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katovenus [111]
3 years ago
5

Simplify the expression 2^3 x 2^2

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
8 0
Simply add the exponents to be 2^5.
SpyIntel [72]3 years ago
3 0
It would be 2^5 which equals 32
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In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible produ
MAXImum [283]

Answer:

The two positive integers are 30 and 30

Step-by-step explanation:

Let

x------> the larger  positive integer

y-----> the smaller positive integer

P----> the product o the two positive integers

we know that

x+y=60

y=60-x -----> equation A

P=xy ----> equation B

substitute equation A in equation B

P=x(60-x)

P=60x-x^{2}

This is the equation of a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the largest possible product

Using a graphing tool

The vertex is the point (30,900)

That means------> For x=30 The largest possible product is 900

and

y=60-x ------> y=60-30=30

therefore

The two positive integers are 30 and 30

5 0
3 years ago
300 is 100% of what number?
laiz [17]
300/x=100/100
(300/x)*x=(100/100)*x       - we multiply both sides of the equation by x
300=1*x       - we divide both sides of the equation by (1) to get x
300/1=x 
300=x 
x=300

now we have: 
100% of 300=300

The answer is 300

8 0
3 years ago
Plz help me for 14. A and B it is 93 points
AVprozaik [17]
A. Stiles. For Melendez, each family member uses about 390 kilowatts of electricity. For Barton, each family member uses about 355 kilowatts of energy. Stiles uses 745 kilowatts per family member. 745 divided by 355 rounds up to 2 while 745 divided by 390 rounds up to 2. This means that the Stiles family uses twice the amount of electricity per person than the other families.

b. The Melendez family. The Melendez family uses 875 gallons per family member. The Barton family uses about 1067 gallons of water while the Stiles family uses about 1250 gallons. 875< 1067< 1250. This means that the Melendez family uses the least amount of water per family member.
6 0
3 years ago
Read 2 more answers
To investigate the relationship between amount of sales y (in thousands of dollars) and the amount x (in hundreds of dollars) sp
riadik2000 [5.3K]

Answer:

(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.

Step-by-step explanation:

Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.

y = a <u>+</u> bx

where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x

Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x

Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :

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  • Slope Interpretation :<u> When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e</u><u> </u><u>$2380</u>
7 0
3 years ago
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
Nady [450]

Do you notice anything strange about those points ?

(0, 1), 
(1, 2), 
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the  power of the x-coordinate.

First point:       x=0,  y=2⁰ = 1
Second point: x=1,  y=2¹ = 2
Third point:      x=2,  y=2² = 4
Fourth point:    x=3,  y=2³ = 8


The equation of the curve appears to be

                               y = 2 ^ x .

So, after 10 hours,  x=10, and  y = 2¹⁰ = 1,024 .

3 0
3 years ago
Read 2 more answers
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