Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?

The function of differentiable parameterization of arc length 2 in space is ∫√(1)² + (2t)² + (cos(t))² dt.

To set up a differentiable parameterization of arc-length 2 in space, we can use the arc-length formula:

s = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

where s is the arc length, t is the parameter, and (x, y, z) is the position vector.

We want the arc length to be 2, so we can set up the following equation:

2 = ∫√(dx/dt)² + (dy/dt)² + (dz/dt)² dt

We can then choose a function for each component of the position vector, such as:

x = t

y = t²

z = sin(t)

We can now find the derivatives with respect to t:

dx/dt = 1

dy/dt = 2t

dz/dt = cos(t)

We can substitute these into the arc-length formula:

2 = ∫√(1)² + (2t)² + (cos(t))² dt

Solving this integral for t will give us the desired parameterization of arc-length 2 in space. However, this integral may not have a closed-form solution, so numerical methods may need to be used to approximate the solution.

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The question is -

Differentiable parameterization of arc-length 2 in space ( not in a plane) how would you set up the function?

The carbs that are in one glass of milk and

in one snack bar is 27 carbs

Since 4 glasses of milk and 3 snack bars have a total of 80 carbohydrates (carbs), this will be:

4m + 3b = 80

2 glasses of milk and 4 snack bars have a total of 70 carbs. This will be:

2m + 4b = 70

Collect both equations and solve

4m + 3b = 80 ..... i

2m + 4b = 70 ..... ii

m = milk

b = snack bars

Multiply equation i by 2

Multiply equation ii by 4

8m + 6b = 160

8m + 16b = 280

Subtract

10b = 80

Divide

b = 80/10 = 8

Snack bars = 8 carbs

Since 2m + 4b = 70

2m + 4(8) = 70

2m + 32 = 70

2m = 70 - 32

2m = 38

Divide

m = 38/2 = 19

Milk = 19 carbs

The total carbs will be:

= Milk + Snack

= 19 + 8

= 27 carbs

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Answer:

Scientific Notation:

3.053 x 10^6

Expanded Form:

3053000

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.053 × 10^6

Step-by-step explanation:

Expressions are collection of algebric equetion and equal sighn and used for expresion of mankind problems like items, money and other mankind problem.

to know length by using degree but most of the time for the archtechture. soon

Answer:

B

Step-by-step explanation:

The missing values by solving the parallelogram are: a) 34.10; b) θ = 96.42° c)  φ = 83.18°

You should understand that a parallelogram is a flat shape with opposite sides parallel and equal in length.023 It is a quadrilateral with two pairs of parallel sides.

The missing side and angles of the parallelogram are given by:

a² = (c² + d²)/2 - b² = (42² + 38²)/2 - b² = 1163;

a = √1163 = 34.10;

b) By cosine law  42² = 21² + 34.10² - 2·21·34.10cosθ;

cosθ = (21² + 34.10² - 42²)/(2·21·34.10) = - 0.11185;

c) θ = 96.42°; φ = 180° - 96.42°

= 83.18°

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The amount of cash paid to suppliers of merchandise during the reporting period is $35.5 million.

What is Accounts payable?

Accounts payable refers to the outstanding debts or obligations that a company owes to its suppliers or vendors for goods or services received on credit. It represents the amount of money that a company owes to its creditors for purchases made on credit terms.

To determine the amount of cash paid to suppliers of merchandise during the reporting period, we can use the following equation:

Cash paid to suppliers = Change in accounts payable + Cost of goods sold

Given information:

Change in accounts payable = $5.5 million (increase)

Cost of goods sold = $30.0 million

Plugging in the values:

Cash paid to suppliers = $5.5 million + $30.0 million

Cash paid to suppliers = $35.5 million

Therefore, the amount of cash paid to suppliers of merchandise during the reporting period is $35.5 million.

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The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988

Let x represent the cost of mailing the letter in 1938, hence:

x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent

The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988

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The security deposit that Tanya paid for her new apartment is $437.50.

To calculate the security deposit, we can use the formula for simple interest: Interest = Principal * Rate * Time. We know the interest earned is $17.50, and the rate is 4%. Let's assume the security deposit is represented by the variable "x". We can plug these values into the formula:

$17.50 = x * 4% * 1 year

To solve for x, we can first convert the percentage to a decimal by dividing it by 100:

0.04 * x = $17.50

Next, we can isolate x by dividing both sides of the equation by 0.04:

x = $17.50 / 0.04

Calculating this, we find that x is equal to $437.50.

Therefore, the security deposit that Tanya paid for her new apartment is $437.50.

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Step-by-step explanation:

perimeter=2(l+b)

check the picture for more clarification

The difference between 85.3 and 38 is 47.3. Therefore, the correct answer is option A) 47.3.

Difference is an operation in math that refers to the outcome of subtracting one number from another. The difference between 85.3 and 38 is calculated as follows:

85.3 − 38 = 47.3.

To report the final answer correctly: When reporting your final answer, you must follow the proper method and ensure that it is written in the correct format.

The correct answer to this question is 47.3, which is a decimal number. It is important to include the unit of measure or the currency used in the question. However, in this question, it has not been specified. Hence, the final answer to this question is 47.3 (Option A).

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Answer:

B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month

option D is your answer ok

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The correct answer is C. The dependent variable is not typically the explanatory variable in a regression model.

In regression analysis, we aim to understand the relationship between a dependent variable and one or more independent variables. The dependent variable is the variable we are trying to explain or predict, while the independent variables are the ones we use to explain or predict the dependent variable.

In a regression model, the intercept coefficient is typically interpreted. It represents the predicted value of the dependent variable when all the independent variables are equal to zero. So, statement A is not true.

The estimates of the slope coefficients are indeed found from sample data. These coefficients represent the change in the dependent variable associated with a one-unit change in the corresponding independent variable. Therefore, statement B is true.

Finally, the regression line is constructed in a way that it minimizes the sum of squared errors, also known as the residuals. The residuals are the differences between the actual values of the dependent variable and the predicted values from the regression model. So, statement D is true.

In summary, statement C is the only statement that is not true about a regression model. The dependent variable is not typically the explanatory variable in regression analysis.

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Answer:

\(16\)

Step-by-step explanation:

Substituting \(a=2\) and \(b=3\) into \((a^{b}+b^{a})-1\) gives us:

\((a^{b}+b^{a})-1\)

\(=(2^{3} +3^{2})-1\) (Substitute given values into expression)

\(=(8+9)-1\) (Evaluate exponents)

\(=17-1\) (Evaluate expression in parentheses)

\(=16\) (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

(\(a^{b}\) + \(b^{a}\) ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

Answer:

20x15=300

When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.

Step-by-step explanation:

When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.

2x4=?

When you do 2x4, you have to do 2+2+2+2=

but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.

I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.

Thank You! I hope I made your day just a little better!

Have a great time studying!

ANSWER:

The volume of the rectangular prism is 4 m^3

STEP-BY-STEP EXPLANATION:

We have that the volume of a rectangular prism is given by the following formula

replacing:

a) Timothy's bike costs $20.It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost

To find the cost of Timothy's bike, we need to calculate 20% of Katie's bike cost.

20% of $100 can be calculated by multiplying $100 by 0.20:

20% * $100 = $20.

Therefore, Timothy's bike costs $20.

To calculate 20% of $100, we multiply $100 by the decimal equivalent of 20%, which is 0.20:

20% * $100 = 0.20 * $100 = $20.

In this scenario, Timothy's bike is priced at 20% of Katie's bike cost. This means that Timothy's bike is relatively less expensive compared to Katie's bike. It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost of Timothy's bike based on the given percentage relationship.

Based on the given information, Timothy's bike costs $20, which is 20% of Katie's bike cost.

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Answer:

1323

Step-by-step explanation:

i did the math

The area found by Missy is wrong.

A polyhedron with three faces connecting corresponding sides, a triangle base, and a translated copy is known as a triangular prism. If the sides of a right triangular prism are not rectangular, the prism is oblique. Right triangle prisms with square sides and equilateral bases are known as uniform triangle prisms.

It is, in essence, a polyhedron with two parallel sides and three surface normals that are all in the same plane.

Given a triangular prism,

area of prism is given by

2 x area of triangle + sum of area of 3 rectangles

area for given prism is

area of triangle = 1/2bh = 1/2 x 5 x 9 = 22.5 cm²

2 x area of triangle = 45 cm²

area of each rectangle = (10.3 x 3) + (3 x 5) +(9 x 3)

rectangle area = 30.9 + 15 + 27 = 72.9 cm²

so the total area of prism is  2 x area of triangle + 72.9 cm²

Hence the area found by Missy is wrong.

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(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer: 459 cheeseburgers

Step-by-step explanation:

To find out the number of cheeseburgers that can be made, divide the amount of meat set aside by the amount of meat it takes to make one cheeseburger.

The amount of meat they have is:

= 114²/₃

= 344/3

Number of cheeseburgers is:

= 344/3 ÷ 1/4

= 344/3 * 4/1

= 1,376 / 3

= 458.67

= 459 cheeseburgers

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

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Answer:

13

Step-by-step explanation:

\(d = \sqrt{(-11-1)^{2}+(13-8)^{2} }\)

\(d = \sqrt{(-12)^{2}+(5)^{2} }\)

\(d = \sqrt{144+25}\)

\(d = \sqrt{169}\)

\(d = 13\)

The expression "3' - '2' + 'm' / 'n'" is invalid because it combines character literals and arithmetic operations. The expression "3' - '2' + 'm' / 'n'" is not valid in most programming languages.

It attempts to mix character literals ('3', '2', 'm', 'n') with arithmetic operations (-, +, /), which is not meaningful. In programming languages, characters are typically represented using character literals enclosed in single quotes.

While arithmetic operations are performed on numerical values. The expression should be revised to ensure that the operations are performed on numerical values rather than character literals.

For example, if 'n' and 'm' represent numerical values, the expression could be written as "3 - 2 + m / n" to perform arithmetic operations correctly.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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It is normal for the cervix to dilate during labor. The cervix opens when there is dilatation. The cervix may begin to shrink or stretch (efface) and open as labor approaches (dilate).

As a result, the cervix is ready for the baby to enter the delivery canal (vagina). Each woman's cervix thins and opens at a different rate. The cervix may begin to slowly efface and dilate over a few weeks in certain women. On the other hand, a first-time mother frequently won't dilate until active labor begins.

Your doctor may use his or her fingers to feel the cervix toward the end of your pregnancy to see how much it has effaced and dilated. To do this, he or she will put on sterile gloves. Your cervix opens (dilates) as your uterus contracts during labor. They also assist in positioning the infant for birth.

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Answer:

Two right angles = 180 degrees

Step-by-step explanation:

A right angle = 90 degrees

The sum of the interior angles of a triangle = 180 degrees

Two right angles (2 * 90) = 180

180 = 180

Therefore, the sum of the interior angles of  any triangle is equal to two right angles.