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Natalija [7]
3 years ago
13

Show the original equation, then solve for x

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer: 24.7

cos 54° = x/42

⇔ x = 42. cos 54°

⇔ x ≈ 24.7

Step-by-step explanation:

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A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t
Alchen [17]
The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
x = y - 7

\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\  \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\  \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\  \\ y(y-7) = 13(2y-7) \\  \\ y^2-33y+91 = 0 \\  \\ y = 29.96 \\  \\ x = y-7 = 29.96-7 = 22.96
Rounded to nearest tenth gives:
x = 23 hours
6 0
3 years ago
Choose the inverse of y = x2 - 10x.
PilotLPTM [1.2K]

=Y2-10Y

We move all terms to the left:

-(Y2-10Y)=0

We add all the numbers together, and all the variables

-(+Y^2-10Y)=0

We get rid of parentheses

-Y^2+10Y=0

We add all the numbers together, and all the variables

-1Y^2+10Y=0

a = -1; b = 10; c = 0;

Δ = b2-4ac

Δ = 102-4·(-1)·0

Δ = 100

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

3 0
3 years ago
Write an exponential equation in the form y = abx whose graph passes through points (4, 8) and (6, 32).
Artist 52 [7]

Answer:

Option C.

Step-by-step explanation:

The general exponential equation is

y=ab^x

It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.

8=ab^4       ...(1)

32=ab^6       ...(2)

Divide equation (2) by equation (1).

\dfrac{32}{8}=\dfrac{ab^6}{ab^4}

4=b^2

Taking square root on both sides.

2=b

Put b=2 in (1).

8=a(2)^4

8=16a

\dfrac{8}{16}=a

0.5=a

Substitute a=0.5 and b=2 in the given general exponential equation.

y=0.5(2)^x

Therefore, the correct option is C.

8 0
3 years ago
What is 8 and 7/12 times 3
Elza [17]
8\frac{7}{12} =  \frac{103}{12}
3=\frac{36}{12}

\frac{103}{12}×<span>\frac{36}{12}=</span>\frac{3708}{144}=\frac{103}{4}=23.75
7 0
3 years ago
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Elan Coil [88]

your answer would be 9 fish are left in the tank

5 0
3 years ago
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