118=6r+7(r+2) help me

Answer:

81.24%

Step-by-step explanation:

First we solve for the variance

Sample space of

3,5,12,3,2

n = 5

Variance = s²

= (3-5)²+(5-5)²+(12-5)²+(3-5)²+(2-5)²/5-1

= 4+0+49+4+9/4

S² = 66/4

= 16.5

Secondly we find the standard deviation

= √16.5

= 4.062

Coefficient of variation

Cv = sd/mean x 100

= 4.062/5 x 100

= 406.2/5

= 81.24%

Answer:

24.775 / 1 or 24775 / 1000

Step-by-step explanation:

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 24.775, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:  

24775/100

Answer:

75

Step-by-step explanation:

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The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

80

Step-by-step explanation:

Substitute a and b in your formula

20 * 4 * 2 / 4-2

\(\frac{160}{2}\)

Answer:

Volume = πr2h

= π×182×7

= 2268π

= 7125.1321383417 meters3

Answer:

P(2 and B) = \(\frac{1}{24} = 0.0417\)

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the events getting a 2 and the letter B are independents, so we find each separate probability and multiply them.

Probability of getting a 2:

8 possible values on the spinner, one of which is 2. So

\(P(A) = \frac{1}{8}\)

Probability of getting a B:

6 possible values, two of which are B. So

\(P(B) = \frac{2}{6} = \frac{1}{3}\)

P(2 and B)?

\(P(A \cap B) = P(A)*P(B) = \frac{1}{8}*\frac{1}{3} = \frac{1}{8*3} = \frac{1}{24} = 0.0417\)

P(2 and B) = \(\frac{1}{24} = 0.0417\)

Answer:

Just Between Friends

The percentage of consignors who receive a check for more than $370 is:

= 16%.

Step-by-step explanation:

Mean of consignor check, μ = $480

Standard deviation, σ = $110

Value of check received, x > $370

Solution: find the z-score to determine the percentage of consignors who receive a check for more than $370:

z = (x-μ)/σ

z= ($370 - $480)/$110

z = -$110/$110

z = -1.00

Percentage of consignors who receive a check for more than $370

= 0.15866

= 0.16

= 16%

The solution to the equation is x = 10 or x = -2.

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

\((x - 3)^2\) = 2x + 29

Expand the left side:

\(x^2\) - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

\(x^2\) - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

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Given: cost of CAYMAN sleep couch with VAT is R2 699

cost without VAT is R1 999

2.1  To calculate the original price of the couch excluding VAT, we can use the following formula:

Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT

In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:

R2,699 / 1 + (15 / 100) = R2,346.96

2.2  To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:

Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT

In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:

R1,999 * (1 + (15 / 100)) = R2,299

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Answer:

\( \boxed{ \bold{{ \boxed{ \sf8 {x}^{7} + 3 {x}^{6} + {x}^{5} + 5 {x}^{4} - 2 {x}^{3} }}}}\)

Step-by-step explanation:

Here, we have to arrange the polynomial from higher power to lower power.

So, Option C is the correct option

Hope I helped!

Best regards! :D

Answer:

8 in

Step-by-step explanation:

\(b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8\)

Answer:

a=13 - 4b/5

b=65/4-5a/4

Step-by-step explanation:

The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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Answer:

39

Step-by-step explanation:

plug in 5 to h(x)

h(5) = -5 - 3 = -8

plug that into f(x)

f(-8) = -5(-8) - 1 = 40 - 1 = 39

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

Between 2.5 and 3.5, you have 2.56, 3.2376, and 3.001

Step-by-step explanation:

THE PROCESS:

If you wish to find 3 decimals that are in between 2 other decimals, first select 2 decimals that have some distance between them (one being larger in value than the other).

The number of decimals found between them will depend on the magnitude of the difference between the initial 2 decimals.

You can then pick out 3 or more decimals between these 2 numbers.

THE EXAMPLE:

2.5 and 3.5

The difference between these two values is 1. Many decimals can be found within this single unit.

2.56 is a decimal, 3.2376 is another decimal, 3.001 is a decimal too.

All these decimals fall between 2.5 and 3.5 above.

You should find many more decimals just between these two numbers.

Once the value of the decimal is greater than 2.5 and less than 3.5, it falls within this range.

It could be a number in one decimal place, a number in two decimal places, a number in three decimal places, and so on.

The area of the circle is given by:

So, the area of a circle is basically:

It can be seen as the number of squares inside of the circle

Answer:

this is not possible mainly because the angels are wrong and hard to even get it right by algorithm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

\(\huge\boxed{\sf x = 3}\)

Step-by-step explanation:

f(x) = 3x - 5

Given that, f(x) = 4

Put it in the above equation.

4 = 3x - 5

Add 5 to both sides

4 + 5 = 3x

9 = 3x

Divide 3 to both sides

3 = x

x = 3

\(\rule[225]{225}{2}\)

Answer:

The value of x(perpendicular) is 17.80

Step-by-step explanation:

Given triangle is a right angled triangle as one of the angles is 90°

Also according to the reference angle 54°,

Hypotenuse = H = 22

Perpendicular = P = x

We can use the trigonometric ratio of sine as it involves both known value perpendicular and hypotenuse.

So,

\(sin\ 54 = \frac{P}{H}\\sin\ 54 = \frac{x}{22}\\0.8090 = \frac{x}{22}\\x = 0.8090*22\\x = 17.798\)

Rounding off to nearest hundredth

x = 17.80

Hence,

The value of x(perpendicular) is 17.80

Answer:

y = 2/3

Step-by-step explanation:

Assuming you are looking for "y":

15 * ( y - 4 ) - 2 * (y - 9 ) + 5 * (y + 6) = 0

15y - 60 - 2y + 18 + 5y + 30 = 0

15y - 2y + 5y -60 + 18 + 30 = 0

18y = 60 - 18 - 30

18y = 12

y = 12/18

y = 2/3

Answer:

(0,any number from 0 to ten)

Step-by-step explanation:

The required solution for the inequality a + 5 > -7 is (-12, ∞).

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

a + 5 > -7

To find the solution for the inequality,

Simplify the inequality,

a + 5 > - 7

a > - 7 - 5

a > -12

The value of a is greater than -12, implies that,

The solution for the value of the given inequality is (-12, ∞).

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Answer:

B

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

117°

Step-by-step explanation: We know that the angles of a triangle have to equal 180°. We already know one angle (75°) and we can find the others. Vertical angles are congruents so the angle opposite 42° is also 42° So add 42 and 75 and you get 117. Keep in mind that all the angles have to equal 180 so 180-117 will get you the last angle measure. 180-117= 63. BUT that's not the answer because that is not x and it asks for x. So we know that a straight line also equals 180 that angle that we found that was 63 plus x should get us 180. To find that we do 180-63 and find that x=117° Hope this made sense!