What number has 7 as 1/10

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

Answer:

17 hour

Step-by-step explanation:

8+9=17

Answer:

A and D

Step-by-step explanation:

Rational numbers that can be written as a fraction of two integers (without a denominator of 0).

The other three cannot be written as a fraction or two integers.

Answer:

Solution: 2x-6y divided by -24

2x=-24(-6y)

2x=6y-24

x=(6y-24) divided by 2

x=(6y-24)x 1/2

x=6y x 1/2 -24 x 1/2

x=3y-24x1/2

x=3y-12

Answer: The slope is 2

Step-by-step explanation:

The slope is the Rise (the change in y) over the Run (the change in x).

We can calculate the Rise and Run from the two given points:

(0.3) and (5,13)

Rise = (13 - 3) = 10

Run =  (5 - 0) = 5

Rise/Run = 10/5 = 2:  the slope is 2.

The equation for this line is y = 2x + b.  The y-intercept, b [from the general form y=mx+b (where m is the slope)]  is the value of y when x=0.  The point (0,3) says y=3 when x=0, so b = 3.

y = 2x + 3.

Answer:

.006453

Step-by-step explanation:

6.453 x 10^-3

Move the decimal 3 places to the left since the exponent is negative

006.453

.006453

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

The parameters are given as:

[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005

[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines

To model a population, we make use of the following exponential function

[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]

Where P is the current population in t years.

So, we have:

[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]

When the population reaches half of the initial population, then P = 5000.

So, we have:

[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]

[tex]\mathbf{0.5 = (0.997)^t}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]

Rewrite the equation as

[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]

Make t the subject

[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]

[tex]\mathbf{t = 231}[/tex]

This means that the population will halve its initial population in 231 years.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

Read more about population functions at:

https://brainly.com/question/25704773

Answer:

y = 1/6x -1

Step-by-step explanation:

Use point-slope form: y - y₁ = m (x - x₁)

y - (-2) = 1/6 (x - (-6))

y + 2 = 1/6x + 1

y = 1/6x - 1

Answer:

[tex]y=\frac{1}{6}x-1[/tex]

Step-by-step explanation:

According to,

y = mx + c

They have already given the slope of the line.

That means they've given value for m

So,

m = [tex]\frac{1}{6}[/tex]

And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)

Here,

 ( -6 , -2 )

   ↑    ↑

  ( x ,  y )

Let us find the c now.

y = mx + c

[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]

Now let's write the equation of the line like this

y = mx+ c

[tex]y=\frac{1}{6}x-1[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

$68.53. 67%

Step-by-step explanation:

$68. 58 I think I'm not sure

Answer: Choice D

Explanation:

We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).

Answer:

the correct is C. because they are lines going to 2.

Answer:

18064

Step-by-step explanation:

these equations are always in this order:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".

Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm

Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]

Step-by-step explanation:

168/3 = 56

so 112 sodas

56 hotdogs

Answer:

-1/5

Step-by-step explanation:

-0.2

-2/10

-1/5

So just move -1/5 back from 0 .

Answer:

656.36

Step-by-step explanation:

you just divide then have to round the decimal point to 36

Answer: 8

Step-by-step explanation:

Step-by-step explanation:

only the second one fulfills the rule that every value of x must have exactly 1 assigned result value (y).

the first option has two different result values (3 and 5) for x = 1.

the third has 2 different result values (3 and 4) for x = 2.

the fourth has 2 different result values (2 and 4) for x = 2, and also 2 different result values (0 and 2) for x = 0.

Answer: ( 2 x 7 ) a + 2

Step-by-step explanation:

Answer:

4hours

um...

57×10-== 4 hours

Answer:

Angle K = 70degrees

Angle L = 68degrees

Step-by-step explanation:

Angle in a triangle add up to 180degrees

Figure out triangle the small triangle to the left side of the paper.

42+68+x=180

110+x=180

X=70

Angle K = 70degrees

Knowing that figure for angle L

70+42+x=180

112+x=180

X=68

Angle L = 68degrees

Answer:

x < -7

Step-by-step explanation:

Subtract 2 on both sides to get x < -7.

Hope this helps :)

Answer:

[tex] \sqrt[6]{729} [/tex]

Answer:

[tex]2.5y^{3}x[/tex]

Answer:

4x² - 28xy + 49y²

Step-by-step explanation:

(2x - 7y)²

= (2x - 7yy)(2x - 7y)

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

2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis

= 4x² - 14xy - 14xy + 49y² ← collect like terms

= 4x² - 28xy + 49y²

Step-by-step explanation:

sorry that's all i know hehe