Answer:
Value after 4years is $200
Step-by-step explanation:
V(t) = 1000 - 200t
V(4) = 1000 - 200(4)
= 1000 - 800
= 200
8. Graph the following linear equations.
a. y = 2x - 3
that should be what it looks like. I would just give you the points but I feel like it was easier to do this way
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.)
Answer:
x=3.00 or x= 8.00
Explanation:
Let us denote side of the cut-out square as x inches
Then base of box = 16-2x by 6-2x
The volume = V = (16-2x)(6-2x)
= 96-3x-12x+4x
dV/dx = 96-44x+4x^2
= 0 for a max V
divide by 4
X^2 -11x +24=0
Using quadratic formula to solve the equation
X= (11± √11^2-(4×1×24)/2
(11± √25)/2
x= 3 or 8inches
From the equation of volume = V = x(16-2x)(6-2x)
Substitute
let x = 3 , V = 3(16-6)(6-6) = 0
let x = 8 , V = 8(16-16)(6-16) = 0
Therefore, the maximum volume exist at both point x=3 or x= 8
You must write all your answers on one line:
Answer:
(A,1) (A,2) (A,3) (A,4) (B,1) (B,2) (B,3) (B,4)
Hope that helped?
Use a graph and table to predict when the population will drop below 8,000
PART 1
The exponential decay model is given to be:
\(y=a(1-r)^x\)where a is the initial value and r is the decay rate.
In the question, the initial value is 15,500 and drops at a rate of 3%. This means that we have the following parameters:
\(\begin{gathered} a=15500 \\ r=\frac{3}{100}=0.03 \\ \therefore \\ 1-r=1-0.03=0.97 \end{gathered}\)Therefore, the exponential model is gotten to be:
\(y=15500(0.97)^x\)PART 2
The graph of the function is shown below:
At x = 8000, we have the time as shown below:
The time will be 21.7 years.
Which expression is equivalent to 83 ⋅ 8−7? (1 point)
a
fraction: 1 over 8 to the power 10
b
1 over 8 to the power 4
c
810
d
84
\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)
Calculate the mean value of the radius (r) at which you would find the electron if the H atom wave function is 100(r).
The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.
The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.
To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.
Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.
In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.
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Please help me, I'm giving away the rest of my points for this 2 part question..
for the second part the answer choices are
A: Right
B: Obtuse
C: Isosceles
D: Equilateral
Answer:
First part
angle ABC=94 degrees
angle BCD=25 degrees
angle ACB=43 degrees
Second part
C) isosceles and obtuse because angle ABC is greater than 90 degrees and angle ACB=angle CAB
Step-by-step explanation:
All triangles contain 180 degrees.
Triangles ADB and CDB are congruent because side-angle-side theorem.
Since angle ABD=133 degrees, angle CBD=133 degrees because corresponding angles of congruent triangles are equal.
angle ABC=360-133-133=94 degrees
angle BCD=180-133-22=25 degrees
angle ACB=(180-94)/2=43
6x^2-12x-210
What are the x's
Answer:
in the pictureStep-by-step explanation:
× = 7× = 5
HOPE ITS HELP
Answer:
x = -7 and x = 5
Step-by-step explanation:
First, make the problem easier by taking out the common factor (6).
6x² - 12x - 210 -----> 6(x² - 2x - 35)
What two numbers multiply to -35 and add to -2? These two numbers are -7 and 5. You can now write the factored form of the expression.
6(x² - 2x - 35) -----> 6(x - 7)(x + 5)
Finally, find the x's by making each term with x equal to zero.
x + 7 = 0 -----> x = -7
x - 5 = 0 -----> x = 5
The x's are x = -7 and x = 5
Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m. b One angle is 25° greater than another.
other one didn't work, need answer asap,
The measure of the two angles will be x > 25° and y = 180° - x°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The two lines are parallel and the third line is a transversal line.
If one angle is greater than 25°. Then the other angle is given as,
Let the angles be 'x' and 'y'. Then angles are supplementary angles. Then the inequality is given as,
x > 25° ...1
x + y = 180°
y = 180° - x ...2
From equations 1 and 2, then we have
y = 180° - x
The measure of the two angles will be x > 25° and y = 180° - x°.
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if the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work (in ft-lb) is needed to stretch it 9 in. beyond its natural length?
The answer is 3 ft-lb.
What is the natural length of a spring?The spring's length without any attached mass is its natural length. Assuming the spring abides with Hooke's law The spring exerts a force Fs=kL if its length is altered by an amount L from its normal length, where k is a positive quantity known as the spring constant.W = 12kx2 is the amount of work required to stretch a spring x distances from its equilibrium point. Calculation information: (a) The formula is as follows: F = mg = (4 kg)(9.8 m/s2) = 39.2 N. x = 0.025 m.The spring's length at equilibrium is the length it has when no external forces are exerting any force on it. This is how spring naturally exists.
Beyond its natural length:
Work done to strech the spring to a lentgh x = 0.5 * k * x^2
Now;
12 = 0.5 * k * 9
k = 8/3 = 2.667
9 in = 1.5 ft
Work needed to stretch it 9 in. beyond its natural length = 0.5 * 2.667 * 1.5*1.5 = 3 ft-lb
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Find the slope between the two points: (20, 8), (9, 16)
Answer:
\( \huge - \frac{8}{11} \\ \)
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)
From the question we have
\(m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ \)
We have the final answer as
\( - \frac{8}{11} \\ \)
Hope this helps you
Answer:
\( \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}\)
Step-by-step explanation:
to understand thisyou need to know about:linear equationslopePEMDASgiven:points:(20,8),(9,16)to find:slopetips and formulas:\(m=\frac{y_2-y_1}{x_2-x_1}\)let's solve:let (20,8) and (9,16) be start and end points respectively
according to the question
\( \sf\frac{8 - 16}{20 - 9} \)\( \sf substract : \\ \sf \frac{ - 8}{11} \)and we are done
A cylindrical candle with a radius of 3 centimeters and a height of 8 centimeters has a mass of 300 grams.
Another candle made out of the same wax is formed into a cone. The diameter of the base of the cone is 4 centimeters and the height of the cone is 12 centimeters. What is the mass of the cone candle?
The mass of the cone candle is volume of empty space = 0.15 cm
What is the mass of the container?The property of a body that is a measure of its inertia and that is commonly taken as a measure of the amount of material it contains and causes it to have weight in a gravitational field
volume of empty space = volume of the cylinder - volume of water
First, we need to calculate the volume of the container
The volume of a cylinder = πr²h
where r = radius of the container and
h is the height of the container
r = 3cm and h = 8 cm
π is a constant which is ≈ 3.14
volume of a cylinder = πr²h
=3.14 × 3²×8
=3.14×9×8
=226.08 cm³
We will proceed to find the volume of water
since liquid will take the shape of its container,
then volume of water = πr²h
r is the radius of the container and h is the height of the water
r = 2cm and h = 12cm
volume of water = πr²h
= 3.14 ×2²×12
=3.14×4×12
=75.56 cm³
volume of empty space = volume of the cylinder - volume of water
=226.08 cm³ - 75.56 cm³ cm³
= 150.52 cm³
Mass = Volume/1000
Mass = 150.52/1000 = 0.15052g
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A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?
Answer:
2015-2010=5
50÷5=10
120-50=70
2017-2015=2
2*10=20
70-20=50mg
2018=50mg
an assumption of the linear model of communication is the belief that _____.
The communication is a one-way process in which a message is conveyed from a sender to a receiver is one of the assumptions made by the linear model of communication.
The straightforward linear model of communication presents communication as a process with distinct beginnings and endings.
But this model ignores the fact that communication is frequently a more complex and involved process that needs context, feedback, and a variety of channels.
The linear model presumes that the message is clearly understood by the recipient and that it is received by the recipient free from distortion or interference.
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An assumption of the linear model of communication is the belief that communication is a one-way process where a sender transmits a message to a receiver through a channel. This model assumes that communication is a linear process where the sender encodes a message, which is then sent through a channel to the receiver who decodes the message.
In the linear model, the sender encodes a message, sends it through a channel, and the receiver decodes the message. This model does not account for feedback or interaction between the sender and receiver, assuming that communication is a straightforward and direct transmission of information without any complexities or interruptions.
This model assumes that there is little to no feedback or interaction between the sender and receiver, and that the message is transmitted and received accurately without any distortion. However, this assumption is often criticized for oversimplifying the complex nature of communication and ignoring the role of context and feedback in the communication process.
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There are two urns, each containing an infinite number of balls. In the first urn, 70% of the balls are red and 30% are blue. In the second urn, 70% of the balls are blue and 30% are red. You randomly drew 12 balls from one of the urns (i.n., the first urn or the second urn). Out of the 12 balls, 8 are red and 4 are blue. What is the probability that you drew the balls from the first urn
The probability that the balls are drawn from the first urn is 0.99.
