Two quantities, Pand Q, are connected by
the relationship P= kQ+ c, where k and c
are constants. Q= 60 when P= 10 and
Q= 240 when P= 100.
Find the equation connecting P and Q.

Answer:

B. Vertical angles

Step-by-step explanation:

Answer:

l=6, w=3

And A is the multiplication of l and w

A=6×3

The probability when x is greater than 120 is 0.0367. Then the correct option is D.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be

The z-score will be

z = (120 - 95)/ 14

z = 1.7857

Then the probability will be

P(x > 120) = P(z > 1.7857)

P(x > 120) = 1 - P(x<120)

P(x > 120) = 1 - 0.96293

P(x > 120) = 0.0367

More about the normal distribution link is given below.

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Answer: Minimum: 0

Quartile Q1: 22.5

Median: 50

Quartile Q3: 77.5

Maximum: 100

Step-by-step explanation:

Answer:

T4 = 162   T5 = 486    T6 = 1458

Explanation:

the pattern is multiply the previous number by 3

so 6 x 3 = 18

18 x 3 = 54

54 x 3 = 162 and so on.

Answer:

a)  599 feet

Step-by-step explanation:

** As the measure of distance is in feet, we must use the value of gravity in ft/s² **

Constant Acceleration Equations (in ft)

Assuming that the projectile is fired at an angle of 12° above the horizontal.

Consider the vertical and horizontal motion separately.

Vertical motion

First, find time by resolving vertically, taking up as positive and
g = 32 ft/s²

[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies 0 & = 217 \sin 12^{\circ}t+\dfrac{1}{2}(-32)t^2\\0 & = 217 \sin 12^{\circ}t-16t^2\\t(16t-217 \sin 12^{\circ}) & = 0\\16t & = 217 \sin 12^{\circ}\\t & = \dfrac{217 \sin 12^{\circ}}{16}\\t & = 2.819802307...\: \sf s\end{aligned}[/tex]

Horizontal motion

Resolving horizontally, taking right as positive:

(The horizontal component of velocity is constant, as there is no acceleration horizontally)

[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies s & = (217 \cos 12^{\circ})(2.819802307...)+\dfrac{1}{2}(0)t^2\\& =598.5256808...\end{aligned}[/tex]

Therefore, the horizontal distance is 599 ft (nearest foot)

Answer:

Tan(51.06) = 1.24 so the correct answer is A

Step-by-step explanation:

Sin0 = 7/9

0 =Arcsin(7/9)

0 =51.06

So,

Tan(51.06) = 1.24 so the correct answer is A

Answer:

A. [tex]\frac{7\sqrt{2} }{8}[/tex]

Step-by-step explanation:

Finding the missing side :

7² + x² = 9²

x² + 49 = 81

x² = 32

x = 4√2

Taking the tan value :

tanθ = 7/(4√2)

tanθ = 7(4√2)/4√2(4√2)

tanθ = 28√2/32

tanθ = [tex]\frac{7\sqrt{2} }{8}[/tex]

Answer:

The answer is MC = 1100. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Step-by-step explanation:

I just added them up to get the real answer. The real answer is 1131 but I have estimated the answer to the nearest hundred.

Answer:

slope = 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - 5/0- 2 = 9/2

Probability that the next person will purchase more than one costume as a fraction in simplest form is; 11/113

We are given the data for number of people who visited the website and the number of costumes purchased in a single day as;

Number of visitors that purchased no costume = 27 visitors

Number of visitors that purchased exactly one costume = 75

Number of visitors that purchased more than one costume = 11

Total number of visitors = 27 + 75 + 11 = 113

Thus;

Probability that the next person will purchase more than one costume as a fraction in simplest form is;

P(purchase more than one costume) = 11/113

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Answer:

D

Step-by-step explanation:

4x + 3y = 6

-4x + 2y = 14

0 + 5y / 5 = 20/ 5 = 4 = y

4x + 3(4) = 6

4x + 12 - 12 = 6 - 12

4x / 4 = -6 / 4 = -3 / 2 =x

Answer:

20

Step-by-step explanation:

You need to times 8*4 to get 32 therefore u times 5*4 to get 20

Answer:

B.

Step-by-step explanation:

Plug in those x and y values into your equations.

(x, y) = (5, 1)

2x + 5y = 15

2(5) + 5(1) = 15

10 + 5 = 15

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

This proves those values are true. So the answer is B.

Answer:

a⁴ - 81

Step-by-step explanation:

Identity applied :

(a + b)(a - b) = a² - b²

Simplifying :

answer :

[tex]C=\frac{265}{9}[/tex]

work:

[tex]F=85[/tex] °[tex]C[/tex]

[tex]F= 85[/tex] into [tex]C=\frac{5}{9}(F-32)[/tex]

[tex]C=\frac{5}{9}[/tex] x [tex](85-32)[/tex]

[tex]C=\frac{265}{9}[/tex]

Answer:

0.0109056604

that is the answer, I used a calculator

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

             x-3<9

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

  ✩ First, add 3 on both sides:-

[tex]\it{x < 9+3}[/tex]

Which results in

[tex]\it{x < 12}[/tex]

So the values of x less than 12 will make this inequality true.

