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3 years ago

Simplify to create an equivalent expression. −4(−11+4n)−3(−2n+9)

Mathematics

2 answers:

solmaris [256]3 years ago

5 0

-4(-11 + 4n) - 3(-2n + 9) Given

44 - 16n + 6n - 27 Distributive property

17 - 10n Combine like terms

17 - 10n is our final answer. :)

Jlenok [28]3 years ago

4 0

Answer: The required simplified expression is $17-10n.$

Step-by-step explanation: We are given to simplify and create an equivalent expression from the following expression :

$E=-4(-11+4n)-3(-2n+9)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To simplify the given expression, we need to evaluate the brackets first.

The simplification of expression (i) is as follows :

$E\\\\=-4(-11+4n)-3(-2n+9)\\\\=44-16n+6n-27\\\\=17-10n.$

Thus, the required simplified expression is $17-10n.$

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Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Fed [463]

Answer:

$\large \boxed{\text{0.0462 min}^{-1}}$

Step-by-step explanation:

One formula for the reproduction of bacteria is

$\dfrac{N}{N_{0}} = e^{kt}$

Data:

N = 2

N₀ = 1

t = 15 min

Calculation:

$\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}$

6 0

3 years ago

7n2 + 5 = 453 Solve the quadratic function

Reptile [31]

7n^2 + 5 = 453

Subtract 5 from both sides:

7n^2 = 448

Divide both sides by 7:

N^2 = 64

Take the square root of both sides:

N = 8

8 0

3 years ago

Read 2 more answers

What is the value of x rounded to nearest tenth

Ivahew [28]

Answer:

6.5 cm

Step-by-step explanation:

Here, the tangent line squared is equal to the secant line times the secant line outside the circle.

That is 20.2² = 14.7 * (14.7 + 2x) --> it is 2x because the secant goes through the whole circle.

Simplify: 408.04 = 216.09 + 29.4x

Subtract: 191.95 = 29.4x

Divide: x = 6.528911565 ≈ 6.5 cm

5 0

3 years ago

Help!!! Two customers took out car loans from a bank.

Nikitich [7]

Answer:

Susan paid $2220 more

Step-by-step explanation:

Use the interest formula:

I = Prt, where P - amount of loan, r- interest rate, t- time in years

Robert:

I = 30000*(4.9/100)*4 = 5880

Susan:

I = 30000*(4.5/100)*6 = 8100

Difference in amounts of interest:

8100 - 5880 = 2220

Susan paid $2220 more

8 0

2 years ago

Read 2 more answers

Solve x42=37 x 42 = 3 7 using two different strategies. Explain each strategy.

Dafna11 [192]

Given equation : $\frac{x}{42}=\frac{3}{7}$ .

Strategy 1: We can cross mutiply both sides remove fraction form.

On cross multiplication, we get

x * 7 = 3 * 42

7x = 126.

Dividing both sides by 7, we get

Strategy 2: We can find least common denominator(lcd) of both sides and multiplying both sides by that lcd to get rid denominators from both sides.

LCD of 42 and 7 is 42.

Therefore, multiplying both sides by 42, we get

$42\times \frac{x}{42}=42\times\frac{3}{7}$

x = 6 * 3

4 0

2 years ago