Find the missing side length, indicate whether the side lengths form a Pythagorean triple, and identify the correct explanation.

Answer:

Step-by-step explanation:

(b - c)/b * (b+c)/b  Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example

[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]

What you get with your problem is

(b^2 - c^2)/b^2

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

Answer:

D: it is the only equation that has strictly positive exponents...

the function is "always going up"

if a function has a negative exponent 2^-x the curve will "decay"

[tex]2^{x^{2} }[/tex] the [tex]x^{2}[/tex] is always positive

Step-by-step explanation:

Answer:

C. 50 degrees

Step-by-step explanation:

Angle EDG is 90 degrees

x = 10

5 multiplied by 10 is 50

4 multiplied by 10 is 40

40+50=90

Answer:

50 = EDH

Step-by-step explanation:

We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;

EDH + HDG = EDG

 5x  +   4x  =   90

      9x = 90

        x = 90/9

        x = 10

Now that we know that value of x, we can say that;

EDH = 5x

since x = 10

EDH = 5(10)

EDH = 50

Hope this helps!

Answer:

non of the above thanks

don't ask me again please

Answer:

where are the functions ???

Step-by-step explanation:

Answer:

344064

Step-by-step explanation:

hope it is well understood

Answer:

Wait did you mean how many points will it be after an entire SEASON?

Answer:

The given symbol for the nth triangular number = Tₙ

The given symbol for the nth square number = Qₙ

The given symbol for the nth pentagonal number = Pₙ

The mathematical formula for the nth triangular number, Tₙ = n·(n + 1)/2

The nth square number is given by Qₙ = n²

The nth pentagonal number is given by Pₙ = n·(3·n - 1)/2

(a) T₃.ₙ₋₁ = (3·n - 1)·(3·n - 1 + 1)/2 = (3·n - 1)·(3·n)/2  = 3·(3·n - 1)·(n)/2 = 3·Pₙ

Therefore;

T₍₃.ₙ ₋ ₁₎ = 3·Pₙ

(b) Pₙ - Qₙ = n·(3·n - 1)/2 - n²

Expanding the above equation gives;

n·(3·n - 1)/2 - n² = (3·n² - n - 2·n²)/2 = (n² - n)/2 = n·(n - 1)/2

T₍ₙ ₋ ₁₎ = ((n - 1)· ((n - 1) + 1))/2 =  ((n - 1)· n)/2 = n·(n - 1)/2

∴ Pₙ - Qₙ = n·(3·n - 1)/2 - n² = n·(n - 1)/2 = T₍ₙ ₋ ₁₎

∴ Pₙ - Qₙ = T₍ₙ ₋ ₁₎

Therefore, we get;

P₃.ₙ - Q₃.ₙ = T₍₃.ₙ ₋ ₁₎

Where, T₍₃.ₙ ₋ ₁₎ = 3·Pₙ from (a) above, gives;

P₃.ₙ - Q₃.ₙ = 3·Pₙ

∴ P₃.ₙ - 3·Pₙ = Q₃.ₙ

Plugging in the values, gives;

P₃.ₙ = (3·n)·(3·(3·n) - 1)/2 = (3·n)·((9·n) - 1)/2

3·Pₙ = 3·n·(3·n - 1)/2

P₃.ₙ - 3·Pₙ = (3·n)·((9·n) - 1)/2 - 3·n·(3·n - 1)/2 = (3·n)·(((9·n) - 1) - (3·n - 1))/2

(3·n)·(((9·n) - 1) - (3·n - 1))/2 = (3·n)·(9·n - 1 - 3·n + 1)/2 = (3·n)·(6·n )/2 = 9·n²

Q₃.ₙ = (3·n)² = 9·n²

∴ P₃.ₙ - 3·Pₙ = P₃.ₙ - 3·Pₙ

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]

Answer:

A. 20.81 mph

Step-by-step explanation:

x = speed of the boat in still water.

one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.

and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :

10/(x + 15) + 10/(x - 15) = 2

10 + 10×(x+15)/(x-15) = 2×(x+15)

10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)

20x = 2×(x² - 225)

10x = x² - 225

0 = x² - 10x - 225

solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac)) / (2a)

a = 1

b = -10

c = - 225

(10 ± sqrt(100 - 4×1×-225)) / 2 =

= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =

= (10 ± 31.62) / 2

x1 = 41.62 / 2 = 20.81 mph

x2 is negative and did not make any sense.

Answer:

4,324,386 students

Step-by-step explanation:

Student population in 2015 = 3,845,721

Percentage of students population in 2015 = 100%

Percentage increase of students each year = 1.18%

What will the student population of Algebra City be in the year 2025?

