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Ira Lisetskai [31]
3 years ago
7

Four seconds pass between the first and third flash of a strobe light. The rate at which the strobe flashes is constant. How man

y seconds will pass between the first and the twelfth flash of the same light?
Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

t = 22 s

Step-by-step explanation:

If n is the number of strobe pulses

The first strobe pulse occurs at t = 0

t = 2(n - 1)

t = 2(12 - 1)

t = 2(11)

t = 22 s

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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0
4 years ago
Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.<br><br> 16x0 + 2x2 • y –1
swat32

Given that,

The given expression is : 16x^0+2x^2{\cdot}y^{-1}

To find,

The value of the above expression when x = 2 and y = 4

Solution,

We have,

16x^0+2x^2{\cdot}y^{-1}

Put x = 2 and y = 4 in the above expression.

16x^0+2x^2{\cdot}y^{-1}\\\\=16\times (2)^0+2(2)^2\times (4)^{-1}\\\\=16\times 1+2(2)^2\times\dfrac{1}{4}\\\\=16+2\\\\=18

So, the value of the above expression is 18.

6 0
3 years ago
The base of a rectangle is 15cm the perimeter is at most 94 cm. Write and solve an inequality to find the possible heights of th
tino4ka555 [31]
15 x 6 = 90 + 4 = 94 that's what I would do 
4 0
4 years ago
Studies have shown that omega-3 fatty acids have a wide variety of health benefits. Omega-3 oils can be found in foods such as f
Lerok [7]

Answer:

An null hypothesis is one that states there is no statistically significant relationship between two variables or a position that states something is not happening

An alternative hypothesis is one that states there is a statistically significant relationship between two variables or a position that states something is happening.

(a)

μ = 3800

μ > 3800

(b)

μ = 3800

μ < 3800

3 0
4 years ago
What is #10 written as an equation
WINSTONCH [101]
Y=mx+b *thats the equation for graphs like that*
7 0
4 years ago
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