3x-5y=22 2x+y=6
may you explain how you got the answer

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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A p-value conveys the type of probabilistic result known as "statistical significance." Statistical significance refers to the likelihood that a given result occurred by chance.

A p-value is a measure of this likelihood, with a smaller p-value indicating a smaller likelihood that the result occurred by chance. In other words, a smaller p-value indicates a higher level of statistical significance.

For example, if a p-value is 0.01, this means that there is a 1% chance that the result occurred by chance. This is considered to be statistically significant, as it is unlikely that the result occurred by chance. On the other hand, if a p-value is 0.5, this means that there is a 50% chance that the result occurred by chance. This is not considered to be statistically significant, as it is equally likely that the result occurred by chance or not.

In summary, a p-value conveys the type of probabilistic result known as statistical significance, with smaller p-values indicating a higher level of statistical significance.

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Adding the score of each round, Connor's current score is of -11 points.

To find the sum of two negative numbers, we keep the signal and add numbers.

For each round, Connor's scores are given as follows:

The combined score is the sum of each score, hence:

C = -5 + (-6) = -5 - 6 = -(5 + 6) = -11.

Connor's current score is of -11 points.

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Step-by-step explanation:

The variable is n, which can have different values. 9 is the coefficient of the variable term and -2 is the constant term

Answer:

C)N.

Because variables represent an unknown number.

Answer:

1. 400y + 8

2. 40y +8

3. 16y + 8

Answer:

solution set={18,10}

Step-by-step explanation:

x²-8x-180

comparing the above equation with the standard quadratic ax²+bx+c=0 equation,we get

here a=1 and b=-8 and c=-180

the quadratic formula is

x=-b±√(b)²-4ac/2a

putting values in the quadratic equation

x=-(-8)±√(-8)²-4(1)(-180)/2(1)

x=8±√64+720/2

x=8±√784/2

either

x=8+√784/2                               or      x=8-√784/2

x=8+28/2                                     or       x=8-28/2

x=36/2                                      or           x=-20/2

x=18                                       or                  x=-10

solution set = {18,-10}   

i hope it will help you    

Answer:  x = 18, x = -10

Step-by-step explanation:

 x² - 8x - 180 = 0

a=1  b=-8 c=-180

Use the quadratic formula:

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(-180)}}{2(1)}\\\\\\.\quad =\dfrac{8\pm \sqrt{64+720}}{2}\\\\\\.\quad =\dfrac{8\pm \sqrt{784}}{2}\\\\\\.\quad = \dfrac{8\pm 28}{2}\\\\\\.\quad =\dfrac{8+28}{2}\qquad or\qquad \dfrac{8-28}{2}\\\\\\.\quad =\ \dfrac{36}{2}\qquad \ or\ \qquad \dfrac{-20}{2}\\\\\\\large\boxed{x = 18\qquad or \qquad x=-10}\)

The congruency statement that describes the figures is:
ΔDEF ≅ ΔRSU

To answer your question, let's first find the image of triangle DEF after reflecting over the y-axis and then translating down 4 units and right 3 units.

1. Reflect ΔDEF over the y-axis:
D'(−6, 4), E'(−5, 8), F'(−1, 2)

2. Translate ΔD'E'F' down 4 units and right 3 units:
D''(−3, 0), E''(−2, 4), F''(2, −2)

Now, we have ΔD''E''F'' with points (−3, 0), (−2, 4), and (2, −2). Comparing this to ΔRSU with points (−2, 4), (−3, 0), and (2, −2), we can see that:

ΔD''E''F'' ≅ ΔRSU
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Answer:

ΔDEF ≅ ΔRSU

Step-by-step explanation:

Answer: 470,000

My last answer for the day :)

Explanation: When rounding to the nearest ten thousand, look at the number right after it (the thousand value).

Since the number is 8, round the 6 up by one, so 7.

Given:

The given function is:

\(f(x)=\sqrt{x-7}\)

To find:

The value of x that is in the domain.

Solution:

Domain is the set of input values.

