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Papessa [141]
3 years ago
5

Helpppppppppppp 25pts!

Mathematics
2 answers:
kkurt [141]3 years ago
6 0

Answer:

38

Step-by-step explanation:

50-12 =38 might be wrong though but try it

Margarita [4]3 years ago
5 0

Answer:

19

Step-by-step explanation:

50/2=25-(12/2)=19

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Discribe two different strategies to add 16+35+24+14
Ira Lisetskai [31]
1st strategy: Add the first two terms and the last two.

16+35 + 24+14
51 + 38 = 89

2nd strategy: add the first and last term and the middle 2 terms.

16 + 35 + 24 + 14
30 + 59 = 89
5 0
3 years ago
Read 2 more answers
The students in Mr. Wilson's Physics class are making golf ball catapults. The
Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is 0 \leq x \leq 48.6\ ft and the range is 0 \leq y \leq 8.3\ ft

Step-by-step explanation:

we have

y=-0.014x^{2} +0.68x

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's  distance from the catapult in feet

y is the flight of the balls in feet

Part a)  How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-0.014x^{2} +0.68x=0

so

a=-0.014\\b=0.68\\c=0

substitute in the formula

x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}

x=\frac{-0.68(+/-)0.68} {(-0.028)}

x=\frac{-0.68(+)0.68} {(-0.028)}=0

x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

y=-0.014x^{2} +0.68x

Find out the derivative and equate to zero

0=-0.028x +0.68

Solve for x

0.028x=0.68

x=24.3

<em>Alternative method</em>

To determine the x-coordinate of the vertex, find out the midpoint  between the x-intercepts

x=(0+48.6)/2=24.3\ ft

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

y=-0.014(24.3)^{2} +0.68(24.3)

y=8.3\ ft

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A  reasonable domain is the distance between the two x-intercepts

so

0 \leq x \leq 48.6\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A  reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

so

we have the interval -----> [0,8.3]

0 \leq y \leq 8.3\ ft

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0
3 years ago
Isosceles trapezoid ABCD is shown below with a line EF drawn through its center. If the isosceles trapezoid is dilated using a s
Rus_ich [418]

Answer:

EF will contain the same points. When ABCD is dilated the points EF will stay on the line segments AB and CD.

Step-by-step explanation:

When the figure, ABCD, is dilated, the points EF will remain on the figure. I just had this question a few minutes ago.

5 0
3 years ago
Whats 4 plus 43242443534134
Svetlanka [38]

Answer:

43242443534138

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Helpppppppppppppppppppppppppppp
Oliga [24]

<u>To find the area of a complex shape</u>:

 ⇒ must split into simpler shapes

  • a rectangle of <u>8m by 7m</u>
  • a rectangle of <u>2m by 8 m</u>

<u>Now let's find</u>:

  • Area of a rectangle of <u>8m by 7m</u>

               Area=8*7=56m^2

  • Area of a rectangle of <u>2m by 8m</u>

               Area = 2 * 8 = 16m^2

<u>Total Area</u> = 56 + 16 = <u>72 m²</u>

<u>Answer: 72 m²</u>

Hope that helps!

6 0
2 years ago
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