1/(cot^2 (x)) - 1/(cos^2 (x))

Answer:

Step-by-step explanation:

c

Answer:\quad 27a^{12}b^9

Step-by-step explanation:

\left(3a^4b^3\right)^3=3^3\left(a^4\right)^3\left(b^3\right)^3 =3^3\left(a^4\right)^3\left(b^3\right)^3 3^3=27 =27\left(a^4\right)^3\left(b^3\right)^3

Answer: the answer is D

Step-by-step explanation:

Answer:

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

Answer:

They are the same when they both buy 4.5 toppings.

Step-by-step explanation:

y = 0.75x + 3

y = 0.25x + 5.25

y = 0.75(4.5) + 3

y = 3.375 + 3

y = 6.375

y = 0.25(4.5) + 5.25

y = 1.125 + 5.25

y = 6.375

Graph below ----

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                         V

Answer:

1030pm to 750 am

that is 9 hours and 20 minutes

Hope I get brainliest (:

The addition is one of the four fundamental mathematical operations. The total time that is taken by the train to reach Chittagong from Dhaka is 9 hours and 20 minutes.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that train left Dhaka train station at 10:30 pm. Therefore, the time from 10:30 pm to 12 a.m is 1 hour 30 minutes.

Further, the train arrived at Chittagong train station at 7:50 am the next day. Therefore, the time from 12 a.m to 7:50 am is 7 hours and 50 minutes.

Further, the total time that is taken by the train to reach Chittagong from Dhaka is,

Time = 1 hour 30 minutes + 7 hour 50 minutes

        = 9 hours and 20 minutes

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To find the estimated margin of error, you need to calculate the difference between the upper and lower bounds of the confidence interval, then divide by 2. In this case, the confidence interval is (3.9, 4.3).
Estimated margin of error = (4.3 - 3.9) / 2 = 0.4 / 2 = 0.2 cm.
To find the sample mean, you need to take the average of the upper and lower bounds of the confidence interval.
Sample mean = (3.9 + 4.3) / 2 = 8.2 / 2 = 4.1 cm.
So, the estimated margin of error is 0.2 cm and the sample mean is 4.1 cm.

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If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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The measure of the angle BAC is 55 degrees

An angle is the point where two lines meet. From the given diagram, the sum of the angle in the triangle BAC is 180 degrees

Determine the measure of <BCA

<BCA = (40+55)

<BCA = 95 degrees

Determine the measure of <BAC

<BAC = 180 - (95+30)

<BAC = 180 - 125

<BAC = 55 degrees

Hence the measure of the angle BAC is 55 degrees

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thanks, this is a answer (:

Answer:

60

Step-by-step explanation:

Basically you 24 is 4x more than 15 so 15 x 4 = 60

Answer:

its a 60

Step-by-step explanation:

so 6+6 is 12 and then add 15+15=30 and then you add 12+6 to get 45 dollars then 18+6 is 24 so then add 15 to 45 and it equals 60

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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a) The expected average body temperature of the sample of 64 people is 98.24 degrees Fahrenheit.

b) Expected mean of that sample of 64 people to vary from the mean of the population by an average of 0.09 degrees Fahrenheit.

a) The expected average body temperature of the sample of 64 people can be calculated as the same as the population mean, which is 98.24.

b) The standard error of the mean (SE) is given by the population standard deviation divided by the square root of the sample size, which is

SE = 0.72 / sqrt(64) = 0.09

The standard error of the mean represents the variability of sample means around the population mean. The standard deviation of the sample means is approximately equal to the standard error of the mean.

Therefore, we can expect the mean of that sample of 64 people to vary from the mean of the population by an average of 0.09 degrees Fahrenheit.

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The surface area of a cylinder is found using the following formula:

Replace for the given values of radius and height:

It means that the surface area of the cylinder is 622.

The correct answer is D. 622 sq units.

Answer:

3c

Step-by-step explanation:

\(average = \frac{a + b + c}{3} \)

Substitute a= b +2c:

\( \frac{a + b + c}{3} = \frac{b + 2c + b + c}{3} \\ \frac{a + b + c}{3} = \frac{2b + 3c}{3} \)

Substitute b= 3c:

\( \frac{a + b + c}{3} = \frac{2(3c) + 3c}{3} \\ \frac{a + b + c}{3} = \frac{6c + 3c}{3} \\ \frac{a + b + c}{3} = \frac{9c}{3} \\ \frac{a + b + c}{ 3} = 3c\)

Thus, the average of the 3 numbers is 3c.

The point is [-13,-7] when the actual numbers are all at least two units away from 4.

Given that,

To specify the interval (or pair of intervals) on the real number line, use absolute value notation. (Utilize the x variable.) actual numbers are all at least two units away from 4.

We know that,

We get,

|-4-x| = 3

-3 = -4-x = 3

7 = -x = 13

-13 = x = -7

Therefore, The point is [-13,-7] when the actual numbers are all at least two units away from 4.

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Answer:

Answer:

Step-by-step explanation:43.97

Answer: The formula is

A=p (1+rt)

A account balance?

P initial investment 3425

R interest rate 0.03

T time 15 years

A=3,425×(1+0.03×15)

A=4,966.25

Hope it helps!

Step-by-step explanation:

Answer:

65,200

Step-by-step explanation:

Rounding to hundred means you look on the right, the number 4. 4 is less than 5 so it goes down to 65,200.

Answer:

I can't read that..........

The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

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The measurement of the angle F in the given circle is 41°

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is a circle, with secants FX and FB, we need to find the measurement of the angle F in the given circle

Using the property of circle,

∠ F = 1/2(arc XB - arc VW)

∠ F = 1/2(126°-44°)

∠ F = 1/2 x 82

∠ F = 41°

Hence, the measurement of the angle F in the given circle is 41°

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Answer:

464m^2

Step-by-step explanation:

Given data

Dimension of the regular playground

Length= 28m

Width= 15 m

We want to extend both sides by 1 m

Length= 28+1= 29m

Width= 15+1= 16m

Hence the area

Area=Length*Width

Area= 29*16

Area= 464m^2

The Area is 464m^2

Monica falls into the 10% bracket.

The tax refers to the money that a person is expected to pay to the government as part of your responsibilities as citizen of the country. The tax that is paid by the citizens is used in the provision of basic amenities for the people of a community.

Now, there are certain legal exemptions that apply to different people in different tax brackets. In this case, Monica has an income of $14000 with a deduction of $5700. This leaves her taxable income at $8300.

From the computation above, it then follows that Monica falls into the 10% bracket.

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Answer:

$465

Step-by-step explanation:

just multiply 4650 (the taxable income) and .10 (the tax bracket she falls into) which equals 465! i hope it helped ^_^

The distance between the two towns is 165 kilometers

The initial speed = 100 kilometer per hour

Time taken = t hours

We know,

Speed = Distance / Time

Distance = Speed × t

Distance = 100 × t

New speed = 110 kilometer per hours

He saves 9 minutes

9 minutes = 9/60 hours

The time taken = t - 9/60

The distance = 110 × (t - 9/60)

= 110t - 33/2

Then the equation will be

100t = 110t - 33/2

110t - 100t = 33/2

10t = 33/2

t = 33/2 ÷ 10

t = 33/2 × 1/10

t = 1.65 hours

Then the distance = 100 × t

= 100 × 1.65

= 165 kilometers

Hence, the distance between the two towns is 165 kilometers

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Step-by-step explanation:

101° = (6x + 5)° (by F angles)

Therefore 6x = 96 and x = 16.

Answer:

X=16

Step by Step explanation:

We want to know what x is

We would have to make an equation

REMEMBER: *Any 4 angles has to equal to 360 degrees*

Its pretty easy to remember

Triangles: All interior angles must add up to 180

4 angles shapes: All interior angles must add up to 360

If any shape has more than 4 angles, calculate how many angles there are and multiply them by 90

Okay so this “shape” has only 1 angle given And that would be 101

So we know right away that the angle vertical to it (angle 8) is also 101

Now we know two sides and since the other two unknown sides are vertical so they have to be equal, we really only have to focus on the 101 angle.

So we know that 2 ngles are 101

Thats all we need to know

make them equal

6x+5=101

Now sole and you would get 16

Calculating the factorials, we find that the person can make 2,380 different selections of 4 bags of chips out of the 17 varieties.

To find out how many different selections of chips the person can make, we need to use the combination formula. The formula for combinations is:

nCr = n! / r!(n-r)!

Where n is the total number of options (in this case, 17 varieties of chips) and r is the number of choices we want to make (in this case, 4 bags of chips).

So, plugging in the values we have:

17C4 = 17! / 4!(17-4)!
17C4 = 17! / 4!13!
17C4 = (17x16x15x14)/(4x3x2x1)
17C4 = 2380

Therefore, the person can make 2,380 different selections of chips.

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