Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest whole number, if necessary. The circle has a diameter of 70 in.

(a) circumference:
(b) area:

Answer:

It’s an hour

Answer:

11:15 to 12:15 is 1 hour.

11:15 is 1 hour and 15 minutes after 10:00. 12:15 is 1 hour and 15 minutes after 11:00. Therefore, the time span between 11:15 and 12:15 is 1 hour.

Step-by-step explanation:

Answer: 2,977,200 miles per hour

Step-by-step explanation: This is true because taking that that is miles per second there is 60 seconds in a minute so times that by 60 and there are 60 minutes in an hour so times that last answer by 60 again which gives you the answer

Answer:

The final cost of her pizza is $11.90

Step-by-step explanation:

First we need to convert 15% into a decimal, which is 0.15.

Now we multiply $14 and 0.15.

$14 × 0.15 = $2.10.

Now we subtract $2.10 from $14.00.

$14.00 - $2.10 = $11.90

Using inequality, we know that Mia needs to buy 41 sets of knives.

So, the number of sets of knives Mia could buy:

At least 657 knives are required by the restaurant, so:

The difference is:

Now, solve as follows:

Rounding off: 41

Therefore, using inequality, we know that Mia needs to buy 41 sets of knives.

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Answer:

C ≈ 25.1 yd

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )

Answer:

25.1

Step-by-step explanation:

Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd

π = 3.14
=  2 x π x r
= 2 x 3.14 x 4
= 25.12

Rounded up:
= 25.1

The integral is convergent. The integral, we get: \(\[\int\limits_{\infty }^{v}\frac{dv}{v^{2}(2v-3)^{2}}=-\frac{B}{3}+\frac{1}{18D}\]\)

The integral is given as: \(\[\int\limits_{\infty }^{v}\frac{dv}{v^{2}(2v-3)^{2}}\]\)

We will solve it using the partial fraction method.

Let A and B be two constants.

\(\[\frac{1}{v^{2}(2v-3)^{2}}=\frac{A}{v}+\frac{B}{v^{2}}+\frac{C}{2v-3}+\frac{D}{(2v-3)^{2}}\]\)

On simplification:

\(\[\frac{1}{v^{2}(2v-3)^{2}}=\frac{2A(2v-3)^{2}+Bv(2v-3)^{2}+Cv^{2}(2v-3)+Dv^{2}}{v^{2}(2v-3)^{2}}\]\[1=2A(2v-3)^{2}+Bv(2v-3)^{2}+Cv^{2}(2v-3)+Dv^{2}\]\)

Substituting the values of v as 0, 3/2, ∞, and - ∞, we get the values of A, B, C, and D.

The values of A, B, C, and D can be solved as follows:

When v = 0, 1 = D × 0.

Thus, D = ∞.

When v = 3/2, 1 = (2A × 0 + B × 0 + C × 9/4 + D × 9/4).

Thus, C + 9D/4 = 4/9.

If D is finite, C = 4/9 and D = 0.

When v = ∞, 0 = 4A.

Thus, A = 0.

When v = - ∞, 0 = - 4C.

Thus, C = 0.B and D remain unknown.

Let's solve the integral after assuming that B and D are non-zero.

Thus, the integral becomes:

\(\[\int\limits_{\infty }^{v}\frac{dv}{v^{2}(2v-3)^{2}}=\int\limits_{\infty }^{v}\left[ \frac{A}{v}+\frac{B}{v^{2}}+\frac{D}{(2v-3)^{2}} \right]dv\]\[=\int\limits_{\infty }^{v}\left[ \frac{B}{v^{2}} \right]dv+\int\limits_{\infty }^{v}\left[ \frac{D}{(2v-3)^{2}} \right]dv\]\[=\frac{B}{v}-\frac{D}{2(2v-3)}+\left[ \frac{1}{6D(2v-3)}+\frac{1}{2(2v-3)^{2}} \right]\]\)

On substituting the limit values v = ∞ and v = 1, we obtain:

\(\[\int\limits_{\infty }^{v}\frac{dv}{v^{2}(2v-3)^{2}}=-\frac{B}{3}+\frac{D}{3}+\frac{1}{18D}\]\)

If the integral is convergent or divergent, we will know by calculating the values of B and D.

Convergence or divergence of the integral is not possible if B = 0 and D = 0.

However, if D = 0, C is not infinite, implying that the integral is convergent.

On evaluating the integral, we get:

\(\[\int\limits_{\infty }^{v}\frac{dv}{v^{2}(2v-3)^{2}}=-\frac{B}{3}+\frac{1}{18D}\]\)

Hence, the integral is convergent.

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The probability that exactly 7 of them are 16 to 24 years old is 0.222

In this question we have been given a recent study of minimum wage earners found that 55% of them are 16 to 24 years old.

A random sample of 12 minimum wage earners is selected. we need to find the probability that exactly 7 of them are 16 to 24 years old.

Here, n = 12

p = 0.55

1 - p = 0.45

x = 7

Using binomial distrubution the required probability would be,

P = 12C7 * (0.55)^7 * (0.45)^(12 - 7)

P = 792 * 0.01522 * (0.45)^5

P = 792 * 0.01522 * 0.01845

P = 0.2224

Therefore, the required probability is 0.222

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The reasoning provided, "If you build it, they will come. You build it. Therefore, they will come," is an example of deductive reasoning.

Deductive reasoning is a logical process that involves drawing specific conclusions based on general principles, premises, or known facts. In this example, the premise is "If you build it, they will come," which establishes a cause-and-effect relationship. The subsequent statement, "You build it," serves as a confirmation of the premise. From these premises, the conclusion is drawn: "Therefore, they will come." The conclusion logically follows from the premises, making it an example of deductive reasoning.

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Answer:

The answer lies in the gradient.

Step-by-step explanation:

The gradient in this equation is -5/8. If any line has the same gradient as the equation above they are parallel because they have the same slant or tilt. Gradient determines if a line is parallel between linear line graphs. If the gradient between two linear line graphs are equal that means that they are parallel.

First identify what is the gradient of a line. The gradient is usually the number that is multiplied with x. In this case (-5/8x), -5/8 is the gradient.

Hope this help.

Answer:

hlo buddy

are u free now.. nhjm....

Answer:63 degrees

Step-by-step explanation:

90-27=63

There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.

The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

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Written as a comma-separated list, the answer is: 42, 48, 90 for right triangle.

Let x be the smallest angle of the right triangle. Then, the measure of the other acute angle is x + 6.

We know that the sum of the angles in a triangle is 180 degrees, and in a right triangle, one angle is always 90 degrees.
Therefore, x + (x + 6) + 90 = 180

Simplifying the equation, we get 2x + 96 = 180
Subtracting 96 from both sides, we get 2x = 84

Dividing by 2, we get x = 42
So the smallest angle of the right triangle is 42 degrees, and the other acute angle is x + 6 = 48 degrees.

Finally, the right angle is 90 degrees.
Therefore, the measures of all three angles are 42 degrees, 48 degrees, and 90 degrees.

Written as a comma-separated list, the answer is: 42, 48, 90.

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The probability of selecting a non-smoker is 6/62 or approximately 0.097 or 9.7%. The probability of selecting a non-smoker on the second draw is 5/61 or approximately 0.082 or 8.2%.

To find the probability of both events occurring (selecting a non-smoker, then another non-smoker), we multiply the probabilities together: 0.097 * 0.082 = 0.007954 or approximately 0.795%.

(a) The probability of a patient being a non-smoker can be calculated by dividing the number of non-smokers by the total number of patients. In this case, there are 62 patients, of which 56 are smokers. So, the number of non-smokers is 62 - 56 = 6. Therefore, the probability of selecting a non-smoker is 6/62.

(b) When drawing two patients' charts at random without replacement, the probability of selecting a non-smoker on the first draw is calculated by dividing the number of non-smokers by the total number of patients. After the first draw, there will be one less patient, so the number of remaining patients and non-smokers changes. To find the probability of selecting a non-smoker on the second draw, we divide the number of non-smokers remaining by the updated total number of patients.

To calculate the probability of both events occurring (selecting a non-smoker, then another non-smoker), we multiply the individual probabilities together. This multiplication gives us the joint probability of both events happening sequentially.

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Answer:

576 cubic inches

Step-by-step explanation:

a pyramids volume is represented by the formula

v = (lwh) / 3

where l is length w is width and h is height

all dimensions are 12 so we can start off by multiplying 12 3 times

1728 is what you get

then you must divide the total by 3

you get 576

your answer is 576 cubic inches

If the equilibrium constant (K) < 1 , then, the Gibbs free energy change(ΔG) is positive. So, option D is correct alternative.

The relative concentrations of reactants and products in a chemical reaction are gauged by the equilibrium constant (K), which is the case in this case. Typical chemical reactions are as follows:

aA + bB ⇌ cC + dD

The equilibrium constant is defined as:

\(K = \frac{[C]^c[D]^d }{ [A]^a[B]^b}\)

Where [A], [B], [C], and [D] are the molar concentrations of reactants and products at equilibrium, and a, b, c, and d are the stoichiometric coefficients of the balanced chemical equation.

The Gibbs free energy change (ΔG) is a measure of the amount of energy available to do useful work during a chemical reaction.

The following equation describes the relationship between the equilibrium constant (K) and the change in the Gibbs free energy (ΔG):

ΔG = -RTln(K)

Where R is the gas constant and T is the temperature.

If K < 1, then ln(K) is negative. So, to make the right-hand side of the equation negative, ΔG must be positive.

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The line parallel to the line x + 2y = 8 is y = -(1/2)x - 7 Or (1/2)x + 7 = - 7.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

The given line is x + 2y = 8 ⇒ 2y = - x + 8 ⇒ y = -(1/2)x + 8.

We know line parallel to each other have the same slope and it passing through (-2, - 6).

∴ - 6 = -(1/2)(-2) + b.

- 6 = 1 + b.

b = - 7.

So, The required line is y = -(1/2)x - 7.

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Answer:

x²=-8x-7

x²+8x+7=0

x²+7x+x+7=0

x(x+7)+1(x+7)=0

(x+1)(x+7)=0

either

x+1=0

x=-1

or

x+7=0

x=-7

The values of x that provide meaningful predictions for the output value y are given as follows:

c. Prediction values are meaningful only for X-values in (or close to the range of the original data.

Regression equations are built from a sample of a data-set, and are used to model the entire data.

Depending on the behavior of the data, the regression equation can be linear, quadratic, logistic, exponential, and so on...

These regression equations are not valid for all values of the input x, some conditions are given as follows:

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If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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The forecast of monthly receipts for July 2011, based on the given equation Y=450+10t, with t=1 in April of the same year, is 460.

The equation Y=450+10t represents a linear relationship between the monthly receipts (Y) and time (t), with an initial value of 450 and a constant rate of increase of 10.

By substituting t=1 in April, we can determine the number of months that have passed since the initial value. In April, t=1, so one month has passed since the initial value.

To find the forecast for July, we need to determine the value of Y when t=4 (July is four months after April). Plugging t=4 into the equation, we get Y=450+10(4) = 450+40 = 490.

Therefore, the forecasted monthly receipts for July 2011 would be 490.

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Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Answer:

D) V = 192 cm³

Step-by-step explanation:

V = \(\frac{lwh}{3}\)

V = \(\frac{(8)(8)(9)}{3}\) = \(\frac{576}{3}\)

V = 192 cm³

This systematic division of land into townships and sections allows for efficient land management, property ownership delineation, and legal descriptions of land parcels within the rectangular government survey system.

Sections and townships are integral components of the rectangular government survey system used in the United States to divide and manage land. They are related to each other in the following manner:

1. Township: A township is a square tract of land that measures 6 miles by 6 miles (36 square miles) and serves as a foundational unit within the survey system. Townships are designated by their position relative to a baseline and meridian reference point.

2. Section: Each township is further divided into 36 equal sections, each measuring 1 mile by 1 mile (640 acres). These sections are labeled from 1 to 36 and are numbered in a specific order from left to right and top to bottom within a township.

Thus, a township consists of 36 sections, with each section covering 640 acres. This systematic division of land into townships and sections allows for efficient land management, property ownership delineation, and legal descriptions of land parcels within the rectangular government survey system.

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Answer:

10x=1/2(x+3)

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

Answer:

4. t ≥0

5. x>0

6. k ≤ 3

7. r ≥ 2

8. v ≥ 7

Step-by-step explanation:

I hope this helps

Answer:

A

Step-by-step explanation: