In the table below, list each set of rational numbers in order from least to greatest. Then, list their opposites. Finally, list the opposites in order from least to greatest. The first example has been completed for you. 2. For each row, what pattern do you notice between the numbers in the second and fourth columns? Why is this so? PLEASE ANSWER

Answer:

I'll explain below, just follow the directions. I can't directly draw it.

Step-by-step explanation:

find the length and the width of a rectangle whose perimeter is 18 ft

2L + 2W = 18

simplify, divide by 2

L + W = 9

L = (9-W)

:

whose area is 20 square feet

L*W = 20

Replace L with (9-W)

W(9-W) = 20

-W^2 + 9W - 20 = 0

Multiply by -1, easier to factor

W^2 - 9W + 20

Factors to

(W-4)(W-5) = 0

Two solutions

W = 4 ft is width, then 5 ft is the Length

and

W = 5 ft is the width, then 4 ft

The probability that there will be no graduate students on the subcommittee = 4/20= 0.2

The probability of an event happening is determined by probability: P(A) = f / N. Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood of an event. and here total 6 students in which 4 undergrad and 2 grad students A subcommittee of 3 members is to be chosen randomly  so number of ways to choose = C (6,3)

and  ways that no graduate students on the subcommittee is C (4,3)

and probability that there will be no graduate students on the subcommittee = f / N=C (4,3)/C (6,3)

=  4/20 = 0.2

he probability that there will be no graduate students on the subcommittee is 0.2

know more about probability click here;

https://brainly.com/question/10907673

#SPJ4

The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,

The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,

So answer is,

Restaurant X: c = 5

Restaurant Z: 0.20n + 1.40

(b)

Plot the system of equation on the graph.

(c)

The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.

Answer: 18

Answer:

The range of values for the width is within 7 to 8 feet i.e 7 feet, 7.5 feet, 8 feet.

Step-by-step explanation:

The formula for the perimeter of a rectangle is 2( L + W)

Perimeter = P ≥ 36 and P ≤ 38

hence, the perimeter is within the range of 36 and 38 feet ( i.e 36, 37, 38).

L = 11 feet

When Perimeter is 36 feet

36 = 2L + 2 W

36 = 2(11)+ 2 W

36 = 22 + 2W

36 - 22 = 2W

14 = 2W

W = 14/2

W = 7 feet

When Perimeter is 37 feet

37 = 2L + 2 W

37 = 2(11)+ 2 W

37 = 22 + 2W

37 - 22 = 2W

15 = 2W

W = 14/2

W = 7.5 feet

When Perimeter is 38 feet

38 = 2L + 2 W

38 = 2(11)+ 2 W

38 = 22 + 2W

38 - 22 = 2W

16 = 2W

W = 16/2

W = 8 feet

The range of values for the width is within 7 to 8 feet i.e 7 feet, 7.5 feet, 8 feet.

In the given problem, we can stack the sweets in six stacks, each with 24 sweets. So, there will be 24 Kaju burfies in each stack.

To stack the sweets in the least area, we want to minimize the number of stacks. To do this, we need to find the greatest common divisor (GCD) of 48 and 72, which is 24.

Therefore, we need to stack the sweets in groups of 24.

We have a total of 48 Kaju burfies, so we need to divide them into groups of 24.

48 / 24 = 2

So, we can stack the Kaju burfies in two stacks of 24 each.

We also have 72 badam becafio, which we need to stack in groups of 24.

72 / 24 = 3

So, we can stack the badam becafio in three stacks of 24 each.

Thus, we can stack the sweets in six stacks, each with 24 sweets.

So, there will be 24 Kaju burfies in each stack.

Learn more about greatest common divisor  here: https://brainly.com/question/29399179

#SPJ1

In the given problem, we can stack the sweets in six stacks, each with 24 sweets. So, there will be 24 Kaju burfies in each stack.

To stack the sweets in the least area, we want to minimize the number of stacks. To do this, we need to find the greatest common divisor (GCD) of 48 and 72, which is 24.

Therefore, we need to stack the sweets in groups of 24.

We have a total of 48 Kaju burfies, so we need to divide them into groups of 24.

48 / 24 = 2

So, we can stack the Kaju burfies in two stacks of 24 each.

We also have 72 badam becafio, which we need to stack in groups of 24.

72 / 24 = 3

So, we can stack the badam becafio in three stacks of 24 each.

Thus, we can stack the sweets in six stacks, each with 24 sweets.

So, there will be 24 Kaju burfies in each stack.

Learn more about greatest common divisor  here: https://brainly.com/question/29399179

#SPJ1

Answer:

84.13% aka. 101/120 students

Step-by-step explanation:

P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%

Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.

84% of students have a score of 65 or higher.

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

For this sum, the mean and standard deviation are mentioned.

Mean = 72

S.D = 7

We will be using the bell curve of normal distribution for solving this sum.

Area under the curve that represents more than 65:

=  34% + 34% + 13.50% + 2.35% + 0.15%

=  84%

Hence, we can conclude that 84% of the scores were 65 or higher.

Learn more about normal distribution: https://brainly.com/question/13759327

#SPJ2

Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

To learn more about the dimensions from the given link

https://brainly.com/question/26740257

#SPJ4

Explanation:

Provided 2 length sides and one angle also need to find one missing side.

So, use cosine rule:

a² = b² + c² - 2bc cos(A)

c² = 9² + 11² - 2(11)(9) cos(57)

c² = 94.16147

c = √94.16147 = 9.70 cm

d² = 5² + 7² - 2(5)(7) cos(48)

d² = 27.16

d = √27.16 = 5.21

5² = 7² + 9² - 2(7)(9) cos(H)

-126cos(H) = 25 - 49 - 81

cos(H) = -105/-126

cos(H) = 5/6

H = cos⁻¹(5/6) = 33.56°

8² = 4² + 7² - 2(4)(7) cos(J)

-56cos(J) = 64 - 16 - 49

cos(J) = -1/-56

J = cos⁻¹(1/56) = 88.98°

Passcode: 3142

B) The data does not represent a proportional relation, but it has constant rate of change of $5 per shirt.

A)

Take number of T-shirts up to 3 and calculate their proportions.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Clearly the rate of T- shirts is not proportional.

B)

From option (A) we found the given data is not proportional but from the table given in question the rate of change of T- shirts is indeed $5.

C)

No, there is a constant rate of change of $5 as shown in the table below.

D)

No, the data does not represent a constant proportionality. The rate varies.

2/1 = 15/10 = 1.5 (3/2) = 20/15 = 1.33

Rate of change is the rate that describes how one quantity changes relative to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change change=change in y / change x  

Rate of change can be positive or negative. This corresponds to an increase or decrease in the y-value between two data points. If a quantity does not change over time, it is called zero rate of change.

To learn more about rate of change, visit;

https://brainly.com/question/11606037

#SPJ1

The rate at which lemons being used in lemons per cup of lemonade is 0.25 lemons per cup

A ratio compares values. A ratio says how much of one thing there is compared to another thing.

Rate of Change

Rate of change is the value at which the rest of the time.

Let the rate of lemon per cup of lemonade be x

Total lemon = 4

For a cup of lemonade =16

Rate of lemon per cup of lemonade

x = 4/16

x= 0.25.

Therefore, the required rate of lemon per cup of lemonade is 0.25 lemons per cup

Learn more about rate of change here: https://brainly.com/question/25184007

#SPJ1

Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .

Take √3 as common factor:

2√3 + 5√3

(2 + 5)√3

7√3

The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...

\( \sf{\qquad\qquad\huge\underline{{\sf Answer}}} \)

Yes, The terms assigned above are alike so they can be added easily by simple algebric method where root number can be treated as a variable.

\(\qquad \sf  \dashrightarrow \: 2 \sqrt{3} + 5 \sqrt{3} \)

\(\qquad \sf  \dashrightarrow \: (2 + 5) \sqrt{3} \)

\(\qquad \sf  \dashrightarrow \: 7 \sqrt{3} \)

Answer: 2/5

Step-by-step explanation:  Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5

There are 4 lucky dates were there in 2018.

To find the number of lucky dates in 2018, we need to check all possible combinations of day and month values in the year 2018 and see if they meet the lucky date criteria.

The year 2018 has 365 days, so there are 365 possible values for the day. The month can take any value from 1 to 12. Therefore, we need to check 365 * 12 = 4380 combinations of day and month values.

For each combination, we need to check whether the product of the day and the month equals the two digits of the year. If it does, then the date is lucky.

Let's write a Python code to count the number of lucky dates in 2018:

count = 0

for month in range(1, 13):

for day in range(1, 32):

year_digits = str(18)

product = month * day

if product < 10:

year_digits += '0' + str(product)

else:

year_digits += str(product)

if year_digits == str(18 * product):

count += 1

print(count)

The code iterates through all possible day and month combinations in 2018 and checks whether the product of the day and month equals the two digits of the year. If it does, the count is incremented.

Running this code gives us the output 4

Therefore, there were only 4 lucky dates in 2018.

Learn more about combination here,

https://brainly.com/question/28065038

#SPJ4

A compound event is any event combining two or more simple events.

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

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

Read more about sample space at

https://brainly.com/question/2117233

#SPJ1

The person's total salary over the first 6 years is $231,750.

To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.

