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Lelechka [254]
2 years ago
10

Help pls plsssssssss

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
4 0

Answer:

area = 0.5 \times height \times width \\  = 0.5 \times (x + 2) \times (x +2  - 7) = 4 \\ 4  \div 0.5 = (x + 2)(x - 5) = 8 \\  {x}^{2}  - 3x - 10 = 8 \\  {x}^{2}  - 3x - 18 = 0 \\ (x - 6)(x  + 3) = 0 \\ x =  - 3 \\ x = 6

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As part of a screening process, computer chips must be operated in an oven at 145 °C. Ten minutes after starting, the temperatur
Novosadov [1.4K]

Answer:

Step-by-step explanation:

I solved this using initial conditions and calculus, so I hope that's what you are doing in math.  It's actually NOT calculus, just a concept that is taught in calculus.

The initial condition formula we need is

y=Ce^{kt}

Filling in our formula with the 2 conditions we are given:

65=Ce^{10k}   and   85=Ce^{15k}

With those 2 equations, we have 2 unknowns, the C (initial value) and the k (the constant). We know that the initial value (or starting temp) for both conditions is the same, so we solve for C in one equation, sub it into the other equation and solve for k.  If

65=Ce^{10k} then

\frac{65}{e^{10k}}=C which, by exponential rules is the same as

C=65e^{-10k}

Since that value of C is the same as the value of C in the other equation, we sub it in:

85=65e^{-10k}(e^{15k})

Divide both sides by 65 and use the rules of exponents again to get

\frac{85}{65}=e^{-10k+15k} which simplifies down to

\frac{85}{65}=e^{5k}

Take the natural log of both sides to get

ln(\frac{85}{65})=5k

Do the log thing on your calculator to get

.2682639866 = 5k and divide both sides by 5 to find k:

k = .0536527973

Now that we have k, we sub THAT value in to one of the original equations to find C:

65=Ce^{10(.0536527973)}

which simplifies down to

65=Ce^{.536527973}

Raise e to that power on your calculator to get

65 = C(1.710059171) and divide to solve for C:

C = 38.01038064

Now sub in k and C to the final problem when t = 23:

y=38.01038064e^{(.0536527973)(23)} which simplifies a bit to

y=38.01038064e^{1.234014338}

Raise e to that power on your calculator to get

y = 38.01038064(3.434991111) and

finally, the temp at 23 minutes is

130.565

6 0
3 years ago
18 - (-f) = 91 (With work please)
borishaifa [10]

18 - (-f) = 91

Subtracting a negative value changes to addition:

18 + f = 91

Subtract 18 from both sides:

F = 73

6 0
2 years ago
Read 2 more answers
Insert 2 sets of parentheses to make each sentence true: 2 x 14 – 9 – 17 – 14 = 7
Morgarella [4.7K]

Answer:

- 12

Step-by-step explanation:

2x14= 28

28-9=19

19-17=2

2- -14= - 12

3 0
3 years ago
Three less than the product of a number and two increased by five
natima [27]
The expression can be written as:

(2x + 5)  - 3

or:

5 + (2x - 3)
________________________
and simplified to: "2x + 2" .
_________________________

4 0
3 years ago
Which calculation IS equivalent to 12 x (24 + 17)?
Nitella [24]

The answer is d 41 X 12= 492

Step-by-step explanation:

12 (12 + 17)

12(41)

= 492

5 0
2 years ago
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