The vertical intercept of the graph is 100,000
What is an exponential function?A function whose value is a constant raised to the power of the argument, especially the function where the constant is e, is called an exponential function.
Given that, the population p of migrating butterflies satisfies the exponential function p = 100,000 (4/5)ⁿ, where n is the number of weeks,
So, we need to find the vertical intercept of the graph,
We know that, vertical intercept = intercept
To find the y-intercept of a line, we will put x = 0,
here x is n,
So, the y-intercept of the graph is = 100,000 (4/5)⁰ = 100,000×1 = 100,000
Therefore, the vertical intercept of the graph is 100,000
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Is one bank ALWAYS better? What factors might affect which bank has the better fee
structure?
No one bank is not always better. Factors such as the fees and the charges in one bank may differentiate it from another bank.
What may cause a bank to be better than another bank?No, one bank is not always better than another. The best bank for an individual depends on a variety of factors, including their financial needs and preferences, location, and the fees and charges associated with different banks.
For example, one bank may have lower fees for checking accounts but higher fees for ATM withdrawals or international transactions, while another bank may have higher fees for checking accounts but lower fees for other services.
Other factors that might affect which bank has the better fee structure include the type of account, the minimum balance required to avoid fees, and the level of customer service provided by the bank. Ultimately, the best bank is the one that meets an individual's financial needs at the lowest cost.
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In Iceland, the temperature drops when the sun goes down. The temperature at 5:00 is 5°C. By 9:00, the temperature had dropped 24°. If the temperature dropped at a constant rate, how much did it drop per hour?
If the temperature dropped at a constant rate, it would have dropped 4°C per hour. This can be calculated by taking the difference in temperature (24°C) and dividing it by the number of hours that passed (4 hours).
50 pair of tennis shoes at $85 a pair with terms 4/10, 2/30, n/60. the invoice was dated for october 15. payment was sent in october 28, what was the total amount of the check
Answer:
Step-by-step explanation:
The terms "4/10, 2/30, n/60" indicate that the buyer can take a discount of 4% if they pay within 10 days from the invoice date, or pay the full amount within 30 days from the invoice date. If the payment is made after 30 days, the buyer must pay the full amount plus any late fees that may apply.
Since the invoice was dated October 15 and the payment was sent on October 28, the payment was made within 30 days from the invoice date, so the buyer cannot take the 4% discount.
The total cost of 50 pairs of shoes at $85 per pair is 50 * 85 = $4250.
Therefore, the total amount of the check would be $4250, which is the full amount of the purchase price without the 4% discount.
Identify true statements about set membership and subsets
The statement that are true are :
a. Z is an element {y,z}
b. {6,7,8 } is a subset of {1,2,3,4......}
c. 3 is an element of {2,3}
d. r is not an element of {s,t,u}
What is set?
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
The objects in a set are called the elements (or members ) of the set; the elements are said to belong to the set (or to be in the set), and the set is said to contain the elements.
The following statements are true about the set
a. Z is an element {y,z}
b. {6,7,8 } is a subset of {1,2,3,4......}
c. 3 is an element of {2,3}
d. r is not an element of {s,t,u}
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1. Is Event 1 and Event 2 Mutually Exclusive of each other? Event 1: Pre- Schooler is a girl Event 2: Pre- Schooler prefers the color blue to the color pink Select one: a. No, A girl pre-schooler can prefer the color blue to the color pink. b. Yes, The gender of pre-schooler has no affect on color preference c. Yes, Girls prefer the color pink to the color blue 2. 70 preschoolers were asked whether they preferred blue or pink. 35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color. Assuming one of the pre-schoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
The probability of choosing a preschooler who is a girl and prefers the color blue is 0.3 or 30%.
The total number of preschoolers who were asked about their color preference is 70. Out of these, 35 girls chose pink, 15 girls chose blue, 5 boys chose pink, and 15 boys chose blue.
To find the probability of choosing a girl who prefers blue, we need to use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Here, the favorable outcome is choosing a girl who prefers blue. We can see that 15 girls chose blue as their preferred color. Out of these, we need to choose a girl, so the total number of favorable outcomes is 15.
The total number of outcomes is the total number of preschoolers, which is 70. Out of these, the number of girls is 35+15=50. Therefore, the total number of outcomes where a girl can be chosen is 50.
Putting these values in the formula, we get:
Probability = 15/50 = 0.3
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Complete Question;
70 preschoolers were asked whether they preferred blue or pink.
35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color.
Assuming one of the preschoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $
3.00 for rolling a 1 or a 3, nothing otherwise. What is your expected net winnings?
for
lingun?
Answer:
21.7% to win $3, thats ~1/5
Step-by-step explanation:
100/6 = 10.(6) % to roll for each number (let it be just ~10.7)
for rolling a 3 or a 1 u will get $3
10.7 + 10.7 = 21.7% to win $3, thats 1/5
Multiply the following radicals and simplify your answer.
