Determine the discriminant for the quadratic equation 0=-2x^2+3. Based on the discriminant value, how many real number solutions does this equation have ? Discriminant = b^2-4ac

Answer: (1, 18)

Step-by-step explanation:

Test each x, y pair.

Getting to the last one, plug in 1 for the x value.

y = 3 * (6 ^ x)

y = 3 * (6 ^ 1)

y = 3 * 6

y = 18

This matches with (1, 18) so it must lie on the graph.

The probability of Shaq making a basketball shot is approximately 0.615 or 61.5%.

The number of likely outcomes divided by the total number of outcomes determines the likelihood that an event will occur.

In this case, the event we are interested in is Shaq making a basketball shot.

The number of favorable outcomes is the number of shots that Shaq made, which is 8.

The total number of possible outcomes is the total number of shots that Shaq took, which is 13 (since he made 8 shots and missed 5).

To find the probability of Shaq making a basketball shot, we need to know the total number of shots he took and the number of shots he made.

The total number of shots Shaq took is \(8 + 5 = 13\)

(since he made 8 shots and missed 5).

Therefore, the probability of Shaq making a basketball shot is:

total rounds fired / total shots made

\(= 8 / 13\)

\(= 0.615 or 61.5%\)

So the probability of Shaq making a basketball shot is approximately 0.615 or 61.5%.

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A random sample is then drawn from each stratum using the stratified sampling approach, which divides the population into subgroups (strata) depending on certain criteria (stratum).

The university's student body serves as the population in this situation, while the eight schools serve as the subgroups (business, liberal arts, engineering, etc.).

The administrator can reach conclusions regarding the cost of textbooks for each institution by selecting a sample of 50 students from each college to make sure the sample is representative of the varied student body.

This approach is helpful when a population is divided into multiple subgroups and the researcher wants to make sure that the sample fairly reflects each segment.

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Answer:

30.85

Step-by-step explanation:

This might be the answer

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

1. The average feet of cable used during the lead time is 11,430 feet, 2. The safety stock at a 70% service level is 2,063.7 feet, 3. The reorder point for a 90% service level is 1.28, 4. The reorder point for an 8% stockout probability is 16,848 feet, 5. The answer is d. 98.78%, 6. he answer is a. Left.

1. To calculate the average feet of cable used during the lead time, we can multiply the mean of 1270 feet by the lead time of 9 days.

Therefore, the detailed calculation is 1270 feet/day * 9 days = 11,430 feet.

So, the answer is e. 11,430 feet.

2. To calculate the safety stock at a 70% service level, we need to find the z-value corresponding to that service level. Using a standard normal distribution table, we find that the z-value is approximately 0.525.

Then, we multiply the z-value by the standard deviation of 380 feet to get the safety stock:

0.525 * 380 = 199.5 feet.

Therefore, the answer is e. 2,063.7 feet (rounded to the nearest tenth).

3. To calculate the reorder point for a 90% service level, we need to find the z-value corresponding to that service level. Using the standard normal distribution table, we find that the z-value is approximately 1.28. Then, we multiply the z-value by the standard deviation of 380 feet to get the reorder point: 1.28 * 380 = 486.4 feet. Therefore, the answer is c. 1.28.

4. To calculate the reorder point for an 8% stockout probability, we need to find the z-value corresponding to that probability. Using the standard normal distribution table, we find that the z-value is approximately -1.41.

Then, we multiply the z-value by the standard deviation of 380 feet and subtract it from the mean of 1270 feet to get the reorder point: 1270 - (-1.41 * 380) = 1684.8 feet.

Therefore, the answer is c. 16,848 feet (rounded to the nearest tenth).

5. To calculate the service level when the cable inventory reaches 14,000 feet, we need to find the z-value corresponding to that inventory level.

Using the formula (Inventory level - Mean) / Standard deviation, we get (14000 - 1270) / 380

= 34.789.

Using the standard normal distribution table, we find that the corresponding service level is approximately 0.9998. Therefore, the answer is d. 98.78% (rounded to the nearest hundredth).

6. To calculate the reorder point for an 18% service level, we need to find the z-value corresponding to that service level.

Using the standard normal distribution table, we find that the z-value is approximately -0.92.

Then, we multiply the z-value by the standard deviation of 380 feet and add it to the mean of 1270 feet to get the reorder point:

1270 + (-0.92 * 380) = 899.6 feet.

Therefore, the answer is a. Left.

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Answer:

25 mL

Step-by-step explanation:

You subtract the amount of water in the cylinder with the rock, from the amount of water in the cylinder without the rock. The equation is 75mL - 50 mL

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Answer:

She will need to fill her spoon twice, once adding in the full amount, and the second adding half the amount.

3/4  ÷ 4/8

=3/4 * 2/1

=6/4

=1.5

So, that much amount would be needed o be added to the recipe during the two times

Answer:

8 = m, No solution

Step-by-step explanation:

1. -88 = -3(4m + 5) - (1 - 3m)

-88 = -12m - 15 - 1 + 3m : distributed into parentheses

-88 = -9m - 16 : combined like terms

+16           + 16 : adding to cancel out

-72 = -9m

/-9       /-9 : dividing by -9 to cancel

8 = m

2. -4(5k - 7) + 2k = -2(9k + 5)

-20k + 28 + 2k = -18k - 10 : distributed into parentheses

-18k + 28 = -18k - 10 : combined like terms

       + 10            + 10 : adding to cancel out

-18k + 38 = -18k

+18k            +18k : adding to cancel out

38 = 0k (No solution)

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer:

v <−1/2 or v >4

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

D. The other solution to function g is 9 + √2i

Step-by-step explanation:

The roots of a quadratic equation of the form ax² + bx + c = 0

are

\(x = -\dfrac{b}{2a} + \dfrac{\sqrt{b^2-4ac}}{2a}\\and\\x = -\dfrac{b}{2a} - \dfrac{\sqrt{b^2-4ac}}{2a}\\\)

If one of the roots is 9 - √2i then
\(-\dfrac{b}{2a} = 9\)

and

\(\dfrac{\sqrt{b^2-4ac}}{2a} = 2i\)

So if one root is 9 - √2i then the other root must be 9 -+ 2i

This is answer choice D

Answer:

12

Step-by-step explanation:

"6 times as many birds..." in other words 6 x 2

The number of turtles that was sold by the pet store given the number of birds sold is 12.

Multiplication is a mathematical operation that involves determining the product of two or more numbers. The sign used to represent multiplication is x.

Number of turtles were sold = 2 x 6 = 12

Answer:

The average cost this year = $33,093.75

Step-by-step explanation:

The computation of the average cost this year is shown below:

Given that

The average cost for the last year = $31,250

Increased percentage = 5.9%

Based on the above information, the average cost this year is

= The average cost for the last year × (1 + Increased percentage)

= $31,250 × (1 + 0.059)

= $31,250 × 1.059

= $33,093.75

Answer:

9

Step-by-step explanation:

6÷2(1+2)=9

:)

Solving equation 1 gives y = (-0.81 - sin(t)) / (cos(t) - 0.8). Similarly, we have x(t) = sin(t) as given in Equation 2.

To solve the given system of equations:

0.81 + y * y' = -x + 0.8y  (Equation 1)

x(t) = sin(t)                      (Equation 2)

y(0) = 1

Let's first differentiate Equation 2 with respect to t to find x'.

x'(t) = cos(t)   (Equation 3)

Now, substitute Equation 2 and Equation 3 into Equation 1:

0.81 + y * (cos(t)) = -sin(t) + 0.8y

This is a first-order linear ordinary differential equation in terms of y. To solve it, we need to separate the variables and integrate.

0.81 + sin(t) = 0.8y - y * cos(t)

Rearranging the equation:

0.81 + sin(t) + y * cos(t) = 0.8y

Next, let's solve for y by isolating it on one side of the equation:

y * cos(t) - 0.8y = -0.81 - sin(t)

Factor out y:

y * (cos(t) - 0.8) = -0.81 - sin(t)

Divide by (cos(t) - 0.8):

y = (-0.81 - sin(t)) / (cos(t) - 0.8)

This gives us the solution for y(t). Similarly, we have x(t) = sin(t) as given in Equation 2.

However, the above equations provide the solution for y(t) and x(t) based on the given initial conditions.

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Answer:

AAS., B in D

Step-by-step explanation:

Using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

Indicates a mathematical operation, akin to the superposition principle, where the action on the sum of two functions is equal to the sum of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).

So, we know that:

The ribs are for sale at $3.50 per pound.

Bobby buys 5.5 pounds of ribs.

Then, the amount bobby spends on ribs will be:

5.5 * 3.50

$19.25

Therefore, using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

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Answer: 4/5

Step-by-step explanation:

y = mx + b

m represents the slope in this line.

Answer:

4/5

Step-by-step explanation:

Equation is in slope intercept form:

\(y = mx + b\)

where m is the slope and b us the y-intercept

so, slope is 4/5

The length of the rectangle can be represented by the expression (x + 5).

Given, The width of the rectangle is (x + 3)

The area of the rectangle is x² + 8x + 15

Now we can write the formula for the area of the rectangle as A = l x w, where A is the area of the rectangle, l is the length of the rectangle, and w is the width of the rectangle.

Therefore, the expression for the length of the rectangle is:

x² + 8x + 15 = (x + 5) (x + 3)

Using the distributive property on the right-hand side of the equation we have:x² + 8x + 15 = x² + 8x + 15

So, the length of the rectangle is (x + 5).

The length of the rectangle can be represented by the expression (x + 5).

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

We round this answer to three decimal places because the question asks for the answer to be shown to 3 decimal places.

The standard error of the mean (SEM) is a measure of how much the sample mean deviates from the population mean. It tells us how much we can expect the sample mean to vary if we take repeated random samples of the same size from the same population.

The formula for SEM is:

SEM = population standard deviation / square root of sample size

In this case, we are given that the population standard deviation (σ) is 20, the sample size (n) is 75, and we need to find the value of SEM.

Substituting these values into the formula, we get:

SEM = 20 / sqrt(75)

Using a calculator, we can simplify this to:

SEM ≈ 2.306

Therefore, the standard error of the mean is approximately 2.306. We round this answer to three decimal places because the question asks for the answer to be shown to 3 decimal places.

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more information needed.

In total he walked 6.3 kilometers, from the information you gave.

Answer:

Domain: x > -4

Range: y > -1

Step-by-step explanation:

Domain is the points on the x axis that could be vaild for that line.

Range is the points on the y axis that could be valid for that line.

The number of trees saved by this process is 68trees

A rate is a ratio in which the two terms being compared have different units.For example, *

3 guest to a table. Rates often use the word per. Therefore we can say 3guest per table.

Similarly I tonne of recycled office paper save 17trees.

If 1 tonne = 2000pounds

then 2000pounds save 17trees

therefore 1 pound will save 17/2000 trees

8000 pounds will therefore save 17/2000× 8000

= 17×4= 68 trees

Therefore 8000pounds of recycled office paper will save 68 trees.

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