108x25^2divided by
2^6 x 5^2​

The sum of both numbers is 107/12

One number is 6 3/4

The other smaller number is 2 1/6

The sum of both numbers can be calculated as follows

= 6 3/4 + 2 1/6

= 27/4 + 13/6

= 162 + 52/24

= 214/24

= 107/12

Hence the sum of both numbers is 107/12

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Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)

Answer:

D). g(x) = - x² - 4

Step-by-step explanation:

D). g(x) = - x² - 4

Answer: D

Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:

A (Bx±C) ± D

A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.

B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.

C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.

D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.

If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have

Ax² ± D.

A graph of x² with parenthesis might look like this

A (Bx²± C) ± D.

Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.

Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.

We know that a shift Downwards is an effect of D, so we know  the graph of g(x) looks like this so far:

x² - 4

However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.

So, g(x) looks like this now:

- x² - 4

After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.

Answer:

Convenience sampling

Step-by-step explanation:

When sampling is done based in degree of ease or samples picked from observations that are easily accessible rather than prioritizing randomness or selection which will most be representative of the population, then such sampling is called convenience sampling. In some texts, it is also referred to as grab sampling as researchers choose from close, easy to reach samples. In the scenario above, the quality control takes the easy procedure of checking the first and last 10 motorcycles as this is easier than having to take samples at random tune intervals which will be a better representation of the entire motorcycles.

Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent.  This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

First line

First column: AB is congruent to CB      Second column: Given

Second line

First column: angle ABD is congruent to angle CBD      Second column: Given

At this point we have the  SIDE-ANGLE portion of SAS.  We just need the other side.  We can see from the given angles that they both share a side...BD.

Third Line

First column: BD is congruent to BD     Second column: Reflexive property

All that is left is to state SAS.

Fourth Line

First Column:  Triangle ABD is congruent to triangle CBD     Second column: SAS (from lines 1,2,3)

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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Answer:

x=500 hope that helps at all

Answer:

56

Step-by-step explanation:

24x2+4x2

Simplify

48+8

Solve

56

Answer:

top left

Step-by-step explanation:

it is the only one that shows W at 1,4

Answer:

A. P = 72 feet, A = 300 square feet

Step-by-step explanation:

✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft

✔️Area of the polygon = area of a trapezoid = ½(a + b)h

Where,

a = 16 ft

b = 16 + 8 = 24 ft

h = 15 ft

Substitute

Area = ½(16 + 24)15

Area = ½(40)15

Area = 300 ft²

La edad actual de José es de 30 años.

Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.

La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.

Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.

Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].

Al resolver la ecuación resultante, encontramos que x = 30.

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Answer:

15

Step-by-step explanation:

First you will find the absolute value and a differnce between a number will always be positive!

Hello

        S        a         T

2a + 6  /            /
          /             /       a + 17
        /             /
   V          a         U

you want ST = VU (it's good) and SV = TU (not good)

2a + 6 = a + 17

2a - a = 17 - 6

a = 9

Answer:

Below in bold.

Step-by-step explanation:

The median ( the middle value) = 3.

and the mean = (1+3+3)/3 =  7/3 = 2.33....

If we add 6 to the list:

1, 3, 3, 6

- the median would be the same it = (3+3)/2 = 3.

but the mean would be (1+3+3+6)/4 = 13/4 = 3.25.

a. The researcher should expect each person to get 17 guesses correct under the null hypothesis that the person is guessing.

b. Person A has a smaller p-value because the person's number of successes is further to the hypothesized number of successes.

At the null hypothesis, it is tested if the person is guessing, that is, if the proportion is of 0.5, hence:

\(H_0: p = 0.5\)

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the person is not guessing, that is, if the proportion is different than 0.5, hence:

\(H_0: p \neq 0.5\)

Considering the tested proportion of 0.5, the expected number of correct guesses on the 34 trials is of:

0.5 x 34 = 17 correct guesses.

The test statistic is given by the equation presented as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters that are the same for each person are given as follows:

\(p = 0.5, n = 34\)

The sample proportions are given as follows:

Then the test statistics are given as follows:

Person A is farther from the mean due to the higher test statistical, hence it has a smaller p-value.

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Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

Divide total snow by hours/

70 inches / 4 hours = 17.5 inches per hour.

Divide total cost by quantity:

0.80 / 20 = $0.04 per orange.

Answer:

I think its (6,8) if im wrong i will write the correct answer here or i will right it in the comments

Step-by-step explanation:

Answer:

There is no solution.

Answer:

1.9x+2(1.5)>30

Step-by-step explanation:

1.9(15)+2(1.5)

28.5+3

31.5 dollars

therefore the equation is grater than 30 dollars

Answer:

  a) x = 1 ± (3/7)√7

  b) (-∞, -5) ∪ [-2, 5) ∪ [6, ∞)

Step-by-step explanation:

You want solutions to the relations ...

We like to solve these in the form f(x) = 0. It helps avoid extraneous solutions.

  \(7+\dfrac{1}{x} -\dfrac{1}{x-2}=0\\\\\\\dfrac{7x+1}{x}-\dfrac{1}{x-2}=0\\\\\\\dfrac{(7x+1)(x-2)-x}{x(x-2)}=0\\\\\\ \dfrac{7x^2-14x-2}{x(x-2)}=0\)

The roots of the numerator quadratic are found by ...

  x² -2x -2/7 = 0 . . . . . divide by 7

  x² -2x +1 -9/7 = 0 . . . . add and subtract 1

  (x -1)² = 9/7 . . . . . . . . . . write as a square, add 9/7

  x -1 = ±√(9·7/49) = ±(3/7)√7 . . . . take the square root

  x = 1 ± (3/7)√7

Rational inequalities are best solved by identifying the roots of numerator and denominator. These tell you where the function changes sign. The end behavior of the rational function tells you what the signs are changing from.

  \(\dfrac{x^2-4x-12}{x^2-25}\ge 0\\\\\\\dfrac{(x+2)(x-6)}{(x+5)(x-5)}\ge0\)

This has a horizontal asymptote at y=1 for |x|→∞. It has vertical asymptotes at x=±5.

The sign changes occur at x ∈ {-5, -2, 5, 6}. The rational expression is positive (approaching +1) for x < -5 and for x > 6. It is negative in the adjacent intervals, so positive again for -2 < x < 5.

The inequality is satisfied for ...

Answer:

\(\begin{array}{ccc}{Error} & {f} & {RF} & {Pilot} & {384} & {0.242} & {Human} & {69} & {0.043} & {Weather} & {362}& {0.228}& {Mechanical} & {435}& {0.274} & {Sabotage} & {338}& {0.213} \ \end{array}\)

The most serious threat is mechanical problems.

Step-by-step explanation:

Given

\(Pilot \to 384\)

\(Human \to 69\)

\(Weather \to 362\)

\(Mechanical \to 435\)

\(Sabotage \to 338\)

Solving (a): The relative frequency table

The relative frequency (RF) is calculated as:

\(RF = \frac{Frequency}{Total\ Frequency}\)

Where

\(Total\ Frequency = 384 + 69 + 362+ 435 +338\)

\(Total\ Frequency = 1588\)

So, the relative frequencies is as follows:

\(Pilot = 384/1588 = 0.242\)

\(Human = 69/1588 = 0.043\)

\(Weather = 362/1588 =0.228\)

\(Mechanical = 435/1588 = 0.274\)

\(Sabotage = 338/1588 = 0.213\)

So, the relative frequency table is:

\(\begin{array}{ccc}{Error} & {f} & {RF} & {Pilot} & {384} & {0.242} & {Human} & {69} & {0.043} & {Weather} & {362}& {0.228}& {Mechanical} & {435}& {0.274} & {Sabotage} & {338}& {0.213} \ \end{array}\)

Solving (b): The most serious threat

The most serious threat is the one with the highest frequency, and that is the mechanical problems.

Carrying out maintenance schedule and removal of potential threat are some of the ways it can be minimized.

Answer:

your answer is 2.5 or 2 1/2

Answer:

Result in decimals: 2.5

Result in fractions 2 1/2

Step-by-step explanation:

Answer:

Maximum height 8 feet; horizontal distance 11 feet

Step-by-step explanation:

got it right

The maximum height and horizontal distance is required.

Maximum height 8 feet; horizontal distance 16 feet

The given path is \((x-3)^2=-8(y-8)\)

If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.

\((x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11\)

or

\(x-3=-8\\\Rightarrow x=-5\)

The distance between -5 and 11 is \(11-(-5)=16\)

Middle point would be \(\dfrac{16}{2}=8\) from \(-5\).

\(-5+8=3\)

So, \(x=3\)

The maximum height will be

\((3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8\)

The maximum height is 8 feet and the horizontal distance is 16 feet.

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Answer:

predator killed animals to eat and prey is described as organism that predator kill for food.

The reflection of points P(-4, 1), Q(-2,-8), and R(8, -1) across y-axis is P'(4, 1), Q'(2, -8) and R'(-8, -1).

Option (C) is correct.

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given points are,

P(-4, 1), Q(-2,-8), and R(8, -1).

The reflection of point A(x, y) is (-x, y).

Implies that, coordinate of x axis changes and coordinate of y axis remains same.

Reflection of P(-4 , 1) = P'(4, 1)

Reflection of Q(-2, -8) = Q'(2, -8)

And reflection of R(8, -1) = R'(-8, -1)

So the required points are P'(4, 1), Q'(2, -8) and R'(-8, -1).

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Answer:

The Graph Shifts 4 units up

Step-by-step explanation:

Okay so, when you add four to a graph in this manner we have to look at the equation as a whole. f(x)=mx+b + 4. By adding four we are changing the y-intercept and shifting it up four. This will cause the entire graph to shift upwards four spaces.

The proofing for the triangle is illustrated below.

The proofing for a² + b² = c² in the triangle is illustrated.

It should be noted that the longest side in the triangle is the hypothenuse. The hypothenuse is gotten by finding the square root of the opposite and the adjacent.

Therefore, a² + b² = c²

Let's say a = 3 and b = 4, the value of c will be:

c² = a² + b²

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = ✓25

c = 5

Also, the square and triangle is illustrated and attached.

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For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

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