Factorise 28x+30......​

Answer:

Step-by-step explanation:

\begin{align*}

T_{1,1} &= \frac{1}{2} (f(0) + f(1)) \\

&= \frac{1}{2} (1 + \frac{1}{2}) \\

&= \frac{3}{4}

\end{align*}

Now, for two subintervals:

\begin{align*}

T_{2,1} &= \frac{1}{4} (f(0) + 2f(1/2) + f(1)) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \left(\frac{1}{2}\right)^2}\right) + \frac{1}{1^2}\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{1 + \frac{1}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \left(\frac{1}{\frac{5}{4}}\right) + 1\right) \\

&= \frac{1}{4} \left(1 + 2 \cdot \frac{4}{5} + 1\right) \\

&= \frac{1}{4} \left(1 + \frac{8}{5} + 1\right) \\

&= \frac{1}{4} \left(\frac{5}{5} + \frac{8}{5} + \frac{5}{5}\right)

\end{align*}

Thus, the approximate value of the integral using Romberg's method is T_2,1, and this can also be used to obtain an approximate value of π.

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Answer:

x²

Step-by-step explanation:

x³ - 1 ÷ x + 2

the first term of the quotient is x³ ÷ x = x²

The correct answer is not listed among the options provided. The direct answer is that the perimeter of the backyard is 130 ft and the perimeter of the patio is 76 ft.

The perimeters of the backyard and patio can be calculated based on the given dimensions. The length of the backyard is 45 feet, and the width is 20 feet. The length of the patio is 18 feet. We need to find the perimeters of both the backyard and the patio.

a. Perimeter of backyard = 65 ft

Perimeter of patio = 26 ft.

To find the perimeter of a rectangle, we can use the formula:

Perimeter = 2 * (Length + Width)

For the backyard, the perimeter is:

Perimeter of backyard = 2 * (Length + Width) = 2 * (45 + 20) = 2 * 65 = 130 ft.

For the patio, the perimeter is:

Perimeter of patio = 2 * (Length + Width) = 2 * (18 + 20) = 2 * 38 = 76 ft.

The correct answer is not listed among the options. The correct perimeters for the backyard and patio should be 130 ft and 76 ft, respectively.

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There are 144 combinations of 1 entree, 2 vegetables, and 1 dessert that can be selected from 4 entrees, 6 vegetables, and 6 desserts.

To determine the number of combinations, we multiply the number of options for each category.

For the entree, we have 4 options to choose from.

For the vegetables, we need to select 2 out of 6, which can be done in 6 choose 2 ways.

This is calculated as 6! / (2!(6-2)!), which simplifies to

6! / (2!4!)

Similarly, for the dessert, we have 6 options to choose from.

To calculate 6 choose 2, we can use the formula for combinations:

n choose r = n! / (r!(n-r)!).

Plugging in the values, we have

6! / (2!4!) = (6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (4 × 3 × 2 × 1)] = 15.

Therefore, we have 4 options for the entree, 15 options for the vegetables, and 6 options for the dessert.

Multiplying these numbers together, we get 4 × 15 × 6 = 144.

Therefore, there are 144 possible combinations of 1 entree, 2 vegetables, and 1 dessert, given the options of 4 entrees, 6 vegetables, and 6 desserts.

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Answer:

$13.8

Step-by-step explanation:

20(0.45)+15(0.32)

= 13.8

Answer: The sauce will not spill over

Step-by-step explanation:

Volume of empty space in the pot:

\(\pi\)r² * h = \(\pi\) * (14/2)² * 2 = 98 \(\pi\) (in³)

Total volume of meatball that will be added:

24 meatballs; each 2 inch diameter >>> 1 inch radius

each meatball has 4/3 \(\pi\)r³ volume = 4/3 \(\pi\) in³

Total meatball volume = 24 * 4/3 \(\pi\) in³ = 32 \(\pi\) in³

there will be 66 \(\pi\) in³ left even after adding the meatballs in the pot.

The sauce will not spill over

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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Answer:

that is based on luck u could get 5 everytime or none, depends on what roll

The Taylor rule predicted the federal funds rate (in the text) was derived from the equation:  t 2 = 1% + 1.5π t + 0.5 Y ˉ t

This is a long answer because it provides a detailed explanation of the specific equation used in the Taylor rule to predict the federal funds rate.
The Taylor rule predicted the federal funds rate was derived from the following equation:
t = 1% + 1.5π + 0.5Y

Where:
- t represents the federal funds rate
- π represents the inflation rate
- Y represents the output gap (the difference between actual output and potential output)

This equation is known as the Taylor rule and is used to determine the appropriate federal funds rate to achieve macroeconomic stability.

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The new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

(a) The values of E(θ^1) and E(θ^2) are unknown without further information. Being unbiased estimators means that, on average, they provide estimates that are equal to the true population parameter θ. Therefore, we have:

E(θ^1) = θ

E(θ^2) = θ

(b) To find the expectation E(θ^3), we can use the linearity property of expectations:

E(θ^3) = E(aθ^1 + (1 - a)θ^2)

Since θ^1 and θ^2 are unbiased estimators, their expectations are equal to θ:

E(θ^3) = E(aθ^1 + (1 - a)θ^2) = aE(θ^1) + (1 - a)E(θ^2)

Using the values from part (a), we have:

E(θ^3) = aθ + (1 - a)θ = θ(a + 1 - a) = θ

Therefore, the new estimator θ^3 is also an unbiased estimator with an expectation equal to θ.

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Answer:

Area = 6x^2 + 9x - 15.

Step-by-step explanation:

Its area = height * width

= 3 *  (2x2 + 3x – 5)

=  6x^2 + 9x - 15.

Answer:

you didn't finish the question

Step-by-step explanation:

37+122=159

-159

+122

it will be the (starting amount in the account)-159+122=___

Answer:

You need to know the miles per hour they are going to find out this answer.

Answer:

There is no speed. With the information that you have given us, it could be said that the truck could be traveling at any speed, and therefore, could have gone any distance. Please provide more details.

Answer:

look at the picture I sent

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.


A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.

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The expression \(\sqrt{\sqrt{x1\⁰} }\sqrt{\sqrt{x\³ }}\) is equivalent to 10 for  \(x = 10^{(8/15)}\).

In mathematics, an expοnent (alsο called pοwer οr index) is a shοrthand nοtatiοn used tο represent the repeated multiplicatiοn οf a number by itself.

We can simplify the given expressiοn using the prοperties οf expοnents and rοοts.

First, we can simplify the expression inside the first square root as:

√√x1⁰ = \(\rm \sqrt{(x^{10})^{(1/4)} }= (x^{10})^{(1/8)} = x^{(10/8)} = x^{(5/4)}\)

Next, we can simplify the expression inside the second square root as:

\(\sqrt{(\sqrt{x\³})} = \sqrt{(x^3)^{(1/4) }}= (x^3)^{(1/8)} = x^{(3/8)\)

Therefore, the entire expression becomes:

\(\sqrt{(\sqrt{x1\⁰)}} (\sqrt{(\sqrt{x\³})} = x^{(5/4)} * x^{(3/8) }= x^{(15/8)}\)

Now, we need to find the value of x that makes this expression equal to 10.

\(x^{(15/8) }= 10\)

Taking the eighth power of both sides:

\(x^{15} = 10^8\)

Taking the 15th root of both sides:

\(x = (10^8)^{(1/15)}\)

\(x = 10^{(8/15)}\)

the equivalent expression is:

\(\sqrt{\sqrt{x1\⁰} }\sqrt{\sqrt{x\³ }}= x^{(5/4) }* x^{(3/8)} = x^{(15/8)} = (10^{(8/15)})^{(15/8)} = 10\)

Therefore, the expression \(\sqrt{\sqrt{x1\⁰} }\sqrt{\sqrt{x\³ }}\) is equivalent to 10 for \(x = 10^{(8/15)}\).

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Answer:

30 yards of fence

Step-by-step explanation:

First, convert 60 feet to yards and 30 feet to yards. Remember, 1 foot= 3 yards.

60/3= 20 yards

30/3= 10 yards

Then you add the length and the width of the fence (in yards) to find the total yards of fence.

20+ 10= 30 yards of fence

Answer: 26/21 or 1 and 5/21

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the reciprocal, so you can rewrite this problem as (4/6) x (13/7)

Next, multiply the numerators (4 and 13) and the denominators (6 and 7)

You will get 52/42, which can be simplified to 26/21 (you can also write this as 1 and 5/21)

Hope this helps

Answer:

43

Step-by-step explanation:

it looks the same as the other side

The required angle b is 43°.

It is required to find the  measure of angle b.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

The measure of angle b is 43° due to vertically opposite angle.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.

Therefore, the required angle b is 43°.

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Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

Answer:

2375

Step-by-step explanation:

i belive is 2375. did this in my mind.

Answer:

$2375

Step-by-step explanation:

800+9(175)=800+1575

                  =2375

Answer:

6 is in the tens place

Step-by-step explanation:

5 is is the hundreds place. 6 is in the tens place and 8 is in the ones place.

\(*GraceRosalia*\\*IAmAnExpertICanHelpYou*\\PleaseMarkBrainliestThankYou\)

-3/5 × -4/9

= 4/15

The answer is option a. 4/15

Answer:

(p = 2)     = -2

Step-by-step explanation:

Step-by-step explanation:

This is oddly worded I understand. They are asking for the relationship between x and y. Your equation will start with y= You will need to form your equation in a way that will tell you how to find y in relation to x at any given term. I want you to learn and grow so i will just give an example. Take y=x-2 this would mean that y equals whatever x-2 is. If x were to equal 13, y would equal 11 because 13 minus 2 is 11. I hope this helps. I didnt want to give it all away because I wanted you to feel accomplished

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

4 + 3 = 7

Answer:

x < 3

Step-by-step explanation:

-12 < -7x -5 +14

add -5 and 14: -12 < -7x + 9

minus 9 from both sides: -7x > -21

divide both sides by -7: x < 3

the sign flips when you divide