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3 years ago

Express 5.412 hours to the nearest minute

Mathematics

2 answers:

Agata [3.3K]3 years ago

8 0

Answer:323.72

Step-by-step explanation:

Begin by multiplying 60 by 5 hours.

Then 60 minutes by 0.412

uysha [10]3 years ago

5 0

Step-by-step explanation:

$1h = 60min \\ 5.412h = x \\ \\ cross \: \: \: multiple \\ 1x = 60 \times 5.412 \\ 1x = 324.72 \\ \frac{1x}{1} = \frac{324.72}{1} \\ x = 324.72min$

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Need some help with this question!

Veronika [31]

1. solve for x in first to just find nterms of y

x=12-y
sub that for x in other one
first divide that one by 2 to make it easier
2x-y=18
2(12-y)-y=18
24-2y-y=18
24-3y=18
minus 24 both sides
-3y=-6
divide -3
y=2

D is answer

2.
find intersection of x+y=5 and -2x+3y=6
or easiers, just test the intersections
wait, they all intersect in the same place
this is super easy
pick ANY point that is in that reigon and see if it is true

A, if we pick lets say (5,5)
that is false for x+y<5
not A

B
pick (10,0)
false for first one
not B

C
pick (0,0)
true for first
false for 2nd
not C

D. pick (-10,0)
true for first
true for 2nd

answer is D

answer is D for both questions

6 0

3 years ago

The perimeter of a playing field for a certain sport is 300ft. The field is a rectangle, and the length is 48ft longer than the

lara31 [8.8K]

Answer:

Width of the rectangular field = $102 feet$

Step-by-step explanation:

Perimeter of the field= $300feet$

Length of the field= $48 feet$

Width=?

Perimeter of a rectangular field= $2(Length+Width)$

$300= 2(48+Width)\\\\150=48+Width\\\\Width=150-48\\\\Width=102 feet$

The Width of the rectangular field is $102 feet$

4 0

3 years ago

Read 2 more answers

Which symbol correctly compares the two measurementsone pound 16 oz

myrzilka [38]

Answer:

the = symbol

Step-by-step explanation:

there are 16 oz in a pound

7 0

3 years ago

Read 2 more answers

Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

5 0

2 years ago

5700 is compounded semiannually at a rate of 15% for 12 years

Rama09 [41]

Answer:

$32,335.38

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

$P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Now lets plug in the values into the equation:

$5,700(1+\frac{.15}{2})^{12(2)}$ = 32,335.38

Your answer is $32,335.38

4 0

3 years ago