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Alexandra [31]
3 years ago
15

Put these numbers in order from least to greatest. 8.1 9.81 0.891 0.01​

Mathematics
2 answers:
iogann1982 [59]3 years ago
5 0
0.01, 0.891, 8.1, 9.81
11111nata11111 [884]3 years ago
3 0

Answer:

8.1,9.81, 0.891, 0.01​

Step-by-step explanation:

YESSIr

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Take y2-y1 over x2-x1 to get the slope of the line
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-3/-4
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7 0
3 years ago
If the factors of a polynomial are x+8 and X+4, what values of x make that<br> polynomial 02
Lyrx [107]

Answer:

8-x0-36

Step-by-step explanation:

7 0
3 years ago
The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.
Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

h(t)=-16t^2+80t+64

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A)  Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

so

For h(t)=0

-16t^2+80t+64=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+80t+64=0

so

a=-16\\b=80\\c=64

substitute in the formula

t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}

t=\frac{-80\pm\sqrt{10,496}} {-32}

t=\frac{-80+\sqrt{10,496}} {-32}=-0.70

t=\frac{-80-\sqrt{10,496}} {-32}=5.70

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

-16t^2+80t+64=40

-16t^2+80t+24=0

Solve the quadratic equation

we have

a=-16\\b=80\\c=24

substitute in the formula

t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}

t=\frac{-80\pm\sqrt{7,936}} {-32}

t=\frac{-80+\sqrt{7,936}} {-32}=-0.28

t=\frac{-80-\sqrt{7,936}} {-32}=5.28

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0
3 years ago
Diego and Pablo disagree on whether 0.8759 is a rational number or not. Diego says it is not rational, and Pablo says that it is
mina [271]

Pablo is correct because , the number 0.8759 is rational number because it doesn't go on like pi or the square root of 2 it stops at a certain point and was probably rounded . I'm not sure if its 100% correct.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Find the area of the following shape. Show work.
Serga [27]

Answer:

The total area:

12 units²

Step-by-step explanation:

There are three parts on this shape:

1 big right triangle

1 rectangle

1 small right triangle

  • Big right triangle:

area = (4*4)/2 = 16/2 = 8units²

  • Rectangle:

area = 2*1 = 2units²

  • Small right triangle:

area = (2*2)/2 = 2units²

  • Total area

8+2+2 = 12 units²

6 0
3 years ago
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