A builder was paid £550 for the work he did. He spent 35% of the money on materials how much did the materials cost

The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha

zimovet [89]

The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

$\\ \\ W_{t}=96(0.5)^{t}$

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

3 0

3 years ago

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CAN SOMEONE PLEASE HELP ME ON NUMBER 3

boyakko [2]

Answer:

36

Step-by-step explanation:

5 0

3 years ago

Help idk how to do this

ki77a [65]

Answer:

√30

Step-by-step explanation:

We can find the value of x by using Euclidean theorem

x^2 = 3 × 10

if x^ = 30 then x = √30

3 0

2 years ago

The point (6, 7) is reflected across the y axis. what are the coordinates of the reflection

aev [14]

Answer:

Hello!!

the point (6, 7) is reflected across the y axis. what are the coordinates of the reflection?

(-6, 7)

Step by Step Explanation:

When reflecting (x, y) over the x axis is (x, -y)

When reflecting (x, y) over the y axis is (-x, y)

Hope this helps!

7 0

2 years ago

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Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape

shtirl [24]

Answer/Step-by-step explanation:

Let's highlight the dimensions of the bedroom and living room using the information given in the question:

==>Squared Bedroom dimensions:

Side length = w = x ft

Area = x*x = x²

==>Rectangular living room dimensions:

width = side length of the squared bedroom = x

length = (x + 9) ft

Area = L*W = x*(x+9) = x² + 9x

Now let's match each given expression with what they represent:

==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"

As we have shown in the dimensions of the squared bedroom above.

==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room

==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"

i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.

==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".

i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x

7 0

3 years ago