The given problem provides information on two urns. In the first urn, 70% of the balls are red, and 30% are blue, while in the second urn, 70% of the balls are blue, and 30% are red. From one of the urns, 12 balls are randomly drawn, out of which 8 are red, and 4 are blue.
We need to determine the probability that the balls are drawn from the first urn.
Let A be the event that the balls are drawn from the first urn. The probability of selecting urn 1 is given by P(A). Out of the 12 balls drawn, 8 are red and 4 are blue. Hence, we can write P(RRBBRRRRRRRR) = P(A) x P(8 red balls and 4 blue balls are drawn | A).
The probability of selecting either urn 1 or urn 2 is 0.5, which is represented as P(A) = P(B). Therefore, P(RRBBRRRRRRRR) = 0.5 x (0.7)^8 x (0.3)^4 = 0.00424.
Let B be the event that the balls are drawn from the second urn. The probability of selecting urn 2 is given by P(B). Out of the 12 balls drawn, 4 are red and 8 are blue. Hence, we can write P(BBRRBBBBBBBB) = P(B) x P(4 red balls and 8 blue balls are drawn | B).
Therefore, P(BBRRBBBBBBBB) = 0.5 x (0.3)^4 x (0.7)^8 = 0.00043.
The probability that the balls are drawn from the first urn is given by P(A | RRBBRRRRRRRR) = P(A) x P(RRBBRRRRRRRR) / [P(A) x P(RRBBRRRRRRRR) + P(B) x P(BBRRBBBBBBBB)].
Substituting the values, we get P(A | RRBBRRRRRRRR) = 0.5 x 0.00424 / [0.5 x 0.00424 + 0.5 x 0.00043] = 0.989 which is approximately 0.99.
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Based on data from the environmental protection agency, 18 gallons of water is used on average to take a shower, which translates to one trillion gallons of water used for showers across the united states. Which activities can help conserve water when taking showers? check all that apply.
The human body and 70% of the earth are both made of water. In the modern world, there are millions of marine species that live in water. Similarly, water is essential to humankind.
Water is necessary for all major enterprises in one way or another. But this priceless resource is running out faster and faster. Most of the causes are exclusively human-made. Water conservation is therefore more important than ever. You will understand the significance of water conservation and how limited it is. We can instill the following activities in our daily life to conserve water.
Installing low-flow showerheadsFixing leaks in the showerTaking shorter showersCollecting and reusing greywater from the shower for irrigation or other non-potable usesUsing a water-saving shower valveInstalling a shower timerUsing a bucket in the shower to collect and reuse greywaterTo know more about water conservation visit :
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Answer: C, D, E
C: Turn the shower off when shampooing
D: Turn the shower off completely after use
E: Use showerheads that use less water
Step-by-step explanation:
Just did it on edge and got them right :)
Calculate the measure of ∠ PMU and ∠ UPM.
m∠ PMU =
m∠ UPM =
Answer:
you want to find angle PMB to find PMU
180-21-35= 124
so now, you subtract 180-124 to find PMU
180-124= 56
Now, subtract 56 and 62 from 180 to find angle UPM
180-56-62= 62
m< PMU = 56
m<UPM = 62
Step-by-step explanation:
So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.
62+35=97
180-97=83
Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.
83-21=62(angle UPM)
Then do the same steps for finding the M angles
(Left Triangle)
62+62=124
180-124=56
(Right Triangle)
21+35=56
180-56=124
And because M intersects a straight line, the M angles should add up to 180.
56+124=180
Hope This Helps :)
How are arithmetic and geometric sequences similar.
Answer:
The similarities between arithmetic and geometric sequences is that they both follow a certain term pattern that can't be broken.
brainliest is appreciated
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers that is calculated by subtracting or adding a fixed term to/from the previous term. However, a geometric sequence is a sequence of numbers where each new number is calculated by multiplying the previous number by a fixed and non-zero number.
Write a system of equations for the scenario
JUSD is selling tickets to a district-wide concert. They offer a two-dollar discount off the regular price ticket for bringing a canned food item for donation. On the first day of ticket sales, JUSD collected a total of $213 by selling 14 regular price tickets and 23 tickers with a donation. How much does each type of ticket cost?
Answer:
System of equation : 14x+23y = 213 and y = x-2
The cost of regular tickets is $7 and the cost of tickets with donation is $5.
Step-by-step explanation:
Let regular ticket's cost be x and tickets with donation's cost be y.
14x+23y = 213
y = x-2
Now,
14x+23y = 213
or, 14x+23(x-2) = 213
or, 14x + 23x - 46 = 213
or, 37x = 259
so, x = 7
again,
y = x-2
or, y = 7-2
so, y = 5
adding a tracking variable to count the number of times a loop executes can be an effective way to measure of answer choicestruefalse
Adding a tracking variable to count the number of times a loop executes can be an effective way to measure the answer choice's truthfulness.
Adding a tracking variable to count the number of loop executions can indeed be a useful technique for various purposes. By incrementing the tracking variable within the loop, we can keep track of the number of times the loop body is executed. This information can be valuable in measuring the accuracy or efficiency of the loop and evaluating the truthfulness of an answer choice.
For example, when comparing different algorithms or approaches, counting loop iterations can help determine which solution performs better. It provides a quantitative measure to assess time complexity or resource usage. Additionally, the tracking variable can be used to validate the correctness of a loop by ensuring that the expected number of iterations is reached.
By monitoring the loop execution count, we can gain insights into the behavior of the code, identify potential issues such as infinite loops, and make informed decisions based on the observed results. Hence, adding a tracking variable to count loop executions can be an effective technique to measure the truthfulness or performance of an answer choice in certain scenarios.
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(5x - 2y)^3
Expand using Bionomial Theorum. Show steps, please.
Answer:
125x³ − 150x²y + 60xy² − 8y³
Step-by-step explanation:
(5x − 2y)³
₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³
(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)
125x³ − 150x²y + 60xy² − 8y³
Which of the following rules describes the function graphed below
A) output = input
B) Output = 2•Input - 1
C) Output = Input + 2
D) Output = 3 • Input - 2
3 and 20
Drag each pair of numbers to show if their greatest common factor (GCF) is less than
5, equal to 5, or greater than 5.
12 and 30
GCF is less than 5.
DRAG AND
DROP ITEMS
HERE
25 and 30
E
[
15 and 20
6 and 33
GCF is equal to 5.
DRAG AND
DROP ITEMS
HERE
20 and 30
CLEAR CHECK
GCF is greater than 5.
DRAG AND
DROP ITEMS
HERE
A
The matching pairs of the greatest common factor (GCF) of the numbers is given as follows:
3 and 20: less than 5.12 and 30: greater than 5.25 and 30: equals to 5.15 and 20: equals to 5.6 and 33: less than 5.20 and 30: greater than 5.How to find the greatest common factor between two numbers?As the common word states, the greatest common factor between two numbers a and b is the greatest number by which both numbers a and b are divisible by.
Hence, the GCFs for the pairs in this problem are given as follows:
3 and 20 = 1, as 3 is prime(only divisible by 1 and by itself), hence less than 5.12 and 30 = 6, as 12/6 = 2 and 30/6 = 5, hence greater than 5.25 and 30 = 5, as 25/5 = 5 and 30/5 = 6, hence equals to 5.15 and 20 = 5, 15/5 = 5 and 20/5 = 4, hence equals to 5.6 and 33 = 3, as 6/3 = 2 and 33/3 = 11, hence the GCF of 3 is less than 5,20 and 30 = 10, as 20/10 = 2 and 30/10 = 3, hence the GCF of 10 is greater than 5.More can be learned about the greatest common factor at https://brainly.com/question/219464
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four percent of the customers of a mortgage company default on their payments. a sample of 20 customers is selected. what is the probability that exactly two customers in the sample will default on their payments?
Using the Binomial probability distribution,
The probability that exactly two customers in the sample will default on their payments is 0.31..
We have given that,
4% of total customers a mortgage company default on their payments .
The probability of success i.e number of customers default on their payments (p) = 4%
= 0.04
The probability of failure (q) = 1-p = 1-0.04 = 0.06
Total number of customers in sample (n) = 20
we have to find out the probability that exactly two customers in the sample will default on their payments.
Using the Binomial probability distribution,
P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
the required probability is P(X= 2 )
Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸
=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31
Hence, the required probability is 0.31
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This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
What is the value of the expression below when x
3 and y = 8?
6x + 10y
Answer:
98
Step-by-step explanation:
So we have the expression:
\(6x+10y\)
And we want to evaluate it when x is 3 and y is 8.
So, substitute:
\(=6(3)+10(8)\)
Multiply:
\(=18+80\)
Add:
\(=98\)
And we're done!
Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
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Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.
Answer:
Step-by-step explanation:
Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.
Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.
improper fraction: 3 ⅝
Answer: The improper fraction for 3 ⅝ is 29/8.
Step-by-step explanation: ^^
water tank holds 711 gallons but is leaking at a rate of 4 gallons per week. second water tank holds
948 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water
in the two tanks be the same?