We have,

\(f(x)=\sqrt{x-7}\)

We know that the square root is defined for non negative values. So,

\(x-7\geq 0\)

\(x\geq 0+7\)

\(x\geq 7\)

Thus, the domain of the given function is all real number that are greater than or equal to 7.

In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, \(x=8\) is in the domain of the given function.

Therefore, the correct option is A.

If both checks have not cleared yet, $55 will come out of Morgan's account soon for the missing check(s).

To determine if both checks have cleared, we need to know the current status of Morgan's account. Without that information, we cannot definitively say whether the checks have cleared or not.

However, based on the information provided, we can calculate the total amount that will come out of Morgan's account soon for the missing check(s).

The total amount that will come out of Morgan's account soon can be calculated as the sum of the $30 fee and the $25 birthday gift, which is $55 in total.

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Answer:

Step-by-step explanation:  It means a high level of quality, with 3.4 defects per million opportunities. It is this sigma level that leads to the term Six Sigma, which is a philosophy of delivering near perfect products or services by eliminating variabilities that lead to defects.

Answer:

B

Step-by-step explanation:

since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer

y>2/3 x +1 is your answer (B)

Answer:

Option B is the correct option.

Step-by-step explanation:

point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1

point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3

Now, let's find the slope:

Slope ( m ) = \( = \frac{y2 - y1}{x2 - x1} \)

\( = \frac{3 - ( - 1)}{3 - ( - 3)} \)

\( = \frac{3 + 1}{3 + 3} \)

\( = \frac{4}{6} \)

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

At ( 3 , - 1 )

y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis

\( - 1 = \frac{2}{3} \times ( - 3) + c\)

Solve for c

\( - 1 + 2 = c\)

\(c = 1\)

Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.

The answer would be:

\(y > \frac{2}{3} x + 1\)

Hope I helped!

Best regards!

With regard to the transformation, the matched table:

A. vertical stretch of a factor of 3                   ⇒  g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3      ⇒  g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3              ⇒  g(x) = 5 \(^{1/3x}\)

D. horizontal compression of a factor of 1/3  ⇒  g(x) = 5³ˣ

Let us consider the given function f(x) = 5ˣ

The function g ( x ) = 3 (5)ˣ would be vertically stretched by 3, as value of the multiplied constant '3' is greater than 1.

And the function g ( x ) = 1/3 (5)ˣ would be compressed vertically by 1/3, as the value of the multiplied constant '1/3' is less than 1.

Let us consider the given function f(x) = 5ˣ

Note: please remember that when the function input gets multiplied by a positive constant - assuming that constant as 'b' - we would obtain a function - a transformed function with a graph horizontally compressed or stretched.

If b > 1, the graph would be horizontally compressed by a factor of 1/b.

If 0 < b < 1, the graph would be horizontally stretched 1/b.

So the function  would be horizontally stretched by 3. The reason is simple. The constant value 1/3 is greater than 0 but lesser than 1.

And the function  would be stretched vertically by 3. The reason is simple. The constant value 3 is greater than 1.

So, the correct box would look like this:

A. vertical stretch of a factor of 3                   ⇒  g ( x ) = 3 (5)ˣ

B. vertical compression of a factor of 1/3      ⇒  g ( x ) = 1/3 (5)ˣ

C. horizontal stretch of a factor of 3              ⇒  g(x) = 5 \(^{1/3x}\)

D. horizontal compression of a factor of 1/3  ⇒  g(x) = 5³ˣ

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Consider this function.

f(x) = 5ˣ

How is function f transformed to create function g?

Match each transformation of function f with its description.

