The synthesis of a large collection of information that contains well-tested and verified hypotheses about certain aspects of the world is known as a scientific

A) fact.

B) hypothesis.

C) law or principle.

D) theory.

E) none of these.

[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

Around 13.7

Step-by-step explanation:

The cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. In this case, this means:

[tex]\cos 70= \dfrac{x}{40} \\\\x=40\cdot \cos 70\approx 13.7[/tex]

Hope this helps!

Answer:

37

Step-by-step explanation:

Since the input is 6, you plug it in as the x value to get y.

The input=x value

the output=y value

This is because when you input an x-value into an equation, you would get its y value.

So... 6^2 is 36 and 36+1 is 37

So the final answer is 37

Answer:

9975

Step-by-step explanation:

See attachment.

( 105 ) * ( 95 )

(100+5) * (100-5)

100*100 * (1 + 5/100) * ( 1 - 5/100)

10000 * ( 1 - 5/100 + 5/100 - {25/10000} )

- 5/100 + 5/100, they cancel each other out to 0

10000 * ( 1 + 0 - {25/10000} )

10000 * ( 1 - {25/10000} )

10000 - {25*10000/10000}

10000 - {25}

9975

Answer:

187.5 in^3

Step-by-step explanation:

V=(lwh )/3

7.5 x 5 x 5= 187.5

Answer:

62.5 inches squared

Step-by-step explanation:

To find the volume of a pyramid, you need to use the formula : (length x width x height)/3. It's simple once you plug the values in.

Length = 5

Width = 5

Height = 7.5

1. 5 times 5 times 7.5 = 187.5

2. 187.5/3 = 62.5

3. The answer is 62.5 inches squared

Answer:

The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

Step-by-step explanation:

Hank and Lynn are both paying off car loans

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

Therefore, the total amount paid (C(h)) after x months by given by  

C(h) = 2000 + 200x ......... (1)

So, this relation is proportional but not directly proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

Therefore, the total amount paid (C(l)) after x months by given by  

C(l) = 275x ......... (2)

So, this is a directly proportional relation which is also proportional.  

hope it helps mark me as brainliest.

Answer:

[tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

I don't know if this has an =0 at the end, but I assume it does.

This is how you would work it out:

[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]

Answer:

20 : 25

Step-by-step explanation:

A : B : total

4 : 5 : 4+5 = 9

We want to share 45

45/9 = 5

Multiply each share by 5

A :     B    : total

4*5 : 5*5 : 9*5

20 : 25   : 45

Answer:

52 people

Step-by-step explanation:

Answer:

1/2 or 0.5

Step-by-step explanation:

since there are two options, heads and tails, the probability of not flipping tails is 1/2, since the probability of flipping heads is 1/2

Answer:

1/2

Step-by-step explanation:

There are 2 sides of a coin.

Heads or Tails.

That means you have a 1/2 chance of getting tails. This also means you have 1/2 chance of not getting tails, in other words, getting heads.

19/6

Step-by-step explanation:

3/4 + 5/3 +3/4

3/4 + 3/4 = 3/2

3/2 + 5/3 =19/6 or 3.16....

Answer:

(x-5)

Step-by-step explanation:

x^2 -25

We know this is the difference of square

(x-5)(x+5)

Since the length is (x+5)  the width must be (x-5)

Given:

To be calculated:

Calculate the width of rectangle?

Formula used:

Area of Rectangle = L × b

Solution:

We know,

Area of Rectangle = L × b

⇒ x² - 25 = x + 5 × b

⇒ b = x² - 25 / x + 5

⇒ b = x² - 5² / x + 5

⇒ b = ( x + 5 ) ( x - 5 ) / x + 5

⇒ b = x - 5

Answer:

[tex]y\geq x[/tex]

Step-by-step explanation:

Again, let us begin by finding the equation of the line

The y-intercept is 0 and the slope is 1, so the equation of this line would be [tex]y=x+0[/tex] or just [tex]y=x[/tex]

We can see that the shaded region is ABOVE the line, so we would use a greater than (>) sign.

This as the line is shaded in, we must also include that line in the inequality. This means that we will instead use the [tex]\geq[/tex] sign.

This means that our answer would be [tex]y\geq x[/tex]

Answer:

7.5g salt, 10g yeast, 50ml oil, 450ml water.

Answer:

This can be done in a total of 10 ways

Step-by-step explanation:

This is a selection problem.

What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.

Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION

Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways

which is mathematically equivalent to;

n!/(n-r)!r!

now applying this to the problem at hand, what we have is 5C3

= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways

Answer:

that's the lowest term actually

Answer:

10

Step-by-step explanation:

10x^2y^-2

10(-1)^2(-2)^2=10

Answer:

Step-by-step explanation:

Subtract the distance driven by Rohan from the total distance

Distance driven by Raj = 1245 - 412

                                     = 833 km

Answer:

Both lights would flash together after every 30 seconds.

Step-by-step explanation:

6 = 2 * 3 and 10 = 2 * 5.

LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.

Therefore, both lights wold flash together after every 30 seconds.

Answer:

every 30 seconds.

Step-by-step explanation:

I'm a banana

I'm a banana

I'm a banana

Look at me move, yeah yeah

I'm a banana

I'm a banana

I'm a banana

Look at me move, ah

Banana power

Banana power

Banana power

Power

Banana power

Banana power

Banana power

Look at me move

Uh oh banana time

Uh oh banana time

Uh oh banana time

Stop

Stop

Stop

Carts, farts, marts, darts

Hearts, starts, carts, marts

Carts, marts, darts, farts

Darts, starts, hearts, ah

Chicken, chicken, chicken

I am

Chicken, chicken

Chicken

Stop

Look at me

Look at me move

I'm a banana

I'm a banana

I'm a banana

yes

Answer:

unsolvable

Step-by-step explanation:

you need to know how many people bought a ticket

Answer:

N=6

Step-by-step explanation:

As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6

Answer:

3 3/5 bags

Step-by-step explanation:

We have to find the surface area of the floor of the cage first.

The cage measures 1 yard wide by 6 feet long.

1 yard = 3 feet

The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:

3 * 6 = 18 square feet

One bag of shavings covers 5 square feet.

To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.

The number of bags needed for the floor of the cage is therefore :

18 / 5 = 3 3/5 bags

Answer: $22

Step-by-step explanation:

$5.50 * 4 = 22

Answer:

B. $22.00

Step-by-step explanation:

The expression you need to set up is 5.5 times 4, since she needs to pay 4 tickets and each is $5.50. After you multiply, you should get 22, which is the answer.

Answer:

Bruno will do 45.7

Step-by-step explanation:

1- gather all info

2-subtract

3- YOURE answer

Answer: A line that splits an angle into two equal angles.

Step-by-step explanation:  ("Bisect" means to divide into two equal parts.)

Bisecting angles: A line that splits an angle into two equal angles.

Answer:

yes

Step-by-step explanation:

Answer:

72 + 2y = 180

2y = 108

y = 108/2

y = 54

C. 54

Answer:

C

Step-by-step explanation:

Sum of three angles of triangle = 180

72 + y + y = 180  {add like terms}

72 +2y = 180    {Subtract 72 from both sides}

2y = 180 - 72

2y = 108    {divide both sides by 2}

y = 108 / 2

y = 54°