7) 4r^2- 12r + 5=0 in quadratic form​

Answer:

The slope is 1/3

Answer:

please follow me dear

please mark me as brainliest.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

To learn more about Simplification link is here brainly.com/question/19691064

#SPJ4

Answer:

given,

(x y)= (k -3)

so ,

5x- 2y= -24

or, 5k +6 =-24

or,5k =-24 - 6

or,5k= -30

therefore,

k=-6

Answer:

x = 2

Step-by-step explanation:

3x+4y=36

Y=-1/2+8

Now we substitute y with -1/2+8.

3x + 4(-1/2+8) = 36

3x + 4(7.5) = 36

3x + 30 = 36

3x = 6

x = 2

Have an amazing day!!

Please rate and mark brainliest!

Answer:

-4

Step-by-step explanation:

-6 - (-2)

-6 + 2

-4

Answer:

-4

Step-by-step explanation:

-6 -(-2)=-4

Hoped that helped:P

Answer:

x=10

Step-by-step explanation:

If we subtract 2 from 52 we get 50 and ten mutiplys into 50.

The sample standard deviation is approximately 0.83.

Sample size \(($n$)\) = 36

Population mean \(($\mu$)\) = 50

Population standard deviation \(($\sigma$)\) = 5

The sample standard deviation, denoted as \($s$\) can be estimated using the formula:

\(\[ s = \sqrt{\frac{\sum_{i=1}^{n}(x_i - \bar{x})^2}{n-1}} \]\)

where:

\($x_i$\) represents the individual data points in the sample

\($\bar{x}$\) is the sample mean

In this case, since we don't have individual data points, we can use the population standard deviation as an estimate for the sample standard deviation when the sample size is relatively large (as in this case \($n = 36$\)). This approximation is known as the standard error of the mean.

Therefore, the sample standard deviation can be approximated as:

\(\[ s \approx \frac{\sigma}{\sqrt{n}} \]\)

Substituting the given values:

\(\[ s \approx \frac{5}{\sqrt{36}} = \frac{5}{6} \] = 0.83\)

Hence, the sample standard deviation is approximately 0.83.

Learn more about sample standard deviation: https://brainly.com/question/18567452
#SPJ11

a) The probability that a single subgrid gets at most 10 firefighters, calculated using the Chernoff bound, is given by exp(-10/3).

b) Using the union bound, the upper bound on the probability that the city fails to meet its goal is 5041 times exp(-10/3).

a) Using the Chernoff bound, we can compute the probability that a single subgrid gets at most 10 firefighters. Let X be the number of firefighters assigned to a subgrid. We want to find P(X ≤ 10). Since the firefighters are assigned uniformly and independently, each firefighter has a 1/100 probability of being assigned to any given intersection. Therefore, for a single subgrid, the number of firefighters assigned, X, follows a binomial distribution with parameters n = 1000 (total number of firefighters) and p = 1/100 (probability of a firefighter being assigned to the subgrid).

Applying the Chernoff bound, we have:

P(X ≤ 10) = P(X ≤ (1 - ε)np) ≤ exp(-ε²np/3),

where ε is a positive constant. In this case, we want to find an upper bound, so we set ε = 1.

Plugging in the values, we get:

P(X ≤ 10) ≤ exp(-(1²)(1000)(1/100)/3) = exp(-10/3).

b) Now, using the union bound, we can calculate an upper bound on the probability that the city fails to meet its goal of having more than 10 firefighters in every 30 × 30 subgrid. Since there are (100-30+1) × (100-30+1) = 71 × 71 = 5041 subgrids, the probability that any single subgrid fails to meet the goal is at most exp(-10/3).

Applying the union bound, the overall probability that the city fails to meet its goal is at most the number of subgrids multiplied by the probability that a single subgrid fails:

P(failure) ≤ 5041 × exp(-10/3).

Thus, we have obtained an upper bound on the probability that the city fails to meet its goal using the Chernoff bound and the union bound.

Learn more about probability here: https://brainly.com/question/31828911

#SPJ11

Answer:

6 is no, -8 is no, - 10 is no, 5 is no

Step-by-step explanation:

6 is no beacause 3 - 4(6) = 11

                            3 - 24 = 11

                               -21 = 11

-21 is not equal to 11 so that means that 6 is not a solution.

- 8 is no because 3 - 4(- 8) = 11

                             3 + 32 = 11

                                  35 = 11

35 is not equal to 11 so that means that - 8 is no a solution

- 10 is no beacause 3 - 4(-10) = 11

                            3 + 40 = 11

                               43 = 11

43 is not equal to 11 so that means that - 10 is not a solution.

5 is no beacause 3 - 4(5) = 11

                            3 - 20 = 11

                               -17 = 11

-17 is not equal to 11 so that means that 5 is not a solution.

Hope that helps!

Answer:

If u=6,

 3-4u=11

3-4(6)=11

 3-24=11 (false; not a solution)

If u=-8,

  3-4u=11

3-4(-8)=11

 3+32=11 (false; not a solution)

If u=-10,

   3-4u=11

3-4(-10)=11

   3+40=11 (false; not a solution)

If u=5,

 3-4u=11

3-4(5)=11

3-20=11 (false; not a solution)

Answer: The power 3 times 2=6.0

Step-by-step explanation:multiply the power you get 0 multiply the 2x3

Answer: 16

Step-by-step explanation: \(2^{3}\) = 8. This is because when a number is expressed to the power of a #, it means to multiply that # by itself by how many times the number of the exponent is. So, \(2^{3}\) =

2 x 2 x 2

4 x 2 = 8

Now, we must remember to multiply the 2 after we get 8. So,

8 x 2 = 16

So, therefore, 2 by the power of 3 times 2 = 16

I hope this helps!

The quadratic function y = -7x² represents the trajectory of one of the water balloons. Since it is a quadratic function, it forms a parabola. The coefficient of x², -7, determines the shape of the parabola.

Since the coefficient is negative, the parabola opens downwards.
The x-axis represents time, and the y-axis represents the height of the water balloon. The vertex of the parabola is the highest point the water balloon reaches before falling back down. To find the vertex, we can use the formula

x = -b/2a.

In this case,

b = 0 and a = -7.

Thus, x = 0.
So, the water balloon reaches its highest point at x = 0.

Plugging this value into the equation, we find that y = 0.

Therefore, the water balloon starts at the ground, reaches its highest point at x = 0, and then falls back down.

To know more about quadratic function visit:

https://brainly.com/question/18958913

#SPJ11

Since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

The quadratic function \(y = -7x^2\) represents the height (y) of a water balloon at different moments (x). When two water balloons collide, it means their heights are equal at that particular moment. To find when the collision occurs, we can set the two quadratic functions equal to each other:

\(-7x^2 = -7x^2\)

By simplifying and rearranging, we get:

0 = 0

This equation is always true, which means the water balloons collide at every moment. In other words, they collide continuously throughout their trajectory.

In conclusion, since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

Learn more about collision from the given link:

https://brainly.com/question/30636941

#SPJ11

9514 1404 393

Answer:

  3x +2y = -38

Step-by-step explanation:

When a point and the slope are given for a line, the point-slope form of the equation is useful.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = -3/2(x -(-10))

  y + 4 = -3/2x -15

Multiplying by 2 gives ...

  2y +8 = -3x -30

Adding 3x-8, we get ...

  3x +2y = -38

Answer:

3x + 2y = -38

Just plug in the x and y values to get the answer!

We already know that when x is -10 y = -4 so all we have to do is substitute them.

y = mx + b

-4 = -3/2(-10) + b

-4 = 30/2 + b

-4 = 15 + b

-19 = b

Answer:

Your other answers all look good - I think the word in the blank is producer, which means an organism that makes its own food. Green plants do so through photosynthesis.

Answer:

producer

Step-by-step explanation:

Because it makes sense

We are given the following function:

We are asked to determine the value of p(8a). That means that we will substitute the value of "x = 8a" in the function, like this:

Now, we solve the exponents using the following property:

Applying the property we get:

Solving the products we get:

Since we can't simplify any further this is the final answer.

hello hello hello

Step-by-step explanation:

hi hi hi

The equation of the plane is: 3x + 24y - 2z + 31 = 0

To find an equation of a plane containing three points:

We can use the fact that the normal vector to the plane is perpendicular to any vector lying in the plane. We can find the normal vector by taking the cross product of two vectors lying in the plane, and then use the equation of a plane in point-normal form.

Let's first find two vectors lying in the plane by taking the differences between the three given points:

v1 = <(-2) - (-4), 5 - 1, 1 - (-4)> = <2, 4, 5>

v2 = <(-2) - (-4), 6 - 1, 3 - (-4)> = <2, 5, 7>

Now we can take the cross product of v1 and v2 to find a normal vector to the plane:

n = v1 x v2 = <(4)(7) - (5)(5), -(2)(7) + (5)(2), (2)(5) - (4)(2)> = <-3, -24, 2>

We want the coefficient of x in the equation of the plane to be 3, so we need to scale the normal vector by a factor of -1/3:

n' = (1/3)<3, 24, -2> = <1, 8, -2/3>

Now we can use any of the three given points to write the equation of the plane in point-normal form. Let's use the first point (-4, 1, -4):

(x - (-4), y - 1, z - (-4)) · <1, 8, -2/3> = 0

Simplifying and multiplying through by 3 to eliminate the fraction, we get:

3x + 24y - 2z + 31 = 0

So an equation of the plane containing the three points (-4, 1, -4), (-2, 5, 1), (-2, 6, 3) in which the coefficient of x is 3 is 3x + 24y - 2z + 31 = 0.

For more similar questions on plane:

https://brainly.com/question/24048256

#SPJ11

Answer:

-1/2 ignore this widjsnwnsisiahwndmd

The land developer will be able to form 1171 lots from the remaining land after the shopping center is built.

The developer plans to divide the land into two parts: a shopping center with an area of 160 acres, and the rest of the land which will be used for lots.

To find out how much land will be used for lots, we can subtract the area of the shopping center from the total area of the land:

550.39 acres - 160 acres = 390.39 acres

The remaining 390.39 acres will be used for the lots.

To find out how many lots can be formed, we need to divide the remaining area by the area of each lot. We know that no lot will be smaller than 1/3 acre, so we need to make sure that the number of lots we calculate is rounded down to the nearest integer:

390.39 acres ÷ (1/3) acre/lot ≈ 1171.17 lots

Since we cannot have a fraction of a lot, we need to round down to the nearest integer:

Number of lots = 1171 lots

Learn more about land developer

https://brainly.com/question/9797241

#SPJ4

The probability that each of the final rolls is at least as large as the roll preceding it is \(1/6^6\) or 1/46656.

Given data,

A fair die is rolled n times. We have to find the probability that each of the final rolls is at least as large as the roll preceding it.The probability that each of the final rolls is at least as large as the roll preceding it means the probability of getting each number greater than the preceding one. So, there will be no duplicates.

First, find the total possible outcomes on a fair die. The total possible outcomes on a fair die are 6 because the numbers are 1,2,3,4,5,6. The number of possible outcomes for each roll of the die is 6. Then the total number of possible outcomes on the nth roll of a die is\(6^n\). There will be only one possible sequence in which each of the final rolls is at least as large as the roll preceding it. Let's check it from the following table.

Roller 1Roller 2Roller 3Roller 4Roller 5Roller 61-2-3-4-5-6

Here, we got only one sequence 1,2,3,4,5,6 to have each number greater than the preceding one. So, the probability of getting this sequence is \(1/6^6\).

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

The truth value of the given proposition is "false".

The truth value of the given proposition can be evaluated using the following steps:

Convert the binary representation of the numbers to decimal:

0 = 0

~1 = -1 (invert the bits of 1 to get -2 in two's complement representation and add 1)

10 = 2

Apply the comparison operator "=" between the left and right sides of the equation:

(0 = -1) = 2

Evaluate the left side of the equation, which is false, because 0 is not equal to -1.

Evaluate the right side of the equation, which is true, because 2 is a nonzero value.

Apply the comparison operator "=" between the results of step 3 and step 4, which yields:

false = true

Therefore, the truth value of the given proposition is "false".

Learn more about  value from

https://brainly.com/question/24305645

#SPJ11

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The Laplace transform of the function \(f(t) = 1 is L{f(t)} = 1/s.\)

To find the Laplace transform of the function f(t) = 1, we will use the definition of the Laplace transform:

L{f(t)} = ∫₀^∞ e^(-st)f(t) dt

where s is a complex number.

For the given function, f(t) = 1 for 0 ≤ t < ∞. This means that the function is constant and equal to 1 for all values of t greater than or equal to 0. Therefore, we can write:

L{f(t)} = ∫₀^∞ e^(-st) dt

To evaluate this integral, we can use the formula:

∫₀^∞ e^(-at) dt = 1/a for a > 0

Applying this formula, we get:

L{f(t)} = ∫₀^∞ e^(-st) dt = [1/(-s)] [e^(-st)]0^∞

= [1/(-s)] [(lim{t→∞} e^(-st)) - e^0]

= [1/(-s)] [(0 - 1)]

= 1/s

Therefore, the Laplace transform of the function f(t) = 1 is L{f(t)} = 1/s.

Learn more about laplace here:

https://brainly.com/question/31481915

#SPJ1

Answer:

Yes

Step-by-step explanation:

An interger cannot have a fraction or decimal. It can be negative and positive.

Answer:

yes!

Step-by-step explanation:

An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Unlike floating point numbers, integers cannot have decimal places. Integers are a commonly used data type in computer programming.

The value of x will be 1 and -10.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is x²+7x-10=-2x

Add 2x on both sides

x²+9x-10=0

put a=1, b=9 and c=-10 in quadratic formula.

x=-9±√81+40/2

x=-9±√81+40/2

x=-9±√121/2

x=-9±11/2

x=-9+11/2=2/2=1 and

x=-9-11/2=-10

Hence, the value of x will be 1 and -10.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ1

The equation of the line that passes through the point (8,-4) and has a slope of 1/2 is; y = -x/2 +6.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

This is the required equation of a line in a point-slope form.

We know that Point-Slope Form:

y - y₁ = m(x- x₁)  

Where x₁ - x coordinate and y₁ - y coordinate

m - slope

Point (-4,8)

Then Slope m = -1/2

Now the equation as;

y - 8 = -1/2(x + 4)

y - 8 = -x/2 - 4/2

y - 8 = -x/2 - 2

y = -x/2 - 2 + 8

y = -x/2 +6

Hence we get the equation as y = -x/2 +6

Learn more about Point slope form here:

brainly.com/question/6497976

#SPJ9