6z + 9 - 7 = 4z + 12

Answer:

Step-by-step explanation: just here 4 the points :) srry

Answer:

Option (2)

Step-by-step explanation:

Given:

Diameter of the circular base of a cone = 6 feet

Volume of the cone = 176 cubic feet

To Find:

Height of the cone

Solution:

Formula to be used to get the height of the cone,

Volume of cone = \(\frac{1}{3}\pi r^{2} h\)

Here, r = Radius of the cone

h = Height of the cone

By substituting the values in the formula,

176 = \(\frac{1}{3}\pi (\frac{6}{2})^2(h)\)

176 = 3πh

h = \(\frac{176}{3\pi }\)

h = \(\frac{176}{3(3.14)}\)

h = 18.68 feet

Therefore, Option (2) is the correct option.

Answer:

27,9

Step-by-step explanation:

24²+7²=x²

576+49=x²

778=x²

x=root(778)

x=27,9

Step-by-step explanation:

Answer 1

x+x+y+3y+z+2z

2x+4y+3z

Answer 2

2x+4y+3z

( no like terms are there so it cannot be added)

Answer 3

9xyz

last two answers will also be similar as the question because unlike terms cannot be added..

A) The regular price of a t-shirt is $18. What is the discount price?

$14.4

B) Which equation represents this problem?

a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x

The answer would be B.

C) The discount price of a hat is $18. What is the regular price?

22.5

Hope it helped!! ^^

Note: if you need me to explain i Would be happy to do so! :)

China Lodging Group can leverage its resources and experience to target the upper-middle and top-end hotel segments by utilizing data-driven insights and strategic investments while considering associated risks.

To leverage its resources and experience, China Lodging Group can employ a data-driven approach by analyzing key metrics such as customer preferences, market demand, pricing strategies, and competitor analysis.

By identifying market gaps and consumer trends, the company can develop targeted marketing campaigns, enhance service quality, and invest in upgrading facilities to attract and retain upper-middle and top-end clientele.

Variables to consider may include customer satisfaction scores, occupancy rates, revenue per available room (RevPAR), average daily rate (ADR), and market share.

The associated risks involve potential market saturation, changes in consumer preferences, and the need for significant investments in infrastructure and talent development.

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Answer:

I think positive

Step-by-step explanation:

Answer:

zero, D

Step-by-step explanation:

a horizontal line (left to right) would be zero

a verticle line (up and down) would be undifined

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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The dimension of the box should be 1.7×1.7×3.58 in inches, applying minimization of surface area.

Dimensions to Minimize the Surface Area of the Box

It is given that the box is square based with an open top.

⇒ The box has one square and 4 rectangles

Thus, the total surface area of the box is given as,

S= a²+ab+ab+ab+ab  

S= a²+4ab ______________ (1)

Here, a is the side of the squared base and length of the rectangular sides of the box, b is the breath of the rectangular sides of the box.

This equation is later used for minimization of the surface area.

Also, the volume, V = a²b

It is also given that volume of the box is 184 in³.

⇒ 184 = a²b _____________ (2)

Forming a One-Variable Equation

From equation (2), b=184/a²

Now, substitute this value of b in equation (1) to get,

S = a² + 4a(184/a²)

S = a² + 4(184/a)

S = a² + 736/a

Minimization of Surface Area to find the Dimension

We require a dimension that will minimize the surface area of the box. Hence, applying minimization surface area, dS/da = 0

dS/da = 2a -736/a²

0 = 2a -736/a²

⇒ 0 = 2a³- 736

2a³ = 736

a³ = 736/2

a³ = 368

a = ∛368

a= 7.17 in

∵V = a²b

184 = (7.17)²b

b = 184/7.17²

b = 184/51.4089

b = 3.58 in

Therefore, 1.7×1.7×3.58 in inches is the required dimension for the box, using minimization of surface area..

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Answer:

C

Step-by-step explanation:

Domain is the X value meaning it it the first number in the sets of numbers.

Answer:

C.

Step-by-step explanation:

The domain is the X coordinates which are the first coordinates in the coordinate set. So you get -2, 2, 4, 5. Hope this helps! Have a great day!

Answer:

C.Tammy’s estimate is right, but the actual product should be 24.78.

Step-by-step explanation:

i took the assessment! thank you for your attention and i hope i helped!!

Answer:

the answer is C which is Tammy’s estimate is right, but the actual product should be 24.78.

Step-by-step explanation:

B.)

Step-by-step explanation:

area of a 10 inch pizza: A=pi * r^2 = 25 pi

area of a 14 inch pizza : A= 49 pi

the change : 49pi - 25pi = 24 pi or about 75.39822

Answer:

105. Alternate Interior Angles are Congruent. <3

Step-by-step explanation:

Alternate Interior Angles are Congruent <3 .In geometric terms, two sides of a polygon that share an endpoint make up an angle.

In geometric terms, two sides of a polygon that share an endpoint make up an angle. This angle is known as an internal angle for a simple polygon if a point within it is located inside the polygon, regardless of whether the polygon is convex or not. the inner of the two angles created where two polygonal sides meet, according to Wikipedia. any one of the four angles created when a third line cuts a pair of parallel lines.

inside angles The angles created within or inside of a shape are called interior angles. The interior angles in this case are ABC, BCA, and CAB.

