As x gets larger and larger, the value of y approaches zero.
The graph of \(y = (1/2)^x\) does not have an x‑intercept.
The graph of \(y = (1/2)^x\) does not have a vertical asymptote because there isn't a vertical line that the graph above approaches.
What is an exponential function?In Mathematics, an exponential function can be represented by using the following mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents time.b represents the rate of change.Based on the information provided about this graph, an exponential function which it models is given by;
\(y = (1/2)^x\)
When x = 100, the value of y is given by;
\(y = (1/2)^{100}\)
For the x-intercept when y = 0, we have:
\(0 = (1/2)^x\)
By taking the ln of both sides, we have:
0 = 1 (false).
In conclusion, this exponential function \(y = (1/2)^x\) does not have a vertical asymptote because its denominator can never be equal to zero.
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a company sells its product for $55 per unit. Write an expression for the amount of money received from sale of x units of product
y=55x is the expression for the amount of money obtained from the sale of x units of product.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.
Here,
Let sale of x units of product.
y=55x
The expression for the amount of money received from sale of x units of product is y=55x.
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A police car is chasing a speeding car on a right-angled intersection such that former is approaching to the intersection, while the latter is moving away from it. At the point where the police car is at 80 mph and it is 44 yards from the intersection, the police radar detected that the distance between them is increasing at 45 mph, while the other car is 117 yards away from the intersection. What is the rate of the speeding car?
The rate of the speeding car is 0.493.
We have,
The police car is at 80 mph and it is 44 yards from the intersection, is increasing at 45 mph, while the other car is 117 yards away from the intersection.
So, Rate of speeding car
= (45- 80)/ (117- 44)
= -35/(-73)
= 35/73
= 0.493
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The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!
72 is what percent of 36
While riding her bike to the ocean and back home 7 times, Michelle timed herself at 54 min, 55 min. 50 min, 48 min, 42 min. 50 min, and 61 min. She had set a goal
of averaging 51 minutes for her rides. How many minutes will she need to spend on her eighth ride to attain her goal?
Answer:48 mins
Step-by-step explanation:
54+55+50+48+42+50+61=360
360 / 7=51
51 x 8=408
408-360=48
A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
Without graphing, tell if this pair is on the graph
5x-3y=14, (-1,-6)
How much of a radioactive kind of chromium
will be left after 3 months if you start with 64
grams and the half-life is 1 month?
help pls
The mass of chromium left after 3 months is 3.186g
Data;
Time = 3 months Initial mass = 64ghalf-life = 1 monthRadioactivityThis is used to calculate the disintegration rate of a radioactive substance and the formula is given as
\(N = N_oe^-^ \lambda ^t\)
Let's substitute the values and solve for the amount left after 3 months.
\(N = N_o e^-^ \lambda ^t\\N = 64 * e^-^(^3^*^1^)\\N = 64 * 0.049787\\N = 3.186g\)
The mass of chromium left after 3 months is 3.186g
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Answer:
answer is 8
Step-by-step explanation:
i did the ixl for exponential growth and decay - word problems
when Charles eats Oreos , he likes to dunk 2 out of every 5 cookies in a cold glass of milk. if he eats a total of 15 Oreos , how many will he dunk ? how many will ge eat without dunking?
Answer: 6 with milk, 9 without
Step-by-step explanation:
2/5 of the cookies he eats are dunked. Thus, simply do 2/5, or .4*15 to get that 6 cookies are dunked, and 15-6 to get that 9 cookies are not dunked.
Hope it helps <3
Allie and Roman are now trying to graph the red line shown here.
Allie entered this equation: y=-2
Roman entered this equation: x=-2
Who is right, and how do you know?
At Tim’s party 4 people are sharing 2/3 of a pizza. How much will each guest get
Answer:
Each person would get 1/6 of the pizza
Step-by-step explanation:
1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.
What is the Domain of f(x) = -x^3 + 6x^2 -10x + 4
We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.
To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.
Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.
