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The age of Nina and sam are 15years and 10 years respectively now

They consists of equations and unknown variables

Let their current age be x and y

If five years ago, Nina was twice as old as Sam then;

x - 5 = 2(y-5)

If in five years she will be 1.5 times as old as Sam, then;

x = 1.5y

Substitute

1.5y - 5 = 2y -10

-0.5y  = -5

y =5/0.5

y = 10

Since x = 1.5y

x = 15years

Hence the age of Nina and sam are 15years and 10 years respectively now

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Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

The test statistic and p-value of the given data are 6.274 and 0.0001 respectively.

The test statistic can be calculated using the formula below

[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} }[/tex]

Solving for the mean and standard deviation, we can substitute the values into the above equation which will be

[tex]t = \frac{x-\mu}{\sigma / \sqrt{n} } = 6.274[/tex]

Using the data from the test statistic, we can calculate the p-value of the data

[tex]p-value = p(z < 6.274)= 0.0001 = 0.00[/tex]

From the calculation above, the test statistic and p-value of the given data are

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Answer:

right angle triangle

Step-by-step explanation:

by applying Pythagoras theorem

[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]

hence proved

Answer:

The answer is 340 ft²

To find the total area we make two squares and a big rectangle.

1st square

3x5=15

2nd square

5x5=25

Rectangle

20x15=300

Total Area

15+25+300 = 340ft²

Answer:

The market share of the companies is an illustration of fractions.

The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

The current market shares are:

After 6 months, we have:

Company A:

Company B:

Company C:

The amount of customers lost by each company is

Lost = Market share * [Share retained - Share lost to the other two companies].

So, we have:

A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9

B = 4/9 * [1/2 - 1/3 - 1/6] = 0

C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12

The amount of customers gained by each company is

Gain = Market share of company gained from * Share gained

So, we have:

A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108

B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216

C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54

The total gain in 6 months is:

Total Gain = Gain + Loss.

This gives

A = 25/108 + 1/9 = 37/108

B = 35/216 + 0 = 35/216

C = 5/54 - 1/12 = 1/108

Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively

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Answer:

Five units right and three units up.

If you notice there's a ' on the green triangle (a',b',c')

That means that the blue triangle was translated to get to the green triangle

Answer:

A function f:R→R is periodic if there exists some number t>0 such that

f(x)=f(x+t)

A constant function is periodic since you can take t=1,t=2, etc. (Hint: Hover over the tag "periodic-functions". What do you see?)

The fundamental period of f is the smallest of such t's. Since t cannot be 0, you are looking for the minimum of (0,∞), which does not exist.

Step-by-step explanation:

Step-by-step explanation:

1) the length of the side is:

[tex]\frac{4-\sqrt{2} }{\sqrt{2}}=2\sqrt{2}-1.[/tex]

2) the required perimeter is:

[tex]P=4(2\sqrt{2} -1)=8\sqrt{2} -4.[/tex]

3) the required area is:

[tex]A=(2\sqrt{2} -1)^2=9-4\sqrt{2}.[/tex]

Answer:

Side length = (2√2 - 1) units

Perimeter = (8√2 - 4) units

Area = (9 - 4√2) units²

Step-by-step explanation:

Properties of a square:

The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse, and the sides of the square being the 2 legs.

Let x = side length of the square

Using Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ x² + x² = (4 - √2)²

⇒ 2x² = 18 - 8√2

⇒ x² = 9 - 4√2

⇒ x = ±(2√2 - 1)

⇒ x = 2√2 - 1  only (as distance is positive)

Perimeter of a square = 4x

                                    = 4(2√2 - 1)

                                    = 8√2 - 4

Area of a square = x²

                            = (2√2 - 1)²

                            = 9 - 4√2

The set of data that might produce one of more gaps on thr histogram are:

A histogram is a graphical representation of data such that the data is organized by data points into user-specified ranges.

The categories of people highlighted above will cause gaps because there is an increased likelihood that their ages will vary greatly or be distanced from the mean.

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Answer:

3 2/4

Step-by-step explanation:

1 3/4 + 1 3/4 = 6 2/4

because 3/4 +3/4 = 6/4 = 1 2/4

and 1+1+1 =3

Answer:  [tex]3 \frac{1}{2}[/tex]

This is the same as writing 3 & 1/2 to mean "3 and a half".

Check out the diagram below. I've shaded the pizza slices to represent the mixed numbers being added. Notice in the bottom row I've moved one red slice over to make a full pie. Overall we have 3 full pies plus an extra half, when all is said and done.

Answer:

Answer is {C}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(6 ± 3i)/5

Step-by-step explanation:

12x = 9 + 5x²

5x² - 12x + 9 = 0

Method 1

Factors that add to = b (-12) and multiply to = ac (45):  3 and -15

5x² + 3x - 15x + 9 = 0

5x(x - 3) + 3(x + 3) = 0

(x-3) and (x+3) do not match !!!!

Method 2 - Quadratic Formula

-b ± √(b² - 4ac)/2a

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √((-12)² - 4(5)(9))/2(5)

12 ± √(144 - 180)/10

12 ± √-36/10

(12 ± 6i)/10

(6 ± 3i)/5

I hope this helps!

Answer:

x=0 and y=4 thats where the points meet

Step-by-step explanation:

solution of x and y:

both equations equal to y so you can put them together

3/5x+4=-x+4

separate the variables and numbers...

1.6x=0

x=0

y=4

if ur using a graph, use the y intercept (0,4) for your first point

then, using y=-x+4, make -x a fraction -1/1

by using rise/run go down one unit from (0,4) since its negative 1

then one unit to the right from where you are

you should be able to connect the points for the first equation

find the second equation on your own now:)

hmm a tough one ima go with 24

It would take about 60 hours to decay so that only 50g of the sodium remains

The half life is 15 hours and there are 800 g initially. Let N(t) represent the amount of sodium after t hours. Hence:

[tex]N(t)=800(\frac{1}{2} )^\frac{t}{15} \\\\For\ 50g\ to \ remain:\\\\50 = 800(\frac{1}{2} )^\frac{t}{15}\\\\t=60\ hours[/tex]

It would take about 60 hours to decay so that only 50g of the sodium remains

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Answer:

the answer is 1/27. C :))

Answer:

B. y = -|x - 2| + 5

Step-by-step explanation:

Here the parent function is |x|. It is flipped and translated upward by 5 units and shifted to the right by 2 units.

y = - |x - 2| + 5

hope this helps!! p.s. i really need brainliest :)

The value of x in a 18-gon that has an interior angle measurement of 2x - 6 is 55.33

Polygons are 2-dimensional shapes that are made of straight lines.

Therefore,

sum of interior angle of polygon = 180(n - 2)

where

Therefore,

sum of interior angle of polygon = 180(18 - 2)

sum of interior angle of polygon = 180(16)

sum of interior angle of polygon = 2880

Since, it is a 18-gon, the value of x can be found as follows;

2880  / 18 = 160 degrees

Therefore,

3x - 6 = 160

3x = 160 + 6

3x = 166

x = 166  /3

x = 55.3333333333

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Answer:

a 34 and 14

Step-by-step explanation:

let present age be x and y

equation 1

x-4=3(y-4)

x=3y-8

equation 2

x+6=2(y+6)

x=2y+6

then

2y+6=3y-6

y=14

x=34

Answer: multiply 10 to both terms and subrtact products

Step-by-step explanation:

10(5 - 2x)

multipy 10 to both terms

50  20x

subtract products

50 - 20x

Answer:

1. subtract 2×from get 3.×= 682+ 4672

Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

Answer:

-8

Step-by-step explanation:

This is the same as 4 x -2.

The parenthesis just means to multiply the number to the left by whatver is in the paranthesis when it is touching like that.

Answer:

You have to ask a question

Step-by-step explanation:

Answer:

c.155

Step-by-step explanation:

because it appears there the most :)