8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be used to find the next number in the pattern?​

Question: Solve for x and y in the equation.

xy=80 and log x - 2 log y =1

Answer:

x = 40, y = 2

Step-by-step explanation:

xy = 80.......................... Equation 1

logx-2logy = 1

logx-logy² = 1

Applying the laws of logarithm,

log(x/y²) = log10

x/y² = 10

x  = 10y²......................... Equation 2

Substitute the value of x in therms of y equation 2 into equation 1

10y²(y) = 80

10y³ = 80

y³ = 8

y = [tex]\sqrt[3]{8}[/tex]

y = 2.

Substitute the value of y into equation 1

2x = 80

x = 80/2

x = 40

Therefore,

x = 40, y = 2

Answer:

y = mx + b

Step-by-step explanation:

Answer:

70 club members in all

Step-by-step explanation:

we know that 14 people is equal to 20%

we also know that to get 20% to 100% you multiply by 5

So, what I did was mmultiply 14 by 5 therefore bringing 14 (20%) to 70 (100%)

hope this makes sense. for other values you could just see what to multiply the percent by to get to 100 and multiply the known number by that value.

hope this helps <3

Answer:

70 members

Step-by-step explanation:

Whatever the % is, the answer on the right side of the equation must by 14

So 20% of some number = 14.

20/100 x = 14                Remember 20% = 20 / 100. Multiply by 100

20x = 14*100

20x = 1400                   Divide by 20

x = 1400/20

x = 70

There are 70 members in the club.

Kids are done no differently.

The number of people who fulfill the condition goes on the right. The left contains the % and an unknown.

9514 1404 393

Answer:

  $7

Step-by-step explanation:

Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...

  14r +12g = 206

  g = 2r -5

Using the second equation to substitute for g in the first equation, we have ...

  14r +12(2r -5) = 206

  38r -60 = 206

  38r = 266

  r = 266/38 = 7

The cost of one rose bush is $7.

Answer:

uhhhhhhhhh help with what ?

Answer:

Center... Mean

Step-by-step explanation:

The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.

Answer: 12?

Step-by-step explanation:

Answer:

Slope is -2

Step-by-step explanation:

Answer:

8 in*11 in*4 in*8 encyclopedias= 2,816 in3

Answer:

y= -3x + 3

Step-by-step explanation:

the point given tells you the y-int

given that y=mx + b, you can plug in the values

y= -3x + 3

Answer:

1224

Step-by-step explanation:

12 x 12 = 144 then do 144 x 6 = 864

15 x 12 x 1/2 = 90 then 90 x 4 = 360

Add 864 + 360 = 1224

BUT

I am not sure if this is correct. I looked up this equation and I see that it says the answer is 1080 so let me know which one you got right

Answer:

27.99996931510212 months

Rounded to the nearest tenth: 28 months

Step-by-step explanation:

Answer:

it should be the second one

Step-by-step explanation:

.........

Answer:

B

Step-by-step explanation:

the graph of a quadratic cannot be a straight line.

Answer: F

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

la solucion es 288

Step-by-step explanation:

porque 12 pisos •12 habitaciones es 144 habitaciones y multiplicar 144 con 2 personas tenemos 288.

espero que esto ayude!!

Answer:

C

Step-by-step explanation:

i think

Answer:

C

Step-by-step explanation:

Answer:

[tex]x > 15.7[/tex]

Step-by-step explanation:

1) Add 5 to both sides.

[tex]x > 10.7 + 5[/tex]

2) Simplify 10.7 + 5 to 15.7.

[tex]x > 15.7[/tex]

Therefor, the answer is x > 15.7

Answer:

[tex]x \geq 15.7[/tex]

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

Inequality Form: 15.7

Hope this helps

le tienes que sumar 5,400 para que te de el resultado

Answer:

Le tienes que añadir 5400

Step-by-step explanation:

Answer:

y= 2x+1.10

y=x+3.05

Step-by-step explanation:

Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

Answer:

-57

Step-by-step explanation:

f(-8)=6(-8)-9

f(-8)=-48-9

f(-8)=-57

Answer: 72

Step-by-step explanation:

Answer:

Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.

A few things can however be said about this function:

1) It describes a parabola that extends upward infinitely.  We can see this because it's in the classic format ax² + bx + c, and all terms are positive.

2) We can find the x-intercepts by solving for zero.  In this case we can do that by factoring it:

x² + 9x + 18 = 0

x² + 3x + 6x + 18 = 0

x(x + 3) + 6(x + 3) = 0

(x + 6)(x + 3) = 0

So the x intercepts occur at (-6, 0) and (-3, 0)

3) we can find its vertex by taking its derivative and solving for zero:

f'(x) = 2x + 9

0 = 2x + 9

x = -4.5

We can then plug that coordinate into the original function to find the y coordinate:

f(x) = x² + 9x + 18

f(-4.5) = 20.25 - 40.5 + 18

= -2.25

So the vertex is at (-4.5, -2.25)

4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9.  The integral is:

x³ / 3 + 9x² / 2 + 18x + C

Answer:

area=10.15 cm

Step-by-step explanation:

a=h*b/2

a= 2.9*7/2

a= 10.15

Answer:

According to the Central Limit theorem, the distribution is roughly normal

Step-by-step explanation:

The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;

The size of the sample = 1,000 >> 30

As the sample size approaches infinity, we have;

[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]

[tex]\overline x[/tex] = 1.5

S.D. = 1.8

n = 1000

Assume μ = 1, we get;

[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]

P(z > 1.7568) = 1 - 0.96080 = 0.0392

Therefore, it is very likely that the mean of the population is not larger than the sample mean

Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal

Answer:  S = 2(lw + lh + wh)

Step-by-step explanation:  Use this formula to find the total surface area of a prism.