The distance between the Town Hall and the Post Office is 4 km, and the distance between

Problems that are not answered I need help with quickly!

Anika [276]

Whats the problem? just substitute. For example: 3x-5 if x=4 so what you do is this; 3(4)-5=7

7 0

3 years ago

Expansion Numerically Impractical. Show that the computation of an nth-order determinant by expansion involves multiplications,

posledela

Answer:

number of multiplies is n!
n=10, 3.6 ms
n=15, 21.8 min
n=20, 77.09 yr
n=25, 4.9×10^8 yr

Step-by-step explanation:

Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...

mpy[n] = n·mp[n-1]

mpy[2] = 2

So, ...

mpy[n] = n! . . . n ≥ 2

__

If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...

10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10

Then the larger matrices take ...

n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min

n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years

n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years

_____

For the shorter time periods (less than 100 years), we use 365.25 days per year.

For the longer time periods (more than 400 years), we use 365.2425 days per year.

8 0

3 years ago

Luigi uses 39 cups of flour for every 6 pizzas he makes.Complete the table using equivalent ratios. Pizzas

zlopas [31]

Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used

x ---> the number of pizzas he makes

In this problem

The relationship between the variables x, and y, represent a proportional variation

we have the ordered pair (6,39)

so

$\frac{y}{x}=\frac{39}{6}$

Part 1) Find out the number of cups of flour needed to make 4 pizzas

using a proportion

$\frac{y}{4}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

Solve for y

$y=\frac{39}{6}(4)$

$y=26\ cups\ of\ flour$

Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

$\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}$

Solve for x

$x=13(6)/39$

$x=2\ pizzas$

6 0

2 years ago

Read 2 more answers

A type of cell triples every hour. If there are 5 cells initially, which function can be used to

laila [671]

Answer:

T(t) = 5(3)(t)

Step-by-step explanation:

There are 5 cells initially.

And it triple every hour.

So

T0 =5

T(t) = T0(3t)

Each cell has it's multipling factor because it's Will be multipling by 3 every hour

T(t) = 5(3)(t)

4 0

3 years ago

4x square+ 8 x - 5=0<br><img src="https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20-%205%20%3D%200" id="TexFormula1

Damm [24]

Answer:

$x = \frac{1}{2}$

$x = -\frac{5}{2}$

Step-by-step explanation:

Solve Using the Quadratic Formula

4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

−b ± √b^2 − 4 (ac)

-------------------------

2a

Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

−8 ± √82 − 4 ⋅ (4 ⋅ −5)

-------------------------

2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

−8 ± √64 − 4 ⋅ 4 ⋅ −5

x= ---------------------------

2 ⋅ 4

Multiply −4 by 4.

−8 ± √64 − 16 ⋅ −5

x = -------------------------

2 ⋅ 4

Multiply −16 by −5.

−8 ± √64 + 80

x = -------------------

2 ⋅ 4

Add 64 and 80.

−8 ± √144

x = --------------

2 ⋅ 4

Rewrite 144 as 12^2.

−8 ± √122

x = ------------

2 ⋅ 4

Pull terms out from under the radical, assuming positive real numbers.

multiply 2 by 4

−8 ± 12

x= ------------

8

simplify

−2 ± 3

x= ---------

2

The final answer is the combination of both solutions.

x= 1/2, -5/2

Hope this helped!

6 0

3 years ago

Read 2 more answers