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3 years ago

6

One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sarah walk on the longer path

that the shorter path if she walks around the path once?

1 answer:

MArishka [77]3 years ago

3 0

Answer:

First find the circumference by pi r squared.

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5 + (-6) = ? Math:adding with rational integers

REY [17]

5 + (-6) = -1
hope this helps!

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4 years ago

4^(4x-1)=32 <br><br> How do I solve this problem? Do I do 4 to the fourth power first?

yKpoI14uk [10]

Answer:

$\large\boxed{x=\dfrac{7}{8}}$

Step-by-step explanation:

$4^{(4x-1)}=32\\\\(2^2)^{4x-1}=2^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(4x-1)}=2^5\iff2(4x-1)=5\ \ \text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-1)=5\\\\8x-2=5\qquad\text{add 2 to both sides}\\\\8x=7\qquad\text{divide both sides by 8}\\\\x=\dfrac{7}{8}$

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3 years ago

Read 2 more answers

Let the function f be defined by the equation

Archy [21]

Answer:

Domain: $(-\infty,\infty)$

Step-by-step explanation:

The domain of a function is all values of x such that f(x) exists.

In our case we have the following function:

$f(x)=x^{3}-5x+3$

We know that x and f(x) are real numbers, therefore the domain will be the interval $(-\infty,\infty)$ , or in other words, the domain is all real numbers.

I hope it helps you!

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3 years ago

Karim is painting a design on a cylindrical

galina1969 [7]

8$$$ is the answer because of the barrel

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2 years ago

Andre was trying to write 7^4/7^-3 with a single exponent and write 7^4/7^-3= 7^4-3=7^1 Exploit to Andre what his mistake was an

Readme [11.4K]

$\frac{7^4}{7^{-3}}=7^7$

Here, we want to get what Andre's mistake was and correct it

To answer this, we are supposed to use the division law of indices

We have this as;

$\frac{a^x}{a^y\text{ }}=a^{x-y}$

Now, in the case of this question, x is 4 and y is -3

So, we have the expression as;

$7^{4-(-3)}=7^{4+3}=7^7$

His mistake is thus adding the exponents instead of subtracting

3 0

1 year ago