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Solnce55 [7]
2 years ago
12

(01.02 HC)

Mathematics
1 answer:
olganol [36]2 years ago
3 0

Expressions in these queries are arithmetical statements that may be defined by the operator, and the following discussion could indeed define a minimum of 2 terms containing the numbers or the variables, or both.

Given:

strawberry juice= 0.85 liter

mango juice=0.50 liter

watermelon juice= 0.15 liter

drank Juice= 0.30 liter

To find:

Expression=?

Solution:

In this case, all of them have to be combined.

Thus, \bold{ 0.85 + 0.5 + 0.15 = 1.5} 

therefore, there were 1.5 liters in the jar,

She then drank 0.3 liters, so let's remove 0.3 from 1.5 to give you a 1.2 liter of the jar.

This would be the expression: \bold{( 0.85 + 0.5 + 0.15 ) - 0.3 = 1.2}

Learn more:

brainly.com/question/24467822

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Mkey [24]
The equation looks like this:

26=x*3.5+8.50

where x is the number of pen you bought.

We solve it like this:
first, we subtract 8.50 from both sides:

17.50 =3.5*x

now we divide both sides by 3.5:
5=x

so you purchased 5 pens.

3 0
3 years ago
Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?
Alenkasestr [34]

Answer:

$1.21 he will recieve

Step-by-step explanation:

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3 years ago
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4 (i literally had to think about this cause i thought it was too easy )
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A system of linear equations is graphed on this coordinate grid.
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I think it is B (1,5) because that is where it intersects
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Suppose F⃗ (x,y)=(x+3)i⃗ +(6y+3)j⃗ . Use the fundamental theorem of line integrals to calculate the following.
Scorpion4ik [409]

In order to use the fundamental theorem of line integrals, you need to find a scalar potential function - that is, a scalar function <em>f(x, y)</em> for which

grad <em>f(x, y)</em> = <em>F</em><em>(x, y)</em>

This amounts to solving for <em>f</em> such that

∂<em>f</em>/d<em>x</em> = <em>x</em> + 3

∂<em>f</em>/∂<em>y</em> = 6<em>y</em> + 3

Integrating both sides of the first equation with respect to <em>x</em> gives

<em>f</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + <em>g(y)</em>

Differentiating with respect to <em>y</em> gives

∂<em>f</em>/∂<em>y</em> = d<em>g</em>/d<em>y</em> = 6<em>y</em> + 3

Solving for <em>g</em> gives

<em>g</em> = ∫ (6<em>y</em> + 3) d<em>y</em> = 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

and hence

<em>f(x, y)</em> = 1/2 <em>x</em> ^2 + 3<em>x</em> + 3<em>y</em> ^2 + 3<em>y</em> + <em>C</em>

<em />

(a) By the fundamental theorem, the integral of <em>F</em> along any path starting at the point <em>P</em> (1, 0) and ending at <em>Q</em> (3, 3) is

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (3, 3) - <em>f</em> (1, 0) = 99/2 - 7/2 = 46

(b) Now we're talking about a closed path, so the integral is simply 0. We can verify this by checking the integral over the origin-containing paths:

• From the origin to <em>P</em> :

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (1, 0) - <em>f</em> (0, 0) = 7/2 - 0 = 7/2

• From <em>Q</em> back to the origin:

∫ <em>F</em><em>(x, y)</em> • d<em>r</em> = <em>f</em> (0, 0) - <em>f</em> (3, 3) = 0 - 99/2 = -99/2

Then the total integral is 7/2 + 46 - 99/2 = 0, as expected.

6 0
3 years ago
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