What is the standard form of 5.09 x 10^4? (To the fourth power)

Mason takes his pulse. He counts 48 beats in 2/3 minute. Mason goes on a bike ride and takes his pulse again. Now he counts 81 b

Kazeer [188]

Answer:

Therefore, beats per minute did increase for 36.

Step-by-step explanation:

48: 2/3=x:1

48=2/3 × x

x=3/2×48

x=72

81:3/4=x:1

81=x×3/4

x=4/3×81

x=108

Therefore, beats per minute did increase for 36.

5 0

2 years ago

The function g(x) is graphed.

sergejj [24]

g(1)=-1 : We need to check values of function for x=1. From the graph, we can see, for x=1 the value of y is 1.

So, g(1)=-1 is false.

g(0)=0 : We need to check values of function for x=0. From the graph, we can see, for x=0 the value of y is 0.

So, g(0) =0 is true.

g(4)=-2 :We need to check values of function for x=4. From the graph, we can see, for x=4 the value of y is going up but it's not equal to -2.

So, g(4)=-2 is false.

g(1)=1 :We need to check values of function for x=1. From the graph, we can see, for x=1 the value of y is 1.

So, g(1) =1 is true.

g(-1)=1 :We need to check values of function for x=-1. From the graph, we can see, for x=-1 the value of y is 1.

So, g(-1)=1 is true.

g(4)=2 :We need to check values of function for x=4. From the graph, we can see, for x=4 the value of y is going up but it's not equal to 2.

So, g(4)=2 is false.

3 0

2 years ago

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 85

insens350 [35]

First, "boxes of two sizes" means we can assign variables: Let x = number of large boxes y = number of small boxes "There are 115 boxes in all" means x + y = 115 [eq1] Now, the pounds for each kind of box is: (pounds per box)*(number of boxes) So, pounds for large boxes + pounds for small boxes = 4125 pounds "the truck is carrying a total of 4125 pounds in boxes" (50)*(x) + (25)*(y) = 4125 [eq2] It is important to find two equations so we can solve for two variables. Solve for one of the variables in eq1 then replace (substitute) the expression for that variable in eq2. Let's solve for x: x = 115 - y [from eq1] 50(115-y) + 25y = 4125 [from eq2] 5750 - 50y + 25y = 4125 [distribute] 5750 - 25y = 4125 -25y = -1625 y = 65 [divide both sides by (-25)] There are 65 small boxes. Put that value into either equation (now, which is easier?) to solve for x: x = 115 - y x = 115 - 65 x = 50 There are 50 large boxes.

3 0

2 years ago

I need help with this

Kruka [31]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$