Convert the measurement as indicated.
6 in to feet
6 in= ft (Type an integer or a decimal.)

Answer:

7 * 10 to the power —5

Step-by-step explanation:

check out the attached photo.

Answer:

70x - 10

Step-by-step explanation:

the unit normal vector to the curve with vector equation \vec r \, (t) =<1^t,\ln(4/t^2), \, \ln(e/(t^4)) > r (t)=<1 t ,ln(4/t 2 ),ln(e/(t 4 ))> at the point where t=2t=2 is \vec n = <0,0,-1>

A unit normal vector is a normal vector with magnitude 1, and it points in the direction that is perpendicular to the tangent to the curve at a given point.

To determine the unit normal vector to a curve, it's important to find the tangent first and then find the normal. In this case, we're looking for the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2.

To find the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2, it is necessary to find the tangent to the curve and then find the normal. This is a crucial step in understanding the geometry of curves in 3D space.

To find the tangent to the curve, we'll differentiate the vector equation with respect to t and evaluate it at t = 2. The derivative of \vec r (t) is given by:

d\vec r/dt = <1, -2t^-3, -4e^-t^-4>

So the tangent to the curve at t = 2 is:

d\vec r/dt = <1, -2(2)^-3, -4e^-2^-4> = <1, 1.5, -1.648721>

Next, we'll find the normal to the tangent by taking the cross product of the tangent with a fixed vector, for example, the unit vector i = <1,0,0>. The cross product of two vectors results in a vector that is perpendicular to both of them.

The cross product of the tangent and the unit vector i is given by:

\vec T x \vec i = <1, 1.5, -1.648721> x <1,0,0> = <0,0,-1.5>

Since the magnitude of the normal is not 1, we'll normalize it by dividing it by its magnitude:

\vec n = \vec T x \vec i / ||\vec T x \vec i|| = <0,0,-1.5> / ||<0,0,-1.5>|| = <0,0,-1>

So the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2 is given by:

\vec n = <0,0,-1>

This is the unit normal vector that points in the direction that is perpendicular to the tangent to the curve at t = 2. The magnitude of 1 ensures that it's a unit vector and the direction points towards the normal direction.

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The median temperature recorded in Columbus at noon over the two-week period is 77.5°F.

To find the median of a set of data, we arrange the values in ascending order and then locate the middle value. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values.

Given the temperatures recorded in Columbus at noon for two weeks:

81, 78, 77, 75, 80, 82, 84, 78, 74, 75, 49, 71, 76, 80

First, let's arrange the temperatures in ascending order:

49, 71, 74, 75, 75, 76, 77, 78, 78, 80, 80, 81, 82, 84

Since there are 14 data points, which is an even number, the median will be the average of the two middle values.

The middle two values are the 7th and 8th values in the sorted list: 77 and 78.

To find the median, we calculate their average:

Median = (77 + 78) / 2 = 155 / 2 = 77.5

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The value of ' a 'indicating no association between gender and voting pattern for the people in the sample is 500.

A sample is a result of a random experiment. We sample a random variable when we select a specific value from among its possible possibilities. A exact value is that of a sample. The potential values and likelihood of each are determined by the random variable's probability distribution. They should be picked at random from a broader group or population in order to assist you understand more about the population as a whole. Samples are employed in statistical testing when population sizes are too big for all prospective participants or observations to be included in the test.

Here,

Considering Split ticket,

a + b = 600  ---(1)

Considering No Split ticket,

c + d = 400    ---(2)

Considering Men,

a + c = 800      ---(3)

Considering Women,

b + d = 200       ---(4)

Applying (1) - (4),

a + b -  b - d= 600 - 200

a - d = 400    ---- (5)

Applying (2) - (4),

c + d - b - d = 400- 200

c - b = 200  ----(6)

a - c = 200 --- (7)

Applying (3) + (7)

2a = 1000

a = 500

For those in the sample, the value of "a" showing there is no correlation between gender and voting behavior is 500.

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The correct option is (C) The graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Option (C) gives a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

Statement "a is a nonnegative real number and n is a positive integer" is true.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Given that, a is a nonnegative real number and n is a positive integer.

\(a^{\frac{1}{n} }=\sqrt[n]{a}\)

Notice that in both cases when we elevated to the n-th power, we got the same thing, then these are equivalent, then:

\((a^{\frac{1}{n} })^n=a\)

Therefore, the given statement is true.

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Answer:

Each animal figure cost $2 dollars and each bookmark cost $4.50 dollars

Step-by-step explanation:

I got this answer is because second part of the question it says "Later he goes back to buy 3 more figures and return 3 of the bookmark spending another $6". The information this gives us is that since he bought nothing but animal figures and bought 3 animal figures and spent $6 dollars that tells us that each animal figure cost $2 dollar knowing this we can figure out the first part since in the first part he spent $33 dollars in total and bought 3 animal figures and 6 bookmarks and we know each animal figure cost $2 dollars we know in total he spent $6 dollar on animal figures and he spent $27 dollar on bookmarks doing division 27 divided by the number of bookmarks he bought we figure out the cost of one bookmark so doing this the answer is one animal figure is $2 dollars and one bookmark is $4.50.

I hope this help this is less of a math problem and more of a logic one this took me a while of rereading to figure out!

Give me a thanks.

Answer:

≈ 10.63

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = P(- 1, - 1) and (x₂, y₂ ) = L(6, - 9)

d = \(\sqrt{(6-(-1))^2+(-9-(-1))^2}\)

   = \(\sqrt{(6+1)^2+(-9+1)^2}\)

   = \(\sqrt{7^2+(-8)^2}\)

   = \(\sqrt{49+64}\)

   = \(\sqrt{113}\) ≈ 10.63 ( to the nearest hundredth )

Answer:2(21a+16)

Step-by-step explanation:

State your research hypothesis and alternate hypothesis.

Collect data in a way designed to test the hypothesis.

Perform an appropriate statistical test.

Decide whether to keep or reject your hypothesis.

hope this helps

When the relationship between the regression line and the data points is weak, it indicates a lack of strong association and highlights the need for further investigation and consideration of alternative explanations to better understand the underlying dynamics of the variables being studied.

When the relationship is weak, it implies that the data points are scattered and do not follow a clear pattern or trend. The variability in the data is high, making it difficult to establish a strong linear relationship. This could be due to various reasons, such as the presence of outliers, measurement errors, or the existence of other unaccounted factors influencing the variables.

The weak relationship between the regression line and the data points suggests that the predictive power of the regression model is limited. The regression line may not effectively explain or predict the values of the dependent variable based on the independent variable(s). Consequently, relying solely on the regression analysis to make accurate predictions or draw conclusions may be unreliable.

It is important to interpret the results cautiously and consider alternative explanations or additional variables that might contribute to the observed variability in the data. Further exploration and analysis may be needed to identify other potential factors that influence the relationship between the variables and to determine whether a different model or approach is more appropriate.

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To write the system in the form ddt[xy]=p(t)[xy] f⃗ (t), we need to express the derivatives x′ and y′ in terms of xy. We can do this by multiplying the first equation by 8sin(t) and the second equation by 8x - 3cos(t):
8sin(t)x′ = 8sin(t)e^(3t)x - 72sin(t)ty
(8x - 3cos(t))y′ = 8tan(t)(8x - 3cos(t))y

Now we can add these two equations and simplify:
8sin(t)x′ + (8x - 3cos(t))y′ = 8sin(t)e^(3t)x - 72sin(t)ty + 8tan(t)(8x - 3cos(t))y
ddt[xy] = (8sin(t)e^(3t) - 72sin(t)t + 8tan(t)(8x - 3cos(t)))xy
So the system in the desired form is ddt[xy] = (8sin(t)e^(3t) - 72sin(t)t + 8tan(t)(8x - 3cos(t)))xy f⃗ (t).

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Answer: x=112

Step-by-step explanation: If you add 35 and 33 you would get 68 and if you subtract 68 from 180 you will get 112. I hope this helps!

Answer:

- brainliest  

Step-by-step explanation:

The AD curve in an AS-AD diagram is most relevant to Keynes's Law. The correct option is d.

In an AS-AD (Aggregate Supply-Aggregate Demand) diagram, Keynes's Law is most relevant to the AD curve. Keynes's Law, proposed by economist John Maynard Keynes, states that aggregate demand (AD) determines the level of economic activity and that fluctuations in AD can lead to periods of economic expansion or contraction.

The AD curve represents the total demand for goods and services in an economy at different price levels. It shows the relationship between the overall price level and the quantity of real GDP demanded. When the AD curve shifts to the right, it indicates an increase in overall demand, leading to higher levels of output and employment. Conversely, a shift to the left indicates a decrease in overall demand, which may lead to lower output and employment.

Keynes's Law emphasizes the importance of aggregate demand management by the government through fiscal and monetary policies to stabilize the economy and achieve full employment. Thus, the AD curve plays a central role in illustrating the concepts and implications of Keynes's Law in an AS-AD diagram. The correct option is d.

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The question asks us to solve the following system of equations by elimination:

Solution

Answer

The solution to the system of equation is:

x = -8

y = 9

Step-by-step explanation:

Slopes of the parallel lines are equal.

The products of the Slopes of the perpendicular lines are equal to - 1

Answer: Slopes of the parallel lines are equal.

Answer:

1) greater than

2) less than

3) greater than

4)less than

5) greater than

6) greater than

Step-by-step explanation:

To find the total length of the ribbon before Shona cut it, you need to multiply the length of each piece (0.158 m) by the number of equal lengths (8 pieces).

The formula for this is:

Total length = (Length of each piece) x (Number of equal lengths)

Total length = 0.158 m x 8

Total length = 1.264 m

So, the ribbon was 1.264 meters long before Shona cut it.

b) To find out how many cuts Shona made, you need to subtract 1 from the number of equal lengths. The formula for this is:

Number of cuts = (Number of equal lengths) - 1

Number of cuts = 8 - 1

Number of cuts = 7

Shona made 7 cuts to the ribbon.

In summary, the ribbon was 1.264 meters long before Shona cut it, and she made 7 cuts to create the 8 equal lengths.

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

sure ill help

Step-by-step explanation:

Answer:

a+b=f

Step-by-step explanation:

180-f= c

180-(a+b)= c

SO

a+b= f

\({\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}\)

\( \sf \dfrac{2}{15} \div \dfrac{3}{20} = \dfrac{2 \times 20}{15 \times 3} = \dfrac{40}{45} = \dfrac{8}{9} \)

Answer :-

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \Rrightarrow \dfrac{8}{9} \)

I hope I've helped : )

\(\dfrac{1}{50}\)

\( \cfrac{2}{15} \times \cfrac{3}{20} \)

\( \cfrac{2 \times 3}{15 \times 20} \)

\( \cfrac{6}{15 \times 20} \)

\( \cfrac{6}{300} \)

\( \cfrac{1}{50} \)

-------------------------------------------------------------------------------------------------------

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Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x       - we multiply both sides of the equation by x

100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

Answer:

76.8

Step-by-step explanation:

The area of the region under the graph of the function f(x) on the interval [1, 3] is 26/3 square units.

To find the function f(x), given that the slope of the tangent line at any point (x, f(x)) is f'(x) and that the graph of f passes through the point (0, 3), we need to find the antiderivative of f'(x) that satisfies the initial condition f(0) = 3.

Given f'(x) = 2x, we need to integrate f'(x) to find f(x):

∫ f'(x) dx = ∫ 2x dx

f(x) = \(x^2 + C\)

To find the value of the constant C, we can use the initial condition f(0) = 3:

f(0) = \(0^2 + C = 3\)

C = 3

Therefore, the function f(x) is:

f(x) = \(x^2 + 3\)

Now, let's find the area of the region under the graph of the function f(x) on the interval [1, 3].

To find the area, we need to calculate the definite integral of the function f(x) from x = 1 to x = 3:

Area = ∫[1,3] f(x) dx

      = ∫[1,3] (\(x^2 + 3\)) dx

      = [(1/3)\(x^3 + 3x\)] [1,3]

      = [(1/3)(\(3^3\)) + 3(3)] - [(1/3)(\(1^3\)) + 3(1)]

      = (9/3 + 9) - (1/3 + 3)

      = (3 + 9) - (1/3 + 9)

      = 12 - (10/3)

      = 26/3

Therefore, the area of the region under the graph of the function f(x) on the interval [1, 3] is 26/3 square units.

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The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).

To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).

For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.

Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.

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Answer:

1/3x

Step-by-step explanation:

Slope: 1/3x

y-intercept: 6

Slope: Rise/Run = 1/3

Slope intercept Form: y= 1/3x+6

$473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.

To determine the amount of money that should be deposited each year to ensure that the university will have enough money at the end of the 6th year  to pay for the expansion project, we can use the concept of future value of an annuity.

The future value of an annuity is the accumulated total value of all the payments or deposits made, including the interest earned over the specified period. It represents the amount of money that will be available at a future date, considering the compounding effect of interest.

The formula to calculate the future value of an annuity is:

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV is the future value of the annuity,

P is the amount of each payment or deposit,

r is the interest rate per period,

n is the number of payment periods.

In this case, the university plans to deposit a sum of money at the end of each year for five years from now. This means there are five years of deposit.

The future value (FV) is given as $3 million, so FV = $3,000,000.

The annual interest rate (r) is 5.5%, so r = 0.055.

The number of years (n) is 6 years.

We need to solve the formula for P (the amount to be deposited each year).

$3,000,000 = P * [(1 + 0.055)^6 - 1] / 0.055

$3,000,000 = P * [1.348148 - 1] / 0.055

$3,000,000 = P * 0.348148 / 0.055

$3,000,000 = P * 6.33087

P = $3,000,000 / 6.33087

P ≈ $473,710.99

Therefore, $473,710.99 (in thousands of dollars) should be deposited each year to ensure that the university will have enough money at the end of the 6th year to pay for the expansion project.

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Bryleigh have to pay 1260 cents because this is the cost of three dozen brownies.

According to the question,

We have the following information:

Bryleigh needs three dozen brownies for a party. Each brownie costs 35¢.

Now, we know that one dozen of a product means that there are 12 products in total.

So, 3 dozens of brownies means that 12*3.

So, we have 36 products in total.

Now, we have cost of 1 brownie as 35 cents.

So, the cost of 36 brownies can be easily found by multiplying the cost of 1 brownie by 36.

1 brownie = 35 cents

Cost of 36 brownies = 36*35 cents

Cost of 36 brownies = 1260 cents

Hence, the cost of three dozen brownies for which Bryleigh have to pay is 1260 cents.

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Answer:

concave polygones

Step-by-step explanation:

Answer:

R= - 95/7

Step-by-step explanation:

Answer:

The transformation is (y,-x)

Step-by-step explanation:

To know the mapping notation, we need to know the coordinates of the image and the pre-image

For the pre-image, we have;

A(3,8)

B(6,8)

C(6,2)

For the image, we have

A’( 8,-3)

B’ (8,-6)

C’ (2,-6)

So let us try and get the transformation from the coordinates

We can see that this is;

(x,y) to (y,-x)