math
what is units rates

Answer:

205??????

Step-by-step explanation:

sorry if I didn't get it right

Step-by-step explanation:

it may help you to understand

Answer:

1.26 feets

Step-by-step explanation:

Given the following :

Vertex (0, 0)

Focus of reflector = 6 feets

Extension = 5.5 feets

Equation to obtain conic section of a parabola:

(x - h)² = 4p(y - k)

Vertex (0, 0)

h =0 ; k = 0, p = 6, x = 5.5

(5.5 - 0)² = 4*6(y - 0)

30.25 - 0 = 24(y - 0)

30.25 = 24y

y = 30.25 / 24

y = 1.26

Hence, depth of reflector = 1.26 feets

Answer:

60 slices

Step-by-step explanation:

Well, to start you must figure the amount of slices, to begin with. This is 9 x 8

this is = to 72.

Then you take 5/6 of 72/1 by multiplying across. to get 60

Answer:

[tex]x = 21.[/tex]

Step-by-step explanation:

[tex]m \angle \: bce = m \angle \: bcd + m \angle \: dce \\ 6x = 74 + (3x - 11) \\ 6x - 3x = 74 - 11 \\ 3x = 63 \\ \boxed{ x = 21.}[/tex]

♨Rage♨

Answer:

1/15625

Step by Step Explanation:

Its the right answer

Answer:

0.32 mL

Step-by-step explanation:

d = m/v

v = m/d

v = 4.0 g ÷ 12.5 g/mL

g ÷ g cancels out the unit g

v = 0.32 mL

The true statement is: "Octave is the name of a particular interval size."

In music theory, an octave refers to the interval between two pitches where the higher pitch has a frequency that is exactly twice that of the lower pitch. It represents a doubling or halving of the frequency. For example, if we start on the note A and move up to the next A, we have traversed an octave.

An interval, on the other hand, refers to the distance between two pitches. It is the numerical representation of the difference in pitch between two notes.

The statement mentioning "interval as the name of a particular octave size" is incorrect because the octave is a specific interval size, not the other way around.

The statement suggesting that "the fifth is a kind of octave" is also incorrect. The fifth is a specific interval that represents the distance of five diatonic scale steps between two pitches.

Lastly, the statement that "a synonym for distance is octave" is not true. While an octave represents a specific interval size, the term "distance" is a more general term that can refer to the measurement between any two pitches, regardless of the specific interval size.

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The domain of each function is determined by the values of x for which the function is defined. The domain of function a) f(x) = x²-3x-4 is all real numbers. The domain of function b) f(x) = 2x-3 is all real numbers. The domain of function c) M(x) = √(x-5) is x ≥ 5. The domain of function d) g(x) = (x+9)/(x-4) is x ≠ 4. The domain of function e) h(x) = 16/(2x-5) is x ≠ 2.

a) The function f(x) = x²-3x-4 is a polynomials function, and polynomial functions are defined for all real numbers. Therefore, the domain of f(x) is all real numbers.

b) The function f(x) = 2x-3 is a linear function, and linear functions are defined for all real numbers. Hence, the domain of f(x) is all real numbers.

c) The function M(x) = √(x-5) represents a square-root function. Square root functions are defined only for non-negative values inside the square root. In this case, x-5 must be greater than or equal to zero, which implies x ≥ 5. Therefore, the domain of M(x) is x ≥ 5.

d) The function g(x) = (x+9)/(x-4) is a rational function. Rational functions are defined for all real numbers except the values that make the denominator equal to zero. In this case, the denominator is x-4, so the function is undefined when x = 4. Hence, the domain of g(x) is x ≠ 4.

e) The function h(x) = 16/(2x-5) is also a rational function. Similar to the previous explanation, rational functions are defined for all real numbers except the values that make the denominator equal to zero. In this case, the denominator is 2x-5, so the function is undefined when x = 5/2. Therefore, the domain of h(x) is x ≠ 5/2 or x ≠ 2.

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Answer:

-12 is the answerrrrrr

Step-by-step explanation:

what do u think ?

not always true so the answer is false

Answer:

I can solve but I can't see clearly your questions...

Answer:

11

Step-by-step explanation:

To divide these terms we should subtract x from 7

19^7/19^x = 19^-4

19^7-x = 19^-4

7 - x = -4

-x = -4 -7

x = 11

Answer:

Translations mapping = (x, y) -----> (x+a, y+b)

Reflections across the y-axis = (x, y) -----> (-x, y)

Reflections across the x-axis = (x, y) -----> (x, -y)

Rotation: 90 degree: (x, y)-----> ( -y, x )

Rotation: 180 degree: (x, y)-----> (-x, -y)

Rotation: 270 degree: (x, y)-----> (y, -x)

Answer:

Step-by-step explanation:

The equation of the line through the points (10, 54) and (42, 48)

Slope

y-intercept

So the line is

The support beam has y-intercept 12 feet below

Required equation

Answer:

853

Step-by-step explanation: hope this helps

Answer:

853

Step-by-step explanation:

Hope this helps!

24^2 = 976

20^2 = 400

976+400-123= 853

The working to the problems shows the factorization method of solving quadratic equations.

A polynomial equation of degree 2 is a quadratic equation because it includes terms with variables raised to the power of 2.

We have that;

[tex]x^2 + 10x + 16 = 0\\x^2 + 8x + 2x + 16 = 0[/tex]

x(x + 8) + 2 (x + 8) = 0

(x +2) (x + 8) = 0

x = -2 and -8

2)

[tex]x^2 - 6x + 5 = 0\\x^2 -5x - x + 5 = 0[/tex]

x(x - 5) -1 (x - 5) = 0

(x - 5) (x - 1) = 0

x = 1 or 5

3)

[tex]x^2 - 2x - 8 = 0\\x^2 -4x + 2x - 8 = 0[/tex]

x(x - 4) + 2(x - 4) = 0

(x + 2) (x - 4) = 0

x = -2 or 4

4)

[tex]2x^2 - 8x - 10 = 0\\x^2 - 4x - 5 = 0\\x^2 +x - 5x - 5 = 0[/tex]

x(x + 1) -5(x + 1) = 0

(x + 1) (x - 5) =0

x = -1 or + 5

5)

[tex]4x^2 - 36 = 0\\x^2 - 9 = 0[/tex]

x = ±3

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Answer:

8m

Step-by-step explanation:

The equation for the line in slope-intercept form is: y = (-2/9)x + 41/9 This is the required equation for the line that passes through the points: (-2, 5) and (7, 3) in point-slope form.

The equation for the line that passes through the points: (-2,5) and (7,3) in point-slope form can be found as follows:

Solution:

Given points are (-2, 5) and (7, 3).

Let (x1, y1) = (-2, 5)and (x2, y2) = (7, 3)

Formula used: Point-slope form of a line: y - y1 = m(x - x1)

Slope of the line: m = (y2 - y1) / (x2 - x1)

Substitute x1, y1, x2, and y2 in the slope formula: Slope m = (3 - 5) / (7 - (-2)) = -2 / 9

Slope-intercept form of the line: y = mx + b

Substitute slope m, and any one point (x1, y1) in the slope-intercept formula: 5 = (-2/9) * (-2) + b

Simplify and solve for b: 5 = 4/9 + b b = 41/9

The equation for the line in slope-intercept form is: y = (-2/9)x + 41/9

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The probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes is found as  `0.7475`. Hence, the option D is correct.

The length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 2.5 minutes and a standard deviation of 0.75 minute.

We are supposed to find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

So, we need to find `P(x < 3)` where `x` is the time taken to find a parking spot in the library parking lot.

Now, z-score will be

`z = (3 - 2.5)/0.75

= 0.67`

By looking at the z-score table, the probability that corresponds to z = 0.67 is 0.2514.

Therefore,

`P(x < 3) = P(z < 0.67)

= 0.2514 + 0.5

= 0.7514

≈ 0.7475 (approx)`

So, the correct option is `0.7475`. Hence, the answer is option D.

