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belka [17]
4 years ago
5

The price of mailing a small package is 0.32 for the first ounce and 0.21 for each additional ounce. simone paid 1.16 to mail he

r package. how much did it weigh?
Mathematics
1 answer:
slavikrds [6]4 years ago
4 0
The package weighs 5 ounces <span>
</span>

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more</span>

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Jenny is going to tile her kitchen floor. She has taken out all the furniture and appliances. Jenny wants to know if she has got
Pavlova-9 [17]

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

5 0
3 years ago
Find the roots of the equation f(x) = x3 - 0.2589x2 + 0.02262x -0.001122 = 0
devlian [24]

Answer:

The root of the equation x^3-0.2589x^{2}+0.02262x-0.001122=0 is x ≈ 0.162035

Step-by-step explanation:

To find the roots of the equation x^3-0.2589x^{2}+0.02262x-0.001122=0 you can use the Newton-Raphson method.

It is a way to find a good approximation for the root of a real-valued function f(x) = 0. The method starts with a function f(x) defined over the real numbers, the function derivative f', and an initial guess x_{0} for a root of the function. It uses the idea that a continuous and differentiable function can be approximated by a straight line tangent to it.

This is the expression that we need to use

x_{n+1}=x_{n} -\frac{f(x_{n})}{f(x_{n})'}

For the information given:

f(x) = x^3-0.2589x^{2}+0.02262x-0.001122=0\\f(x)'=3x^2-0.5178x+0.02262

For the initial value x_{0} you can choose x_{0}=0 although you can choose any value that you want.

So for approximation x_{1}

x_{1}=x_{0}-\frac{f(x_{0})}{f(x_{0})'} \\x_{1}=0-\frac{0^3-0.2589\cdot0^2+0.02262\cdot 0-0.001122}{3\cdot 0^2-0.5178\cdot 0+0.02262} \\x_{1}=0.0496021

Next, with x_{1}=0.0496021 you put it into the equation

f(0.0496021)=(0.0496021)^3-0.2589\cdot (0.0496021)^2+0.02262\cdot 0.0496021-0.001122 = -0.0005150, you can see that this value is close to 0 but we need to refine our solution.

For approximation x_{2}

x_{2}=x_{1}-\frac{f(x_{1})}{f(x_{1})'} \\x_{1}=0-\frac{0.0496021^3-0.2589\cdot 0.0496021^2+0.02262\cdot 0.0496021-0.001122}{3\cdot 0.0496021^2-0.5178\cdot 0.0496021+0.02262} \\x_{1}=0.168883

Again we put x_{2}=0.168883 into the equation

f(0.168883)=(0.168883)^3-0.2589\cdot (0.168883)^2+0.02262\cdot 0.168883-0.001122=0.0001307 this value is close to 0 but again we need to refine our solution.

We can summarize this process in the following table.

The approximation x_{5} gives you the root of the equation.

When you plot the equation you find that only have one real root and is approximate to the value found.

5 0
3 years ago
Help me please ASAP PLEASEEEE
Nostrana [21]

Answer:

1 ,3,4

Step-by-step explanation:

6 0
3 years ago
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What is a real world problem with 1/4 divided by 1/8
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Diana is painting statues. She has 1/4 <span>of a gallon of paint remaining. Each statue requires 1/8</span><span> </span><span>of a gallon of paint. how many statues can she paint?</span>
7 0
4 years ago
What is the perimeter of a 4 inch square
algol [13]
16 inches.

There are four sides on a square, and if each side is 4 inches, multiply the 4 sides by 4 inches.

4 x 4 = 16
5 0
3 years ago
Read 2 more answers
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