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OLga [1]
2 years ago
7

How many times larger is 3.4 × 10−1 than 3.4 × 10−5?

Mathematics
1 answer:
True [87]2 years ago
4 0
It’s 4 because 3.4 * 10-1 is 33 and 3.4 * 10-5 is 29
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2. Solve the following system. Show all your work. {3x - 2y + 2z = 30 {-x + 3y - 4z = -33 {2x - 4y + 3z = 42
Semmy [17]
From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved. 

<span>3x - 2y + 2z = 30  (1)
</span><span>-x + 3y - 4z = -33  (2)
</span><span>2x - 4y + 3z = 42   (3)

We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33  (2)

3 (3y - 4z + 3)<span> - 2y + 2z = 30  (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42   (3)

We simplify and solve the equations and we get values,

x = 4
y = -7
z = 2
6 0
3 years ago
What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64
marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are 2x+y\geq 8 -------(1)

x+y \geq 6   ------------- (2)

x \geq 0, y \geq 0  -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, 2\times 0+0\geq 8⇒0\geq 8 ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, 0+0\geq 6⇒0\geq 6 ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4),  C= 46

At B≡(6,0),  C= 42

Thus at B, C is minimum, And its minimum value = 42


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3 years ago
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KATRIN_1 [288]
I think the answer is 81
8 0
3 years ago
Jaron paid $2.70 for 6 juice boxes.How much should Jaron expect to pay for 18 juice boxes and how would I show work
bekas [8.4K]
2.7/6=x/18
2.7 x 18 = 6x
48.6 = 6x
8.1= x

Jaron paid $8.10
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3 years ago
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The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two recta
MakcuM [25]

Answer:

6

Step-by-step explanation:

7 0
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