5- How many 50ml glasses can you fill from a 2 litre bottle?​

Answer:

Hypotenuse = 5√2 units

Step-by-step explanation:

Triangle ABC:

The legs are 5 units each

Opposite = 5unit

Adjacent = 5unit

Triangle ACB:

lengths of sides A C and C B are 5

The legs are 5 units each

Leg =AC = Opposite = 5unit

Leg = CB = Adjacent = 5unit

The hypotenuse for both ∆ACB is unknown. Since ∆ACB is a right angled triangle, we would apply Pythagoras theorem to find the hypotenuse.

Using Pythagoras theorem:

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = leg² + leg²

AB = hypotenuse in ∆ACB

AB² = 5² + 5²

AB² = 25+25 = 50

AB = √50 = √(25×2)

AB = 5√2

Hypotenuse = 5√2 units

Answer:

The answer is B! Person above me is right!

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2 + 3)/(4 - 2)= 5/2

y + 3 = 5/2(x - 2)

y + 3 = 5/2x - 5

y = 5/2x - 8

2y = 5x - 16

5x - 2y = 16

Answer:

C.

Step-by-step explanation:

It is the complement of the circle in the square

Okay,

Let the square be Universal set(U) and the circle be A

So

A complement = A' = U-A So

The shaded area is the complement of the circle

The answer is [-1/2-1/2]

The range of the function f(x) is [-1/2, 1/2].

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f.

For the given situation,

The function f(x) = 1/2sin(2x-π)

The graph below shows the range of the function f(x) = 1/2sin(2x-π) graphically.

As the range of sinx function is [-1, 1], the range of sin2x is also [-1, 1].

Let us consider [tex]\theta = 2x-\pi[/tex]

⇒ Then, [tex]sin \theta[/tex] lies in the range [tex][-1,1][/tex]

⇒ [tex]-1\leq sin(2x-\pi )\leq 1[/tex]

⇒ [tex](\frac{1}{2} )(-1)\leq sin(2x-\pi )\leq( 1)(\frac{1}{2} )[/tex]

⇒ [tex]\frac{-1}{2} \leq sin(2x-\pi )\leq\frac{1}{2}[/tex]

Hence we can conclude that the range of the function f(x) is [-1/2, 1/2].

Learn more about range of a function here

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Answer:

Step-by-step explanation:

A = P[1 + (r/n)]^(nt)

Look the formula up online to find out what each variable represents if needed.

We are solving for P, which is the principal amount 5 years back.

Substitute 11,000 for A (total amount), 4.5% for r(rate), 2 for n(number of times -- in this case, semiannually), and 5 for t(time -- 5 years).

11000 = P[1+(0.045/2)]^(2x5)

11000 = P (1.0225)^10

11000 = P (1.2492)   approx.

Divide both sides by 1.2492 to find P.

P = $8805.64  (approx)

I know that the answer I got is not an option listed. However, I feel that my workings may help other people to answer this question or give them inspiration to answer similar questions. Therefore, I will leave this answer up.

Thanks, and sorry I couldn't do much.

Answer:

Incorrect

Step-by-step explanation:

It is incorrect because all even numbers have a factor of 1.

That is odd.

Answer:

False

Step-by-step explanation:

even numbers has odd  & even factors

6 is an even number

Factors of 6 = 2 , 3

Where 3 is a odd number

Answer:

The amount he will have at the end of five years is $11,616.8

Interest on the amount is $1,616.8

Step-by-step explanation:

Kindly check the attached picture for explanation.

Answer:

Area = 2.33 mm²

Explanation:

Perimeter of quarter circle = 14.28

But

Perimeter of quarter circle = 2πr+2r

So

2πr+2r = 14.28

6.3r+2r = 14.28

8.3r = 14.28

r = 14.28/8.3

r = 1.7 mm

Now the Area

Area of quarter circle = 1/4(πr²)

= 1/4(3.14)(1.7)²

= 1/4(3.14)(2.97)

= 1/4(9.34)

= 2.33 mm²

Answer:

x is 4 and y is 3.

Step-by-step explanation:

The scale factor between the triangles is 2, as you can see. The hypotenuse of the small triangle is 5 while the hypotenuse of the larger one is 10, so the scale factor between the triangles is 2. This means you can divide the other leg lengths of the large triangle by 2 to find the lengths for the corresponding legs of the small one.

Answer/Step-by-step explanation:

The length of the boxes and whiskers of a box plot tells us more about the spread the data being represented is and as well as the shape of the spread.

Invariably, if the length of the left box and left whiskers is of the same length as the right box and right whiskers, this implies that the distribution of the data point is close to being symmetric, or approximately symmetrical.

Answer:

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

Step-by-step explanation:

The water tower has the shape of  a cylinder with a cone on top . The volume of the water tower can be find when you find the sum of the volume of the cylinder and the cone.