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have the quadratic function

[tex]f(x)=-x^2+5[/tex]

This is a vertical parabola open downward

The vertex is a maximum

Remember that

The equation of a vertical parabola in vertex form is equal to

[tex]y=a(x-h)^2+k[/tex]

where

a is a coefficient

(h,k) is the vertex

In this problem

a=-1

(h,k)=(0,5) ----> vertex

The y-intercept is the point (0,5) ---> value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points  --->values of x when the value of y is equal to zero  

using a graphing tool

The graph in the attached figure

Answer:

A on edge

Step-by-step explanation:

i took the test

Answer:

14.14

Step-by-step explanation:

Answer:

The length of the diagonal of the square is about 14.142 feet

Step-by-step explanation:

Step 1:  Determine the length

[tex]P = 4(l)[/tex]

[tex]40\ ft = 4(l)[/tex]

[tex]\frac{40\ ft}{4}=\frac{4(l)}{4}[/tex]

[tex]10\ ft = l[/tex]

Step 2:  Determine the diagonal length

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

a and b are going to be the sides of the square which are both 10 ft so we just plug those in and solve for c

[tex](10)^2 +(10)^2 =c^2[/tex]

[tex]100+100=c^2[/tex]

[tex]\sqrt{200}=\sqrt{c^2}[/tex]

[tex]14.142=c[/tex]

Answer:  The length of the diagonal of the square is about 14.142 feet

Answer:

I believe, 6.

Step-by-step explanation:

Not sure if the rest of the question is the answer choices but the absolute of any number, is it's exact opposite. The reason for this is that an absolute number, or |?| is equal to whatever distance it is from 0. Since adding 1, and subtracting 1, both do such but in opposite directions, the absolute value of both would be 1.

Answer:

true

Step-by-step explanation:

Examples :

180 = 5 × 2² × 3²

Then

The number 180 has perfect square factors which are 2 and 3

Then

The number √180 can be simplified because:

[tex]\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}[/tex]

        [tex]=\sqrt{5\times \left( 2\times 3\right)^{2} }[/tex]

        [tex]=\sqrt{5\times \left( 6\right)^{2} }[/tex]

        [tex]=\sqrt{5} \times \sqrt{6^{2}}[/tex]

        [tex]=6\sqrt{5}[/tex]

On the other hand :

10 = 5 × 2

Then

The number 10 has no perfect square factors

Then

The number √10 cannot be simplified because:

[tex]\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}[/tex]

[tex]\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}[/tex]

Answer:

369.5 ft²

Step-by-step explanation:

Area of figure :

Area (rectangle 1) + Area (rectangle 2) + Area (triangle 1) + Area (triangle 2)

Answer:

369.5 ft²

Step-by-step explanation:

Separate the figure into 2 rectangles and 2 triangles.

(see attached image)

Area 1

Area of a rectangle = width × length

                                 = 4 × 5

                                 = 20 ft²

Area 2

Area of a rectangle = width × length

                                 = 8 × (4 + 4 + 5)

                                 = 8 × 13

                                 = 104 ft²

Area 3

Area of a triangle = 1/2 × base × height

                             = 1/2 × (6 + 4 + 5 + 4 - 6) × 23

                             = 1/2 × 13 × 23

                             = 149.5 ft²

Area 4

Area of a triangle = 1/2 × base × height

                             = 1/2 × 8 × (21 + 8 - 5)

                             = 1/2 × 8 × 24

                             = 96 ft²

Total Area

Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96

                                                        = 369.5 ft²

Answer:

The answer is the first option because 2÷2=1 and 10÷2=5

Answer:

  x = -47.1

  x = -3.35454... (2-digit repeat)

Step-by-step explanation:

Each of the absolute value functions causes the overall behavior of the equation to change where that absolute value function's argument is zero. Those values of x are -7, -5/2, -2/5.

These breakpoints cause the domain of the equation to be divided into 4 parts. A graphing calculator shows us that solutions exist only in the two regions ...

In those regions, the equation simplifies to ...

  2(-(x +2/5)) -2(-(x +7)) = 2/3x +(-(x +5/2))

  x(-2 +2) -4/5 +14 = x(2/3 -1) -5/2 . . . . collect terms

  15.7 = -1/3x . . . . . . add 5/2

  x = -47.1 . . . . . . . multiply by -3

__

  2(-(x +2/5)) -2(x +7) = 2/3x +(-(x +5/2))

  x(-2 -2) -4/5 -14 = x(2/3 -1) -5/2 . . . . collect terms

  (-3 2/3)x = 12.3 . . . . . . . . add 1/3x +14.8

  x = -36.9/11 = -369/110

  x = -3 39/110 ≈ -3.35454... (2-digit repeat)