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3 years ago

(8,3) and (-4,-3). Slope

Mathematics

1 answer:

Korolek [52]3 years ago

3 0

Answer:

The slope is 1/2

Step-by-step explanation:

The rate of y over the rate of x so it would be y/x. You put the equation y2-y1/x2-x1

Which would look like -3-3/-4-8= -6/-12=6/12 and then you simplify it to 1/2

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If a car can go 33 miles on a gallon of gas, how much gas will it use for 198 miles?

Anni [7]

Just do 198 divide by 33. The answer is how much gas will be used.

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3 years ago

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A box contains four red, three blue, and six green lenses. two lenses are randomly selected from the box. find the probability o

andrew-mc [135]

The probability of getting two red lenses when two are selected will be 2/13.

<h3>What is probability?</h3>

The probability of favorable events to the total number of occurrences.

A box contains four red, three blue, and six green lenses.

Two lenses are randomly selected from the box.

Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be

The total number of the event will be

Total event = ¹³C₂

Total event = 78

Then the favorable event will be

Favorable event = ⁴C₁ x ³C₁

Favorable event = 4 x 3 = 12

Then we have

P = 12 / 78

P = 2/13

More about the probability link is given below.

brainly.com/question/795909

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6 0

2 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

Use trigonometry to determine the m>DEC to the nearest degree

Rus_ich [418]

Answer:

m∠DEC = 50° to the nearest degree

Step-by-step explanation:

cos D = adjacent side/hypotenuse

= 36/56

m∠DEC = arccos (36/56) =50° to the nearest degree

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3 years ago

A conventional manager finds that she has 1250$,made up of twenties and fifties. She has a total of 40 bills. How many fifty dol

inna [77]

Black Pink In Your Area! BLACKPInk

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