8x^2-7=793 solve by taking square roots

The area of the shaded part in the circle will be 10840.99 ft².

The circumference = 2 * pi * r = 221.056

Use this fact to find r

2*pi*r =  221.056

Divide by pi

2*r =  221.056 / 3.141

2*r =  70.378      

Divide by 2

r = 35.19

Now that you have the radius of the inner circle, use it to find the area.

Area = pi * r^2

Area = 3888.37

Now we need the radius of the outer circle

r = 35.19 + 33.3

r = 68.49

Find the area of the other circle

Area = pi * 68.49^2

Area = 14729.36

Finally the area of the shaded region is the area of the large circle - the area of the small circle

Area of the shaded area = 14729.36- 3888.37

Area of the shaded area = 10840.99 to the nearest hundredth.

Learn more about area on:

https://brainly.com/question/25292087

#SPJ1

The sum of the first 10 terms of the sequence 2, 5, 25/2, ... is approximately 318.71.

To use the formula for the sum of a finite geometric series, we need to find the first term (a1), the common ratio (r), and the number of terms (n).

In this sequence, the first term is 2, and to find the common ratio, we can divide any term by its previous term. For example:

5/2 = 2.5

(25/2)/5 = 2.5

So the common ratio is 2.5.

The formula for the sum of the first n terms of a geometric sequence is:

\(S_n = \frac{ (a1 - a_{1} r^n)}{1 - r}\)

Substituting the values we found, we get:

\(S_{10} = \frac{(2 - 2*(2.5)^{10})} {(1 - 2.5)}\)

S_10 ≈ 318.72

Rounding to the nearest hundredth, we get:

\(S_{10} = 318.72 = 318.71\)

Therefore, the sum of the first 10 terms of the sequence is approximately 318.71.

Learn more about Sequence:

https://brainly.com/question/28036578

#SPJ1

Answer:

75%

Step-by-step explanation:

Answer:

5 out of 9

Step-by-step explanation:

The side lengths of an equiangular octagon are 1, 2, 3, 4, 1, 2, 3, and 4 in clockwise order so area of octagon is 11 + 12√2 square units.

The sides of octagon are 1, 2, 3, 4, 1, 2, 3, 4 as shown in the figure,

The area of the octagon = area of the rectangle - the area of the four right isosceles triangular corners.

A = (lxb) - 1/2[√2×√2 + √8×√8]x2

A = [(3+√2+√8)(1+√2+√8)] -1/2[√2×√2 + √8×√8 + √2×√2 + √8×√8]

A = 3 + 12√2 +7

A = 11 + 12√2

Therefore, The area of the octagon is 11 + 12√2 square units.

A closed two-dimensional shape having eight sides, eight vertices, and eight internal angles is known as an octagon. An octagon is referred to as a regular octagon if all of its sides and internal angles are of equal length; otherwise, it is referred to as an irregular octagon. The next sections also discuss the various octagon types, such as convex and concave octagons.

Learn more about Area of octagon:

https://brainly.com/question/860089

#SPJ4

Vector is to scalar as displacement is to distance.

A vector quantity has both magnitude and direction. A scalar quantity has only magnitude and no direction. Displacement is the measure of distance between initial and final points in a particular direction. Distance is length between initial and final points no matter the direction.

here, we have,

Displacement is to distance is as vector is to scalar because displacement is a vector quantity and and distance is scalar version of displacement. Of the other options speed is a scalar quantity and velocity is a vector quantity and none of them arranged in the form of vector is to scalar.

Therefore, Vector is to scalar as displacement is to distance.

To know more about scalar and vector quantities

brainly.com/question/774036

#SPJ1

Answer:

10%

Step-by-step explanation:

The multiples of 2 are 2,4,6,8,10, and so on

The multiples of 5 are 5, 10, 15, 20 , 25, and so on

It is evident that the only one that matches up between 1-10 is 10.

There are 10 options, and our chances are random. There is only 1 option for it to be a multiple of both 2 and 5. Therefore, the probability is 1/10, or 10%

==================================================

Work Shown:

C(x+2) - (x+2)(x-2) = 0

(x+2)(C-(x-2)) = 0

(x+2)(C-x+2) = 0

x+2 = 0 or C-x+2 = 0

x = -2 or x = C+2

If we want one solution only, then we must make C+2 = -2 which solves to C = -4

If C = -4, then x = C+2 = -4+2 = -2 which matches with the first solution mentioned. If C is anything else but -4, then we'd have two different solutions (eg: C = 10 leads to x = C+2 = 12 as the other solution)

External validity refers to the extent to which study findings can be generalized to the larger population. If a study lacks external validity, its findings may not apply beyond the specific sample and conditions studied.

External validity refers to the extent to which the findings of a study can be generalized to a larger population beyond the sample that was studied. When a study's sample is not generalizable to the rest of the population, it means that the characteristics and behaviors observed in the sample may not accurately represent those of the larger population.

There are several factors that can affect the external validity of a study. One key factor is the sampling method used to select participants. If the sample is not representative of the population in terms of relevant characteristics, such as age, gender, or socioeconomic status, then the findings may not be applicable to the broader population.

Another factor is the study setting and conditions. If the study is conducted in a controlled laboratory environment or under specific conditions that do not reflect real-world situations, the findings may not be applicable to real-life contexts.

Furthermore, the specific time period in which the study is conducted can also impact external validity. Social, cultural, and environmental factors can change over time, and findings from a study conducted in one era may not hold true in a different time period.

In summary, if a study lacks external validity, it means that the findings cannot be generalized to the broader population due to limitations in the sampling method, study conditions, or time period.

To learn more about sampling method visit:

https://brainly.com/question/16587013

#SPJ11

The correct answer is option C) A multiple regression was performed for a data set with 4 variables and 84 observations. The P-value for the F test was p = 0.001. This means some of the coefficients in the model are nonzero.

This is because the model is significant according to the P-value for the F test (p = 0.001), which is less than the generally accepted alpha limit of 0.05.

This indicates that at least one of the model's coefficients is statistically significant and nonzero. It does not necessarily follow that all of the model's coefficients are nonzero, though.

There's a chance that one or more of the variables aren't significantly influencing the model.

In that instance, additional research would be required to identify the variables that are actually influencing the model.

To learn more about regression visit:

https://brainly.com/question/30401933

#SPJ4

Answer:

(12. 21)

Step-by-step explanation:

Given the coordinate (5, 9), if it is dilated by a factor of 2, the resulting coordinate will be expressed as;

P = 2(5, 9)

P = (2(5), 2(9))

P = (10, 18)

If it is now translated 3 up and 2 right, then the final coordinate will be at;

P' = (10+2, 18+3)

P' = (12, 21)

Hence the final image will be at (12. 21)

Answer:

8.41

Step-by-step explanation:

Answer:

it's 8.41

Step-by-step explanation:

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To know more about Inflation visit -

brainly.com/question/31193547

#SPJ11

Answer:

none of these

Step-by-step explanation:

tan(7π/6)

tan(180*7/6)

tan(30*7)

tan(210)

tan(360-150)

-tan 150

-(-1/\(\sqrt{3\))

1/\(\sqrt{3\)

Step-by-step explanation:

\( \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) \)

as this angle lies in the third quadrant and tan x is positive in the third quad.

\( = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\

\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\

= \frac{\sqrt{3} }{ 3 } \)

option 4.

as when u multiply both the numerator and denominator by root 3 u get the desired result

The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

To know more about the right circular cylinder, here

https://brainly.com/question/12762578

#SPJ4

The solution to the initial value problem is:

y(t) = \(e^{(-t)}\)(1/2 cos(t) + 1/2 sin(t)) + (1/2) for 0 ≤ t < π and t ≥ 2π

y(t) = \(e^{(-t)}\)(π-2)/2)sin(t) + ((π+2)/2) + ((π-2)/2)t for π ≤ t < 2π.

To solve this initial value problem, we will use the method of undetermined coefficients to find a particular solution to the non-homogeneous differential equation. Then, we will combine the particular solution with the general solution to the homogeneous equation to get the complete solution.

Homogeneous equation:

y'' + 2y' + 2y = 0

Characteristic equation:

r² + 2r + 2 = 0

Solving for r using the quadratic formula:

r = (-2 ± √(4 - 8))/2

r = -1 ± i

General solution to the homogeneous equation:

y_h(t) = \(e^{(-t)}\)(c1 cos(t) + c2 sin(t))

Particular solution:

We have h(t) = 1 for 0 ≤ t < π and t ≥ 2π, and h(t) = π for π ≤ t < 2π. Since h(t) is not a solution to the homogeneous equation, we assume a particular solution of the form yp(t) = A for 0 ≤ t < π and t ≥ 2π, and yp(t) = Bt for π ≤ t < 2π.

Taking derivatives of yp(t):

yp'(t) = 0 for 0 ≤ t < π and t ≥ 2π, and yp'(t) = B for π ≤ t < 2π.

yp''(t) = 0 for all t.

Substituting into the differential equation:

yp''(t) + 2yp'(t) + 2yp(t) = h(t)

0 + 2B + 2A = 1 for 0 ≤ t < π and t ≥ 2π

0 + 2B + 2A = π for π ≤ t < 2π.

Solving for A and B:

A = 1/2 for 0 ≤ t < π and t ≥ 2π

A = (π-2)/2 for π ≤ t < 2π

B = -1/2 for 0 ≤ t < π and t ≥ 2π

B = (π+2)/2 for π ≤ t < 2π

Particular solution:

yp(t) = (1/2) for 0 ≤ t < π and t ≥ 2π

yp(t) = ((π-2)/2)t for π ≤ t < 2π.

Complete solution:

y(t) = yh(t) + yp(t)

y(t) = \(e^{(-t)}\)(c1 cos(t) + c2 sin(t)) + (1/2) for 0 ≤ t < π and t ≥ 2π

y(t) = \(e^{(-t)}\)(c1 cos(t) + c2 sin(t)) + ((π-2)/2)t + ((π+2)/2) for π ≤ t < 2π.

Using the initial conditions:

y(0) = 0 gives c1 = (1/2)

y'(0) = 1 gives c2 = 1/2

y(t) = \(e^{(-t)}\)(1/2 cos(t) + 1/2 sin(t)) + (1/2) for 0 ≤ t < π and t ≥ 2π

y(t) = \(e^{(-t)}\)(π-2)/2)sin(t) + ((π+2)/2) + ((π-2)/2)t for π ≤ t < 2π.

Know more about separation of variables method here

brainly.com/question/30573294#

#SPJ11

Answer: $195 in debt

Step-by-step explanation:

$225+$120= $345

$345-$150= $195

Answer:

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Step-by-step explanation:

irst want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.

For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5

Answer:

X=-3

Step-by-step explanation:

-3^3 is -27

Answer:

x³ = -27

x³×⅓ = -3³

x = -3³×⅓

x = -3

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Answer:

r = √(A/π)

Step-by-step explanation:

HI

I WANT AN ANSWER THAT

HOW WILL I MAKE r the subject of the formula

A= ½πr²,

inverse formula

r = √(A/π)

Lily's statement that she can model the data for the number of vehicles per day to a normal distribution because the distribution is symmetric is not entirely correct.

A normal distribution, also known as a Gaussian distribution, is symmetric, meaning it is evenly distributed around its mean. However, symmetry alone does not guarantee that the data follows a normal distribution. Other factors need to be considered, such as skewness and kurtosis. Skewness measures the lack of symmetry in a distribution. If the data is perfectly symmetric, the skewness will be zero. However, if the data is skewed to the right or left, indicating a long tail on one side, it deviates from a normal distribution.

Kurtosis measures the "tailedness" of a distribution. A normal distribution has a kurtosis of 3, which is referred to as mesokurtic. If the kurtosis is less than 3 (platykurtic), the distribution has lighter tails than a normal distribution. If the kurtosis is greater than 3 (leptokurtic), the distribution has heavier tails.

To determine if the data can be modeled as a normal distribution, Lily should analyze the skewness and kurtosis of the data. If the skewness and kurtosis are close to zero and 3, respectively, the data may reasonably follow a normal distribution. However, if there is significant skewness or kurtosis, alternative distribution models might be more appropriate.

Learn more about normal distribution here: brainly.in/question/1804784
#SPJ11

The value of x that results in short circuit evaluation, causing (y < 4) not to be evaluated, is any value that is greater than or equal to 7.

Short Circuit Evaluation is a concept in computer programming where certain expressions are evaluated only if necessary.

In this case, the expression (x >= 7) (y < 4) 678, we need to find the value of x that results in short circuit evaluation and causes (y < 4) not to be evaluated.

In this expression, the first expression (x >= 7) is evaluated first. If the value of x is greater than or equal to 7, then the expression is considered true and the evaluation process moves to the next expression (y < 4).

However, if the value of x is less than 7, then the expression is considered false and the evaluation process stops.

In this case, (y < 4) is not evaluated because the result of the expression is already known to be false, and therefore, evaluating it would be a waste of resources.

If x is less than 7, then (y < 4) will be evaluated. It is important to keep in mind that short circuit evaluation is a technique used to optimize the evaluation process and make it more efficient.

To know more about expression here.

https://brainly.com/question/14083225

#SPJ4

Answer:

d

Step-by-step explanation:

y=2-x

because

7=2-(-5)

7=7

The expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

As we know with the help of associative property we can group the terms of addition or multiplication.

a + (b + c) = (a + b) + c

Option (C)

= (2 + 3) + 4

After using the associative property:

= 2 + (3 + 4)

Thus, the expression (2 + 3) + 4 = 2 + (3 + 4) illustrates the associative property of addition option (C) is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

Answer:

x=-60

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

1/3 x = -20  Multiply both sides by 3

3(1/3) x = 3(-20)

x = -60

Check

1/3(-60) = -20

-20 = -20

Answer:

$3

Step-by-step explanation:

80% of 15 is 12

15-12=3