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laila [671]
1 year ago
6

8 19. Marcus claims that fractions with denominators 1 through 10 follow a pattern

Mathematics
1 answer:
navik [9.2K]1 year ago
5 0

Answer:

No

Step-by-step explanation:

Marcus is not correct because 1/12 converts to the repeating decimal 0.8333... but 3/12 converts to 0.25 which is not a repeating decimal.

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Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles
andreev551 [17]

Answer:

3.5 hours

Step-by-step explanation:

if you multiply 6 and 2 by 3.5, then add them you get 28

4 0
3 years ago
A pharmaticeutical company is making a new medicine capsule shaped like a cylinder with a half sphere at each end. The
DerKrebs [107]

Answer:

339.12 cubic millimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder

so

step 1

Find the volume of the cylinder

The volume is given by

V=Bh

where

B is the area of the base of cylinder

h is the height of cylinder

we have

B=\pi r^{2}

we have

h=8\ mm

r=6/2=3\ mm ----> the radius is half the diameter

B=(3.14)(3)^{2}

B=28.26\ mm^2

substitute

V=(28.26)(8)=226.08\ mm^3

step 2

Find the volume of the sphere

The volume is given by

V=\frac{4}{3}\pi  r^{3}

we have

r=6/2=3\ mm ----> the radius is half the diameter

substitute

V=\frac{4}{3}(3.14)(3)^{3}=113.04\ mm^3

step 3

Adds the volumes

226.08+113.04=339.12\ mm^3

6 0
2 years ago
Plz help multiply and divide one step​
emmainna [20.7K]

Answer:

The value if y is -7

hope it helps you

4 0
2 years ago
Read 2 more answers
Simplify (4x^2+2)÷(2x^2-9x-5)​
frosja888 [35]

Answer:

4.1     Pull out like factors :

   4x2 + 2  =   2 • (2x2 + 1) 

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

 The factor(s) are:

of the Leading Coefficient :  1,2

 of the Trailing Constant :  1

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      3.00        -1     2      -0.50      1.50        1     1      1.00      3.00        1     2      0.50      1.50   

Polynomial Roots Calculator found no rational roots

Trying to factor by splitting the middle term

 4.3     Factoring  2x2 - 9x - 5 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10   +   1   =   -9   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1 

                     2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (x-5)

              Add up the last 2 terms, pulling out common factors :

                     1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                    (2x+1)  •  (x-5)

             Which is the desired factorization

Final result :

2 • (2x2 + 1) —————————————————— (x - 5) • (2x + 1)

5 0
2 years ago
Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 In which section of the graph does the actual solution
AlekseyPX
The answer to your question is 4
8 0
3 years ago
Read 2 more answers
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