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Natalija [7]
3 years ago
6

I WILL GIVE BRAINLIEST +98 points PLEASE HELP DON'T TYPE THEN LEAVE NEED HELP ASAP

Mathematics
2 answers:
Kitty [74]3 years ago
7 0

Assume the mattress have no width, only length.

By Pythagoras' Theorem, √(72^2 + 80^2) = 107.6 inches.

Stella [2.4K]3 years ago
6 0

Answer:

well we'll have to use the pythagoras theorem :

√(72^2 + 80^2) = 107.6289924 inches.

√5184 + 6400

8√181

= 107.6289924 in

107.6 in (rounded)

~batmans wife dun dun dun...

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Mr. Ortega is buying a ham. He wants to divide it into 6-ounce servings for 12 people. Write and solve a division equation to fi
galben [10]

Answer:

division equation  

x/6 = 12

The size he should buy = 72 ounces

Step-by-step explanation:

Mr Ortega bought a ham. He wants to divide it into 6 ounce serving for 12 people . The division equation to find what size of ham Mr Ortega should buy is represented below.

Mr Ortega wants to share for each person 6 ounce serving for 12 people.

Let the amount of ounce he will buy = x ounces

Therefore, the division equation to find what size of hams Mr Ortega should buy will be

x/6 = 12

To find x we cross multiply

x = 12 × 6

x = 72 ounces

8 0
3 years ago
Need help solving this problem
dimulka [17.4K]

Answer:

17 i think

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

(c) No inflection point; concave up on (0, ∞)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

           2x² - x  -1 = 0

     ( x - 1) (2x + 1) = 0

         x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½  = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

6 0
3 years ago
Lisa's store collects 5% sales tax on every item sold. If she collected $22.00 in sales tax, what was the cost of the items her
Ede4ka [16]
Since we are looking for the principal amount, then all we have to do is reverse the process of getting the amount of tax. In order to get the principal, you just have to divide 22 with 0.05. The answer is 440 so that is the principal amount you are looking for.
5 0
2 years ago
Multiply: (−3x − 6)(3x2 − 6x + 3)
zavuch27 [327]
The answer is -9 • (x + 2) • (x - 1)2
7 0
2 years ago
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