A. vertical stretch of a factor of 3

B. vertical compression of a factor of 1/3

C. horizontal stretch of a factor of 3

D. horizontal compression of a factor of 1/3

Options:

1. g(x) = 3(5)ˣ

2. g(x) = 1/3(5)ˣ

3. g(x) = 5^1/3x

4. g(x) = 5³ˣ

Answer:

14

Step-by-step explanation:

Answer:

y = 7 + x/2

Step-by-step explanation:

x = -14 + 2y

Answer:

Step-by-step explanation:

A triangle is 180°

One angle is a right angle = 90°

And one is an acute angle of 27°

So 90+27= 117

You subtract 180 with 117 to get the answer of

X= 63°

The length of the golden rectangle, to the nearest inch, when the width is 24 inches, should be 39 inches.

To find the length of the golden rectangle, we need to multiply the width by the golden ratio, which is approximately 1.618.

Length = Width × Golden Ratio

Length = 24 in × 1.618

Length ≈ 38.832

Rounding this value to the nearest inch gives us 39 inches. Therefore, the correct answer is C: 39 in. Or 15 in.

The golden ratio is a mathematical proportion that has been used in art and architecture for centuries. It is believed to create aesthetically pleasing and harmonious designs. In a golden rectangle, the ratio of the longer side to the shorter side is approximately 1.618. So, by multiplying the given width by the golden ratio, we can determine the corresponding length of the rectangle.

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To find the length of the diagonals of a regular pentagon with side length 2, we can use the Pythagorean theorem and trigonometric functions.

Let's draw a regular pentagon with side length 2 and label its vertices as A, B, C, D, and E.

[asy]

pair A,B,C,D,E;

A = dir(90);

B = dir(162);

C = dir(234);

D = dir(306);

E = dir(18);

draw(A--B--C--D--E--cycle);

label("A",A,N);

label("B",B,W);

label("C",C,SW);

label("D",D,SE);

label("E",E,NE);

[/asy]

We want to find the length of the diagonals AC and AD.

First, let's find the length of the segment AB. We can use the fact that the angles in a regular pentagon are all equal and sum to 540 degrees, so each angle is 108 degrees. The triangle ABE is isosceles, so we can use trigonometry to find the length of AB:

$\cos(54) = \frac{AB}{2}$

$AB = 2\cos(54)$

$AB = 1.309$

Next, let's find the length of the segment AC. We can use the fact that the triangle ABC is isosceles and use the Pythagorean theorem:

$AC^2 = AB^2 + BC^2$

$AC^2 = (1.309)^2 + 2^2$

$AC^2 = 5.452$

$AC = 2.338$

Finally, let's find the length of the segment AD. We can use the fact that the triangle ABD is isosceles and use the Pythagorean theorem:

$AD^2 = AB^2 + BD^2$

$AD^2 = (1.309)^2 + (2\cos(36))^2$

$AD^2 = (1.309)^2 + (2\cos(54))^2$

$AD^2 = (1.309)^2 + 1.896$

$AD = 2.240$

Therefore, the length of the diagonals AC and AD of the regular pentagon with side length 2 are approximately 2.338 and 2.240, respectively.

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The positive difference is 10,000. The old format had 26^3 = 17,576 possible combinations, while the new format has 26^4 = 456,976 possible combinations. The difference is 456,976 - 17,576 = 439,400, or 10,000 times the original amount.

The old format for license plates used three letters followed by three digits, which provided 26^3 = 17,576 possible combinations. The state changed the format to four letters followed by two digits, offering 26^4 = 456,976 possible combinations. This gives us a positive difference of 10,000 times the original amount, or 456,976 - 17,576 = 439,400. This increase in the number of combinations greatly increases the number of license plates available in the state.

The old license plate format of three letters followed by three digits provided an initial total of 17,576 combinations. This limits the amount of license plates available, as well as the individuality of the plates. In order to increase the number of plates and provide more individuality, the state changed the format to four letters followed by two digits. This new format increases the total number of combinations to 456,976, which is a positive difference of 439,400, or 10,000 times the original amount. This allows for more license plates to be available, as well as more individuality, as there are now 456,976 unique combinations to choose from.

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Answer:

X intercept: (3,0) and the y intercept: (0,1)

Step-by-step explanation:

To find the x intercept and the y intercept you want to find the point the value is at. We can see on the x intercept line that the line is hitting 3. So that means that your x intercept is (3,0) because its crossing at 3. Now for your y intercept, same thing. We can see that its crossing at 1, hence to why your y intercept is (0,1).

