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Tamiku [17]
2 years ago
11

Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply. − 9 ⋅ ( 2 3 x ) + 9 ( 1 ) − 9 ⋅ ( 2 3 x

) − 9 ( 1 ) − 6 x + 9 − 9 ⋅ ( 2 3 x ) + 1 − 6 x − 9 − 6 x + 1
Mathematics
1 answer:
aleksley [76]2 years ago
7 0

Answer:

•(-9 × 2x/3 + 1 × -9)

•-6x - 9

Step-by-step explanation:

Which expressions are equivalent to Negative 9 (two-thirds x + 1)?

Check all that apply.

Negative 9 (two-thirds x + 1) can be expressed as:

-9(2/3x + 1)

Expanding the brackets

(-9 × 2x/3 + 1 × -9)

-6x - 9

Therefore, the expressions that are equivalent to Negative 9 (two-thirds x + 1) is:

•(-9 × 2x/3 + 1 × -9)

•-6x - 9

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a guy wire makes a 67 degree angle with the ground. walking out 32 ft further grom the tower,the angle of elevation to the top o
Shalnov [3]

Answer:

  39.5 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.

  Tan = Opposite/Adjacent

This lets us write two equations in two unknowns:

  tan(67°) = AD/CD . . . . . . . . . . angle at guy point

  tan(39°) = AD/(CD+32) . . . . . .angle 32' farther

__

Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.

  CD = AD/tan(67°)

  tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation

  tan(39°)(AD/tan(67°) +32) = AD

  32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term

  32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient

  AD ≈ 39.486 . . . . feet

The tower is about 39.5 feet high.

6 0
2 years ago
A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be
Andrei [34K]

Answer:

\$6,082.70  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$15,300\\r=14.25\%=0.1425\\x=6\ years

substitute in the formula

V=15,300(1-0.1425)^{6}  

V=15,300(0.8575)^{6}  

V=\$6,082.70  

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3 years ago
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Natalka [10]
Trapezoidal is involving averageing the heights
the 4 intervals are
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for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8

2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24

3rd
average betwen 1.0 and 1.5 is 1.25
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average betwen 1.5 and 2 is 1.75
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add them all up
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5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters
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2 years ago
For the new year, the instructor is thinking of changing his rates. The equation of the possible new rates is represented in the
Shtirlitz [24]

Answer:

(0,8)

Step-by-step explanation:

edge 2020

8 0
2 years ago
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36.00 will be enough to pay for fuel because if you multiply the 8.8 gallons of diesel needed by the fuel cost per gallon you get 35.112

6 0
2 years ago
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