Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?

9514 1404 393

Answer:

Step-by-step explanation:

The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.

The difference is 10, which is a factor of both 40 and 50.

  GCF(40, 50) = 10

__

You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.

  GCF(14, 56, 63) = 7

_____

Additional comment

Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.

For example, let's look at the GCF of 14 and 63.

  63/14 = 4 r 7

  14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor

Answer:

The answer of this question is 78°.

Step-by-step explanation:

Let angle X be denoted by y then angle Z=y (because isosceles angles of a traingle is equal)

Now,

y+y+24°=189°

2y+24°=180°

2y=180°-24°

y=156/2

y=78°

Answer:

so the answer is 78°

Step-by-step explanation:

Uhm I hope it helps

Answer:

y=-4x+16

Step-by-step explanation:

Okay, so a perpendicular line has an opposite reciprocal slope.

The slope for the first line is x/4, but I like to write it as 1/4x, since it's easier to look at.

The opposite reciprocal for 1/4x is -4x

So far, we have y=-4x+ [  ]

To find the remaining b value, we can use the given point intersection.

plug in the x and y values given (4, -1) and solve for b.

The equation for the perpendicular line is y=-4x+16

Answer:

Step-by-step explanation:

Answer:

First question: answer is d. 4) -i

[tex] {i}^{16} + {i}^{6} - 2 {i}^{5} + {i}^{13} \\ = ( {i}^{2} ) {}^{8} + ( {i}^{2} ) {}^{3} - 2( {i}^{2} )( {i}^{2})(i) + ( {i}^{5} ) {}^{ \frac{13}{5} } \\ = {( - 1)}^{8} + {( - 1)}^{3} - 2(1i) + ( - 1) {}^{ \frac{13}{2} } \\ = 1 - 1 - 2i + i \\ = - i[/tex]

Second question: answer is d. 4) 0

[tex] = {i}^{99} - {i}^{3} \\ =( {i}^{3} )( {i}^{96} ) - {i}^{3} \\ = {i}^{3} ( ({i {}^{2} )}^{48} - 1) \\ = - i(1 - 1) \\ = 0[/tex]

Answer:

x=±sqrt (33)

Step-by-step explanation:

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

29=x^2-4. x^2=33, x=±sqrt (33)

Answer:

[tex]\sqrt{33}[/tex]

Step-by-step explanation:

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

y =  [tex]x^{2}[/tex] +2x -2x-4

y =  [tex]x^{2}[/tex] - 4

29 = [tex]x^{2}[/tex] - 4

29 + 4 = [tex]x^{2}[/tex] -4 + 4

33 = [tex]x^{2}[/tex]

[tex]\sqrt{33}[/tex] = x

Hope this is clear and you can understand it. :)

Answer: point of tangency

Answer:

hope it helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

S is the midpoint of QR.

⇒ RS = QS    

QR ⊥ PS

⇒ ∠RSP = ∠QSP = 90°

In ΔPSR & ΔPSQ,

Statement                     Reason

RS ≅ QS                       S is midpoint of QR

∠RSP ≅ ∠QSP              QR ⊥ PS

PS ≅ PS                         Reflexive property

ΔPSR ≅ ΔPSQ               Side Angle Side - S A S Congruent

PR≅  PQ                        CPCTC

In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at [tex]x = 0[/tex]

We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:

[tex]f(x) = 1, 0 \leq x < 2[/tex]

Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.

For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003

Answer:

-natural

-whole

-integer

-rational

Brainliest is very much appreciated! :)

Answer:

80%

Step-by-step explanation:

8 + 4 + 3 + 5 = 20 (total candies)

8 + 3 + 5 = 16 (not KitKats)

16 ÷ 20 = 0.8

0.8 × 100 = 80

Answer:

[tex] = \frac{2}{4} \div \frac{1}{4} [/tex]

find reciprocal of ¼:

[tex] = \frac{2}{4} \times \frac{4}{1} \\ \\ = \frac{2}{1} \\ \\ = 2[/tex]

Answer:

2

Step-by-step explanation:

the first step is to change the sign from a division sign to a multiplication sign and when you change the sign you also have to swap one side by placing the numerator down and the denominator up

2/4÷1/4

2/4×4/1

8/4

2

I hope this helps

Answer:

SinA=k/g

cotA=k/j

secA=g/j

cosecB=g/k

tanB=l/k

cosB=k/g

Answer:

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Step-by-step explanation:

Ans 6 Use Pythagoras theorem...

Hypotneuse²=Base²+Height²

6²=4²+H²

36-16=H²

20=H²

√20=H

√2×2×5=H

2√5 = H....

hope it helps

Problem 4

Draw a diagonal to connect the opposite non-right angles as shown below. This forms two right triangles. As you can probably guess, we'll use the pythagorean theorem to find the length of this segment. We'll call it x.

a^2+b^2 = c^2

7^2+24^2 = x^2

49+576 = x^2

x^2 = 625

x = sqrt(625)

x = 25

The hypotenuse of each right triangle is 25 units long.

Move your focus to the upper right triangle. We can use the pythagorean theorem again in a slightly different way to find y.

a^2+b^2 = c^2

15^2+y^2 = 25^2

225+y^2 = 625

y^2 = 625-225

y^2 = 400

y = sqrt(400)

y = 20

====================================================

Problem 6

The largest triangle, ignore segment x for now, is isosceles because we have two congruent sides.