Therefore,

volume of the cylinder = πr²h

where

r = 12/2 = 6 ft

h = 15 ft

volume = π × 6² × 15

volume = π × 36 × 15

volume of the cylinder = 540π

Volume of the cone = 1/3πr²h

r = 6 ft

Using tangential ratio we can find the height which is the opposite side of the triangle

tan 25° = opposite/adjacent

tan 25° = h/6

cross multiply

h = 6 tan 25°

h = 6 × 0.46630765815

h = 2.79784594893

h = 2.8 ft

volume of the cone  =  1/3πr²h

volume = 1/3 × π × 36 × 2.8

volume = 100.8π/3

volume = 33.6π

Volume of the tower system = 540π + 33.6π =  573.6π

volume of the tower system = 573.6 × 3.14 = 1801.104 ft³

1 cubic ft  = 7.48 gallons

1801.104 cubic fit = ? gallons

cross multiply

gallons = 1801.104 × 7.48

gallons = 13472.25792  gallons

The residents drains the water at the rate of 56 gallons per minute. Therefore,

56 gallons = 1 minutes

13472.25792  gallons = ? minutes

number of minutes = 13472.25792  /56

number of minutes = 240.576034286

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

Answer:

[tex]11\dfrac{3}{8}\text{cm}[/tex]

Step-by-step explanation:

[tex]1\dfrac{5}{8}+2\dfrac{9}{16}+2\dfrac{9}{16}+4\dfrac{1}{8}=11\dfrac{3}{8}[/tex]

Hope this helps!

Answer:

Tangent

Step-by-step explanation:

Tangent intersects a circle at exactly one point

Answer:

x=36 degrees

Step-by-step explanation:

Remember that all angles of a triangle must add up to 180 degrees due to the Angle Addition Postulate. So let's plug it in! x+65+79=180

Now you solve, x=180-79-65

x=36!

x=36 degrees

Answer:

Option B

Step-by-step explanation:

All interior angles of a triangle add up to 180°.

[tex]79+65+x=180\\144+x=180 \\144-144+x=180-144\\\boxed {x=36}[/tex]

The missing angle is 36°.

Option B should be your correct answer.

Answer:

c+r+d= 200

1.50c+5.75r+2.60d= 589.50

r=d-20

Step-by-step explanation:

From the information given you have that Billy's restaurant ordered roses, daisies and carnations that total 200 flowers. The first equation is:

c+r+d= 200

c= number of carnations

r= number of roses

d= number of daisies

Also, you can say that the sum of the results of multiplying the price of each flower for its quantity is equal to $589.50. The second equation is:

1.50c+5.75r+2.60d= 589.50

Besides, from the statement you know there are 20 fewer roses than daisies and from that you can write the third equation:

r= d-20

The system of linear equations that can be used to find c, the number of carnations, r,  the number of roses, and d, the number of daisies is:

c+r+d= 200

1.50c+5.75r+2.60d= 589.50

r=d-20

complete question:

The picture below is the complete question.

Answer:

base of the triangles = 3 cm

Step-by-step explanation:

The trapezoid was broken into 2 congruent triangles and a rectangle. The 2 triangle have a height of 12 cm . The rectangle has a height of 12 cm and width of 14 cm .

The base length of the triangle can be computed as follows.

Note a congruent triangle have exactly the same three sides and exactly the same three angles.

area of a triangle = 1/2 × base × height

From the area of the trapezoid one can calculate the sides of the triangle.

area of the trapezoid = 1/2 × (a + b)h

where

a = top side

b = base side

h = height

area of the trapezoid = 1/2 × (a + b)h

area of the trapezoid = 1/2 × (14 + 20)12

area of the trapezoid = 1/2 × 34 × 12

area of the trapezoid = 34 × 6

area of the trapezoid = 204 cm²

204 = area of the triangles + area of the rectangle

204 =2 (1/2bh) + lw

where

b = base of triangle

h = height of triangle

l = length of rectangle

w = width of rectangle

204 = bh + (14 × 12)

204 = 12b + 168

12b = 204 - 168

12b = 36

divide both sides by 12

b = 36/12

b = 3 cm

base of the triangles = 3 cm

Answer:

3

Step-by-step explanation:

I got 4cm wrong in the unit test and it showed me that the answer was 3cm

1000ML = 1 L

78ML ?

78*1/1000 = 0.078 L

Answer:

a) 0.164 = 16.4% probability that a disk has exactly one missing pulse

b) 0.017 = 1.7% probability that a disk has at least two missing pulses

c) 0.671 = 67.1% probability that neither contains a missing pulse

Step-by-step explanation:

To solve this question, we need to understand the Poisson distribution and the binomial distribution(for item c).

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!} [/tex]

In which

x is the number of sucesses

[tex] e = 2.71828[/tex] is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Poisson mean:

[tex]\mu = 0.2[/tex]

a. What is the probability that a disk has exactly one missing pulse?

One disk, so Poisson.

This is P(X = 1).

[tex]P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164 [/tex]

0.164 = 16.4% probability that a disk has exactly one missing pulse

b. What is the probability that a disk has at least two missing pulses?

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!} [/tex]

[tex]P(X = 0) = \frac{e^{-0.2}*0.2^{0}}{(0)!} = 0.819[/tex]

[tex]P(X = 1) = \frac{e^{-0.2}*0.2^{1}}{(1)!} = 0.164 [/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.819 + 0.164 = 0.983[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.983 = 0.017[/tex]

0.017 = 1.7% probability that a disk has at least two missing pulses

c. If two disks are independently selected, what is the probability that neither contains a missing pulse?

Two disks, so binomial with n = 2.

A disk has a 0.819 probability of containing no missing pulse, and a 1 - 0.819 = 0.181 probability of containing a missing pulse, so [tex]p = 0.181[/tex]

We want to find P(X = 0).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.181)^{0}.(0.819)^{2} = 0.671[/tex]

0.671 = 67.1% probability that neither contains a missing pulse

Answer:

Subtract

31

31

from both sides of the equation.

x

2

+

y

2

−

4

x

−

12

y

=

−

31

x2+y2-4x-12y=-31

Complete the square for

x

2

−

4

x

x2-4x

.

Tap for more steps...

(

x

−

2

)

2

−

4

(x-2)2-4

Substitute

(

x

−

2

)

2

−

4

(x-2)2-4

for

x

2

−

4

x

x2-4x

in the equation

x

2

+

y

2

−

4

x

−

12

y

=

−

31

x2+y2-4x-12y=-31

.

(

x

−

2

)

2

−

4

+

y

2

−

12

y

=

−

31

(x-2)2-4+y2-12y=-31

Move

−

4

-4

to the right side of the equation by adding

4

4

to both sides.

(

x

−

2

)

2

+

y

2

−

12

y

=

−

31

+

4

(x-2)2+y2-12y=-31+4

Complete the square for

y

2

−

12

y

y2-12y

.

Tap for more steps...

(

y

−

6

)

2

−

36

(y-6)2-36

Substitute

(

y

−

6

)

2

−

36

(y-6)2-36

for

y

2

−

12

y

y2-12y

in the equation

x

2

+

y

2

−

4

x

−

12

y

=

−

31

x2+y2-4x-12y=-31

.

(

x

−

2

)

2

+

(

y

−

6

)

2

−

36

=

−

31

+

4

(x-2)2+(y-6)2-36=-31+4

Move

−

36

-36

to the right side of the equation by adding

36

36

to both sides.

(

x

−

2

)

2

+

(

y

−

6

)

2

=

−

31

+

4

+

36

(x-2)2+(y-6)2=-31+4+36

Simplify

−

31

+

4

+

36

-31+4+36

.

(

x

−

2

)

2

+

(

y

−

6

)

2

=

9

(x-2)2+(y-6)2=9

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

(x-h)2+(y-k)2=r2

Match the values in this circle to those of the standard form. The variable

r

r

represents the radius of the circle,

h

h

represents the x-offset from the origin, and

k

k

represents the y-offset from origin.

r

=

3

r=3

h

=

2

h=2

k

=

6

k=6

The center of the circle is found at

(

h

,

k

)

(h,k)

.

Center:

(

2

,

6

)

(2,6)

These values represent the important values for graphing and analyzing a circle.

Center:

(

2

,

6

)

(2,6)

Radius:

3

3

Answer:

center: (2,-6)

radius: 8

Step-by-step explanation:

trust me i checked khan academy

Answer:

50

Step-by-step explanation:

First things first, use PEMDAS.

Parenthesis is first.

(9+8) is in parenthesis. 9+8 is obviously 17.

The equation now looks like this:

6 x 14 - 17 x 2

There is no exponents, but there is multiplication. 6 x 14 is 84 and 17 x 2 is 34. They both are multiplication equations.

The equation now looks like this:

84 - 34

84-34 is 50. 50 is your answer.

Answer:

[tex]3(-4a-3)(2a-1)[/tex]

Step-by-step explanation:

[tex]-24a^2-6a+9[/tex]

[tex](-12a-9)(2a-1)[/tex]

[tex]3(-4a-3)(2a-1)[/tex]

Answer:

−3(2a−1)(4a+3)

Step-by-step explanation:

9 - 6a - 24a^2

24a²-6a-9=

−3(2a−1)(4a+3)

We get this because −3(2a−1)(4a+3) equals out to 24a²-6a-9. If you need more explanation, reply to this answer.

Answer:

11.5

Step-by-step explanation:

using Pythagoras theorem

the square of 13 equals the square of 6 and the unknown side

Answer:

11.5 feet

Step-by-step explanation:

I just took the quiz on edge

Answer:

Take u1 = average number of mosquitoes attracted after drinking beer

u2 = average number of mosquitoes attracted after drinking water

a) The null and alternative hypotheses:

H0 : u1 = u2

H1 : u1 > u2

b) i) The average number of mosquitoes per volunteer before drinking (beer group) :

[tex] x'1 = \frac{x_1}{n} = \frac{434}{25} = 17.36 [/tex]

Sample mean for mosquitoes attracted before consumption for beer group is 17.36

The average number of mosquitoes per volunteer before drinking (water group) :

[tex] x'2 = \frac{x_2}{n} = \frac{337}{18} = 18.72 [/tex]

Sample mean for mosquitoes attracted before consumption for water group is 18.72

The two means are different.

The difference in the two means are as a result of random choice.

c) i) The average number of mosquitoes per volunteer after drinking (beer group) :

[tex] x'1 = \frac{x_1}{n} = \frac{590}{25} = 23.60 [/tex]

Sample mean for mosquitoes attracted after consumption for beer group is 23.60

ii) The average number of mosquitoes per volunteer after drinking (water group) :

[tex] x'2 = \frac{x_2}{n} = \frac{345}{18} = 19.17[/tex]

Sample mean for mosquitoes attracted after consumption for water group is 19.17

The two sample means are different.

This difference here is likely not to be as a result of random choice, because the mean difference here is greater than the mean difference before consumption.

d) A statistically significant difference provides evidence that beer consumption increases mosquito attraction, as the average number of mosquitoes attracted when drinking beer is higher than the mean number of mosquitoes attracted when drinking water.

Answer:

Step-by-step explanation: true

Answer:

1/52

Step-by-step explanation:

Answer:

-72 y^4

Step-by-step explanation:

(8y^2)(-9y^2)​

Multiply the coefficients

8*-9 = -72

Add the exponents since the bases are the same

y^2 * y^2 = y^(2+2) = y^4

(8y^2)(-9y^2)​ = -72 y^4

Answer:

OB

Step-by-step explanation:

When you deduct something it means an intelligent reasoning based on given information for prediction.

In the above case we have a given formula from which we can deduct the facts .

We see a general statement is given from there we get a specific value.

By the way the formula given meant n(n+2)/ 2

The correct option is B. This is deductive reasoning because a specific conclusion is being proved from a general statement. This is obtained by checking the requirements of deductive reasoning.

Hence this is deductive reasoning because a specific conclusion is being proved from a general statement.

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Answer:

Range : { -3,0,4,6}

Step-by-step explanation:

The range of the function is the output values

Range : { -3,0,4,6}

Answer:

C. {-3, 0 ,4, 6}

Step-by-step explanation:

→The range is the total of y-intercepts/outputs. In this case, looking at the function, you can see that the y-intercepts/outputs are 0, -3, 4, and 6.

→The others numbers are the x-intercepts/inputs, which would be the domain of the function.

Answer:

[tex]\angle ADC=62^\circ[/tex]

Step-by-step explanation:

Given the circle centered on point B with points A, C and D on its circumference.

[tex]\angle ABC[/tex] is the angle subtended by arc AC at the centre.

Since D is on the circumference, [tex]\angle ADC[/tex] is the angle subtended by arc AC on the circumference.

Circle Theorem: The measure of the angle subtended by an arc at the center is twice the measure of the angle subtended by same arc at the circumference.

By the theorem stated above:

[tex]\angle ABC = 2 X \angle ADC\\Since \angle ABC=124^\circ\\124^\circ = 2 X \angle ADC\\ \angle ADC=124^\circ \div 2\\\\ \angle ADC=62^\circ[/tex]

Answer:

The real answer is 20 its not that high of a number

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

For the first one:

[tex]f(x)=\frac{4x+3}{5x+2}[/tex]        

[tex]f(\frac{1}{x})= \frac{4(\frac{1}{x})+3}{5(\frac{1}{x})+2 }[/tex]

First, multiply both top and bottom by [tex]x[/tex].

Thus:

[tex](\frac{4(\frac{1}{x})+3}{5(\frac{1}{x})+2 } )\cdot \frac{x}{x}[/tex][tex]=\frac{4+3x}{5+2x}[/tex]

It cannot be simplified further.

For the second one:

[tex]g(x)=\sqrt{x^2-8x}[/tex]

[tex]g(x-2)=\sqrt{(x-2)^2-8(x-2)}[/tex]

[tex]\sqrt{(x^2-4x+4)-8x+16}[/tex]

[tex]\sqrt{x^2-12x+20}[/tex]

And that cannot be simplified further.