The Venn diagram shows the results of two events resulting from rolling a number cube.

Answer:

8.86 ( 3 S.F)

Step-by-step explanation:

Using Sine Rule,

AB/ Sin (41) = 13.5/ Sin (90)

AB = 8.856796891

= 8.86 cm (3 s.f.)

Answer:

Step-by-step explanation:

Given the expression

[tex]40=\frac{90^2}{16} sinxcosx\\\\Cross\ multiplying;\\\\16*40 = 90^2 sinxcosx\\\\640 = 90^2 sinxcosx\\\\\frac{640}{8100} = sinxcosx\\ from\ trig\ identity, sin2x = 2sinxcosx\\sinxcosx = sin2x/2\\[/tex]

[tex]Hence, \ \frac{640}{8100} = \frac{sin2x}{2} \\\\\frac{2*640}{8100} = sin2x\\ \\\frac{1280}{8100}=sin2x\\ \\0.158 = sin2x\\\\2x = sin^{-1} 0.158\\\\2x = 9.09\\x = 9.09/2\\x =4.545[/tex]

Answer:

Option C. 3

Step-by-step explanation:

Let M1 be the slope of the red line

Let M2 be the slope of the green line

From the question:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

The slopes of perpendicular lines are related as follow:

M1 = –1 / M2

With the above formula, the slope of the green line (M2) can be obtained as illustrated below:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

M1 = –1 / M2

– 1/3 = –1 / M2

Cross multiply

– 1 × M2 = – 1 × 3

– 1 × M2 = – 3

Divide both side by –1

M2 = – 3/ –1

M2= 3

Therefore, the slope of the green line is 3.

Answer:

  4 cm

Step-by-step explanation:

The milk fills 12 cm of the 15 cm height, so fills 12/15 = 4/5 of the volume of the container.

When the container is laid flat so that the 5 cm direction is the height, the milk still fills 4/5 of the height. The dept of the milk in that configuration is ...

  (4/5)(5 cm) = 4 cm

Answer:

Depth = 4cm

Step-by-step explanation:

Well if the milk is turned to its orange side then 4cm will be depth because that's the new height.

Thus,

the new depth is 4cm.

Hope this helps :)

Answer:

Step-by-step explanation:

Hello,

let's note a and b the two digits, the number is then a*10+b

and the digits in revers mode give b*10 + a so we can write

   (1) a + b = 5

   (2) 10a+ b - 9 =10b + a

From(1) I get b = 5-a

I replace in (2)

10a + 5 - a - 9 = 10(5-a) + a = 50 - 10a = a = 50 - 9a

9a - 4 = 50 - 9a

18a = 50 + 4 = 54 so

a = 54/18 = 3

and then from (1) b = 5 - 3 = 2

So the number is 32

Answer:

The correct answer is:

Poisson (A.)

Step-by-step explanation:

A Poisson distribution is used to model the number of events occurring within a given time interval, when the average number of times that the event occurs within the time interval is given.

Lambda ( λ ) is a rate parameter in Poisson's distribution, and it is used to represent "event/time", and it simply represents the expected number of events in the interval.

Answer:

The answer is 429 = 3×11×13.

Step-by-step explanation:

You have to divide by prime number :

429 ÷ 3 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

Answer:

3×11×13

Step-by-step explanation:

Answer:

I hope it will surely help uh.....

Answer:

sqrt of 7

Step-by-step explanation:

Explanation:

f(x) = x^3

f(x+4) = (x+4)^3 .... shifts graph 4 units to the left

f(x+4) - 6 = (x+4)^3 - 6 ... shifts 6 units down

The change from x to x+4 means the xy axis has moved four units to the right (since each input is now 4 units larger). If we hold the curve y = x^3 to be completely still while the xy axis moves 4 units to the right, then the illusion of the curve moving 4 units to the left happens.

The -6 at the end does what you'd expect it to do, and there is no opposites going on here. Whatever the y value is, subtract 6 from it to get the new y value. Effectively this moves the graph down 6 units.

Answer:

3

Step-by-step explanation:

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

18 ft = 6 yds

3 ft = 36 inches

Step-by-step explanation:

We know that 3 ft = 1 yd

Divide 18 ft by 3

18 ft /3 ft = 6 yds

We know that 1 ft = 12 inches

3 ft * 12 inches /ft = 36 inches

Answer:

[tex]\large \boxed{18 feet = 6 yards}[/tex]

[tex]\large \boxed{3 feet = 36 inches}[/tex]

Step-by-step explanation:

1 foot = 1/3 of a yard

Multiply both sides of this equation by 18

[tex]\large \boxed{18 feet = 6 yards}[/tex]

1 foot = 12 inches

Multiply both sides of the equation by 3

[tex]\large \boxed{3 feet = 36 inches}[/tex]

Hope this helps!

Answer:

156.25

Step-by-step explanation:

[tex]\frac{1}{0.0064}\\\\\frac{10000}{64}\\ then divide \[/tex]

[tex]\frac{10000}{64} = \frac{2500}{16} =\frac{625}{4} = 156.25[/tex]

Answer:

(4,0)

Step-by-step explanation:

The zeros of the quadratic functions are where it crosses the x axis

It crosses at x=-2 and x=4

( -2,0) and (4,0)

Answer:

[tex]\boxed{(4,0)}[/tex]

Step-by-step explanation:

A zero of a quadratic function is where the parabola touches a point on the x-axis.

The parabola touches two points on the x-axis:

(4, 0) and (-2, 0)

A zero of the quadratic function is (4, 0).

Answer:

(b) 0

Step-by-step explanation:

Assuming a typo in the last term:

5 (1728)^(1/3) + 100(81)^(1/4) - ( 6(10)^(1/2) )^2

=5(12) + 100(3) -36(10)

=60+300-360

=0

Answer:

[tex]\boxed{\sf (b) \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 5\sqrt[3]{1728} +100\sqrt[4]{81} -(6\sqrt{10} )^2[/tex]

[tex]\sf Evaluate.[/tex]

[tex]\sf 5(12)+100(3) -((6)^2 (\sqrt{10})^2)[/tex]

[tex]\sf 60+300 -(36(10))[/tex]

[tex]\sf 360-360[/tex]

[tex]\sf 0[/tex]

Answer:

N= 9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] \frac{n - 6}{ - 4} = 6[/tex]

Cross multiply

We have

n - 6 = - 4 × 6

n - 6 = - 24

n = - 24 + 6

Hope this helps you

Answer:

Step-by-step explanation:

When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.

Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.

Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.

The image attached shows examples of this.

Answer: Choice A

Yes; Domain = {m, n, p, q}

We have the inputs (think of them as the x values) as m, n, p and q. They make up the domain. The domain is the set of all allowed inputs. We do not have any repeated inputs, which is why we have a function. Any given input leads to exactly one output.

Answer:

First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.

Step-by-step explanation: Sample Response on Edge

The estimation of the solution to the tenths place is given below.

What is rounding off?

Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Given that;

A graph of a system that has exactly one solution.

Now,

Let a solution of the graph of a system = (2.37, 1)

So, We can estimate the solution of the system to tenth place as;

⇒ 2.37 = 2.4 (round to tenth place)

Thus, The solution of the system to the tenths place will be;

⇒ (2.3 , 1)

Learn more about the rounding number visit:

https://brainly.com/question/1620496

#SPJ2

Answer:

69 years

Step-by-step explanation:

Data provided in the question

Born date of an Ancient Greek = April 1st 35 BC

Diet date of an Ancient Greek = Aril 1st 35 AD

Based on the above information

We can say that

35 + 35 = 70

We deduct 1 as there is no zero

So, it would be

= 70 - 1 year

= 69 years

Hence, An ancient greek lives 69 years and the same is to be considered

Answer:

  24 minutes

Step-by-step explanation:

Working at the same speed, the ratio of time to length is the same:

  time/length = t/12 = 3/(1.5)

  t = 12(3/1.5) = 12(2) = 24

It will take Mark 24 minutes to make a 12-inch bracelet.

Answer:

  0.20, 0.36 seconds

Step-by-step explanation:

We have already seen that the equation for y(t) can be written as ...

  y(t) = √29·sin(4πt +arctan(5/2))

The sine function will have a value of -1/2 for the angles 7π/6 and 11π/6. Then the weight will be halfway from its equilibrium position to the maximum negative position when ...

  4πt +arctan(5/2) = 7π/6 or 11π/6

  t = (7π/6 -arctan(5/2))/(4π) ≈ 0.196946 . . . seconds

and

  t = (11π/6 -arctan(5/2))/(4π) ≈ 0.363613 . . . seconds

The weight will be halfway from equilibrium to the maximum negative position at approximately 0.20 seconds and 0.36 seconds and every half-second thereafter.

Answer:

Explanation:

We know that , if any vertical line cuts the given graph of relation at exactly one point, then the relation can be called as function.

From Given graph , we find that the vertical line through any point on x-axis greater than zero (ex : X = 5) cuts the graph at more than one point.

Hence, Given relation is not a function.

Hope this helps...

Good luck on your assignment...

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

  -2(1) +3 = 1 . . . . not -2

an = -2n +7

  -2(1) +7 = 5 . . . . not -2

an = 5n +3

  5(1) +3 = 8 . . . . not -2

an = 5n -7

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

Answer:

1/17

Step-by-step explanation:

You're on the right track so far!

(2³ + 3²) ⁻¹

= (8 + 9) ⁻¹

= (17) ⁻¹

= 1/17 (Remember, (a)⁻ⁿ = 1 / aⁿ)

Hi there!! (✿◕‿◕)

⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐

A = 2   B = 3

(a^b + b^a)^-1

(2^3 + 3^2)^-1

1/7 or 0.058824

Hope this helped!!  ٩(◕‿◕｡)۶

Answer: x=35

Step-by-step explanation:

There are 720 degrees total in a hexagon. So, all of the angles should add up to that. Write out the equation

720= (4x-5)+(117)+(3x-3)+(3x+6)+(118)+(4x-3)

720=14x+230

490=14x

x=35

hope this helped you:)

Answer:

20

Step-by-step explanation:

Given that:

The study group n = 4

number of participants = 10

the sum of squares for the between-groups source of variation is  60

The objective is to determine the mean square  between groups in this study

The mean square  between groups in this study compares the means of the group with the  sum of squares for the between-groups source (i.e the grand mean)

For this analysis;

the degree of freedom = n-1

the degree of freedom = 4 - 1

the degree of freedom =  3

Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]

the mean square between groups = 20

Answer:

Using the given information in the problem, the value of f  is 9

Step-by-step explanation:

In this problem, we will be using tangent, Tangent is the opposite side divided by the adjacent side from the given angle. The given angle that we will be using for this problem is the measurement of ∠F which is 58°. We will use this for our equation.

Let's set up our equation for tangent.

[tex]Tan(58)=\frac{15}{f}[/tex]

Since we are looking for f , then we will rearrange the equation.

[tex]f=\frac{15}{tan(58)}[/tex]

Now, we will solve for x. You can use a calculator to do these calculations.

[tex]f=9[/tex]

So, the value of f in the triangle is 9.

Answer:  f=9

Because quick mafs says so

Answer:

Option (C)

Step-by-step explanation:

If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.

By the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

where [tex]m_1[/tex] is the slope of the line AD and [tex]m_2[/tex] is the slope of BC.

[tex]m_2=\frac{y_2-y_1}{x_2-x_1}[/tex]

     [tex]=\frac{8+2}{3-7}[/tex]

     [tex]=-\frac{5}{2}[/tex]

Now from the given property,

[tex]m_1\times (-\frac{2}{5})=-1[/tex]

[tex]m_1=\frac{5}{2}[/tex]

Therefore, slope of altitude BC = [tex]\frac{5}{2}[/tex]

Option (C) will be the answer.

Answer:

Step-by-step explanation:

From the information given,

Mark: 6,7,8,9,10

frequency:5,4,7,10,4

a) Range = highest mark - lowest mark

Range = 10 - 6 = 4

b) The number of students in the group is the sum of the frequency. Therefore,

Number of students = 5 + 4 + 7 + 10 + 4 = 30 students

c) Mean mark = (mark × frequency)/total frequency

[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30

Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30

Mean mark = 8.1

Answer: From the information given, Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) Range = highest mark - lowest markRange = 10 - 6 = 4b) The number of students in the group is the sum of the frequency. Therefore, Number of students = 5 + 4 + 7 + 10 + 4 = 30 studentsc) Mean mark = (mark × frequency)/total frequency[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30Mean mark = 8.1

Step-by-step explanation:

Answer:

(-7/9, -4/9)

Step-by-step explanation:

i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL

Hope do will on what you are doing :)

If you want you can give me brainliest, it helps me a lot

have a good day :)

Answer:

I got (1,-4) on my Khan

Step-by-step explanation: