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3 years ago

Which expression is equivalent to 1−2/3^−3 ?

Mathematics

1 answer:

HACTEHA [7]3 years ago

8 0

Answer:

=-19/8

Step-by-step explanation:

1-(2/3)^{-3}=1-(3/2)^3=

1-27/8=(8-27)/8=

=-19/8

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3.20 × 105 gallons of tar (SG = 1.20) is stored in a 20.0-ft tall storage tank. What is the total mass of the liquid in the tank

lilavasa [31]

Answer:

Mass of the liquid in the tank will be $1.45\times 10^8kg$

Step-by-step explanation:

We have given volume of tar $V=3.20\times 10^5gallon$

1 gallon = 3.785 liter

So $3.20\times 10^5gallon=3.20\times 10^{5}\times 3.785=12.112\times 10^5liter$

Specific gravity = 1.2

Density of water $=1000kg/m^3$

We know that specific gravity $=\frac{density\ of\ liquid}{density\ of\ water}$

$1.2=\frac{density\ of\ liquid}{density\ of\ water}$

Density of liquid $=1200kg/m^3$

So mass of liquid = volume × density

= $12.112\times 10^5\times 1200=1.45\times 10^8kg$

So mass of the liquid in the tank will be $1.45\times 10^8kg$

6 0

3 years ago

write the equation of the line that passes through the points (-4,4) and (6,9) and figure out what y=mx+b for this equation woul

jeka57 [31]

Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:

9 - 4 / 6 - (-4)

Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:

4 = (1/2)(-4) + b

Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.

6 0

3 years ago

5. If W(-10, 4), X(-3,-1), and Y(-5, 11) classify AWXY by its sides. Show all work to justify your

Ierofanga [76]

Answer:

an isosceles right triangle

Step-by-step explanation:

The square of the length of a side can be found from the distance formula:

d^2 = (x2-x1)^2 +(y2-y1)^2

The square of the length of WX is ...

WX^2 = (-3-(-10))^2 +(-1-4)^2 = 49+25 = 74

The square of the length of XY is ...

XY^2 = (-5-(-3))^2 +(11-(-1))^2 = 4 +144 = 148

The square of the length of YW is ...

YW^2 = (-10-(-5))^2 +(4 -11)^2 = 25 +49 = 74

The sum of the squares of the short sides is equal to the square of the long side, so this is a right triangle. The squares of the short sides are equal, so this is an isosceles right triangle.

3 0

3 years ago

the function t(x)=4x+3 determines how many cans of hot sauce a food truck needed to stock on board where x is the number of shif

castortr0y [4]

First we need to calculate t(4) because x=4 for 4 shifts.
t(4) = 4*4 +3 = 19
Now because function "c" is declared as c(t(x)) for value x=4 we are searching c(19)! because t(4) = 19

c(19) = 2*19 + 5 = 43.

Answer is 43

7 0

3 years ago

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THIS IS FUNNY

yaroslaw [1]

Answer:

thats funny lol :)

Step-by-step explanation:

8 0

2 years ago