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skelet666 [1.2K]
3 years ago
15

What is 2/5 divided by 3 1/10​

Mathematics
2 answers:
mezya [45]3 years ago
7 0

Answer:

20/155

Step-by-step explanation:

kumpel [21]3 years ago
3 0

Answer:

4/31

Step-by-step explanation:

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harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. aft
mash [69]

Answer:

The answer is "\bold{y=4x+17}".

Step-by-step explanation:

In the given statement the graph is missing. So, the correct solution to this question can be described as follows:

Given

graph point: \bold{(2, 25)}

Line points: \bold{(0,10), \ \  and \ \ (10,50)}

The Formula of slope:

\boxed{M= \frac{y_2-y_1}{x_2-x_1}}\\\\\Rightarrow x_1= 0, y_1= 10 \\\\\Rightarrow x_2= 10, y_2=50\\\\\Rightarrow M= \frac{50-10}{10-0}\\\\\Rightarrow M=\frac{40}{10}\\\\\Rightarrow M= 4\\

Assuming  point: (x,y)

Graph point: (2,25)

M= 4

Equation:

\Rightarrow \frac{25-y}{2-x}=4\\\\\Rightarrow 25-y=4(2-x)\\\\\Rightarrow 25-y=8-4x\\\\\Rightarrow y= 4x-17\\

7 0
3 years ago
Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an
valkas [14]

Answer:

The polynomial of minimum degree is p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480.

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) (4 + 2\,i,0), (ii) (4 - 2\,i, 0), (iii) (-8, 0), (iv) (0, -480)

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})

We proceed to expand the expression until standard form is obtained:

p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})

p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})

p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})

p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})

If we know that p (0) = -480, then:

-480=160\cdot (-r_{1})

-160\cdot r_{1} = -480

r_{1} = 3

Then, the polynomial is:

p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)

p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480

p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480

The polynomial of minimum degree is p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480.

5 0
3 years ago
Jim is designing a seesaw for a children’s park. The seesaw should make an angle of 45 degrees with the ground, and the maximum
balandron [24]

Answer:

B) 1.4

Step-by-step explanation:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

3 0
3 years ago
Can someone please help me with this
REY [17]

Answer:

Need to see question

Step-by-step explanation:

What's the question?

4 0
2 years ago
2m - 3n = 14<br> M + 3 n = -11
saw5 [17]

Answer:

The correct answer is M = 1 and N = -4

Step-by-step explanation:

In order to solve this system, use the elimination method. To do this, simply add the two equations together.

2m - 3n = 14

m + 3n = -11

-------------------

3m = 3

Now solve for m.

3m = 3

m = 1

Now that we have the value of m, we can use either equation to find the value of n.

2m - 3n = 14

2(1) - 3n = 14

2 - 3n = 14

-3n = 12

n = -4

5 0
3 years ago
Read 2 more answers
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