Unobtainium, a solid, has a density of 40 g/cm3. Calculate the volume of a 64.6 g
sample of Unobtainium.
O 0.625 ml
O 1.6 cm3
O 1.6 g/mL
0 0.625 cm3

Answer:

\(\boxed{x=1}\) and \(\boxed{x=7}\)

Step-by-step explanation:

This quadratic is already factored down to its factors (x - 1) and (x - 7).

Set these equal to zero and solve for x by adding 1 or 7 to both sides of the equation.

\(x-1=0\\\\\boxed{x=1}\)

\(x-7=0\\\\\boxed{x=7}\)

Answer: C

Step-by-step explanation:

Y=2x-4

8=2(6)-4

8=12-4

8=8 Correct

Answer:

It is 56,616

Step-by-step explanation:

Answer:

56,616

Step-by-step explanation:

You just type in "56 x 1011" into your calculator and then hit the equal sign and it gives you the answer.

Step-by-step explanation:

the area is the sum of the top square of 9×9 and the bottom parallelogram.

we know the length of the parallelogram is still also the square side length : 9ft.

but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is

baseline × height

and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.

so, the area of the square is

9×9 = 81 ft²

the area of the parallelogram is

9×5 = 45 ft²

the total area is then

81 + 45 = 126 ft²

Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation:

Answer:

-216

Step-by-step explanation:

use the rule bodmas

bracket,othersign, division, multiplication, addition, subtraction

Answer:

X * 0.8 = $64

x = $80

Step-by-step explanation:

The state withholding tax for an unmarried individual whose salary is $525.50 and has 3 exemptions is $14.23

The values on the chart are given as:

14.23 17.56 15.31 16.48

The details about the person are given as:

Name: Randy Lawson

Salary: $525.50

Exemptions: 3

Marital Status: Unmarried

According to the complete chart, the state withholding tax for an unmarried individual whose salary is $525.50 and has 3 exemptions is

$14.23

Hence, the state withholding tax for an unmarried individual whose salary is $525.50 and has 3 exemptions is $14.23

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Answer:

35^67

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Look at two points whose coordinates are easy to read.

I see (0, 2) and (5, 3).

slope = rise/run

You need to go from one point to the other using only vertical and horizontal segments. The rise is the vertical displacement. The run is the horizontal displacement.

Start at (0, 2). To go to (5, 3), first go up 1 unit. 1 unit up is a rise of 1. Now go right 5 units. 5 units to the right is a run of 5 units.

slope = rise/run = 1/5

Answer: 1/5

Answer:

5cm

Step-by-step explanation:

What exactly do you mean by x?

The value of x is 5 cm.

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

Given:

Two sides are 4 cm and 3 cm

Using Pythagoras theorem

x² = 4² + 3²

x² = 16+ 9

x² = 25

x=√25

x= 5 cm

Also, the range of x is in between 1 cm and 7 cm.

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The truth table is shown.

A truth table is a table that displays all possible combinations of input values and their matching output values.

The given statement is (p∨¬q)∧(p∧q).

The truth table is:

p            q            ¬q            p∨¬q            p∧q            (p∨¬q)∧(p∧q)

0            0              1                1                   0                      0

0            1               0               0                  0                       0

1             0              1                1                    0                      0

1             1               0               1                    1                        1

Hence, the truth table for the compound statement (p∨¬q)∧(p∧q) is shown.

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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The value of x and y after solving the equation -5x - 10y = 30 and - 3x + 3y = 27 by elimination method is -6 and 3 respectively.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

-5x - 10y = 30 and - 3x + 3y = 27

Solve by using the elimination method,

Divide the equation - 3x + 3y = 27 by 3 and equation -5x - 10y = 30 by 5 on both sides,

(- 3x + 3y) / 3 = 27 / 3  and (-5x - 10y) / 5 = 30 / 5

-x + y = 9  and -x - 2y = 6

Subtract equation

-x + y = 9 - (-x - 2y = 6)

-x + y - 9 = x - 2y - 6

y = 3

and - x + 3 = 9, x = -6

Therefore, the value of x and y after solving the equation -5x - 10y = 30 and - 3x + 3y = 27 by elimination method is -6 and 3 respectively.

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Step-by-step explanation:

\(G(t) =\displaystyle \int (4 + t + t^2)dt\)

\(\:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C\)

Check:

\(\dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)\)