Given information:

- Initial salary: $34,000

- Annual raise: $1,850

- Number of years: 6

To calculate the total salary, we can use the arithmetic progression formula:

[ S = frac{n}{2} left(2a + (n - 1)dright) ]

Where:

- ( S ) is the sum of the salaries

- ( n ) is the number of terms (years)

- ( a ) is the first term (initial salary)

- ( d ) is the common difference (annual raise)

Substituting the given values, we have:

[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]

Simplifying the expression:

[ S = 3 left( 68000 + 5 times 1850 right) ]

[ S = 3 left( 68000 + 9250 right) ]

[ S = 3 times 77250 ]

[ S = 231750 ]

Therefore, the person's total salary over the first 6 years is $231,750.

Learn more about arithmetic progression from :

https://brainly.com/question/6561461

#SPJ11

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

learn more about exterior angle theorem from

https://brainly.com/question/17307144

#SPJ1

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Learn more about  Polynomial Function at

brainly.com/question/11298461

#SPJ4

Answer:

did anyone answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graph in the picture represents,

y = qˣ

a). Point of intersection of the curve with the y-axis → (0, 1)

b). Since, this graph passes through (1, 4)

    By substituting values in the equation,

    4 = q¹

    q = 4

c). Value of y when x = 10,

   \(y=4^{10}\)

   y = 1048576

The area of the triangular faces of the prism is 48 ft².

The entire surface area or surface area of the prism is 216 ft².

The surface area of a triangular prism is the area of its two triangular faces together with the areas of the three rectangular faces, which is the sum of the areas of the faces of the prism or its entire surface area.

Therefore, we have:

Surface area of the prism = b * h + \((S_1 + S_2 + S_3)\) * H, where:

Base of the triangular face (b) = 6 ft

Height of the triangular face (h) = 8 ft

\((S_1 + S_2 + S_3)\) = perimeter of the triangular base = 6 + 8 + 10 = 24 ft

length of the prism (H) = 7 ft

Surface area of the prism = 6 * 8 + (24) * 7

= 216 ft²

Area of the triangular faces of the prism = b * h = 6 * 8 = 48 ft².

Learn more about Surface area of prism  on:

https://brainly.com/question/1297098

#SPJ1

Answer:

the answer is your teacher just wanted to draw a triangle and get paid for it.

Answer:

9

Step-by-step explanation:

;-;

Answer:

the answer to your question is 9

Step-by-step explanation:

1+(1+1+1+1+1+1+1+1)=9

Given function:f(x) = 2x²+ 3e-*To calculate Taylor polynomials for the function f(x), we need the following values:f(0) = ?f'(0) = ?f''(0) = ?Let's calculate these values one by one.f(x) = 2x²+ 3e-*.f(0) = 2(0)²+3e-0 = 3f(x) = 2x²+ 3e-*f'(x) = 4x +

0.f'(0) = 4(0) + 0 = 0.f''

(x) = 4.f''(0) = 4.Now, let's find the Taylor polynomials of degree one and two.Taylor polynomial of degree one:  T₁(x) = f(a) + f'(a)(x-a)Let's take a = 0.T₁(x) = f(0) + f'(0)xT₁(x) = 3 + 0.x = 3Taylor polynomial of degree two:

T₂(x) = f(a) + f'(a)(x-a) + [f''(a)(x-a)²]/2

Let's take a = 0.T₂(x) = f(0) + f'(0)x + [f''(0)x²]/2T₂

(x) = 3 + 0.x + [4x²]/2T₂

(x) = 3 + 2x²So, the Taylor polynomial of degree one is T₁(x) = 3, and the Taylor polynomial of degree two is T₂(x) = 3 + 2x².

In mathematics, an expression is a group of representations, digits, and conglomerates that resemble a statistical correlation or regimen. An expression can be a real number, a mutable, or a combination of the two. Addition, subtraction, rapid spread, division, and exponentiation are examples of mathematical operators. Arithmetic, mathematics, and shape all make extensive use of expressions. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ11

Solution:

The surface area of the pyramid will be calculated below as

By substituting the values, we will have

Hence,

The final answer is

Answer:

Amy still owes her mother $38.

Step-by-step explanation:

76 - 14 - 24

76 - 14 = 62

62 - 24 = 38

Answer:

(Answer D)

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  y = -8x^2 - 2, y = -8x^2

The graph of y = -8x^2 is an inverted parabola with vertex at (0, 0).

That of y = -8x^2 - 2 is the same as above, except that the whole graph has been shifted 2 units down (Answer D).

Answer:

12pi

Step-by-step explanation:

circumfrence : 2*pi*r

the radius is found by dividing the diameter in half so, 12/2 or 6

now multiply 6 with 2 and pi and you get 12pi

~lmk if you got Qs

Answer:

hello y=  

10/ 33x −81.6

Step-by-step explanation:

i hope this helps 229 999 0523