Who was alan turing and what were his contributions to the field of mathematics?.

answer: 55

Step-by-step explanation:

angle apg is eqal to angle pgr (being alternate angles)

x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)

Solution:

Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.

⇒ ∠E + ∠R = 180

⇒ ∠E + 120 = 180

⇒ ∠E = 180 - 120

⇒ ∠E = 60°

Line AB forms a straight line which is a measure of 180°.

⇒ 65 + ∠E + x = 180

⇒ 65 + 60 + x = 180

⇒ 125 + x = 180

⇒ 125 - 125 + x = 180 - 125

⇒ ∠x = 55°

No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.

The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle

Answer = 10 bottles

Given Data

Let us find the number of bottle required

No of bottles = Total Capacity of the two bottle/Capacity of the small bottles

No of bottles =  51/5

No of bottles =10.2

10 approx.

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Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

The equation of second graph is  [tex]d = 2.5 t + 1[/tex]

We have given the linear equation is

[tex]d = 2.5 t +2.2,[/tex]

If the graph of the position of the second object is parallel to

[tex]d = 2.5 t +2.2,[/tex]

The equation of slope intercept form is

[tex]d=mt+b[/tex]

compare the given equation with the slope intercept form

we get  m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Therefore,the equation of second graph is  [tex]d = 2.5 t + 1[/tex]

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Answer:

Less

Step-by-step explanation:

Working with the information provided, we are to determine whether Cameron obtained via exchange more or less on his second trip to Canada. While the time frame for this would help, it's likely that it isn't offered to you, so I'm going to try and simplify.

He would receive less, as the inflation rate in America is higher than in Canada, meaning U.S dollars depreciate in value faster.

Answer:

28-14[tex]\sqrt{3}[/tex]

Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]

Answer:

C

Step-by-step explanation:

Area of a parallelogram = base times height.

The base is 14 and the height is 3, you just have to rotate the figure.

A = 14 * 3 = 42 square feet

Answer:

When f(x) = 0, there will be two 'x' values. The point where the graph crosses the positive x-axis represents the point where the cannon hits the earth.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Read

Answer:

x = -9

Step-by-step explanation:

First rearrange the terms.

-6x - 6x +3 = 111

Add like terms

-12x + 3 = 111

Subtract 3 from both sides

-12x = 108

Divide -12 on both sides

x = -9

Answer:

621200 mg

1.36664 Lb

Step-by-step explanation:

Given;

Cullinan diamond weighed 3106 carats.

1 Carat - 0.2 grams

Question to Answer;

How much does the diamond weigh in milligrams/pounds?

Solve;

Since 1 carat = 0.2 grams

1g = 1000 mg

1g = 0.0022 lb

Thus,

3106 ct = 0.2 * 3106g = 6212g

621.2g = 621.2 * 1000 mg = 621200 mg

621.2g = 621.2 * 0.0022 lb = 1.36664 lb

[RevyBreeze]

Answer:

30 degrees

Step-by-step explanation:

We know that 2x + 50 and 5x - 80 both add up to 180 degrees because they are co-interior. so, lets simplify it:

2x + 50 + 5x - 80

= 7x - 30

7x - 30 = 180

7x = 210

x = 30 degrees

Answer:

B, E, F

Step-by-step explanation:

If the system has infinite solutions, then the 2 equations will be identical.

So we are looking for an equation, which, when simplified or rearranged or multiplied by a constant, will be the same as the given equation [tex]4x-6y=12[/tex]

If we multiply equation A by 2 we get: 4x + 6y = 12

This is not the same as the original equation since the operation sign is addition rather than subtraction.

If we divide equation B by 5 we get:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation C: y = (2/3)x + 12

Multiply by 3:  3y = 2x + 36

Multiply by 2:  6y = 4x + 72

Rearrange:  4x - 6y = -72

If we divide equation D by 1.5 we get: 4x - (8/3)y = 8

Equation E:  y = (2/3)x - 2

Multiply by 3:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation F:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Answer:

Sally's team found 50 balls

Step-by-step explanation:

300 balls are hidden.

300x30%x40%

=36 balls are yellow

Sally's team finds 20% of 36 and 80% of the white balls (300x30%-36).

20%x36+80%x(300x30%-36)

=7 (approximately or else they would've found 7.2 yellow balls) +80%x(90-36)

=7+43 (approximately)

=50

[tex]hyx^{2} =bx^{2} +hx^{2}[/tex]First you get the length PX

secondly you use the sine rule a\sin A= b\sin B=c\sin C

hence hy = 30

you take 30\sin 90=18\X

cross multiply

sin 90 × 18 = 30×X

sin 90 = 1

1×18=30X

18\30=30X\30

0.6=X

then sin~1 0.6

answer 36.8699 as angle p

then get cos 36.8699

The scale factor that the company used was 0.028

Given the following parameters

Area of truck wheel = 32411 square inches

Area of the truck after scaling = 911 square inches

The formula for finding the scale factor will be;

k = final area/original area

k = 911/32411
k = 0.028

Hence the scale factor that the company used was 0.028

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Answer:

Three Methods: substitution, elimination, and graphing.

Step-by-step explanation:

Graphing: To find the solution of a system of equations on a graph, you find the point of intersection of the two lines.

Elimination:

Substitution:

Answer:

y = -2

Step-by-step explanation:

Step 1: Combine like terms.

Step 2: Divide both sides by 9.

Step 3: Check if solution is correct.

Therefore, y = -2.

Answer:

what gas station I presume is the answer

Answer:

67x+23=344

collecting like terms

67x=344-23

67x=321

making x the subject of the formula

x=321/67

x=4.79

approximately

x=5

Make me the brainliest

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]

= [tex]x^{\frac{4}{8}}[/tex]

= [tex]x^{\frac{1}{2}}[/tex]

The simplified expression is equal to 12.

So, [tex]x^{\frac{1}{2}}[/tex]=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

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Answer:

C. 104

Step-by-step explanation:

First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.

Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.

Answer:

B

Step-by-step explanation:

0.06 is the same as 6 divided by 100. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{100}[/tex]. 0.154 is the same as 154 divided by 1000. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{1000}[/tex].

So, (0.06) * (0.154) is the same as [tex]\frac{6}{100}[/tex] * [tex]\frac{154}{1000}[/tex] or 6 * [tex]\frac{1}{100}[/tex] * 154 * [tex]\frac{1}{1000}[/tex]

Answer: B, C, D, and E.

Step-by-step explanation: When you solve the expression, you get the value 0.00924. So far, E is one of the correct answers, because it is exactly the same as the value of (0.06) x (0.154). When you solve answer A, you get 0.924, so that isn't one of the answers. When you solve answer B, you get 0.00924. When you solve answer C, you get 0.00924, which is another possible answer. When you solve answer D, you get 0.00924. So you pretty much select every answer but A.

Hope this helps! :)

Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.

A proportion is a fraction of a total amount.

In this problem, the mean of each sample is as follows: 3%, 5% and 4%.

Hence, from all samples, the mean should be expected to be of:

(3% + 5% + 4%)/3 = 4%.

Out of 150 chimpanzees:

0.04 x 150 = 6.

The biologist should be expected to find 6 hairless chimpanzees in the troop.

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Answer:

wheres the graph? picture?

Step-by-step explanation:

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 [tex]\times[/tex]1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

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Answer:  ( B ) (6,700)

Step-by-step explanation:

i checked the question on my quick check

Answer:

Step-by-step explanation:

1. What is the theoretical probability that a coin toss results in two heads showing?

25%

2. What is the experimental probability that a coin toss results in two heads showing?

50%

3. What is the theoretical probability that a coin toss results in two tails showing

0.5%

4.  What is the experimental probability that a coin toss results in two tails showing?

25%

5. What is the theoretical probability that a coin toss results in one head and one tail showing?

0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing?

0.5

7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

0.5

There you go. Remember you can figure these answers out by yourself if you really try. From now on ill be answering questions and trying to help other people. Please read from your lessons as they can help you a lot, Thank you.

Answer:

Step-by-step explanation:

The mean of the dataset is:

Increased mean is:

The sum of the numbers in the larger data set is:

The difference of sums is:

We need a combination of 3 different numbers with the sum of 54.

One option would be: