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3 years ago

I need help ASAP somebody

Mathematics

1 answer:

pogonyaev3 years ago

8 0

Answer:

The answer is B

Step-by-step explanation:

Its pretty obvious in the question. she has a starting amount of 150 and all u have to do is the find the slope of her selling t-shirts

Pls mark me as brainliest

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A 12 oz bottle of Clean Green dish soap is $1.80, while a 20 oz bottle costs $3.60. Which is the better buy?

shusha [124]

Answer: 20 oz at 0.18

Step-by-step explanation: 3.60 divided by 0.18 is 20. And 1.80 divided by 0.15 is 12. So it’s only 3 difference , in this case the 20 oz bottle for 0.18 cents an ounce wins

3 0

4 years ago

We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

$\frac{dT}{T-a}=kdt$

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago

Abigail runs a 35 mile race. After an hour she has run 20% of the race. How far did Abigail run in an hour?

Pie

Answer:

7 miles

Step-by-step explanation:

35 x 0.2 = 7 miles

5 0

3 years ago

Read 2 more answers

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