The answer this problem is 15 it’s the correct answer

Answer:

See explanation

Step-by-step explanation:

We have the length of the rectangle as 2w - 6 and width of the rectangle as w. The perimeter of a rectangle is given by 2(l + b) hence;

perimeter of the rectangle = 2 (2w - 6 + w) = 6w -12

For an equilateral triangle in which each side is w + 8, its perimeter is;

3(w + 8) = 3w + 24

Then the question goes further to say that the perimeter of the rectangle and equilateral triangle are equal

6w -12 = 3w + 24

6w - 3w = 24 + 12

3w = 36

w =12

Hence perimeter of rectangle = 6(12) -12 = 60

Perimeter of equilateral triangle =3(12) + 24 = 60

On the outside to the left of the L shape is K, then the synthetic division used to represent the dividend is\(2x^{3} +10x^{2} +x+5\).

A more straightforward method of dividing a polynomial using a degree one polynomial equation is known as synthetic division.

a simplified method for dividing a polynomial by another polynomial of the first degree by writing down only the coefficients of the several powers of the variable and changing the sign of the constant term in the divisor so as to replace the usual subtractions by additions.

Here,

An L shape is created when a vertical line and a horizontal line are combined.

Within the form, there are two rows of entries.

Entries 2, 10, 1, and 5 are in row 1.

Row 2 has the entries -10, 0 and blank.

On the outside, to the left of the form, is entry number five.

The entry stands for the divisor's zero.

This entry for the variable, let's say x, is \(2x^{3} +10x^{2} +x+5\).

Therefore, the Synthetic division of the dividend is \(2x^{3} +10x^{2} +x+5\).

To learn more about visit Synthetic division :

brainly.com/question/27928665

#SPJ1

Answer: Step 1: K=2, Step 2: A=1, Step 3: B=2, C=-1, D=-2 LAST QUESTION is A on edge.

Step-by-step explanation:

Answer:

D 5

Step-by-step explanation:

Answer:

B. 1/2?

Step-by-step explanation:

Answer:

slope = - \(\frac{3}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (8, - 8 ) ← 2 ordered pairs from the table

note that any 2 ordered pairs may be used to calculate m

m = \(\frac{-8-1}{8-2}\) = \(\frac{-9}{6}\) = - \(\frac{3}{2}\)

Answer:

numbers

Step-by-step explanation:

numbers

Answer:

3a + (5b + 7c)

Step-by-step explanation:

The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac

the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca

the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number

The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.

In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.

For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.

The first option is correct because it does not affect the main equation rest are not the same as the equation.

For example, let's take the second equation :

3a (5b + 7C)

After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.

To get more information about Expression :

https://brainly.com/question/13947055

#SPJ5

Analyzing this situation, it is correct to say that the legislative body would not have sociological representation, because the composition of the legislature does not have the effective proportion of individuals representing the residents of the state.

It corresponds to the representation of the members of a certain group and community and their participation in the formation of social institutions that form the basis of the system of beliefs, practices and social values.

Therefore, through the calculation of the proportion in relation to the data of the question, it can be seen that the legislative body does not have the sociological representation of the state.

Find out more information about sociology here:

https://brainly.com/question/14363783

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

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

3-0

151 -7

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

3

144/3

48ft/s

Answer:

A = 254.5 mm^2

Step-by-step explanation:

The radius of this circle is 9 mm.

Using the formula A = (pi)r^2, we find the area of this particular circle to be:

A = (pi)(9 mm)^2, or

A = 254.5 mm^2

Using Trigonometric ratios, we can conclude the length of the indicated side is 12.70m.

It can be solved using Trigonometric ratios and Pythagoras theorem

Firstly using Trigonometric ratios

Using Sinθ,

Sinθ = perpendicular / hypotenuse(h)

Sin 39 = 8 / h

0.63 = 8 / h

h = 8 / 0.63

h = 12.70

∴ The length of indicated side is 12.70m

Secondly, using Pythagoras theorem,

(hypotenuse)² = (Altitude)² + (Base)²

⇒ (H)² = 8² + 10²

⇒ (H)² = 64 + 100

⇒ (H)² = 164

⇒ H = √164

⇒ H = 12.80

∴ The length of indicated side is 12.80m

To learn more about trigonometric ratios from given link

https://brainly.com/question/24349828

#SPJ9

Applying the angle of intersecting secants theorem, the measure of arc JML is: 262°.

The angle of intersecting secants theorem states that when two lines form an external angle outside a circle, the measure of the angle is half the difference between the measure of the major and minor intercepted arcs.

Thus:

m∠JKL = (measure of arc JML - measure of arc JL)/2 => angle of intersecting secants theorem

m∠JKL  = 8x - 6

measure of arc JML = 25x - 13

measure of arc JL = 360 - (25x - 13)

Plug in the values

8x - 6 = [(25x - 13) - (360 - (25x - 13))/2]

Solve for x

2(8x - 6) = [(25x - 13) - (360 - 25x + 13)]

16x - 12 = [(25x - 13) - (373 - 25x)]

16x - 12 = 25x - 13 - 373 + 25x

16x - 12 = 50x - 386

16x - 50x = 12 - 386

-34x = -374

x = 11

Measure of arc JML = 25x - 13

Plug in the value of x

Measure of arc JML = 25(11) - 13 = 262°

Learn more about angle of intersecting secants theorem on:

https://brainly.com/question/1626547

Answer:

The truck now weighs 2130 kilograms. Hope this helps.

Step-by-step explanation:

Answer:

2nd choice:  -3x - 5 = 10

Step-by-step explanation:

10 - x = -5

-x = -5 - 10 = -15

-3x - 5 = 10

-3x = 10 + 5

x = 15/-3 = -5

Answer:

a.) perimeter: 48 yards      area: 96 sq. yds

b.) perimeter: 39 feet     area: 74.36 ft. sq.

Step-by-step explanation:

a.) perimeter: 16 + 20 + 12 = 48          area: height * base / 2 = 96

b.) perimeter: (14.3 * 2) + (5.2 * 2) = 39        area: Length * Width = 74.36

Answer:

Area = 96 yd

Perimeter = 48 yd,

Area = 74.36 yd

Perimeter = 39 yd

Step-by-step explanation:

To write out the joint probability for the given sentence using the chain rule, we can express it as follows: p(There, is, only, one, person, who, is, not, ordinary) =

p(There) * p(is | There) * p(only | is, There) * p(one | only, is, There) *, p(person | one, only, is, There) * p(who | person, one, only, is, There) *,p(is | who, person, one, only, is, There) * p(not | is, who, person, one, only, is, There) *,p(ordinary | not, is, who, person, one, only, is, There).

This expression applies the chain rule to break down the joint probability of the sentence into the product of the conditional probabilities of each word given the preceding words in the sentence. To write out the probability using the second-order Markov assumption, we assume that the probability of each word only depends on the two preceding words. Therefore, we can express the probability as follows:

p(There, is, only, one, person, who, is, not, ordinary) = p(There) * p(is | There) * p(only | There, is) * p(one | is, only) *
p(person | only, one) * p(who | one, person) * p(is | person, who) *
p(not | who, is) * p(ordinary | is, not)
This expression only considers the two preceding words for each word in the sentence, which is the second-order Markov assumption.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

The number of copies that must be sold in a month in order for the manufacture to break even is 1366 copies (approximately).

We know that,

SP of 1 copy = $21.27

Manufacturing cost of 1 copy = $15.78

Monthly fixed costs = $7500

Total monthly cost = Fixed monthly cost + Manufacture cost of 1 copy * number of copies

Let the number of copies that must be sold be x.

Also,

Total monthly cost = Total revenue obtained = SP of 1 copy* number of copies

Hence,

21.27*x = 7500 + 15.78*x

21.27x - 15.78x = 7500

5.49x = 7500

x = 7500/5.49 = 1366.12 ≈ 1366 copies

To learn more about number, here:-

https://brainly.com/question/17429689

#SPJ4

Answer:

Look at picture attached

Step-by-step explanation:

I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)

Edit: The second attachment shows the point you can plot.

The 90% confidence interval for the mean airborne time for flights from San Francisco to Washington Dulles is between 259.801 and 280.199 minutes.

In statistical terms, a 90% confidence interval means that if we were to repeatedly sample flights from San Francisco to Washington Dulles and calculate their mean airborne time, approximately 90% of the resulting confidence intervals would contain the true mean airborne time. The calculated interval of 259.801 to 280.199 minutes suggests that we are 90% confident that the true mean airborne time falls within this range. This means that based on the given sample data, there is a high likelihood that the average flight duration from San Francisco to Washington Dulles is somewhere between 259.801 and 280.199 minutes.

Learn more about confidence intervals

brainly.com/question/32546207

#SPJ11

For the given cost function, the maximum profit is $250.

What is profit maximization?

According to the firm theory, a company is founded with the intention of maximizing profits.

A company must run at the lowest possible cost while maximizing revenues in order to accomplish this.

When marginal costs and marginal revenue are identical, profits are maximized.

1. Determine the profit maximizing output.

For a firm in a competitive market, the marginal revenue is equal to the price (MR = P)

Get the MC by differentiating the total cost with respect to the quantity (Q)

C = 50 + 3Q^2

dC / dQ =6Q

MC = 6Q

Profit will be maximized when: MR = MC

MR = MC

60 = 6Q

Q =10

This is the profit maximizing output.

