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Kryger [21]
3 years ago
5

If a ball rotates through 110 degrees in 8 seconds, how many rotations does it make in 32 seconds

Mathematics
2 answers:
castortr0y [4]3 years ago
5 0
It makes 440 rotations in 32 seconds
Vedmedyk [2.9K]3 years ago
3 0
Hello there!

If:

110....> 8 seconds
x........32 seconds

Cross multiply

8 * x = 32 * 110

8x = 3520

x = 3520/8

x= 440

It makes 440 rotations in 32 seconds


I hope this helps!
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If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

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3 years ago
X^2 + 10x + 25 = 0<br><br><br>I feel like I've tried everything and I just don't get it.
loris [4]
If you are factoring it you can factor it into (x+5)^2
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3 years ago
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Nola purchased two. 5 pounds of cheese for 10. $50 her mother purchased 3 pounds of the same cheese for $12.60 the cost of the c
Dovator [93]

Answer: 1 pound of cheese cost $4.2

Step-by-step explanation:

Nola purchased 2.5 pounds of cheese for 10. $50

Her mother purchased 3 pounds of the same cheese for $12.60

If the cost of the cheese varies directly with the number of pounds purchased, it means that the higher the pounds of cheese purchased, the higher the cost

To determine the the cost of 1 pound of cheese, we wound divide the the cheese by the number of pounds bought.

It becomes 10.5/2.5 = 4.2

7 0
3 years ago
Identifying and Generating Equivalent Expressions - Item 31254
ioda

Answer:

2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10

2(10 · 4 + 10 · 7 + 4 · 7)

Step-by-step explanation:

Given dimensions of the square prism:

  • length = 7 units
  • width = 4 units
  • height = 10 units

In order to find the surface area, we must find the area of each face.

Area of a rectangle = width x length

The square prism has 3 pairs of faces:

SA of bases = 7 x 4

SA of side 1 = 4 x 10

SA of side 2 = 7 x 10

So the total surface area is

2(7 x 4) + 2(4 x 10) + 2(7 x 10) = 276 units squared

<u>Solutions</u>

2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10

2(10 · 4 + 10 · 7 + 4 · 7)

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Answer:

Step-by-step explanation A line of best fit is often useful to attempt to represent data with the equation of a straight line in order to predict values that may not be displayed on the plot.n:

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