2025 population = 3,845,721(100% + 1.18%)^t

Where

t = number of years

= 2025 - 2015

= 10 years

2025 population = 3,845,721(100% + 1.18%)^t

= 3,845,721(1 + 0.118)^10

= 3,845,721(1.0118)^10

= 3,845,721(1.1244670934955)

= 4,324,386.7152646077555

Approximately,

= 4,324,386 students

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

Answer:

Add 25 to each side using the addition property of equality

Step-by-step explanation:

10x − 25 − 3x = 4x − 1

Step 1: 7x − 25 = 4x − 1  Combine like terms

Step 2: 7x = 4x + 24   Add 25 to each side using the addition property of equality

Answer:

C

Step-by-step explanation:

In fact the point doesn’t lies on the graph or between the lines

Answer:

0.7

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Simplified fraction=7/10. 7/10=0.7

Answer:

p-$125= reduced price

Step-by-step explanation:

reduced implies that the $125 was SUBTRACTED from the original price.

Answer:

Here is your answer....

Hope it helps.....

Answer:

-3

Step-by-step explanation:

expand the bracket by multiplying everything

inside by 3

after that collect like terms

then solve to come up with -3 as ur answer

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

9514 1404 393

Answer:

  35 cm²

Step-by-step explanation:

You can count the squares, or ...

Any way you do this, there are 35 square, so the area is 35 square centimeters.

Answer: 4 bags of oranges and 3 bags of apple

Step-by-step explanation:

Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

[tex]d=a_2-a_1=12-6[/tex]

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Substitute the value of a

Now, we get

[tex]a_n=6+(n-1)d[/tex]

f(1)=a=6

[tex]a_n=f(n)=6+d(n-1)[/tex]

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

Answer:

500

Step-by-step explanation:

( 4 x 10^7 ) ÷ ( 8 x 10^4 )

= ( 4 x 10^4 ) ( 10^3 ) ÷ ( 4 x 10^4 ) x 2

= 10^3 ÷ 2

= 1000 ÷ 2

= 500

Answer:

30, half

Step-by-step explanation:

mean of A = (10*5+7*20+2*30+40+4*50+80)/20 = 28.5

mean of B = (2*20+40+5*50+3*60+8*70+80)/20 =57.5

difference =57.5-28.5 =29

mean absolute deviation = (the sum of every data point - mean)/total number

in this case,

MAD = 304/20 = 15.2

Answer:

30 , twice

Step-by-step explanation:

i just did the lesson and got it right

t

Answer:

Post them individually

Step-by-step explanation:

1. B

2. 4th option ,----> Megan's at 2.5 per week

Megan's plant:

slope = 7-4.5/2-1 = 2.5= growth rate

Suzanne's plant:

slope = 7-5/2-1= 2 = growth rage

3.D

4 2nd option , $2 for each song

Rate of change = 6-4/3-2 = 2

Answer:

the slope is 1

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, 9)

m = [tex]\frac{9-4}{4-(-1)}[/tex] = [tex]\frac{5}{4+1}[/tex] = [tex]\frac{5}{5}[/tex] = 1

Answer:

A conjecture that can be made is that the line that contains the diagonal from the tip to the vertex of the tail of a dart and the diagonal that joins the fin angles are perpendicular to each other

Step-by-step explanation:

Question; Make a conjecture about the line that contains the diagonal from the tip to the vertex of the tail of a dart and the diagonal that joins the fin angles

Explanation;

We note that a diagonal is a straight line that joins one corner of a polygon with another corner of the polygon from the vertex points of the connected corners

The diagonal that joins the fin angles forms an isosceles triangle at the tail of the dart, and the locus of the line that forms the diagonal from the tip to the tail is a equidistant from the vertex of the fin angles

Therefore, the diagonal from the tip bisects the diagonal that joins the fin angles bisects the base of the formed isosceles triangle while passing through the vertex of the isosceles triangle, it is therefore, perpendicular to the base of the isosceles triangle which is the diagonal that joins the fin angles

A conjecture that can be made is that the line that contains the diagonal from the tip to the vertex of the tail of a dart and the diagonal that joins the fin angles is therefore, that they are perpendicular to each other

Answer:

C. 64°

Step-by-step explanation:

[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{7}{16} }} \\ \\ { \tt{ \theta = { \cos }^{ - 1} ( \frac{7}{16} )}} \\ \\ { \tt{ \theta = 64 \degree}}[/tex]

Answer:  Choice C) 64 degrees

Work Shown:

[tex]\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{7}{16}\\\\\cos(\theta) = 0.4375\\\\\theta = \cos^{-1}(0.4375)\\\\\theta \approx 64.0555^{\circ} \\\\\theta \approx 64^{\circ} \\\\[/tex]

Note: some calculators will use the notation arccos in place of the [tex]\cos^{-1}[/tex]