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3 years ago

(7-10x)/5 simplify express on integers and fractions

Mathematics

1 answer:

Likurg_2 [28]3 years ago

8 0

Answer:

-2x + 7/5

Step-by-step explanation:

(7-10x)/5

= $\frac{-10x}{5}$ + $\frac{7}{5}$

= -2x + 7/5

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Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer

lina2011 [118]

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

(y - k)^2 = 4 * f * (x - h)

In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

= 4 * (-1.3) * x

= -5.2x

The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

4 0

1 year ago

The reference desk of a university library receives requests for assistance. Assume that a Poisson probability distribution with

NISA [10]

Answer:

a) 0.125

b) 7

c) 0.875 hr

d) 1 hr

e) 0.875

Step-by-step explanation:l

Given:

Arrival rate, λ = 7

Service rate, μ = 8

a) probability that no requests for assistance are in the system (system is idle).

Let's first find p.

a) ρ = λ/μ

$\frac{7}{8} = 0.875$

Probability that the system is idle =

1 - p

= 1 - 0.875

=0.125

probability that no requests for assistance are in the system is 0.125

b) average number of requests that will be waiting for service will be given as:

λ/(μ - λ)

$= \frac{7}{8 - 7}$

= 7

= λ/[μ(μ - λ)]

$= \frac{7}{8(8 - 7)}$

= 0.875 hour

(d) average time at the reference desk in minutes.

Average time in the system js given as: 1/(μ - λ)

$= \frac{1}{(8 - 7)}$

= 1 hour

(e) Probability that a new arrival has to wait for service will be:

λ/μ =

${7}{8}$

= 0.875

5 0

3 years ago

Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero sl

scoundrel [369]

Answer:

line will be horizontal running through (0,2)

Step-by-step explanation:

6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.

5 0

2 years ago

Transformation Rule:<br> Translate 4 units right and 3 units up.<br> B<br> Х<br> A

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Translation of a point (h, k) by 'a' units to the right and 'b' units upwards is defined by,

(h, k) → (h + a, k +b)

Coordinates of A → (-4, -2)

Coordinates of B → (1, -1)

Coordinates of C → (0, -5)

If these points are shifted 4 units right and 3 units up,

By applying rules of the translation,

Coordinates of image point A' → (-4 + 4, -2 + 3)

→ (0, 1)

Coordinates of B' → (1 + 4, -1 + 3)

→ (5, 2)

Coordinates of C' → (0 + 4, -5 + 3)

→ (4, -2)

Now plot these points on the graph.

6 0

2 years ago

Helppppp please!!!!!!!

Ludmilka [50]

A: yes because it is a linear equation, and a strait line on the graph. B: Point (0,0) represents when there was no time passed and no blocks walked. C: The unit rate is 10 blocks per 5 mins or 2 blocks per minute (I think that’s what unit rate is) D: point (10,5) I believe. I’m sorry if this is not correct, I tried

5 0

3 years ago