape?To determine the surface area of the solid shape above,the surface area of a cone and a cylinder is first determined and then added together.
The formula for the surface area (SA) of cone = πrs + πr²
where;
r = 1
s = 6
S.A = 3.14×1×6 + 3.14×1×1²
= 18.84+3.14
= 21.98
Formula for Surface area of cylinder = 2πr(r+h)
where;
r = 1
h = 3
SA = 2×3.14×1 (1+3)
= 25.12
Therefore, the surface area of the solid shape = 21.98+25.22 = 47.2
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Suppose it takes 4 hours for a certain strain of bacteria to reproduce by dividing in half. If 45 bacteria are present o begin with the total number present after a days is f(x) = 45 - 64* Find the total number present after 1, 2 and 3 days. There will be bacteria present after 1 day, after 2 days and after 3 days.
A certain bacteria strain needs 4 hours to double its population. If in the beginning there are 45 bacteria, after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.
The problem can be solved using the exponential growth model.
In the given problem, the formula for the growth model is given, that is:
f(x) = 45 (64)^(x)
Where:
f(x) = total number of bacteria present after x days
To find f(x) for 1 day, 2 days, and 3 says, substitute x = 1, x = 2, and x = 3 into the formula.
f(1) = 45 (64)¹ = 2,880
f(2) = 45 (64)² = 184,320
f(3) = 45 (64)³ = 11,796,480
Hence,
after 1 day, the number of bacteria present is 2,880, after 2 days, the number of bacteria is 184,320, after 3 days, the number of bacteria is 11,796,480.
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x is an integer Write down all the solutions of inequality 3<2x +1 < 13
Answer:
1<x<6
Step-by-step explanation:
subtract 1 from every side: 2<2x<12
divide 2 every side: 1<x<6
Answer:1
Step-by-step explanation:
PLEASE HELP ASAP
Ebony has her bank account opened for 1 week and the graph shows the entire week. During that time, her greatest balance was $300.
a) Give the domain of the function.
b) Give the range of the function.
Using it's concepts, the domain and the range of the function are given as follows:
a) Domain: [0, 7].
b) Range: [0, 300].
What are the domain and the range of the function?The domain of a function is composed by the set of all possible input values of the function. Hence, on the graph, the domain is composed by the values of x.
In the context of this problem, the input of the function is the number of days. A week has 7 days, hence the domain of the function is given by:
[0, 7].
The range of a function is composed by the set of all possible output values of the function. Hence, on the graph, the range is composed by the values of y.
In the context of this problem, the output of the function is the balance of the bank account after each day. Supposing that the smallest balance of the account is of $0, and considering the greatest balance of $300 stated in the problem, the range of the function is given by:
[0, 300].
What is the missing information?The graph of the function is incomplete, hence we suppose that the minimum balance is of $0.
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F(x) = 18x + 13, find F(4)
Answer:
f(4) = 85.
Step-by-step explanation:
When you substitute the 4 into the x and solve for f(4), all that means is that every x in the equation becomes 4. There's only one on the right side: the 18x. This becomes 18*4, or 72, which is then added to 13, to get 85.
Answer:
F(4) = 85
Step-by-step explanation:
F(x) = 18x + 13
F(4) = 18(4) + 13
F(4) = 72 + 13
F(4) = 85
true or false? if false, give a reason.the nth partial sum of an arithmetic sequence is the average of the first and last terms times n.
The given statement "The nth partial sum of an arithmetic sequence is the average of the first and last terms times n." is False.
The nth partial sum of an arithmetic sequence is not the average of the first and last terms times n. The correct formula for the nth partial sum of an arithmetic sequence is given by:
Sn = (n/2)(a₁ + aₙ),
where Sₙ is the sum of the first n terms, a₁ is the first term, and an is the nth term of the arithmetic sequence.
The formula you mentioned would only hold true if the arithmetic sequence had the same common difference throughout. In that case, the average of the first and last terms would be equal to the common difference, and multiplying it by n would give the correct sum. However, this formula does not hold for arbitrary arithmetic sequences with varying common differences.
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22 + 63 is the same as 20 +
Answer:
22 + 63 = 20 + 65
Step-by-step explanation:
Hope this helps!
Answer:
22 + 63 is the same as 20 + 65
Step-by-step explanation:
Hope this helped!
What is the area of parallelogram ABCD?
A. 12 units²
B. 30 units²
C. 24 units²
D. 55 units²
Answer:
C, 24 units^2
Step-by-step explanation:
The formula for area of a parallelogram is base times height.
The height of the parallelogram is 4 units
The base of the parallelogram is 6 units
4 times 6 is 24
Hope this helps:)
Answer:
C. 24 units²
Step-by-step explanation:
To calculate the area of a parallelogram we use the following formula:
A = B*h (B: base, h: height)
The base of the parallelogram is 6 units and the height is 4 units
4*6 = 24 units but, the area is presented in square units so the answer is 24 units²
Bella is playing a math game. She chooses three cards. The value of each of her cards is shown.
*First Card: -12
*Second Card: 3
*Third Card: -5
What is the product of the values of Bella’s three cards?
Given the linear function f(x) = -4x+8, what is the value of x if f(x) = 24?
Answer:
\(f(x) = - 4x + 8 = 24 \\ \\ = > - 4x + 8 = 24 \\ \\ => - 4x = 24 - 8 = 16 \\ = > - 4x = 16 \\ = > x = \frac{ - 16}{4} = - 4 \\ \\ \)Step-by-step explanation:
Sᴏ ᴛʜᴇ value of x= -4
x = -4
Step-by-step explanation:
Solution:-
\({ \blue{ \sf{f(x) = - 4x + 8}}}\)
In order to find the value of x, put 24 in the place of f(x) (given) then,
\({ \blue{ \sf{24 = - 4x + 8}}}\)
\({ \blue{ \sf{24 - 8 = - 4x}}}\)
\({ \blue{ \sf{16 = - 4x}}}\)
We should find the value of x. So divide bith the sides by -4. then,
\({ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}\)
\({ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}\)
ratio analysis can be made more meaningful in all the following ways except by?
Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.
Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.
In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.
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The full question:
ratio analysis can be made more meaningful in all the following ways except by?
i have 100 apples i eat 52.5,how many i have
Answer:
47.5
Step-by-step explanation:
Chandler's house is due west of Springtown and due south of Livingston. Springtown is 6 miles from Chandler's house and 10 miles from Livingston. How far is Livingston from Chandler's house, measured in a straight line
Livingston is approximately 8.2 miles away from Chandler's house, measured in a straight line.
To find the distance between Livingston and Chandler's house, we can use the Pythagorean theorem because we have a right triangle formed by Springtown, Chandler's house, and Livingston.
Let's assign variables to the distances:
Let x be the distance from Livingston to Chandler's house (in miles).
Let y be the distance from Springtown to Chandler's house (in miles).
Given information:
Springtown is 6 miles away from Chandler's house (y = 6).
Livingston is 10 miles away from Springtown.
Using the Pythagorean theorem:
According to the theorem, the square of the hypotenuse (the distance between Livingston and Chandler's house) is equal to the sum of the squares of the other two sides.
Applying the theorem, we have:
x² = y² + (10)²
x² = 6² + 10²
x² = 36 + 100
x² = 136
Taking the square root of both sides:
x = √136
x ≈ 11.66
Therefore, Livingston is approximately 8.2 miles away from Chandler's house, measured in a straight line.
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