If using the method of completing the square to solve the quadratic equation x^2+4x+3=0x

2

+4x+3=0, which number would have to be added to "complete the square"?

Answer:

i think its 2 but i am not sure

Answer:

8.. answer 31/8 = 3 7/8

9 ... answer : 189/15 = 12 9/12

10 answer : 43/12 = 3 7/12

Hope this will helpful for you and plz mark me as brainlist plzzzz

Answer:

7 17/99

Step-by-step explanation:

If a group consists of 10 kids and 2 adults, the number of ways are there to form the line are 2 * 10!. So, correct option is C.

To form a line with an adult at the front and an adult at the back, we need to consider the positions of the 10 kids within the line. The two adults are fixed at the front and back, so we have 10 positions available for the kids.

To calculate the number of ways to arrange the kids in these positions, we can use the concept of permutations. Since each position can be occupied by a different kid, we have 10 options for the first position, 9 options for the second position, 8 options for the third position, and so on, until the last position, where only 1 kid remains.

Therefore, the number of ways to form the line is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!

However, the problem also mentions that there are 2 adults, so we need to consider the arrangements of the adults as well. Since there are only two adults, there are 2 ways to arrange them in the line (adult at the front and adult at the back or vice versa).

Therefore, the total number of ways to form the line is:

2 x 10! = 2 * 10!

Hence, the correct option is b. 2 * 10!, which accounts for both the arrangements of the kids and the adults.

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Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

\( \sqrt{15^{2} + 2^{2} } \)

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

\( \sqrt{75.5^{2} - 10 {}^{2} } \)

Which equals 74.8 = 75 m

The problem asks to find the value of (F•G) (-9) where F(x) = x^2 - 13 and G(x) = 6 - x.

To solve this, we first find the product of function F(x) and G(x) by substituting G(x) in place of x in F(x), which gives us (F•G) (x) = (x^2 - 13) (6 - x).

Then we evaluate this expression at x = -9 to get (F•G) (-9) = (-9^2 - 13) (6 - (-9)) = 0.

We have:

(FG)(x) = F(x) · G(x)

So, (FG) (-9) = F (-9) · G (-9):

F (-9) = (-9) ^2 - 13 = 64

G (-9) = 6 - (-9) = 15

Therefore, (FG) (-9) = F (-9) · G (-9) = 64 · 15 = 960.

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Answer:

slope = - \(\frac{3}{2}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = \(\frac{-2-4}{2-(-2)}\) = \(\frac{-6}{2+2}\) = \(\frac{-6}{4}\) = - \(\frac{3}{2}\)

The fish population will be the same as on January 1, 2002 on January 1, 2017 and all the fish in the lake will have died by 2019

The function is given as:

F(t) = 1000(30 + 15t - t^2)

Start by calculating F(0) --- population in 2002

So, we have:

F(0) = 1000(30 + 15(0) - 0^2)

F(0) = 30000

Substitute 30000 for F(t) in F(t) = 1000(30 + 15t - t^2)

1000(30 + 15t - t^2) = 30000

Divide by 1000

30 + 15t - t^2 = 30

Simplify

t^2 - 15t = 0

Divide through by t

t - 15 = 0

Solve

t = 15

This means that

Year = 2002 + 15

Year = 2017

Hence, the fish population will be the same as on January 1, 2002 on January 1, 2017

This means  that F(t)= 0

So, we have:

1000(30 + 15t - t^2) = 0

Divide by 1000

30 + 15t - t^2 = 0

Rewrite as

t^2 - 15t - 30 = 0

Using a graphing calculator, we have

t = 17 (approximated)

This means that

Year = 2002 + 17

Year = 2019

Hence, all the fish in the lake will have died by 2019

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Thus, the magnitude of value of |a+b| is Sqrt (9), which simplifies to just 3.

To find the magnitude of the sum of two vectors, we need to add the two vectors together and then take the square root of the sum of their squares.

So, let's first add the two vectors together:

a+b = (3i+4j-4k) + (-2i-6j+2k)
    = i - 2j - 2k

Now, we can find the magnitude of this vector by squaring each of its components, summing them, and then taking the square root:

|a+b| = sqrt((1^2) + (-2^2) + (-2^2))
     = sqrt(1 + 4 + 4)
     = sqrt(9)
     = 3

Therefore, the value of |a+b| is Sqrt (9), which simplifies to just 3.

In summary, the magnitude of the sum of two vectors can be found by adding the vectors together, squaring each of their components, summing them, and then taking the square root.

For the given vectors a=3i+4j-4k and b=-2i-6j+2k, their sum is i - 2j - 2k, and the magnitude of this vector is 3.

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Answer:

X = 1

Step-by-step explanation:

5x - (x + 1) = 5 - 2x   - distribute parenthesis

5x - x - 1 = 5 - 2x   - combine like terms

4x - 1 = 5 - 2x   - add 2x

6x - 1 = 5   - add 1

6x = 6   - divide by 6

x = 1

Hope this helps. Pls give brainliest.

The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

\($b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}\)

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

(s⁻⁵)³

We can write the expression as -

(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵

Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

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The number of sides in a polygon is 9.

Given, a regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius and each of the central angles has a measure of 40°.We know that the sum of all the central angles of a polygon is 360°, so we can find the number of sides of a polygon as follows:Let the number of sides of a polygon be n.Measure of each central angle = 40°Sum of all the central angles = n × 40° = 360°So, n × 40° = 360°n = 360°/40°n = 9So, the polygon has 9 sides (nonagon).

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The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False

With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.

The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.

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4x4=16 16x3=48 so I think the answer is 48

Answer:

I'm pretty sure that the answer is 11 and 12

Step-by-step explanation:

11 and 12 both equal to 180 which makes them supplementary angles

Answer:

I also agree that it is 11 and 12

Step-by-step explanation:

To find f(x), we need to integrate f''(x) twice, taking into account the given initial conditions.

f(x) = (2/3)x^3 - 4cos(x) + 7x + 9

1. First, we find f'(x) by integrating f''(x):

f''(x) = 4x + 4cos(x)

∫(4x + 4cos(x)) dx = 2x^2 + 4sin(x) + C₁

Now, we use the initial condition f'(0) = 7:

2(0)^2 + 4sin(0) + C₁ = 7

C₁ = 7

So, f'(x) = 2x^2 + 4sin(x) + 7

2. Next, we find f(x) by integrating f'(x):

f'(x) = 2x^2 + 4sin(x) + 7

∫(2x^2 + 4sin(x) + 7) dx = (2/3)x^3 - 4cos(x) + 7x + C₂

Now, we use the initial condition f(0) = 5:

(2/3)(0)^3 - 4cos(0) + 7(0) + C₂ = 5

C₂ = 5 + 4 = 9

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.

One control measurement exceeding 2 standard deviations of control limits either above or below the mean is accepted as being an appropriate control limit range on a control chart utilizing the westgard rules.

Westgard Rules are multirule QC rules to help analyze whether or not an analytical run is in-control or out-of-control. It uses a combination of decision criteria, usually 5 different control rules to judge the acceptability of an analytical run.

Westgard Rules are generally used with 2 or 4 control measurements per run, which means they are appropriate when two different control materials are measured 1 or 2 times per material, which is the case in many chemistries application.

For hematology, coagulations, and immunoassays applications some alternate control rules are more suitable when three control materials are analyzed.

To perform multirule QC collect your control measurements in the same way as you would for a regular Levey-Jennings control chart; establish means and standard deviations for the control materials; then create a Levey-Jennings chart with the mean +3, +2, and +1 standard deviations.  The only difference is the interpretation of the data.

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Answer:

The answer would be C)5

Step-by-step explanation:

The unknown triangle is half of the size of the original triangle, The right side measurement basically hints to the actual answer.

Differentiating x(t) with respect to p, we have dx/dp = (5000/√(6p + 1)). Differentiating p(t) with respect to t, we have dp/dt = 2.

The given equation is x = 10000√(6p + 1), where x represents the number of items sold and p represents the price at which they are sold. The company has been increasing the price by $2 per month. We need to find the rate at which revenue is changing when the company is selling widgets at $150 each.

To find the rate of change of revenue, we need to determine the derivative of the revenue function with respect to time. Revenue is calculated by multiplying the number of items sold (x) by the selling price (p). However, since we are given the price (p) and not the time (t), we need to express p as a function of time.

Assuming t represents the number of months, we have p(t) = 150 + 2t. Substituting this into the original equation, we get x(t) = 10000√(6(150 + 2t) + 1). To find the derivative of x with respect to t, we can use the chain rule:

dx/dt = dx/dp * dp/dt.

Differentiating x(t) with respect to p, we have dx/dp = (5000/√(6p + 1)). Differentiating p(t) with respect to t, we have dp/dt = 2. Now, we can substitute these values and evaluate dx/dt at the point when p = 150 to find the rate at which revenue is changing.

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Answer: $430.80

Step-by-step explanation: Since the sum total of overtime pay is known to be $48.47, you therefore minus 48.47 from 479.27 to get the final total of $430.80.

Uma is correct, because getting an even number is an event.

The term probability refers to the likelihood of an event occurring.

Given that;

Bridget says that when a standard number cube is rolled getting an even number is an outcome.

And, Uma says that getting an even number is an event.

Now,

We know that;

When a standard number cube is rolled then getting an even number is an event.

Hence, Uma statement is correct.

Thus, Uma is correct, because getting an even number is an event.

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Answer:

D. 3x.

Step-by-step explanation:

Let's do a little bit of simplifying.

First, distribute that minus sign outside of the parentheses.

x - 3x + 5x

Then simplify further.

-2x + 5x

More.

3x

Answer:

The key fact about the enlargement, scale factor > 1

The key fact about the reduction, 0 < scale factor < 1

Step-by-step explanation:

Let us explain what is the dilation?

Enlargement means the image of a figure after dilation is larger than the original figure

Reduction means the image of a figure after dilation is smaller than the original figure

The key fact about the enlargement is that the scale factor of dilation must be greater than 1 ⇒ scale factor > 1

The key fact about the reduction is that the scale factor of dilation must be between 0 and 1 ⇒ 0 < scale factor < 1

Answer:

An enlargement has a scale factor greater than 1 and the image has a longer distance from the point of dilation than the pre-image. A reduction has a scale factor between 0 and 1, and shrinks on the coordinate plane.

Step-by-step explanation:

This is the sample respond on Edg. I just took the assignment and it was right.

Answer:

5.32

Step-by-step explanation:

It took me a while to figure this out myself, here is how I found the answer:

The question gives sample number(80) and the standard error(0.595).

To get the standard error number they use this equation:

\(\frac{standard-deviation}{\sqrt{sample-population} }\)

So to find the standard deviation, take \(\sqrt{sample-population}\) and times it by the standard error to get the answer.

\(\sqrt{80}\) x 0.595 = 5.321841786449499

And then round to the nearest hundredth: 5.32

Answer:

- 5.32

(got it right on edmentum)

Step-by-step explanation:

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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