At the zoo' Brooke learned that one of rhinos weighs 4'897 pounds' one of the giraffes weigh 2'667 pounds' one of the African elephants weigh 12'456 pounds' and one of the Komodo dragons weigh 123 pounds.what is the combined weight of the zoos elephant and giraffe

Answers

Answer 1

Answer: 2,667 + 12,456=15,123
Hope I helped!

Answer 2

Answer: 2,667+12,456= 15,123 pounds.

Answer= 15,123 pounds.

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A student solved this problem and said the answer is 5 pounds. Todd has two packages of hamburger. One package weighs 4/5 pound and the other weighs 9/10 pound. What is the total weight of both packages of hamburger combined?

Is the student's answer reasonable?

Answers

No, the students answer is decently far off the correct answer would be 1 7/10 pounds because, to add fractions you first need to find a common denominator that both of the numbers go into for example for this one 10 is a common denominator because 5 goes into 10 twice and 10 goes into 10 once so we multiply 4/5 by 2 because it take twice the amount of 5 to get to 10 and what we do to one side we must replicate on the other side as well. Like so,
4/5*2=8/10 now all the we have to do is take 8/10+9/10=17/10 and simplifying that down you get 1 7/10 because 10 goes into 17/10 one time with 7 left over and because 7 is prime that answer can not be simplified down any more.

Enjoy!=)

The answer is no, because the net weight or the pounds the packages weigh together isn't close to 5 pounds---------->

given
two packages of hamburgers
4/5 of a pound, package 1
9/10 of a pound, package 2
--------------------------------
10/10 =1pound
5X 10/10= 50/10= 5pounds
first convert both to same denominator, find the lowest common multiple between the denominators, 10,5
10 is the smallest so lets turn all answer into something over #/10
4 X
-- = --
5 10
  √
5x2=10
what ever you multiply the bottom you multiply to the top
we multiplied the bottom by 2 so we need to multiply the top by 2/ 4X2=8
8
--
10
-------------
since 9/10 already has 10 in the denominator we can keep this as this is
-----------------------------------------------------------------------------------
8 9 17   7 17   17 50
-- + --= --- = 1 -- =---pounds of hamburgers.   -- ≠5 pound/ --- pounds
10 10 10 10 10          10 10

≠ doesn't/don't equal

check with teacher

The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet? Round your answer to the nearest whole number.

Answers

A tire is a circle, therefore:

1) we have to calculate the circumference of this circle (tire of this bycicle)
C=dπ
diameter=20 in
C=20π in.

1 rotation=20π in

2)we convert 500 ft to in
1 foot=12 in;

1 foot------------------12 in
500 feet--------------- x

x=(500 ft * 12 in) / 1 foot=6000 in.

3) Now, we calculate the number of rotations:
1 rotation=20π in≈20*3.141592654... in≈62.93 in,

1 rotation--------------62.93 in
x--------------------------6000 in

x=(1 rotatiton * 6000 in) / 62.93 in≈95.5 rotations≈96 rotations.

Answer: 96 rotations.

Answer:96

Step-by-step explanation:

If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), which of the following statements must be true? (a) The graph of f has a point of inflection somewhere between x = -1 and x= 3
(b) f'(-1) = 0
(c) this is wrong
(d) The graph of f has a horizontal tangent line at x = 3
(e) The graph of f intersects both axes - Correct answer

I understand why e is correct, but I do not get why a, b, and d are all wrong. Aren't b and d to be expected since they are relative max/min's? I also can't imagine a case in which "a" is incorrect. Can someone explain why they are wrong? Thank you!

Answers

First of all we need to review the concept of concavity. So, this is related to the second derivative. If we want to think about f double prime, then we need to think about how f prime changes, how the slopes of the tangent lines change.

So:

1) On intervals where $f''>0$ , the function is concave up (Depicted in bold purple in Figure 1)

2) On intervals where $f''<0$ , the function is concave down (Depicted in bold green in Figure 1)

Points where the graph of a function changes from concave up to concave down, or vice versa, are called inflection points.

Suppose we have a function whose graph is shown below. Therefore we have:

(a) The graph of f has a point of inflection somewhere between x = -1 and x= 3

This is true. As you can see from the Figure 2 the inflection point is pointed out in green. In this point the function changes from concave down to concave up.

(b) f'(-1) = 0

This is true. In $x=-1$ there's a maximum point. In this point the slope of the tangent line is in fact zero, that is, the function has an horizontal line as shown in Figure 3 (the line in green).

(c) this is wrong

This is false because we have demonstrated that the previous statement are true.

(d) The graph of f has a horizontal tangent line at x = 3

This is true. As in case (b) the function has an horizontal line as shown in Figure 3 (the line in orange) because in $x=3$ there is a minimum point.

(e) The graph of f intersects both axes

This is true according to Bolzano's Theorem. Apaticular case of the the Intermediate Value Theorem is the Bolzano's theorem. Suppose that $f(x)$ is a continuous function on a closed interval $[a,b]$ and takes the values of the opposite sign at the extremes, and there is at least one $c \in (a,b) \ such \ that \ f(c)=0$

$f'(x)=k(x+1)(x-3)$
$f'(x)=k(x^2-2x-3)$
$f(x)=k( (x^3)/(3)-x^2-3x )+C$
$f$
if f"(x)=0 then x=1
therefore a) is true
f'(-1)=0 b) is also true
f'(3)=0 d) is also true
e) option is also correct
i think

(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.A little help....

Answers

Answer:

x^2+11x+10

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 | 1 13 32 20

| -2 -22 -20

|___________________________

1 11 10 0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

Sarah wants to go sky-diving. In order for her to safely sky-dive, she must be 200 pounds of less. Right now, she weights 231 pounds. She decided to work out and eat healthy so that she could lose weight each week. The table below shows her data. Part a. Based on the data in the table, what is the slope? Explain what the slope means in context of the situation.

Part b. What is the linear equation to represent the situation?

Part c. How many weeks will it take her to safely sky-dive?

Answers

a) -2, b) y = -2x + 231, c) 16

Estimate 18.50 x 2.6

Answers

Answer:

Step-by-step explanation:

We are estimating so I will round to the nearest whole number

19*3

Answer:

Step-by-step explanation:

18.5= 19

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