f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?

Answer:

95/351

Step-by-step explanation:

the first thing you must do is to add 140 and 94 and 22 together

you get 256

then you subtract 351 with 256 and get 95

and then you do this

95/351

Here, we want to use the imaginary number to rewrite the given expression as a complex number

Mathematically, the complex number can be written as;

Thus, we have;

Answer:

4 weeks

Step-by-step explanation:

Wyatt's equation:

t=14w+40

Julian's equation:

t=19j+20

Since both equations equal the same thing, or t, we can equal them against each other as 1 equation

14t+40=19t+20

(subtract 20 from both sides)

14t+20=19t

(subtract 14t from both sides)

20=5t

(divide both sides by 5)

t=4 weeks

Answer:

A

Step-by-step explanation:

3x9 = 27

27+5 = 32

32/9 = 3.5 (w/dash above head)

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.

Here,

Given :

Standard deviation is 12.59, with a mean of 54.11

X=48

employing the z-formula

=> z = x -u / α

Values are replaced to produce

=> z = 48 -54.11/12.59

the z value is

z= - 0.4853

As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

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The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."

Answer:

The 1st one is y = 11.

The 2nd one is y = 5.

The 3rd one is v = -5.

The 4th one is y = 9.

Step-by-step explanation:

1) -38 = 7y + 17 - 12y

    -38 = -5y + 17

        -55 = -5y

          11 = y

2) 5y + 6 - 12y = -29

     -7y + 6 = -29

        -7y = -35

           y = 5

3) -12v - 9 + 7v = 26

       -5v - 9 = 26

          -5v = 35

              v = -5

4) -5y + 2(y + 2) = -5

     -5y + 4y + 4 = -5

        -y + 4 = -5

          -y = -9

            y = 9

Answer:

In the first equation, it's H20 but the second is B

2Mg + 2O2

here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.

1. 2KClO3 → 2KCl + ?

2Na + Cl2 → ?

A.) 2NaCl

2. MgO + ? → Mg(OH)2

2MgO → ?

B.) 2Mg + O2

Deena uses 9.2 pints of blue paint and white paint to paint her bedroom walls. Deena used 29/46 or approximately 0.63 pints of white paint.

Deena used a total of 9.2 pints of paint, and 34 of this amount is blue paint. Therefore, the amount of white paint she used is: 9.2 - 3.4 = 5.8 pints

Expressing this amount as a fraction and a decimal:

As a fraction: 5.8/9.2

To simplify this fraction, we can divide both the numerator and the denominator by 0.2:

5.8/9.2 = (5.8 ÷ 0.2) / (9.2 ÷ 0.2) = 29/46

So Deena used 29/46 or approximately 0.63 pints of white paint.

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The number of distinct sequences of four letters is 240

From the question, we have the following parameters that can be used in our computation:

Word = EQUALS

The above word has 6 letters

If it must begin with L and end with Q, then there are 4 letters remaining

These letters can be arrranged in the following number of ways

4! = 24

Next, we take L and Q as one

So, we have 5 letters i.e. EUAS(LQ)

These letters can be arranged in the following number of ways

5C2 = 5!/(3! * 2!) = 10

So, we have

Total = 24 * 10

Evaluate

Total = 240

Hence, the total number of distance sequences is 240

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Answer:

yes yu are tight yu rock

Tina can mulch the garden alone in 25 minutes.

Let's use the formula for the work rate to solve the problem. If William can mulch the garden alone in 20 minutes, his work rate is 1/20. Similarly, let's assume that Tina can mulch the garden alone in x minutes, so her work rate is 1/x.

When they work together, their work rates add up, so we have:

1/20 + 1/x = 1/11

Now we can solve for x:

1/x = 1/11 - 1/20

1/x = (20 - 11) / (11 x 20)

1/x = 9 / 220

x = 220 / 9

x ≈ 24.4

So it would take Tina 24.4 minutes to mulch the garden alone.

However, we need to round this up to the nearest minute because you can't have a fraction of a minute. Therefore, Tina can mulch the garden alone in 25 minutes.

Alternatively, we can use the inverse formula for the work rate to solve for Tina's time alone:

1/20 + 1/t = 1/11

1/t = 1/11 - 1/20

1/t = (20 - 11) / (11 x 20)

1/t = 9 / 220

t = 220 / 9

t ≈ 24.4

So Tina can mulch the garden alone in 24.4 minutes, which rounds up to 25 minutes.


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Answer:

\(112\)

The answer is 112

The fraction based on the percentage given is 83/100.

In conclusion, the answer is 83/100

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Answer:

D. Subtraction and division property

Step-by-step explanation:

The Subtraction Property of Equality states that if the same quantity is subtracted from both sides of an equation, the two sides remain equal.

