Need help completing this

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Answers

Answer 1

Answer:

Answers are in green. Good luck!

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Answer 2

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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Related Questions

What is the solution to this inequality?

42.06 = 21.33 + 3x

Answers

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).​

Answers

Answer: y = x^2 - 2x - 8

Step-by-step explanation:

WILL GIVE BRAINLIESTWrite an equation of the parabola that passes through the points (1, 9), (0, 8),

As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.

Answers

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.

Instructions: Find the missing side. Round your answer to the nearest tenth.

Answers

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​

Answers

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.

Order the time periods from oldest to youngest.

Answers

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?

A retired person gets paid of his regular salary. If his retirement pay is $60,000, what was his regular

Answers

Answer:

B. 70,000

Step-by-step explanation:

Period of y = negative 2 sin x

Answers

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 ?​

Answers

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)

The expression is constant, which means it can be rewritten with a factor of x⁰
. The degree is the largest exponent on the variable.

= 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?

PLEASE HELP FAST ITS MULTIPLE CHOICE! Joey bought 8 books. Some books cost $12 each the rest cost $18

Answers

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.

Answers

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.

Answers

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

A runner sprinted for 189 yards (yd). How many feet (ft) is this?First fill in the blank on the left

Answers

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?

Answers

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=

Answers

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

Answers

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

Answers

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

Answers

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?

Answers

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♡♡♡♡​

Shown below is a pattern of match sticks(Picture given)If the pattern continues, what is the rule to

Answers

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

Answers

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​

Answers

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

Answers

D is the correct answer

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∝

Answers

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?

Answers

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.)

Answers

Answer:

12 miles

Step-by-step explanation:

he is walking at four miles per hour

Need help with 20 and 22

Need help with 20 and 22

Answers

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!

Answers

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?​

Answers

Answer:

34 shirts and 17 pairs of pants

Step-by-step explanation:

Do you need an explanation?

calculate y-7 when y=20

Answers

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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Other Questions
specific immunity is ______ meaning that it is acquired after a(n) ______ event. 4. (10 pts) Glycolysis. Suppose you've discovered a mutant organism whose glycolytic pathway was shorter because of the presence of a new enzyme catalyzing the conversion of glyceraldehyde 3-phosphate (GAP) to 3-phosphoglycerate (3PG), thereby creating a "shortcut". GAP + H2O + NAD 3PG + NADH + H+ a. Compared to the wild-type organism, how would the net production of ATP be affected via the anaerobic pathway? Explain your answer, and give the net yield of ATP molecules per glucose in your explanation. b. Compared to the wild-type organism, how would the net production of ATP be affected via the aerobic pathway (including the citric acid cycle, electron transport and oxidative phosphorylation)? Explain your answer, and give the net yield of ATP molecules per glucose in your explanation.5. (10 pts) The Citric Acid Cycle. a. Starting with pyruvate, list the complete reactions for each step in the citric acid cycle (including the preparatory step). Use these reactions to derive the complete (net) reaction for the citric acid cycle. b. Add the net reaction for the citric acid cycle (multiplied by 2) to the net reaction for glycolysis. What is the combined reaction? Why did we multiply the net reaction for the citric acid cycle by 2 in our derivation? 15. (05.07 MC)Find the horizontal or oblique asymptote of f(x) = if given f(x)=2x+5 what is f(x)=17 Determine x and x from the given parameters of the populationand sample size.=72, =21, n=49 a reference group is a group whose presumed perspectives or values are being used by an individual as the basis for his or her current behavior. for many years, ad spending in the united states has averaged approximately _________ percent of the country's gross domestic product. Choices: trainer, reveal, afloat, speed, staircase, oatmeal, increase, croak, sleeve, domain, beneath, sneak, compound, sheep, praise, repeat, boast, and discount. (there is only 8 questions so u only need to use 8 they put a lot to make the question confusingquestions:What is the ______ limit on this highway?My parent's_____ made me feel good about myselfThis_____ includes some strange chemicalHe did not______ when he won the gamewould you please_____ the question?(this is obviously repeat)The raft stayed_____ because it was filled with air.Please_____ the oven temperature What is the value of x? which of the following scenarios best illustrates delegated discretionary authority? What might readersget out of readingstories about peoplefalling in love-andlosing that love Hey!! Can anyone PLZ help the picture is down below .Thank you!! which of the following is not an example of multi-factor authentication?group of answer choicesusing your voice-print to access your phoneentering a password and a chip cardentering a password and using a fingerprint readerreceiving a single use password on your registered personal devicea card swipe combined with an iris scan Who is the father of Science? Time vs Concentration data in a Batch reactort(min)t(min) 0, 3, 5, 8, 10, 12, 15, 17.5.[A]molL[A]molL 4, 2.89, 2.25, 1.45, 1.0, 0.65, 0.25, 0.07.Determine the reaction order,, and the specific reaction rate constant,k, using any method of your choice Hybrid and electric cars have gained in popularity in the last decade as a consequence of high gas prices. But their great gas mileages often come with higher car prices. There may be savings, but how much and how long before those savings are realized? Suppose you are considering buying a Honda Accord Hybrid, which starts around $31,665 and gets 48 mpg. A similarly equipped Honda Accord will run closer to $26,100 but will get 31 mpg. How long would it take for the Prius to recoup the price difference with its lower fuel costs, assuming you drive 800 miles per month? First, use the following formula for gas savings, where GM stands for gas mileage, to determine how far you will need to drive to recoup the cost difference in the vehicles. Use the known values and the average price of gas in your area to write a specific equation. $Gas is $4.35 Determine the type of equation that results, and then solve it algebraically. $Saved = $Gas x (distance driven) x ( GM now GM improved) Choose a Tesla (electric car) that has NO gas cost and compare it in a similar way to a gas-powered cari, the Honda Accord. How long will it take to recoup the price difference for the miles you drive per month? Assume you still drive 800 miles a month. Be sure to consider TOTAL COST of each car. Explain what you thought TOTAL COST meant in the previous question. Because of these results, it is reasonable to be concerned that the benefits of a hybrid car might not outweigh the initial higher cost. How efficient would the hybrid need to be in order to recoup a $3,000 price difference within 10 years if the standard vehicle gets 25 mpg? Do you think corruption/abuse of power is something worth protesting (for or against)? Explain. Complete the table by recording three actions of the Intolerable Acts. Then, take the point of view of a colonist, and describe how each action might hurt you. Exercise 2 Circle the appositive or appositive phrase in each sentence. My friend Rachel came to see me march in the band. Order from least to greatest (ascending order) each of the elements of the following sets of real numbers: a. {-3, -10, 0, 5, 1, -7, -5, 7,10, -1, 3} b. {6, 1, -1, 0, -6, 5, -8, -5, 3, 8, -3} c. {0,-1, 1, 3,1,3,1} d. {-1, 0, 1, -2, 3, , 2, 4, 1, 5, 3,4,5,} 2 and. {-2,-[infinity],0,-6,-12, 2, 1,[infinity], 6,-9, 10,3}