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2 years ago

Which statement is correct?

Mathematics

1 answer:

vampirchik [111]2 years ago

8 0

Answer:

Block B has the greatest density.

Step-by-step explanation:

density = mass/volume

volume = length × width × height

All blacks have the dimensions 7 cm by 3 cm by 1 cm, so the 3 volumes are equal.

Since density = mass/volume, and the volumes are equal, the block with the highest mass has the highest density.

Since all the masses are different, all densities are different.

Answer: Block B

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Which ordered pair is a solution of the equation? y=3x+5 A:(2,11) B:(3,13) C: Neither D: Both

FinnZ [79.3K]

Answer:

A: (2, 11).

Step-by-step explanation:

For an ordered pair to be a solution of an equation, the ordered pair must "fit".

A: (2, 11).

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, (2, 11) is a solution.

B: (3, 13).

13 = 3(3) + 5

13 = 9 + 5

13 = 14

Since 13 is not the same thing as 14, (3, 13) is not a solution.

Since A works but B doesn't, choices C and D are both eliminated. A is your answer.

Hope this helps!

7 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

ZanzabumX [31]

Answer:

shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

Step-by-step explanation:

Given: The quadratic equation

We have to show the correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

The standard form of quadratic equation is then the solution of quadratic equation using quadratic formula is given as

Consider the given quadratic equation

Comparing with general quadratic equation, we have

a = -3 , b = -2 , c = 6

Substitute in quadratic formula, we get,

Simplify, we have,

Thus, and x_{2}=\frac{2-\sqrt{76} }{-6}

Simplify, we get,

Thus, shows correct substitution of the values a, b, and c from the given quadratic equation into quadratic formula.

3 0

3 years ago

A farmer in China discovers a mammal hide that contains 37% of its original amount of C-14. Find the age of the mammal hide to t

Naya [18.7K]

Answer: 54678 years

Step-by-step explanation:

This can be solved by the following equation:

$N_{t}=N_{o}e^{-\lambda t}$ (1)

Where:

$N_{t}=54\%=0.54$ is the quantity of atoms of carbon-14 left after time $t$

$N_{o}=1$ is the initial quantity of atoms of C-14 in the mammal hide

$\lambda$ is the rate constant for carbon-14 radioactive decay

$t$ is the time elapsed

On the other hand, $\lambda$ has a relation with the half life $h$ of the C-14, which is $5730 years$ :

$\lambda=\frac{ln(2)}{h}=\frac{ln(2)}{5730 years}=1.21(10)^{-4} years^{-1}=0.000121 years^{-1}$ (2)

Substituting (2) in (1):

$0.54=1e^{-(0.000121 years^{-1}) t}$ (3)

Applying natural logarithm on both sides of the equation:

$ln(0.54)=ln(1e^{-(0.000121 years^{-1}) t})$ (4)

$-0.616=-(0.000121 years^{-1}) t$ (5)

Isolating $t$ :

$t=\frac{-0.616}{-0.000121 years^{-1}}$ (6)

$t=54677.68 years \approx 54678 years$ (7) This is the age of the mammal hide

8 0

3 years ago

A line is drawn on a coordinate grid by the equation x = 6. Which of the following lines would represent a row parallel to it?

elena-14-01-66 [18.8K]

Answer:

D, x = 3

Step-by-step explanation:

to know if a line is parallel, we need to know what kind of line x = 6 is

we can use the mnemonic VUX/HOY to determine the slope, the type of line, and which axis it corresponds to. VUX/HOY stands for:

Vertical line

Undefined slope

X axis

Horizontal line

0 is the slope

Y axis

according to this, the equation x = 6 is a vertical line

now we can start eliminating answer choices

A. a line containing the point (6,2)

the point lies on the line x = 6, as the x-coordinate in the ordered pair is 6. this is not parallel to the line

B. y = 6

this intersects x = 6 and is not parallel

C. y = 4

this intersects x = 6 as well and is not parallel

D. x = 3

this leaves us with x = 3, which is a vertical line as seen by the equation and therefore x = 3 is our answer

5 0

4 years ago

PLEASE HELP IN IMAGE nonsense will be reported

Degger [83]

The answer is -2. The line is going from left to right which makes it negative. Then if you look at the line and do change in y(rise) over change in x(run).

8 0

3 years ago