What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2
Answer:
The graph is shifted left 6 units
Step-by-step explanation:
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The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer
A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x , where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?
Final answer:
To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.
Explanation:
To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.
Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:
Write down the equation substituting x with 2: y = 55 × 2^2.Calculate the exponent: 2^2 = 4.Multiply the base population by 4: 55 × 4 = 220.Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.
What is the set of all possible outcomes of a probability experiment?
The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.
Explanation:The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.
For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.
In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.
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If you were offered a job would you choose the one with the pay increase according to an arithmetic sequence formula or a geometric sequence formula? Justify your response.
Final answer:
For maximizing earning potential over time, a geometric sequence salary increase is typically more beneficial due to exponential growth, while an arithmetic sequence offers steady, predictable increases that may appeal to those who value consistency.
Explanation:
If offered a job with a salary increase tied to either an arithmetic sequence or a geometric sequence, the preferable option typically depends on the long-term financial goals and growth potential you are looking for. An arithmetic sequence will give you steady, predictable increases. However, a geometric sequence formula will often result in larger increases over time, especially if the ratio is 2 or more. Due to the exponential nature of a geometric sequence, your salary could grow significantly faster than with an arithmetic sequence. For example, if you start with a salary of $50,000, and the arithmetic sequence increase is $1,000 each year, after five years you would be earning $55,000. On the other hand, for a geometric sequence with a modest ratio of 1.05 (5% increase each year), you would start at the same $50,000 but after five years be earning approximately $63,814.
Considering this, if your primary goal is to maximize earning potential over time, the geometric sequence would be the more appealing option. However, if you value consistency and predictability in pay increases, or if the progression starts very low, an arithmetic sequence might be more in line with your personal financial planning.
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what type of solutions do the methods for solving systems of equations find and how does this relate to setting the equations equal to each other
Final answer:
Explanation of solutions for systems of equations and how setting equations equal to each other helps find solutions.
Explanation:
Solutions for systems of equations can be classified as unique, no solution, or infinitely many solutions. The method of setting equations equal to each other typically helps find the intersection points where the equations are simultaneously true, representing the solution to the system.
the area of a trapezoid is 72.8 square feet. the length of one of its bases is 7.4 feet and the length of its other base is 10.8 feet. what is the height of the trapezoid?
Select all of the following that are quadratic equations.
7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7
The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume of 105 cm 3 is 30º C. What will be the temperature of the gas when it is compressed to a volume of 84 cm 3? 18.8º C 48º C 24º C 37.5º C
Final answer:
The temperature of a gas can be calculated using the formula for inverse variation, which is T1*V1 = T2*V2. By substituting the given values into the formula, we can find that the temperature of the gas when it is compressed to a volume of 84 cm^3 is 37.5ºC.
Explanation:
To solve this problem, we can use the formula for inverse variation:
T1*V1 = T2*V2
Given that T1 = 30ºC, V1 = 105 cm^3, and V2 = 84 cm^3, we can solve for T2:
T2 = (T1*V1)/V2 = (30*105)/84 = 37.5ºC
Therefore, the temperature of the gas when it is compressed to a volume of 84 cm^3 will be 37.5ºC.
On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.
A total of people visited the natural history museum Friday night.
The answer is 750 people visited the natural history musem Friday night.
The price of a gallon of unleaded gas has dropped to $2.81 today. yesterday's price was $2.88 . find the percentage decrease. round your answer to the nearest tenth of a percent.
The percentage decrease is approximately -2.4%.
To find the percentage decrease in price, we can use the formula:
Percentage decrease = ((New price - Old price) / Old price) * 100
Using the given information, we substitute the values into the formula:
Percentage decrease = ((2.81 - 2.88) / 2.88) * 100
Simplifying the expression, we get:
Percentage decrease = (-0.07 / 2.88) * 100
Converting to a decimal and multiplying by 100, we find:
Percentage decrease = -0.0243 * 100 = -2.43%
Rounding to the nearest tenth of a percent, the percentage decrease is approximately -2.4%.
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Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)
look at the picture below // 99 points // PLEASEE HELPP
Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?
It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!
If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.70 mg.
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it's my first college chm and I forgot how to do such word problems, would you help me please, thank you
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.
Answer:
[tex]m<C=62\°[/tex]
Step-by-step explanation:
we know that
In an inscribed quadrilateral opposite angles are supplementary
so
In this problem
[tex]m<D+m<B=180\°[/tex]
[tex]m<C+m<A=180\°[/tex]
step 1
Find the value of x
[tex]m<D+m<B=180\°[/tex]
substitute the values and solve for x
[tex](x+20)\°+(3x)\°=180\°[/tex]
[tex]4x=180\°-20\°[/tex]
[tex]x=160\°/4=40\°[/tex]
step 2
Find the measure of angle A
[tex]m<A=(2x+38)\°=2(40\°)+38\°=118\°[/tex]
step 3
Find the measure of angle C
[tex]m<C+m<A=180\°[/tex]
substitute the values and solve for m<C
[tex]m<C+118\°=180\°[/tex]
[tex]m<C=180\°-118\°=62\°[/tex]
Answer for function
What is 38.224 rounded to the nearest whole number?
What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?
Mrs. Pine took tennis lessons. She traveled 15 miles one way at an average cost of $0.45 per mile. Her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. She paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. Including the cost of round-trip travel for all 10 lessons, what did this cost?
A. $474.03
B. $486.53
C. $595.53
D. $608.03
Answer:
$595.53
Step-by-step explanation:
o-ware
The tables below show two functions. For each set of data:
a) Determine whether the data represents a linear function, exponential function or neither and explain why.
x f(x)
-2 18
-1 22
0 26
1 30
2 34
x g(x)
-2 2
-1 4
0 8
1 16
2 32
Rubric:
Points Concept Addressed
/2 Correctly determines whether each table represents linear, exponential or neither
/2 Correctly explains their answer.
Then in a rectangle the ratio of the width to the length is 4:5 of the rectangle is 45 cm long what is the width
Answer: the answer would be 36:45
Step-by-step explanation: Hope this helps please bore brainlyiest est.
A theater has 1200 seats. each row has 20 seats. write and solve an equation to find the number xx of rows in the theater. an equation that represents this problem is =1200=1200. there are rows in the theater.
Answer:
The equation is 20x = 1200
x=1200÷20
x=60 rows
Step-by-step explanation:
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Item 14
POSSIBLE POINTS: 5
The total cost of repairing a car is the sum of the amount paid for parts and the amount paid for labor. You paid $132 for parts and $65 for each hour of labor. The total cost to repair the car was $229.50. How many hours did it take to repair the car?
Which equation best models this problem? Let x = number of hours worked
229.5 – 65 = 132x
132x + 65 = 229.5
132 + 65x = 229.5
132 + 65 = 229.50x
Sam picked a card from a standard deck. what is the probability that sam picked a heart or a king? one over thirteen sixteen over fifty two
What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?
The speed of an object in space is shown in the graph.
What is the slope of the line?
10
15
20
25
Answer:
Option B is correct
15
Step-by-step explanation:
Formula for slope is given by:
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
As per the statement:
Form the graph:
Consider two points:
(0.2, 3) and (0.4, 6)
then;
[tex]\text{Slope} = \frac{6-3}{0.4-0.2}[/tex]
⇒[tex]\text{Slope} = \frac{3}{0.2}[/tex]
⇒[tex]\text{Slope}= 15[/tex]
Therefore, the slope of the line is, 15
can you please help me thank you you will be given brainley