The graph of the exponential function given below is linear. Option D is corect.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx + c.
If the value of intercept,c=0 the equation is found as;
y=mx
A pair of equations is shown below:
Given function;
f(x) = 4.5x
The given function shows a straight line with intercept zero and the slope is 4.5. Therefore the graph of the exponential function given below is linear.
Hence, option D is corect.
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what is the value of x in the equation 3^(2x-1)=27?
Answer:
x=2
Explanation:
Given the equation:
\(3^{2x-1}=27\)To solve for x, begin by writing 27 as a power of 3.
\(3^{2x-1}=3^3\)Next, since both sides of the equation have the same base, 3, it follows from the law of indices that:
\(\begin{gathered} a^x=a^y\implies x=y \\ \text{Therefore:} \\ 3^{2x-1}=3^3\implies2x-1=3 \end{gathered}\)We then solve the resulting equation for x.
\(\begin{gathered} 2x-1=3 \\ \text{Add 1 to both sides} \\ 2x-1+1=3+1 \\ 2x=4 \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\frac{4}{2} \\ x=2 \end{gathered}\)The value of x in the equation is 2.
Is (1, –4) a solution to the equation y = –2x?
No
Check
-4 = -2(1)
L.H.S
= -2(1)
= -2
is not = R.H.S.
Answer:
no it can’t be the solution
Step-by-step explanation:
y=–2x
–4=–2(1)
–4=–2 (error)
expand this expression 3m(2m+n-5)
Answer:
6m^2 + 3mn - 15m.
Step-by-step explanation:
3m(2m + n - 5)
= (3m * 2m) + (3m * n) - (3m * 5)
= 6m^2 + 3mn - 15m.
Hope this helps!
Answer:
\(6m^2+3mn-15m\)
Step-by-step explanation:
\(3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m\)
a man finds 1 hundred dollars and he keeps one half of it, gives 1 fourth if it to someone and and gives another 1 fifth of it to some else and he puts the rest in savings. how much did he give everyone
What is the area of a triangle whose vertices are r(3, 4), s(6, 2), and t(7, 10)?.
The area of a triangle whose vertices are r(3, 4), s(6, 2), and t(7, 10) is calculated to be 9.5 units²
Given that,
Vertices are r(3, 4), s(6, 2), and t(7, 10) which means ,
(x₁,y₁) = (3,4)
(x₂,y₂) = (6,2)
(x₃,y₃) = (7,10)
From formula,
The triangle area
A= 1/2 (|x₁(y₂ -y₃) + x₂(y₂ - y₁) + x₃(y₁ -y₂))
A=1/2(3(2 - 10) + 6(2-4) + 7(4-2))
A = 1/2 (3* -7 + 6* -2 +7* 2 )
A = 1/2 |(-21-12+14)|
A = 1/2 (19)
A = 9.5 units²
area of triangle is 9.5 units² with the given vertices.
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Identify the slope and y-intercept of the line. y = 4x − 11
slope=
y-intercept (x, y) =
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 4x − 11
Comparing with the general equation above
Slope = 4y - intercept = - 11 or ( 0 , - 11)Hope this helps you
help me help me help me help me
Answer:
1. 4/12, 3/9, 2/6, 5/15
2. 4/8, 8/16, 6/12
3. 2/8, 4/16, 3/12
4. 6/8, 9/12, 4/16
Step-by-step explanation:
I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.
1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.
To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.
Step 1: reduce answer choices
6/16 = 3/8 (done by dividing both terms by 2)
4/10 = 2/5 (divide both by 2)
3/8 = 3/8 (fully reduced)
2/5 = 2/5 (fully reduced)
4/12 = 1/3 (divide both by 4)
5/10 = 1/2 (divide both by 5)
1/2 = 1/2 (fully reduced)
3/9 = 1/3 (divide both by 3)
2/6 = 1/3 (divide both by 2)
5/15 = 1/3 (divide both by 5)
3/8 = 3/8 (fully reduced)
3/4 = 3/4 (fully reduced)
2. This question is solved the same way as question 1.
Step 1: reduce answer choices
2/5 = 2/5
6/9 = 2/3
4/8 = 1/2
3/9 = 1/3
8/16 = 1/2
8/10 = 4/5
7/12 = 7/12
6/12 = 1/2
3. This question is solved the same way as questions 1 and 2.
Step 1: reduce answer choices
3/8 = 3/8
2/8 = 1/4
4/9 = 4/9
2/7 = 2/7
4/16 = 1/4
10/14 = 5/7
6/9 = 2/3
3/12 = 1/4
4. This question is solved the same way as questions 1, 2, and 3.
Step 1: reduce answer choices
6/8 = 3/4
4/9 = 4/9
4/6 = 2/3
9/12 = 3/4
10/12 = 5/6
6/9 = 2/3
12/16 = 3/4
7/9 =7/9
What is the y intercept of the following equation -y+x=0
Answer:
0
Step-by-step explanation:
Answer:
y-intercept is 0
Step-by-step explanation:
because well you first have to put it in y=mx+b form, after you do that you have -y=0-x and you can't have a -y so you divide by -1 for 0 and -x 0/-1=0 and -x/-1=1 hope that helps
The second coefficient of the Virial equation of state is a function of temperature and pressure. True False Question 12 [∂ni∂(nA)]nV,T,nj is equal to chemical potential. True False
The statement "The second coefficient of the Virial equation of state is a function of temperature and pressure" is true.
The second coefficient, B(T), of the Virial equation of state is a function of temperature and pressure.
It describes the intermolecular attractive forces between the molecules of a gas, which become more significant at lower temperatures and higher pressures. Hence, it changes with temperature and pressure.
The statement "[∂ni∂(nA)]nV,T,nj is equal to chemical potential" is false. The correct relation is:
[∂(G/n) / ∂ni]T,P,nj = μi
Where G is the Gibbs free energy of the system, n is the total number of moles, μi is the chemical potential of the i-th component, and ni is the number of moles of the i-th component.
In conclusion, the second coefficient of the Virial equation of state changes with temperature and pressure, while the partial derivative of Gibbs free energy with respect to number of moles is equal to chemical potential.
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A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary.
round your answer to the nearest percent.
Answer:
A) 60%
Step-by-step explanation:
24/40
= 0.6
0.6*100
= 60%
I really hope this is right and it helps.
Compare the triangles and determine whether they can be proven congruent by SSS, SAS, ASA, AAS, or HL. If not, type "NONE".
Answer:
it's AAS
Step-by-step explanation:
safhqs3
pleaseweeee helppppp
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answer:
A
\(2y {}^{4} \div x {}^{4} \)
Step-by-step explanation:
Divide 14 by 7 it will be 2.
Now divide the variables.
X variable will give you X{}^{-4} and y{}^{4}.
So bring X variable in the denominator to make it positive.
So your answer will be option A.
Answer:
A
Step-by-step explanation:
It was right for me
2. the butler and the cook have decided to murder their employer. they draw straws to determine which one of them must carry out the dirty deed (so each has the same chance). the butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives. whoever is chosen to be the murderer will select one of their weapons randomly. a. what is the probability that the murder was committed with a knife? b. given that the murder was committed with a knife, what's the probability that the cook did it?
a) The probability that the murder was committed with a knife: 0.55
b) The probability that the cook did it, given that the murder was committed with a knife: 0.275
To determine the probability that the murder was committed with a knife, we first need to find the total number of weapons.
The butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives.
So, the total knives: 4 + 7 = 11
crowbars: 2
poison tipped pens: 4
and rolling pins: 3
So, the total number of weapons: 11 + 2 + 4+ 3 = 20
The probability that the murder was committed with a knife:
p = 11/20
p = 0.55
Now we need to find the probability that the cook did it, given that the murder was committed with a knife.
P = 0.55 × 0.5
P = 0.275
The required probability is 0.275
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Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 3X₁ +5X₂ +7X3 1X₁ +7X₂ + 4X3 ≤ 100 2X1 + 1X₂ + 7X3 ≤ 110 8X₁ + 4X₂ + 1X3 ≤ 100 X₁, X2, X3 20 (C₁: hours on machine 1) (C₂: hours on machine 2) (C3: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: (round your response to two decimal places). X₁² = X₂ = (round your response to two decimal places). = X3² (round your response to two decimal places). Contribution (objective value) = (round your response to two decimal places). b) Machine 1 has Machine 2 has Machine 3 has hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). dollars to the firm (round your response to two decimal places). c) An additional hour of time available for third machine, is worth d) An additional 5 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars (round your response to two decimal places).
a) Contribution (objective value) = $132.14
b) The firm earns $132.14 at the optimal solution.
c) An additional hour of time available for the third machine is worth $0.14 to the firm.
d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.
The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71
b) The number of unused hours at the ideal solution is:
Machine 1 still has 8.57 hours of time left.
There are no hours left on Machine 2 at the moment.
There are still 94.29 hours left on Machine 3.
c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is
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What is the sum of the polynomials?
(-x² + 9) + (-3x² - 11x + 4)
O-4x² - 2x + 4
-4x²-11x + 13
O 2x² + 20x +4
O 2x² + 11x + 5
Answer:
\( - 4 {x}^{2} - 11x + 13\)
Step-by-step explanation:
\(( - {x}^{2} + 9) + ( - 3 {x}^{2} - 11x + 4)\)
\( - {x}^{2} + 9 - 3 {x}^{2} - 11x + 4\)
\( - 4 {x}^{2} - 11x + 13\)
The sum of the polynomials is,
⇒ - 4x² - 11x + 13
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The expression is,
⇒ (-x² + 9) + (-3x² - 11x + 4)
Now, We can add the polynomials as;
⇒ (-x² + 9) + (-3x² - 11x + 4)
⇒ -x² + 9 -3x² - 11x + 4
⇒ - 4x² - 11x + 13
Thus, The sum of the polynomials is,
⇒ - 4x² - 11x + 13
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Select the equation of the line, in standard form, that passes through (4,2) and is parallel to the line shown on the coordinate grid to the right
The equation of the line that passes through (4,2) and is parallel to the line shown is 3x + y = -10
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Two lines are said to be parallel if they have the same slope.
The line shown passes through point (0, 1) and (-1, -2). Hence:
Slope = (-2 - 1) / (-1 - 0) = 3
The line parallel will also have a slope of 3. It then passes through (4, 2). Hence:
y - y₁ = m(x - x₁)
y - 2 = 3(x - 4)
y = -3x - 10
3x + y = -10
The equation of the line is 3x + y = -10
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help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER
m + 3n = 7 solve for m
Answer:
m = 7 - 3n
Step-by-step explanation:
m + 3n = 7
subtract 3n from both sides
m + 3n = 7
- 3n -3n
m = 7 - 3n
The required value of m is 7-3n.
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 the given equation is,
m + 3n = 7
To solve for m let us separate m from one side and other values to other side then we will get the required value of m.Therefore we have,
m + 3n = 7
now subtract 3n from both the side,
m + 3n -3n = 7 - 3n
Now since 3n -3n = 0
Therefore,the equation becomes,
m + 0 = 7 - 3n
or, we can write
m = 7 - 3n
which is the required value of m.
Hence,The required value of m is 7-3n.
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a student records the repair cost for 1717 randomly selected tvs. a sample mean of $73.10$73.10 and standard deviation of $16.01$16.01 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the tvs. assume the population is approximately normal.
Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).
What do you mean by the term Repair cost?Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.
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Three equivalent ratios to 1:3 are...
Group of answer choices
6:2, 15:5, 30:10
2:3, 5:15, 10:30
2:6, 5:15, 10:30
5:15, 10:30, 11: 22
Hurry please! Thanks.
Answer:
5,15. 10,30. 2,6.
Step-by-step explanation:
multiply n stuff divide..
2:6 5:15 10:30 because 1 times 2 is 2 and 3 times 2 is 6. 1 times 5 is 5 while 3 times 5 is 15. Finally 1 times 10 is 10 while 3 times 10 is 30.
A recipe needs cup of butter for every 2 cups of flour. if you plan to use 3 cups of flour, how much butter will you need?
You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.
To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour. Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe. To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.
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How do you this problem it's domain and range
Domain would be the farthest x value to left and the farthest x value to right
Range would be lowest y value to highest y value
find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
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What does it mean when you write your measurement as the mean ± standard deviation? (i.e., how much of the data fall within this range?)
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
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HELP ASAP
A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?
9/7
7/9
31.5/7
7/31.5
The Scale factor was used to enlarge the picture is 7/ 31.5.
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
A picture is 7 inches wide and 9 inches long.
A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.
So, scale factor is
= Original dimension / Enlarged dimension
= 9/ 40.5
= 90/ 405
= 10/45
= 2/9
Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.
= 7/ 3.15
= 70/31.5
= 2/9
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Plzzz help meeeeeplzzz
Answer:
1 1 0 0 1 1 (base 2)
Step-by-step explanation:
Do it as a common sum operation, remember that when you have 2 or more you need to carry over.
State if the two triangles are congruent. If they are state how you know.
As their corresponding angles and sides are not in the correct order of sequence they are not congruent.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
Given, In triangle one It is the side, angle, side as angles or sides should be in every sequence.
In triangle two it is the angle, side, side.
As their corresponding angles and sides are not in the correct sequence of sequence they are not congruent.
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Can a triangle can have sides with lengths 2.7, 3.5, and 9.8.
Answer: No
Step-by-step explanation:
2.7 + 3.5 is not greater than 9.8.
Answer:
no It cant
Step-by-step explanation:
2.7 + 3.5 is not greater than 9.8.
is root 2 /1 is a rational number?
Answer:
yes
Step-by-step explanation:
Fiona and Diana are sisters. They each baked cookies. Fiona baked 15 more cookies than Diana. They baked a total of 75 cookies. How many cookies did each girl bake?
Answer: Fiona baked 45 cookies and Diana baked 30 cookies.
45 + 30 = 75 total cookies baked.