2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?

A publisher wants to figure out how thick their new book will be. The book has a front cover and a back cover, each of which hav

denpristay [2]

Answer:

1in. x 2 + 1in. = 3in.

Step-by-step explanation:

5 0

3 years ago

5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).

Anon25 [30]

Answer:

The following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$1$

$3x\:+\:-y\:=\:24$

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

$f(x)=mx+b$

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) $y^2=\:5x\:+2$

$y^2=\:5x\:+2$ is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) $2x\:+\:4\:=\:3x\:-\:8$

$2x\:+\:4\:=\:3x\:-\:8$

$x=12$

This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1

3) $y = 3x - 2$

$y = 3x - 2$ is a linear function because it is of the form $f(x)=mx+b$ and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) $y\:+\:x^2\:=\:12$

$y\:+\:x^2\:=\:12$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) $y\:=\:x^2\:+\:2x$

$y\:=\:x^2\:+\:2x$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) $1$

$1$ is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree $0$ or is the $0$ polynomial.

7) $3x\:+\:-y\:=\:24$

$3x\:+\:-y\:=\:24$ is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a summary, the following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$1$

$3x\:+\:-y\:=\:24$

7 0

3 years ago

The fastest growing plant on record is the hesperoyucca whipplei. suppose a plant of this type grows 3.6 m in 14 days. what is i

tatyana61 [14]

To get the speed of growth of plant we proceed as follows;
rate=(distance)/(time taken)
distance( length) of growth of the plant in 14 days is 3.6 m.
1 day=86400 sec
14 days=86400x14=1,209,600 sec

1 m=1000000 micrometer
3.6 m=3600000 micrometer
thus the rate of growth will be:
3600000/1209600
=2.9762 micrometers per second

8 0

3 years ago

Use the squared identities to simplify 2sin^2xcos^2x

Rainbow [258]

$\bf sin^2({{ \theta}})=\cfrac{1-cos(2{{ \theta}})}{2}\qquad \qquad 

cos^2({{ \theta}})=\cfrac{1+cos(2{{ \theta}})}{2}\\
-----------------------------\\
thus
\\\\
2sin^2(x)cos^2(x)\implies \boxed{2}\cdot \cfrac{1-cos(2{{ x}})}{\boxed{2}}\cdot \cfrac{1+cos(2{{ x}})}{2}
\\\\
\cfrac{1-cos(2{{ x}})}{1}\cdot \cfrac{1+cos(2{{ x}})}{2}\implies 
\cfrac{[1-cos(2x)][1+cos(2x)]}{2}\\
-----------------------------\\
\textit{now recall}\implies \textit{difference of squares}
\\ \quad \\
$

$\bf (a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\
-----------------------------\\
thus
\\\\
\cfrac{[1-cos(2x)][1+cos(2x)]}{2}\implies \cfrac{1^2-cos^2(x)}{2}
\\\\
 \cfrac{1-cos^2(x)}{2}\impliedby 
\begin{array}{llll}
\textit{pretty sure you know what that numerator is}\\
\textit{check your pythagorean identities}
\end{array}$

7 0

3 years ago

Read 2 more answers

You want to deliver a package to japan.the fed ex delivery service charges a $15 flat fee plus $2 per additional kilogram. You c

Blababa [14]

Depending on how heavy the package is, you should take the Fed Ex if the package is heavy, and the UPS for something that is small

7 0

3 years ago

2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?​

2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?