Use prime factor decomposition, to find the HCF of 90 and 210!​

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_n=(-3)*a_{n-1}\\a_1=-3\\Answer\ A[/tex]

Option A is correct -

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)\;\;n > 1}} \right.[/tex]

We have a sequence : –3, 9, –27, 81, . . . .

We have to find the recursive formula for this sequence.

The formula to find the recursive of geometric sequence is -

[tex]a_{n} =ra_{n-1} \;\;\;\;for\;n\geq 2[/tex]

We have the following sequence -

–3, 9, –27, 81, . . . .

First let's see if it is a geometric sequence or not. For a sequence to be a geometric sequence -

[tex]\frac{9}{-3} =\frac{-27}{9} =\frac{81}{-27}= -3=r[/tex]

Hence, it is a geometric sequence with r = -3.

Substituting the value of r in the formula of recursive, we get -

[tex]a_{n} = -3a_{n-1}[/tex]    and      [tex]a(1)=-3[/tex]

Hence, Option A is correct.

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Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

-7 = b

Answer:

9

Step-by-step explanation:

5/3 (x + 1/2) = 95/6

5/3 × 1/2 = 5/6

5/3x + 5/6 = 96/6

         -5/6     -5/6

---------------------------

5/3x = 90/6

5/3x = 15

------    ----

5/3      5/3

x  = 9

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

Answer:

An electric company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used, x 200 The function b(ar) = { 0.102, 0.15(x - 200) +20, 200 determines the bill How much is the bill for a person who uses 800 kWh in a month?

The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).

Answer:

B

Step-by-step explanation:

|3m-2|=>1

1 <= 3m-2 or 3m-2 <= -1

3 <= 3m or 3m <= 1

1 <= m or m <= (1/3)

Answer:

-infinity < y ≤ 2

Step-by-step explanation:

A is correct.  The largest value y can have is 2, whereas there is no smallest value.   -infinity < y ≤ 2

The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.

The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.

It means that the range of the function is varying from negative infinity to a positive value of 2.

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Answer:

It's False Because Hypotenuse will be the longest side of leg here

Answer:

Step-by-step explanation:

In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:

[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:

[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;

[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so

r = 3.784698783 and plug that in for the radius to find the area of the circle base:

[tex]A=\pi r^2[/tex] so

[tex]A=\pi (3.784698783)^2[/tex] gives you that

A = 45 meters squared, exactly. No decimal.

Answer:

Step-by-step explanation:

On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.

The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.

Answer:

Red line: y=-1/2x+1  Blue line: y=-1/3x-2  Green line: y=x

Step-by-step explanation:

f(x) red line m=-1/2 b=1

g(x) blue line m=-1/3 b=-2

h(x) green line m=1 b=0

Step-by-step explanation:

Super Pioneer:

If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:

4: 1.6

1:. X

4x = 1.6

X = 1.6/4

X = 0.4

1 lemon costs 0.4 dollars

How many lemons could we get from $2.4?

1 : 0.4

X : 2.4

0.4x = 2.4

X = 2.4/0.4

X = 6

2.4 dollars would get you 6 lemons

8 lemons would cost= 8x0.4 = $3.2

Keyfood Supermarket

3 lemons cost 1.8$, so how mucb does 1 lemon cost?

3: 1.8

1 : X

3x = 1.8

X = 1.8/3

X = 0.6

If 1 lemon costs 0.6, how many lemons could you buy from $3?

1: 0.6

X : 3

3 = 0.6x

X = 3/0.6

X = 5

If 1 lemon cost 0.6$, 8 lemons would cost:

8 x 0.6 = $4.8

(I have also edited the answers on the table, but sorry if they seem a bit messy)

Answered by G a u t h m a t h

Answer:

[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 150^{2}[/tex]

a=b

[tex]2a^{2} = 150^{2}[/tex]

[tex]a =\sqrt{150^{2}/2 }[/tex]

Answer:

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

Answer:

40

Step-by-step explanation:

Total is 150

Germany=1/3 *150 = 50

Italian= 2/5 * 150 = 60

Total - Germany- Italian= French

150 - 50 -60= 40

if the rolls come in 8

then we check which multiples 8 and 10 have in common which is 40

8,16,24,32,40

10,20,30,40

which is 5 packages of rolls and 4 pack of hot dogs

if the rolls are 12

we check the multiples which they have in common

12,24,36,48,60

10,20,30,40,50,60

which is 5 packages of rolls and 6 pack of hot dogs

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Answer:

Selling price is $60000/d

Step-by-step explanation:

Let the selling price be say $x. Now the commission is d% of x, that is (d/100)*x=600. x=60000/d

Commission of d% amounts to 600 the selling price in dollers will be

Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $

The price of an item which i have sold to someone is my selling price and for the person it is his/her cost price.

When my selling price is more than my cost price I make profit.

When my selling price is less than my cost price i make loss.

In the given question d% of commision amounts to 600$. Let us assume d% = 10 % for easy understanding.

[tex]\frac{percentage}{100}[/tex] * selling price = 600

[tex]\frac{d}{100}[/tex] * selling price = 600

Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $

or, 60000/10 = 6000 $

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Answer:

68 words

Step-by-step explanation:

To find how many words Gordon types per minute :

1972 ÷ 29 = 68 #

Answer:

67 degrees (Answer 2)

Step-by-step explanation:

These two angles must sum up to 180 degreess because they are supplementary.  Then:

7x + 11 + 14x + 1 = 180, or

21x + 12 = 180, or

21x = 168

Solving for x, we divide both sides by 21.  This results in x = 8.

The measure of the smaller angle is 7x + 11, which here is 7(8) + 11 = 67 degrees (Answer 2).

It's not a typo that 0 is written twice.

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

Explanation:

This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.

Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0

slope = rise/run

The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.

In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.

This is why you'll type 0 into the first two boxes.

------------------

As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.

We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.

Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.

Answer:

-5x³ + 3x³ + 2x + 6

Step-by-step explanation:

if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :

what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?

the answer is

6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =

= -5x³ + 3x³ + 2x + 6

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

Answer:

1.54

Step-by-step explanation:

88° = 88° × π ÷ 180

= 88° × 3.142 ÷ 180

= 88° × 0.0175

= 1.54

Answer:

[tex]f(x) = 5 - (x - 4)^2[/tex].

Step-by-step explanation:

[tex]f(x) = 5 - (x - 4)^2[/tex]

[tex]f(x) = 5 - (x-4)*(x-4)[/tex]

[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]

[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]

[tex]f(x) = 5 - x^2 + 8x - 16[/tex]

[tex]f(x) = -x^2 + 8x - 11[/tex].

Hope this helps!

Answer:

Step-by-step explanation:

(b)

(i)

(ii)

(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median

(b)  Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:

(iii) P(pass) = 323/500 = 0.626 or 62.6%

Answer:

s = 2

Step-by-step explanation:

I'll be using the substitution method.

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

Answer: (0, 12)

Step-by-step explanation:

2x + 3y = 36

2(0) + 3y = 36

3y = 36

3/3 36\3

= 12

On edge

Answer:

a

Step-by-step explanation:

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%