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Sever21 [200]
3 years ago
13

If 5r + 6 < 36, then a) r<6 b) r<8 c) r<12 d) r<30 e) not given

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0
The answer is r<6

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1/4 of 24 on tape diagram
Lemur [1.5K]
Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.Now, to find the value of each square: 24:4 = 6.Put the number 6 in each square, and you have found your result.1/4 of 24 is 6.

8 0
3 years ago
Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
X^2 times x^2 times 5
miss Akunina [59]

Answer:

5x^4

Step-by-step explanation:

<u><em>Re-order terms so constants are on the left</em></u>

x^2*x^2*5

5x^2*x^2

<em><u>Combine exponents</u></em>

5x^2*x^2

5x^4

<h2>(PLS GIVE <u><em>brainliest</em></u>)</h2>

4 0
3 years ago
Write a formula to describe the sequence
Dominik [7]

Answer:

d

Step-by-step explanation:

A(n) = 1 - 0.1(n-1)

A(1) = 1- 0.1*(1-1) = 1 - 0.1*0 = 1

A(2) = 1- 0.1*(2-1) = 1 - 0.1*1 = 1- 0.1 = 0.9

A(3) = 1 - 0.1(3-1) = 1 - 0.1*2 = 1-0.2=0.8

Method:

A(1)=1

D = A(2)-A(1) = 0.9 - 1 = -0.1

A(n) = A(1)+(n-1)*d = 1 + (n-1)*(-0.1)

     = 1 - 0.1(n -1)

     

8 0
3 years ago
a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how man
Pie

Answer:

15,625

Step-by-step explanation:

2h=120m

120/20 = 6

5^6 = 15,625

4 0
2 years ago
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