h + 6h

help.

plz

h e l p​

Answer:

Step-by-step explanation:

Given one zero of the quadratic polynomial kx² + 3x + k is 2,

Substitute x = 2 in the polyomial , we get

k(2)²+3×2+k = 0

=> 4k + 6 + k = 0

5k+6 = 0

5k= -6

k= -6/5

Therefore,

Value of k = -6/5

Solution

Firstly, we will find the third angles of both triangles,

The sum of angles in a triangle is 180 degrees.

If we know that two angles of one triangle are 112° and 39°

Let the third angle be x

The third angle is 29 degrees

And two angles of another triangle are 39° and 29°

Let the third angle be y

The third angle is 112 degrees

Two triangles are similar if their corresponding angles are equal.

Since, their corresponding angles are equal

Hence, then the two triangles must be similar (option d)

The probability that a randomly selected firm will earn less than 101 million dollars will be;

⇒ 0.5454

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The mean income of firms in the industry = 95 million dollars.

And, Standard deviation = 11 million dollars.

Now, The z - score probability distribution is given as;

Z = X - μ / σ

Where,  μ is the mean income of firms in the industry.

And, σ is standard deviation.

So, The probability that a randomly selected firm will earn less than 101 million dollars will be;

P (Z < 101) = P ( X - μ / σ < 101 - 95 / 11 )

P (Z < 101) = 0.5454

Therefore, The probability that a randomly selected firm will earn less than 101 million dollars will be;

⇒ 0.5454

Learn more about the z - score visit:

https://brainly.com/question/25638875

#SPJ1

Using the formula for the confidence interval and provided value for mean and the upper interval. The answer is 0.05.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

The alpha value is 0.025, and the associated critical value is 1.96 for a two-tailed 95% confidence interval. This indicates that we can subtract 1.96 standard deviations from the mean, or the mean, to determine the upper and lower boundaries of the confidence interval.

sample mean = 0.17

upper limit = 0.29

upper limit = sample mean + margin

margin = 0.29-0.17 = 0.12

lower limit = sample mean - margin

=0.17-0.12 = 0.05

To learn more about confidence interval visit:

https://brainly.com/question/24131141

#SPJ4

The value of probability P (even | less than 3) is, 1/3.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A 6-sided die is tossed.

Here, Two numbers 1 and 2 are less than 3.

Hence, The value of P (even | less than 3) is,

⇒ 2 / 6

⇒ 1 / 3

Thus, The value of P (even | less than 3) is, 1/3.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

12

Step-by-step explanation:

if their similar then find the proportion with a cross multiplication equation

x/36 = 13/39

x*39 = 36*13

39x = 468

x = 468/39

x = 12

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{JL}{PQ}\) = \(\frac{JK}{PR}\) , substitute values

\(\frac{x}{36}\) = \(\frac{15}{45}\) = \(\frac{1}{3}\) ( cross- multiply )

3x = 36 ( divide both sides by 3 )

x = 12

Answer: Let's solve the given system of linear equations using the elimination method:

Step 1: Multiply the first equation by 2 and the second equation by 3 to eliminate the y terms:

Step 2: Add the two modified equations to eliminate the y terms:

Step 3: Solve for x:

Step 4: Substitute the value of x (x = 2) into either of the original equations and solve for y. Let's use Equation 1:

So the solution to the system of linear equations is x = 2 and y = -1.

The given equations is:4x - 3y = 11 ,5x + 2y = 8.We can solve using either the substitution method or the elimination method.

The explanation below will demonstrate the steps to solve the system using the elimination method.To solve the system of linear equations, we'll use the elimination method. The goal is to eliminate one variable by adding or subtracting the equations in such a way that one variable cancels out.We'll start by multiplying the first equation by 2 and the second equation by 3 to make the coefficients of y the same:

(2)(4x - 3y) = (2)(11) --> 8x - 6y = 22 (equation 1')

(3)(5x + 2y) = (3)(8) --> 15x + 6y = 24 (equation 2')

Next, we'll add equation 1' and equation 2' to eliminate y:

(8x - 6y) + (15x + 6y) = 22 + 24

23x = 46

Dividing both sides by 23, we get x = 2.

Now that we have the value of x, we can substitute it back into one of the original equations. Let's use the first equation:

4x - 3y = 11

4(2) - 3y = 11

8 - 3y = 11

Subtracting 8 from both sides, we have -3y = 3. Dividing by -3, we find y = -1.Therefore, the solution to the given system of linear equations is x = 2 and y = -1.

To learn more about substitution method click here : brainly.com/question/30284922

#SPJ11

The answer is d. +0.5. A correlation coefficient of +0.5 provides the greatest risk reduction.

A correlation coefficient of +0.5 indicates a moderate positive correlation between two variables, meaning they are somewhat related. When two variables are moderately correlated, the risk reduction is greater than when they are not correlated at all (correlation coefficient of 0) or perfectly correlated (correlation coefficient of 1 or -1).

Learn more about correlation here

https://brainly.com/question/28175782

#SPJ11

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

To know more about Equations :

https://brainly.com/question/13865224

#SPJ11

The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".

To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:

Distribute the multiplication:

z * (z + 6) * z * (z + 6) * z + (z + 6)

becomes

z * z * z * (z + 6) * (z + 6) * z + (z + 6)

Combine like terms:

z * z * z simplifies to \(z^3\)

(z + 6) * (z + 6) simplifies to (z + 6)^2

The expression now becomes:

\(z^3 * (z + 6)^2 * z + (z + 6)\)

Multiply \(z^3\) and z:

 \(z^3 * z\) simplifies to \(z^4\)

The expression becomes:

  \(z^4 * (z + 6)^2 + (z + 6)\)

So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".

Learn more about algebraic simplification

brainly.com/question/11894863

#SPJ11

Answer:

Theater: Comedy 61% Drama 39% Home: Comedy 60% Drama 40%

Step-by-step explanation:

Theater: first add 57 and 36 to get the total amount, then do comedy/total, which is 57/93, when you divide this it equals 0.612. Multiply this by 100 and you get 61.2 %, repeat this formula for the rest: x or y/x+y x being one amount and y another amount. x+y is just the total amount. *If you don't care about how to do it look below*

Theater:

Comedy: 57/93 x 100=61%

Drama: 36/93 x 100=39%

Home:

Comedy: 78/131 x 100=60%

Drama: 53/131 x 100=40%

This totally might be late so you don't need it anymore, welp good luck anyway!

[:

Answer:

17

Step-by-step explanation:

If Rin pulls out 1 blue marble from the bag then total marbles left in the bag now= 18 − 1 = 17

Now Misaki pulls out a marble: Probability of red marble= 3/17

probability of blue marble= 4/17

Answer:17

Step-by-step explanation:

Hi there!

Your job, at least on this triangle, is pretty simple. This is a 45-45-90 triangle.

Because this is a 45-45-90 triangle, both legs are 5. That leaves us to find the hypotenuse, x.

And a 45-45-90 triangle's hypotenuse is easy. You just take the measure of one of the legs, or 5 in this case, and stick a \(\sqrt{2\\}\) right next to it. So your answer will be:

\(5\sqrt{2}\)

I hope this helps! :)

Answer:

x < -1

Step-by-step explanation:

9 -10 > x

x< -1

Answer:

x < - 1

Step-by-step explanation:

9 - x > 10 ( subtract 9 from both sides )

- x > 1

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative value.

x < - 1

To create a product containing 14 doses of 25 mg/5 mL of codeine phosphate, the working formula would involve diluting 350 mg of codeine phosphate powder in 280 mL of water.

To create a product containing 14 doses of 25 mg/5 mL of codeine phosphate, a concentrated solution needs to be prepared. The working formula for this product involves diluting the codeine phosphate powder in a specific amount of water to achieve the desired concentration.

To prepare the concentrated solution, the first step is to determine the amount of codeine phosphate powder required. Since each dose is 25 mg and there are 14 doses in total, the total amount of codeine phosphate needed is 14 doses x 25 mg/dose = 350 mg.

Next, we need to calculate the amount of water required to dilute the codeine phosphate powder. The codeine phosphate is soluble at a ratio of 1 in 4, meaning 1 part codeine phosphate will dissolve in 4 parts of water. To determine the total volume of the concentrated solution, we divide the total amount of codeine phosphate by the concentration ratio: 350 mg / (1/4) = 350 mg / 0.25 = 1400 mg.

Now that we have the total volume of the concentrated solution, we can calculate the amount of water needed. Since the concentration is given as 25 mg/5 mL, we can set up a proportion: 25 mg/5 mL = 1400 mg/X mL. Cross-multiplying, we get 25X = 1400 * 5, which simplifies to X = (1400 * 5) / 25 = 280 mL.

Learn more about volumes :

https://brainly.com/question/24086520

#SPJ11

The probability of getting a sum of 2 is 1/16, a sum of 3 is 2/16, a sum of 4 is 3/16, a sum of 5 is 4/16, a sum of 6 is 3/16, a sum of 7 is 2/16, and a sum of 8 is 1/16.

The probability distribution of Z, which represents the sum of the numbers on two balls drawn from an urn containing balls numbered 1, 2, 3, and 4, can be determined by considering all possible outcomes.

To calculate the probability distribution, we need to find the probability of each possible sum (Z) occurring. Let's break it down step by step:

Step 1: Determine the sample space.
The sample space is the set of all possible outcomes. In this case, there are four balls in the urn, so the total number of possible outcomes is 4 * 4 = 16 (since each ball can be paired with any of the other four balls).

Step 2: List all possible sums (Z).
Since there are four balls, the possible sums range from 1 + 1 = 2 to 4 + 4 = 8. Therefore, the possible sums (Z) are:
2, 3, 4, 5, 6, 7, 8

Step 3: Determine the probability of each sum (Z).
To find the probability of each sum (Z), we need to count the number of outcomes that result in each sum and divide it by the total number of possible outcomes.

- Z = 2: There is only one way to get a sum of 2, which is by drawing balls 1 and 1. Therefore, the probability of Z = 2 is 1/16.
- Z = 3: There are two ways to get a sum of 3: drawing balls 1 and 2 or balls 2 and 1. Therefore, the probability of Z = 3 is 2/16.
- Z = 4: There are three ways to get a sum of 4: drawing balls 1 and 3, balls 2 and 2, or balls 3 and 1. Therefore, the probability of Z = 4 is 3/16.
- Z = 5: There are four ways to get a sum of 5: drawing balls 1 and 4, balls 2 and 3, balls 3 and 2, or balls 4 and 1. Therefore, the probability of Z = 5 is 4/16.
- Z = 6: There are three ways to get a sum of 6: drawing balls 2 and 4, balls 3 and 3, or balls 4 and 2. Therefore, the probability of Z = 6 is 3/16.
- Z = 7: There are two ways to get a sum of 7: drawing balls 3 and 4 or balls 4 and 3. Therefore, the probability of Z = 7 is 2/16.
- Z = 8: There is only one way to get a sum of 8, which is by drawing balls 4 and 4. Therefore, the probability of Z = 8 is 1/16.

Step 4: Summarize the probability distribution.
The probability distribution of Z is:
Z = 2: 1/16
Z = 3: 2/16
Z = 4: 3/16
Z = 5: 4/16
Z = 6: 3/16
Z = 7: 2/16
Z = 8: 1/16

This means that the probability of getting a sum of 2 is 1/16, a sum of 3 is 2/16, a sum of 4 is 3/16, a sum of 5 is 4/16, a sum of 6 is 3/16, a sum of 7 is 2/16, and a sum of 8 is 1/16.

To know more about probability refer here:

https://brainly.com/question/15729871

#SPJ11

Step-by-step explanation:

b = 42

c = 138

plz mark my answer as brainlist plzzzz if you find it useful .

The value of the line integral is (1/3) (\(e^{27}\) - 1).

To evaluate the line integral, we need to parameterize the given curve C.

Since C is the arc of the curve x = \(e^{y}\), we can parameterize C as:

x = \(e^{t}\)

y = t

where t ranges from 0 to 9.

Then, we can express dx and dy in terms of dt:

dx =  \(e^{t}\)dt

dy = dt

Substituting these into the integrand, we get:

\(x e^{y} dx = (e^{t} )(e^{t} ) e^{t} dt\)=  \(e^{(3t)}\)  dt

Thus, the line integral becomes:

∫C x\(e^{y}\) dx = ∫\(0^{9}\)  \(e^{(3t)}\)  dt

Evaluating the integral, we get:

∫\(0^{9}\)  \(e^{(3t)}\)   dt = (1/3) \(e^{(3t)}\) | from 0 to 9

= (1/3) (\(e^{27}\)  - 1)

Therefore, the value of the line integral is (1/3) (\(e^{27}\) - 1).

to know more about integral

brainly.com/question/18125359

#SPJ1

Answer:

The answer is A. 6.4 and 5.6 and D. 39 and 27.

Step-by-step explanation:

A. 6.4 and 5.6 = 1.6 and 1.4

6.4 / 1.6 = 4

1.4 * 4 = 5.6

So A is correct.

D. 39 and 27 = 13 and 9

39 / 13 = 3

9 * 3 = 27

So D is correct.

Hope this helps! :)

The probability of event B, P(B), is 0.1667.

To find the probability of event B, we can use the formula for the probability of the intersection of two independent events:

P(A and B) = P(A) * P(B)

We are given that P(A and B) = 0.10 and P(A) = 0.6.

Let's substitute these values into the formula:

0.10 = 0.6 * P(B)

To solve for P(B), we divide both sides of the equation by 0.6:

0.10 / 0.6 = P(B)

Simplifying the division:

P(B) ≈ 0.1667

Therefore, the probability of event B, P(B), is approximately 0.1667.

know more about probability here:

https://brainly.com/question/13604758

#SPJ8

Answer: A. Translate 10 units to the right and 8 units up.

Step-by-step explanation:

The cost of the single apple is 0.97 and the cost of single mango is 1.04 when Lucy spends $9. 15 on 3 apples and 6 mangoes. Amir spends $11.92 on 4 mangoes and 8 apples.

Given that,

Lucy spends $9. 15 on 3 apples and 6 mangoes. Amir spends $11.92 on 4 mangoes and 8 apples.

We have to find how much does one apple cost.

We have,

Let the cost of apples be x

Let the cost of mangoes be y

We get equation as,

3x + 6y= 9.15 ----> equation(1)

8x + 4y= 11.92 ----> equation(2)

Multiply 8 to equation(1)

8(3x + 6y= 9.15 )

24x + 48y = 73.2

Multiply 3 to equation(1)

3(8x + 4y= 11.92)

24x + 12y = 35.76
Now subtract multiplied equation(1) and (2)

24x + 48y = 73.2

24x + 12y = 35.76

36y = 37.44

y = 37.44/36

y= 1.04

Substitute 1.04 for y in equation 1

3x + 6y = 9.15

3x +6(1.04)= 9.15

3x + 6.24= 9.15

3x = 9.15-6.24

3x = 2.91

x = 2.91/3

x = 0.97

Therefore, The cost of the single apple is 0.97 and the cost of single mango is 1.04 when Lucy spends $9. 15 on 3 apples and 6 mangoes. Amir spends $11.92 on 4 mangoes and 8 apples.

To learn more about cost visit: https://brainly.com/question/17244683

#SPJ4

No Solution.

Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution

Consider the pair of linear equations in two variables x and y.

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.

2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables

3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.

Learn more about no solution equation at https://brainly.com/question/14603452.

#SPJ4

The function has no minimum or maximum

The function is given as

f(x) = -2/3x + 5 if x < 0

f(x) = -x^2 + 4x + 5 if x > 4

The above function is a piecewise function

And the type of functions in the piecewise function are

A linear function does not have a minimum or a maximum

This means that the function would have no minimum or maximum

Hence, the minimum or the maximum value of the function does not exist

Read more about piecewise functions at

https://brainly.com/question/3628123

#SPJ1

10 1 2 {=}} 0 2 {}} -8 -5 -8 is not a linearly independent set.

Let us first arrange the given vectors horizontally:\($$\begin{bmatrix}10 & 1 & 2 & 0 & 2 & -8 & -5 & -8\end{bmatrix}$$\)

Now let us row reduce the matrix:\($$\begin{bmatrix}10 & 1 & 2 & 0 & 2 & -8 & -5 & -8 \\ 0 & -9/5 & -6/5 & 0 & -6/5 & 12/5 & 7/5 & 4/5 \\ 0 & 0 & 2/3 & 0 & 2/3 & -4/3 & -1/3 & -1/3 \\ 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\end{bmatrix}$$\)

Since there are no pivots in the last row of the row-reduced matrix, we can conclude that the set of vectors is linearly dependent.

This is because the corresponding homogeneous system, whose coefficient matrix is the above row-reduced matrix, has infinitely many solutions.

Hence, 10 1 2 {=}} 0 2 {}} -8 -5 -8 is not a linearly independent set.

To know more about linear independent set, visit:

https://brainly.com/question/12902801

#SPJ11

Answer:

y=4x-8 hope this helps:)

Step-by-step explanation:

Hey there!!

You can find the equation of a st.line passing through points using one point formula if only one point is given and slope is given , else find it by using two point formula (if 2 points are given).

Here, the points are, (4,8) and (-1,-12).

Using two point formula,

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

Keep all values,

\((y - 8) = \frac{ - 12 - 8}{ - 1 - 4} (x - 4)\)

Now, simplify them.

\((y - 8) = 5(x - 4)\)

y - 8 = 5x -20

5x -y -20+8 = 0

Therefore, 5x - y -12 = 0 is the required equation.

Hope it helps...

Each box you fill in will be signified by the question number:

2) Multiplication of Equality:

When there is a equal sign (equation), what you do to one side, you must do to the other. In simplifying (\(\frac{x-2}{4}\)), you must first multiply 4 to both sides of the equation:

3) \(x - 2 = 8\)

\(4(\frac{x-2}{4}) = 4 * 2\\ x - 2 = 8\)

You are simply simplifying and so all you have to do is solve.

4) Addition Property of Equality:

You are adding 2 to both sides of the equation to isolate the variable, x.

\(x - 2 = 8\\x - 2 (+2) = 8 (+2)\\x = 8 + 2\)

5) x = 10 ; Simplifying:

You are simplifying by making the equation as short as possible. In this case, you will add 8 and 2 together:

\(x = 8 + 2\\x = 10\)

~

Learn more about solving proofs, here:

https://brainly.com/question/1771263

Answer:

the answer is b B decreases the fastest can I get the brainliest answer