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olga nikolaevna [1]
2 years ago
14

Generate the first five terms in the sequence using the explicit formula. yn=-5n-6

Mathematics
1 answer:
alexandr402 [8]2 years ago
8 0
Given that n starts from 1,
y₁ = -5(1) - 6 = -11
y₂ = -5(2) - 6 = -16
y₃ = -5(3) - 6 = -21
y₄ = -5(4) - 6 = -26
y₅ = -5(5) - 6 = -31
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3/5t−4−7/10t=−2 what the value of t
Marysya12 [62]
Hello there.

<span>3/5t−4−7/10t=−2

t=-20</span>
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3 years ago
5 of 5
dexar [7]

Answer:

Number of people that can be served 7 ladles = 100 people

Step-by-step explanation:

We are told that;

Initial number of ladles proposed per person = 5

Number of persons to be fed based on 5 ladles = 140 persons

Thus, amount of ladles based on that data is;

140 people x 5 ladle/1 person = 700 ladles full of soup

Now, since the cook decides to give 7 ladles full of soup to each person, the number of people that can be fed will now be;

700 ladles ÷ 7 ladles/person = 100 persons

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3 years ago
The pair of points 6, Y and 10, -1 light on a line with a slope of 1/4 what is the value of Y
andrezito [222]

\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{y})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-y}{10-6}=\stackrel{\stackrel{given}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{-1-y}{4}=\cfrac{1}{4} \\\\\\ 4(-1-y)=4\implies -1-y=\cfrac{4}{4}\implies -1-y=1\implies -2=y

3 0
3 years ago
The volume of a sphere is 2862π m3. What is the surface area of the sphere to the nearest tenth. PLEASE HELP AND QUICK!
coldgirl [10]

Answer:

<h3>A≈974.83</h3><h3>V Volume </h3><h3>2862</h3><h3>Step-by-step explanation:</h3>

<h3>Using the formulas</h3><h3>A=4πr2</h3><h3>V=4</h3><h3>3πr3</h3><h3>Solving forA</h3><h3>A=π⅓(6V)⅔=π⅓·(6·2862)⅔≈974.83372</h3>

<h3>brainliest pls and ur welcome</h3>

5 0
2 years ago
Find the domain of the function algebraically:<br><br> <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D
BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

R(x) = \frac{x}{x^2-x-2}

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

7 0
3 years ago
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