Relay Race Results
10. The table shows the time each
member of two relay teams took
to complete her leg of a relay race.
Team II won the race by 2 s. How
many seconds did Trina take to
run her leg of the race?
Leg
1
Team 1
Name
Time (s)
Ali
22
Bryn 25
Mai
23
Team II
Name
Time (s)
Lea
23
Niki
22
Trina
2
3
4
Tara
21
Sara
20

Answer:

l = t/4v² - 1

Step-by-step explanation:

Given the expression

v = √l+t/2√l

We are to make l the subject of the formula as shown;

Cross multiply

2v√l =  √l+t

Square both sides

(2v√l)² =  (√l+t)²

4v²l = l+t

t = 4v²l - l

t = l(4v² - 1)

Divide both sides by 4v² - 1

t/4v² - 1 = l(4v² - 1)/4v² - 1

t/4v² - 1 = l

Swap

l = t/4v² - 1

Hence the required expression for l is t/4v² - 1

Answer:

27/1

Step-by-step explanation:

3³=3·3·3=27

27=27/1

Answer:

1.44

Step-by-step explanation:

1.63-.19= 1.44

Answer:

0.37

Step-by-step explanation:

To resolve the given problem we will apply

persistent time Markov chain :   n = 0, 1, . . . , 4

 n = number of individuals pausing

where The equalization conditions are : πn = ( πn - 1/2 )

Given that  :

n = 0,1,2,3,4

π0 = 1/( 1 + 2−1 + 2−2 + 2−3 + 2−4) = 0.52 = 16/31

Also the normal number of travelers found by Ella will be represented as

E(N) = (π1 + 2π2 + 3π3) / ( π0 + π1 + π2 + π3) ------- ( 1 )

where : π1 = 8,  π2 = 4,  π3 = 2 , π0 = 16/31  input values into equation 1

E ( N ) =  22/30

given that the True to form hanging tight time = 0.5

hence Holding holding time = E(N ) * 0.5

therefore  the expected waiting time for Ella = ( 22/30 ) * 0.5 = 0.37

Answer:

Step-by-step explanation:

You must place in the question sign box the value of x that is above the question sign box because you are trying to fill out the y row.

Example: y=[tex]-\frac{0}{3} +2[/tex]= -0+2=2

Answer:

Step-by-step explanation:

tip:

plug the x values from the table ( the top row values ) into the equation

in this case its 0

BOX 1:

[tex]-\frac{0}{3} +2\\[/tex]

0 divided by anything = 0

so, 0 + 2 = 2

box 1 = 2

BOX 2:

[tex]-\frac{3}{3} +2[/tex]

3 div by 3 = 1 ( in this case negative 1 )

so, -1 + 2 = 1

box 2 = 1

BOX 3:

[tex]-\frac{6}{3} +2[/tex]

6 div by 3 = 2 ( in this case negative 2)

-2 + 2 = 0

box 3 = 0

Answer:

x

)

=

2

x

4

−

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

−

1

x−1?

Answer:

Theres nothing to solve for wheres the numbers?

Step-by-step explanation:

The value of hydronium ion concentration in the vinegar is 3.162×10^-3 (optionD)

pH is defined as the negative log of the hydrogen ion concentration. The range of pH extends from zero to 14. A pH value of 7 is neutral, because pure water has a pH value of exactly 7.

pH can also be defined as the measure of acidity and alkalinity of a substance.

pH = –log(H+)

Therefore (H+) = 10^-(pH)

For a pH of 2.5, the hydronium ion concentration

= 10^-2.5

(H+) = 0.003162 = 3.162×10^-3

Therefore hydronium ion concentration of the vinegar is 3.162×10^-3

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Answer:

-7, 7

Step-by-step explanation:

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8) Hope that helps :)

I'm assuming x and y intercepts which would be (2.5,0) and (0,10)

Answer:

what did the answer end up being?

Step-by-step explanation:

Answer:

it too far i can't see it

Step-by-step explanation:

Answer:

78,799 children's tickets

Step-by-step explanation:

147,523 total tickets, 68,724 adult tickets

Subtract to find amount of children's tickets:

147,523-68,724 = 78,799

Answer:

205

Step-by-step explanation:

Step-by-step explanation:

-11-7-3+1+225

-21+1+225

-20+225

205

Answer:

<A=45°

Hope this helps you

Answer:

45

Step-by-step explanation:

Answer: I think you forgot to post the picture

Step-by-step explanation:

Answer: D

Step-by-step explanation:

If the graph is shifted 5 units down, each output value should decrease by 5.

alr! so we know that there are around 52 weeks in a year (not counting leap years). and you save up 100 bucks every 2 weeks. then to find the answer, we do...