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ICE TASK ONE (Total Marks: 35) Question 1 (Marks: 15) George is a new employee of the Durban branch of Print Pro. During the COVID pandemic, the company printed very few invoices, sending most invoices to customers in digital format. For stocktaking purposes, George has been given the task of determining the current value of the various printer cartridges still held by the company. The various types of cartridge, and their price at the time of purchase, is outlined in the figure below. In the Excel answer book for Question 1, create the following: 3 4 5 6 Lexmark B/W cartridge Lexmark colour cartridge Canon B/W cartridge Canon colour cartridge 7 8 9 10 11 12 13 14 A Item Epson B/W cartridge Epson colour cartridge 15 16 HP B/W cartridge HP colour cartridge B Purchase Price (Rands) 105 125 130 155 85 95 145 160 C Quantity 12 8 12 9 5 4 10 6 Overall Total Value = Inflation Adjustment= Overall Total Value (Including Inflation Adjustment) = Average Current Value Of Cartridges = D Total Value (Rands) Use Excel to answer the questions given below, placing functions/formulas in the indicated cells, where appropriate. Q.1.1 Determine the total value of each type of cartridge currently held in stock, by inserting an appropriate set of formulae into cells D2 - D9. (8) Q.1.2 Determine the overall total value of the various cartridges by inserting an appropriate formula in cell D10. (1) Q.1.3 George has been told that he should increase the overall total value of the cartridges by 10%, to reflect the effect of price inflation over the period of the pandemic. Determine what this inflation adjustment amount will be by inserting an appropriate formula into cell D12. (2) Q.1.4 Determine the overall total value of the cartridges, including the inflation adjustment amount, by inserting an appropriate formula into cell D14. (2) Q.1.5 Determine the average value of the cartridges, using the overall total value determined in cell D14, by inserting an appropriate formula in cell D16. (2)
To calculate the average value of the cartridges, divide the overall total value (cell D14) by the total number of cartridge types (which is 8).
D16: =D14 / 8
How to solveTo answer the questions, first create the table in Excel with the given values. Then, use the formulas mentioned below to answer each question.
Q.1.1: To determine the total value of each type of cartridge, multiply the purchase price by the quantity for each type of cartridge. Place these formulas in cells D2 - D9.
D2: =B2C2
D3: =B3C3
D4: =B4C4
D5: =B5C5
D6: =B6C6
D7: =B7C7
D8: =B8C8
D9: =B9C9
Q.1.2: Determine the overall total value of the various cartridges by summing the total values calculated in cells D2 - D9.
D10: =SUM(D2:D9)
Q.1.3: To calculate the inflation adjustment amount, multiply the overall total value (cell D10) by 10%.
D12: =D10 * 0.10
Q.1.4: Determine the overall total value of the cartridges, including the inflation adjustment amount, by adding the overall total value (cell D10) and the inflation adjustment amount (cell D12).
D14: =D10 + D12
Q.1.5: To calculate the average value of the cartridges, divide the overall total value (cell D14) by the total number of cartridge types (which is 8).
D16: =D14 / 8
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1. When Steve woke up. His temperature was 102 F. Two hours
later it was 3lower. What was his temperature then?
Answer:
The final temperature is the sum of the initial temperature and the change in temperature. The initial temperature is 102°F. The change in temperature is -3°F.
Operation:
102°F + (-3°F) = (102 - 3)°F = 99°F
Step-by-step explanation:
which line is parallel to y=1/2x+5?
Answer:
the first one (y = 1/2x - 7)
Step-by-step explanation:
If the lines are parallel, the slope has to be the same.
1.3 X 2.1 = Explain your answer.
2.73
1.3x2.1=2.73
1.3
x2.1
13
+26
2.73
Answer:
To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:
a × (b + c) = a × b + a × c
Using this property, we can break down 2.1 as the sum of 2 and 0.1:
1.3 × 2.1 = 1.3 × (2 + 0.1)
= 1.3 × 2 + 1.3 × 0.1
= 2.6 + 0.13
= 2.73
Therefore, 1.3 multiplied by 2.1 equals 2.73.
(-2) + (3-7)
(-1) * (-2)
EVALUATE THE EXPRESSION
Answer:
2x + -5+xy+23
Step-by-step explanation:
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. if the equation is incorrect give the correct slipe-intercept form explaining how you determined it
Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equation of the line is y = (3/2)x + 1.
To find the y-intercept of the line, substitute x = 0 into the given equation,
y = (3/2)(0) + 1
y = 1
Note that the y-intercept of the graph of the line is also 1.
The graph of the line passes through points (2,4).
To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:
4 = (3/2)(2) + 1
4 =4
The equation is true.
Hence, it can be said that the given equation represents the graph of the line.
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What common base can be used to rewrite each side of the equation 2^x+3-3=5
The common base that can be used to rewrite each side of the equation is 2.
How to find the common base used to rewrite each equation?The common base that can be used to rewrite each side of the equation is as follows:
2ˣ⁺³ - 3 = 5
add 3 to both sides
2ˣ⁺³ - 3 + 3 = 5 + 3
2ˣ⁺³ = 8
Hence,
2ˣ⁺³ = 2³
Therefore, the common base that can be used to rewrite each side of the equation is 2.
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!
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answer:
Cost of Washer = $696
Cost of Dryer = $232
Step-by-step explanation:
Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.
Put the equation together, so we can add the x variables together.
3x + x = 4x
The total cost will be what the '4x' is equal to.
4x = 928
Going back to algebra, we solve the equation by dividing both sides by 4.
x = 232
Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.
3x
3(232) = 696.
To check the answer, we can add them together to make sure we get the total cost.
696 + 232 = 928
Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.
Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.
Answer:
i don't really know but can you explain more so I can understand how to do it
7(1 - y) = -3(y - 2)
What is it?
Answer:
7-7y=-3y+6
7-6=7y-3y
1=4y
4y÷4=1÷4
y=1/4
Answer:
y = 1.3
Step-by-step explanation:
Y varies inversely as x and y =38 when x =26 find y when x =24
In summary in axis when x = 24, y = 41.1667.
Why is it?
If y varies inversely as x, then y = k/x for some constant k. To find k, we can use the initial values given:
y = k/x
38 = k/26
k = 38×26
k = 988
Now we can use k to find y when x = 24:
y = k/x
y = 988/24
y = 41.1667 (rounded to four decimal places)
Therefore, when x = 24, y = 41.1667.
In mathematics, an axis is a straight line that defines a reference direction for a coordinate system. It is used to locate or plot points, and describe geometric shapes in a plane or in space. In a two-dimensional coordinate system, there are two axes: the x-axis, which is horizontal, and the y-axis, which is vertical.
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Person 1 writes internal operating procedures 3 times faster than Person 2. Most of the procedures took 30 minutes each to create, but two of the procedures for Person 1 took an hour each. Calculate how long it took Person 1 to complete 9 procedures.5 hours and 30 minutes9 hours and 30 minutes4 hours and 30 minutes
Answer
5 hours and 30 minutes
Step-by-step explanation
Person 1 has to complete 9 procedures, 2 of them take 1 hour each (= 60 minutes) to be completed. Then, 7 of them (= 9 - 2) take 30 minutes each to be completed. In consequence, the amount of time needed by person 1 to complete 9 procedures is:
\(\begin{gathered} 2\times60+7\operatorname{\times}30= \\ =120+210= \\ =330\text{ minutes = 5 hours and 30 minutes} \end{gathered}\)
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.
To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.
The loan amount can be calculated by subtracting the down payment from the property value:
Loan amount = Property value - Down payment
= $170,000 - $20,000
= $150,000
Now we can calculate the LTV ratio:
LTV ratio = Loan amount / Property value * 100
= $150,000 / $170,000 * 100
= 88.24%
Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.
To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:
PMI payment = (Loan amount * PMI rate) / 12
= ($150,000 * 0.30%) / 12
= $450 / 12
= $37.50
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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.
Use the table to find her monthly PMI payment
Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.
30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%
15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.
A. $51.25
B. $37.50
C. $23.75
D. $42.50
M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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Line a: y=2x+4
Line b: y=2x-3
Slope of line a is _______ and slope of line b is __________. Therefore, the two lines are __________.
Answer:
two, two, parallel
Step-by-step explanation:
According to the equation, mx + b where m is the slope, we can conclude that the slopes of both equations are two. If two lines have equal slopes, then they are parallel. As both lines have equal slopes, they are parallel.
Answer:
2_2_linear equations
In a survey of 1000 voters, 680 said they would vote for the same candidate again. What percent of the voters WOULD NOT vote for the same candidate again?
Answer:32%
Step-by-step explanation:1000- 680=320
100-68=32
32%
Simplify \(\sqrt{16 - x^2}\) as much as possible after substituting 4 sin() for x. (Assume 0° < < 90°.)
According to trigonometric properties, the value of (16-x2) for x as 4sinx is 4cosx.
What is trigonometry?Trigonometry is a branch of mathematics concerned with angle relationships and length ratios. The field arose in the Hellenistic world during the third century BC from geometric applications to astronomical studies. Trigonometry is a branch of mathematics concerned with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are commonly used. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and abbreviations (csc).
Here,
=√(16-x²)
x=4sinx
=√(16-(4sinx)²)
=√(16-16sin²x)
=4√(1-sin²x)
=4cosx
The value of √(16-x²) for x as 4sinx is 4cosx by trigonometric properties.
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A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
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