6 3 attempts left Check my work Round your answer to three decimal places. 14.28 points A car is traveling at 130 km/h due south at a point kilometer north of an intersection. A police car is traveling at 114 km/h due west at a point - kilometer due east of the same intersection. At that instant, the radar in the police car measures the rate at which the distance between the two cars is changing. What does the radar gun register?

Answer:

Fraction: x= 4/5

Decimal: x= 0.8

The correct answer is 0.00544 m^3.

To calculate the volume of a cylindrical steel bar, we need to use the formula:

Volume = π * (radius^2) * height

Given that the diameter of the round steel bar is 76 mm, we can calculate the radius by dividing the diameter by 2:

Radius = diameter / 2 = 76 mm / 2 = 38 mm = 0.038 m

The length of the steel bar is given as 1.2 m.

Now we can substitute these values into the formula:

Volume = π * (0.038^2) * 1.2

Volume = 3.14159 * (0.038^2) * 1.2

Volume ≈ 0.005439632 m^3

Rounded to four decimal places, the volume of the 1.2 m long steel bar is approximately 0.0054 m^3.

Therefore, the correct answer is 0.00544 m^3.

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Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

The reciprocal of -2/3 is -3/2 we just have to flip the fraction.

Suppose 'a' is an integer and we know every integer can be written as a fraction in the form a/1 which a ofcourse,Now the reciprocal of a/1 is 1/a therefore reciprocal of a is 1/a.

We know reprocal of a is 1/a, Meaning to obtain a reciprocal we just have to flip a fraction which results in switching numerator to denominator and denominator to numerator.

∴ The reciprocal of -2/3 can be easily obtained by flipping this fraction which is,

= -3/2.

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Answer: look at picture

Step-by-step explanation:

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

\(South = 4.2km\)

\(West = 7.1km\)

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

\(\tan(a) = \frac{Opposite}{Adjacent}\)

\(\tan(a) = \frac{7.1}{4,2}\)

\(\tan(a) = 1.6905\)

Take arctan of both sides

\(a = \tan^{-1}(1.6905)\)

\(a = 59.4^o\)

The bearing that the scout should work is N59.4W for the shortest distance

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let  A represent the angle that the scouts walk

tan∠A = 4.2/7.1

A = 30.6°

The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance

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Answer:

3/8

Step-by-step explanation:

3 1/3 = 10/3

1 1/4 = 5/4

Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.

so

(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)

= (3 x 5) / (10 x 4) = 15 / 40

the numerator and denominator have a common factor of 5 so divide the  numerator and denominator by 5

15 / 40 = 3/8

Answer: If 20% of a farmer's harvest had to be given to Pharaoh, and the farmer had to give 40 bushels, we can set up the equation:

(x * 0.2) = 40 bushels

where x represents the number of bushels the farmer harvested. To find the value of x, we can divide both sides of the equation by 0.2:

x = 40 bushels / 0.2

x = 200 bushels

Therefore, the farmer harvested 200 bushels of grain that year.

Step-by-step explanation:

From the fraction solved, the distance that the rabbit should be behind the turtle will be 400 meters.

From the information, it was stated that a rabbit and a turtle run 100 meters and that when the rabbit finished, the turtle was behind by 80 meters. Therefore, the distance covered by the turtle will be:

= 100 - 80

= 20 meters

Therefore, the fraction of their distance will be:

= 20/100 = 1/5

Therefore, the number of meters behind the turtle that the rabbit should start will be:

= 80 × 5

= 400 meters.

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oop: Deals 4508 - 28420 of the opposite element of your target enemies weakest element and delete to the fastest enemy. Reset on 4th attack from the enemy team.

Step-by-step explanation:

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

\(\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon\)

The cost of one gallon for this week is,

\(\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon\)

So, the extra charge paid by his dad for the last week for one gallon will be,

\(2.95-2.87=0.08\$\;\rm per\;gallon\)

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

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Answer:

160÷3=40

Step-by-step explanation:

that is the answerrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:

The period of function.........

Step-by-step explanation:

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

The decay factor of the exponential decay function describing the value of construction equipment is 0.25.

A percentage is used to represent the degradation rate.

Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.

The decay factor b = 1-r can therefore be calculated.

For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.

A percentage is used to represent the degradation rate.

Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.

The decay factor b = 1-r can therefore be calculated.

For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.

So, we know that the depreciation rate is 25%.

Then, the decay rate:

.025

Therefore, the decay factor of the exponential decay function describing the value of construction equipment is 0.25.

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Answer:

PQR = 133

Step-by-step explanation:

Part a

180= 4x -4

180 + 4 = 184

184/4 = 46

46=x

Part b

3 * 46= 138

138-5 = 133

PQR = 133

The Answers are:

(a) ∂f/∂x = 2xy + 6x + 4y

   ∂f/∂y = x² + 4x

(b) ∂f/∂x = 0

   ∂f/∂y = 2

(c) ∂f/∂x = (2x)/(x² + y)

   ∂f/∂y = 1/(x² + y)

To find the partial derivatives of the given functions, we differentiate the function with respect to the specified variable while treating other variables as constants.

(a) For f(x, y) = x²y + 3x² + 4xy - 5:

∂f/∂x = 2xy + 6x + 4y

∂f/∂y = x² + 4x

(b) For f(x, y) = ²² + 2y:

∂f/∂x = 0

∂f/∂y = 2

(c) For f(x, y) = ln(x² + y):

∂f/∂x = (2x)/(x² + y)

∂f/∂y = 1/(x² + y)

In summary:

(a) ∂f/∂x = 2xy + 6x + 4y

   ∂f/∂y = x² + 4x

(b) ∂f/∂x = 0

   ∂f/∂y = 2

(c) ∂f/∂x = (2x)/(x² + y)

   ∂f/∂y = 1/(x² + y)

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Answer:

I would say the 3rd one, i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the given data, we can calculate the regression equation as follows:

First, calculate the means of x and y:

mean(x) = (7.3 + 23.6 + 4.3 + 22.1 + 7.1 + 3.9 + 21.2) / 7 = 13.1143

mean(y) = (22.9 + 74.1 + 13.5 + 69.4 + 22.3 + 12.3 + 66.6) / 7 = 42.3286

Then, calculate the sample standard deviations of x and y:

s_x = sqrt(((7.3 - 13.1143)^2 + (23.6 - 13.1143)^2 + ... + (21.2 - 13.1143)^2) / 6) = 7.8836

s_y = sqrt(((22.9 - 42.3286)^2 + (74.1 - 42.3286)^2 + ... + (66.6 - 42.3286)^2) / 6) = 25.3612

Calculate the sample covariance:

cov(x,y) = ((7.3 - 13.1143)(22.9 - 42.3286) + (23.6 - 13.1143)(74.1 - 42.3286) + ... + (21.2 - 13.1143)*(66.6 - 42.3286)) / 6 = 194.4714

Calculate the slope of the regression line:

b = cov(x,y) / s_x^2 = 194.4714 / (7.8836^2) = 3.1343

Calculate the intercept of the regression line:

a = mean(y) - b * mean(x) = 42.3286 - 3.1343 * 13.1143 = 1.1639

Therefore, the regression equation is:

y = 1.1639 + 3.1343x

To find the best predicted circumference for a diameter of 42.5 cm, we substitute x = 42.5 into the regression equation:

y = 1.1639 + 3.1343(42.5) = 133.262

The predicted circumference is 133.262 cm.

To determine whether the predicted value is significantly different from the actual circumference of 133.5 cm, we can calculate the standard error of the estimate:

s_e = sqrt(((22.9 - 133.262)^2 + (74.1 - 133.262)^2 + ... + (66.6 - 133.262)^2) / 5) = 17.2538

Using a significance level of 0.05 and a t-distribution with 5 degrees of freedom (n - 2), the critical t-value is 2.571. The margin of error is then:

ME = t_critic * s_e = 2.571 * 17.2538 = 44.3726

Since the actual circumference of 133.5 cm falls within the margin of error (133.262 - 44.3726 to 133.262 + 44.3726), we can conclude that the predicted value is not significantly different from the actual circumference. Therefore, the answer is:

b) Even though 42.5 cm is beyond the scope of the sample​ diameters, the predicted value yields the actual circumference.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(a^{(\dfrac{b}{4})} = 16\\\\\\Both \ sides \ raise \ to \ 4\\\\(a^{\dfrac{b}{4}})^{4} = 16^{4}\\\\a^{\dfrac{b}{4}*4}=16^{4}\\\\a^{b}=16^{4}\)

b = 4

The given tax rates are as follows:

Single Taxpayers: Income Brackets

Tax Income          Rate Bracket             Tax Owed              

O to 9,525          10%                     10% of taxable income

9,526 to38,700    12%                $952.50 plus 12% of  38,700 the excess                                                                                        over

$38,701 to 82,500  22 %                $4,453.50 plus 22% of 38,701                                                                                     the excess over

82,501 to 157,500     24%    $14,089.50 plus 24%  of the excess over

                                                                 157,500

157,501 to  200,000     32%     $ 32089.50  plus 32% of the excess over

200,001 to   500,000     35%      45,689.50 plus 35% of the excess over

500,000 >                37%         $150,689.50 plus 37% of 500,000 of the    

                                                               excess over

The taxable income lies in the tax rate range of   $38,701 to 82,500.

Therefore the tax would be  

 $4,453.50 + 22% of (39,000-38,701=299)

 $4,453.50 + 22% of 299

 $4,453.50 + 65.78

= $ 4519.28

The taxable income lies in the tax rate range of  $38,701 to 82,500.

Due and effective tax rate is $4,453.50 plus 22% of 38,701 the excess over

The calculated tax is $ 4519.28

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Answer:

$4,519.50 and 22%

Step-by-step explanation:

i got it right

We have solved the equation AB=BC for A, assuming that A, B, and C are square matrices and B is invertible, then the solution is A=C B⁻¹.

First, let's take a look at the equation AB=BC. This is an equation that involves matrices, which are essentially rectangular arrays of numbers. In this case, we have three matrices: A, B, and C. The equation tells us that the product of A and B is equal to the product of B and C.

Now, we want to solve this equation for A. This means that we want to isolate A on one side of the equation and have everything else on the other side. To do this, we can use matrix algebra.

One property of matrices is that we can multiply both sides of an equation by the inverse of a matrix without changing the solution. Since we know that B is invertible, we can multiply both sides of the equation by B⁻¹, the inverse of B:

AB B⁻¹ = BC B⁻¹

Now, we can simplify the left side of the equation, because B times its inverse gives us the identity matrix I:

A I = C B⁻¹

Again, we can simplify the left side of the equation, because anything multiplied by the identity matrix stays the same:

A = C B⁻¹

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Step-by-step explanation:

1. Cosine

2. Relationship is Cos = adj/hyp

3. x is 14

4. The hypotenuse of the triangle is 14cm long

The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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Answer:

When fractions have the same denominator, we say they have common denominators. Having common denominators makes things like comparing, adding, and subtracting fractions easier.

Step-by-step explanation:

Hope I helped have a good day

Also can you mark me as brainliest?? please

Answer:

Because n order to add fractions, the fractions must have a common denominator. We need the pieces of each fraction to be the same size to combine them together these two fractions have the same denominator, so the equal parts that the whole has been split into are the same size.

Step-by-step explanation:

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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the product x3⋅x4. Both terms have the same base, x, but they are raised to different exponents. Expand each expression, and then rewrite the resulting expression. ... Write each of the following products with a single base. Do not simplify further. ... notation. a 3.547×1014; b −2×106; c 7.91×10−7; d −8.05×10−12 ..

Answer:

n/4-9 +3

Step-by-step explanation:

to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.