Multiply. Write your answer as a decimal. −0.25(−1) = need ASAP

One of the zeros of the given quadratic function is x=-5.5.

The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving a quadratic function you should find the discriminant: \(D=b^2-4ac\)  . And after that you should apply the discriminant in the formula: \(x=\frac{-b\pm \sqrt{D} }{2a}\)

In this equation:

a=4

b=24

c=11

\(D=b^2-4ac=24^2-4\cdot \:4\cdot \:11}=576-176=400\)

\(x_{1,\:2}=\frac{-b\pm \sqrt{D} }{2a}\\ \\ x_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\cdot \:4\cdot \:11}}{2\cdot \:4}\\ \\ x_{1,\:2}=\frac{-24\pm \sqrt{400}}{8}\\ \\ x_{1,\:2}=\frac{-24\pm 20}{8}\)

Then,

\(x_1=\frac{-24+20}{2\cdot \:4}\\ \\ x_1=\frac{-4}{8}=\frac{-1}{2}=-0.5\)

and

\(x_2=\frac{-24-20}{2\cdot \:4}\\ \\ x_1=\frac{-44}{8}=\frac{-11}{2}=-5.5\)

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Answer:

Step-by-step explanation:

Let's break down the problem:

Quotient =  result obtained by dividing one quantity by another

So its division of x (a number implying variable) by 6

Then it says equal to 2 so we can piece together an equation like this

x/6 = 2

Then we use algebra to solve it

6(x/6)= (2)6

x = 12

So 12 is the unknown number

Answer:

not really

Step-by-step explanation:

Answer:

Bars !!!!!!

Step-by-step explanation:

Answer:

x=3.5 glizzies with a but of ketchup and mustard which would round that up to about 6$ a glizzy

Answer:

\(W=59.7408J\)

Step-by-step explanation:

From the question we are told that:

Force \(f=4N\)

Force Direction \(\arrow (4,-2)\)

Distance traveled \(d_t=7ft \aprrox\ 2.1336m\)

Distance traveled Direction point (0,4) to point (5,-1)

Generally the equation for work done is mathematically given by

 \(W=force*distance\)

 \(W=f*d_t\\W=4*7*2.1336\)

 \(W=59.7408J\)

Given the inequality:

To find x, follow the steps below.

Step 01: Isolate the absolute value.

To do it, first, subtract 2 from both sides of the inequality.

Now, multiply the equation by -1:

If |3x - 5| < 9, then 3x - 5 < 9 or -(3x - 5) < 9.

Step 02: Find the interval in which 3x - 5 < 9.

Isolate x by adding 5 to both sides. In sequence, divide the sides by 3:

Step 03: Find the interval in which -(3x - 5) < 9.

To isolate x, first, subtract 5 from both sides. Second, divide the sides by 3. Finally, multiply the inequality by -1.

Step 04: Graph the interval.

Since x < 14/3 and x > -4/3:

Graphing the answer:

Step 05: Write your answer in interval notation.

Step 06: Double-check the solution.

To double-check the solution, choose one point inside the interval and observe if the answer fits the equation. You can also choose a point outside the interval.

Let's choose x = 0 (inside the interval) and x = 5 (outside the interval).

Substituting x by 0.

True.

Substituting x by 5.

False, since -8 is not greater than -7. It is expected since 5 is not an answer for this inequality.

Answer:

Answer:

2

Step-by-step explanation:

f(-1)=(-1)²+1=1+1=2

If the production is limited to at most 1800 hammers, then the maximum revenue that can be generated is $50,400.

The given problem is about finding the maximum revenue for a hammer manufacturing company based on a given total revenue function. The total revenue function for a hammer is given as R = 56x − 0.01x^2, where x is the number of hammers sold. To find the maximum revenue, we need to differentiate the total revenue function with respect to x and equate it to zero.

dR/dx = 56 - 0.02x = 0

Solving the above equation for x, we get x = 2800.

Therefore, the sale of 2800 hammers will maximize the total revenue in dollars.

To find the maximum revenue, we need to substitute the value of x in the total revenue function.

\(R = 56(2800) -0.01(2800)^2\)

R = $78,400

Therefore, the maximum revenue that can be generated by selling 2800 hammers is $78,400.

Now, let's consider the second part of the question. If the production is limited to at most 1800 hammers, then the maximum revenue can be found by substituting x = 1800 in the total revenue function.

\(R = 56(2800) -0.01(1800)^2\)

R = $50,400

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The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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The height of the tree after 12 years is 21.401 feet.

In this problem we find the case of a tree that grows exponentially, the height of the tree is defined by the following formula:

h = a · (1 + r / 100)ⁿ

Where:

If we know that a = 4 ft, r = 15 and n = 12, then the final height of the tree is:

h = 4 · (1 + 15 / 100)¹²

h = 21.401

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To find the 15th term of an arithmetic sequence, we need to determine the common difference (d) and then use the formula for the nth term of an arithmetic sequence.

Given that a₃ = -5 and a₆ = -11, we can find the common difference (d) by subtracting a₃ from a₆:

d = a₆ - a₃

d = -11 - (-5)

d = -11 + 5

d = -6

Now that we know the common difference (d = -6), we can find the 15th term (a₁₅) using the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

In this case, the first term (a₁) is not given, so we cannot determine the exact value of the 15th term. The information provided is insufficient to find the 15th term without knowing the first term of the arithmetic sequence.

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The 15th term of the arithmetic sequence is -89.

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. To find the 15th term of the sequence, we first need to find the common difference.

Therefore, the 15th term of the arithmetic sequence is -89.

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Answer:

26.7

Step-by-step explanation:

This is the answer because 26.7/20 = (16+26.7)/32

When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.

To solve, you create a formula.

(16+x)/32=x/20

Multiply both sides by 32 to get rid of the 32 in the left side.

16+x=32x/20

Multiply both sides by 20 to get rid of the 20 right side.

320+20x=32x

-20x on both sides to get all the variables on one side and all the nukbers on the other.

320=12x

Divide both sides by 12 to get x by itself

x=26.66667

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

The answer would be -32.

Answer:

-32

Step-by-step explanation:

-24 - 8 = -32

Answer:

See below

Step-by-step explanation:

Lines given

1. ......................................

2. ......................................

3. ......................................

4. ......................................

5. ......................................

Answer:

The slope of the line modeled by 3x − 2y = 6 is 3/2 ------ True

The slope of the line modeled by 4y = x is 4 ---------- False

The slope of the line modeled by y = 7 is undefined -------- False

The slope of the line modeled by equation x = 8 is undefined ------- True

The slope of the line modeled by −2x − 5y = 4 is −2/5 , and the y-intercept is −4/5  --------- True

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I counted :)

Answer:

b

Step-by-step explanation:

The respective prior probabilities for the Cool and Clever groups are 7/11 and 4/11.

The prior probabilities for the Cool and Clever groups can be calculated by dividing the number of podcasts each group has made by the total number of podcasts. In this case, Cool has made 7 podcasts and Clever has made 4 podcasts. The respective prior probabilities are 7/11 for Cool and 4/11 for Clever.

ii. Given that the podcast intro is done by a girl, we need to update the probabilities of listening to the Cool and Clever groups using Bayes' theorem. Cool consists of 4 boys and 2 girls, while Clever has 2 boys and 4 girls. The updated probabilities can be calculated based on the new information.

iii. Group Cool toasts to statistics within the first 5 minutes on 70% of their podcasts, while Group Clever doesn't toast. To calculate the probability of Group Cool toasting within the first 5 minutes of the current podcast, we use the given probability of 70%.

Therefore, the probability that Group Cool will be toasting statistics within the first 5 minutes of the podcast you are currently listening to is 70%.

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Answer:

i hop this halp

Step-by-step explanation:

less than 10 units.

The price of carrots per ounce is $0.24 .

Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.

The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.

Now it is given that a 2-pound bag of carrots cost $7.68 .

Therefore price per pound of carrots=$7.68÷2

Price per pound=$ 3.84 .

Now we know that 16 ounces make up a pound.

Price of carrots per ounce=  $3.84 ÷16

Price per ounce=  $ 0.24

Therefore the price of carrots per ounce is $0.24

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The assertion of presentation confirms that the components of the financial statements are shown appropriately.

The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.

The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.

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Answer: x = 5/2 or x = -1

Step-by-step explanation:

2x² - 3x - 5 = 0

↓ You split the middle term into 2 terms

2x² - 5x + 2x - 5 = 0

↓ Then factor the first 2 terms and last two terms separately

x(2x - 5) + (2x - 5) = 0

↓ And you factor it out

(2x - 5)(x + 1) = 0

↓ Then you have to apply the zero product property

2x - 5 = 0 or x + 1 = 0

↓ Rearrange variables to the left side of the equation

2x = 5

↓ Then divide both sides of the equation by the coefficient of variable

x = 5/2

or -------------------------------------------------------------

x + 1 = 0

↓ Rearrange variables to the left side of the equation

x = -1

The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:

Calculate the seasonal factor for each day by multiplying the seasonal index by the level.

Monday: 1.10 × 20 = 22

Tuesday: 0.95 × 20 = 19

Wednesday: 0.90 × 20 = 18

Thursday: 0.80 × 20 = 16

Friday: 1.25 × 20 = 25

Update the level and trend using the following formulas:

New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)

New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend

For Tuesday:

New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636

New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364

Forecast the number of customers served on each subsequent day using the formula:

Forecast = (New Level + Forecasted Trend) × Seasonal Factor

Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909

Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273

Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455

Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091

Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.

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Answer:

digital genious manufacture a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are no solutions to the equation f(x) = g(2).

Given:

f(x) = -0.05x³ - 0.3x² + x - 1

g(2) = |1.1x| + 5.6

To find the solutions to the equation f(x) = g(2), we substitute x = 2 into both functions and equate them:

f(2) = g(2)

Substituting x = 2 into f(x):

f(2) = -0.05(2)³ - 0.3(2)² + 2 - 1

f(2) = -0.05(8) - 0.3(4) + 2 - 1

f(2) = -0.4 - 1.2 + 1

f(2) = -1.6

Substituting x = 2 into g(2):

g(2) = |1.1(2)| + 5.6

g(2) = |2.2| + 5.6

g(2) = 2.2 + 5.6

g(2) = 7.8

Now we can set -1.6 equal to 7.8 and solve for x:

-1.6 = 7.8

This equation has no solution.

Therefore, there are no solutions to the equation f(x) = g(2).

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a) Per unit labor cost in the United States is $1.20.

b) Per unit labor cost in China is $0.75.

c) The company should locate its production facility in China to minimize per unit labor costs as it is lower than in the United States.

a) The per unit labor cost in the United States can be calculated as follows:

Per unit labor cost = Hourly wage rate / Productivity per hour

= $24 / 20 units per hour

= $1.20 per unit of labor

b) The per unit labor cost in China can be calculated as follows:

Per unit labor cost = Hourly wage rate / Productivity per hour

= $3 / 4 units per hour

= $0.75 per unit of labor

c) If a company's goal is to minimize per unit labor costs, the production facility should be located in China because the per unit labor cost is lower than in the United States. Therefore, China's production costs would be cheaper than those in the United States.

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The operation sequence to calculate \(x^{34}\) is:\(x, x^2, x^4, x^6, x^{14}, x^{30}, x^{34}.\)

The square-and-multiply algorithm is an efficient method for exponentiation that can be used to calculate \(x^n\), where x is a base and n is an exponent.

The algorithm involves breaking the exponent down into binary form and then performing a series of squaring and multiplying operations.

Here's the operation sequence to calculate \(x^{34}\) using the square-and-multiply algorithm:

So, the operation sequence to calculate \(x^{34}\) using the square-and-multiply algorithm is:\(x, x^2, x^4, x^6, x^{14}, x^{30}, x^{34}.\)

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Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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