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Nadya [2.5K]
3 years ago
5

A hippopotamus weights 4 tons.feeding instructions are given in for weights in pounds.how many pounds does the hippopotamus weig

h ?
A 4,000pounds
B 6,000
C 8,000
D 12,000
Mathematics
1 answer:
lys-0071 [83]3 years ago
6 0
It's ....c 8000 lbs because there is 2000 lbs in a ton so you do 4x2 which equals 8 then you add your 3 zeros. Hope I was able to help.
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8x + 2 – 6 = 4x +8 +3x
Viefleur [7K]
The first step is to combine like terms. So u would do 2-6. You then get -4 then u just bring everything else down. So now u should have this :

8x -4 = 4x + 8 + 3x

Now you do the same thing to the other side. U combine like terms which in this case are 4x and 3x. So u just do 4+3 which is 7 so now u have 7x. So now ur equation would be:

8x -4 = 7x +8

Now u do the inverse of 7 which would be -7 and u do that on both sides. So it would look like this :

8x -4 = 7x + 8
-7x. -7x

So now 7 and -7 cancel each other other and 8 -7 is 1 so now u have one x. So ur equation would now look like this:

1x -4 = 8

Now u do the inverse of negative 4 which is +4. So you would add 4 on both sides on both sides. Like shown:

1x -4 = 8
+4 +4

So u just add 8 + 4 which is 12. Now since anything times 1 is itself ur answer will be X=12


Hope this helped



4 0
3 years ago
Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.
sergij07 [2.7K]

(a) If <em>f(x)</em> is to be a proper density function, then its integral over the given support must evaulate to 1:

\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1

For the integral, substitute <em>u</em> = <em>x</em> ² and d<em>u</em> = 2<em>x</em> d<em>x</em>. Then as <em>x</em> → 0, <em>u</em> → 0; as <em>x</em> → ∞, <em>u</em> → ∞:

\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1

which reduces to

<em>c</em> / 2 (0 + 1) = 1   →   <em>c</em> = 2

(b) Find the probability P(1 < <em>X </em>< 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678

5 0
2 years ago
Find the solution to the system of equations,
olya-2409 [2.1K]
A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found
5 0
2 years ago
Read 2 more answers
A florist has to choose four different types of flowers to include in a bouquet. In how many ways can the florist do this, if th
Nat2105 [25]

Answer:

Step-by-step explanation:

Given:

Type of Flowers = 5

To choose = 4

Required

Number of ways 4 can be chosen

The first flower can be chosen in 5 ways

The second flower can be chosen in 4 ways

The third flower can be chosen in 3 ways

The fourth flower can be chosen in 2 ways

Total Number of Selection = 5 * 4 * 3 * 2

Total Number of Selection = 120 ways;

Alternatively, this can be solved using concept of Permutation;

Given that 4 flowers to be chosen from 5,

then n = 5 and r = 4

Such that

nPr = \frac{n!}{(n - r)!}

Substitute 5 for n and 4 for r

5P4 = \frac{5!}{(5 - 4)!}

5P4 = \frac{5!}{1!}

5P4 = \frac{5*4*3*2*1}{1}

5P4 = \frac{120}{1}

5P4 = 120

Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways

4 0
3 years ago
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C
Alex787 [66]

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

4 0
3 years ago
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