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Cloud [144]
3 years ago
5

SOMEONE PLEASE HELP ME WITH THIS !!!!!

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

Answer:

b!!!!!

Step-by-step explanation:

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Marie has 50 pages in her notebook. She made a graph of the kinds of writing on all of the pages she has
MissTica

Answer:

31

Step-by-step explanation:

50 - 2-3-6-3-5 = 31

4 0
3 years ago
Newton’s law of universal gravitation, F=Gm1m2/r²,measures the force of gravity between two masses m1 and m2,where r is the dist
Pavel [41]

Answer:

G=\frac{Fr^2}{m_1m_2}

Step-by-step explanation:

Since our equation is F=\frac{Gm_1m_2}{r^2} and we want to solve for G, first we divide both sides by the product m_1m_2, which gives:

\frac{F}{m_1m_2}=\frac{Gm_1m_2}{m_1m_2r^2}=\frac{G}{r^2}

So we are left with:

\frac{F}{m_1m_2}=\frac{G}{r^2}

Now we multiply both sides by r^2, which gives:

\frac{Fr^2}{m_1m_2}=\frac{Gr^2}{r^2}=G

Which gives us our final formula:

G=\frac{Fr^2}{m_1m_2}

6 0
3 years ago
Write the polynomial of least degree with roots -2, 0, 1.
joja [24]
So since -2, 0, 1 are the roots:

Therefore  x = -2,  x = 0 ,  x = 1

Implies that:

x = 2        x - 2 = 0

x = 0          x = 0

x = 1        x - 1 = 0


Therefore    (x - 2)x(x - 1) = 0

(x - 2)(x - 1) =   x(x - 1) - 2(x - 1) =  x² - x - 2x + 2 = x² - 3x + 2

(x - 2)x(x - 1) = 0

(x - 2)(x - 1)x = 0

(x² - 3x + 2)x = 0

x*x² - x*3x + x*2 = 0

x³ - 3x² + 2x = 0

This is the polynomial with the least degree, because it possible for another polynomial with higher power to still have the same root.

 x³ - 3x² + 2x = 0    is the polynomial.

I hope this helps.
6 0
4 years ago
An angle measures 47.2° less than the measure of its supplementary angle. What is the measure of each angle? on ixl
SVEN [57.7K]

Answer:

The measure of one angle is 113.6^o, and the measure of the other one is 66.4^o

Step-by-step explanation:

Recall that supplementary angles are those whose addition renders 180^o

We need to find the measure of two such angles whose difference is precisely 47.2^o.

Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:

x+y=180^o\\x-y=47.2^o

We can now solve this by simply combining term by term both equations, thus  cancelling the term in "y", and solving first for "x":

x+y=180^o\\x-y=47.2^o\\\\2x=180^o+47.2^o\\2x=227.2^o\\x=113.6^o

So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":

y=180^o-x\\y=180^o-113.6^o\\y=66.4^o

5 0
3 years ago
What is the sum of the finite arithmetic series?
mariarad [96]

The underlying arithmetic progression is

-15, 0, 15, 30, ...

starting with a_1=-15 and with a common difference of d=15 between terms. Recursively, this sequence is given by

\begin{cases}a_1=-15\\a_n=a_{n-1}+15&\text{for }n>1\end{cases}

So we have

a_2=a_1+15

a_3=a_2+15=a_1+15\cdot2

a_4=a_3+15=a_1+15\cdot3

and so on, so that the explicit rule for the sequence is

a_n=a_1+15(n-1)=15n-30

for n\ge1.

The series consists of 15 terms, since

195=15n-30\implies15n=225\implies n=15

So we have

-15+0+15+\cdots+195=\displaystyle\sum_{n=1}^{15}(15n-30)=15\cdot\frac{15\cdot16}2-30\cdot15=1350

and the answer would be B.

4 0
3 years ago
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