The median of the data set is?

Answer:

see explanation

Step-by-step explanation:

If (x - 1) is a factor then f(1) = 0

Given

f(x) = x³ - 13x² + 32x - 20 , then

f(1) = 1³ - 13(1)² + 32(1) - 20

     = 1 - 13 + 32 - 20

     = 0

Since f(1) = 0 then (x - 1) is a factor

Using Synthetic division

 1  | 1  - 13   32   - 20

      ↓    1   - 12      20    

     -----------------------------

      1    - 12   20     0 ← remainder

quotient = x² - 12x + 20 = (x - 2)(x - 10)

Then

x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form

Answer:

answer is 5 cm

Hope i helped have a nice day :)

Answer:

74059.3 J

Step-by-step explanation:

KE = I/2mv²

KE = 1/2(1200)(11.11)²

KE = 1/2(1200)(123.4321)

KE = 74059.26 J

Answer

74059.26J

Explanation

Formula

EK=mv^/2

m=1200kg

v=11.11m/s

E=1200kg×(11.11m/s)^/2

E=74059.26J

Answer:

y = -1/2x - 3 1/2    exact fractions

y = -0.5x - 3.5     exact decimals

Step-by-step explanation:

From the two points indicated on the graph

rise goes from -4  to -5 = -1

run goes from 1 to 3 = 2

m = slope = rise/run = -1/2

slope intercept form is

y = mx+b

to find "b" use either point

using (1, -4)

-4 = (-1/2)(1) + b

-4 = -1/2 + b

Add 1/2 to both sides

-3 1/2 = b

The equation is

y = -1/2x - 3 1/2     exact fractions

y = -0.5x - 3.5     exact decimals

Answer: Its B

Explanation: took the quiz

[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]= {24}^{ \frac{1}{3} } [/tex]

[tex] = \sqrt[3]{24} [/tex]

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

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

[tex] = 2\sqrt[3]{3} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

1.) 88cm

2.) 3

3.)104

Step-by-step explanation:

1) circumference= 2πr

2×22/7×14 = 88cm

Answer:

Barrow

Littlefork

Chicago

Topeka

Boston

Step-by-step explanation:

Freezing point is 0° while boiling point is 100°

Temperatures below  0° are very cold and temperatures greater than  0° are warmer compared to temperatures  below  0°

The coldest would be barrow

the next is Littlefork

Then Chicago and Topeka and Boston

Answer:

BarrowLittleforkChicagoTopekaBoston

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

Answer:

     I personally think there's a low chance of going to school on a Saturday since the only reason that I have in mind is that the student needed help catching up and completing their work. Another reason a student may go to school on a Saturday is because they're part of student senate/student council and they're planning for something there.

Hope I helped :)

Answer:

32ft

Step-by-step explanation:

Tan = opp/adj

Tan(65) = n / 15

Tan(65) x 15 = n

n = 32.16 = 32ft

Answer:

32 feet

Step-by-step explanation:

Hi there!

We are given a right triangle and the angle of elevation (one of the acute angles in the triangle) as 65°, as well as one of the legs (sides that make up the right triangle) as 15

We need to find the height of the triangle.

Let's make the height of the triangle (the side we need to find) x

Since we need to find the height of the triangle, let's use tangent. As we have the angle of elevation given, we'll use that.

Recall that tangent is [tex]\frac{opposite}{adjacent}[/tex]

in reference to the angle of elevation, the opposite side is x, and the adjacent side is 15

that means that:

tan(65)=[tex]\frac{x}{15}[/tex]

plug tan(65) into your calculator (make sure it's on degree mode!)

tan(65)≈2.14

2.14=[tex]\frac{x}{15}[/tex]

multiply both sides by 15 to clear the fraction

32.1=x

The problem asks us to round to the nearest foot, so the height of the building is 32 feet

Hope this helps! :)

Answer:

[tex]a_{n}[/tex] = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 13 - 6 = 7 and d = 6 , then

[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

Answer:

the first few terms would be

7, 13, 19, 25, 31

nth term = 7 + 6(n+1)

nth term = 7+ 6n + 6

nth term = 6n + 13

Answer:

Option B

Step-by-step explanation:

By applying the converse theorem of corresponding angles,

"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"

Angle between line B and Y = 90°

Angle between line B and Z = 90°

Therefore, corresponding angles are equal.

By applying converse theorem, line Y and line Z will be parallel.

Option B will be the answer.

Answer: None because i dont like cans of paint

Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint

Answer:

8

Step-by-step explanation:

Let's say that the amount of lollipops Lydia buys is represented by x and the number of candy bars is represented by y. For each x, Lydia spends 0.50, and for each y, Lydia spends 1.50. This means that the total amount she spends can be represented by the equation 0.50*x+1.50*y. Our equation is then 0.50*x+1.50*y=15

Using our equation, we can plug 6 in for x, resulting in 0.50*6+1.50*y=15, so [tex]0.50x+1.50y=15\\0.5(6)+1.50y=15\\3+1.50y=15\\1.50y=12\\y=8[/tex]

In this set of equations, we plugged 6 in, multiplied it out, then subtracted 3 from both sides, and finally divided both sides by 1.50 to get 8 as our answer.

Answer:

The width is [tex]82m[/tex]

Step-by-step explanation:

------------------------------>>>>

The formula to find the area of a rectangle is [tex]A=lw[/tex]

We already know the area of the rectangular field which is [tex]7626m[/tex]

We already know the length is [tex]93m[/tex]

--------------->>>>

Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.

[tex]7626=93w[/tex]

Divide both sides by 93 because that's the opposite of multiplication.

[tex]82=w[/tex]

--------------->>>>

This means that the width of the rectangular field is [tex]82m[/tex]

Hope this is helpful

Answer:

You're right...

Step-by-step explanation:

(4-5)-(13-18+2)

(-1)-(-3)

-1+3

2

Answer:

28 answer write ✍️ now ok

Answer:

6/9 and 4/6

Step-by-step explanation:

Double and Triple the number

Answer:

0.1, 0.2, 1/2

Answer:

0.1<0.2<0.5(1/2)

hope it helps

have a nice day

Answe$12.15

Step-by-step explanation:

She paid 60% of the price...

x + .6x = 32.40

1.6x = 32.40

x=20.25

20.25 * .60 = 12.15

Answer:

0.25×5=0.125

0.125×0.5=0.0625

0.0625×0.5=0.03125

the multiplicative rate of chage of the function is 0.5

Answer:

Step-by-step explanation:

The letter c

Answer:

11

Step-by-step explanation:

55/11=5

The Torque function is T(t) = 3sin((t-5)π/30).

When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.

Given:

After 5 minutes Thomas ties it on, the torque is zero and increasing.

So, the sine function is shifted right 5 minutes.

and, The maximum value is 3.

Then, the multiplier of the sine function as the period is 60 minutes

Then, the coefficient of t = (2π/60)

                                         = π/30.

Hence, the Torque function is T(t) = 3sin((t-5)π/30).

Learn more about Torque here:

https://brainly.com/question/25708791

#SPJ5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]8(y-2)[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.

8y-16=32

8y=48

y=6

Answer:

11/1//11/1

Step-by-step explanation: