Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,

Answer:

[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_n=a_1r^{n-1}[/tex]

We have the geometric sequence: 1, -2, 4, -8, ...

Find the common ratio:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]a_1=1,\ a_2=-2[/tex]

substitute:

[tex]r=\dfrac{-2}{1}=-2[/tex]

Substitute

[tex]a_1=1;\ r=-1[/tex]

to

[tex]a_n=a_1r^{n-1}[/tex]

[tex]a_n=1\cdot(-2)^{n-1}[/tex]

Answer:

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Step-by-step explanation:

Hi there!

Let's do it,

1)[tex]1,-2,4,-8[/tex]  

First let's find the q, the common ratio by dividing the second term by the anterior one.

-2:1 =-2

4:-2=-2

So the common ratio is -2. Plugging in on the General formula:

[tex]a_{n}=a_{1}q^{n-1}[/tex]

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Answer:

3

Step-by-step explanation:

To do this you would take absolute value so you get [tex]2x+6\leq 10[/tex] then you would subtract 6 from both sides so you get [tex]2x\leq 10[/tex] then you would divide 2 from both sides so you would get [tex]x\leq 2[/tex] so graph 3 would be the write answer

Answer:

A) C

B) 47 inches

Step-by-step explanation:

A)  The range on the horizontal axis is 0 to 5, we cannot tell how many students collected the exact number of bottles.

The correct option would be the number of students who collected exactly 4 bottles.

B) The mean of a data set is written as:

[tex]mean = \frac{sum \: of \: terms}{number \: of \: terms}[/tex]

[tex]mean=\frac{45+48+49+40+53}{5}[/tex]

[tex]mean=\frac{235}{5}[/tex]

[tex]mean=47[/tex]

The average height of the students is 47 inches.

Answer:

A & B

Step-by-step explanation:

Answer:

A) 56/x=85/100

C) 56=(0.85)w

Step-by-step explanation:

Sonce 56/.85=65.88, we look for the two that have that answer.

A) 56/x=85/100

cross multiply 5600=85x

divide by 85

x=65.88 - YES

B) p=(0.85)56=47.6 - NO

C) 56=(0.85)w

Divide both sides by 0.85=65.88 - YES

D) x/56=85/100

100x=4760=47.6 - NO

Answer:

p > q

Step-by-step explanation:

We khow that the sum of a triangle's angles is 180°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's start with the triangle containing p

● p+60+50 = 180

● p+110 = 180

● p = 180-110

● p= 90°

So p is a right angle

□□□□□□□□□□□□□□□□□□

The second triangle

● q+ 80+30 = 180

● q+ 110 = 180

● q = 180-110

● q = 70°

Then q is also a right triangle

■■■■■■■■■■■■■■■■■■■■■■■■■

We can deduce that p > q

Answer:

The first relation is not a function.

Step-by-step explanation:

If you see two points in which one is vertically above the other, then it is not a function. In other words, if in a relation, two points have the same x-coordinate and different y-coordinates, that relation is not a function. The only example in which this happens is the first graph.

The first relation is not a function.

Answer

the answer is (-3,-5)

Step-by-step explanation:

Answer:

$6.35

Step-by-step explanation:

5*25=125

125+500=625

625+10=635

635/100=6.35

Answer:

$6.35

Step-by-step explanation:

500 pennies = $5.00

5 quarters = $1.25

.10+1.25+5=6.25

Answer:

Below

Step-by-step explanation:

● 2-a > -12+4

●2-a > -8

Substract 2 from both sides

● 2-a-2 > -8-2

● -a > -10

Multiply both sides by -1 and switch the sign

● a < 10

So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .

Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2

hope this helps!

Answer: 2:3

Step-by-step explanation:

2:5,

3+2=5, which is the total amount,

2 is the number of white chocolate candies

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

Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

Answer:

30xy

Step-by-step explanation:

Area for rectangle is length * width

____________________________________

Given

length of tile = x

width of tile = y (here y is given as height , it can be considered as width)

area of one tile = x*y = xy

there are 30 tiles used

thus area of 30 tiles = 30* area of one tile = 30xy

Thus, area of tiled parts is   30xy

Answer:

62.5°

Hope this helps :)

Answer:

-729

Step-by-step explanation:

[tex]-9^3 = -9 x (-9) x (-9) =[/tex]

          [tex]-9x(-9) = 81[/tex]

                   [tex]81x(-9)=-729[/tex]

Answer:

[x]   f(x)

[-6]  13

[-3]   4

[0]   1

[3]   4

[9]   28

Step-by-step explanation:

f(0) = (1/3)(0^2)+1 = 1

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

f(9) = (1/3)(9^2)+1 = 28

Answer:

Step-by-step explanation:

Let the price of the vase before increase = x

110 % of x = £ 22

[tex]\frac{110}{100}*x=22\\\\x=22*\frac{100}{110}\\\\x=2*10\\[/tex]

x = £ 20

Answer: 63 degrees.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

Therefore: 54 + y + y = 180

So 54 + 2y = 180

So 2y = 126

Therefore y = 63 degrees.

Answer:

Step-by-step explanation:

It is comes under geometric sequence;

40 , 80 , 160 ,320 , ........

First term = a = 40

Common ratio = r = 2

nth term = [tex]ar^{n-1}\\[/tex]

Number of sheep on the farm by the end of each year = [tex]40*(2)^{n-1}\\[/tex]

Answer:

26% or 10/39

Step-by-step explanation:

Since box A has 5 dark chocolates and 10 milk chocolates, there are 15 chocolates in all. Box B has 24 chocolates in total (12 milk, 12 dark). So there is a total of 39 chocolates in all.

There are 10 milk chocolates in Box A, so the probability of choosing any one milk chocolate out of the total 39 is 10/39 or in percentage, 26%.

Answer:

39.5

Step-by-step explanation:

Let's figure out the equations of l and m first.

For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.

We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:

m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3

The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.

For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:

m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7

The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.

Taking the two equations, let's set 15 equal to y and solve for x:

y = (-5/3)x + 5  ⇒  15 = (-5/3)x + 5  ⇒  10 = (-5/3)x  ⇒  x = -6

y = (-2/7)x + 2  ⇒  15 = (-2/7)x + 2  ⇒  13 = (-2/7)x  ⇒  x = -91/2

Let's find the difference:

-6 - (-91/2) = 39.5

The answer is thus 39.5.

~ an aesthetics lover

Answer:

x = 5/3                    x = -1

Step-by-step explanation:

|3x–1|=4

The solution to an absolute value equation has a positive and a negative solution

3x-1 =4    3x-1 = -4

Add 1 to each side

3x-1+1 = 4+1      3x-1+1 = -4+1

3x =5                 3x = -3

Divide by 3

3x/3 = 5/3           3x/3 = -3/3

x = 5/3                    x = -1

Answer:

x=1 2/3,x=-1

Step-by-step explanation:

There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3

The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1

Answer:

5|x+2|-1

Step-by-step explanation:

Evidence is included

Step-by-step explanation:

1.) first simplify or combine like terms.[tex]\frac{3a}{5} -p-\frac{p}{9}+\frac{7p}{3} -\frac{q}{10}+\frac{1}{9}[/tex]

2.) then condense. [tex]\frac{3a}{5} +\frac{11p}{9}-\frac{q}{10}+\frac{1}{9}[/tex].

Answer:

y=1.5x

78

Step-by-step explanation:

y=1.5x

y=1.5(52)

y=78

Answer:

8 and 8/35

Step-by-step explanation: simplify the equation hope this helps:)

Answer:

9 27/35

Step-by-step explanation:

3 3/5 * 2 5/7

Change each to an improper fraction

( 5*3 +3)/5  * ( 7*2+5)/7

18/5 * 19/7

342/35

Change back to a mixed number

35 goes into 342 9 times

342-315 = 27   with 27 left over

9 27/35

Answer:

the answrr is option a 9

Answer:

f(4) = 4

Step-by-step explanation:

We have x = 4 so we use the middle line of the piecewise function since 0≤x≤4

f(x) = x

f(4) = 4

Answer:

21 and 67

21<x<67

Step-by-step explanation:

The smallest side with two sides of 23 and 44 must be more than 44-23=21

The largest side with two sides of 23 and 44 must be less than 44+23=67

So the range is between 21 and 67.

As an equation, it would be 21<x<67

Answer:

21 and 67

21<x<67

Step-by-step explanation: