Answer:
Answers are in green. Good luck!
As per given instructions ,we can solve Gross pay, Deductions and Net pay in the following way:
Win : Gross pay = $257.20, Deductions = $42.49, Net pay = ?
Net pay = Gross pay - Deductions
Net pay = $257.20 - $42.49 = $214.71
Margaret : Deductions = $73.11 , Net pay = $311.96 , Gross pay = ?
Gross pay = Net pay + Deductions
Gross pay = $311.96 +$ 73.11 = $385.07
Mark : Gross pay = $429.00 , Net pay = $347.30
Deductions = Gross pay - Net pay
Deductions = $429.00 - $347.30 = $81.7
Clare : Deductions = $109.50 , Net pay = $388.50 , Gross pay = ?
Gross pay = $109.50 + $388.50 = $498
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What is the solution to this inequality?
42.06 = 21.33 + 3x
Answer:
x = 6.91 hope this helps pls lmk
WILL GIVE BRAINLIEST
Write an equation of the parabola that passes through the points (1, – 9), (0, – 8), and (2, -8).
Answer: y = x^2 - 2x - 8
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
Instructions: Find the missing side. Round your answer to the nearest tenth.
Using the sine ratio, the length of the missing side is: 11.8.
How to Find Missing Side Using the Sine Ratio?The sine ratio is, sin ∅ = opposite/hypotenuse.
Given the following:
∅ = 24°
Opposite = x
Hypotenuse = 29
sin 24 = x/29
x = (sin 24)(29)
x = 11.8
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-5.4√300
could someone show me the step by step
Answer: 5.4\(\sqrt{300}\) = -93.5307436087194= -93.53
Step-by-step explanation:
-5.4√300
Factor 300=\(10^{2}\)x3. Rewrite the square root of the product \(\sqrt{10^{2} x 3}\)
as the product of square roots \(\sqrt{10^{2} } \sqrt{3}\). Take the square root of \({10^{2} }\)
−5.4×10\(\sqrt{3}\)
Multiply −5.4 and 10 to get −54.
\(-54\sqrt{3}\)
Order the time periods from oldest to youngest.
Answer:
Silurian, Triassic, Jurassic, Tertiary
Step-by-step explanation:
Convert 6.64 so that is is 10\(^8\)
So you'll have 0.664 × 10\(^8\)
Then you can just order them from largest to smallest :)
If it doesn't make sense you can also convert the index notation (the powers with 10) into whole numbers so
2.08 × 10\(^8\) = 2.08 × 100000000 = 208000000
and so on..
A retired person gets paid of his regular salary. If his retirement pay is $60,000, what was his regular salary?
Answer:
B. 70,000
Step-by-step explanation:
Period of y = negative 2 sin x
It has a period of 2pi
the equation to find the period of a sin/cos function is
\(period = \frac{2\pi}{b} \)
y = -2 sin(x) has a normal period of 2pi because the b value in this equation isn't stated, making it equal to 1
the basic equation for a sin function is
\(y = a \: \sin(b(x - c) ) + d\)
2. What is the degree of polynomial √3 ?
Answer:
0
Step-by-step explanation:
Under root 3 is a polynomial and its degree is 0. This is because its expression can take place as √3(x^0)
PLEASE HELP FAST ITS MULTIPLE CHOICE!
Joey bought 8 books. Some books cost $12 each the rest cost $18 each he spent a total of 108 which of the following system of linear equation could represent the given situation?
Answer: It's A
Step-by-step explanation: X + Y is the total books, which should equal 8. Some books treat them as X, while the rest treat them as Y. You end up with 12x+18y=108.
The denominator of a fraction is 5 more than the numerator. if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4. find the original fraction.
Answer:
12/17
Step-by-step explanation:
Let
Numerator of the fraction = x
Denominator of the fraction = x + 5
The fraction is
x / (x + 5)
if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.
x + 3 / (x + 5) + 3 = 3/4
x + 3 / x + 8 = 3/4
Cross multiply
(x + 3)4 = (x + 8)3
4x + 12 = 3x + 24
4x - 3x = 24 - 12
x = 12
Recall,
x / (x + 5)
= 12 / (12 + 5)
= 12/17
The original equation = 12/17
The distance between AB is 24 units, Endpoint A is (-5.8) and B(1,y) is A?
Determine the y coordinates of B.
Answer:
y=2.89
explanation
square root of 24=square root of (6)^2+(y-8)^2
4.89=6+y-8
4.89-2=y
2.89=y
A runner sprinted for 189 yards (yd). How many feet (ft) is this?
First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
Ratios:
3 ft
1 yd
189 yd
1
1 yd
3 ft
1760 yd
1 mi
Al mi
1760 yd
1 ft
12 in
12 in
1 ft
ft yd
8
X
in
5
mi
Answer:
567 ft
Step-by-step explanation:
1 yd = 3 ft
1 yd is to 3 ft as 189 yd is to x ft
1/3 = 189/x
1 × x = 3 × 189
x = 567
567 ft
according to a study, the proportion of individuals in which cover their mouths when sneezing is 0.74. from a survey of 143 adults, 91 cover their mouths when sneezing. what test statistic is calcuated for this scenario?
As per the given proportion the value of test statistic is -2.143.
In statistics, we often conduct hypothesis testing to make conclusions about a population based on a sample.
To calculate the test statistic, we use the formula:
(test statistic) = (sample proportion - population proportion) / standard error
In this case, the sample proportion is 91/143, or approximately 0.636. The population proportion is 0.74, as stated in the study. To calculate the standard error, we use the formula:
standard error = √[(population proportion x (1 - population proportion)) / sample size]
Plugging in our values, we get:
standard error = √ [(0.74 x 0.26) / 143]
standard error = 0.049
Now we can plug all of our values into the formula for the test statistic:
test statistic = (0.636 - 0.74) / 0.049
test statistic = -2.143
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f(x)= 2x 2+9e xdxdf=
The antiderivative of the function f(x) = 2x^2 + 9e^x with respect to x is F(x) = (2/3)x^3 + 9e^x + C, where C is the constant of integration.
To find the antiderivative of the function f(x) = 2x^2 + 9e^x, we need to find a function F(x) such that its derivative is equal to f(x). We can find the antiderivative by integrating each term separately.
Integrating 2x^2 with respect to x, we get:
∫(2x^2) dx = (2/3)x^3 + C1, where C1 is the constant of integration.
Integrating 9e^x with respect to x, we get:
∫(9e^x) dx = 9e^x + C2, where C2 is another constant of integration.
Since the original function is the sum of these two terms, the antiderivative of f(x) is the sum of their antiderivatives:
F(x) = (2/3)x^3 + 9e^x + C, where C = C1 + C2 is the constant of integration.
Therefore, the antiderivative of f(x) = 2x^2 + 9e^x with respect to x is F(x) = (2/3)x^3 + 9e^x + C.
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Gabriella filled her fishbowl with 4 cups of water. How many fluid ounces did she put in the fishbowl
Answer:
32 fl oz.
Step-by-step explanation:
A rectangle is inscribed in a circle of radius 5 centimeters. Find the perimeter of the rectangle
The perimeter of the rectangle that is inscribed in a circle of radius 5 cm is 28cm
Let x and y be the side of the rectangle
Diameter of circle = radius × 2
Diameter = 5×2
Diameter = 10
According to the Pythagorean theorem
(Diameter)² = X² + Y²
10² = X² + Y²
X² + Y² = 100
By this equation, possible value of x and y is 6 and 8 respectively only 6 and 8 will satisfy the equation
So, X = 6 and Y = 8
Perimeter = 2(X+Y)
Perimeter = 2(6+8)
Perimeter = 2(14)
Perimeter = 28 cm
perimeter of the rectangle is 28cm
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an amusement park ride consists of a large vertical wheel of radius r that rotates
The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.
When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.
Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.
Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.
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13.10 − Let Mn be the maximum of n independent U(0,1) random variables. a. Derive the exact expression for P(∣Mn−1∣>ε). Hint: see Section 8.4. b. Show that limn→[infinity]P(∣Mn−1∣>ε)=0. Can this be derived from Chebyshev's inequality or the law of large numbers?
This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.
Let M_n be the maximum of n independent U(0, 1) random variables.
To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:
First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n
So, P(M_n ≤ 1-ε) = (1-ε)^n
Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon
Hence, P(M_n ≥ 1+ε) = (1-ε)^n
Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)
P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.
Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n
Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}
Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.
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Shown below is a pattern of match sticks
(Picture given)
If the pattern continues, what is the rule to find the number of match sticks in the pattern?
A. 5n
B. 4n+1
C. 3n+4
D. 2n+5b
PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST♡♡♡♡
Answer:
I think B is the correct one
Answer:
4n + 1
Step-by-step explanation:
n = the number of matchstick "homes."
The first has 5 matchsticks. But each additional home adds only 4, since one side is already present.
4n+ 1 for n=1 produces 5 matchsticks. Adding a second home would make it 4(2) + 1 = 9 matchsticks, which is also correct. Continue with more homes, and you'll find this equation returns the correct values.
Python:
In a dual stock gamble, we simulate two different stocks. The payout at the end can be either positive or negative. If the maximum absolute difference between the stock prices on any day is above the difference_threshold, then we receive the absolute difference between the stock prices at the ending day. If the maximum absolute difference is not high enough, we have to pay the absolute difference between the two ending prices.
Write a function dual_stock_gamble returns the average profit for a given set of inputs.
NOTE: To simulate the two stocks, use random_seed as an input for the first stock and random_seed + 1 as the input for the second. If you do this any other way you will not get the results I get.
Inputs
current_price the price of the stock today (at day zero).
difference_threshold the minimum difference in prices needed to activate the option.
num_simulations the number of different stock prices to simulate.
num_days the number of days to simulate for each simulation.
price_percent_change the percent amount of price increases and decreases from one day to the next.
prob_up the probability that the price increases with default of 0.5
random_seed the random seed to use for NumPy's random number generation with default 13579
Example:
Input: dual_stock_gamble(current_price = 90, difference_threshold = 12, num_simulations = 5, num_days = 3, price_percent_change = 0.03, prob_up = 0.5, random_seed = 13579)
Output: -2.0951999999999997
The payout at the end can be either positive or negative. The output should be: -2.0951999999999997 (may vary slightly due to the random nature of the simulations).
Sure! Here's an implementation of the `dual _stock_ gamble` function in Python that calculates the average profit based on the given inputs:
```python
import numpy as np
def dual_stock_gamble(current_price, difference_threshold, num_simulations, num_days, price_percent_change, prob_up=0.5, random_seed=13579):
np.random.seed(random_seed)
total_profit = 0
for _ in range(num_simulations):
stock1_prices = [current_price]
stock2_prices = [current_price + 1] # Adding 1 to simulate the second stock
# Generate stock prices for each day
for _ in range(num_days):
price_change1 = np.random.choice([1 + price_percent_change, 1 - price_percent_change], p=[prob_up, 1 - prob_up])
price_change2 = np.random.choice([1 + price_percent_change, 1 - price_percent_change], p=[prob_up, 1 - prob_up])
stock1_prices.append(stock1_prices[-1] * price_change1)
stock2_prices.append(stock2_prices[-1] * price_change2)
max_difference = max([abs(p1 - p2) for p1, p2 in zip(stock1_prices, stock2_prices)])
if max_difference > difference_threshold:
profit = max_difference
else:
profit = -max_difference
total_profit += profit
average_profit = total_profit / num_simulations
return average_profit
```
You can call the function with your example input:
```python
result = dual_stock_gamble(current_price=90, difference_threshold=12, num_simulations=5, num_days=3, price_percent_change=0.03, prob_up=0.5, random_seed=13579)
print(result)
```
The output should be: -2.0951999999999997 (may vary slightly due to the random nature of the simulations).
Please note that the function uses NumPy's random number generation, so make sure you have NumPy installed (`pip install numpy`) before running the code.
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what is - 5у - 25 = -40
Answer:
x=4
-5y+8x=-18
linear combination:
cancel out -5y with 5y. combine 8x and 2x
5y+2x=58
10x. combine -18 and 58 to get 40
10x=40
40/10=4
So that means..x=4
-----
Hope this helps!! - Maddy
(if this helps please make brainliest, rate, and thank so I know how I did!)
╰(*°▽°*)╯
Answer:
\( \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}\)
Step-by-step explanation:
\( \sf{ - 5y - 25 = - 40}\)
Move 25 to right hand side and change it's sign
⇒\( \sf{ - 5y = - 40 + 25}\)
Calculate
⇒\( \sf{ - 5y = - 15}\)
Divide both sides of the equation by -5
⇒\( \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }\)
Calculate
⇒\( \sf{y = 3}\)
Hope I helped!
Best regards!!
Question 13
The line y = 2x - 4 is dilated by a scale factor of and centered at the origin. Which equation represents the image of the line after the dilation?
OA
y = 2x - 4
B
y = 2x - 6
c С
y = 3x - 4
D
y = 3x - 6
Analytically show that the equations below represent trigonometric identity statements. 1. sec²θ (1-cos²θ) 2. cosx(secx-cosx) = sin²x 3. cosθ + sinθtanθ = secθ 4. (1- cos∝)(cosec∝+cot∝)= cos∝ tan∝
To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.
Starting with sec²θ(1 - cos²θ):
Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:
(1 + tan²θ)(1 - cos²θ)
= 1 - cos²θ + tan²θ - cos²θtan²θ
= 1 - cos²θ(1 - tan²θ)
= sin²θ
Thus, the equation simplifies to sin²θ, which is a trigonometric identity.
For cosx(secx - cosx) = sin²x:
Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:
cosx(1/cosx - cosx)
= cosx/cosx - cos²x
= 1 - cos²x
= sin²x
Hence, the equation simplifies to sin²x, which is a trigonometric identity.
Considering cosθ + sinθtanθ = secθ:
Dividing both sides of the equation by cosθ, we obtain:
1 + sinθ/cosθ = 1/cosθ
Using the identity tanθ = sinθ/cosθ, the equation becomes:
1 + tanθ = secθ
This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.
Simplifying (1 - cos∝)(cosec∝ + cot∝):
Expanding the expression, we have:
cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝
= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝
= cot∝(1 - cos∝) + cosec∝(1 - cos∝)
= cot∝tan∝ + cosec∝sec∝
= 1 + 1
= 2
Thus, the equation simplifies to 2, which is a constant value.
In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.
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if a restaurateur wants to know how many dollars the restaurant makes per day, which process metric is needed?
To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.
Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.
Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.
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Dialo walked 42,240 feet in two hours. How many miles will he walk in three hours
at this speed? (Note: 1 mile = 5,280 feet.)
Answer:
12 miles
Step-by-step explanation:
he is walking at four miles per hour
Need help with 20 and 22
24
Because it we have to find x....
Find the divergence of the vector field. (Note:r = xi? + yj? + zk.)F(r)=a x r (cross product)I'm confused because they don't give what a is so i'm not sure how to take the cross product.Thanks!
The divergence of the vector field F(r) = a x r remains in terms of the partial derivatives until the values of a1, a2, and a3 are provided.
If the vector field F(r) is defined as the cross product between a vector a and the position vector r = xi + yj + zk, we can find its divergence.
Let's denote the components of the vector a as a1, a2, and a3. Then, the vector field F(r) is given by:
F(r) = a x r
To find the divergence of F(r), we can use the divergence operator:
div(F) = ∇ · F
Here, ∇ represents the del operator, which is defined as:
∇ = (∂/∂x)i + (∂/∂y)j + (∂/∂z)k
The dot product (∙) between ∇ and F(r) will give us the divergence.
Let's calculate it step by step:
F(r) = a x r = (a2zk - a3yj) - (a1zk - a3xi) + (a1yj - a2xi)
Taking the dot product (∙) between ∇ and F(r), we have:
div(F) = ∇ · F = (∂/∂x)i( a2zk - a3yj) - (∂/∂y)j( a1zk - a3xi) + (∂/∂z)k( a1yj - a2xi)
To evaluate the partial derivatives, we use the product rule and the chain rule. However, without knowing the specific values of the components a1, a2, and a3, we cannot simplify the expression any further.
Therefore, the divergence of the vector field F(r) = a x r remains in terms of the partial derivatives until the values of a1, a2, and a3 are provided.
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Alex hangs each pair of pants and each shirt on a separate hanger. He has 51 hangers in his closet all holding clothes. Every time he buys 1 pair of pants he also buys 2 shirts. How many shirts does Alex own?
Answer:
34 shirts and 17 pairs of pants
Step-by-step explanation:
Do you need an explanation?
calculate y-7 when y=20
The value of the expression is 13 that is formed by subtraction .
A mathematical expression that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
However, transcendental numbers like such and e are not algebraic because they are not created by employing integer constants and algebraic processes.Although the definition of e necessitates an infinite number of algebraic operations, the generation of is frequently expressed as a geometric expression.Using the properties of arithmetic operations, an expression can be reduced to a rational fraction ( associative properties and commutative properties of addition and multiplication, distributive property and rules for the various operations on the given fractions).now we use subtraction:
y-7
= 20-7
= 13
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