What is the median, first quartile third quartile and interquartile of 38 46 55 56 558 59 61 65 67 75

Answer:

Vertex = (1.4375, 37.0625)

Axis of symmetry:  t = 1.4375

x-intercept: (2.9595, 0)

y-intercept: (0, 4)

another point: (2, 32)

Step-by-step explanation:

Given function:  [tex]h(t)=-16t^2+46t+4[/tex]

(where h is the height in feet and t is the time in seconds)

The vertex is the turning point of the parabola.

To find the x-value of the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+46[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies -32t+46=0[/tex]

Solve for t:

[tex]\implies 32t=46[/tex]

[tex]\implies t=\dfrac{23}{16}[/tex]

Input found value of t into the function to find the y-value of the vertex:

[tex]\implies h(\frac{23}{16})=-16(\frac{23}{16})^2+46(\frac{23}{16})+4=\dfrac{593}{16}[/tex]

Therefore, the vertex is [tex]\left(\dfrac{23}{16},\dfrac{593}{16}\right)[/tex] or (1.4375, 37.0625) in decimal form.

The axis of symmetry is the x-value of the vertex.

[tex]\implies \textsf{Axis\:of\:Symmetry}:t=\dfrac{23}{16}=1.4375[/tex]

To find the x-intercepts, use the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\implies t=\dfrac{-46 \pm \sqrt{46^2-4(-16)(4)} }{2(-16)}[/tex]

[tex]\implies t=\dfrac{-46 \pm \sqrt{2372}}{-32}[/tex]

[tex]\implies t=\dfrac{23 \pm \sqrt{593}}{16}[/tex]

As time is positive,

[tex]\implies t=\dfrac{23 + \sqrt{593}}{16}=2.959474458...\:\sf s\quad only[/tex]

The y-intercept is when t = 0:

[tex]h(0)=-16(0)^2+46(0)+4=4[/tex]

So the curve intercepts the y-axis at (0, 4)

Because of the modelling of the function, there will be a restricted domain:  0 ≤ t ≤ 2.9595

Therefore, to find another point, input a value in the domain into the function and solve:

[tex]t=2 \implies h(2)=-16(2)^2+46(2)+4=32[/tex]

⇒ (2, 32)

Answer: 1046.48cm

Step-by-step explanation: Multiplying by 2.54 To convert

Answer

not to sure but i think its number 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Use the Intersecting Chords Theorem...

Answer:

c

Step-by-step explanation:

Answer:

its C bro i dont copy her/he

dont be suspiciousful

Step-by-step explanation:

ita right mark me as brainlest

Isolate the absolute-value term:

2 |3x - 5| - 4 = 12

2 |3x - 5| = 8

|3x - 5| = 4

Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]

We consider two cases:

• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to

3x - 5 = 4

3x = 9

x = 3

• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence

-3x + 5 = 4

-3x = -1

x = 1/3

1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember  correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage

Considering a quadratic equation, it is found that:

Considering the height in feet, it is given by:

h(t) = -4.9t² + v(0)t + h(0)

In which:

In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:

h(t) = -4.9t² + 16t + 6

Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:

[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]

The maximum height of the volleyball is of 19.06 feet.

It hits the ground at the roots, hence:

The solutions are:

[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]

[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]

Time is a positive measure, hence:

The volleyball will hit the ground after 3.6 seconds.

More can be learned about quadratic equations at https://brainly.com/question/24737967

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= 4 × 10^2

= 6 × 10^3

= 2 × 10^6

= 4 × 10^-1

( to find the standard form just count the zeros. )

a)= 4×10^2

b)= 6×10^3

c)= 2×10^6

d)= 4×10^-1

hope this helps

Hey there!

2x + 3x = 20 + x

5x = 20 + x

20 + x = 5x

SUBTRACT x to BOTH SIDES

5x - x = 20x + x - x

5x - 1x = 20x + 1x - 1x

SIMPLIFY IT!
4x = 20

DIVIDE 4 to BOTH SIDES

4x/4 = 20/4

SIMPLIFY IT!
x = 20/4

x = 5

Therefore, your answer is: x = 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Part 1:

A. Correct

B. Correct

Part 2:

A. Correct

C. Correct

Answer:

I got 100 % on the quiz

Step-by-step explanation:

check the photo below for the awnser

Step-by-step explanation:

A+B+C=180° (Sum of angles in a triangle)

A+44°+119°=180

A+163°=180°

A=17°

Using Sine Rule

a/Sin A=c/Sin C

Subtitute the value of A, c and C into the formula

a/Sin 17°=15/Sin 119°

Cross Multiply

a=15Sin17°/Sin119°

a=5.01 (2 d.p)

Answer: 960^3 cm or 960 cubic centimeters

Step-by-step explanation:

Cubic because measuring 3 dimensions.

32x45 = area of given face

32x45= 1440

height of water = 10 cm

so,

area of given face x 10 =

32x45x10 or lxwxh (Volume)

so

1440x10= 14,400

1440x8= 11,520

so 14,400 - 11,520 = 2880

V of three plants = 2880

so, 2880/3 = volume of one plant

2880/3=960

V of singe plant = 960 units ^ 3

The difference in volumes represents the total volume of three plants, so answer should be divided by 3.

Hope This Helped!

Answer:  one plastic water plant volume =  960 cm³

Step-by-step explanation:

Total volume = Water Volume + 3 plants volume

Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³

Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³

3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³

1 Plant volume = 2,880 cm³ : 3 = 960 cm³

Answer:

7:10 or 7:20

Step-by-step explanation:

it allows time for the doors to open and time to get to class

Answer:

x=19

Step-by-step explanation:

9x-17

(9*19)-17

=95

5*19=95

if you put 19 in x you will get the same degree

Use the distributive property:

5(x + y) becomes 5x + 5y

with the information provided in the question that is as much as can be done.

answer: 5x + 5y

Answer:

16 feet

Step-by-Step Explanation:

If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.

Answer:

the surface are is 34.64

Step-by-step explanation:

Answer:

r=20

d=40

40*3.14=125.6

circumference = 125.6

Step-by-step explanation:

Answer:$10.88

Step-by-step explanation:

36/100 ×8= 2.88

Selling price is 8+2.88

The graph of the function f(x) = –x^2 – 4x +2 are true options 1 and 4 are correct.

We have the given,

The graph of the function f(x) = –x^2 – 4x+ 2

The statements that agree with the graph of the equation are as follows:

1. The domain is {x|x ≤ –2}.

The set of points at which function is defined.

4. The function is decreasing over the interval (−4, ∞).

From the given graph,

We can say that the above statements are true.

To learn more about graphical functions visit:

https://brainly.com/question/4025726

Answer:

yes

Step-by-step explanation:

We can conclude from the slope intercept result, the equation with no x-intercept is  C) y=0x + 3,    D) y=0,    E) y=5

In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis.

Because it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line intersects the y-axis.

The x-intercept of an equation is the point at which the equation's graph intersects the x-axis. When the value of y is zero, something happens. As a result, an equation lacks an x-intercept horizontal line that does not intersect the x-axis.

C) y=0x + 3 (A horizontal line with a y-intercept of 3 that does not cross the x-axis.)

D) y=0 (This is a horizontal line that passes through the origin but does not intersect the x-axis.)

E) y=5 (This is a horizontal line that passes through (0,5) but does not cross the x-axis.)

F) y=3x+0 (This is a straight line travelling through the origin and does cross the x-axis) (This is a straight line passing through the origin and does cross the x-axis)

To know more about slope intercept visit:

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Answer:

C and E

Step-by-step explanation:

because i did the assignment and got it right

Answer:

Step-by-step explanation:

[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]

Change the division of the two fractions in to multiplication

[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]

Factor what we can

[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]

Cross multiply and simplify (x+8)/(x+8)

(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)

Now we look to see what values for m, n, p, and q will give those factors.

m= 1 n= 2 p= 3 q= 4

(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌

m= 1 n= -6 p= -6 q= 9

(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅

m= -5 n= 6 p= 0 q= -9

(x² -5x +6) (x² -9)  = (x-3)(x-2)(x-3)(x+3)✅

m= 7 n= -4 p= 2 q= 0

(x² +7x -4) (x² +2x)  ≠ (x-3)(x-2)(x-3)(x+3)❌

m= 3 n= -6 p= 1 q= 7

(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌

m= -6 n= 9 p= 1 q= -6

(x² -6x +9) (x² +x -6) =  (x-3)(x-3)(x-2)(x+3)✅

m= 0 n= -9 p= -5 q= 6

(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌

Answer:

simple interest=Principal +Time+Rate÷100

Interest=3000+3+5÷100=3005.03

interest=3005.03

Answer:

x = 4

Step-by-step explanation:

When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:

[tex] log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) [/tex]

When you add logarithms, it is equivalent to multiplying their arguments:

[tex]log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) [/tex]

Since both sides are log base 4, the arguments must equal each other:

[tex] {x}^{3} = 64[/tex]

[tex]x = \sqrt[3]{64} = 4[/tex]

here it is, this is ur answer x=4

Answer:

Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:

1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,

255/360

Simplify

5/8
1B Radians

In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,

225 x pi/180

Simplify

5pi/4 radians

Answer:

144

Step-by-step explanation:

-12 * -12 = 144

12² =144

but the question was not 12², but -12²

so the answer is -144

if the exercise was between (), so writen like this (-12)²

then you would need to do the - to the power of 2 as well