Find f(-11/5) if f(n) = 5n + 6.. A) -17. B) 5. C) -6

Answers

Answer 1

Answer: $f(n)=5n+6\n\nf\left(-(11)/(5)\right)=?\n\nsubtitute\ n=-(11)/(5)\ to\ the\ equation:\n\nf\left(-(11)/(5)\right)=5\cdot\left(-(11)/(5)\right)+6=-11+6=-5$

Answer 2

Answer: f(-11/5)=5(-11/5)+6
f(-11/5) = -11+6
f(-11/5) = -5 so option B is correct

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Write 0.87 as a fraction in simplest form.

Answers

Write the decimal number as a fraction
(over 1)
0.87 = 0.87 / 1

Multiplying by 1 to eliminate 2 decimal places
we multiply top and bottom by 2 10's

Numerator (N)
N = 0.87 × 10 × 10 = 87
Denominator (D)
D = 1 × 10 × 10 = 100

N / D = 87 / 100

Simplifying our fraction

= 87/100

= 87/100

-10/5+2(7-9)^2 this is a question for a chapter one algebra two review and i cant figure it out, can someone help?

Answers

Answer:

your answer is 6

Step-by-step explanation:

well order of operations

first parentheses

-10/5+2(-2)^2

next exponents

-10/5+2(4)

now divide/multiply from left to right

-2+2(4)

-2+8

and lastly add/ subtract from left to right

What are the coordinates of the y-intercept of the line whose equation is LaTeX: 12x+13y=812 x + 13 y = 8? ( , )

Answers

The coordinates of the y-intercept of the line whose equation is

12 x + 13 y = 8 is 8/13.

As given in the question,

Given equation: 12x + 13 y=8

Convert the equation into y-intercept form

General form of y-intercept form is

y=mx + b

Subtract from the equation 12x from both the side of equation,

12x+13y-12x=-12x+8

⇒ 13y=-12x +8

Divide both the side by 13

13y/13= (-12/13)x +8/13

⇒y=(-12/13)x +8/13

To get y-intercept put x=0

y =8/13

Therefore, thecoordinates of the y-intercept of the line whose equation is 12 x + 13 y = 8 is 8/13.

The complete question is :

What are the coordinates of the y-intercept of the line whose equation is

12 x + 13 y = 8 ?

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Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same

Answers

Answer:

h = 1.38 cm

Step-by-step explanation:

The question is at what value is the height of both cylinders the same:

The area of the circular base on each cylinder is:

$Area=\pi r^2\nA=4\pi \ cm^2\nB=25\pi \ cm^2$

The initial volume in cylinder A is:

$V=4\pi *10\nV=40\pi\ cm^3$

We have that Va + Vb = 40π. The height of water in each cylinder as a function of volume is:

$h_A=(V_a)/(4\pi)\nh_B=(V_b)/(25\pi)$

If both heights are the same:

$(V_a)/(4\pi)=(V_b)/(25\pi)\nV_b=(25)/(4)V_a \nV_a+V_b=40\pi\nV_a+(25)/(4)V_a=40\pi\nV_a=5.5172\pi\ cm^3$

The height 'h' is:

$h=(5.5172\pi)/(4\pi)\n h=1.38\ cm$

Final answer:

The question refers to the mathematics of the volume of a cylinder. It involves calculating the initial volume of water in cylinder A, and then determining the volume of water in cylinder B after it has received water from cylinder A.

Explanation:

The subject of the question is related to the mathematical concept of volume, specifically the volume of a cylinder. In this scenario, we are dealing with two cylinders and the volume of water transferred between them.

Firstly, the volume of water in cylinder A initially can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where r is the radius of the base and h is the height. So, for cylinder A with radius 2 cm and height 10 cm, the volume of water initially is V = π(2)²(10) = 40π cm³.

After some water is transferred from cylinder A to cylinder B, the question states that the height of water in both cylinders is the same. It means that the volume of water in cylinder B is now equal to that of a cylinder with radius 5 cm and the same height as cylinder A after the transfer which can also be found by the formula V = πr²h.

Learn more about Volume of cylinder here:

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One plant from the garden is randomly selected. There is a 30% chance that the plant was purchased this year, and there is a 6% chance that the plant was purchased this year and produces berries. What is the probability that the chosen plant does NOT produce berries, given that the plant was purchased this year? Write the probability as a percent. Round to the nearest tenth if needed. ____________%

Answers

Answer and workings in the attachment below. Also, do me one big favour. Let me know if it's the answer your teacher or text book ends up giving you. That would give me some satisfaction.

Answer: 80%

How do you solve this problem using substitution and then check it?:y= -3x-2
2x+5y=16

Answers

You have to get a variable by itself like in here... Y is itself so in the other equation or we can say second one you just have to sub it in... Like

2x+5(-3x-2)=16
2x-15x-10=16
Now you just have to subtract 2 from 15, because of the same variable that is (x)
So -13x-10=16
Take 10 to the other side means add from the both sides, that will get you at
-13x=26
So now x= -2
Remember you added because it was -10 if it would be a positive 10 then you have to subtract it from both of the sides but since here it was negative so you just added them up
Hope i helped

We have the variable y so lets substitute
y=-3x-2
2x+5y=16

2x+5y=16
2x+5(-3x-2)=16
2x-15x-10=16
-13x=26
x=-2

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

2x+5y=16
2(-2)+5(4)=16
-4+20=16
16=16

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