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2 years ago

Find the volume of a cube if an edge has length 4rst units

Mathematics

1 answer:

S_A_V [24]2 years ago

5 0

Answer:

Step-by-step explanation:

4 * 4 * 4 = 64

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Find f(2x) when f(x)=3x^2+2x-2

bonufazy [111]

Answer:

$6 {x}^{2} + 4x - 4$

Step-by-step explanation:

$2(3 {x}^{2} + 2x - 2) \\ 6 {x}^{2} + 4x - 4 \\$

5 0

2 years ago

Which is not an equation of the line that passes through the points (1, 1) and (5, 5)?

nydimaria [60]

Answer:

Any equation of the line that is different from y=x is the solution to the problem.

Step-by-step explanation:

step 1

Find the slope of the line that passes through the points (1, 1) and (5, 5)

m=(5-1)/(5-1)=1

step 2

Find the equation of the line into slope point form

y-y1=m(x-x1)

we have m=1

(x1,y1)=(1,1)

substitute

y-1=(1)(x-1)

y=x-1+1

y=x

therefore

Any equation of the line that is different from y=x is the solution to the problem.

5 0

2 years ago

In a standard deck of playing cards, one-fourth of the cards are hearts.

makkiz [27]

Answer:

$\sf D) \quad \dfrac{1}{64}$

Step-by-step explanation:

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Probability of drawing a heart from one deck:

$\sf \implies P(heart)=\dfrac{1}{4}$

Therefore, probability of drawing a heart from each of 3 decks:

$\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}$

7 0

1 year ago

How many millimeters are in 4.3 centimeters? How many centimeters are in 57 millimeters? Approximately how many centimeters are

3241004551 [841]

Answer:

a) 43

b) 5.7

c) 2.54

Step-by-step explanation:

The metric system is so easy to work with, everything is in base of 10, and all measures use a prefix. Here, we're talking about length, with the main measure being the meter.

1 m = 100 centimeters (centi- = 1/100)

1 m = 1000 millimeters (milli- = 1/1000)

So, for each centimeter, you have 10 millimeters.

a) How many millimeters are in 4.3 centimeters?

1 cm = 10 mm as shown above, so 4.3 cm = 43 mm

b) How many centimeters are in 57 millimeters?

10 mm = 1 cm so, 57 mm = 5.7 cm

c) Approximately how many centimeters are in an inch?

There are approximately 2.54 cm in an inch. No real calculation to make here, it's just a unit conversion between systems, done following a known reference table.

8 0

2 years ago

Do the following lengths form a right triangle? (Also how to tell that they do form a right triangle)

ololo11 [35]

Answer: Yes this is a right triangle

We can determine this by using the converse of the pythagorean theorem.

a = 5, b = 12, c = 13

$a^2 + b^2 = c^2\\\\5^2 + 12^2 = 13^2\\\\25 + 144 = 169\\\\169 = 169 \ \ \checkmark\\\\$

Since those a,b,c values work in the pythagorean theorem, this proves we have a right triangle.

4 0

1 year ago