Therefore, the first property of equality used is the subtraction property since the first step in the solution was to subtract 5 from both sides of the equation:

\(\boxed{6x+5-5=89-5}\)

The Division Property of Equality states that if both sides of an equation are divided by the same non-zero quantity, the two sides remain equal.

Therefore, the second property of equality used is the division property since the second step in the solution was to divide both sides of the equation by 6:

\(\boxed{\dfrac{6x}{6}=\dfrac{84}{6}}\)

The sample means are Mean(Y) = 61.4 and Mean(X) = 15, the sample variances are Variance(Y) ≈ 1124.89 and Variance(X) ≈ 2.67, the sample standard deviations are Standard deviation(Y) ≈ 33.56 and Standard deviation(X) ≈ 1.63, the sample covariance is Covariance(X, Y) ≈ -131.69, and the sample correlation is Correlation(X, Y) ≈ -0.77.

a. To find the sample means, variances, and standard deviation, we can use the following formulas:

Sample mean of income (Y):

Mean(Y) = (100 + 65 + 47 + 112 + 34 + 85 + 92 + 83 + 67 + 29) / 10 = 614 / 10 = 61.4

Sample mean of education (X):

Mean(X) = (18 + 14 + 14 + 16 + 12 + 16 + 18 + 14 + 16 + 12) / 10 = 150 / 10 = 15

Sample variance of income (Y):

Variance(Y) = [(100 - 61.4)^2 + (65 - 61.4)^2 + (47 - 61.4)^2 + (112 - 61.4)^2 + (34 - 61.4)^2 + (85 - 61.4)^2 + (92 - 61.4)^2 + (83 - 61.4)^2 + (67 - 61.4)^2 + (29 - 61.4)^2] / 9 ≈ 1124.89

Sample variance of education (X):

Variance(X) = [(18 - 15)^2 + (14 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2 + (16 - 15)^2 + (18 - 15)^2 + (14 - 15)^2 + (16 - 15)^2 + (12 - 15)^2] / 9 ≈ 2.67

Sample standard deviation of income (Y):

Standard deviation(Y) = √Variance(Y) ≈ √1124.89 ≈ 33.56

Sample standard deviation of education (X):

Standard deviation(X) = √Variance(X) ≈ √2.67 ≈ 1.63

b. To find the sample covariance and correlation, we can use the following formulas:

Sample covariance:

Covariance(X, Y) = [(18 - 15)(100 - 61.4) + (14 - 15)(65 - 61.4) + (14 - 15)(47 - 61.4) + (16 - 15)(112 - 61.4) + (12 - 15)(34 - 61.4) + (16 - 15)(85 - 61.4) + (18 - 15)(92 - 61.4) + (14 - 15)(83 - 61.4) + (16 - 15)(67 - 61.4) + (12 - 15)(29 - 61.4)] / 9 ≈ -131.69

Sample correlation:

Correlation(X, Y) = Covariance(X, Y) / (Standard deviation(X) * Standard deviation(Y)) ≈ -131.69 / (1.63 * 33.56) ≈ -0.77

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Correct question-

Consider the following random sample of income and education: Income(Y) Education(X) 100 18 65 14 47 14 112 16 34 12 85 16 92 18 83 14 67 16 29 12 a. Find sample means, variances and standard deviation. b. Find sample covariance and correlation.

Angle B is congruent to angle D is the statement which is most useful to prove the two triangles are congruent using the ASA postulate

The ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

The Angle B is congruent to Angle D allows us to establish one pair of congruent angles.

Additionally, we would need to know the congruence of another pair of angles and the congruence of the included side to fully apply the ASA postulate and prove the congruence of the two triangles.

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The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L

The given expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))] represents a division calculation. To evaluate the expression, we substitute the given values into the equation and perform the necessary calculations. The final answer is expressed in scientific notation, rounded to the appropriate number of significant figures, and includes the correct unit.To evaluate the expression [(0.00034 kg)/((0.0000598 L+2.54×10^(-6) L))], we substitute the given values and perform the division:
Numerator: 0.00034 kg
Denominator: (0.0000598 L + 2.54×10^(-6) L)
Adding the terms in the denominator, we get:
0.0000598 L + 2.54×10^(-6) L = 0.00006234 L
Now we can rewrite the expression as:
(0.00034 kg) / (0.00006234 L)
Performing the division:
(0.00034 kg) / (0.00006234 L) ≈ 5.453 kg/L

The answer, rounded to the appropriate number of significant figures, is 5.45 kg/L. To express it in scientific notation, we can write it as:
5.45 × 10^(0) kg/L.Since 10^0 equals 1, the final answer in scientific notation is:5.45 × 1 kg/L
Therefore, the evaluated expression is 5.45 kg/L.

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Answer:  4 2/3

Step-by-step explanation:

14/3 is an improper fraction. Let's take the numerator and divide it by the denominator.

Divide 14 by 3. The quotient digit is 4.

Multiply the quotient digit 4 by the divisor 3.

Subtract 12 from 14.

The result of 14 divided by 3 is 4 with a remainder of 2.

Thus, 14/3 as a mixed number can be written as 4 2/3.

14/3 as it can't further cut out.

Because in a mixed number it is 4 2/3. This can be expressed as a fraction by multiplying the whole number (4) by the denominator (3) and adding it to the numerator (2), giving a fraction of 14/3.

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Answer:

$37.76

Step-by-step explanation:

32*1.18=37.76.

Hope this helps!

Answer:

y =0.583

Step-by-step explanation:

sin y=7/12

12*sin y=7

7/12=0.583.=sin 59

Car B will catch up with Car A at 4:45pm, after travelling for 2 5/8 hours (3 hours minus 1 hour minus 3/8 of an hour).

Car A leaves the Grand Canyon at noon and travels at 80 mph. At 3 pm, it stops for an hour. Car B leaves the Grand Canyon at 2 pm and travels at 90 mph without stopping.To calculate when Car B will catch up with Car A, we need to find the time difference between their departure times and the difference in their speeds.Car A leaves one hour before Car B, so we can subtract 1 hour from the total travel time. The difference in their speeds is 10 mph, which is equivalent to 1/8 of an hour for every hour of travel. Therefore, we can subtract 1/8 of an hour from the total travel time for every hour of travel.We can use these two deductions to calculate the total travel time: 3 hours - 1 hour - 3/8 of an hour = 2 5/8 hours. Therefore, Car B will catch up with Car A at 4:45pm.

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Answer: (b) The median and the mode are the same.

Answer:

total area = 39.6 square units

Step-by-step explanation:

determine the inside angle

360 / 5 = 72°

half of the triangle = 36°

given:

adj = 3.3

Ф = 36°

length of the opp of a small triangle is = adj. tan Ф

opp = 3.3 * tan 36 = 2.4

area of a triangle = 1/2 b * h   x  2 tringles

area =( 1/2 * 2.4 * 3.3  ) * 2

area = 7.92  multiplied by 5 equal shapes

total area = 7.92 * 5

total area = 39.6 square units

hope this helps

mark me as a brill please

good luck

The total area of the regular polygon should be considered as the 39.6 square units.

But before that following things should be calculated

first determine the inside angle i.e.

\(= 360 / 5\)

= 72°

Now

half of the triangle = 36°

Since

adj = 3.3

Ф = 36°

So,

opp =\(3.3 * tan 36\) = 2.4

Now

area of a triangle =\(1/2 b * h * 2\)

\(=( 1/2 * 2.4 * 3.3 ) * 2\\\\= 7.92 * 5\)

= 39.6 square units

hence, The total area of the regular polygon should be considered as the 39.6 square units.

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Answer:

-160

Step-by-step explanation:

All you have to do is substitute -2 for all values of x!

Is that last x raised to the power of 4 (looks like \(x^4\))?

If so, the equation is:

\(f(-2)=2(-2-3)(-2)^4\)

2(-5)(16)

-10(16)

-160

The given data can be used to test the hypothesis that the proportion of preterm births among twins has increased from 1990 to 2000 and the conclusion is that the proportion of preterm births among twins has increased from 1990 to 2000.

Using a two-proportion z-test, with the null hypothesis that the proportions are equal, we find that the test statistic is approximately 1.89, with a p-value of 0.029. This suggests that there is evidence to reject the null hypothesis at the 5% significance level, and conclude that the proportion of preterm births among twins has increased from 1990 to 2000.

However, it's important to note that this conclusion is based on the assumption that the two samples are independent and representative of the population of interest. Other factors, such as changes in the population or hospital policies, may have also contributed to the observed increase in preterm births among twins.

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The required equation for line M will be 4x+72=y as in the form of y=ax+b because line L is perpendicular to line M.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here,

If x-intercept=B and y-intercept=E

Point B=(16,0)

Point E=(0,4)

point A=(-16,4+4)

=(-16,8)

line M is perpendicular to line L,

slope of L=-4/16

=-1/4

slope of M=-1/-1/4=4

The equation of line M will be,

point=(-16,8)

slope=4

y-8=4(x+16)

y-8=4x+64

4x-y+72=0

Line L is perpendicular to line M, so the required equation for line M will be 4x+72=y in the form of y=ax+b.

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Answer: 2 units

Step-by-step explanation:

Given that :

Length of of line segment (AB) = 18 Units

d = distance between point A and successive notch

Number of notches between point A and B = 9

If the length of line AB = 18 units and the number of notches between point A and B = 9

Then distance d, between successive tick marks :

Length of Line segment / number of notches or tick marks between A and B

= 18 units / 9

= 2 units.

Hence distance between tick marks on the number line is 2 units.

Answer:

its b

Step-by-step explanation:

b on edu 2020

Answer:

x= 25

y=40

Step-by-step explanation:

the steps are in the photo