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We are asked to apply Axiom 2, also known as the "unique fold" axiom, to find the line that maps point p1 = (1,4) onto point p2 = (3,1). We will use the formula for the equation of a line to determine the equation of the line that satisfies this condition. We can then verify our answer by plotting the two points on a graphing tool like Desmos.

Axiom 2 states that for any two distinct points p1 = (x1, y1) and p2 = (x2, y2), there exists a unique line that maps p1 onto p2. The equation of a line passing through two points can be found using the point-slope formula:

y - y1 = m(x - x1)

where m is the slope of the line. To find the slope, we use the formula:

m = (y2 - y1) / (x2 - x1)

In this case, p1 = (1,4) and p2 = (3,1), so we can substitute these values into the formulas to find the equation of the line. The slope is:

m = (1 - 4) / (3 - 1) = -3 / 2

Using the point-slope formula with p1, we have:

y - 4 = (-3/2)(x - 1)

Simplifying the equation, we get:

y - 4 = (-3/2)x + 3/2

y = (-3/2)x + 11/2

This is the equation of the unique line that maps p1 onto p2. To verify our answer, we can plot the two points (1,4) and (3,1) on a graphing tool like Desmos and observe that they lie on the same line with the equation

y = (-3/2)x + 11/2.

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Answer:

Step-by-step explanation:

7x5=35     i hope this helps

As Q is the midpoint of pr the value of qr will be 9 units

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts.

Here in the question It is given that q is the midpoint of pr which implies  q will divide pq into two equal parts that is pq (x+8) equals qr (9x). now calculating x value first :

[tex]\begin{aligned}pq&=qr\\x+8&=9x\\8x&=8\\x&=1\end{aligned}[/tex]

Now, qr will be [tex]9x=9\cdot1=9[/tex]

Therefore, As Q is the midpoint of pr the value of qr will be 9 units

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Answer:

See below

Step-by-step explanation:

The sequence given

We see the pattern: triple the previous term plus 1

Next two terms

Following two terms

Answer: WAP if yu dont understand look up videos of WAP

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

m < PCA = m  < CAD ( alternate angles)

m < BAD = m <CAD ( given)

Also m < CAB = m < PCA + m < CPA  ( exterior angle of a triangle theorem).

Also m < CAB = m< CAD + m < BAD (given)

So  m < PCA + m < CPA =  m < CAD + m < BAD

But m < PCA = m  < CAD

so  m < CAD + m < CPA = m < CAD + m BAD

So m < CPA = m < BAD

But m < PCA = m < CAD = m BAD

therefore m < CPA = m < PCA

That makes triangle CAP isosceles

Therefore AP = AC.

The slope of the line that goes through the points (3, 7) and (-1, 4) is 3/4.

The slope formula is: m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line. This will allow us to determine the slope of the line that passes through the points (3, 7) and (-1, 4).

When we enter the provided coordinates into the formula, we get:

m = (4 - 7) / (-1 - 3) = -3 / (-4) = 3/4

The pace at which the y-coordinates vary in relation to the x-coordinates is shown by the slope, which expresses how steep the line is. In this instance, the slope of 3/4 means that the y-coordinate increases by 3 units for every 4 units that the x-coordinate increases. Likewise, the y-coordinate falls by 3 units for every 4 units decrease in the x-coordinate.

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Answer:

The slope of the line that goes through (3,7) and (-1,4) is 3/4

Step-by-step explanation:

Apply the formula m = (y₂ - y₁) / (x₂ - x₁) to find the slope.

(x₁, y₁) = (3, 7)

(x₂, y₂) = (-1,4)

= (4 - 7) / ((-1) - 3)

= -3 / -4

Since both of them are negative, they cancel out to 3/4.

Answer:

220%,2.2,√5,2.25

Step-by-step explanation:

220%=2.2

√5=2.23

Answer:

(see first pic attached)

Step-by-step explanation:

Answer:

1 5/16

Step-by-step explanation:

subtract 1 3/4 from 3 1/16

Answer:

subtraction property of equality

Step-by-step explanation:

180 = 155 + m< EGH

Subtract 155 from each side using the subtraction property of equality

180-155 = 155-155 + m< EGH

25 = m< EGH