Answer:
28
Step-by-step explanation:
PLEASE PLEASE HELP ME I DONT UNDERSTAND THIS SUBJECT PLESASE!!!!!!!!!!!!!!
Lyle borrowed $3,000 from the bank at a simple interest rate of 5.5%. The total amount Lyle paid the bank was $3,495. What was the amount of time Lyle had the loan?
____ years
Answer:
3
Step-by-step explanation:
Answer:
i belive those are the ones that are under 90 persent
Step-by-step explanation:
Need help please help me
Answer:
0.000000207 in scientific notation = 2.07 × 10^-7
Remember it has to have one number before the decimal.
8.2 * 10^-7 in standard form = 0.00000082
YOu have to move the decimal back.
In the first box the answer is 2.07 × 10^-7.
In the second box the answer is 0.00000082.
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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Determine whether the following statement is true or false. If it is false, rewrite it as a true statement If two events are independent, P(AIB)-P(B). Choose the correct answer below O A. True O B. False. if events A and B are independent, then P(A and B)-P(A)-P(B) O C. False, if events A and B are independent, then P(A and B)-0. O D. False, if events A and B are independent, then P(BIA)-P(A)
The statement "If two events are independent, P(AIB)-P(B)" is false. The correct statement is: "If events A and B are independent, then P(A and B) = P(A) × P(B)."
The statement "If two events are independent, P(AIB)-P(B)" is incorrect. In fact, the correct formula for the probability of the intersection of two independent events is P(A and B) = P(A) × P(B).
When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event. In this case, the probability of both events A and B happening is equal to the product of their individual probabilities.
So, the correct statement should be: "If events A and B are independent, then P(A and B) = P(A) × P(B)." This formula reflects the fundamental concept of independent events, where the probability of their intersection is simply the product of their individual probabilities.
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what is the coefficient of (3y^2 + 9)5
The coefficient of (3y² + 9)5 is 15.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is 15.
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Use logarithmic differentiation to find the derivative of y with respect to x. This is the only method I will grade here. Show every step of the process. Do not simplify your answer. y = Vx+1
The derivative of y with respect to x using logarithmic differentiation is:
dy/dx = V^(x+1) * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]
To find the derivative of y with respect to x using logarithmic differentiation, we follow these steps:
Step 1: Take the natural logarithm of both sides of the equation
ln(y) = ln(V^(x+1))
Step 2: Apply the power rule of logarithms to simplify the right-hand side
ln(y) = (x + 1)ln(V)
Step 3: Differentiate both sides of the equation with respect to x using implicit differentiation
d/dx(ln(y)) = d/dx((x + 1)ln(V))
Using the chain rule on the left-hand side, we get:
1/y * dy/dx = (d/dx(x + 1)) * ln(V) + (x + 1) * (d/dx(ln(V)))
Simplifying, we get:
dy/dx = y * [(d/dx(x + 1)) * ln(V) + (x + 1) * (d/dx(ln(V)))]
Step 4: Evaluate the derivatives
Since (d/dx(x + 1)) = 1 and (d/dx(ln(V))) = (d/dx(log(V))) = d/dx(1/V) = -1/(V * ln(10)) * d/dx(V), we can rewrite the derivative as:
dy/dx = y * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]
Step 5: Substitute the expression for y
Substituting the expression for y = V^(x+1), we get:
dy/dx = V^(x+1) * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]
Therefore, the derivative of y with respect to x using logarithmic differentiation is:
dy/dx = V^(x+1) * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]
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describe how 20,000 and 2,000 related
Answer:
They both have 3 zero's both have the number 2
They both are numbers
A leaking faucet was found in one of the labs in S\&E building. If a faucet is dripping at a rate of one drop per second and each drop contains 0.150 milliliters, calculate how much water (in liters) will be lost in one year.
A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.
To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).
In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.
Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).
Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.
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Tyee goes out to lunch. The bill, before tax and tip, was $14.20. A sales tax of 6% was added on. Tyee tipped 18% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:
$4.09
Step-by-step explanation:
14.20+6% of 14.20 = 15.05
118% of 15.05= 18.29
18.29-14.20=4.09
1.888 repeating as a mixed number
Answer:
1 111/125
Step-by-step explanation:
Athlete endorsers are often viewed as role models and expected to portray positive character traits while maintaining high moral standards, though in recent years, some athletes have rebelled against this notion. However, in some cases, teams, organizations, and brands will be willing to overlook moral or ethical blunders and character issues if a player is popular with the target audience. What is your opinion about the moral, ethical, and character standards in place for athlete endorsers? Drawing on the tenets of a Christian worldview (CWV) perspective, what would you do if you were asked to sign an athlete endorser with questionable character or moral and ethical values that were in conflict with your own?
In such a situation, I would choose not to endorse the athlete.
From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.
When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.
It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.
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How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?
Answer:
about 3000
Step-by-step explanation:
I have another question I'm struggling with. How do I solve to find the missing angle?
Answer:
\(23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) \)
a spinner with three equal-sized sections marked A,B, and C is spun 100 times. the result of the experiment are shown in the table what is the experimental probability of landing on A on C
The experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To find the experimental probability of landing on A or C, we need to add up the number of times the spinner landed on A and C, and then divide that by the total number of spins.
From the table, we can see that the spinner landed on A 30 times and on C 40 times. Therefore, the total number of times the spinner landed on either A or C is:
30 + 40 = 70
So the experimental probability of landing on A or C is:
70/100 = 0.7
However, we need to find the experimental probability of landing on A or C separately. To do that, we need to divide the number of times the spinner landed on A or C individually by the total number of spins:
Experimental probability of landing on A = 30/100 = 0.3
Experimental probability of landing on C = 40/100 = 0.4
Therefore, the experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.
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A paraglider is towed behind a boat by 400-ft ropes attached to the boat at a point 15 ft above the water. The spotter in the boat estimates the angle of the ropes to be 35 o above the horizontal. Estimate the paraglider’s height above the water to the nearest foot. Enter a number answer only.
By the use of the trigonometric ratios, the height of the paraglide is 244 ft.
What is the Trigonometric ratios?The trigonometric ratios are used to obtain the sides of a right angled triangle. In this case, the geometry of the problem can be reduced to a right angled triangle.
Thus we have;
sin 35 = x/400
x = 400 sin35 = 229 ft
Hence, height of the paraglider = 229ft + 15 ft = 244 ft
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Y-(5-(y-x)) x = 4 y = 6
I need the steps please, this is a little bit confusing..
Answer:
3
Step-by-step explanation:
substitute x = 4 , y = 6 into the expression
y - (5 - (x - y))
= 6 - (5 - (6 - 4))
= 6 - (5 - 2))
= 6 - 3
= 3
A Lua reflete parte da luz solar que nela incide. Admite que: a luz refletida pela Lua demora 1,28 segundos a chegar à Terra; entre a Lua e a Terra, a luz percorre 300 000 000 de metros em cada segundo; o trajeto da luz é retilíneo. Determina a distância da Lua à Terra. Apresenta o resultado em metros, escrito em notação científica. Mostra como chegaste à tua resposta.
Answer:
3.84 * 10^8 meters
Step-by-step explanation:
As the speed of light is 300,000,000 meters/second and the time that the light takes to go from the moon to the Earth is 1.28 seconds, we can find the distance using the formula:
Distance = speed * time
So we have that:
Distance = 300,000,000 * 1.28 = 384,000,000 meters
In cientific notation, we need the first number to be in the interval from 1 to 10, so we have 3.84, and we have to multiply by 10^8 to reach our result, so we have:
Distance = 3.84 * 10^8 meters
Which exponential functions have been simplified correctly? Check all that apply.
Answer:
A, C, and D have been simplified correctly
what is a polynomial
Answer: Polynomials are algebraic expressions that consist of variables and coefficients.
Step-by-step explanation:
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Step-by-step explanation:By completing the square, work out the coordinate of the turning point of the curve y= x²+ 16x -7
Answer:
(-8,-71)
Step-by-step explanation:
I assume by turning point it means the vertex:
\(y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71\)
Now that we converted our equation to vertex form \(y=(x+h)^2+k\), we can see our vertex, or turning point, is (h,k)=(-8,-71)
What is the value of x
HELP ME PLEASE
Answer:
x = 10
Step-by-step explanation:
im pretty sure this is right. since the ratio is 5:6, if you multiply 6 x 2, you get 12. so 5 x 2 = 10
Problem 4 (20 Points): Find the following: Note: L(S)] means Laplace Transform of f(t) ')}meanse Inverse Laplace Transform of 1. L[(1 -e-24 +4e-t)sint} 2. [(5t + 1)u(t-2)} 4. *+15+6 3. L-1 25+5
In this case, since |r|=2/3 < 1, the sum of the infinite series is:
S = a/(1-r) = 15/(1-2/3) = 45
To find L[(1 -e^(-24)) + 4e^(-t)sin(t)], we can use the linearity property of Laplace Transform:
L[(1 -e^(-24)) + 4e^(-t)sin(t)] = L[1 - e^(-24)] + L[4e^(-t)sin(t)]
Now, we can use the following Laplace Transform pairs:
L[1] = 1/s
L[e^(-at)] = 1/(s+a)
L[sin(at)] = a/(s^2 + a^2)
So,
L[1 - e^(-24)] = L[1] - L[e^(-24)]
= 1/s - 1/(s+24)
= (24)/(s*(s+24))
And,
L[4e^(-t)sin(t)] = 4L[e^(-t)sin(t)]
= 4/(s+1)^2 - 4/(s^2 + 1)
Therefore,
L[(1 -e^(-24)) + 4e^(-t)sin(t)] = (24)/(s*(s+24)) + 4/(s+1)^2 - 4/(s^2 + 1)
To find [(5t + 1)u(t-2)], we can use the definition of Unit Step Function u(t):
u(t-a) = 0, t<a
= 1, t>=a
So,
[(5t + 1)u(t-2)] = 0, t<2
= (5t + 1), t>=2
Now, we can take the Laplace Transform of (5t + 1)u(t-2) using the following Laplace Transform pairs:
L[t^n] = n!/s^(n+1)
L[e^(-at)] = 1/(s+a)
L[u(t-a)] = e^(-as)/s
Therefore,
L[(5t + 1)u(t-2)] = L[5(t-2) + 11u(t-2)]
= 5L[t-2] + 11L[u(t-2)]
= 5/s^2 + 11e^(-2s)/s
To find L^-1[25/(s+5)], we can use the following inverse Laplace Transform pair:
L^-1[1/(s-a)] = e^(at)
Therefore,
L^-1[25/(s+5)] = 25L^-1[1/(s+5)]
= 25e^(-5t)
To find the sum of the series 15+6+9/2+27/6+..., we observe that this is a geometric series with first term a=15 and common ratio r=2/3. The sum of a finite geometric series is given by:
S_n = a(1-r^n)/(1-r)
And, the sum of an infinite geometric series (for |r|<1) is given by:
S = a/(1-r)
So, in this case, since |r|=2/3 < 1, the sum of the infinite series is:
S = a/(1-r) = 15/(1-2/3) = 45
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A map has a scale of 1:200 000.
Find the area, in square kilometres, of a lake that has an area of 12.4 cm² on the map.
The area of the lake on the map scale of 1:200000 is found to be 0.496 km²
To find out the size of the lake, we have to find the area of the map and then we will use the scaling.
We know that the scale of the map is 1:200000. This means that 1 centimeter on the map represents 200,000 centimeters on the ground. Now, converting the values. So, the area of the lake on the ground is,
(12.4cm²/10,000,000)(200,000cm/1cm)² = 0.496 km²
Therefore, the area of the lake is 0.496 square kilometers (rounded to three decimal places).
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Place the indicated product in the proper location on the grid. (x + 2)(x - 2)
The product of the polynomials, (x + 2)(x - 2) = x² - 4.
How to Find the Product of Polynomials?Given the following expression, (x + 2)(x - 2), to find the product, apply the distributive property as shown below:
(x + 2)(x - 2)
x(x - 2) + 2(x - 2)
x² - 2x + 2x - 4
Combine like terms together
x² - 4
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HELP IM TIMED ROUND THE FACTOT AND ESTIMATE THE PRODUCT FOR EACH ONE
Answer:
The second one is 3,000 x 8,000 = 24,000,000 The first one is 700 x 100 = 70,000 then the third is 400 x 9,000 = 6,600,000 And the last is 9,000 x 57,000 = 513,000,000
Step-by-step explanation:
A certain television is advertised as a 10-inch TV (the diagonal length). If the width of
the TV is 6 inches, how many inches tall is the TV?
Answer:
8 in
Step-by-step explanation:
Given data
DIagonal= 10 in
Width= 6 in
`Height=???
We know that the expression that can be used to find the missing dimension is given as
d^2= w^2+h^2
substitute
10^2=6^2+h^2
100= 36+h^2
100-36= h^2
64= h^2
h= √64
h= 8 in
Hence the height is 8 in
Line s has an equation of y=-1/7x-10. Parallel to line s is line t, which passes through the point (9,-2). What is the equation of line t?
Answer:
y = -1/7x + 5/7
Step-by-step explanation:
The slope of a parallel line is the same as the original.
Find the new y-intercept.
y = -1/7x + b
-2 = -1/7(9) + b
-2 = -9/7 + b
5/7 = b
y = -1/7x + 5/7
Best of Luck!
I need help with number 5, find the area, thank you
Answer:
96
Step-by-step explanation:
So for number 5 your going to multiply 8 and 12
8 x 12 = 96
So the answer for 5 is
Answer: 96
Kareem is trying to decide which college to attend full time next year. Kareem believes there is a 55% chance that he will attend State College and a 33% chance that he will attend Northern University. The probability that Kareem will attend either State or Northern is (state your answer as a decimal and round your answer to two decimal places).
The probability that Kareem will attend either State or Northern is 0.88, which is 88% as a percentage. Rounded to two decimal places, the answer is 0.88.
The probability that Kareem will attend either State or Northern is the sum of the individual probabilities of attending each college.
Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that an event is certain.
The probability of an event A is calculated as the number of outcomes that result in A divided by the total number of possible outcomes. This is known as the classical definition of probability.
P(State or Northern) = P(State) + P(Northern) = 0.55 + 0.33 = 0.88
So the probability that Kareem will attend either State or Northern is 0.88, which is 88% as a percentage. Rounded to two decimal places, the answer is 0.88.
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Geometry - Law of Sines question #17. Please help, I am stuck.
By the law of sines, m∠EFG is such that
sin(m∠EFG) / (8 in.) = sin(m∠G) / (7.5 in)
so you need to find m∠G.
The interior angles to any triangle sum to 180°, so
m∠DEG = m∠D + m∠G + 43°
m∠DEG + m∠D + m∠G = 2 (m∠D + m∠G) + 43°
180° = 2 (m∠D + m∠G) + 43°
137° = 2 (m∠D + m∠G)
68.5° = m∠D + m∠G
But ∆DEG is isosceles, so m∠D = m∠G, which means
68.5° = 2 m∠G
34.25° = m∠G
Then
sin(m∠EFG) = (8 in.) sin(34.25°) / (7.5 in)
m∠EFG ≈ sin⁻¹(0.600325) ≈ 36.8932°