Zak has some water in a jug.

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2

nikitadnepr [17]

The equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down $2\frac{1}{2}$ meters. So we can write $-2\frac{1}{2}$ .

Again Eric climbed straight up $6\frac{3}{4}$ meters. So, we can write $6\frac{3}{4}$ .

Then the change = $-2\frac{1}{2}+6\frac{3}{4}$

= $-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}$

= $-\frac{5}{2} +\frac{27}{4}$

= $\frac{-(5*2)+27}{4}$

= $\frac{-10+27}{4}$

= $\frac{17}{4}$

= $\frac{4*4+1}{4}$

= $4\frac{1}{4}$

Therefore, the equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

Learn more about subtraction here -

brainly.com/question/24116578

#SPJ10

7 0

1 year ago

Given y = log3(x + 4), what is the domain?

dem82 [27]

For a logarithmic function, we have a restriction on the domain.
Since log(0) isn't defined, we say that there is an asymptote at x = 0.
Thus, for the regular logarithmic function y = log(x), x > 0.

We can then say (x + 4) > 0, since that's when the function of a logarithm is defined as.
x + 4 > 0
x > -4

Thus, the domain of the logarithmic function is x > -4, where x is a real integer.

5 0

2 years ago

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2/5 - 1/3 (simplified if possible)

Kipish [7]

Answer:

1/15

Step-by-step explanation:

(1). Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator).

So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.

Solve:

2*3/5*3 - 1*5/3*5

(2). Complete the multiplication.

6/15 - 5/15

(3). The two fractions now have like denominators so you can subtract the numerators.

6 - 5 / 15 - 15 = 1/15

*Pro tip:

The denominator doesn't change and stays the same. So you don't 

subtract the 15 by 15.

(4). Then you'll get the answer and then if you can simplify then simplify.

The Answer is 1/15, and cannot be simplified.

So the answer is 1/15

Hope this helps!

7 0

2 years ago

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your

Keith_Richards [23]

Answer:

Step-by-step explanation:

f'(x)=-sin x

$f'(x)=\frac{cos \frac{\pi }{3} -cos (\frac{-\pi }{3}) }{\frac{\pi }{3} -(\frac{-\pi }{3}) } \\-sin x=\frac{\frac{1}{2} -\frac{1}{2} }{\frac{\pi }{3} +\frac{\pi }{3} } \\sin x=0\\at x=c ,sin c=0,c=0$

c=0∈(-π/3,π/3)

4 0

2 years ago

How do you write the number 7.632 in expanded form

Alex Ar [27]

Expanded FormFind the Expanded Forms of:

Answer:
Standard Form:

7.362

Expanded forms can be written
like a sentence or stacked for
readability as they are here.

Expanded Numbers Form:

7 + 0.3+ 0.06+ 0.002
Expanded Factors Form:

7 ×1 +3 × 0.1+6 × 0.01+2 × 0.001
Expanded Exponential Form:

7 × 100+3 × 10-1+6 × 10-2+2 × 10-3
Word Form:

seven and
three hundred sixty-two thousandths

5 0

3 years ago

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