2. To get the maximum profits substitute this value into the equation:

Profit = Total revenue - Total cost

Profit = (P*Q) - (50 + 3Q^2)

Profit = (60*10) - (50 + 3*10^2)

Profit = 600 - 350

Profit = 250

Hence, for the given cost function, the maximum profit is $250.

To know more about profit maximization, click on the link

https://brainly.com/question/13464288

#SPJ4

The recommended improvement is to introduce a placebo control (e.g., water) for Group B.

Here, we have,

To improve the experiment and research questions, introducing a placebo control (e.g., water) for Group B would be a valuable addition. This ensures that any observed differences in performance between the two groups are specifically attributable to the Awesome Drink Energy Juice and not influenced by other factors such as placebo effects or the act of consuming a beverage.

By including a placebo control, Group B would receive a drink that appears similar to the Awesome Drink Energy Juice but lacks the active ingredients or properties claimed to enhance performance. This allows for a more rigorous comparison between the effects of the energy juice and the placebo, providing a clearer understanding of the true impact of the intervention.

The improved research question would then be: Does the Awesome Drink Energy Juice improve Biochemistry performance compared to a placebo control?

Including a placebo control strengthens the experiment by providing a more robust comparison and addressing potential confounding variables that may affect the results. It helps to isolate the specific effects of the Awesome Drink Energy Juice and provides more reliable evidence of its impact on performance.

Therefore, the recommended improvement is to introduce a placebo control (e.g., water) for Group B.

learn more on structure :

https://brainly.com/question/31190503

#SPJ4

complete question:

The students in a Biochemistry class aren't performing as well as they could and the lecturer thinks that their grades can be improved by having students drink Awesome Drink Energy Juice. The lecturer splits the students into two groups, group A and group B: Group A receives the Awesome Drink Energy Juice and Group B does not. He asks them to complete as many Biochemistry problems as possible in one hour. At the end of one hour, Group A completed 27 problems and Group B completed 41 problems. How could his experiment (and research questions) be improved? Introduce a placebo control (e.g. water) for Group B O Add an additional control group that had good performance Make grades the dependent variable O Introduce a placebo control (e.g. water) for Group A O Add an additional control group that had low performance O Make grades the independent variable

Answer:

5. B, C and E

6. C

7. None

8. A and D

9. F and G

Step-by-step explanation:

See attachment for complete question

5. B, C and E

B, C and E are not parallelogram because they do not have 2 pairs of parallel sides

B and E are trapeziums while C is just a quadrilateral.

6. C

In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.

7. None

A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.

8. A and D

A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.

9. F and G

These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

Learn more about mean absolute here :brainly.com/question/29545538

#SPJ4

Answer:

2x - 2y

Step-by-step explanation:

P = 7x + 2y

P =a + b + c

7x + 2y = 2x + y +3x - 5y + c

7x + 2y - 5x - 4y

= 2x - 2y

Answer:

$2.61

Step-by-step explanation:

Answer:

2.61 price per foot

Step-by-step explanation:

5.22/2 = 2.61 price per foot

The hash table with a size of 11 and the hash function h(x) = 2x mod 11 will be filled with values 65, 75, 68, 26, 59, 31, 41, 73, and 114 in the given order.

After inserting the values, the resulting hash table will have the following elements at each index: Index 0: 114, Index 1: -, Index 2: 65, Index 3: 26, Index 4: 68, Index 5: 75, Index 6: 31, Index 7: 59, Index 8: -, Index 9: 41, and Index 10: 73.

To determine the position of each value in the hash table, we apply the hash function h(x) = 2x mod 11.

For the first value, 65, applying the hash function gives us h(65) = 2 * 65 mod 11 = 9. So we insert 65 at index 9.

Similarly, for the remaining values, we calculate their corresponding positions in the hash table:

- 75: h(75) = 2 * 75 mod 11 = 8 (inserted at index 8)

- 68: h(68) = 2 * 68 mod 11 = 1 (inserted at index 1)

- 26: h(26) = 2 * 26 mod 11 = 3 (inserted at index 3)

- 59: h(59) = 2 * 59 mod 11 = 7 (inserted at index 7)

- 31: h(31) = 2 * 31 mod 11 = 9 (collision with index 9, so we handle collision by chaining or other methods)

- 41: h(41) = 2 * 41 mod 11 = 9 (collision with index 9, so we chain it after 31)

- 73: h(73) = 2 * 73 mod 11 = 10 (inserted at index 10)

- 114: h(114) = 2 * 114 mod 11 = 0 (inserted at index 0)

After inserting all the values, the resulting hash table will have the elements as mentioned . In cases of collision, like the values 31 and 41 both hashing to index 9, we can handle them by chaining the values at the same index.

Learn more about hash table click here: brainly.com/question/32189175

#SPJ11