What is the midpoint formula

Answer:

  x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

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  [tex]3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}[/tex]

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Additional comment

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

Work Shown:

12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5

Jerry climbed 250 steps in 12.5 minutes

unit rate = (250 steps)/(12.5 min)

unit rate = (250/12.5) steps per min

unit rate = 20 steps per min

The unit rate is basically the same as the average speed.

Answer:

3x + 6.

Step-by-step explanation:

That would be x + x +2 + x + 4

= 3x + 6.

Verify this  by adding 7 9 and 11:

7 + 9 + 11 = 27

3(7) + 6 =  21 + 6 = 27.

Answer: 19.5ft

Step-by-step explanation: L represents length and b represents width or breadth

Find the stepsteps in the file.

Answer:

$20

Step-by-step explanation:

revenue would be    price * quantity

 p ( 120-3p)

   -3p^2 + 120p   = revenue     max will occur at p = - b/2a = - 120/((2)(-3))

p max rev = 20

Volume of the box = 5.2 × 9.6 × 6

= 299.52 ≈ 300 cm³ (approx)

Answer:

Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what he said

Answer:

D

Step-by-step explanation:

(z + 6)(2z² + 3z + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis

= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms

= 2z³ + 15z² + 23z + 30

Answer:

let's see....

lil info about elimination method:

it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.

look at -6 in the first equation and the other -6 below it in the second equation.

if you have something like that, then just look for a symbol like - or + that will eliminate them

so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.

so x cannot be negative...

so x = -2.

( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)

I hope this helps

The probability of drawing an even number is 1/2.

The probability of drawing a card that can be divided by 5 is 1/5.

The probability of drawing a card that can be divided by 10 is 1/10.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

a.

There are 20 even numbers between 1 and 40.

The probability of drawing an even number.

= 20/40

= 1/2

b.

There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).

The probability of drawing a card that can be divided by 5.

= 8/40

= 1/5

c.

There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).

The probability of drawing a card that can be divided by 10.

= 4/40

= 1/10

Thus,

The probability of drawing an even number is 1/2.

The probability of drawing a card that can be divided by 5 is 1/5.

The probability of drawing a card that can be divided by 10 is 1/10.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

Answer:

The answer is

[tex]6.47 \times 10 {}^{ - 5} [/tex]

4

hope it helps....!!!!

Answer:

The Second option, all parallelagrams are quadralatterals.

Step-by-step explanation:

because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.

Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.

The parameters are given as follows:

[tex]\overline{x} = 78, s = 10, n = 4[/tex]

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]

The 95% confidence interval is (71.63, 84.36).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

(62.09, 93.91)

Step-by-step explanation:

The correct answer on Khan

Answer:

+6

Step-by-step explanation:

8x+2y=2so,

-3(8x+2y)

-3(-2)

-3×-2

remember -×- is a + so,

the answer is +6

Answer:

Step-by-step explanation:

Given

Multiply both sides by -3

Answer

12x-9x-45 (put a 2 above the x on the 12)

Step-by-step explanation:

(2x-9)(x+5)

2x(x) = 2x

2x(5) = 10x

-9(x) = -9x

-9(5) = -45

2x^2+10x^2-9x-45

2x^2+10x^2 = 12x^2

12x^2-9x-45

Answer:

Q=91, S = 153

Step-by-step explanation:

QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.

Answer:

a

Step-by-step explanation:

if its the same one i saw, the answer is a :)

Answer:

D. 9

Step-by-step explanation:

All the other answers are lower than 8.

Answer:

..... :P

Step-by-step explanation:

I'm not sure man try asking a tutor

The values of the x when the square root is taken on both sides are negative 4 and negative 14.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

The equation is given below.

(x + 9)² = 25

Taking square root on both sides, then we have

(x + 9) = ±5

When the positive sign is considered, then we have

x + 9 = 5

     x = -4

When the negative sign is considered, then we have

x + 9 = -5

     x = -14

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

44

Step-by-step explanation:

i done this

Answer:

D

Step-by-step explanation:

ABC are linear so it has to be d

Answer:

Step-by-step explanation:

6x + 8y = 13

8y = 13 - 6x

y = (13 - 6x) / 8

f(x) = (13 - 6x) / 8

x = (13 - 6f^-1(x)) / 8

8x = 13 - 6f^-1(x)

6f^-1(x) + 8x = 13

f^-1(x) = (13 - 8x) / 6

Answer:

its 4/5

Step-by-step explanation:

cube of four is 64 and cube of 5 is 125

Answer:

4 / 5

Step-by-step explanation:

∛( 64 / 125 )

= ∛64 / ∛125

64 can be simplified as 4 x 4 x 4.

∛64

= ∛ ( 4 x 4 x 4 )

= 4

125 can be written as 5 x 5 x 5.

∛125

= ∛ ( 5 x 5 x 5 )

= 5

∛ ( 64 / 125 ) = 4 / 5