Please help it’s urgent this assignment is almost due!!!?

Answer:

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

f(-3) = 54 - 3

f(-3) = 51

g(3) = -5(3) + 4

g(3) = -15+4

g(3) = -11

Hope this helps!

Step-by-step explanation:

Notice that:

1st column = (5 - 1)² = 16

2nd column = (11 - 4)² = 49

Therefore 3rd column = (18 - *)² = 121, * = 7.

Answer:

7 is the missing number

Step-by-step explanation:

Let the missing number be x.

Lets study the pattern of the numbers. In each column , we find that the bottom number is the square of the difference of first 2 numbers.

In 1st column ,

Difference of first 2 numbers = 5 - 1 = 4

The bottom number = 16 = 4²

In 2nd column ,

Difference of first 2 numbers = 11 - 4 = 7

The bottom number = 49 = 7²

Similarly ,

Difference of first 2 numbers = 18 - x

The bottom number = 121

\( = > {(18 - x)}^{2} = 121\)

\( = > {(18 - x)}^{2} = {11}^{2} \)

\( = > 18 - x = 11\)

\( = > x = 18 - 11 = 7\)

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:

1. Negative slope

2. Positive slope

3. No slope

4- Zero

Step-by-step explanation:

\(\sf \boxed{\bf slope = \dfrac{y_2-y_1}{x_2-x_1}}\)

\(\sf 1) \dfrac{7 - 9 }{4-2}=\dfrac{-2}{2}\\\)

             = -1

\(\sf 2) \dfrac{4-2}{4-1}=\dfrac{2}{3}\)

3) (1,1) and (1 , 4)

Here x coordinates of the two points are same. So, the line is parallel to y-axis.

Slope of the line parallel to y-axis is undefined. So, no slope.

4) (9,7) &(6 ,7)

Here y coordinates of the two points are same. So, the line is parallel to x-axis.

Slope of the line parallel to x-axis is zero.

Given electric bills of family A and family C.

To find mean absolute deviation of family A,

A).

First find mean of family A,

Mean

Now, mean absolute deviation

12.038 is the mean absolute deviation for family A.

Now. mean absolute deviation for family C,

Mean

Now, Mean absolute deviation

Hence. 13.04 is the required mean absolute deviation for family B.

Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

Step-by-step explanation:

a)

\(2(x + 3) = x - 4 \\\\ 2x + 6 = x - 4 \\\\ 2x - x = - 4 - 6 \\\\ x = - 10\)

b)

\(4(5x - 2) = 2(9x + 3) \\\\ 20x - 8 = 18x + 6 \\\\ 20x - 18x = 6 + 8 \\\\ 2x = 14 \\\\ x = \frac{14}{2} \\\\\\ x = 7\)

I hope I've helped you.

Answer:

Probability of not raining in next two weeks is 0.696

Step-by-step explanation:

Let us calculate -

Probability diagram is attached below .

Probability of not raining in next week is 0.8

Probability of not raining in second week is 0.87

Therefore, Probability of not raining in next two weeks = \(0.8\times 0.87\)

                                                                                         = 0.696

Thus , the probability is 0.696

Answer:

3. -21 4. 16

Step-by-step explanation:

First we are looking for what number divided by 3 equals -7.

21 divided by 3 equals 7

So we know that we need the opposite of 21 which is -21.

Insert into equation:

-21/3=-7

So this makes the equation true.

Hence, the correct answer is -21.

Now we are looking for what number divided by -4 equals -4.

-16 divided by -4 equals 4.

So we know that we need the opposite of -16 which is 16

Insert into equation:

16/-4=-4

This makes the equation true.

Hence, the correct answer is 16

Given:

Cost of one bicycle = $215

Let's find the amount that will be paid for 87 bicycles.

To find the price of 87 bicycles, multiply the cost of each bicycle by the number of bicycles, 87.

Let's use the lattice method to multiply.

To multiply using the lattice method, we have:

By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60

A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.

For a 2x2 matrix A =  \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc

To solve the system of equations using determinants, we need to set up the following matrix:

\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)

The determinant οf this matrix (D) is fοund by using the fοrmula:

D = (3)(-1) - (5)(2) = -13

Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dx = (27)(-1) - (5)(-8) = -11

Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dy = (3)(-8) - (27)(2) = -60

Therefore, the values οf the determinants are:

D = -13

Dx = -11

Dy = -60

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The resultant normal force at point D along the x-direction is \(F_D_x=0\) and  the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)

Consider the equilibrium of the shaft.

Resolve the forces along the y-direction.

\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)

Take moments about point B and about the z-axis:

\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)

Substitute the above value in equation (1).

\(245.71+R_B_y=560\\\\R_B_y=314.29N\)

Resolve the forces along the z-direction.

\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)

Take moments about point B and about the y-axis:

\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)

Substitute the above value in equation (2).

\(605+R_B_z=770\\\\R_B_z=165N\)

a) The resultant normal force at point D along the x-direction is

\(F_D_x=0\)  

b) The resultant shear force at point D along the y-direction is

\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)

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Answer:

Yes, it is a possible solution for Y >/= 5x+7

Step-by-step explanation:

You plug in the values (x,y) ie (-2,5):

5(-2)+7=-3

-3<5 so -3 is less than 5.

Thus, Y is greater than 5x+7 at (-2,5).

Answer:

9/30 and 20/30

Step-by-step explanation:

You must find the least common denominator. To do this, list the multiples of each denominator, and find the lowest number that is the same between them.

10 = 10, 20, 30, 40, 50....

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33....

the lowest multiple that is the same between them is 30.

