any one help in the question ​

Answer:

Divide 6 miles by 0.5 hour:  6/0.5 = 12 miles per hour.

Step-by-step explanation:

The average speed must she rides her bike to get there on time will be 12 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

In a half-hour, Sarah is meeting her friends at the lake, 6 miles from her house.

The average speed must she rides her bike to get there on time will be

S = 6 / (1/2)

S = 6 x 2

S = 12 miles per hour

The average speed must she rides her bike to get there on time will be 12 miles per hour.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Answer:

corresponding angles

Answer:

Three possible amounts are: 35+73+77

Step-by-step explanation:

The total amount of money the brother withdrew is 185 because 185 is 20 more than 165 the total of money Julie withdrew. Any three numbers that add up to 185 are possible answers.

Answer: x=no solution

Step-by-step explanation:

Answer:

5l² + 25ln

Step-by-step explanation:

Step 1: Write expression

4l(10n - 3m + 2l) - 3l(l - 4m + 5n)

Step 2: Distribute

40ln - 12lm + 8l² - 3l² + 12lm - 15ln

Step 3: Combine like terms

5l² + 25ln

Answer:

=a^32

Step-by-step explanation:

(a^8)^4= a^8.4

=a^8.4

Answer:

35.8 I just used a calculator to find the answer

(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. (b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials.

(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. Assuming each trial represents a tire sold, we can calculate the refund amount for each trial based on the difference between the tire's lifetime and 30,000 miles. By averaging the refund amounts over the trials, we can determine the average cost of the promotion. Let's simulate at least 1,000 trials to obtain a reliable estimate.

(b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials. For each trial, we calculate the refund amount as we did in part (a). Then, we count the number of trials where the refund amount exceeds $25 and divide it by the total number of trials. This will give us the probability of refunding more than $25. By simulating at least 1,000 trials, we can obtain a reasonably accurate estimation of the probability.

Due to the constraints of the current text-based interface, I'm unable to perform the simulations and calculations required to provide you with the specific numerical answers. However, you can apply the described methodology to conduct the simulations using programming or spreadsheet software to obtain the desired results.

Learn more about probability here: brainly.com/question/31828911

#SPJ11

Answer:

-4 is the y intercept. You know this because it is the only one without a variable.

The slope is -1.

Step-by-step explanation:

Answer:

4⁶

Step-by-step explanation:

Exponent Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]

4⁹/4³ = 4⁹⁻³ = 4⁶

The speed of the second runner is x = 40/9 miles per hour. The speed of the first runner is (4/5)x = (4/5)*(40/9) = 16/9 miles per hour.

Let the second runner's speed be x. Then the first runner's speed is 4/5 * x = (4/5)x.Therefore, the speed of the first runner is (4/5)x and the speed of the second runner is x.After running for 30 minutes, the first runner would have covered a distance of (4/5)x * 1/2 = (2/5)x miles.

The second runner would have covered a distance of x * 1/2 = (1/2)x miles. Since the runners are 2 miles apart, we can write an equation:(2/5)x + (1/2)x = 2. Multiplying both sides of the equation by 10 to eliminate fractions, we get: 4x + 5x = 40.

Simplifying the equation, we get: 9x = 40. Dividing both sides of the equation by 9, we get: x = 40/9. Therefore, the speed of the second runner is x = 40/9 miles per hour. The speed of the first runner is (4/5)x = (4/5)*(40/9) = 16/9 miles per hour.

For more question on speed

https://brainly.com/question/553636

#SPJ8

Answer:

Sum of fractions [tex]=\frac{14}{9}[/tex]

Step-by-step explanation:

Given numbers are [tex]-3,-2,-1,0,1,2,3,4,5[/tex]

To find: fraction of the given numbers that are natural numbers, whole numbers, negative integers and sum of all these fractions

Solution:

Natural numbers are [tex]1,2,3,4,5[/tex]

Fraction of the given numbers that are natural numbers[tex]=\frac{5}{9}[/tex]

Whole numbers are [tex]0,1,2,3,4,5[/tex]

Fraction of the given numbers that are whole numbers[tex]=\frac{6}{9}=\frac{2}{3}[/tex]

Negative integers are [tex]-3,-2,-1[/tex]

Fraction of the given numbers that are negative integers[tex]=\frac{3}{9}=\frac{1}{3}[/tex]

Sum of fractions [tex]=\frac{5}{9}+\frac{2}{3}+\frac{1}{3}=\frac{5+6+3}{9}=\frac{14}{9}[/tex]

Answer:

3x+12=20 is the equation

Step-by-step explanation:

Answer:

x= 2.666

Step-by-step explanation:

3x+12=20 is the equation

= 3x + 9x = 6x + 42

= 3x + 9x - 6x = 42 ( transposing +6x from LHS to RHS changes +6x to -6x )

= 12x - 6x = 42

= 6x = 42

= x = 42 ÷ 6 ( transposing ×6 from LHS to RHS changes ×6 to ÷6 )

= x = 7

Let us check whether we have found out the correct value of x or not by placing 7 in the place of x :

= ( 3 × 7 ) + ( 9 × 7 ) = 6 × 7 + 42

= 21 + 63 = 42 + 42

= 84 = 84

= LHS = RHS

Hence proved we have derived the correct value of x .

Therefore , the value of x = 7 .

Answer: There will be 30 tiles in each row.

Step-by-step explanation:

To find the number of tiles in each row, we need to determine the room's dimensions and the size of each tile. Given that the area of the square room is 225 square feet, we know that the room is a perfect square. Let's denote the length of one side of the square as "x" feet.

We can calculate the length of one side of the square by taking the square root of the area:

x = √225 = 15 feet

Since each tile is 6 inches by 6 inches, we need to convert the measurements to feet: 6 inches = 6/12 = 0.5 feet

To determine the number of tiles in each row, we divide the length of the side of the room by the length of each tile:

Number of tiles in each row = (Side length of the room) / (Length of each tile)

Number of tiles in each row = 15 feet / 0.5 feet = 30 tiles

To learn more about tiles in each row

https://brainly.in/question/4696061

Answer:

B, look at the size compared to the others, it's DEFINITLY not d or c

Answer:

162

Step-by-step explanation:

Step 1: Define

x⁴ + 9x²

x = -3

Step 2: Substitute and Evaluate

(-3)⁴ + 9(-3)²

81 + 9(9)

81 + 81

162

Answer:

162

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

0.008 * 10 = 0.08 for every zero behind the one in ten it will go up for ex. > 567 * 10 = 5670 > 729 * 1000 = 729,000, the other answer also explains it pretty well

Answer:

10

Step-by-step explanation:

If your familliar with scientific notation, this should be pretty simple. Each time you multiply by 10, you remove a decimal place, making the number larger. Divide by 10, and vice versa. Since your only getting rid of one decimal place from 0.008 to 0.08, you only need to multiply by 10

The elasticity of expenditure is given by;e = δY/δX * X/Ywhere δY/δX is the slope of the demand curve and can be obtained by taking the derivative of the demand curve. X/Y is the expenditure share of X.In the given equation:

Y = 7.6182 + 0.08145X, we can rearrange to give X in terms of Y; X = (Y - 7.6182) / 0.08145Hence, expenditure share of X (X/Y) = (262.5 - 7.6182) / 29 = 8.9743.

Now we need to find δY/δX, by taking the derivative of the demand equation above, we get;δY/δX = 0.08145*Hence, the elasticity of expenditure is;e = δY/δX * X/Y = 0.08145*(262.5/29) = 0.731Conclusion:The value of elasticity of expenditure obtained above is less than one (0.731 < 1). This implies that the demand for X is inelastic. Hence, a 1% increase in the price of X will cause less than 1% decrease in the quantity demanded. Conversely, a 1% decrease in the price of X will cause less than 1% increase in the quantity demanded.

The elasticity of expenditure (E) is a metric used to measure the sensitivity of the quantity demanded of a good or service to a change in the price of that good or service. If E > 1, then the good or service is considered elastic. This means that a small change in price can cause a significant change in the quantity demanded of the good or service.

If E = 1, then the good or service is considered to have unit elasticity. This means that a change in price will cause a proportional change in the quantity demanded. If E < 1, then the good or service is considered inelastic. This means that a change in price will cause a relatively small change in the quantity demanded. In the given model above, the elasticity of expenditure was computed as 0.731. Since this value is less than one, it implies that the demand for the good is inelastic. A 1% increase in the price of the good will cause a less than 1% decrease in the quantity demanded. Conversely, a 1% decrease in the price of the good will cause less than a 1% increase in the quantity demanded.

To know more about  elasticity of expenditure:

brainly.com/question/30455869

#SPJ11

The degree of elasticity of substitution is   1/4. The correct answer is A.

The degree of elasticity of substitution measures the responsiveness of the substitution between two inputs (in this case, labor and capital) in the production function.

It is calculated using the formula:

E = - (∂ln(K/L)) / (∂ln(MPL/MPK))

where E is the elasticity of substitution, K is capital, L is labor, MPL is the marginal product of labor, and MPK is the marginal product of capital.

In the given production function Q = L¹/4 + K1/4, the partial derivatives required to calculate the elasticity of substitution are:

∂ln(K/L) = (1/4) * (1/K - 1/L)

∂ln(MPL/MPK) = (1/4) * (1/(LQ) - 1/(KQ))

After simplifying the expressions, we find:

E = - [(1/K - 1/L) / (1/(LQ) - 1/(KQ))]

Since Q = L¹/4 + K1/4, the denominator can be rewritten as:

1/(LQ) - 1/(KQ) = 1/(L(L¹/4 + K1/4)) - 1/(K(L¹/4 + K1/4))

                = 1/(L^(5/4)) - 1/(K^(5/4))

Substituting this back into the equation for E, we have:

E = - [(1/K - 1/L) / (1/(L^(5/4)) - 1/(K^(5/4)))]

By simplifying further, we find that the degree of elasticity of substitution is equal to 1/4.

Learn more about  partial derivatives here:  

brainly.com/question/28751547

#SPJ11

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

Learn more about means from

https://brainly.com/question/1136789

#SPJ11

We are given four functions, and we need to determine the domain for each of them. The functions are as follows: a)[tex]f(x) = x^2 - 3x^4[/tex], b) [tex]f(x) = (x-3)/(x^2 - 10)[/tex], c) [tex]M(x) = √(√(x-5)/(x-3))[/tex], d) g(x) = [tex]e^{(2x-5)/(2x-15)[/tex]. In this problem, we will analyze each function to identify its domain.

Explanation: To find the domain of a function, we need to consider any restrictions on the variable 'x' that would make the function undefined.

a) For the function[tex]f(x) = x^2 - 3x^4[/tex], there are no specific restrictions or denominators that would cause the function to be undefined. Therefore, the domain of f(x) is all real numbers.

b) In the function [tex]f(x) = (x-3)/(x^2 - 10)[/tex], the denominator should not be equal to zero. Thus, we need to exclude any values of 'x' that would make [tex]x^2 - 10 = 0[/tex]. Solving this equation, we find x = ±√10. Therefore, the domain of f(x) is all real numbers except x = ±√10.

c) For the function M(x) = √(√(x-5)/(x-3)), the expression inside the square roots must be greater than or equal to zero to avoid taking the square root of a negative number. Additionally, the denominator (x-3) should not equal zero. Solving these conditions, we find that the domain of M(x) is x ≥ 5 and x ≠ 3.

d) In the function g(x) = [tex]e^{(2x-5)/(2x-15)[/tex], the denominator (2x-15) should not be equal to zero. Thus, we need to exclude x = 7.5 from the domain. Apart from that, there are no other restrictions. Therefore, the domain of g(x) is all real numbers except x = 7.5.

In summary, the domains of the given functions are as follows:

a) f(x): All real numbers

b) f(x): x ≠ ±√10

c) M(x): x ≥ 5 and x ≠ 3

d) g(x): x ≠ 7.5

Learn more about real numbers on:

https://brainly.com/question/31715634

#SPJ11

Answer:

90 customers

Step-by-step explanation:

Total shift time  = 2 hours

1 hours = 60 minutes

Total shift time minutes = 2*60 minutes = 120 minutes

Average Time taken to serve 1 customer = 1 minute 20 seconds

lets convert  1 minute 20 seconds in fraction

60 seconds = 1 minute

20 seconds  = 20/60 minutes = 1/3 minutes

Thus,

Average Time taken to serve 1 customer = 1 minute + 1/3 minutes = 4/3 minutes

Lets assume she served x customer in her 2 hour shift

total time taken to serve x customer =x*Average Time taken to serve 1 customer = 4x/3 minutes

Given that she the customers for her shift time which is 120 minutes

4x/3 minutes = 120 minutes

x = 120*3/4 = 90

Thus,

Kimiko served 90 customers and this is the number of customer which came through the drive thru during those 2 hours.

The socially optimal level of output in the Troubled Waters region is 7.5 units, and the corresponding price is $5. The consumer surplus at this level of output is $37.5.

To calculate the socially optimal level of output, we need to find the point where marginal cost (MC) equals the inverse demand curve (P). In this case, MC(Q) = 5 and P(Q) = 10 - Q. Setting these equal to each other, we have:

5 = 10 - Q

Solving for Q, we find Q = 5. The socially optimal level of output is thus 5 units.

To find the corresponding price, we substitute the value of Q into the inverse demand curve:

P = 10 - 5 = 5

So the socially optimal price is $5.

Consumer surplus is the difference between what consumers are willing to pay for a good and what they actually pay. To calculate consumer surplus, we need to integrate the area under the demand curve from 0 to the socially optimal quantity (Q = 5). Using the formula for the area under the curve, we find:

Consumer Surplus = ∫[0,5] (10 - Q) dQ

= [10Q - (Q^2/2)] [0,5]

= [(10*5) - (5^2/2)] - [(10*0) - (0^2/2)]

= (50 - 12.5) - (0 - 0)

= 37.5

Therefore, the consumer surplus at the socially optimal level of output is $37.5.

Learn more about curve here: brainly.com/question/31389331

#SPJ11

(a) We can use the exponential probability density function to calculate the probabilities:

(i) The probability that a bulb fails within the first 300 hours can be found by integrating the density function from 0 to 300:

P(failure within 300 hours) = ∫[0 to 300] (1/1000) * e^(-t/1000) dt

This integral can be solved to get the probability.

(ii) The probability that a bulb burns for more than 600 hours can be found by subtracting the probability of failure within 600 hours from 1:

P(burns for more than 600 hours) = 1 - P(failure within 600 hours)

Again, this probability can be calculated by integrating the density function from 600 to infinity.

(b) The median lifetime of the lightbulbs is the value of t for which the cumulative distribution function (CDF) equals 0.5. In other words, we need to find the value of t such that ∫[0 to t] (1/1000) * e^(-x/1000) dx = 0.5.

Solving this equation will give us the median lifetime of the lightbulbs.

Note: To provide specific numerical answers for parts (i), (ii), and (b), the exact values and calculations need to be performed using the given exponential probability density function.

(a) P(t > 600) = 1 - P(t < 600) = 1 - 0.00368 = 0.99632

(b) t = 1000 ln(2) = 693.14 hours

Learn more about probability and conditional probability here:

https://brainly.com/question/15036299

#SPJ11

Answer:

y = 1/3x + 10/3  

I hope this helped

Step-by-step explanation:

Answer:y = 1/3x + 10/3

Step-by-step explanation: got it right on edge

Answer:

4 HOPE IM NOT WRONG O-O

Step-by-step explanation: