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kipiarov [429]
3 years ago
9

Janet has $120. If she saves $20 per week, in how many days will she have $500

Mathematics
2 answers:
liraira [26]3 years ago
7 0
It will take her 19 days to reach her goal of 500 dollars.
Burka [1]3 years ago
4 0
<span>Divide $380 by 20 and then multiply the result by 7. Its really not hard I promise I basically just gave you the answer</span>
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(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.
valentinak56 [21]

Find the intersection of the two planes. Do this by solving for <em>z</em> in terms of <em>x</em> and <em>y </em>; then solve for <em>y</em> in terms of <em>x</em> ; then again for <em>z</em> but only in terms of <em>x</em>.

-4<em>x</em> + 2<em>y</em> - <em>z</em> = 1   ==>   <em>z</em> = -4<em>x</em> + 2<em>y</em> - 1

3<em>x</em> - 2<em>y</em> + 2<em>z</em> = 1   ==>   <em>z</em> = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -4<em>x</em> + 2<em>y</em> - 1 = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -8<em>x</em> + 4<em>y</em> - 2 = 1 - 3<em>x</em> + 2<em>y</em>

==>   -5<em>x</em> + 2<em>y</em> = 3

==>   <em>y</em> = (3 + 5<em>x</em>)/2

==>   <em>z</em> = -4<em>x</em> + 2 (3 + 5<em>x</em>)/2 - 1 = <em>x</em> + 2

So if we take <em>x</em> = <em>t</em>, the line of intersection is parameterized by

<em>r</em><em>(t)</em> = ⟨<em>t</em>, (3 + 5<em>t</em> )/2, 2 + <em>t</em>⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

(a) The tangent vector to <em>r</em><em>(t)</em> is parallel to this line, so you can use

<em>v</em> = d<em>r</em>/d<em>t</em> = d/d<em>t</em> ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in <em>x</em> = -1, <em>y</em> = 1, and <em>z</em> = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

3 0
3 years ago
A number divided by -3 is -5 what is the number
olga55 [171]

Answer:

+15

Step-by-step explanation:

Let No be x

X÷-(3)=-5

X=+15

Law (-ve times -ve=+ve)

6 0
3 years ago
How do you use the order of operations to solve this problem:
Delicious77 [7]
First you do “Parenthesis”. So add to get 11. Next you do “Multiplication”. So multiply 7 and 11 to get 77. Last you do “Subtraction”. Final answer is 73.
7 0
3 years ago
Yall I need help. Plz Help Me. PLZZZZZZ
Fiesta28 [93]

Answer:

Step-by-step explanation:

Pythagorean theorem,

hypotenuse²= base² + altitude²

base² = hypotenuse² - altitude²

x² = 14² - 9²

   = 196 - 81

    = 115

x = √115

x = 10.72

6 0
2 years ago
What is the value of log279?
Vanyuwa [196]

Answer:

2.44

Step-by-step explanation:

please give me brainliest and a thank you

8 0
3 years ago
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