3.6 million pounds to tons

The domain of the function f(x) is:

11 ≥ x

Here we have the function:

\(f(x) = \sqrt{11 - x}\)

Now, remember that the argument of a square root can only be a number equal to or larger than zero, so the domain of our function is defined by:

11 - x ≥ 0

Then, solving this for x, we get:

11 ≥ x

Concluding, the domain of the function f(x) is:

11 ≥ x

If you want to learn more about domains:

https://brainly.com/question/1770447

#SPJ!

The contractor would have to work for 20 hours on the site to earn $555 total pay

What is total cost function?

Total cost function is the sum of the fixed charge, which is fixed cost to the person paying the contractor when the contractor visits the site and charge per hour multiplied by the number of hours spent working

TC=a+bX

TC=total cost=$555

a=fixed charged=$55

b=charge per hour=variable element of contractor's pay=$25

X=number of hours spent working=unknown

$555=$55+$25X

$555-$55=$25X

$500=$25*X

X=$500/$25

X=20

The contractor needs to work for 20 hours in order to earn a total pay of $555

Find out more about fixed and variable cost on:https://brainly.com/question/9212451

#SPJ4

Answer:

10

Step-by-step explanation:

If b = 2, then b*5 = 10

Answer:

she is paying back 9112.5 R.O

Interest paid back is 2,403.95

Step-by-step explanation:

To find the amount, we use the compound interest formula.

This is given as;

A = I( 1 + r/n)^nt

where A is the amount we are trying to calculate

I is money borrowed = 6709

r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233

n is the number of times interest is compounded. We have 15 2 months in 2 and a half years

t is the number of years = 2.5

Plugging these values, we have;

A = 6709(1 + 0.1233/15)^(15)(2.5)

A = 6709(1.0082)^(37.5)

A = 9112.95 R.O

Interest is amount - principal( money borrowed)

9112.95 - 6709 = 2403.95

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Josiah's trail mix consists of 9 cups of nuts for every 5 cups of raisins. To fill in the table, we can multiply both the number of cups of nuts (n) and the number of cups of raisins (r) by the same factor to maintain the ratio. By doing so, we can generate a range of possible values for n and r in the table.

To fill in the table for possible values of n (number of cups of nuts) and r (number of cups of raisins) in Josiah's trail mix, we can use the given ratio of 9 cups of nuts to every 5 cups of raisins.

Let's start with an initial value of n = 9 cups of nuts and r = 5 cups of raisins. This represents the ratio of 9:5.

To find more values, we can use proportional reasoning by multiplying both n and r by the same factor. This ensures that the ratio between n and r remains constant.

For example, if we multiply both n and r by 2, we get:

n = 9 * 2 = 18 cups of nuts

r = 5 * 2 = 10 cups of raisins

Similarly, if we multiply both n and r by 3, we get:

n = 9 * 3 = 27 cups of nuts

r = 5 * 3 = 15 cups of raisins

Continuing this pattern, we can generate additional values for the table:

|  n  |  r  |

|  9  |  5  |

| 18  | 10  |

| 27  | 15  |

| 36  | 20  |

| 45  | 25  |

| 54  | 30  |

| ... | ... |

We can keep multiplying both n and r by the same factor to find more values for the table. The specific values will depend on the range or constraints provided for n and r.

For more such information on: table

https://brainly.com/question/12151322

#SPJ8

Answer:

$90- 4GB

$20- 1GB above 4GB

so 20x6=120

and the 90

next just add 90 and 120

THE ANSWER IS 210!!!!

By combining these measures, the Republic of Texas aimed to establish a system that safeguarded the rights and freedoms of its citizens, providing a foundation for civil, political, and religious freedom within its borders.

The Republic of Texas ensured civil, political, and religious freedom for its citizens through a combination of measures, including:

A. The writers of the Texas constitution adopted a Declaration of Rights, which explicitly outlined the fundamental rights and liberties of the citizens. This declaration provided a framework for safeguarding individual freedoms and protections.

B. The writers of the Texas constitution incorporated the principle of separation of powers in government. This division of powers among the executive, legislative, and judicial branches ensured a system of checks and balances, preventing any one branch from acquiring excessive authority and protecting the rights of the citizens.

C. The Texas delegates voided the Mexican Constitution of 1824, asserting their independence and autonomy from Mexican governance. This allowed the Republic of Texas to establish its own constitution and laws, providing the opportunity to shape a system that respected civil, political, and religious liberties.

D. The Texas delegates recognized the importance of periodic review and made all laws subject to such review. This ensured that the laws remained relevant and aligned with the changing needs and values of the citizens, allowing for adjustments and amendments to better protect civil, political, and religious freedoms.

learn more about measures here:

https://brainly.com/question/2384956

#SPJ11

Answer:

YesTheorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.

A and B are complementary, and C and B are complementary.

The multiplier, calculated as the reciprocal of the marginal propensity to save or one minus the marginal propensity to consume, is 2 when the marginal propensity to consume is 0.5. This means that a change in autonomous spending will have twice the impact on the overall level of economic activity. The correct answer is c.

The multiplier represents the effect of a change in autonomous spending on the overall level of economic activity.

It is calculated as the reciprocal of the marginal propensity to save (MPS) or, alternatively, as the reciprocal of one minus the marginal propensity to consume (MPC).

In this case, the given information is that the marginal propensity to consume (MPC) is 0.5. Therefore, the marginal propensity to save (MPS) would be 1 - 0.5 = 0.5.

The multiplier is calculated as 1 / MPS or 1 / (1 - MPC). Plugging in the values, we have:

Multiplier = 1 / 0.5 = 2

Therefore, the correct answer is c. 2. The multiplier of 2 means that a change in autonomous spending will have twice the impact on the overall level of economic activity.

For example, if there is an increase in autonomous spending of $100, it will lead to a $200 increase in overall economic output.

Hence, the correct option is c.2.

To know more about marginal propensity refer here:

https://brainly.com/question/19089833#

#SPJ11

Answer:

Step-by-step explanation:

1. f(x) = 5x² + 3x - 1

a. f(0) = 5·0² + 3·0 - 1 = -1

b. f(-1) = 5(-1)² + 3(-1) - 1 = 1

Do the same for f(2), f(√2), f(a+2), and f(a).

Then do the same thing for the next function.

2. f(x) = x/(1-x)

a. f(0) = 0/(1-0) = 0

Do the same for f(-1), f(2), f(√2), f(a+2), and f(a).

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and ∠ 7 are alternate angles and are congruent, thus

4x - 15 = x + 30 ( subtract x from both sides )

3x - 15 = 30 ( add 15 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Thus

∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°

The minimum sample size required to construct an 85% confidence interval with an error of no more than 0.07, given a mean of 5.4 energy drinks per week and a standard deviation of 0.7, is 58.

To determine the minimum sample size required to construct a 85% confidence interval with an error of no more than 0.07, we can use the formula:

n = (Z * σ / E)^2

where:
n = sample size
Z = Z-score for the desired confidence level (85% confidence level corresponds to a Z-score of approximately 1.44)
σ = standard deviation
E = margin of error

Given that the mean is 5.4 energy drinks per week and the standard deviation is 0.7, we can plug in the values:

n = (1.44 * 0.7 / 0.07)^2

Simplifying the equation:

n = (2.016 / 0.07)^2

n = 57.54

Therefore, the minimum sample size required to construct the specified confidence interval is 58.

DEATAIL ANS: The minimum sample size required to construct an 85% confidence interval with an error of no more than 0.07, given a mean of 5.4 energy drinks per week and a standard deviation of 0.7, is 58.

Learn more about confidence interval

brainly.com/question/32546207

#SPJ11

The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

According to the statement

we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.

And we have to find that the yield to maturity on this bond.

So, For this purpose,

The amount given is $911. 10.

Years to maturity = n = 10

Coupon rate = C = 8.25%

Semiannual coupon = $1,000 × (0.0825/2) = $41.25

Yield to maturity = i

Present value of bond = PB = $911.10

Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.

Try YTM = 9.4%:

= $522.90 + 391.54 ≅ $914.43

The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).

So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

Learn more about percentage here

https://brainly.com/question/11360390

#SPJ4

Addition 3+ 12, an incomplete mathematical sentence. 1.3+ 12=13.3

Addition is a mathematical procedure that is used to add numbers. The sum of the given numbers is the result of adding the given numbers. For instance, if we add 2 and 3, (2 + 3), the result is 5. We used the addition function on two numbers, 2 and 3, to produce the sum, 5

Symbol for Addition

Different symbols are used in mathematics. One of the most used arithmetic symbols is the addition symbol. We read about adding two numbers, 2 and 3, in the definition of addition above. If we look at the addition pattern (2 + 3 = 5), the symbol (+) joins and completes the two integers.

To  learn more about Addition  from the given link:

https://brainly.com/question/14092461

#SPJ9

Answer

THank you

Step-by-step explanation:

Answer:

gracias amigo

Step-by-step explanation:

ten un buen fin de semana se te aprecia se te aprecia

The degree, k, of each vertex in the graph g is 8.

Let's assume that every vertex in g has degree k. Since g is an undirected graph, each edge contributes to the degree of two vertices. Therefore, the sum of degrees of all vertices in g is equal to twice the number of edges in g.

Given that g has exactly 12 edges, the sum of degrees of all vertices is 2 * 12 = 24. Since g has only 3 vertices, the sum of their degrees must be 24.

If we assume that every vertex has degree k, then the sum of the degrees of the 3 vertices is 3k. Therefore, we can set up the equation 3k = 24.

Solving this equation, we find that k = 24 / 3 = 8. So, each vertex in g has a degree of 8.

To know more about degree in graph theory, refer here:

https://brainly.com/question/32721410#

#SPJ11

Answer:Sixth grade

Step-by-step explanation:

Given

There are \(840\) sixth grade students out of which \(700\) Participated in math olympiad

also no of fifth grade students\(=910\)

Fifth graders who participated in math olympiad \(=745\)

Since \(745>740\)

There are more fifth graders in Olympiad [Numerically]

Percentage wise

Percenteage of sixth graders who participated in Math olympiad\(=\dfrac{700}{840}\times 100=83.33\ \%\)

Percenteage of Fifth graders who participated in Math olympiad\(=\dfrac{745}{910}\times 100=81.86\ \%\)

So, a greater Population of Sixth graders participated in math olympiad compared to Fifth graders as \(83.33\ \%>81.86\ \%\)

Answer:

brainliest please

Step-by-step explanation:

6 dogs because 1/2 cup per dog 6 divided by 3 = 1/2 or 2

so2 dogs per cup

So, Mr. Singer will need approximately 29.4 square feet area of cloth to cover his dining table with the rectangular pieces added along each side.

To find the total area of the cloth, we need to find the area of the regular hexagon and the six rectangular pieces added along each side.

The formula for the area of a regular hexagon with side length s is:

A_hex = 3√3/2 * s^2

Substituting s = 2 feet (given in the diagram), we get:

A_hex = 3√3/2 * (2 feet)^2 = 6√3 square feet

The rectangular pieces along each side will have a width of 2 feet (same as the side length of the hexagon) and a length of 1.5 feet (given in the diagram). So, the area of each rectangular piece is:

A_rect = length * width = 1.5 feet * 2 feet = 3 square feet

Since there are six rectangular pieces, the total area of the rectangular pieces is:

A_total_rect = 6 * A_rect = 6 * 3 square feet = 18 square feet

Therefore, the total area of the cloth Mr. Singer will need is:

A_total = A_hex + A_total_rect = 6√3 square feet + 18 square feet ≈ 29.4 square feet

To know more about area,

https://brainly.com/question/13194650

#SPJ11

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

To know more about the difference quotient, visit:

brainly.com/question/6200731

#SPJ11

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Answer:

x is more than or equal to 77

Step-by-step explanation:

The area of the triangle according to the information given in the  question is 17/8.

A triangle is a three-sided polygon that is also known as the trigon.

Angles in a triangle are formed by connecting the three sides end to end at a point.

Consider the following right-angled triangle, with vertices (0,-4), (0.0), and (1,0).

Its legs are 4 and 1 meters long, and its hypotenuse is 42+12=17 meters long.

The height "h" (altitude) of this triangle drawn to the hypotenuse is easily determined.

Based on the area, we get the equation (41)/2=(1/2)17h h=4/17 h=0.970143.

As we can see, it is not a single unit.

It means that the triangle's legs should be 17/4 as long as the original triangle's legs (1 unit and 4 units).

As a result, the area of the seeking triangle is (1/2)(17/4)(417/4) = (1/2)(17/4) =17/8

As a result, the area of the triangle in the question is 17/8.

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ4

Answer:

32

Step-by-step explanation:

add the absolute value of -14 and 18

Answer:

C

Step-by-step explanation:

All the other ones aren't increasing with the same proportion

Only C is increasing by same number each time (which is 26)

Answer:

Let's do an example first and then summerize what are the techniques to complete the square for quadratic equation in order to solve for x. -2x^2 + 5x + 12 = 0 -2x^2 + 5x =  -12 -2 (x^2 - 5/2 x) = -12 so 2ab = 5/2 x  ("2ab" refers to the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 ) Since a=1 (because x^2 is the a^2 in the formula), we get 2*1*b = 2b = 5/2 x, so b = 5/4 That means to complete the square we will add "b^2" (which is (5/4)^2 here) and then subtract (5/4)^2 in the parenthesis: -2 [ x^2 - 5/2 x + (5/4)^2 - (5/4)^2 ] =  -12 Now that is same as  -2 (x - 5/4 )^2 + (-2) * (-5/4)^2 = -12 To simplify it we follow these steps: -2 (x - 5/4 )^2 + 2 * 25/16  = -12 -2 (x - 5/4 )^2 + 25/8  = -12 Multiply both sides of the equation by 8 we get this: -16 (x-5/4)^2 +25 = -96 then -16 (x-5/4)^2  = -121   Techniques summerization: To complete the square for quadratic equation in order to solve for x, first we need to move the terms without x (which is "c" in the "ax^2+bx+c=0" form) to the right side of the equation. Then we divide both sides of the equation by "a" in the "ax^2+bx+c=0" equation. Through the formula (a+b)^2 = a^2 + 2ab + b^2  or (a+b)^2 = a^2 - 2ab + b^2 we will then figure out the value of "b", so then we know what is the b^2 we need to add then subtract. Finally just simplify the equation. Hope this helps.

Step-by-step explanation:

It is false that " finding a random sample with a mean this low in a population with mean 7 and standard deviation 2 is very unlikely".

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation. It reveals the average deviation of each score from the mean. The standard deviation gauges how widely the data deviates from the mean. When comparing data sets that may have the same mean but a different range, it is helpful. The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, however, is obviously more dispersed.

To know more about standard deviation,

https://brainly.com/question/12402189?referrer=searchResults

#SPJ4