The floor tiles in the jackson family’s kitchen are squares
that measure 8 3
··4
inches to a side. each grid square in the

drawing measures 1
··4
inch to a side.
which is the scale of the drawing?

The distance traveled in 25 minutes is 32.34 miles.

Remember the relation:

distance = speed*time

Here we know that speed = 77mi/h

And the time is 25 min, but we should write this in hours, remember that:

1 hour = 60 min

then:

25 min = (25/60) h = 0.42 hours.

Then the distance is:

D = (77 mi/h)*0.42h = 32.34 miles.

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Answer:

16.2 years

Step-by-step explanation:

Answer:

162.3 in^2

Step-by-step explanation:

C=2πr=2·π·25.83≈162.29468in

The 8 measures that can be used to calculate the distance across a circle through its center is known as the diameter.

The 8 measures include diameter, radius, chord, tangent, secant, circumference, arc length, and central angle. The diameter is the longest measure and extends from one side of the circle through its center to the opposite side. The radius is half the length of the diameter and extends from the center to the circumference.

A chord is a straight line segment that connects two points on the circumference. A tangent is a straight line that touches the circumference at only one point. A secant is a line that intersects the circumference at two points.

The circumference is the distance around the circle, while the arc length is the distance along a portion of the circumference. A central angle is an angle whose vertex is at the center of the circle, and its rays extend to the circumference.

These measures are useful in many areas, such as in geometry, trigonometry, and physics. They can be used to calculate various properties of circles, such as the area, perimeter, and volume of circular objects. Understanding these measures is essential in solving problems related to circles and circular motion.

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Answer:

b=3.4     so it is d

Step-by-step explanation:

Subtract 2.3  from both sides of the equation

b+2.3 = 5.7

b+2.3 - 2.3 = 5.7- 2.3

and the simply

The equation of the line is y = -(3/4)x - 6.

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through the points (-4,-3) and has a slope of -3/4.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,

y - (-3) = -3/4 (x - (-4))

y + 3 = -3/4 (x + 4)

y = -(3/4)x -3 -3

y = -(3/4)x - 6

Hence, the equation of the line is y = -(3/4)x - 6.

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Answer:

y = x - 23

Step-by-step explanation:

Answer:

.0024

Step-by-step explanation:

Hey There!

So when converting a percentage to a decimal all we have to do is move the decimal place over to the left 2 times

so it would be .0024

hope this helps ~ MarkAnswers

Answer:

0.0024

Step-by-step explanation:

0.24% = 0.0024 in decimal form. Percent means 'per 100'. So, 0.24% means 0.24 per 100 or simply 0.24/100.

i hope this helps!! brainliest?

Answer:

\(5\)

Step-by-step explanation:

3/4+12/8+3/2+10/8=5

The set of outcomes where the number on the winning ticket is just 2 away from the number on one of your tickets can be represented as the union of the following sets:{15, 16, 17, 18, 19}, {91, 92, 93, 94, 95}, and {200, 201, 202, 203, 204}.

In order to find the sample space for this situation, we can list all the numbers from 1 to 500. However, since that is impractical, we can simply recognize that there are 500 possible outcomes. Each outcome corresponds to one of the tickets sold. Therefore, the sample space can be expressed as S = {1, 2, 3, ..., 500}.a. one of your tickets is the winner

The outcome corresponding to a winning ticket being owned by you can be represented as the set {17, 93, 202}.b. neither you nor your friend win the bikeThe set of outcomes where neither you nor your friend wins the bike can be represented as the complement of the set of outcomes where either you or your friend wins the bike.

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Answer:

49 Hours

Step-by-step explanation:

If it takes him 1 hour to finish 1 page of notes and he already finished 1, he would need to do a total of 49 hours to get 49 more pages done.

Hope this helps!

1.  This means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.

2.  This means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.

3. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.

4.  In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.

5.  In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.

The smallest value in the data set is 4 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 4 miles per hour, which is the slowest speed observed among the 100 cars.

The largest value in the data set is 48 miles per hour. In the situation of cars passing through a busy intersection, this means that at least one car had a speed of 48 miles per hour, which is the fastest speed observed among the 100 cars.

The median is the middle value in the data set when arranged in ascending order. In this case, since we have 100 data points, the median would be the average of the 50th and 51st values. Looking at the given data, the median would be the average of 24 and 28, which is 26 miles per hour. In the situation of cars passing through a busy intersection, this means that half of the cars had a speed of 26 miles per hour or less.

The first quartile (Q1) represents the lower 25% of the data. To find Q1, we look for the value that separates the lowest 25% of the data. In this case, the first quartile is 12 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 12 miles per hour or less.

The third quartile (Q3) represents the upper 25% of the data. To find Q3, we look for the value that separates the highest 25% of the data. In this case, the third quartile is 36 miles per hour. In the situation of cars passing through a busy intersection, this means that 25% of the cars had a speed of 36 miles per hour or higher.

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Answer:

125°

Step-by-step explanation:

the given problem is related to co-interior angle

so.

(a) \(\oint_C \tan(z) , dz\), we can evaluate this integral using the parameter t:

\(\oint_C tan(z) dz = \int[0 to 2\pi]\ tan(2e^{(it)}) (2i e^{(it)}) dt\)

(b) \(\oint_C sinh(z) dz:\) we can evaluate this integral using the parameter t:

\(\oint_C sinh(z) dz = \int[0 to 2\pi]\ sinh(2e^{(it)}) (2i e^{(it)}) dt\)

what is parameterization?

Parameterization refers to the process of representing a curve, surface, or higher-dimensional object using one or more parameters. It involves expressing the coordinates of points on the object as functions of the parameters.

To evaluate the given integrals over the positively oriented circle C, we can use the parameterization of the circle and then apply the appropriate integration techniques.

(a) \(\oint_C \tan(z) , dz\)

To evaluate this integral, we'll parameterize the circle C using \(z = 2e^{(it)\)where t ranges from 0 to 2π. This parameterization represents a circle of radius 2 centered at the origin.

\(dz = 2i e^{(it)} dttan(z) = tan(2e^{(it)})\)

Substituting these values into the integral, we have:

\(\oint_C tan(z) dz = \int[0 to 2\pi]\ tan(2e^{(it)}) (2i e^{(it)}) dt\)

Now, we can evaluate this integral using the parameter t:

\(\oint_C tan(z) dz = \int[0 to 2\pi]\ tan(2e^{(it)}) (2i e^{(it)}) dt\)

(b) \(\oint_C sinh(z) dz:\)

Similar to part (a), we'll parameterize the circle C using \(z = 2e^{(it)\), where t ranges from 0 to 2π.

\(dz = 2i e^{(it)} dt\)

\(sinh(z) = sinh(2e^{(it)})\)

Substituting these values into the integral, we have:

\(\oint_C sinh(z) dz = \int[0 to 2\pi] sinh(2e^{(it)}) (2i e^{(it)}) dt\)

Now, we can evaluate this integral using the parameter t:

\(\oint_C sinh(z) dz = \int[0 to 2\pi]\ sinh(2e^{(it)}) (2i e^{(it)}) dt\)

Please note that for both integrals, the exact numerical evaluation will depend on the specific values of t within the integration range.

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Answer:

none

Step-by-step explanation:

slope is change in y over change in x

more visually:

(y2-y1)/(x2-x1)

for (-2, 1) let’s say -2 is x1 and 1 is y1

for (3, 6) let’s say 3 is x2 and 6 is y2

(6 -1)/(3 -(-2)) here -(-2) is basically -1(-2) and a negative times a negative is a positive so -2 becomes +2

5/(3+2)

5/5

1

so none of the answers are correct

Answer:

5)none of the answers are correct

Answer:

-0.4

Step-by-step explanation:

(3-5)/(1+4) = -0.4

Answer:

Page # 1:

Diameter = 14 cm

Radius = 7 cm

Area of the circle = \(\pi r^2\)

=> (π)(7)²

=> 49π cm²

Page # 2:

Area of quarter circle = \(\frac{\pi r^2 }{4}\)

Where r = 8 cm

=> Area = \(\frac{(\pi)(8)^2 }{4}\)

=> Area = 16 π cm²

1a) Complementary solution: y(t) = c₁ + c₂e^t + c₃e^(-t) + c₄cos(t) + c₅sin(t)

1b) Particular solutions:

(i) yp(t) = (1/2)e^t

(ii) yp(t) = (1/5)t^2 + (2/15)

(iii) yp(t) = [(3/20)t^2 + (1/4)t + C₁]cos(2t) - [(3/40)t^3 + (1/8)t^2 + C₂]sin(2t)

2) Linear differential equation: y''(x) + 4y'(x) + 5y(x) = 0

1a) To find the complementary solution of y(5) - y(3) = f(t), we need to find the homogeneous solution of the differential equation y(5) - y(3) = 0. We assume that y(t) = e^(rt) and substitute it into the differential equation to obtain the characteristic equation:

r^5 - r^3 = 0

r = 0, ±1

Since there are three distinct roots, the complementary solution is of the form:

y(t) = c₁ + c₂e^t + c₃e^(-t) + c₄cos(t) + c₅sin(t)

where c₁, c₂, c₃, c₄, and c₅ are constants.

1b) Using the method of undetermined coefficients, we can determine the particular solution of y(5) - y(3) = f(t) for each of the given functions f(t):

(i) f(t) = e^t

Assuming yp(t) = Ae^t, we obtain:

A(e^(5t) - e^(3t)) = e^t

A = 1/2

yp(t) = (1/2)e^t

(ii) f(t) = 2t^2

2A(t^5 - t^3) + 6B(t^3 - t) + 6C(t^2 - 1) = 2t^2

A = 1/5, B = 0, C = 2/15

yp(t) = (1/5)t^2 + (2/15)

(iii) f(t) = (3t+2)cos(2t)

A''(t)cos(2t) + B''(t)sin(2t) + 4A'(t)sin(2t) - 4B'(t)cos(2t) = (3t+2)cos(2t)

A(t) = (3/20)t^2 + (1/4)t + C₁

B(t) = -(3/40)t^3 + (1/8)t^2 + C₂

yp(t) = [(3/20)t^2 + (1/4)t + C₁]cos(2t) - [(3/40)t^3 + (1/8)t^2 + C₂]sin(2t)

2) The given general solution is:

y(x) = C₁e^x + C₂xe^x + C₃e^(-x)cos(2x) + C₄e^(-x)sin(2x)

y'(x) = C₁e^x + C₂(e^x + xe^x) - C₃e^(-x)sin(2x) + C₄e^(-x)cos(2x)

y''(x) = C₁e^x + C₂(2e^x + xe^x) + C₃e^(-x)cos(2x) - C₄e^(-x)sin(2x)

(C₁ + C₂ + C₃ + C₄)e^x + (2C₂ + C₂x - C₃sin(2x) + C₄cos(2x))e^x + (-C₁ + 2C₂ - C₃cos(2x) - C₄sin(2x))e^(-x) = 0

Since this equation must hold for all values of x, we obtain the following system of equations:

C₁ + C₂ + C₃ + C₄ = 0

2C₂ - C₁ - C₃cos(2x) - C₄sin(2x) = 0

C₂x - C

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Answer:

Below

Step-by-step explanation:

Formula :     FV = PV ( 1 + i)^n      <====you just have to LEARN/KNOW this

         FV = future value = ?      PV = present value = 5000

          Periods per year 4      n = periods = 40

           interest per period in decimal form  .065/5

Plug in the values :

FV = 5000 (1 + .065/4)^40 = 9527.79 dollars

Answer:

x= 2/7

Step-by-step explanation:

i think that's the answer jdmsmzmsms

Answer:

Step-by-step explanation:

x=7/2

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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The statement "Increasing N increases the real effect of the independent variable" is false.

Increasing N, which presumably refers to the sample size or number of observations, does not necessarily increase the real effect of the independent variable. The real effect of the independent variable is determined by the nature of the relationship between the independent and dependent variables, not solely by the sample size.

In statistical analysis, increasing the sample size can lead to more precise and reliable estimates of the effect of the independent variable. With a larger sample size, the estimates of the effect tend to have smaller standard errors and narrower confidence intervals, which indicates more precision.

However, the actual effect of the independent variable remains unchanged.

The real effect of the independent variable is determined by the true relationship between the variables in the population. It is possible to have a strong and meaningful effect of the independent variable even with a small sample size if the relationship is robust.

Conversely, increasing the sample size does not necessarily make a weak or non-existent effect of the independent variable stronger or more significant.

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We can clearly see that the area must be more than \($\frac{8 \pi}{3}$\), and the only such answer is \(3 \pi\).

Part of what Spot can reach is \($\frac{240}{360}=\frac{2}{3}$\) of a circle with radius 2, which gives him \($\frac{8 \pi}{3}$\). He can also reach two\($\frac{60}{360}$\)parts of a unit circle, which combines to give \($\frac{\pi}{3}$\). The total area is then \($3 \pi$\).

A circle is a two-dimensional closed shape in which the set of all points in the plane is equidistant from a particular point known as the "centre."

A Sphere is a three-dimensional object, whereas a Circle is a two-dimensional figure. All points in a circle are the same distance from its center along a plane, whereas all points in a sphere are equidistant from the center along any of the axes.

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Answer:

96.9

(please give brainliest)

Answer:

The cost increase by $0.95 for every mile driven.

Step-by-step explanation:

Given the equation, y = 0.95x + 102:

Where:

y = total cost of renting the car

0.95 = rate of change

x = number of miles driven

102 = initial value or flat fee, if the rental car is driven 0 miles.

Since the rate of change is 0.95, then it means that for every x mile driven, the cost will increase by $0.95.  

Pleasemark my answers as the Brainliest of you find this helpful :)

Answer:

11

Step-by-step explanation:

11

since it asks the absolute value of -11 it

will be 11 because in absolute value-for negatives it always positive.

Answer:

see attached

Step-by-step explanation:

B. False

A two-sided test will reject the null hypothesis at the 0.05 level of significance when the value of the population mean falls outside the critical region defined by the rejection region. The rejection region is determined based on the test statistic and the desired level of significance. The 95% confidence interval, on the other hand, provides an interval estimate for the population mean and is not directly related to the rejection of the null hypothesis in a two-sided test.

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The exponential matrix of Sx as e(Sx t) = (PDP-1)t, where D is the diagonal matrix containing Sx's eigenvalues and P is the matrix containing Sx's eigenvectors. Accordingly, X(t) = | 11 0 | | 0 2 | | - 1/2 - 3/2 | | 1 - 2 | | 2 | | - 5 | x(t) y(t) =

It is necessary to determine the corresponding eigenvalues of V1 and V2 L-1, which are the eigenvectors of the matrix. The characteristic equation for Sx is therefore equal to 0 when the matrix Sx = | 8 3 | | 2 5 | is solved to give 1 = 11 and 2 = 2. Besides, given a differential condition framework like: 8x times 3y is dx/dt; The next step is to determine the solution of X, which can be found by employing the formula X(t) = e(Sx t) X(0).

We can write dy/dt = 2x + 5y as a matrix as dX/dt = Sx X, where X = | x | | y | and Sx = | 8 3 | | 2 5 | We first compute the exponential matrix of Sx as e(Sx t) = (PDP-1)t, where D is the diagonal matrix containing Sx's eigenvalues and P is the matrix containing Sx's eigenvectors, in order to solve the linear differential equations with initial conditions of x(0) = 2 and M(0) = -5. As a result, X(t) = | 11 0 | | 0 2 | | - 1/2 - 3/2 | | 1 - 2 | | 2 | | - 5

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Answer:

y=x times factor of 12 abstracted by -93

Step-by-step explanation:

The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1.

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

As per the given, y = x

The x's coefficient is 1 thus slope will be 1.

Or, y/x = 1

Hence "The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1".

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