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Mrrafil [7]
2 years ago
8

Describe in words the surface whose equation is given. (assume that r is not negative.) θ = π/4

Mathematics
1 answer:
Delvig [45]2 years ago
7 0
An equation in the form \theta=\dfrac{\pi}{4} is the line 
that goes through the origins and whose tangent equates \dfrac{\pi}{4}. In general, any equation in the form \theta=\theta_0
is the equation of a line. 
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Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef
Mashutka [201]

Answer:

Mrs. Wright's paycheck is $630

Step-by-step explanation:

Let x = Mrs. Wright's paycheck.

Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9

She spent 1/3 on rent. This means that the amount spent on rent is

1/3 ×x x = x/3

Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9

= 5x/9

The remainder is her pay check - the amount that she spent on food and rent. It becomes

x - 5x/9 = (9x- 5x)/9 = 4x/9

She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.

Amount left = 4x /9 - x/9= 3x/9

She had $210 left. Therefore,

210 = 3x/9

3x = 9×210 = 1890

x = 1890/3

x = $630

3 0
2 years ago
A doctor observes a graph that shows the electrical activity (in volts) of the heart of a patient over a period of time (in seco
hodyreva [135]

Answer:

90 beats per minute

Step-by-step explanation:

By looking at the graph, we see that exactly at second 6, the 9th beat occurs. We can take that to beats/min by multiplying that relation by 10 (since there are ten 6sec in one minute).

9beats every 6sec * 10 = 90beats/min

6 0
2 years ago
Read 2 more answers
Jacob has a bag of his favorite marbles. It has 3 red marbles, 4 blue, and 10 of his most favorite color, neon orange. What is t
drek231 [11]

Answer:

P(1\ and\ 2) = 0.3309

Step-by-step explanation:

Given

Red = 3

Blue = 4

Orange=10

Required

Probability of selecting 2 orange marbles

The total number of marbles is:

Total = Red + Blue + Orange

Total = 3 + 4 + 10

Total = 17

The probability that the first selection is orange is:

P(1) = \frac{10}{17}

Because it is a selection without replacement, the number of orange marbles and the total number of marbles would decrease by 1, respectively.

So, the probability that the selection is orange is:

P(2) = \frac{10-1}{17-1}

P(2) = \frac{9}{16}

The required probability is:

P(1\ and\ 2) = P(1) * P(2)

P(1\ and\ 2) = \frac{10}{17} * \frac{9}{16}

P(1\ and\ 2) = \frac{10*9}{17*16}

P(1\ and\ 2) = \frac{90}{272}

P(1\ and\ 2) = 0.3309

7 0
2 years ago
Chris built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 time the width. W
Ira Lisetskai [31]
24= x+y
X= 3y-8
24= 3y-8+y
24=4y-8
32=4y
Y=8
X=16
4 0
2 years ago
8.73e16 in standard form
pentagon [3]
Answer is: 77575744.84403361
7 0
2 years ago
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