Find three arithmetic means between -2 and 12.

Answers

Answer 1

Answer: $a_1=-2;\ a_2;\ a_3;\ a_4;\ a_5=12\n\na_5-a_1=4d\n\n4d=12-(-2)\n4d=14\ \ \ /:4\nd=3.5\n\na_2=a_1+d\to a_2=-2+3.5=1.5\n\na_3=a_2+d\to a_3=1.5+3.5=5\n\na_4=a_3+d\to a_4=5+3.5=8.5\n\nSolutions:1.5;\ 5\ and\ 8.5$

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Susan wants to buy a paddle boat for $840. She'll pay 20% down and pay the rest in six monthly installments. What will be the amount of each monthly payment?

Answers

136 but there will be remainder

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.1 ft3/s. Initially, the balloon has 5 ft3 of hydrogen. Find a linear function that models the volume of hydrogen in the balloon after t seconds.

Answers

Answer:

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t) = 5 + 0.1t

Step-by-step explanation:

Initial volume of hydrogen in the balloon = 5 ft³

Rate at which hydrogen is filling in the balloon = 0.1 ft³/s

Volume after 1 second = 5 + 0.1 x 1

Volume after 2 seconds = 5 + 0.1 x 2

Volume after 3 seconds = 5 + 0.1 x 3

Volume after 4 seconds = 5 + 0.1 x 4

Volume after 5 seconds = 5 + 0.1 x 5

Similarly

Volume after t seconds, V(t) = 5 + 0.1 x t = 5 + 0.1t

Linear function that models the volume of hydrogen in the balloon after t seconds is V(t)=5 + 0.1t

The range of the function f(x) = x+5 is {7,9}. what is the function's domain?A. {2,4}
B.{-2,-4}
C.{12,14}
D.{-12,-14}
E.{0,5}

Answers

Answer:

Option A is correct

{2, 4} is, the function's domain.

Step-by-step explanation:

Domain is the set of all values of x for which function f(x) is defined.

Range is the set of all complete value of f.

Given the function:

$f(x) = x+5$

The range of the function is {7, 9}

When f(x) = 7

then;

$x+5 = 7$

Subtract 5 from both sides we have;

x = 2

When f(x) = 9

then;

$x+5 =9$

Subtract 5 from both sides we have;

x = 4

⇒Domain = {2, 4}

Therefore, the function's domain is, {2, 4}

A{2,4}.
f(x)= x+5
y=x+5
7=x+5
x=2
---------
y=x+5
9=x+5
x=4

What is the y value of the y-intercept of the line that contains the points (-8,-5) and (10,67)?

Answers

(67)-(-5)<br />-------------= 72/18<br />(10)-(-8) reduce down 72/18=4

Two intersecting lines cannot be both parallel to the same line ?
True or false

Answers

Answer:

true it is true two inter

At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollar sand cents?

Answers

Answer:

$8.96

Step-by-step explanation:

Sorry if its to late

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