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Olin [163]
3 years ago
9

"Why do whole numbers raised to an exponent get greater, while fractions raised to an exponent get smaller?" I completely unders

tand this and know the answer but I don't know how to explain it and put it in words...
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0
Say you have the fraction 1/2 to the power of 2, so 1/2^2. You could also write this down as: 1/2*(times)1/2 or 0,5*0,5. Whenever you multiply by a number smaller than one, the outcome will get smaller. Whenever you multiply by a number larger than one, the outcome will be larger.
You might be interested in
9=4/t Math Answer 6th grade problem
miskamm [114]
Multiply by for to get t alone 9 times four is 36
7 0
3 years ago
Consider the following statement. ∀ integer d, if 6 d is an integer then d = 3. Which of the following is a negation for the sta
omeli [17]

Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

6 0
3 years ago
A clerk is marking up merchandise 34%. The original price of an item is $455. What will be the retail price?
Galina-37 [17]
Take the orginal price and multiply it by 1.34.
455 * 1.34 = $609.70 in retail.

The longer way would be to take 34% of 455 and then add it to 455.

4 0
3 years ago
Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles
OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

A=P\left(1+r\right)^t

Then we get equation for motorcycles and cars as:

A=5.75\left(1+0.16\right)^t

A=3.5\left(1+0.25\right)^t

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

\left(\frac{1.25}{1.16}\right)^t>1.64285714286

t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}

t>6.6436473051

Hence final answer is approx 6.644 years.

7 0
3 years ago
Differentiate y=xln(3x)​
Ganezh [65]

Answer:

Remove parentheses.

y=xln3x

2 Already solved. No work needed.

y=xln3x

the solution is in the picture above please mark me brainliest:)

6 0
3 years ago
Read 2 more answers
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