2√6⋅−3√12
The temperature in a certain location was recorded each day for two months. The mean temperature was 28.8°F with a standard deviation 7.4°F. What can you determine about these data by using Chebyshev's Inequality with =K3?
Answer:
Chebyshev's inequality states that for any given dataset, at least 1 - 1/k^2 of the data will lie within k standard deviations from the mean.
When k = 3, at least 1 - 1/3^2 = 1 - 1/9 = 8/9 of the data will lie within 3 standard deviations from the mean.
So, for the temperature data, we can determine that at least 8/9 of the data will lie between 28.8 - 3 × 7.4 = 7°F and 28.8 + 3 × 7.4 = 50.6°F.
In other words, we can say that at least 8/9 of the temperatures recorded during the two months were between 7°F and 50.6°F.
Which of the following equations represents a linear function? Please show the steps of the answer! Thank you
Answer:
2nd choice y = 1/2x - 5
Step-by-step explanation:
y = 1/2x - 5 is the only function listed that if you graph it, it makes a straight line. A linear function forms a straight line when it is plotted on a graph.
The first and last choices are number values of x.
The 3rd choice, if you graph it, makes a parabola.
Answer:
Second option:
[tex]y = \dfrac{1}{2}x -5[/tex]
Step-by-step explanation:
A linear function should have y as a function of x (or x as a function of y) and the degree of the function (the highest power has to be 1)
Both x and y must be present to make it a linear function
General slope intercept form is y = mx + b where m = slope, b = y-intercept
With these restrictions the second option is the correct one
[tex]y = \dfrac{1}{2}x -5[/tex]
This line is in slope intercept form y = mx + b where m = slope(in this case 1/2) and y-intercept b(in this cae -5)
Option 1: x = 3 is a straight vertical line parallel to the y-axis. Such a line has a slope of ∞
Option 3 is a function with degree 2 and is a quadratic function
Option 4 : 3x - 6 = 4==> 3x = 6 + 4 = 10 or x = 10/3, again another vertical line with slope = ∞
In ADEF, J is the intersection of the three medians. If EI = 33, find JI.
D
Q
H
F
The value of JI in the given triangle is 11.
What is a triangle?A triangle is a polygon with three sides, vertices and angles.
Given that, in a triangle DEF, J is the intersection of the three medians.
EI = 33, we are asked to find the value of JI,
Since, all the median is intersecting at J, therefore, J is the centroid.
We know that, the centroid divides each median into two parts, which are always in the ratio 2:1.
Therefore,
Let, EI = 3x,
JI = x,
Therefore, JI = 11
Hence, the value of JI in the given triangle is 11.
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The complete question is :
In Δ DEF, J is the intersection of the three medians. If EI = 33, find JI.
Figure is attached
Money A savings account increases from $200 to $206. What is the percent increase of the savings account?
Answer:
3% increase
Step-by-step explanation:
Two hundred college students were recently asked if they participated in music or sports. 127 students said they were
involved in music. 78 students said they participated in both activities, while 20 students did not participate in either.
How many students participated in only music?
How many students participated in only sports?
How many students were involved in music or sports?
Using Venn diagram, 49 students participated in only music, 29 students participated in only sports, and 156 students were involved in either music or sports.
What is the number of students that participated in only musicLet's use a Venn diagram to represent the information given:
We know that there are 200 students in total, and we can use the information given to fill in the numbers in the Venn diagram.
a.
127 students were involved in music, including 78 who were also involved in sports, so 127 - 78 = 49 students participated in only music.
b.
78 students participated in both music and sports, so 78 - 49 = 29 students participated in only sports.
20 students did not participate in either activity.
c.
The total number of students involved in music or sports is the sum of the number of students in each circle: 49 + 29 + 78 = 156.
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A true-false quiz contains six questions. In how many ways can a student answer the questions if the student answers two of the questions with "false" and the other four with "true"?
Answer: In each question you have two options, T and F. Then in 6 questions you have 2 options for the first, two for the second, two for the third... At the end you get 2·2·2·2·2·2 = 26 options and 26 = 64.
Step-by-step explanation:
Solve d+5/-2<=-3/2 please help I will give brainly
Answer:
Step-by-step explanation:
inequality form
d≤ 1
Interval Notation:
(−∞,1]
5.3A Find Two Numbers Whose Product and Sum is as Indicated
For product=6 and sum=7, the numbers or integers are 1 and 6.
What exactly are integers?
In mathematics, integers are the collection of positive and negative numbers. Integers, like whole numbers, do not include the fractional element. Thus, integers are numbers that can be positive, negative, or zero, but not fractions. On integers, we can do all arithmetic operations such as addition, subtraction, multiplication, and division. Integers include numbers such as 1, 2, 5, 8, -9, -12, and so on. "Z" is the symbol for integers.
now,
As given product=6 and sum=7
make factors for 6 i.e 1,2,3,6
from these choose the numbers whose sum=7
and they are 1,6.
Hence,
For product=6 and sum=7, the numbers are 1 and 6.
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The lengths of nails produced in a factory are normally distributed with a mean of 6.13
centimeters and a standard deviation of 0.06
centimeters. Find the two lengths that separate the top 7%
and the bottom 7%
. These lengths could serve as limits used to identify which nails should be rejected. Round your answer to the nearest hundredth, if necessary.
The two lengths that Bottom 7%: L= 6.04 cm
Top 7%: L= 6.22 cm
What does "z-score" mean?
The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.
The level of variability within a particular data collection is effectively reflected in the standard deviation.
Mean length of the population (μ) = 6.13 cm
Standard deviation (σ) = 0.06 cm
The z-score for any given length 'X' is
Z = X - μ/σ
What we want to know is the length at the 7-th percentile and at the 93-rd percentile.
According to a z-score table, the 7-th percentile has a correspondent z-score of -1.476 and the 93-rd percentile has a z-score of 1.476. Therefore, the bottom 7% and top 7% are separated by the following lengths
Z(Xb) = Xb - μ/σ
- 1.476 = Xb - 6.13/0.06
Xb = 6.04
z(Xt ) = Xt - μ/σ
1.476 = Xt - 6.13/0.06
Xt = 6.22
Bottom 7%: L= 6.04 cm.
Top 7%: L= 6.22 cm.
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Write System of Equations from Context
Kennedy has $0.81 worth of pennies and nickels. She has 9 more nickels than
pennies. Write a system of equations that could be used to determine the number of
pennies and the number of nickels that Kennedy has. Define the variables that you
use to write the system.
Let __=_________
Let__=___________
System of Equations:
_________________
_________________
More than 50 years after it jumped the species barrier and became one of the most devastating viruses to affect mankind, HIV remains a stubborn adversary. Treatment has improved dramatically over the past 20 years and now, a cure could be in sight.
Source: The Guardian, November 30, 2018
Make a graph of the production possibilities frontier with HIV/AIDS cases treated on the x-axis and other goods and services on the y-axis before and after the advance in technology.
Question content area bottom left
Part 1
The opportunity cost of treating HIV/AIDS cases increases as more HIV/AIDS cases are treated.
Draw a curve that shows the production possibilities for the world economy that produces HIV/AIDS treatments and other goods and services. Label the curve PPF0.
Then draw the PPF that shows the effect of an advance in technology on HIV/AIDS treatments. Label the curve PPF1.
On solving the provided question, we can say that from the graphs The curve preceding technolοgical advancement is called PPF0. PPF1 is the curve following technological advancement.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations οr charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue tοgether the nodes, οften referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of expοnential growth. a logarithmic graph in the shape οf a triangle
The curve preceding technolοgical advancement is called PPF0. PPF1 is the curve following technοlogical advancement.
Priοr to technological advancement, the opportunity cost of treating HIV/AIDS rises as the wοrld deviates from its PPF. The pοtential cost of treating more HIV/AIDS cases falls as a result of technοlogical advancements since less other commοdities and services must be sacrificed in οrder to treat more HIV/AIDS patients. Alternatively, the world might treat mοre HIV/AIDS patients right now by forgoing the same number of other commοdities and services.
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(9+w) (2w+3)=0
If there is more than one solution, please seperate with commas
Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line.
2x+4<10
The solution set of the inequality is [3, ∝)
How to determine the solution setFrom the question, we have the following parameters that can be used in our computation:
2x + 4 < 10
Subtract 4 from both sides of the inequality
So, we have the following representation
2x + 4 - 4 < 10 - 4
Evaluate the like terms
2x < 6
Divide both sides by 2
x < 3
When represented as an interval notation, we have
[3, ∝)
See attachment for the inequality of the solution set
Hence, the solution is [3, ∝)
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well asap due today pls
Answer:
96 in²
Step-by-step explanation:
Length of Semiperimeter
[tex]\displaystyle s=\frac{1}{2}(a+b+c)=\frac{1}{2}(12+16+20)=\frac{1}{2}(48)=24[/tex]
Area of Triangle w/Heron's Formula
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}=\sqrt{24(24-12)(24-16)(24-20)}=\sqrt{24(12)(8)(4)}=\sqrt{9216}=96[/tex]
Hence, the area of the triangle is 96 in².
Find the length of WB
Answer:
WB = 16 in---------------------------
According to picture we observe:
W is midpoint of AT and B is the midpoint of TE.The segment connecting the midpoints is the midsegment.
