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natta225 [31]
2 years ago
9

Determine the intercepts of the line.

Mathematics
1 answer:
kifflom [539]2 years ago
6 0

Answer:

x-intercept: (3, 0)

y-intercept: (0, -10)

Step-by-step explanation:

<u>X-intercept:</u>

We can see that the line crosses the x-axis at the 3. Let's imagine that this automatically makes a point. If the point is directly on the line, that means that the opposite coordinate (in this case, the y-coordinate) will be 0. This is because the point is directly at the 0 on the y-axis; it doesn't go up nor down.

<u>Y-intercept:</u>

The same goes for the opposite coordinate: if we picture a point at where the line intercepts the y-axis, there will be a point at -10 on the y-axis. Since the point is directly at 0 on the x-axis (meaning that it doesn't go left nor right) we know that the x-coordinate will be 0.

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Solve 6 times e^0.25t = 9 for t
Svetlanka [38]

Answer:

t =1.621860432

Step-by-step explanation:

6e^0.25t = 9

Divide each side by 6

6/6e^0.25t = 9/6

e^0.25t = 3/2

Take the ln of each side

ln e^0.25t =  ln (3/2)

.25t = ln (3/2)

Divide each side by .25

.25t/.25 = 1/.25 ln (3/2)

t = 4 ln (3/2)

t =1.621860432

3 0
3 years ago
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Analyze the conditional statement below and complete the instructions that follow.
morpeh [17]

Answer:

If you did not break it, Then you did not by it.

Step-by-step explanation:

8 0
3 years ago
There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba
Brums [2.3K]

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

P(A) = 0.3*0.5 + 0.6*0.5 = 0.45

Probability of a red ball from box A:

0.3 of 0.5, so:

P(A \cap B) = 0.3*0.5 = 0.15

What is the probability that this red ball is from box A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333

0.3333 = 33.33% probability that this red ball is from box A.

8 0
3 years ago
Work out the area of the trapezium ABDE.<br> B<br> 9 cm<br> 6 cm<br> 8 cm<br> →D<br> E
Evgen [1.6K]

Answer:

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

\frac{AE}{BD}= \frac{CE}{CD}

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CE = \frac{9\times 8}{6}

CE = 12 cm

Therefore, DE = CE - CD

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Now area of trapezium ABDE = \frac{1}{2}(AE+BD)(DE)

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Therefore, area of the trapezium ABDE = 30 cm²

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Round 59.6487 to 2 decimal places?
Marysya12 [62]

Answer:

Step-by-step explanation:

round 59.6487 to 2 decimal places=

59.65

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2 years ago
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