5:7:37, 8:4:20, 6:4:?, 6:10:34

Answer:

9 over 12 and 20 over 12.......

Answer:

-239

Step-by-step explanation:

-3(8) 2-6(8)+1

-192-48+1

-240+1

=-239

Answer:

-239

Step-by-step explanation:

Step-by-step explanation:

\(\huge{ \mathfrak{ \purple{Answer}}}\)

Equation is

x+ 45 = 90°

And,

x = 90 - 45 = 45°

\( \sf{\red{x = 45}}\)

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve left to right →:

Nothing else to say.

Answer:

-14 (I think - using bidmas)

Step-by-step explanation:

10-19+5

10-(19+5)

10-24

= -14

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

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Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

For this question, you can use the simultaneous equation to solve this problem.

Equation 1 reads: x + y = 34. (There are 34 notes in total.)

Equation 2: 5x + 10y = 235 (The notes are worth a total of $235.)

To find x in terms of y, we can apply equation 1:

x = 34 - y

When we use this expression to replace x in equation 2, we obtain:

5(34 - y) + 10y = 235

By condensing and figuring out y, we get at:

y = 15

There are 15 $10 bills in the wallet as a result.

Answer:

92

Step-by-step explanation:

2x49=98-6=92

Answer:

f(7) = 92

Step-by-step explanation:

To find f(7), substitute x = 7 into the given function.

\(\begin{aligned}f(7)&=2(7)^2-6\\&=2(49)-6\\&=98-6\\&=92\end{aligned}\)

Answer:

rawr

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

=9 + 5 x 10 + 1 + -15 x 2 = ( 5 x 10 ) + ( −15 x 2) + ( 9 +1  ) = 5 x 10 + −15 x 2 + 10

Answer:

30

Step-by-step explanation:

9+(5x10)+1-(15x2)

First, we must evaluate the numbers in the parentheses. (5x10) is 50, and (15x2) is 30. Since we have the answers to that, we can now put the expression as: 9 + (50) + 1 - (30).

9 + (50) = 59

59 + 1 = 60

60 - (30) = 30

Therefore, the answer is 30.

Hope this helped!

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.

It follows that the magnitude of a vector in terms of its components in the i and j direction is;

M = √(x² + y²).

On this note, since the i and j components are equal; x = y and hence, we have;

3 = √(x² + x²).

3² = 2x²

x² = 9/2

x = 3/√2

x = 3√2/2

On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.

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Answer:

ooo acellus its A

Step-by-step explanation:

The net present value is $305.73. The project should be accepted.

Using this formula

Net present value=Cashflow÷(1+Cost of capital)^ time

Let plug in the formula

Net present value=-$2,400+ ($630÷(1+.09)^1) + ($760÷(1+.09)^2) + ($800÷(1+.09)^3) + ($880 ÷(1+.09)^4) + ($380÷(1+.09)^5)

Net present value=-$2,400+ ( $630÷(1.09)^1) + ($760÷(1.09)^2) + ($800÷(1.09)^3) + ($880 ÷(1.09)^4) + ($380÷(1.09)^5)

Net present value=-$2,400+ ($630÷1.09) + ($760÷1.1881) + ($800÷1.295029) + ($880 ÷1.41158161) + ($380÷1.538639549)

Net present value=-$2,400+ $577.98+$639.68+$617.75+623.41+$246.91

Net present value=$305.73

Based on the above calculation the project should be accepted.

Therefore the NPV is $305.73.

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Answer: it is more probable that Peter will finish ahead of Francis and Christopher than that both Anthony and Peter will receive ribbons.

Share Prompt

Step-by-step explanation:

The three inequalities that define the region R are:

y ≤ -2x + 6

x ≤ (2/5)y

x ≥ (3/2)y - (2/3)

An inequality is a statement that two values or expressions are not equal. In other words, it is a statement that one value or expression is greater than or less than another. Inequalities are commonly used to describe relationships between numbers or variables.

To write down the three inequalities that define the region R, we need to identify the equations of the three boundary lines that enclose the shaded region.

From the equations given, we can rearrange them to get the equations of the three lines:

2x + y = 6 => y = -2x + 6

2y = 5x => y = (5/2)x

3y + 2x = 4 => y = (-2/3)x + (4/3)

To determine the inequalities that define R, we need to figure out which side of each boundary line is the shaded region.

The line y = -2x + 6 is the upper boundary of R. To be inside R, we need y to be less than or equal to -2x + 6, so the first inequality is:

y ≤ -2x + 6

The line y = (5/2)x is the right boundary of R. To be inside R, we need x to be less than or equal to 2/5y, so the second inequality is:

x ≤ (2/5)y

The line y = (-2/3)x + (4/3) is the left boundary of R. To be inside R, we need x to be greater than or equal to 3/2y - 2/3, so the third inequality is:

x ≥ (3/2)y - (2/3)

Therefore, the three inequalities that define the region R are:

y ≤ -2x + 6

x ≤ (2/5)y

x ≥ (3/2)y - (2/3)

Each of these inequalities individually describes a half-plane, and their intersection is the shaded region R in the diagram.

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Answer:

x^3 - 8

Step-by-step explanation:

The correct option regarding whether the relation is a function is:

B. The relation is a function. Each input value is paired with one output value.

A relation represent a function if each value of the input is paired with one value of the output.

In this problem, when the input - output mappings are given by:

{(–2, 3), (–1, 3), (0, 2), (1, 4), (5, 5)}.

Which means that yes, each input value is paired with one output value, hence the relation is a function and option B is correct.

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a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.

b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.

c) Brand B, is more consistently produces tablets as advertised.

We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :

Tablets contains the quantity of vitamin C = 500 mg

Sample mean = 250

Standard deviation = 7

For brand B :

Tablets contains the quantity of vitamin C = 250 mg

Sample mean = 500

Standard deviations = 10

Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)

= (Standard Deviation/Mean) × 100.

a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100

= 2.8%

b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100

= 2.0%

c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.

Hence, required brand is brand B.

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Complete question:

consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10

a) Calculate the coefficient of variation (CV) for Brand A (1point)

b) Calculate the coefficient of variation (CV) for Brand B (1 point)

c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)

Answer:

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Step-by-step explanation:

Test the claim that less than 50% of Internet users get their health questions answered online.

At the null hypothesis, we test that 50% of Internet users get their health questions answered online, that is:

\(H_0: p = 0.5\)

At the alternate hypothesis, we test that this proportion is less than 50%, that is:

\(H_a: p < 0.5\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \(\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5\)

A random sample of 1318 Internet users was asked where they will go for information the next time they need information about health or medicine; 606 said that they would use the Internet.

This means that \(n = 1318, X = \frac{606}{1318} = 0.4598\)

Test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{0.4598 - 0.5}{\frac{0.5}{\sqrt{1318}}}\)

\(z = -2.92\)

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.4598, which is the p-value of z = -2.92.

Looking at the z-table, z = -2.92 has a p-value of 0.0018.

The p-value of the test is 0.0018, which means that for a level of significance higher than this, there is sufficient evidence to claim that less than 50% of Internet users get their health questions answered online.

Answer:

1. y= 1/3x+2

2.y=-3/4x-5

Step-by-step explanation:

The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.

The answer to this problem: 2