if 8 apples cost 6$ how much does 1 apple cost

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

The probability of:

The probabilities are found as follows:

Area of region A = πB² - πA²

Area of region A = π(4² - 2²)

Area of region A = 12π

The total area of the figure is the area of the largest circle with radius 8 inches:

Total area = π(8²)

Total area = 64π

The probability of a point randomly chosen in region A = 12π / 64π

The probability of a point randomly chosen in region A = 3/16

Area of region A or B = π(4²)

Area of region A or B = 16π

The probability of a point randomly chosen in region A or B = 16π / 64π

The probability of a point randomly chosen in region A or B = 1/4

Area of region B = π(6² - 4²)

Area of region B = 20π

The probability of a point randomly chosen in region B = 20π / 64π

The probability of a point randomly chosen in region B = 5/16

Area of region A, B, or C = πC²

The probability of a point randomly chosen in region A, B, or C = πC² / 64π

The probability of a point randomly chosen in region A, B, or C = 9/16

Area of region C = π(8² - 6²)

Area of region C = 28π

The probability of a point randomly chosen in region C = 28π / 64π

The probability of a point randomly chosen in region C = 7

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Answer:

3√10

Step-by-step explanation:

\(GM=\sqrt{(3\sqrt{5})(6\sqrt{5})}=\sqrt{18*5}=\sqrt{90}=3\sqrt{10}\)

Answer:   \(3\sqrt{10}\)

Work Shown:

Part 1

\(g = \text{geometric mean of x and y}\\\\g = \sqrt{\text{x}\text{y}}\\\\g = \sqrt{3\sqrt{5}*6\sqrt{5}}\\\\g = \sqrt{(3*6)*(\sqrt{5}*\sqrt{5})}\\\\g = \sqrt{18\sqrt{5*5}}\\\\g = \sqrt{18\sqrt{5^2}}\\\\g = \sqrt{18*5}\\\\g = \sqrt{90}\\\\\)

Part 2

\(g = \sqrt{90}\\\\g = \sqrt{9*10}\\\\g = \sqrt{9}*\sqrt{10}\\\\g = 3\sqrt{10}\\\\\)

we can use the method of undetermined coefficients. Let's start by finding the complementary solution to the homogeneous equation:

Using the quadratic formula, we find the roots:

r = (-2 ± sqrt(2^2 - 4*1*5)) / (2*1)

  = (-2 ± sqrt(-16)) / 2

  = (-2 ± 4i) / 2

  = -1 ± 2i.

Therefore, the complementary solution is:

y_c(t) = e^(-t) * (c1*cos(2t) + c2*sin(2t)).

Now, let's find the particular solution for the non-homogeneous equation using undetermined coefficients. Since we have e^(-t) * cos(2t) in the right-hand side, we assume the particular solution has the form:

y_p(t) = (A*t + B) * e^(-t) * cos(2t) + (C*t + D) * e^(-t) * sin(2t).

Now, we'll differentiate y_p(t) twice to find the derivatives needed for the equation:

y_p'(t) = [(-A*t - B + A - 2B*t)*e^(-t) + (A*t + B)*(-e^(-t))]*(cos(2t))

         + [(C*t + D - C - 2D*t)*e^(-t) + (C*t + D)*(-e^(-t))]*(sin(2t))

       = [(A - B + (A - 2B)*t)*e^(-t) - (A*t + B)*e^(-t)]*cos(2t)

         + [(C - D + (C - 2D)*t)*e^(-t) - (C*t + D)*e^(-t)]*sin(2t)

       = [(2A - 3B + (2A - 4B)*t)*e^(-t)]*cos(2t)

         + [(2C - 3D + (2C - 4D)*t)*e^(-t)]*sin(2t).

y_p''(t) = [((2A - 4B)*e^(-t) + (2A - 4B)*e^(-t) + (2A - 4B)*e^(-t) - (2A - 4B)*e^(-t)*t)*cos(2t)

         - (2A - 4B)*e^(-t)*cos(2t)]

         + [((2C - 4D)*e^(-t) + (2C - 4D)*e^(-t) + (2C - 4D)*e^(-t) - (2C - 4D)*e^(-t)*t)*sin(2t)

         - (2C - 4D)*e^(-t)*sin(2t)]

       = [8B*e^(-t)*t*cos(2t) - 4B*e^(-t)*cos(2t)]

         + [8D*e^(-t)*t*sin(2t) - 4D*e^(-t)*sin(2t)]

       = 4B*(2t*e^(-t)*cos(2t) - e^(-t)*cos(2t))

         + 4D*(2t*e^(-t)*sin

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Using the arrangement formula, it is found that there are \(28! = 3.05 \times 10^{29}\) possible seating arrangements.

The number of possible arrangements of n elements is given by the arrangement formula, as follows:

\(A_n = n!\)

In this problem, 28 students are arranged on 28 desks, hence \(n = 28\), and:

\(A_{28} = 28! = 3.05 \times 10^{29}\)

Hence, there are \(28! = 3.05 \times 10^{29}\) possible seating arrangements.

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Answer:

x ≈ 11.89

Step-by-step explanation:

Using the cosine rule

x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )

    = 16 + 81 - 72cos128°

     = 97 - (- 44.33 )

      = 141.33 ( take the square root of both sides )

x = \(\sqrt{141.33}\) ≈ 11.89 ( to 2 dec. places )

Answer:

d. None of these

Step-by-step explanation:

A perfect example of a fraction, when written as a decimal gives repeating decimals, is 1/3.

If 8x ≤ g(x) ≤ 4x4 − 4x2 + 8 for all x,  x will be evaluated as lim x→1 g(x), 1 is 8.

To evaluate the limit of g(x) as x approaches 1, we must first examine the given inequality. It states that if 8x is less than or equal to g(x), and g(x) is less than or equal to 4x4 - 4x2 + 8, then this is true for all x.

Calculating the limit of g(x) as x approaches 1, we start by substituting x = 1 into the given inequality. This gives us 8(1) ≤ g(1) ≤ 4(1)4 - 4(1)2 + 8. Simplifying, this gives us 8 ≤ g(1) ≤ 8, so g(1) must be equal to 8.

Therefore, the limit of g(x) as x approaches 1 is 8.

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Answ  Find the distance between the following pairs of points:

           (i) (2, 3), (4, 1) (ii) (–5, 7), (–1, 3) (iii) (a, b), (–a, –b)Sol. (i) Here x1 = 2, y1 = 3, x2 = 4 and y2 = 1         ∴ The required distance         er:

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

there is 16 cups of water in a gallon

16/4=4

There will be 360 different ways without using the same airline or shipping line.

A combination in mathematics is a selection of items from a set with distinct members, where the order of selection is irrelevant.

Let's first consider the number of ways the man can choose his outbound journey. He has 6 airlines to choose from, and once he has made his choice of airline, he has 4 shipping lines to choose from.

Therefore, there are 6 × 4 = 24 ways he can choose his outbound journey.

For his return journey, he cannot use the same airline or shipping line that he used for his outbound journey.

This means he now has 5 airlines and 3 shipping lines to choose from. Therefore, there are 5 × 3 = 15 ways he can choose his return journey.

The total number of ways he can make his journey is:

24 × 15 = 360

Therefore, he can make his journey in 360 different ways without using the same airline or shipping line.

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Answer:

1. )0.35

2. )1.15

3.)0.5 (5 repeating's)

4.)2.72

Step-by-step explanation:

7 divide  20=0.35

-23 divide 20=1.15

-60 divide 22 = 2.727272 but it is 2.72

Answer:

x>7

Step-by-step explanation:

-2(x - 5) < -x + 3

-2x + 10 < -x + 3

-2x + x < 3 - 10

-x < -7

-x / -1 < -7 / -1

x > 7

Answer:

X < 7

Step-by-step explanation:

The value of the determinant of matrix(2A^2B^T) - 1 cannot be determined with the given information. None of the options can be concluded.

The determinant of a matrix is not directly related to the determinant of its transpose. Therefore, we cannot determine the value of det(2A^2B^T) - 1 without additional information about matrices A and B.

Given that det(A) = 1, we know the determinant of matrix A. However, the determinant of matrix B being singular does not provide enough information about the individual elements or properties of B to determine the value of det(2A^2B^T) - 1.

Therefore, based on the given information, we cannot conclude any of the options provided: None of the mentioned (a) would be the correct answer. To determine the value of det(2A^2B^T) - 1, we would need additional information about the matrices A and B, such as their specific values or properties.

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Answer:

$6 + .50x = $2 + $1.00x

4 = .50x

8hr = x, the number of hours when both garages cost the same amount

$6 + .50 x 8 =

$10 would be the cost a both garages after 8 hours

Step-by-step explanation:

#A

Equation in slope intercept form

#B

Equation in slope intercept form

Now for compare take any no

Let's take 10

For garage A

For garage B

Hence Garage B is charging more

Answer:

When two lines intersect and form 4 angles at the intersection, the two angles that are opposite each other are called “opposite angles” or “vertical angles” and these vertical angles are “congruent” – meaning they have the same shape and size.

Step-by-step explanation:

Answer:

Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

Step-by-step explanation:

The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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Answer:

The answer is B you have to multiply each side 1120ft 3

The derivative of the given expression is \(6(z^3 + i)(z^2)\).

the derivative of the given expression is\(6(z^3 + i)(z^2)\). To differentiate the given expression, we will use the power rule and chain rule of differentiation.

Let's break down the expression step by step:

1. First, let's find the derivative of\((z^3 + i)^2\). Using the power rule, we multiply the exponent by the coefficient and reduce the exponent by 1. The derivative of \((z^3 + i)^2 is 2(z^3 + i)^(2-1) * (3z^2)\).

2. Next, we need to find the derivative of (z³ + i)². This is where the chain rule comes in. We multiply the derivative of the outer function by the derivative of the inner function.

The outer function is \((z^3 + i)^2\), and its derivative is given by the result of

step 1.The inner function is \((z^3 + i)\), and its derivative is \(3(z^2)\).
Using the chain rule, we multiply the derivative of the outer function by the derivative of the inner function:
\([(z^3 + i)^2]' = 2(z^3 + i) * 3(z^2)\)
Combining like terms, we get:
\([(z^3 + i)^2]' = 6(z^3 + i)(z^2)\)

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Thunder from a bolt of lightning can travel 1/5 miles in one second.

Given, distance = 1/10 mile and

time = 1/2 second .

we need to find distance travelled in one second.

The distance travelled by thunder bolt from lightning in one second can be calculated using unitary method. So, to calculate we will relate the known distance with given time. Further, we will compare it at with desired time.

So, distance travelled in 1/2 second = 1/10 mile

Hence, distance travelled in 1 second = 1/10 ₊ 1/10

Shifting 2 to the numerator and 10 to the denominator. The new fraction will be -

Distance travelled in 1 second = 2/10 = 1/5

Distance travelled in 1 second = 1/5 mile

Hence, thunder from a bolt of lightning can travel 1/5 miles in one second.

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Answer:

7 5/8 km total

Step-by-step explanation:

4/8 + 7/8 + 12/8 + 12/8 + 12/8 + 14/8 = 61/8

61/8 = 7 5/8

I would appreciate Brainliest, but no worries.

Answer:

-2

Step-by-step explanation:

(7/2)-(4.5* 3) +8= -2

Answer: -2

Step-by-step explanation:

the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis

To determine if there is evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans, we can perform a hypothesis test. Let p1 be the proportion of Democrats who believe in the conspiracy theory, and p2 be the proportion of Republicans who believe in the conspiracy theory.

Let's set up the hypotheses:

Null hypothesis (H0): p1 - p2 = 0 (There is no difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

Alternative hypothesis (Ha): p1 - p2 ≠ 0 (There is a difference in the proportions of Democrats and Republicans who believe in the conspiracy theory)

We will use a two-sample proportion test to test these hypotheses. The test statistic for this test is given by:

\(\[ Z = \frac{\hat{p}_1 - \hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})(\frac{1}{n_1}+\frac{1}{n_2})}} \]\)

where:

- \(\( \hat{p}_1 \)\) and \(\( \hat{p}_2 \)\) are the sample proportions of Democrats and Republicans who believe in the conspiracy theory, respectively.

- n₁ and n₂ are the sample sizes of Democrats and Republicans, respectively.

- \(\( \hat{p} \)\) is the overall proportion of belief in the conspiracy theory, calculated as the total number of believers divided by the total sample size.

The p-value is the probability of observing a test statistic as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true.

Given the sample data:

Democrats: n₁ = 788 and \(\( \hat{p}_1 = \frac{137}{788} \)\)

Republicans: n₂ = 866 and \(\( \hat{p}_2 = \frac{105}{866} \)\)

Let's calculate the test statistic and the p-value:

Step 1: Calculate \(\( \hat{p} \)\):

Total number of believers = 137 + 105 = 242

Total sample size = 788 + 866 = 1654

\(\( \hat{p} = \frac{242}{1654} \)\)

Step 2: Calculate the test statistic (Z):

\(\[ Z = \frac{\frac{137}{788} - \frac{105}{866}}{\sqrt{\frac{242}{1654} \cdot \left(1 - \frac{242}{1654}\right) \cdot \left(\frac{1}{788} + \frac{1}{866}\right)}} \]\)

≈ -1.258

Step 3: Calculate the p-value using the standard normal distribution table for a two-tailed test.

To calculate the p-value, we need to find the probability that a standard normal distribution is less than or greater than the absolute value of the test statistic. Since the alternative hypothesis is two-sided (p1 ≠ p2), we will calculate the p-value as twice the probability of the test statistic being greater than the absolute value of the calculated z-value.

Using a standard normal distribution table or a statistical software, we find that the p-value is approximately 0.208.

Conclusion:

Since the p-value (0.208) is greater than the significance level (0.01), we fail to reject the null hypothesis. There is insufficient evidence to suggest that the proportion of voters who believe pharmaceutical companies invent diseases to make money is different for Democrats and Republicans.

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we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Answer:

w = \(\frac{p -2l}{2}\)

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

\(\frac{p -2l}{2}\) = w