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Evgesh-ka [11]
3 years ago
5

What is 5 and 2/3 equivalent to

Mathematics
1 answer:
tino4ka555 [31]3 years ago
3 0

Answer:

17/3

Step-by-step explanation:

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Find the zeros of the polynomial function and state the multiplicity of each.
zheka24 [161]
\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3
\\\\\\
0=(x+7)^2(x-7)^3\implies 
\begin{cases}
0=(x+7)^7\\
\qquad 0=(x+7)(x+7)\\
\qquad -7=x\\
\qquad -7=x\\
----------\\
0=(x-7)^3\\
\qquad 0=(x-7)(x-7)(x-7)\\
\qquad 7=x\\
\qquad 7=x\\
\qquad 7=x
\end{cases}

the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3
7 0
3 years ago
You could win a giant jar of M&Ms, if only you could guess how many are in the jar. You find a smallerjar such that the gian
sleet_krkn [62]

Answer:

There are 7360 M&Ms in larger jar.

Step-by-step explanation:

We are given the following in the question:

A giant jar is such that it is exactly four times times the smaller jar in dimensions.

If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:

R = 4r\\H=4h

Number of M&Ms in smaller jar = 115

Volume of smaller jar =

v = \dfrac{1}{3}\pi r^2 h

Volume of larger jar =

V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h

Number of M&Ms in larger jar:

v = \dfrac{1}{3}\pi r^2 h\rightarrow 115\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 115\times 64\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 7360

Thus, there are 7360 M&Ms in larger jar.

6 0
3 years ago
What is a number sentence for what is 76 more than the product of 12 and 8
densk [106]

The answer to, What is a number sentence for what is 76 more than the product of 12 and 8, is:

76+12×8


4 0
4 years ago
Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inc
kozerog [31]

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that \dfrac{AD}{DB}=\dfrac{AE}{EB}

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

8 0
3 years ago
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What is the rate of change for the set of ordered pairs?
Elden [556K]
THE ANSWER IS C IF I RECALL DOING THIS
6 0
4 years ago
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