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Zolol [24]
3 years ago
7

Write an expression that equivalent to (7^-8)(7^3)

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0

Answer:

(7^-8)(7^3) = 7^(-8+3) = 7^(-5)

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Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.
Eddi Din [679]
3x - 2y = 5
2y = 3x - 5
y = (3/2) x - 5/2

so the gradient (m)  of the required line = -1 / (3/2) = -2/3

using the general form 

  y - y1 = m(x - x1)  ,                m = -2/3 , x1 = -2 and y1 = 1

 y - 1 = -(2/3) ( x - (-2))


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

y = -(2/3)x  - 1/3 

multiply through by 3

3y = - 2x  - 1 

in standard form its

2x + 3y = -1
3 0
3 years ago
A chocolate manufacturing company produces two types of chocolate: A and B. Ingredients required for manufacturing the products
Karolina [17]

Answer:

The maximum profit is when they make 10 units of A and 2 units of B.

Step-by-step explanation:

Let x is units of milk

Let y units of cacao

Given that :

The company's production plant has a total of 22 units of milk and 46 units of cacao available.

2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)

4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available

Graph the constraint equations and find the point of intersection to determine the feasibility region.

The intersection point (algebraically, or from the graph) is (10, 2)

The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.

Hence, we substitute (10, 2)  into the above function:

6.2*10 + 4.2*2 = 70.4

The maximum profit is when they make 10 units of A and 2 units of B.

3 0
3 years ago
Find the surface area of this triangular prism.<br> 3 cm<br> 5 cm<br> 11 cm<br> 4 cm
blondinia [14]

Step-by-step explanation:

The area of a triangular pyramid is 5 cm.

5 0
3 years ago
Plz help me, plz help deku!?!
DanielleElmas [232]

Answer:

14 cm squared

Step-by-step explanation:

The shaded triangle is clearly half of the rectangle, and half of 28 is 14.

The other way you can look at it is that the dimensions of the rectangle are 4 cm and 7 cm. The area of a triangle equation is \frac{bh}{2}. So \frac{4(7)}{2} is 14.

7 0
3 years ago
C=100+25h solve for h
aivan3 [116]

Answer:

h=(c/25)-4

Step-by-step explanation:

c-100 = 25h.   "/25"

(c/25)-4 = h

7 0
3 years ago
Read 2 more answers
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