As with any isosceles triangle, the vertex angle is bisected by the perpendicular bisector as shown in the diagram. This produces two identical right triangles. Most importantly, it means that horizontal side 4 is cut in half to 4/2 = 2 units.

In short, each smaller right triangle has a horizontal leg of 2, vertical leg x, and hypotenuse 6. Let's focus on just one of those right triangles.

Like the previous problem, we'll use the pythagorean theorem to find x.

a^2+b^2 = c^2

x^2+2^2 = 6^2

x^2+4 = 36

x^2 = 36-4

x^2 = 32

x = sqrt(32)

x = sqrt(16*2)

x = sqrt(16)*sqrt(2)

x = 4*sqrt(2)

9514 1404 393

Answer:

  D.  5.4

Step-by-step explanation:

The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.

  SU = UP/2 = 3.6/2 = 1.8

The length of PS is ...

  PS = PU +US = 3.6 +1.8

  PS = 5.4

__

Additional comment

If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{MN}{sinL}[/tex] = [tex]\frac{LM}{sinN}[/tex] , that is

[tex]\frac{34}{sinL}[/tex] = [tex]\frac{42}{sin27}[/tex] ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = [tex]\frac{34sin27}{42}[/tex] , then

∠ L = [tex]sin^{-1}[/tex] ( [tex]\frac{34sin27}{42}[/tex] ) ≈ 21.6° ( to the nearest tenth )

Answer:

85.2

Step-by-step explanation:

we can represent this in an equation where the initial value is going to be and to this we will subtract 2.6% of it

x - x * 2.6/100 = 83

x - 0.026x = 83

0.974x = 83

x = 83 / 0.974

x = 85.2156

we round to the nearest tenth and finally, we get that the result is 85.2

Answer:

She borrowed 4000 from bank.

Step-by-step explanation:

Let 'y' be the amount borrowed from bank. Then 10000-y is the amount borrowed from her mother-in-law.

Let x= interest amount gained by bank . Then 1080- x = interest gained by mother-in-law

I1= interest rate by bank= 9%

I2= interest rate by mother-in-law=12%

Time(T) = 1 year

Now, By Simple Interest formula:

x=PTR/100

Or, x=(y*1*9)/100

Or,100x=9y

or,9y-100x=0...........................Equation (i)

Again 1080-x= ((10000-y)*1*12)/100

Or, 108000-100x=120000-12y

Or, 12y-100x=12000.................Equation(ii)

Solving equation (i) and (ii), we get

y= 4000, which the amount borrowed from bank.

Answer:

[tex]\sqrt{193}[/tex]

Step-by-step explanation:

[tex]c^2=a^2+b^2\\c^2=12^2+7^2\\c^2=144+49\\c^2=193\\c=\sqrt{193}[/tex]

Answer:

x = [tex]\sqrt{193}[/tex]

Step-by-step explanation:

The given is a right triangle and in right triangles the square value of hypotenuse is equal to sum of other two side lengths' square value

12^2 + 7^2 = x^2

144 + 49 = x^2

193 = x^2

x = [tex]\sqrt{193}[/tex]

- Hey Risap! :)

[tex] \large{ \tt{❁ \: ANSWER : \boxed{ \tt{25\%}}}}[/tex]

[tex] \large{ \tt{♕ \: REFER \: TO \: THE \: ATTACHMENT \: !!}}[/tex]

======================================================

Explanation:

We get this point by doing two things.

If we started with x = -3, then x-2 = -3-2 = -5. Also, if we had y = -1 then y-7 = -1-7 = -8

So that's how we end up with Z(-3,-1) moving to Z ' (-5, -8)

You could also show your work like this

[tex](x,y) \to (x-2, y-7)\\\\(-3,-1) \to (-3-2, -1-7)\\\\(-3,-1) \to (-5, -8)\\\\[/tex]

Answer:

nice answer

Step-by-step explanation:

true because there is every assurance that you might lose or win

Answer:

41

Step-by-step explanation:

The absolute value means take the non-negative number

|-41| = 41

70

Step-by-step explanation:

here,

area of parallelogram =base ×height

so,

base is given 10 cm and height is given 7 cm

Now

base ×heights

10×7

70

Answer:

How many balls have “R” written on them initially? We can see this is 2.

How many balls are there initially? This is 9.

As a result, the probability of initially drawing a ball with an R on it is 2/9, as out of the 9 possible draws we could make, 2 of them result in a ball with R on it.

How many balls have “R” written on them now? We can see this is 1, since we just drew one ball with R on it and didn’t replace.

How many balls are there in total right now? This is 8, because we took away one.

As a result, the probability of drawing a ball with an R on it after having already done so is 1/8, as out of the 8 possible draws we could make, 1 results in a ball with R on it.

We then multiply these two values (2/9)*(1/8) = 2/72, which is our probability.

Another way to think about this is that there are 72 possible combinations of balls that we could draw, counting each ball uniquely. This is because of our denominator, since 8*9=72. Out of those 72 outcomes that could possibly happen, 2 outcomes will result in both balls being written with R.

Step-by-step explanation:

Answer:

total blackberry: $23

total blueberry: $12.80

total: $35.80

Step-by-step explanation:

the blackberry jam is $5/lb

therefore, 4.6 pounds of it -

5 x 4.6

=23

the blueberry jam is $8/lb

using the same method we do

8 x 1.6

=12.8

adding the two totals -

23 + 12.8 = 35.8

in other words, the two jams will be $35.80