Answer:

8.49 per pair/pack of gloves

Step-by-step explanation:

i got this by taking 33.96 divided by 4 so i could find out how much for one pair

Answer: There are 32,760 color arrangements possible for painting the bedroom, garage, office, and bathroom with different colors chosen from 15 options.

Step-by-step explanation: To determine the number of color arrangements possible for painting the bedroom, garage, office, and bathroom with different colors chosen from 15 options, we need to calculate the number of permutations.

Since each room is assigned a different color, we can arrange the colors in a specific order. The number of ways to arrange 15 colors in 4 distinct positions is given by the permutation formula:

P(n, r) = n! / (n - r)!

where n is the total number of options (15 colors) and r is the number of positions (4 rooms).

Using the formula, the number of color arrangements possible is:

P(15, 4) = 15! / (15 - 4)!

= 15! / 11!

= (15 * 14 * 13 * 12) / (4 * 3 * 2 * 1)

= 32,760

July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165

This is further explained below.

Generally, The term "cumulative balance" refers to the total amount of money left over at the end of a fiscal year after all surplus amounts have been subtracted from deficit amounts. If there is a negative amount in the Cumulative Balance at the conclusion of a fiscal year, then that balance will be carried forward and used as the opening balance for the next fiscal year.

The term "cumulative account" refers to the total amount of an employee's account under a defined contribution plan (for an unaggregated plan) or the total amount of an employee's account under all defined contribution plans included in an Aggregation Group (for aggregated plans), both of which are determined as of the most recent plan valuation date within the most recent 12-month period that ends on the...

In conclusion, for the following data  July Aug. Sept. Oct. Nov. Dec. Receipts $500 $550 $700 $850 $795 $715 Expenses $490 $550 $600 $795 $ $650 Net Cash Flow $ $0 $ $55 $45 $ Cumulative Balance $10 $ $110 $ $210 $275 the missing values are 750, 10, 100, 65, 10, 165

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The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer:

The answer is 0.34

Step-by-step explanation:

I'm sorry i don't have an explanation for this. please like this comment is my answer is right

Explanation:

You must find the probability of Gina playing at least three games before playing game A. The phrase “at least three” means “three, four, five, or more.” That means Gina would not play game A in the first two occurrences (n – 1 = 3 – 1 = 2). Search the table for all outcomes that do not have A in the first two occurrences. These occurrences represent the event you’re interested in. Estimate the probability using the formula

.

The answer is 0.34.

Answer:

p=$193.86 (assuming we are talking about dollars)

Step-by-step explanation:

In order to solve this problem, we must set each function equal to each other, so we end up with the following equation we must solve for p:

\(130e^{0.004p}=416e^{-0.002p}\)

So next, we divide both sides of the equation by 130 and by \(e^{-0.002p}\)

So we get:

\(\frac{e^{0.004p}}{e^{-0.002p}}=\frac{416}{130}\)

and we simplify, so we get:

\(e^{0.004p}e^{0.002p}=3.2\)

which can be further simplified to:

\(e^{0.006p}=3.2\)

and next, we take the natural logarithm to both sides, so we get:

0.006p=ln(3.2)

and finally we divide both sides of the equation by 0.006 so we get:

\(p=\frac{ln(3.2)}{0.006}\)

and simplify so we get our answer:

p=$193.86  (in the case that p is given in dollars)

Answer: Convert the mixed numbers to improper fractions, then find the LCD and combine them.

Exact Form:

188

5

Decimal Form:

37.6

Mixed Number Form:

37

3

5

hope this helped have a nice day! :)

Answer:

Step-by-step explanation:

(124+64) /5

= 188/5

Answer is = 37.5

Answer:

\(x > -1\\\)

Step by step explanation:

\(~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1\)

Answer: D

Step-by-step explanation:

Answer:

7820 (units²)

Step-by-step explanation:

Given,

Length = 92

Breadth = 84

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

Area of a rectangle

l×b

= 92×85

= 7820

The area of a rectangle is given as:

Area = Length x width

The area of the rectangle is 7728.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

Example:

The area of a rectangle with a length of 3 cm and a width of 4 cm is 12 square cm.

We have,

Rectangular figure:

Length = 92

Width = 84

The area of a rectangle.

Area = length x width

Area = 92 x 84

Area = 7728

Thus,

The area of the rectangle is 7728.

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If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.

Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.

The initial product of the two numbers is:

A x B

If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:

(12A) x (B/4) = (12/4) x A x B = 3AB

So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.

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Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that \(\mu = 50, \sigma = 0.6\)

Sample of 100:

This means that \(n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06\)

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{50.12 - 50}{0.06}\)

\(Z = 2\)

\(Z = 2\) has a pvalue of 0.9772

X = 49.88

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{49.88 - 50}{0.06}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

The equation for the distance d from Dallas, in terms of h, the number of hours Joe has traveled is d = 320 - 69h. Hence, option B is the right choice.

The total distance that Joe needs to cover to travel to Dallas = 320 miles {As he lives 320 miles away from Dallas}.

The distance that Joe covers after traveling for h hours at an average speed of 69 miles per hour = 69h {as Distance = Speed*Time}

Therefore, the distance left to cover by Joe, that is the distance from Dallas d can be written as the difference between the total distance needed to be covered and the distance Joe already covered.

Thus the equation is d = 320 - 69h.

Thus, the equation for the distance d from Dallas, in terms of h, the number of hours Joe has traveled is d = 320 - 69h. Hence, option B is the right choice.

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Answer:

m∆T=44°

Step-by-step explanation:

> 180-108+28

> 180-136

> 44