Given ,

m<4=105

m<5=105

Therefore alternate interior angles is congruent to<3

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer:

Step-by-step explanation:

Amount = Rs 8820

Compound Interest = Rs 820.

Step-by-step explanation:

We have to find the amount and the compound interest on Rs. 8000 at 5% per annum for 2 years compounded annually​.

Let the Principal sum of money = P

Rate of Interest = R

Time Period = T

Amount of money = A

As we know that Amount formula for compounded annually is given by;

             Amount =  

                                     Or

Now, we are given with P = Rs 8000 , R = 5% p.a. and T = 2 years; we have to find the amount,i.e;

                      A =

                      A =

                      A = Rs 8820

That means Amount = Rs 8820

Also, Compound Interest formula is given by;

         Amount = Principal + Compound Interest

        Compound Interest = Amount - Principal

                                          = Rs (8820 - 8000)

                                          = Rs 820

Therefore, amount and the compound interest on Rs 8000 at 5% per annum for 2 years compounded annually​ are Rs 8820 and Rs 820 respectively.

Answer:on which interval is the function increasing

Answer:(4, infinity

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

The distributive property of real numbers says

a(b + c) = ab + ac. Here, the number outside multiplies the numbers only in the parentheses. Therefore the statement is true. The number located outside can be applied to only numbers in parentheses.

Answer:

True

Step-by-step explanation:

The cost of an adult ticket is £15.25.

We can start by creating a system of two equations to represent the situation. Let's say "c" is the cost of a child ticket, and "a" is the cost of an adult ticket.

From the information given, we know that the cost of an adult ticket is £9 more than the cost of a child ticket. So we can compose the first equation as:

a = c + 9

Next, we know that the total cost of the six tickets is £55.50. There are two adult tickets and four child tickets, so the second equation can be written as:

2a + 4c = 55.50

Now that we have two equations, we can substitute the first equation into the second equation to get:

2(c + 9) + 4c = 55.50

Expanding the first equation and simplifying it, we get:

6c + 18 = 55.50

Subtracting 18 from both sides of the equation, we get:

6c = 37.50

Divide both sides of the equation by 6, and we get:

c = 6.25

So the cost of a child ticket is £6.25.

Finally, we can use the first equation to find the cost of an adult ticket:

a = c + 9

a = 6.25 + 9

a = £15.25

Therefore, the cost of an adult ticket is £15.25.

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--The given question is incomplete; the complete question is

"Mr and Mrs Smith buy tickets for themselves and their four children.

The cost of an adult ticket is £9 more than the cost of a child ticket. The total cost of the SIX tickets is £55.50

Work out the cost of an adult ticket. In your work, let c be the cost of a child ticket and a be the cost of an adult ticket."--

Answer:

4

Step-by-step explanation:

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

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

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon = 360°

No, we cannot arrange all the pieces to make a rectangle with no pieces overlapping and no gaps because there are an odd number of squares of one type.

To determine whether it is possible to arrange all the given pieces to make a rectangle without any overlapping or gaps, we need to analyze the shapes and sizes of the pieces. In order to form a rectangle without any overlapping or gaps, all sides of the rectangle should be continuous and connected.

Upon examining the given pieces, we may notice that some pieces have shapes that do not fit together in a way that allows us to create a rectangle without overlapping or leaving gaps. For example, if we have a curved piece, it would not be possible to arrange it with straight pieces to form a rectangle without any overlapping or gaps.

Based on the shapes and sizes of the given pieces, it can be concluded that it is not possible to arrange them to create a rectangle without overlapping or gaps.

Therefore, we cannot make a rectangle with the given pieces.

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The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

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The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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Answer:

Step-by-step explanation:

Use the given formula and substitute the value of x:

f(1)

Done

Answer:

solution set={18,10}

Step-by-step explanation:

x²-8x-180

comparing the above equation with the standard quadratic ax²+bx+c=0 equation,we get

here a=1 and b=-8 and c=-180

the quadratic formula is

x=-b±√(b)²-4ac/2a

putting values in the quadratic equation

x=-(-8)±√(-8)²-4(1)(-180)/2(1)

x=8±√64+720/2

x=8±√784/2

either

x=8+√784/2                               or      x=8-√784/2

x=8+28/2                                     or       x=8-28/2

x=36/2                                      or           x=-20/2

x=18                                       or                  x=-10

solution set = {18,-10}   

i hope it will help you    

Answer:  x = 18, x = -10

Step-by-step explanation:

 x² - 8x - 180 = 0

a=1  b=-8 c=-180

Use the quadratic formula:

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(-180)}}{2(1)}\\\\\\.\quad =\dfrac{8\pm \sqrt{64+720}}{2}\\\\\\.\quad =\dfrac{8\pm \sqrt{784}}{2}\\\\\\.\quad = \dfrac{8\pm 28}{2}\\\\\\.\quad =\dfrac{8+28}{2}\qquad or\qquad \dfrac{8-28}{2}\\\\\\.\quad =\ \dfrac{36}{2}\qquad \ or\ \qquad \dfrac{-20}{2}\\\\\\\large\boxed{x = 18\qquad or \qquad x=-10}\)

Answer:

Check pdf

Step-by-step explanation: