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SpyIntel [72]
3 years ago
12

If the Volume of a rectangular prism is 720 what is the width

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:

The width of the rectangular prism is 9 cm.

Step-by-step explanation:

From the formula of the volume of a bar V=whl we see that w=\frac{V}{hl}=\frac{720}{8\cdot 10} = 9 cm.

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Box со
Levart [38]

Answer:

The man has 6 GHc20.00 notes and 4 GHc10.00 left

Step-by-step explanation:

Given

Amount = 3 GH¢50.00, 7  GH¢20.00 and 5 GH¢10.00

Spendings = GH¢80,00

Required

Determine how many GH¢20.00 and  GH¢10.00 notes left

The amount he has can be represented as:

Amount = 3 * GHc50.00 + 7 * GHc20.00 + 5 * GHc10.00

Spendings = GHc80.00

This can be represented as:

Spendings = GHc50.00+GHc20.00+GHc10.00

Represent:

GHc50.00 with x, GHc20.00 with y and GHc10.00 with z

So, we have:

Amount = 3 * GHc50.00 + 7 * GHc20.00 + 5 * GHc10.00

Amount = 3 *x + 7*y + 5*z

Amount = 3x + 7y + 5z

Spendings = GHc50.00+GHc20.00+GHc10.00

Spendings =x+y+z

Subtract the spendings from the total to get amount left

Amount\ Left= 3x + 7y +5z - (x+y+z)

Amount\ Left= 3x + 7y +5z - x-y-z

Collect Like Terms

Amount\ Left= 3x-x + 7y-y +5z-z

Amount\ Left= 2x + 6y +4z

Recall that, we have represented:

GHc50.00 with x, GHc20.00 with y and GHc10.00 with z

<em>This means that, the man has 6 GHc20.00 notes and 4 GHc10.00 left</em>

7 0
3 years ago
What is the solution to this system of linear equations? 7x – 2y = –6 8x y = 3 (–6, 3) (0, 3) (1, –5) (15, –1)
erik [133]

Answer:

(0,3)

Step-by-step explanation:

we have

7x-2y=-6 ----> equation A

8x+y=3 ----> equation B

Multiply the equation B by 2 both sides

2(8x+y)=2*3

16x+2y=6 ------> equation C

Adds equation A and equation C

7x-2y=-6\\16x+2y=6\\--------\\7x+16x=-6+6\\23x=0\\x=0

Find the value of y

7(0)-2y=-6

-2y=-6

y=3

the solution is the point (0,3)

3 0
3 years ago
Read 2 more answers
...... trying to find domain, range rel max rel min end behavior inc intervals dec intervals. zeros..... I'm a mom trying to hel
Fiesta28 [93]

Answer:

The values are evaluated below.

Step-by-step explanation:

Given function is

-x^4-7x^3-12x^2

We have to find the domain, range, rel max, rel min, end behaviour, increasing or decreasing intervals and zeros of polynomial.

Domain:

The domain of a function is the set of all possible values of x for the given function.

Here domain is set of all real numbers R.

Range:

The range is the resulting y-values we get after substituting all the possible x-values.From the graph we see that

The range is -\infty

Relative maxima and minima of a function,  are the largest and smallest value of the function on an entire domain of function.

Relative max of -x^4-7x^3-12x^2 is 0 at x=0

and \frac{3}{512}(133\sqrt57-471) at x=\frac{-21}{8}-\frac{\sqrt57}{8}

Relative min is

\frac{-3}{512}(471+133\sqrt57) at x=\frac{-21}{8}+\frac{\sqrt57}{8}

From the graph we see that

End behaviour is  As \\x->\infty, f(x)->-\infty\\x->-\infty, f(x)->-\infty\\

Increasing intervals and decreasing intervals are

Increasing: \frac{1}{8}(\sqrt57-21)

Decreasing: \frac{1}{8}(-21-\sqrt57)  

Zeroes are :

-x^4-7x^3-12x^2=0

⇒ (-x^2)(x^2+7x+12)=0

⇒(-x^2)(x+3)(x+4)=0

Hence, zeroes are 0, 0, -3, -4



3 0
3 years ago
Read 2 more answers
A) Find the average rate of change of the area of a circle with respect to its radius r as r changes from 4 to each of the follo
Black_prince [1.1K]
Area = π x radius²
dA/dr = 2πr
Average rate of change = (rate of change at one instant + rate of change at other instant)/2
= (2πr₁ + 2πr₂)/2
= (r₁ + r₂)π
Ai) 9π
Aii) 8.5π
Aiii) 8.1π

B) Instantaneous change:
(dA/dr) at (r = 4) = 2π(4)
= 8π
7 0
3 years ago
What is the current in a series circuit that has two resistors (4.0 ohms and 7.5 ohms) and a power source of 9.0 volts? A . 2.6
Mariana [72]
C is your answer.
Hope this helps
3 0
3 years ago
Read 2 more answers
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