As per property of the midsegment, it is parallel to opposite side and is half of its measure.
It tells us that WB is parallel to AE and:
WB = AE/2 WB = 32/2WB = 16 inI will give brainliest and ratings if you get this correct
The quotient rule is proved below.
What is derivative of a function?In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
Given is the expression -
Q(x) = F(x)/G(x)
Quotient rule -Quotient rule in calculus is a method used to find the derivative of any function given in the form of a quotient obtained from the result of the division of two differentiable functions. Mathematically, for a function f(x), we can write -
f'(x) = [u(x)/v(x)]' = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]²
Proof -Now, let f(x) = u(x) and g(x) = v(x).
Q(x) = u(x)/v(x)
Q(x) = u(x) v⁻¹(x)
Using the product rule -
Q'(x) = u'(x) v⁻¹(x) + u(x) {d/dx v⁻¹(x)}
Q'(x) = u'(x) v⁻¹(x) + u(x) (-1)(v(x)⁻²) v'(x)
Q'(x) = u'(x)/v(x) - u(x)v'(x)/v²(x)
Q'(x) = [v(x) × u'(x) - u(x) × v'(x)]/[v(x)]²
Therefore, the quotient rule is proved above.
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What is the doubling time for the investment? Round answer to 1 decimal place.
The amount of money in an investment is modeled by the function A(T)=650(1.0455)^T. The variable A represents the investment balance in dollars, and T the number of years.
The doubling time for the investment as required to be determined is; 15.58 years.
What is the value of the investments doubling time?It follows from the task content that the model function is;
A(T)=650 (1.0455) ^T
For doubling time;
2 = (1.0455)^T
ln (2) = T ln (1.0455)
T = ln 2 / ln (1.0455)
T = 15.58 years.
Ultimately, the doubling time of the investment as required is; 15.58 years.
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NEED PLS THANK YOU DUE TODAY
Now , to find the area
Total area of figure = Area of first Triangle + Area of second triangle
The area of the triangle = ( 1/2 ) x Length x Base
Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )
= ( 1/2 ) x 540 + ( 1/2 ) x 120
= 270 + 60
= 330 inches²
Therefore , the value is 330 inches²
Hence , The area of the figure is 330 inches²
Solve for x
2,4, and 6 i need help with
Answer: x=56
Step-by-step explanation: Question 2 shows a right angle that is equal to 90 degrees. Since you are already given 34, you just need to subtract 90-34.
Question 4 shows an 180 degree angle and so you need to do the same thing; 180-124
NEED HELP ASAP!!!
Due today
Answer:
20 cubic yards
Step-by-step explanation:
You want to know the volume in cubic yards of a layer of topsoil that is 6 inches deep over an area 31 feet by 34 feet.
UnitsYou know that ...
36 inches = 1 yard3 feet = 1 yardThen the dimensions of the volume being applied are ...
6 inches = 6/36 yards
31 feet = 31/3 yards
34 feet = 34/3 yards
VolumeThe volume is the product of the dimensions of the space:
V = LWH
V = (31/3 yd)(34/3 yd)(6/36 yd) ≈ 19.519 yd³
About 20 cubic yards are needed to fill the garden.
∠A=6x−35 ∘ start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 35, degrees, end color #11accd ∠ � = 3 � + 5 3 ∘ ∠B=3x+53 ∘
73 degrees is the equivalent meausure of m<A
Solving line geometryFrom the given line geometry below, the sum of the adjacent angles is 180 degrees as shown:
m∠A + m∠B = 180
Given the following
∠A = 6x - 35
∠B = 3x + 53
Substitute the given parameters
6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
Determine the measure of <A
<A = 6x - 35
<A = 6(18) - 35
<A = 108 - 35
<A = 73 degrees
Hence the measure of angle A from the given diagram is 73 degrees
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Write an equation for a rational function with the given characteristics.
Vertical asymptotes at x = -2 and x = 3,2-intercepts at (-4, 0) and (-1,0), y-intercept at (0,4).
F(x)=
The equation of the rational function with the given features is given as follows:
F(x) = [4(x² + 5x + 4)]/(x² - x - 6).
How to define the rational function?A rational function is a fraction, in which both the numerator and the denominator contain instances of the variable x.
Considering the x-intercepts, the numerator of the function is defined as follows:
y = a(x + 4)(x + 1)
y = a(x² + 5x + 4).
Considering the y-intercept at (0,4), the leading coefficient a is given as follows:
a = 4.
The vertical asymptotes determine the zeros of the denominator, which is given as follows:
(x + 2)(x - 3) = x² - x - 6.
Hence the function is defined as follows:
F(x) = [4(x² + 5x + 4)]/(x² - x - 6).
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Will is moving from Boston to Philadelphia which is 300 miles away. He is traveling at an
