The latitude of the U.S. Embassy is 48° north of the equator. If the diameter of the earth is 7920 miles, how far is the U.S.
Embassy from the equator?

While discussing on a topic we need to understand, observe, practice and listen and participate in the topic. We should completely involve in the group discussion.

To involve in discussion more effectively we need to understand the topic first. We should explore ideas and exchange information. we should expand and clarify the knowledge. Need to improve the ability to think critically. We should improve  language skills. we need to be confident while speaking. We need to observe how do other students enter into the discussion. we need to identify the main ideas. An easy way to participate is to add to the existing discussion. Start by making small contributions. Do agree with what someone has said or disagree. Ask others to expand on their point.

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The p-value is option (A) 0.0500

Under the null hypothesis, the expected number of defective peaches in the sample of 400 would be:

p = 0.10 (since the null hypothesis assumes a maximum of 10% defective peaches)

n = 400

expected number of defective peaches = np = 0.10 x 400 = 40

We can then use the binomial distribution to calculate the probability of getting 50 or more defective peaches in a sample of 400, assuming that the null hypothesis is true.

P(X ≥ 50) = 1 - P(X < 50)

where X is the number of defective peaches in the sample, assuming the null hypothesis is true.

Using a binomial calculator or a statistical software, we can find:

P(X < 50) = 0.3081

Therefore,

P(X ≥ 50) = 1 - P(X < 50) = 1 - 0.3081 = 0.6919

This is the p-value of the hypothesis test. Since this is a one-tailed test , we can compare the p-value to the significance level, α. If α = 0.05, then the p-value is greater than α, which means we fail to reject the null hypothesis.

Therefore, the correct answer is A. 0.0500.

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The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

d

Step-by-step explanation:

The 2 marked angles are same- side interior angles and sum to 180° , then

2 + 27x +17x + 2 = 180 , that is

44x + 4 = 180 ( subtract 4 from both sides )

44x = 176 ( divide both sides by 44 )

x = 4 → d

Answer:

5*35+5=180

Step-by-step explanation:

Answer:

\(\begin{aligned} \textsf{1.} \quad f + g& = 5x + 2\\f - g& = x - 4\\f \circ g &= 6x + 8\\\dfrac{f}{g}&=\dfrac{3x-1}{2x+3}\end{aligned}\)

\(\begin{aligned}\textsf{2.} \quad f+g&=5x-12\\f-g&=-3x+2\\f \circ g&=4x-12\\\dfrac{f}{g}&=\dfrac{x-5}{4x-7}\end{aligned}\)

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

Function composition is an operation that takes two functions and produces a third function.

Therefore:

Given functions:

\(\begin{cases}f(x)=3x-1\\g(x)=2x+3\end{cases}\)

\(\begin{aligned} \implies f+g&=f(x)+g(x)\\&=(3x-1)+(2x+3)\\&=3x-1+2x+3\\&=3x+2x+3-1\\&=5x+2\end{aligned}\)

Domain of f + g:  (-∞, ∞)

\(\begin{aligned} \implies f-g&=f(x)-g(x)\\&=(3x-1)-(2x+3)\\&=3x-1-2x-3\\&=3x-2x-1-3\\&=x-4\end{aligned}\)

Domain of f - g:  (-∞, ∞)

\(\begin{aligned} \implies f \circ g&=f[g(x)]\\&=3[g(x)]-1\\&=3(2x+3)-1\\&=6x+9-1\\&=6x+8\end{aligned}\)

Domain of f o g:  (-∞, ∞)

\(\begin{aligned} \implies \dfrac{f}{g}&=\dfrac{f(x)}{g(x)}\\&=\dfrac{3x-1}{2x+3}\end{aligned}\)

Domain of f/g:  (-∞, -1.5) ∪ (-1.5, ∞)

Given functions:

\(\begin{cases}f(x)=x-5\\g(x)=4x-7\end{cases}\)

\(\begin{aligned}\implies f+g&=f(x)+g(x)\\&=(x-5)+(4x-7)\\&=x-5+4x-7\\&=x+4x-5-7\\&=5x-12\\\end{aligned}\)

Domain of f + g:  (-∞, ∞)

\(\begin{aligned}\implies f-g&=f(x)-g(x)\\&=(x-5)-(4x-7)\\&=x-5-4x+7\\&=x-4x+7-5\\&=-3x+2\\\end{aligned}\)

Domain of f - g:  (-∞, ∞)

\(\begin{aligned}\implies f \circ g&=f[g(x)]\\&=g(x)-5\\&=(4x-7)-5\\&=4x-7-5\\&=4x-12\end{aligned}\)

Domain of f o g:  (-∞, ∞)

\(\begin{aligned}\implies \dfrac{f}{g}&=\dfrac{f(x)}{g(x)}\\&=\dfrac{x-5}{4x-7}\end{aligned}\)

Domain of f/g:  (-∞, ⁷/₄) ∪ (⁷/₄, ∞)

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

\( \dfrac{28}{81} \)

Step-by-step explanation:

\(-\dfrac{4}{9}(-\dfrac{7}{9}) =\)

\( = \dfrac{4 \times 7}{9 \times 9} \)

\( = \dfrac{28}{81} \)

Answer: -6

Step-by-step explanation: y= 17x -6

y=17•0 -6

y= -6

Just multiply by zero to know where the line will cross

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

Answer:

Is the w2, w(2) or

\( {w}^{2} \)

?

If it's w(2) the answer is -4--8+1=-4+8+1=5

if it's w^2 then the answer would be 4--8+1=4+8+1=13

Answer:

80%

Step-by-step explanation:

you divide 4 and 5. Which equals 80

Answer:

80%

Step-by-step explanation:

Answer:

1800 grams

Step-by-step explanation:

1.8 × 1000 = 1800

To convert kg to g you have to multiply the mass value by 1000

hope it helps!

Answer:

half cent: 0.5%

3 cent: 3%

20 cent: 20%

50 cent: 50%

$2: 200%

$5: 500%

Step-by-step explanation:

The algebraic expression that represents the given phrase is b + 15 = 180.

The algebraic expression that represents the phrase "the sum of the number of boys and 15 girls is 180" is:b + 15 = 180Explanation:Let's assume that the number of boys is "b".

According to the question, the total number of students in the class can be calculated by adding the number of boys (b) to the number of girls (15) which is equal to 180 students.Using algebra,

we can write this statement as an equation: b + 15 = 180Hence, the algebraic expression that represents the given phrase is b + 15 = 180

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Anwer:

x=6

Step-by-Step Explaination:

In the diagram, one line is transversal of two parallel lines, so the value of a is 113°, value of b is 67° and value of c is 67°.

On a plane, lines that are parallel to one another never cross or come together. They are always parallel and equally spaced apart from one another. Parallel lines are lines that do not intersect. Lines are referred to as parallel if they never intersect and do not have a common intersection.

One line crosses two parallel lines in the diagram.

Angle an is the 113°'s vertically opposite angle.

Therefore, the angle's value is 113°.

Here, a and b have the same side interior angles since a line is transversal to two parallel lines.

So, a + b = 180°

⇒ 113° + b = 180°

⇒ b = 180° - 113°

⇒ b = 67°

And c is vertically opposite angle of b

So, the value of angle c = 67°

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Answer:

x = 12, -2

Step-by-step explanation:

subtract 24 from both sides then use quadratic formula

The position function F(t) is given as F(t) = (sin(6t), 4t, e^-t).

To find the velocity from the given position function, we need to find the derivative of the position function F(t).

Thus, the velocity function V(t) will be given by

V(t) = dF(t)/dt

= (6 cos(6t), 4, -e^-t).

Now, we can calculate the velocity of the given function F(t) by substituting the value of t in the expression of V(t).

So, when t = π/12,

we have

V(π/12) = (6 cos(π/2), 4, -e^(-π/12))

= (0, 4, -0.9403) (approximate up to 4 decimal places).

Therefore, the velocity of the given function F(t) at t = π/12 is (0, 4, -0.9403).

The velocity of a particle moving in space is a vector that describes the rate and direction of motion of the particle. In order to find the velocity of a particle, we need to know its position as a function of time.

The position function F(t) is given by

F(t) = (sin(6t), 4t, e^-t).

To find the velocity of the particle, we need to find the derivative of the position function F(t).

The derivative of a vector function is obtained by taking the derivative of each component separately.

Thus, the velocity function V(t) will be given by

V(t) = dF(t)/dt

= (6 cos(6t), 4, -e^-t).

The velocity function gives the velocity of the particle at any given time t. To find the velocity of the particle at a specific time t, we substitute that value of t into the velocity function. In this case, we are asked to find the velocity of the particle at t = π/12.

When t = π/12,

we have V(π/12)

= (0, 4, -0.9403) (approximate up to 4 decimal places).

Therefore, the velocity of the particle at t = π/12 is (0, 4, -0.9403).

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The probability that car A, car B, car C, and car D are used is 0.2. This is calculated by dividing the number of favorable outcomes (1) by the total number of possible combinations (5).

To find the probability that car A, car B, car C, and car D are used, we need to determine the total number of possible combinations and the number of favorable outcomes.

1. The total number of possible combinations can be found using the formula for combinations:

nCr = n! / r!(n-r)!
2. In this case, we have 5 cars available and need to select 4 cars, so the total number of combinations is 5C4 = 5! / 4!(5-4)! = 5.
3. The number of favorable outcomes is 1, as we want car A, car B, car C, and car D to be used together.
4. The probability is given by the number of favorable outcomes divided by the total number of possible combinations:

1/5 = 0.2.
The probability that car A, car B, car C, and car D are used is 0.2. This is calculated by dividing the number of favorable outcomes (1) by the total number of possible combinations (5).

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A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.

Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy

One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.

The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.

Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.  This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.

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The maturity date of the loan is July 31st.

To find the maturity date, you first need to find the number of days between May 11th and the maturity date. The loan was taken out for 82 days, so you add 82 days to May 11th to find the maturity date.

For example, if May 11th is day 1, then day 82 would be July 31st. Therefore, the maturity date of the loan is July 31st.

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Answer:

The answer should be 14.5

Step-by-step explanation:

Hope This Helps

Have A great day

~Zero~

The single integral in the form y b a fs(x) dx is:

∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx - ∫ y=2 to 5 fs(x) dx - ∫ y=1 to 21 fs(x) dx

To write the given expressions as a single integral in the form y b a fs(x) dx, let's break it down step by step.

1) y = 2 to 22: ∫ fs(x) dx

2) y = 1 to 5: ∫ fs(x) dx

3) y = 21 to 22: ∫ fs(x) dx

Now, to combine these integrals into a single expression, we need to find a common interval that encompasses all three given intervals.

The smallest common interval that covers all three intervals is from 1 to 22.

Therefore, we can rewrite the expressions as:

∫ y=2 to 22 fs(x) dx = ∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx

∫ y=5 to 2 fs(x) dx = -∫ y=2 to 5 fs(x) dx

∫ y=21 to 22 fs(x) dx = ∫ y=1 to 22 fs(x) dx - ∫ y=1 to 21 fs(x) dx

Combining these expressions, we get:

∫ y=2 to 22 fs(x) dx - ∫ y=5 to 2 fs(x) dx + ∫ y=21 to 22 fs(x) dx

= (∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx) - (-∫ y=2 to 5 fs(x) dx) + (∫ y=1 to 22 fs(x) dx - ∫ y=1 to 21 fs(x) dx)

= 2∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx - ∫ y=2 to 5 fs(x) dx - ∫ y=1 to 21 fs(x) dx

Therefore, y b a fs(x) dx, the single integral is:

∫ y=1 to 22 fs(x) dx - ∫ y=1 to 1 fs(x) dx - ∫ y=2 to 5 fs(x) dx - ∫ y=1 to 21 fs(x) dx

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Answer:

Its answer is option c.(3)

Answer:

c

Step-by-step explanation:

you devide and then you .

Answer:

4175.40384   Dutch guilders

Step-by-step explanation:

The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars

So ; if 1 swiss francs  =  1.0328 united states dollars  (as at Wednesday)

Then 2000 swiss francs  will be = 2000  ×  1.0328 united states dollars  = 2065.6 united states dollars

SO; if  1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)

Then 2065.6 united states dollars will be = 2065.6 × 2.0214

= 4175.40384   Dutch guilders

Answer:

closest would be 3,500

Step-by-step explanation:

Answer:

y-4 = 5(x+2)

y-4=5x+10

y=5x+14

Step-by-step explanation: