I dont know which one?? please help...​

Answer:

Step-by-step explanation:

Angle formed by two tangents is equal to half of the difference of intercepted arcs:

The sum of the same two arcs is a full circle:

Add the two equations together:

Correct choice is C

The 8th term in the geometric sequence, where the first term is 4 and the common ratio is 2, is equal to 512.

In a geometric sequence, each term after the first is obtained by multiplying the preceding term by a constant called the common ratio. The formula for the nth term in a geometric sequence is given by:

a_n = a_1 * r^(n-1)

In this case, we are given that the first term (a_1) is equal to 4 and the common ratio (r) is 2. To find the 8th term (a_8) of the sequence, we can substitute these values into the formula:

a_8 = 4 * 2^(8-1)

Simplifying:

a_8 = 4 * 2^7

   = 4 * 128

   = 512

Therefore, the 8th term in the geometric sequence, where the first term is 4 and the common ratio is 2, is equal to 512.

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Answer:

1

Step-by-step explanation:

Numbers to the "right of 0" implies the positive numbers.  And an integer has no fractional component.  Thus, the first integer to the right of 0 would be 1.

Cheers.

Answer:

E'(0,-2),F'(-3,-1),G'(-4,-3)

H'(3,-2),I'(1,-5),J'(-2,-1)

Step-by-step explanation:

You have to reflect the given coordinates.

For example:

W(-3,5)

The reflection of the coordinate would be W'(3,-5)

Answer:

6 feet

Step-by-step explanation:

8×8+x×x=10×10

x×x=100-64

x=6

Answer:

-8, -6, -4, -2

Step-by-step explanation:

This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.

The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.

The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.

Answer:-8,-6,-4,-2

Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on

Answer:

150

Step-by-step explanation:

The question is unclear. Do they want an angle that is under 180 (to your left) or over 180 (to your right)? I'm guessing that it is just under 180.

Each hour on a clock takes up 30 degrees. Each 5 minutes hand sweep out out 5/60 * 360 = 30 degrees as well. This angle looks like it is 5 minutes to seven if it was on a clock.

So the large angle from 12 oclock would sweep out 210 degrees and that would mean that the left angle would be 150. But the time is not quite 7 o,clock.

My guess would be 150. Remember, this is an estimate. You can't use a protractor on the question.

The coordinates of the centre of mass are:

\(x = \frac{M_x}{M} = \frac{r}{2}\\y = \frac{M_y}{M} = \frac{r}{2}\\z = \frac{M_z}{M} = \frac{r}{2}\)

To find the centre of mass of a solid of uniform density, we need to calculate the triple integral of the position vector (x, y, z) over the volume of the solid, and divide by the total mass of the solid.

In this case, the solid is a hemispherical shell of radius r and uniform density, so we can use spherical coordinates to simplify the calculations.

0 ≤ θ ≤ π/2

0 ≤ φ ≤ 2π

The mass of the solid is proportional to its volume, so we can assume that the total mass is \(M = \frac{2\pi r^3}{3}\) (the mass of a full sphere of radius r, divided by 2).

To calculate the triple integral for the centre of mass, we need to compute the following integrals:

\(M_x = \iiint x \rho \, dV\\M_y = \iiint y \rho \, dV\\M_z = \iiint z \rho \, dV\)

We can simplify the integrals using spherical coordinates:

\(\int_0^R \int_0^{\frac{\pi}{2}} \int_0^{2\pi} (r \sin\theta \cos\phi) \rho r^2 \sin\theta \, d\phi \, d\theta \, dr\)

\(\int_0^R \int_0^{\frac{\pi}{2}} \int_0^{2\pi} (r \sin{\theta} \sin{\phi}) \rho r^2 \sin{\theta} \, \mathrm{d}\phi \, \mathrm{d}\theta \, \mathrm{d}r\)

\(\int_0^R \int_0^{\frac{\pi}{2}} \int_0^{2\pi} (r \cos \theta) \rho r^2 \sin \theta \,d\phi \,d\theta \,dr\)

Since the density is uniform, we can factor it out of the integrals:

\(M_x = \rho \int_0^R \int_0^{\frac{\pi}{2}} \int_0^{2\pi} (r^3 \sin^2 \theta \cos \phi) \, d\phi \,d\theta \,dr M_y = \rho \int_0^R \int_0^{\frac{\pi}{2}} \int_0^{2\pi} (r^3 \sin^2 \theta \sin \phi) \,d\phi \,d\theta \,dr M_z = \rho \int_0^R \int_0^{\frac{\pi}{2}} \int_0^{2\pi} (r^3 \cos \theta \sin \theta) \,d\phi \,d\theta \,dr\)

The integrals over φ and θ can be evaluated using the standard formulas for integrating trigonometric functions over a range of angles:

\(\int_0^{2\pi}\cos\phi\, d\phi = \int_0^{2\pi}\sin\phi\, d\phi = 0\\\int_0^{\frac{\pi}{2}}\cos\theta \sin\theta\,d\theta = \frac{1}{2}\\x = \frac{M_x}{M} = \frac{r}{2}\\y = \frac{M_y}{M} = \frac{r}{2}\\z = \frac{M_z}{M} = \frac{r}{2}\)

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Answer:12

Step-by-step explanation:6+(5+1)

5+1=6

6+(6)=12

Given the expression :

To find the value of the given expression, multiply 44 x 55 then add the result to 647

so, the answer will be as following:

So, the answer is : 3067

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:

y = 5/4x -7

Step-by-step explanation:

5x - 4y = 28

Move 5x to the other side of the equation.
- 4y = - 5x + 28
Divide both sides by - 4.

y = 5/4x -7

Answer:

Graph A

Step-by-step explanation:

when shading, y is less than the line so you shade below. also y is not equal to any points on the line so you make a dotted line

(a) The simplest interest is $12.

(b) The simplest interest is 5 cents.

(c) The simplest interest is $360.

(d) The simplest interest is $15.

What is the interest rate?

In relation to the amount lent, deposited, or borrowed, the amount of interest due each period is expressed as an interest rate. The total interest on a sum lent or borrowed is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time over which it is lent deposited, or borrowed.

The formula of simple interest is I = P × R × T

(a) Given that P = $500, R = 8% = 0.08, T = 3 months = (3/12) years = 1/4 years

The simple interest is

500 × 0.08 × (1/4)

= $12

(b) Given that P = $50, R = 12% = 0.12, T = 1 months = (1/12) years

The simple interest is

50 × 0.12 × (1/12)

=$0.5

= 5 cents

(c) Given that P = $1,000, R = 18% = 0.18, T = 24 months = (24/12) years = 2 years

The simple interest is

1000 × 0.18 × 2

=$360

(d) Given that P = $600, R = 15% = 0.15, T = 60 days = (60/360) years

The simple interest is

600 × 0.15 × (60/360)

=$15

P is principal, R is known as rate of interest.

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Answer:

165 km

Step-by-step explanation:

We know the ratio of map distance to actual distance is 1 cm : 15 km

Multiplying both sides by 11, we have 11 cm : 165 km

Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

1)

9x + 8 = 107 (alternating angles are equal)

9x + 8 = 107

9x = 107 - 8

9x = 99

x = 11

2)

20x = 80 (alternating angles are equal)

20x = 80

x = 4

3)

x + 84 = 80 (corresponding angles are equal)

x = 80 - 84

x = -4

4) 120 + 6x = 180

This is gotten from applying alternating angle theorem and angle on a straight line theorem

120 + 6x = 180

6x = 180 - 120

6x = 60

x = 10

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Answer:

Step-by-step explanat:

8*100 =800

4*100=400

7*1/10=0.7

3*1/100=0.03

800+400+0.7+0.03= 1200.73

Jill needs to invest approximately $40,816.33 at a 7% annual interest rate compounded yearly to achieve her goal of $50,000 for a round-the-world holiday in 3 years.

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where

We can rearrange the formula to solve for P:

P = A / (1 + r/n)^(nt)

Now we can substitute the given values into the formula and calculate:

P = 50000 / (1 + 0.07/1)^(1*3)

P = 50000 / (1 + 0.07)^3

P = 50000 / (1.07)^3

P = 50000 / 1.2250431

P ≈ $40,816.33

Therefore, Jill needs to invest approximately $40,816.33 at a 7% annual interest rate compounded yearly to achieve her goal of $50,000 for a round-the-world holiday in 3 years.

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Answer:

ong

Step-by-step explanation:

dude can you not spam???

Answer:48

Step-by-step explanation:

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

2,083.3

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Follow . PEMDAS

plug the numbers in

4*2 =8 and -4*6=24

add both...

-16.

Step-by-step explanation:

4(2)+(-4)(6)

8-24

-16

hope it helps..

Answer:

100a + 400 ≤ 6500

Step-by-step explanation:

The office building contains 6500 ft² of space. Each employee has a cubicle that  takes up to 100 ft². The entryway also takes up to 400 ft². The inequality that can be use to find the possible number of cubicles is expressed below.

Let

number of employee/cubicle = a

Total space of the office building =  6500 ft²

The entryway has already occupied 400 ft² of the office building space. Each employee has one cubicle which takes up to 100 ft² of the office building space. The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle) This will be 100 × a = 100a. The total number of space occupied by the cubicles plus the already space taken by the entryway will be less than or equal to the total space of the office building. Therefore,

100a + 400 ≤ 6500

Answer:

100a + 400 ≤ 6500

Step-by-step explanation:

The space occupied by the cubicle in the office building can be calculated when you multiply the number of cubicle/employee by 100(size of each cubicle)

Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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The curve y = f(x) that passes through the point (9, 8) and has a slope of 3√(x) at each point is given by:

y = 2x × (3/2) + (2 × 27 × √(27) - 8) - C1

To find the curve y = f(x) that passes through the point (9, 8) and has a slope of 3√(x) at each point, we can integrate the slope function to obtain the equation for f(x).

The given slope function is: dy/dx = 3√(x)

Integrating both sides with respect to x:

∫dy = ∫3√(x) dx

Integrating the left side gives us y + C1, where C1 is the constant of integration.

For the right side, we can use the power rule for integration:

∫3√(x) dx = ∫3x × (1/2) dx = 3 × (2/3)x (3/2) = 2x (3/2) + C2, where C2 is another constant of integration.

Combining the results, we have:

y + C1 = 2x × (3/2) + C2

To find the specific equation for f(x), we can use the given point (9, 8) to solve for the constants C1 and C2.

Plugging in x = 9 and y = 8 into the equation, we get:

8 + C1 = 2(9) × (3/2) + C2

Simplifying further:

8 + C1 = 2 × 27× (3/2) + C2

8 + C1 = 2 × 27 × √(27) + C2

Now, we can write the equation for f(x):

y = 2x × (3/2) + C2 - C1

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The probability of getting exactly 10 successes in 12 independent trials, given the probability of success in each trial is 0.7, is 0.0159 or approximately 1.59%.

Now, let's consider a binomial probability experiment with the given parameters: n= 12​, p= 0.7​, x= 10. Here, n represents the total number of independent trials, p represents the probability of success in each trial, and x represents the number of successful trials that we are interested in calculating the probability for.

Using the given values, we can substitute them into the formula to find the probability of 10 successes in 12 independent trials:

P(10) = \((^{12}C_{10}) \times 0.7^{10} \times (1-0.7)^{12-10}\)

P(10) = (66) x 0.02824 x 0.0081

P(10) = 0.0159 or approximately 1.59%

This means that if we were to repeat this experiment many times, we would expect to get exactly 10 successes in about 1.59% of the trials.

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Answer: 489

Step-by-step explanation:

420+69=489

Answer: To find the ordered pair that is a solution of the equation y = 4x - 7, we need to substitute the values of x and y into the equation and see if it is true.

If (x, y) is a solution, then y = 4x - 7 must be true for that particular x and y.

Option A: (2, 1)

Substituting x = 2 and y = 1 into the equation, we get:

1 = 4 * 2 - 7

1 = 8 - 7

1 = 1

Since the equation is true for x = 2 and y = 1, (2, 1) is not a solution of the equation.

Option B: (4, 9)

Substituting x = 4 and y = 9 into the equation, we get:

9 = 4 * 4 - 7

9 = 16 - 7

9 = 9

Since the equation is true for x = 4 and y = 9, (4, 9) is a solution of the equation.

Option C: Both (2, 10) and (4, 9)

Substituting x = 2 and y = 10 into the equation, we get:

10 = 4 * 2 - 7

10 = 8 - 7

10 = 3

Since the equation is not true for x = 2 and y = 10, (2, 10) is not a solution of the equation.

So, the only ordered pair that is a solution of the equation y = 4x - 7 is (4, 9). The answer is B) only (4, 9).

Step-by-step explanation:

Answer:

255

Step-by-step explanation:

For the ratios to suggest a proportional relationship, they must be equal.

\(\frac{17}{8}=\frac{x}{120} \implies x=255\)