Solve by using literal equation k=1/2mv^2

Answer:

0.18

Step-by-step explanation:

0.36x1/2=0.18 or 0.18x2=0.36

Answer:

Step-by-step explanation:

2a = 0.36

a = 0.36 / 2

a = 0.18

Hope this helps

plz mark as brainliest!!!!!!

Answer:

a. $70.43

b. 23.43 + 13.92 + 32.98 = t (UNSURE)

Step-by-step explanation:

Since Mrs. Thomas is driving 231 miles using 23 miles per gallon, let's start by dividing 231 by 23

\(\frac{231}{23} = 10.043....\)

We need to round 10.043... to 11 because you can't get part of a gallon.

Now, we need to multiply 2.13 by 11 to get the total amount of money for gasoline.

\(11 * 2.13 = 23.43\)$

We also have the aditional meal expenses, which are $13.92 and $32.98.

We can use an equation to solve. Our total amount will be represented by t.

\(23.43 + 13.92 + 32.98 = t\)

\(t = 70.43\)

Hope this helps! Part b seems a bit confusing. I'll fix my answer if you could clarify, like if I do "communative property" or write equation. :))

Given that Lush Gardens Co. bought a new truck for $56,000. It paid $6,160 of this amount as a down payment and financed the balance at 4.50% compounded semi-annually.

If the company makes payments of $2,100 at the end of every month, we need to find out how long will it take to settle the loan.To calculate the time it takes to settle the loan, we have to follow the below mentioned

steps:1. We need to determine the amount of the loan as below:Loan amount = Cost of the truck - Down payment= $56,000 - $6,160= $49,8402. We know that the loan is compounded semi-annually at a rate of 4.50%.

Therefore, the semi-annual rate will be= (4.5%)/2= 2.25%3. We have to determine the number of semi-annual periods for the loan. We can calculate it as follows:We know that n= (time in years) x (number of semi-annual periods per year)

The time it takes to settle the loan = n = (Time in years) x (2)Therefore,Time in years = n/24We can calculate the number of semi-annual periods using the below mentioned formula:Present value of loan = Loan amount(1 + r)n

Where r is the semi-annual interest rate = 2.25%,n is the number of semi-annual periods andPresent value of the loan = (Loan amount) - (Present value of annuities)

We know that, PV of Annuity= PMT x [1 - (1 + r)^-n]/rWhere PMT is the monthly payment amount of $2,100. Hence PMT= $2,100/nWhere n is the number of payments per semi-annual period.

Substituting the values, Present value of the loan = $49,840(1 + 2.25%)n= $49,840 - [$2,100 x {1 - (1 + 2.25%)^-24}/2.25%]

Now solving the above equation for n, we get:n = 46 semi-annual periods, which is equal to 23 yearsHence, it will take 23 years to settle the loan.

To know more about  interest rate, click here

https://brainly.com/question/28272078

#SPJ11

Answer:

Step-by-step explanation:

Total number of chips

Probability of a blue chip

The subsequent blue has same probability as the chip is replaced.

Probability of two blue chips is

Answer:

\(\sf \dfrac{9}{169}\)

Step-by-step explanation:

The bag has:

⇒ Total number of chips = 6 + 13 + 7 = 26

Probability Formula

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Probability of choosing a blue chip from the first draw:

\(\implies \sf P(Blue)=\dfrac{6}{26}\)

As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.

Therefore, the probability of taking out a blue chip in both draws is:

\(\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}\)

Based on the given data and a significance level of 0.1, there is not enough evidence to support the claim that the mean is less than 112. The test statistic does not fall in the rejection region. We fail to reject the null hypothesis.

To test the hypothesis that the mean is less than 112, with a significance level (alpha) of 0.1, we can perform a one-tailed t-test. Given a sample of 6 with a mean of 107.52 and a standard deviation of 15.68, we can calculate the test statistic and compare it to the critical t-value to make a decision.

To test the hypothesis, we will use a one-tailed t-test because we want to prove that the mean is less than 112. The null hypothesis (H0) is that the mean is equal to or greater than 112, while the alternative hypothesis (Ha) is that the mean is less than 112.

First, we calculate the test statistic using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / \(\sqrt{(sample size)}\))

Substituting the given values, we get:

t = (107.52 - 112) / (15.68 / \(\sqrt{(6)}\))

Calculating the value, we find:

t = -0.8864

Next, we need to determine the critical t-value. Since the significance level (alpha) is 0.1 and the test is one-tailed, we look up the critical t-value in the t-distribution table with a degree of freedom of (n-1), where n is the sample size. With a sample size of 6 and a one-tailed test, the critical t-value is approximately -1.943.

Comparing the test statistic (-0.8864) to the critical t-value (-1.943), we find that the test statistic does not fall in the rejection region. Therefore, we fail to reject the null hypothesis.

In conclusion, based on the given data and a significance level of 0.1, there is not enough evidence to support the claim that the mean is less than 112.

Learn more about null hypothesis here:

https://brainly.com/question/31816995

#SPJ11

The polynomial function with rational coefficients that has the given roots is P(x) = x² - 34x³ + 4336x² - 4896x + 41712.

To find a polynomial function with rational coefficients that has the given roots, we can use the conjugate pairs theorem.
Step 1:

Start by considering the conjugate pairs of the given roots. The conjugate of 17-4i is 17+4i, and the conjugate of 12+5i is 12-5i.

Step 2:

Multiply the conjugate pairs together to obtain two quadratic expressions.

(x - (17-4i))(x - (17+4i)) = (x - 17 + 4i)(x - 17 - 4i) = x²- 34x + 289.

Step 3: Multiply the two quadratic expressions together to obtain the desired polynomial function.

(x² - 34x + 289)(x² + 144) = x⁴ - 34x³ + 4336x² - 4896x + 41712.

Therefore, the polynomial function with rational coefficients that has the given roots is

P(x) = x⁴ - 34x³ + 4336x² - 4896x + 41712.

To more about coefficients e visit:

https://brainly.com/question/1594145

#SPJ11

The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

Learn more about correlation coefficient here:

brainly.com/question/29978658

#SPJ11

The correct answer is: A) The standard error decreases and the confidence interval narrows.

As the sample size increases, the standard error of the sample mean decreases. The standard error measures the variability or spread of the sample means around the true population mean. With a larger sample size, there is more information available, which leads to a more precise estimate of the true population mean. Consequently, the standard error decreases.

Moreover, with a larger sample size, the confidence interval for the true mean becomes narrower. The confidence interval represents the range within which we are confident that the true population mean lies. A larger sample size provides more reliable and precise estimates, reducing the uncertainty associated with the estimate of the population mean. Consequently, the confidence interval becomes narrower.

Therefore, statement A is the most accurate description of the change in the standard error of the sample mean and the size of the confidence interval for the true mean as the sample size increases.

To learn more about error

https://brainly.com/question/29462044

#SPJ11

Answer:

Explanation:

We were given the function:

We are to find the derivative of this function, we have it shown below:

Taxpayers in California may need to calculate the itemized deduction limitation when filing their state income taxes. This limitation sets a cap on the amount of itemized deductions that can be claimed, based on the taxpayer's federal adjusted gross income (AGI) and other factors.

Calculating the California itemized deduction limitation involves several steps and considerations to ensure compliance with the state tax regulations. To calculate the California itemized deduction limitation, taxpayers should first determine their federal AGI. This can be found on their federal tax return. Next, they need to identify any federal deductions that are not allowed for California state tax purposes, as these will be excluded from the calculation. Once the applicable deductions are determined, taxpayers must compare their federal AGI to the threshold specified by the California Franchise Tax Board (FTB). The limitation is typically a percentage of the federal AGI, and the percentage may vary depending on the taxpayer's filing status. If the federal AGI exceeds the threshold, the itemized deductions will be limited to the specified percentage. Taxpayers should consult the official guidelines and instructions provided by the California FTB or seek professional tax advice to ensure accurate calculation and compliance with the state tax regulations. Calculating the California itemized deduction limitation is an important step in accurately reporting and calculating state income taxes. It helps determine the maximum amount of itemized deductions that can be claimed, ensuring that taxpayers adhere to the tax laws and regulations of the state.

Learn more about  adjusted gross income (AGI)  here:

https://brainly.com/question/30320694

#SPJ11

Answer:

$3.2

Step-by-step explanation:

We have to determine the price per mile. To do this divide $0.60 by 15

$0.60 / 15 = 0.04

Cost of driving on an 80 mile stretch = price per mile x total miles ddriven

$0.04 x 80 = $3.2

Answer:

more info so i can help

Step-by-step explanation:

please

Answer:

D

Step-by-step explanation:

16 feet

it is the maximum value of vertex

Answer:

16 ft

Step-by-step explanation:

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

To learn more about Equation click the link

brainly.com/question/29657983

#SPJ4

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

Learn more about density at

brainly.com/question/15164682

#SPJ4

The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

To learn more about Sound :

https://brainly.com/question/30168219

#SPJ4

The bilinear form b is negative definite if any non-zero vector v = (x1, x2), the value of b(v, v) is negative. Since a < 0 and ac - b² > 0, the bilinear form of b is negative definite.

To show that the bilinear form b is negative definite, we need to show that for any non-zero vector v = (x1, x2), the value of b(v, v) is negative.

Let v = (x1, x2) be a non-zero vector. Then we have:

b(v, v) = x1² a + 2x1x2 b + x2² c

Since a < 0 and ac - b² > 0, we can write:

ac - b² = (-|b|)(|b|) + (ac - |b|²) < 0

where |b| = sqrt(b²).

Multiplying both sides of this inequality by x1² and x2², we get:

x1²(ac - b²) < 0 and x2²(ac - b²) < 0

Adding these two inequalities, we obtain:

x1²ac - 2x1x2b + x2²ac < 0

Therefore, b(v, v) = x1² a + 2x1x2 b + x2² c < 0, since ac - b² < 0 and v is a non-zero vector.

Know more about non-zero vector here:

https://brainly.com/question/24254277

#SPJ11

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

To know more about normal distribution  visit :

https://brainly.com/question/23418254

#SPJ11

Answer:  4, 24

Step-by-step explanation:

Set smaller number as x, and y be the larger number.

Through the questions, we can get the equation:

                                 y = 5x + 4

(5x + 4) + 6 = 3(x + 6)         [5x+4 is the first resulting number according to the                      question.]

5x + 10 = 3x + 18                [Minus 2 from both side]

2x + 10 = 18                        [Minus 10 from both side]

2x = 8                                 [Divide 2 from both side]

x = 4

Plug in x = 4 to the equation, y = 5x + 4

y = 5x + 4

  = 5(4) + 4

  = 24

The value of x and y are 4 and 24 respectively.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

here, it is given that :

One number is 4 more than 5 times another number.

Let smaller number be = x

and, larger number be = y

Then according to the question : y = 5x + 4

(5x + 4) + 6 = 3(x + 6)  

Opening bracket and multiply 3 :

5x + 4 + 6 = 3x + 18

arranging like terms :

5x - 3x = 18 - 10          

2x= 8

Divide both side by 2 :

x = 8/2

x = 4

Now, substitute x = 4 to the equation, y = 5x + 4

y = 5x + 4

 = 5(4) + 4

 = 24

Therefore, the value of x and y are 4 and 24 respectively.

more on algebraic expression at :

brainly.com/question/20660076

#SPJ2

Answer:

A. 3.7 meters

2.4 length• Width = 8.8 area

Width= 8.8/2.4=3.7

Step-by-step explanation:

If car travels 120 mph slower than plane, then speed of plane is 150 mph.

Let us denote the speed of plane as "P" mph and speed of car as "C" mph.

The plane can fly 1050 miles in the same-time as it takes the car to travel 210 miles, we write the equations based on the time-distance relationship as :

Time taken by plane = Time taken by car,

(Distance traveled by plane)/(Speed of plane) = (Distance traveled by car)/(Speed of car),

1050 miles / P mph = 210 miles / C mph    ...equation(1)

To find the speed of the plane (P), we relate it to speed of car (C) using the given information that car travels 120 mph slower than plane:

P = C + 120 mph

We substitute P = C + 120 mph into equation(1),

We get,

1050 miles / (C + 120 mph) = 210 miles / C

1050 miles × C = 210 miles × (C + 120 mph),

1050C = 210C + 25200

840C = 25200

C = 25200 / 840

C = 30 mph

Now, we substitute the value of C back into equation P = C + 120 mph:

We get,

P = 30 mph + 120 mph

P = 150 mph

Therefore, the speed of the plane is 150 mph.

Learn more about Speed here

https://brainly.com/question/13860369

#SPJ4

Based on a study, the average annual chocolate consumption for Americans is 10.6 pounds, with a standard deviation of 3.9 pounds. Using this information, we can calculate probabilities associated with different levels of chocolate consumption. Specifically, we can determine the probability of consuming less than 6 pounds, more than 8 pounds, between 7 and 11 pounds, exactly 9 pounds, and the annual consumption representing the 60th percentile.

To find the probability of consuming less than 6 pounds of chocolate, we need to calculate the z-score corresponding to 6 pounds using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation. With the given data, the z-score is (6 - 10.6) / 3.9 = -1.1795. Using a standard normal distribution table or a calculator, we can find the corresponding probability to be approximately 0.1183.

Similarly, for the probability of consuming more than 8 pounds of chocolate, we calculate the z-score for 8 pounds: z = (8 - 10.6) / 3.9 = -0.6667. Using the standard normal distribution table or a calculator, we find the probability to be approximately 0.2525. Since we want the probability of more than 8 pounds, we subtract this value from 1 to get approximately 0.7475.

To find the probability of consuming between 7 and 11 pounds of chocolate, we calculate the z-scores for 7 and 11 pounds: z1 = (7 - 10.6) / 3.9 = -0.9231 and z2 = (11 - 10.6) / 3.9 = 0.1026. Using the standard normal distribution table or a calculator, we find the area to the left of z1 to be approximately 0.1788 and the area to the left of z2 to be approximately 0.5418. Subtracting these values, we get approximately 0.3630.

Since we are looking for the probability of consuming exactly 9 pounds, we can use the z-score formula to calculate the z-score for 9 pounds: z = (9 - 10.6) / 3.9 = -0.4103. Using the standard normal distribution table or a calculator, we find the probability to be approximately 0.3413. To determine the annual consumption representing the 60th percentile, we need to find the z-score that corresponds to a cumulative probability of 0.60. Using the standard normal distribution table or a calculator, we find the z-score to be approximately 0.2533. We can then use the z-score formula to solve for x: 0.2533 = (x - 10.6) / 3.9. Rearranging the equation, we find x ≈ 11.76 pounds. Therefore, the annual consumption representing the 60th percentile is approximately 11.8 pounds.

Learn more about Z-Score here:

brainly.com/question/31871890

#SPJ11

To answer this question, we need to use the information given in the problem. We know that 52% of all adults are shareholders, so the probability that a randomly selected adult owns shares of stock is 0.52.

To find the probability that a randomly selected adult did not own shares of stock, we can subtract this probability from 1 (since the sum of the probabilities of all possible outcomes must equal 1).

So, the probability that a randomly selected adult did not own shares of stock is:

1 - 0.52 = 0.48

Now, we can see that the information about shareholders having some college education is not needed to answer this question.

Learn more about Probability at: https://brainly.com/question/25839839

#SPJ11

Given:

A car is traveling on Michigan Street towards Ward Street.

Required:

We need to find the measure of the angle when the car plans to turn right onto Ward Street.

Explanation:

We need to find the angle x marked in the given diagram.

Michigan Street road and Pennsylvania street road are parallel.

The angles MNQ and PNQ are linear pairs.

The sum of the linear pair is 180 degrees.

Subtract 85 from both sides of the equation.

Final answer:

95 degrees angle measure the turn.

Answer:

5,136

Step-by-step explanation:

because 1,712×3=5,136

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

Know more about derivative here:

https://brainly.com/question/25324584

#SPJ11

Answer:

J

Step-by-step explanation: