Solve for h. -98 = -7h h =

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

The solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the Intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3

Given that the number graph ranges from negative eight to eight on the x-axis and negative eight to eight on the y-axis.

Two lines that are perpendicular to each other intersect at (three, zero). The line with a positive slope is labeled a, and the line with a negative slope is labeled b.

The system is given byx – y = 3 (line a)x + y = 3 (line b)We know that both the lines a and b pass through (3,0).

Let's first find the points of intersection of the line a with the x-axis and the y-axis.

To find the point of intersection of the line a with the x-axis, put y = 0 in the equation x - y = 3x - 0 = 3x = 3So, the point of intersection of line a with the x-axis is (3,0).

To find the point of intersection of the line a with the y-axis, put x = 0 in the equation x - y = 3 0 - y = 3y = -3So, the point of intersection of line a with the y-axis is (0,-3).

Similarly, let's find the points of intersection of the line b with the x-axis and the y-axis.

To find the point of intersection of the line b with the x-axis, put y = 0 in the equation x + y = 3x + 0 = 3x = -3So, the point of intersection of line b with the x-axis is (-3,0).

To find the point of intersection of the line b with the y-axis, put x = 0 in the equation x + y = 3 0 + y = 3y = 3So, the point of intersection of line b with the y-axis is (0,3).

Now, we can plot the graph of the two lines a and b and then find the points of intersection as follows:

Therefore, the solution for the system is (0,3) as line a meets the y-axis at (0, -3) and the intersection point of a and b is (3,0). This makes it obvious that the solution for x will be 0 when the solution for y is 3.

Hence, the answer is (0, 3).Option B. (0, 3)

For more questions on Intersection .

https://brainly.com/question/30429663

#SPJ8

Answer:

Three points determine a plane.

:)

Answer:

Three

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

$ 410

hi there !

80% ................. $328

100% .................$ x

x = 100×328/80

= 32800/80

= $ 410

Good luck !

Answer:

l x w ig because it would be the area

Answer:

\( w = \frac{1}{2}{ p - l}\)

Step-by-step explanation:

\(p = 2l + 2w \\ \\ p - 2l = 2w \\ \\ \frac{p - 2l}{2} = w \\ \\ \frac{1}{2} p - l = w \\ \\ \huge \red {\boxed{ w = \frac{1}{2} p - l}}\)

In a case whereby the  survivors are forced to learn new behaviors in order to adapt to the situation and each other. This is an example of Emergent norm theory.

According to the emerging norm theory, groups of people congregate when a crisis causes them to reassess their preconceived notions of acceptable behavior and come up with new ones.

When a crowd gathers, neither a leader nor any specific norm for crowd conduct exist. Emerging conventions emerged on their own, such as the employment of umbrellas as a symbol of protest and as a defense against police pepper spray. To organize protests, new communication tools including encrypted messaging applications were created.

Learn more about behaviors   at:

https://brainly.com/question/1741474

#SPJ4

complete question;

An airplane has crashed on a deserted island off the coast of Fiji. The survivors are forced to learn new behaviors in order to adapt to the situation and each other. This is an example of which theory?

Answer:

c

Step-by-step explanation:

The Angle Bisector Equidistant Theorem Converse (ABET Converse) states that if a point is equidistant from the sides of an angle, then it lies on the angle bisector.

To understand the ABET Converse, we first need to understand the Angle Bisector Equidistant Theorem (ABET). The ABET states that if a point lies on the angle bisector of an angle, then it is equidistant from the sides of the angle. In other words, if we draw an angle and then bisect it (i.e., draw a line that splits the angle into two equal parts), any point on that line will be equidistant from the sides of the angle. The ABET Converse simply flips this idea around. It states that if a point is equidistant from the sides of an angle, then it must lie on the angle bisector. So, if we have a point that is the same distance from both sides of an angle, then that point must lie on the line that bisects the angle.

To learn more about angle bisector theorem : brainly.com/question/2478436

#SPJ11

The amount of  bird food in cubic centimeters will fit in the container is

11, 398. 2 cubic centimeters

The formula that is used for calculating the volume of a cylinder is expressed with the equation;

V = π(d/2)²h

Such that the parameters of the given equation are;

Now, substitute the values into the formula, we have;

Volume = 3.14 (22/2)² 30

divide the values

Volume = 3.14(121)30

Now, multiply the values and expand the bracket

Volume = 11, 398. 2 cubic centimeters

Learn about cylinders at: https://brainly.com/question/9554871

#SPJ1

Thus, the given quadratic equation has two real roots x = 3 and x = -2.

A function or mathematical statement of degree two is a quadratic function. This indicates that two is the function's highest power. The roots of all quadratic functions are two.

Given equation:

x² - x - 6 = 0

Using the quadratic formula:

x = [-b ± √(b² - 4ac) ] / 2a

a = 1 , b = -1 and c = -6

x = [1 ± √((-1)² - 4*1*(-6) ] / 2*1

x = [1 ± √(1 + 24) ] / 2

x = [1 ± 5 ] / 2

Now,

x = (1 + 5)/2 = 3

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

Thus, the given quadratic equation has two real roots x = 3 and x = -2.

Know more about the quadratic function:

https://brainly.com/question/1214333

#SPJ1

complete question:

Check whether the given equation has, one solution, two solution ,many solution or no real solution.

x² - x - 6 = 0

The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.

The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.

In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.

To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.

The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.

By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.

To calculate the UCL and LCL using ±3σ limits, we use the following formulas:

UCL = Mean + 3σ
LCL = Mean - 3σ

Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237

B) For data set B:
UCL = 7.82
LCL = 0

C) For data set C:
UCL = 8.382
LCL = 0

D) For data set D:
UCL = 7.82
LCL = -2.22

E) For data set E:
UCL = 9.112
LCL = 0

The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.

Learn more about statistical control limits click here :brainly.com/question/29512700

#SPJ11

Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?

A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.

Answer:

1139.2 hours

Step-by-step explanation:

6.40 x 178 = 1139.2

Answer:

Given:

area of 1 equilateral triangle =500cm²

a.there are 2 triangular faces.

b.total area of triangular bases =2×500cm²=1000cm²

Answer:

nonstatistical

Step-by-step explanation:

Have a great day and hope this helps

Answer:

statistical

Step-by-step explanation:

i did it

Answer:

Step-by-step explanation:

a) y=x²-4x+10

\(x^2-4x+10=\\\\x^2-2(x)(2)+2^2-2^2+10=\\\\(x^2-2(x)(2)+2^2)-2(2)+10=\\\\(x-2)^2-4+10=\\\\(x-2)^2+6\\\\Hence \ y=(x-2)^2+6\)

b) y=x²+8x+9

\(x^2+8x+9=\\\\x^2+2(x)(4)+4^2-4^2+9=\\\\(x^2+2(x)(4)+4^2)-4^2+9=\\\\(x+4)^2-16+9=\\\\(x+4)^2-7\\\\Hence \ y=(x+4)^2-7\)

c) y=x^2-22y+124

\(x^2-22x+124=\\\\x^2-2(x)(12)+12^2-12^2+12^2=\\\\x^2-2(x)(12)+12^2=\\\\(x-12)^2\\\\Hence \ y=(x-12)^2\)

The mean of the scores if 6 students in a competitive exam is 25 marks.

Given scores of 6 students are: 10,30,50,40,20 in a competitive exam.

We have to find out the mean of the mark of 6 students in a competitive exam.

Mean is the sum of all the values in a set of data, such as numbers, measurements, divided by the number of values. It is also known as average.

Mean=∑X/n

∑X=10+30+50+40+20

=150

N=6

Now to calculate the mean we have to divide 150 by number of students which is 6.

Mean=150/6

=25 marks.

Hence the mean of the scores of 6  students is 25 marks.

Learn more about mean at https://brainly.com/question/1136789

#SPJ4

Question is incomplete as it should include :

Marks of students =10,30,50,40,20.

Answer: $657.53

Step-by-step explanation:

Circumference of a circle = πd

But in this case, it's a semi circle, so the circumference will be:

= πd/2

= (3.142 × 31) / 2

= 97.402/2

= 48.701

Then, the total amount of the fencing will be:

= 48.701 + 31

= 79.701

Then, the fencing cost will be:

= 79.701 × $8.25

= $657.53

Answer:

5/8

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

The number of trials is n = 3.

The number of heads is r = 1.

The probability of heads is p = ½.

The probability of getting 1 heads and 2 tails is:

P = ₃C₁ (½)¹ (1 − ½)³⁻¹

P = 3 (½) (½)²

P = 3/8

So the probability of not getting 1 heads and 2 tails is:

1 − P = 5/8

The boys in the class that wear glae are 6 people.

The boys in the class that wear glae can be calculated as follows:

First we should calculate how many boys there are in the class. We can calculate it by multiplying the percent of the boys to the total students.

Boys in the class = \(\frac{20}{100} X 50\) = 10 people.

Thus, we can calculate the boys who wear the glae by multiplying the percent of the boys wearing glae of the boys in the class.

Boys wear glae = \(\frac{60}{100} X 10\) = 6 people.

Hence, The boys in the class that wear glae are 6 people.

Learn more on class here : https://brainly.com/question/7388286

#SPJ4

The answer is f of 5 = negative 1. The correct answer is option B

The complete graph is attached with the answer below.

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.

Therefore answer is f of 5 = negative 1. The correct answer is option B

To learn more about graphing function from here

brainly.com/question/27757761

#SPJ1

Answer:

The answer is f of 5 = negative 1.

Step-by-step explanation:

Edge

Following is the graph of given equations -

The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this context, a graph is made up of vertices connected by edges.

The mapping of functions of two variables onto a Cartesian coordinate system, which is made up of a horizontal x-axis, or abscissa, and a vertical y-axis, or ordinate, is done analytically through the use of graphs. The intersection of each axis, which is a real number line, at its zero point is known as the origin.

Given two equations are -

y=-x-2

y = 2x - 8

Solving the above equations, we get coordinates as -

y= - x - 2

The coordinates are - (1,-3), (0, -2)

For the equation y = 2x - 8, the coordinates are - (0,-8), (1,-6)

The common point of the above graph is - (2,-4)

Now, after plotting the above coordinates, we get the graph below,

To learn more about graphs from given link

https://brainly.com/question/19040584

#SPJ1

Answer: 6√6

Step-by-step explanation:

√216=

√(36*6)=6√6

The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

Read more about quadrilateral :

https://brainly.com/question/23935806

#SPJ4

The system stable with P(1)=1.7 and P(-1)=2.7. The correct answer is b.

To test the stability of a discrete control system with an open loop transfer function, we need to examine the roots of the characteristic equation, which is obtained by setting the denominator of the transfer function equal to zero.

The characteristic equation for the given transfer function G(z) is:

z^2 - 1.2z + 0.2 = 0

We can find the roots of this equation by factoring or using the quadratic formula. In this case, the roots are complex conjugates:

z = 0.6 + 0.4i

z = 0.6 - 0.4i

For a discrete control system, stability is determined by the location of the roots in the complex plane. If the magnitude of all the roots is less than 1, the system is stable. If any root has a magnitude greater than or equal to 1, the system is unstable.

In this case, the magnitude of the roots is less than 1, since:

|0.6 + 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

|0.6 - 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

Therefore, the system is stable.

The correct answer is:

b. Stable with P(1)=1.7 and P(-1)=2.7

Learn more about open-loop transfer: brainly.com/question/31300185

#SPJ11

The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.

Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Here, we have

We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.

We concluded from the above statement that when the population standard deviation is much greater than 5.

Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.

Therefore, the correct option is D.

To know more on standard deviation, visit:

https://brainly.com/question/31298828

Answer:

x = -14

Step-by-step explanation:

Divide each side by -3.

Subtract 9 from each side.

Answer:

x = -14

Step-by-step explanation:

-3(x + 9) = 15

Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)