The radius of the circle below is 5 inches. What is the diameter of the circle?

Answer:

Yes!

Step-by-step explanation:

Answer:

Step-by-step explanation:

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I have not cross-checked but the previous answers were:

"

For average daily balance:

Form date 9/1 to date 9/5 :

Balance x number of the days = $ 387.52 x 5 days = $ 1937.6

As on date 9/6 :

($ 387.52 - $ 50.00) x 1 day = $ 337.52

From date 9/7 to date 9/18 :

Balance = $ 337.50

Number of days = 12 days

Therefore, product = 12 days x $ 337.52

= $ 4050.24

As on 9/19 :

($ 337.52  + $ 62.66) x 1 day = $ 400.18

From date 9/20 to date 9/30

Balance :$ 400.18

Number of days = 11 days

Therefore, product = 11 days x $ 400.18

= $ 4401.98

Average daily balance

=  ($ 1937.6 +  $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30

= $ 370.91

Finance charge = $ 370.91 x 1.75 %

= $ 6.49

New balance = $ 370.91 + $ 6.49

= $ 377.4

"

The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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Answer:

top left graph

Step-by-step explanation:

I plugged the equation into Desmos and got it

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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Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

The inverse Fourier transform of F₂(jw) is given by f₂(t) = δ(t - 1/4) + δ(t + 1/4).

(a) To find the inverse Fourier transform of F₁(jw) = 1/(3+w) + 1/(4-jw), we can use the linearity property of the Fourier transform.

The inverse Fourier transform of F₁(jw) can be calculated by taking the inverse Fourier transforms of each term separately.

Let's denote the inverse Fourier transform of F₁(jw) as f₁(t).

Inverse Fourier transform of 1/(3+w):

Using the table of Fourier transforms,

F⁻¹{1/(3+w)} = e^(-3t) u(t)

Inverse Fourier transform of 1/(4-jw):

Using the table of Fourier transforms, we have:

F⁻¹{1/(4-jw)} = e^(4t) u(-t)

Now, applying the linearity property of the inverse Fourier transform, we get:

f₁(t) = F⁻¹{F₁(jw)}

      = F⁻¹{1/(3+w)} + F⁻¹{1/(4-jw)}

      = e^(-3t) u(t) + e^(4t) u(-t)

Therefore, the inverse Fourier transform of F₁(jw) is given by f₁(t) = e^(-3t) u(t) + e^(4t) u(-t).

(b) To find the inverse Fourier transform of F₂(jw) = cos(4w + π/3), we can use the table of Fourier transforms and properties of the Fourier transform.

Using the table of Fourier transforms, we know that the inverse Fourier transform of cos(aw) is given by δ(t - 1/a) + δ(t + 1/a).

In this case, a = 4, so we have:

F⁻¹{cos(4w + π/3)} = δ(t - 1/4) + δ(t + 1/4)

Therefore, the inverse Fourier transform of F₂(jw) is given by f₂(t) = δ(t - 1/4) + δ(t + 1/4).

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By using the combination, we find that there are 3,315,312,000 possible passwords if a password contains exactly 7 letters and each letter can only be used once.

To determine the number of possible passwords, we need to consider the number of choices for each letter. Since the password contains exactly 7 letters and each letter can only be used once, the number of choices decreases with each letter chosen.

For the first letter, there are 26 choices (all 26 letters of the alphabet).

For the second letter, there are 25 choices remaining (since one letter has already been used).

For the third letter, there are 24 choices remaining.

And so on.

Using the principle of multiplication of combination, we can multiply the number of choices for each letter:

26 × 25 × 24 × 23 × 22 × 21 × 20

This calculates the total number of possible passwords without repeating any letters. Evaluating the expression gives us the final answer:

26 × 25 × 24 × 23 × 22 × 21 × 20 = 3,315,312,000

Therefore, there are 3,315,312,000 possible passwords if the password contains exactly 7 letters and each letter can only be used once.

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The correct option is D. Asking 80 owners their attitude toward a new design would be an example of a sample.

If a target population is defined as all 2,134 pickup truck owners residing in Tippecanoe County, then asking 80 owners their attitude toward a new design would be an example of a sample.