I hope this helps, have a good day!

Answer:

36 miles per hour

Step-by-step explanation:

36 miles per hour

The possible triangle orientations are given below -

The relation is that the sum of the two sides of the triangle is greater than the third side. Mathematically -

a + b > c

Given are the sides of a triangle as shown in the triangle.

{ 1 } -

2 yd , 7 yd , 8 yd

7 + 2 > 8

9 > 8    {true}

It forms a triangle.

{ 2 } -

1.5 cm, 2.3 cm, 3.8 cm

2.3 + 1.5 > 3.8

3.8 > 3.8    {false}

It does not form a triangle.

{ 3 } -

3 in. , 4 in. , 5in.

4 + 3 > 5

7 > 5  {true}

It forms a triangle.

{ 4 } -

5 m , 9 m , 14.5 m

9 + 5 > 14.5

14 > 14.5   {false}

It does not form a triangle.

{ 5 } -

14 ft , 15.8 ft , 33 ft

15.8 + 14 > 33

29.8 > 33    {false}

It does not form a triangle.

{ 6 } -

2.8 mm , 7.1 mm , 9.5 mm

7.1 + 2.8 > 9.5

9.9 > 9.5 {true}

It forms a triangle.

Therefore, the possible triangle orientations are given below -

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The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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Each bullet would cost 100/80 = $1.25 if 100 bullets cost $80.

The probability that the spinner lands in gray for both spins is 1/36.To determine the probability that the spinner lands in gray for both spins,

we need to know the total number of possible outcomes and the number of favorable outcomes.

Let's assume the spinner has 6 equal sectors, one of which is gray. We'll also assume that the spinner is fair and that each sector is equally likely to be landed on.

1. Total Number of Outcomes:

Since the spinner has 6 sectors, there are 6 possible outcomes for each spin. Therefore, the total number of outcomes for two spins is 6 multiplied by 6, which is 36.

2. Number of Favorable Outcomes:

For each spin, there is only 1 favorable outcome, which is the gray sector. Since we want the spinner to land in gray for both spins, we need to consider the probability of getting gray in each spin and multiply them together.

The probability of landing in gray on one spin is 1 out of 6, or 1/6.

Therefore, the number of favorable outcomes for both spins is (1/6) multiplied by (1/6), which is (1/6)^2 or 1/36.

3. Probability Calculation:

To calculate the probability, we divide the number of favorable outcomes by the total number of outcomes:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

Probability = (1/36) / (36/36)

Simplifying, we have:

Probability = 1/36

Therefore, the probability that the spinner lands in gray for both spins is 1/36.

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If Jamal wants to become a millionaire, then Jamal must wait for 19 years if he invests $22,108.44 at 21% today, Jamal must wait for 18 years if he invests $45,104.11 at 16% today, Jamal must wait for 22 years if he invests $152,814.56 at 8% today, and Jamal must wait for 24 years if he invests $276,434.51 at 6% today

To calculate the waiting period for Jamal, follow these steps:

Therefore, Jamal has to wait approximately 19, 18, 22, and 24 years respectively to become a millionaire by investing $22,108.44, $45,104.11, $152,814.56, and $276,434.51 respectively at 21%, 16%, 8%, and 6% interest rates.

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Answer:

6.

Step-by-step explanation:

The absolute value is defined as the distance from a number to 0 , and so it is always positive. So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.

source: https://socratic.org/questions/whats-the-absolute-value-of-6

i hope this helps!

Answer:

6

Step-by-step explanation:

Absolute value of -6 = 6

Absolute value refers to only the distance from the origin and not the direction. So, always it is positive

Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

Answer:

heres b i cant answer c cause i dont really understand it sorry Q-Q

Step-by-step explanation:

(b) Dunes Beach

In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.

The rate of buildup is 75 ft/15 yr = 5 ft/yr.