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Montano1993 [528]
3 years ago
13

A machine stamps 360 metal parts in 15 minutes. Find the unit rate in parts per minute. per minute

Mathematics
2 answers:
ad-work [718]3 years ago
4 0
I don’t understand help
mylen [45]3 years ago
3 0
Answer: 24

step by step explanation:
divide 360 by 15
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ΔABC has coordinates A(8, −4), B(2, 2), and C(0, −6). Write the coordinates of the image after a dilation with a scale factor of
MakcuM [25]

Answer:

formula= (kx,ky)

where k = scale factor

= A((8,-4)

= A= (8×12,-4×12)

<u>A= (96,-48)</u>

B= (2,2)

= (2×12,2×12)

<u>B= (24,24)</u>

C= (0,-6)

= (0×12,-6×12)

<u>C= (0,-72)</u>

4 0
2 years ago
Convert the cartesian equation x2 +y2=16 to a polar equation
VARVARA [1.3K]
X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2

We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2

where
(h,k) = (0,0) is the center
r = 4 is the radius

The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4. 

Answer: r = 4
3 0
3 years ago
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
A semicircle is cut out of a rectangular paperboard 24in long and 18n wide, as shown below. What is the perimeter of the paperbo
svet-max [94.6K]

Answer:

Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in

Step-by-step explanation:

Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.

Length = 24 in

Width = 18 in

Radius of the semi circle = Half of the width of the paperboard = \frac{18}{2} = 9 in

1) Circumference of the semi circle = π*radius

= 3.14*9

= 28.26 in

2) Perimeter of the paperboard that remains after the semicircle is removed

= Top + Left + Bottom + Right Circumference of the semi circle

= 24 + 18 + 24 + 28.26

= 94.26 in


5 0
3 years ago
Give examples of two substances that look similar, but have different properties.
gogolik [260]

Answer:

Water and alcohol

Step-by-step explanation:

They are both a clear liquid. However, their properties are very different. Here are a few of the things that set them apart.

  • their smell
  • their PH
  • their density
8 0
3 years ago
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