Because the survey is conducted on a limited group of people who represent the larger population. Therefore, the survey conducted on the sample represents the population as a whole. The sample is a representative subset of the entire population, which can be used to infer statistics and characteristics of the whole population. A statistical frame is a technique used to choose a representative sample of the population.

Asking only owners listed in the telephone directory would not be an example of a statistical frame. Instead, it would be an example of a bias selection because it excludes owners who are not listed in the telephone directory. Asking 100 owners their attitude toward a new truck style would not be an example of a consensus as consensus is a general agreement among the people.

However, the survey conducted on a sample can be used to find out a general consensus. Universal testing is not feasible because it would involve surveying each and every member of the population, which is both time-consuming and expensive.

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The complete question is:

The probability of selecting 46 students out of a college population where 65% still need to take another math class is 0.05433 or 5.433%.

The probability of selecting 46 students out of a college population of which 65% still need to take another math class can be calculated using the binomial probability formula. To calculate the probability, the following information is needed:

Using the binomial probability formula, we can calculate the probability of selecting 46 students out of a college population where 65% still need to take another math class as follows:

\(P(X=46) = (N!/((N-r)! * r!)) * (p^r) * (1-p)^(N-r)\)

\(= (100!/((100-46)! * 46!)) * (0.65^46) * (1-0.65)^(100-46)\)
\(= 0.05433\)

Therefore, the probability of selecting 46 students out of a college population where 65% still need to take another math class is 0.05433 or 5.433%.

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Responder: $ 352,800

Explicación paso a paso:

Paso uno:

La pregunta destinada a decir la dimensión de la parcela rectangular es 12 m de largo y 40 m de ancho - - - no 40 m de profundidad Primero, encontremos el área de la parcela rectangular

Área = L * W Área = 12 * 14

Superficie = 168m²

Segundo paso:

En segundo lugar, se nos dice que

1m² cuesta $ 2100 Por tanto,

168m² costarán x

Multiplicación cruzada que tenemos

X = 168 * 2100 X = $ 352,800

El costo del terreno es $ 352,800

Answer:

\(65.1\text{cm}^2\)

Step-by-step explanation:

Area of Rectangle

\(A=bh=(8\text{cm})(5\text{cm})=40\text{cm}^2\)

Area of Semicircle

\(\displaystyle A=\frac{\pi r^2}{2}=\frac{\pi (4\text{ cm})^2}{2}=8\pi\text{ cm}^2\)

Combined Area

\(A_{total}=A_{rectangle}+A_{semicircle}=40\text{cm}^2+8\pi\text{cm}^2\approx65.1\text{ cm}^2\)

The amount of money that will be needed more to buy the amount of cups and napkins by the teacher would be = $57.5

The amount of cups needed = 12 packages

The price per package of cup = $3.50

The total money needed for cup = 12× $3.50 = $42

The amount of napkins needed = 10 package

The price per package of napkins = $4.25

The total money needed for napkins = 10×4.25 = $42.5

The total amount needed = 42+42.5 = $82.5

The difference between the amount available and the total amount = the extra money needed ;

= 82.5-25 = $57.5

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Answer:

2(-x+4)+5x-3 = 11

-2x+8+5x-3=11

-2x+5x+8-3=11

-3x+5=11

-3x=11-5

-3x=6

x=6/-3

x=-3/1

or x=-3. answer

Step-by-step explanation:

please mark me brainliest please

Answer:

x = 3

Step-by-step explanation:

2(-x + 4) + 5x - 3 = 11​

~Simplify

-2x + 8 + 5x - 3 = 11

~Combine like terms

3x + 5 = 11

~Subtract 5 to both sides

3x = 6

~Divide 3 to both sides

x = 3

Best of Luck!

In order to solve this system using the inverse of a matrix, first let's put the system in the matrix form:

Now the system is in the form AX = B, where A, X and B are matrices.

To solve this system, we can do the following:

So we need to calculate the inverse matrix of A. We can do this as follows:

Now we have:

So the solution of this system is x = -2.5 and y = 0.5

Answer:

55kg of dinosaur nuggets cost $10.

1kg of dinosaur nuggets cost $0.18

165kg of dinosaur nuggets cost $29.70

Thank you and please rate me as brainliest as it will help me to level up

Answer: the solution is (-2.5,8.5)

Step-by-step explanation:

The point (2,3) does not lies on circle centered at the origin with radius 5.

Circle:

Circle is the round plane figure whose boundary known as the circumference consists of points equidistant from a fixed point called the center.

Given,

The point (2,3) lies on circle centered at the origin with radius 5.

Here we need to find the point lies on circle or not.

We know that, the equation of Circle

=> (x - h)² + ( y - k)² = r²

where (h , k)  is center & r is radius

Now, the circle that is centered at the origin can be written as, (h , k) = (0 , 0) and x² + y² = r² circle contains the point (2,3) with the radius 5.

Now, we have to apply these values on the equation, then we get

=> 2² + 3² = 5²

=> 4 + 9 = 25

=> 13 ≠ 25

Therefore, the point (2,3) does not lies on the circle at the radius of 5.

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Use distributive law

\(\boxed{\sf a(b+c)=ab+ac}\)

Now

\(\\ \sf\longmapsto 2x(x-y)+3y(x-y)\)

\(\\ \sf\longmapsto 2x^2-2xy+3xy-3y^2\)

\(\\ \sf\longmapsto 2x^2-3y^2-2xy+3x^2\)

\(\\ \sf\longmapsto 2x^2-3y^2+xy\)

Taking common

Answer: 2x (x-y) + 3y (x-y)

             = ( x-y ) ( 2x-3y )

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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The divergence of the vector field F(x, y, z) = −4 sin(11xy)i – cos(x^6 y)j is 11x cos(11xy) - 6x^5 y sin(x^6 y).

Divergence is a measure of the outflow of a vector field from a point or region of space. In 3D space, it is represented as the scalar dot product of the vector field with the del operator, and is given by the expression div F = ∇·F, where ∇ is the del operator and F is the vector field. The del operator can be represented in terms of the partial derivatives of the vector field with respect to its three independent variables, x, y, and z.

The vector field in this question is F(x, y, z) = −4 sin(11xy)i – cos(x^6 y)j. Therefore, we need to find the divergence of this vector field. Using the formula for divergence, we have:

div F = ∇·F= ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z = (−44xy cos(11xy)) + (−6x^5 y sin(x^6 y)) + 0= -44xy cos(11xy) - 6x^5 y sin(x^6 y)

Hence, the divergence of the vector field F(x, y, z) = −4 sin(11xy)i – cos(x^6 y)j is 11x cos(11xy) - 6x^5 y sin(x^6 y).

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Answer:

452.16 m²

Step-by-step explanation:

Given :-

Radius = 12 m

To Find :-

Area

Formula Required :-

Area (circle) = πr²

Solving :-

Area = 3.14 x 12 x 12

= 3.14 x 144

= 452.16 m²

Solution :-

452.16 m²

Answer:

144

Step-by-step explanation:

A=πr^2

Where:

A

is the Area of the Circle: what we are solving for in this problem.

r

is the Radius of the Circle: 12 meters for this problem

Substituting and calculating

A

gives:

A=π(12)^2m^2

A=π144m^2

A= 144m^2

This circle would have an area of 144 square meters.

Answer:

a)

\( \sin(2( \frac{5}{13} )) = 2 \sin( \frac{5}{13} ) \cos( \frac{5}{13} ) \)

b)

\( \cos( 2(\frac{5}{13}) ) = { cos }^{2} \frac{5}{13} - {sin}^{2} \frac{5}{13} \)

Answer:

yes

Step-by-step explanation:

Let's call the first integer n and let's compute.\(n^2 + (n+1)^2 + (n+2)^2 +(n+3)^2 = \\n^2 + \\n^2+2n+1 + \\\ n^2+4n+4 + \\\ n^2+6n+9+\\\ n^2+8n+16 =\\4n^2+20n +30 = 2 (2n^2+10n+15)\)

Which is indeed of the form 2(something), so it is even.

Answer:

3

Examples of Everyday Radiation

Visible light.

Infrared light.

Near ultraviolet light.

Microwaves.

Low frequency waves.

Radio waves.

Waves produced by mobile phones.

A campfire's heat.

A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.

The test statistic can be calculated as:

t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))

where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:

Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))

where s1 and s2 are the sample standard deviations.

Plugging in the values from the table, we get:

t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21

Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.

Plugging in the values from the table, we get:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)

= 0.56 ± 0.62

Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.

Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

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Answer:

$26.88

Step-by-step explanation:

25(1.075) ≈ 26.88

Answer:

You'd pay $26.88

Step-by-step explanation:

So, you do 7.5%(25).

Then, you have 1.875, which rounds to 1.88

Next, you add 1.88 to 25.

Finally, you got your answer, $26.88

A.  \(\frac{1}{5}\)

B. \((\frac{1}{4})^{5}\)

C. \((\frac{1}{4})^{5}\)

D. \(\frac{1}{(-7)^{2}}\)

An expression is a mathematical phrase that combines numbers, variables, and mathematical operations to represent a value or a set of values. It can be simple or complex, and it is often used in algebra to solve problems and represent mathematical relationships.

A. Given, ⇒ \(5^{3} . 5^{-4}\)              (using multiplication rule)

⇒ \(5^{3+(-4)} = 5^{-1}\) ⇒ \(\frac{1}{5}\)

B. Given, ⇒ \(\frac{3^{5} }{3^{-6}}\)                  (using division rule)

⇒ \(3^{5-(-6)}\) ⇒ \(3^{11}\)

C. Given, ⇒ \((\frac{1}{4})^{3} . (\frac{1}{4})^{2}\)         (using multiplication rule)

⇒  \((\frac{1}{4})^{3+2}\)⇒ \((\frac{1}{4})^{5}\)

D. Given, ⇒ \(\frac{(-7)^{5}}{(-7)^{7}}\)                 (using division rule)

\(= (-7)^{5-7} =(-7)^{-2}\)

⇒  \(\frac{1}{(-7)^{2}}\)

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For each simplify expression (A-D). tell whether or not tie expression has a value between O and t. A.  \(\frac{1}{5}\), B. \((\frac{1}{4} )^5\), C.    \((\frac{1}{4} )^5\), D. \(\frac{1}{(-7)^2}\)

An expression is a mathematical phrase that combines numbers, variables, and mathematical operations to represent a value or a set of values. It can be simple or complex, and it is often used in algebra to solve problems and represent mathematical relationships.

A. Given, ⇒\(5^{3}. 5^{-4}\)              (using multiplication rule)
⇒ \(5^{3(-4)} = 5^{-1}\)  ⇒ \(\frac{1}{5}\)
B. Given, ⇒ \(\frac{3^5}{3{-6}}\)                  (using division rule)
⇒ \(3^{5-(-6)}\) ⇒ \(3^{11}\)
C. Given, ⇒ \((\frac{1}{4} )^3. (\frac{1}{4} )^2\)         (using multiplication rule)
⇒ \((\frac{1}{4})^{3+2}\) ⇒ \((\frac{1}{4})^5\)
D. Given, ⇒  \(\frac{(-7)^5}{(-7)^7}\)               (using division rule)
=  \((-7)^{5-7} = (-7)^{-2}\)
⇒\((\frac{1}{(-7)^2} )\)

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The total number of people are 1064 to whom the single cell phone towers are assigned in a particular city.

In a graphical or tabular format, a frequency distribution displays the frequency of repeated entries. It provides a visual representation of the frequency of various items or counts their occurrences.

There are total of 44,700 people in the city and total of 42 cell ,

so to find out the number of people using single cell tower is,

Number of people on single cell tower = 44700/42

=1064.285 ≈ 1064 people

The gathered information is arranged in tables using the frequency distribution method. The information might include student grades, local weather information, volleyball match point totals, etc. We must provide data in a relevant way for improved understanding after data gathering. Create a table that contains a summary of all the data's characteristics. The term "frequency distribution" refers to this.

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