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3 years ago

Is it necessary to do all of the calculations to determine the sign of the product?

1 answer:

6 0

Depends on the formula, but with most cases yes, because you may have -3 as an answer, but adding only 4 makes it positive.

There are some cases where you could look at it and know the sign, like if I am adding -100 and -93, I know the answer will be negative

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HELP ASAP WILL GIVE 100 POINTS. Solve for x. 89(54x−36)+2=−34(−40+16x)+90x

PolarNik [594]

Solution:

Simplify the equation and solve.

89(54x − 36) + 2 = −34(−40 + 16x) + 90x
=> 4806x − 3204 + 2 = 1360 - 544x + 90x
=> 4806x = 1360 - 454x + 3202
=> 5260x = 4562
=> x = 4562/5260 = 2281/2630

The solution to the problem is 2281/2630.

3 0

2 years ago

How do I solve this math problem 5/6n=10

iragen [17]

Answer:

n=12

Step-by-step explanation:

5/6n=10

*6 *6

5n=60

n=12

6 0

3 years ago

Read 2 more answers

2. How many ounces of yeast will you need to make 30 rolls?

kupik [55]

Answer:

Step-by-step explanation:

7 0

3 years ago

box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am

Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0

3 years ago

Which expression is equivalent to log_5(x/4)^2?

viktelen [127]

For this case we must find an expression equivalent to:

$log_ {5} (\frac {x} {4}) ^ 2$

So:

We expanded $log_ {5} ((\frac {x} {4}) ^ 2)$ by moving 2 out of the logarithm:

$2log_ {5} (\frac {x} {4})$

By definition of logarithm properties we have to:

The logarithm of a product is equal to the sum of the logarithms of each factor:

$log (xy) = log (x) + log (y)$

The logarithm of a division is equal to the difference of logarithms of the numerator and denominator.

$log (\frac {x} {y}) = log (x) -log (y)$

Then, rewriting the expression:

$2 (log_ {5} (x) -log_ {5} (4))$

We apply distributive property:

$2log_ {5} (x) -2log_ {5} (4)$

Answer:

An equivalent expression is:

$2log_ {5} (x) -2log_ {5} (4)$

3 0

3 years ago