i need the missing term

Zhang's location, relative to the trail head, after 4 hours is approximately (10.392, 6) miles.

Trigonometry to find the horizontal and vertical components of Zhang's displacement vector after 4 hours, and then add these components to the coordinates of the trail head.

The horizontal component of Zhang's displacement is given by:

\(cos(30\℺) = \sqrt3/2\)

So, the horizontal distance traveled after 4 hours is:

\(distance = rate \times time = 3 mi/h \times 4 h = 12 mi\)

Therefore, the horizontal component of Zhang's displacement is:

\(\triangle x = 12 mi \times \sqrt3/2 = 6\sqrt3 mi\)

The vertical component of Zhang's displacement is given by:

\(sin (30\℺ ) = 1/2\)

So, the vertical distance traveled after 4 hours is:

\(distance = rate \times time = 3 mi/h \times 4 h = 12 mi\)

Therefore, the vertical component of Zhang's displacement is:

\(\triangle y = 12 mi \times 1/2 = 6 mi\)

Adding these components to the coordinates of the trail head, we get:

\(x = 0 + 6\sqrt 3 mi \approx 10.392 mi\)

\(y = 0 + 6 mi = 6 mi\)

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Answer:

4/5 probability

Step-by-step explanation:

There are 2 white out of 10, and 8 of the marbles are not white, so you divide the number of non-white marbles (the 'possibility') by the total number of marbles = 8/10. To reduce, divide by 2 and you'll get your answer.

Answer:

4/5

Step-by-step explanation:

A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow,  

P( not white) = number of marbles not white / total

                      = ( 4red+3blue+1yellow)/10

                      = 8/10

                   = 4/5

Reason:

Plug x = 0 into f(x)

f(x) = -3x-5

f(0) = -3*0-5

f(0) = 0-5

f(0) = -5

This then means,

g(x) = f(x)+9

g(0) = f(0)+9

g(0) = -5+9

g(0) = 4

The y intercept of g(x) is 4; meaning it is located at (0,4).

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

\( \frac{7.77}{42} \\ \frac{7.77}{42} \times 100\% \\ \frac{777}{42} \% \\ 18.5\%\)

The family tipped $7.77 and the tip was approximately 18.5% of the bill.

Given that a family has restaurant bill of $42.00, they give a tip so the total becomes $49.77.

We need to find the amount given as tip and calculate the tip as a percentage of the bill.

To find out how much money the family tipped, we need to subtract the total bill from the amount they spent.

Total amount spent = Bill + Tip

Tip = Total amount spent - Bill

In this case, the bill is $42.00 and the total amount spent is $49.77, so the tip can be calculated as:

Tip = $49.77 - $42.00

Tip = $7.77

Therefore, the family tipped $7.77.

To calculate the tip as a percentage of the bill, we can use the formula:

Tip percentage = (Tip amount / Bill amount) x 100

In this case, the tip amount is $7.77, and the bill amount is $42.00, so the tip percentage can be calculated as:

Tip percentage = ($7.77 / $42.00) x 100

Tip percentage ≈ 18.5%

Therefore, the tip is approximately 18.5% of the bill.

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Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The value of p in the arithmetic sequence is -1.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The common difference (d) is:

d = (p + 5) - (2p + 5) and d = (2p + 7) - (p + 5)

(p + 5) - (2p + 5) = (2p + 7) - (p + 5)

-p = p + 2

p = -1

The value of p in the arithmetic sequence is -1.

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The value of p in the sequence is 3

Arithmetic sequence is a type of sequence which have a common difference between each term in the sequence.

•First term (T₁) = 2p – 3

•2nd term (T₂) = p + 5

•3rd term (T₃) = 2p + 7

•Value of p =?

Common difference = T₂ – T₁ = T₃ – T₂

Using the above, the value of p can be obtained as follow:

T₂ – T₁ = T₃ – T₂

(p + 5) – (2p – 3) = (2p + 7) – (p + 5)

Clear brackets

p + 5 – 2p + 3 = 2p + 7 – p – 5

Collect like terms

p – 2p – 2p + p = 7 – 5 – 5 – 3

–2p = –6

Divide both side by –2

p = –6 / –2

p = 3

Therefore, the value of p is 3

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer:

Divide

Step-by-step explanation:

wait nvm i did it wrong

Answer:

21.17 to 2d.p.

Step-by-step explanation:

Using Pythagoras rearrage to find b c^2-a^2 = b^2

c= hypothenuse

32^2 = 1024 and 24^2 = 576

1024 -576 = 448

\(\sqrt{448}\) = 21.1660105

21.17 to 2d.p.

Answer:

x<=-7

Step-by-step explanation:

Answer:

x≥7

Step-by-step explanation:

Answer:

Q that is your answer

Step-by-step explanation:

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

Nothing left for burgers,

Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.

(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.

P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.

P(not 30 to 39) = 1 - P(30 to 39)

(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.

P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.

P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.

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Answer:

Option (C)

Step-by-step explanation:

Geometric sequence has been given as,

6, -24, 96. -384.......

First term of this sequence = 6

\(a_1=6\)

Recursive formula of geometric sequence is given by,

\(a_n=a_{n-1}(r)\)

Here r = common ratio of successive and previous term

From the given sequence,

r = \(\frac{a_2}{a_1}\)

 = \(\frac{-24}{6}\)

 = (-4)

Recursive formula of the given sequence will be,

\(a_n=a_{n-1}.(-4)\)

Therefore, Option (C) will be the correct option.

Answer:

B. Reflection over the x-axis

Answer:

Rotation over the x axis

Step-by-step explanation:

AP3x

Answer:

30

Step-by-step explanation:

There are 30 possible types of sandwiches .

5 meats x 3 different types of bread x 2 types of cheese=  30

Answer:

18

Step-by-step explanation:

Given:

\(\int\limits^3_5 {g(x)} \, dx =18\\\\\int\limits^3_{10} {g(x)} \, dx =36\)

We have:

\(\int\limits^3_{10} {g(x)} \, dx = \int\limits^3_{5} {g(x)} \, dx+\int\limits^5_{10} {g(x)} \, dx\)

⇒

\(\int\limits^5_{10} {g(x)} \, dx = \int\limits^3_{10} {g(x)} \, dx-\int\limits^3_{5} {g(x)} \, dx\)

⇒

\(\int\limits^5_{10} {g(x)} \, dx = 36-18\\\\=18\)

\( \huge \green{ \boxed{ANSWER}}\)

\(10 \: + \: 9 \: = {\boxed{19}}\)

USE CALCULATOR -_-

\( \mathfrak{JazmineChoi}\)

STAN TREASURE

Answer:

19

Step-by-step explanation: 10 +9 = 19

Let:

r be the number of roses

c be the cost of a flower arrangement

Let's consider that a flower arrangement has 1 vase and "r" roses.

Then, the cost of a flower arrangement is:

c = cost of vase + cost of roses

c = 10 + 5r

Which is the same as

c = 5r + 10

Answer:

c = 5r + 10

The partial sum of the given sequence, 1 + 10 + 19 + ... + 199, can be found by identifying the pattern and using the formula for the sum of an arithmetic series.  Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

To find the partial sum of the given sequence, we can observe the pattern in the terms. Each term is obtained by adding 9 to the previous term. This indicates that the common difference between consecutive terms is 9.

The formula for the sum of an arithmetic series is Sₙ = (n/2)(a + l), where Sₙ is the sum of the first n terms, a is the first term, and l is the last term.

In this case, the first term a is 1, and we need to find the value of l. Since each term is obtained by adding 9 to the previous term, we can determine l by solving the equation 1 + (n-1) * 9 = 199.

By solving this equation, we find that n = 23, and the last term l = 199.

Substituting the values into the formula for the partial sum, we have:

S₂₃ = (23/2)(1 + 199),

= 23 * 200,

= 4600.

However, this sum includes the terms beyond 199. Since we are interested in the partial sum up to 199, we need to subtract the excess terms.

The excess terms can be calculated by finding the sum of the terms beyond 199, which is (23/2)(9) = 103.5.

Therefore, the partial sum of the given sequence is 4600 - 103.5 = 4496.5, or approximately 4497 when rounded.

Hence, the partial sum of the sequence 1 + 10 + 19 + ... + 199 equals 4497.

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Answer: 12:4

Step-by-step explanation: so yeah

Approximately 35.71 lbm of the 28 wt% NaOH solution and 64.29 lbm of water are needed to produce 100 lbm per hour of the 10 wt% NaOH solution.

Let's denote the quantity of the 28 wt% NaOH solution as x lbm and the quantity of water as y lbm. We can set up a mass balance equation based on the NaOH content in the solutions.

The mass of NaOH in the 28 wt% solution is 0.28x lbm, and the mass of NaOH in the final 10 wt% solution is 0.10 ×100 lbm = 10 lbm.

Since NaOH is the only component contributing to the mass change, the mass balance equation becomes:

0.28x +( 0 ×y )= 10

Simplifying the equation, we get:

0.28x = 10

Solving for x, we find:

x = \(\frac{10}{0.28}\) ≈ 35.71 lbm

So, approximately 35.71 lbm of the 28 wt% NaOH solution is needed.

To determine the quantity of water, we subtract the mass of the 28 wt% NaOH solution from the total mass required:

y = 100 - 35.71 ≈ 64.29 lbm

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Answer: ok so uhmmmm whats you math class about and what its about just study on that topic and i hope you pass if you have any tests

Answer:

8 ft

Step-by-step explanation:

Area of a circle is given by πr² where r is the radius

Here we are given the area A and asked to find the radius

We have Area :
πr² = 64π

Dividing by π on both sides we get
r² = 64

r = ±√64

r = ±8

We can ignore negative values for radius and state that

r = 8 ft