100(52/2)

100(26)

= $2600

youre welcome!

Answer:

here is the correct answer

Answer:

1) 17.5×14×64

2) volume= 0.5×3.6×10×5=

3) d= 13, r=13/2= 6.5, h= 19

4) Base Area= a+b/2×h

5) L×W×H

6) v=πr²h

[tex]------------[/tex]

hope it helps...

have a great day!!

[tex] \huge \boxed{1}[/tex]

→17.5 × 14 × 6.4

→1568 in³

[tex] \huge \boxed{2}[/tex]

→0.5 × 3.6 × 10 × 5

→90 m³

[tex] \huge \boxed{3}[/tex]

→ Diameter = 13 mm

→ Radius = 13/2 = 6.5

→ Height = 19 mm

→Volume => πr²h

=> 22/7 × (6.5)² × 19

=> 2521.91 mm³

[tex] \huge \boxed{4}[/tex]

→ Base Area → a+b/2×h

→ (37+15)/2×25.7 cm²

→26×25.7 cm²

→ 668.2 cm²

(height= 20cm)

→volume => 668.2×20

→13364 cm²

[tex] \huge \boxed{5}[/tex]

→Area→ L × B × H

→ 25×7×18

→ 175×18

→ 3150 ft³

[tex] \huge \boxed{6}[/tex]

→Volume → πr²h

→ π(3.2²)(8)

→ 81.92π

→ 257.36 km²

[tex] \boxed{Extra-Information}[/tex]

[tex] \bold \green{TheExtraterrestrial}[/tex]

Answer:

------------------------------------------

4 1/2% of 50 is 4.5% of 50 which is same as:

or substituting % with 1/100,

The matching choices are A and B.

The  slope of the table below? 3/8 15/12 9/10 0/7 is 23.8

Slope is defined as the rate of change of y with respect to x.  Invariably, it it the rise in y over the run  in x. put differently, slope is increase over increase in x

The slope of a line is defined

S= (increase in y)/(Increase in x) = Δy/Δx

Slope = (0/7 - 18/12) ÷ (9/10 -3/8)

Slope = 15/12 ÷ 42/80

Simplify the fractions to have

Slope = 15/12 * 80/42

The slope = 1200/504

Slope of the table is given as 23.4

Conclusively, the table gives us a slope approximately 23

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To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

ΔABC and ΔDEF

To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.

Thus,

ΔDEF is filled in the box.

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Answer:

The answer to your question is the third one

Step-by-step explanation:

The first graph is the graph of a

The second graph is of a rational function

The third one is of an exponential function

vasta third one dzuh

Any graph that looks like the above (big on the left and crawling along the x-axis on the right) displays exponential decay, rather than exponential growth. For a graph to display exponential decay, either the exponent is "negative" or else the base is between 0 and 1.

Answer:

-93

Step-by-step explanation:

Substitute by - 3 instead of X

Answer:

The answer is [tex]12\log{(x(x-2))}[/tex]

Step-by-step explanation:

Exponential property of logarithm:

We have that:

[tex]a \log{x} = \log{x^{a}}[/tex]

Sum of logarithms:

We have that:

[tex]\log{a} + \log{b} = \log{ab}[/tex]

Applying the exponential property:

[tex]3\log{x} = \log{x^3}[/tex]

[tex]4\log{(x-2)} = \log{(x-2)^4}[/tex]

So

[tex]3\log{x} + 4\log{x-2} = \log{x^3} + \log{(x-2)^4}[/tex]

Additive property

[tex]\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}[/tex]

Exponential property:

[tex]\log{(x(x-2))^12} = 12\log{(x(x-2))}[/tex]

The answer is [tex]12\log{(x(x-2))}[/tex]

Answer:

range is y-coordinates so it should be 40

Step-by-step explanation:

domain is x-coordinates

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

95% confidence interval , n = 10

For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]

Substituting the values in above equation

[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]

= 2.62×18.99

=42.955

= 550±42.95

=(507.05, 592.95)

Answer:

2156000 J.

Bonus: 2 snickers bar

Step-by-step explanation:

Applying

P.E = mgh................. Equation 1

Where P.E = Gravitational potential energy, m = mass of the person, h = height of the mountain, g = acceleration due to gravity.

From the question,

Given: m = 55 kg, h = 4000 m

Constant: g = 9.8 m/s²

Substitute these values into equation 1

P.E = (55×4000×9.8)

P.E = 2156000 J.

If one snikers bar is 1100000 J of energy,

Then, (2156000/1100000) snickers bar would be enough to climb the mountain

Number of snickers bar =  (2156000/1100000)  = 1.96 ≈ 2