a plant grows by 1.67cm in its first week. each week it grows by 4% more than it did the week before. by how much will grow in nine weeks, including the first week?​

What we need to memorize when finding the slope is this formula:

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m here represents the slope. I hope this does not confuse you with line m.

The problem here is that we do not have any given points, but we have a way.

If we notice on the graph, the graph contains or passes through (2,-1) and (-2,1). We can use these points to find the slope. So let these be the following:

[tex] \displaystyle \large{(x_1,y_1) = (2 ,- 1)} \\ \displaystyle \large{(x_2,y_2) = ( - 2 ,1)} [/tex]

Then we substitute these points in the formula.

[tex] \displaystyle \large{m = \frac{ 1 - ( - 1)}{ - 2 - 2} }[/tex]

negative × negative = positive.

[tex] \displaystyle \large{m = \frac{ 1 + 1}{ - 2 - 2} } \\ \displaystyle \large{m = \frac{ 2}{ - 4} } \longrightarrow \boxed{m = - \frac{1}{2} }[/tex]

Since m represents the slope. Therefore, the slope of line m is -1/2

9514 1404 393

Answer:

  d) 10.38%

Step-by-step explanation:

The multiplier for four quarters of quarterly compounding is ...

  (1 +10%/4)^4 = 1.025^4 = 1.103812890625

This is about 1 + 10.38%.

The effective rate of interest is about 10.38% per annum.

9514 1404 393

Answer:

  -x^4/(2y)

Step-by-step explanation:

Perhaps you want to simplify ...

  [tex]-\dfrac{3x^5y^7}{6xy^8}=-\dfrac{3}{6}x^{5-1}y^{7-8}=-\dfrac{x^4y^{-1}}{2}=\boxed{-\dfrac{x^4}{2y}}[/tex]

__

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

_____

Comment on notation

When writing a fraction in plain text, any denominator that includes an arithmetic operation must be enclosed in parentheses. Your given expression is properly written as ...

  -3x^5y/(6xy^8)

Without the parentheses, the product xy^8 is in the numerator. This is demanded by the order of operations, which requires you evaluate your expression as (-3x^5y^7/6)·xy^8

Answer:

opposite angles

Step-by-step explanation:

They are formed in the intersection of lines AD and BD.

Answer:

opposite angles

Step-by-step explanation:

they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.

[tex]\\ \sf\longmapsto 112^2[/tex]

[tex]\\ \sf\longmapsto (100+12)^2[/tex]

[tex]\\ \sf\longmapsto 100^2+2(100)(12)+12^2[/tex]

[tex]\\ \sf\longmapsto 10000+2400+144[/tex]

[tex]\\ \sf\longmapsto 12400+144[/tex]

[tex]\\ \sf\longmapsto 12544[/tex]

112²

(a + b)² = (a² + 2ab + b²)

⇛112²

⇛(100 + 12)²

⇛(100)² + 2 × 100 × 12 + (12)²

⇛10000 + 2400 + 144

⇛12400 + 144

⇛12544

Answer:

4

Step-by-step explanation:

First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.

In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so

(6+y)/y = x/2

Since x is clearly made up of 3 and 2, we can say 3+2=x=5

(6+y)/y = 5/2

multiply both sides by y to remove a denominator

6+y = 5*y/2

multiply both sides by 2 to remove the other denominator

12+2y = 5*y

subtract both sides by 2y to isolate the y and its coefficient

12 = 3y

divide both sides by 3 to isolate the y

y=4

Answer:

20

Step-by-step explanation:

Answer:

A. 1 + 3x = -89

B. x = -30

Step-by-step explanation:

Let the unknown variable be x.

A. Translating the word problem into an algebraic expression, we have;

1 + 3x = -89

B. To solve for the unknown variable;

1 + 3x = -89

3x = -89 -1

3x = -90

x = -90/3

x = -30

Check:

1 + 3x = -89

Substituting the value of x;

1 + 3(-30) = -89

1 + (-90) = -89

1 - 90 = -89

-89 = -89

Answer:

No, because the ratio of pay to hours is not the same for each pair of value.

Answer:

150 are unoccupied

Step-by-step explanation:

If 75% are occupied, then 100% -75% = 25% are unoccupied

600 *25%

600 *.25

150

150 are unoccupied

Answer:

150

Step-by-step explanation:

100% - 75% = 25%

25% of seats unoccupied

hence,

number of seats unoccupied = 25/100 * 600 = 150

Answer:

3 bags

Step-by-step explanation:

you can buy three, 20 kg bags

one (1) 20kg bag =  $12.8 (1)

three (3) 20 kg bags = $12.8 (3)

                                  = $38

your balance 10 dollars

Answer:

16cm

Step-by-step explanation:

Area is A = bh

to find a base, b = A/h

A=80

h=5

so then we have b = 80/5 = 16

Answer:

a. P = 30

b. Y = 40

Step-by-step explanation:

Given the following data;

P = 1.2

Y = 100

First of all, we would have to determine the constant of proportionality;

P = k/Y (inverse proportion or relationship)

1.2 = k/100

k = 1.2 * 100

k = 120

a. To find the value of p when y = 4;

P = k/Y

P = 120/4

P = 30

b. To find the value of y when p = 3;​

P = k/Y

Y = k/P

Y = 120/3

Y = 40

Answer:

A. Men had less distress from nausea on average than women but we can not determine if this is a significant difference.

Step-by-step explanation:

Working based on the information given, the mean values of each group with with men having an average score of 1.02 and women have an average of 1.79 this reveals that distressing nausea on average is higher in women than in men . However, to test if there is a significant difference would be challenging as the information given isn't enough to make proceed with the test as the standard deviations of the two groups aren't given and no accompanying sample data is given.

Answer:

I believe the answer is 4 37/50!

Answer:

hope. It helps. What. I Understood

Step-by-step explanation:

The answer is mentioned above.

Answer:

undersea trench

Step-by-step explanation:

Absolute value is the distance from zero

The highest mountain trench is |29028| or 29028 ft from zero

The lowest under sea trench is | -35840| of 35840 ft from zero

The highest absolute value is the undersea trench

Height always be positive .

Absolute value:-

[tex]\\ \sf\longmapsto |29028|=29028ft[/tex]

Absolute value:-

[tex]\\ \sf\longmapsto |-35840|=35840ft[/tex]

Answer:

3/6=?/10

Step-by-step explanation:

multiply by together. ?=5

Answer:

A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95

Step-by-step explanation:

{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}

First find the median or the 2nd quartile

There are 9 data points so the middle is the 5th

4.3, 4.5, 4.7, 5,     5.5,     5.7, 5.9, 6, 6.1}

Q2 = 5.5

Now looking at the data on the left, we need to find the middle, which is Q1 or the first quartile

4.3, 4.5     , 4.7, 5,

It is between 4.5 and 4.7 so we average

(4.5+4.7)/2 = 9.2/2 = 4.6

Q1 is 4.6

We do the same for the data on the right, which is the third quartile or Q3

5.7, 5.9,  6, 6.1

(5.9+6)/2 = 11.9/2 = 5.95

Q3 = 5.95

Answer: IT'S A !!

Step-by-step explanation:

Answer:

THE ANSWER IS

Answer:

h(-6) = 3(-6)² - 6(-6) + 4

= 3(36) + 36 + 4

= 148

You basically just substitute x with -6 that's all

Answer:

-3; 1

Step-by-step explanation:

y-intercept is when x = 0

y = -4(0.3)^0 + 1

anything to the power of 0 is 1

y = -4(1) + 1

y = -4 + 1

y = -3

The asymptote of an exponential function is the vertical translation which in this case is 1

Answer:

12

Step-by-step explanation:

Given the data :

X : 10,8,18,17,7

The mean value of scores obtained can be obtained thus :

Mean = ΣX / n

n = sample size = 5

Mean = ΣX / n = (10+8+18+17+7) / 5

Mean = 60 / 5 = 12

[tex] \Large \mathbb{SOLUTION:} [/tex]

[tex] \begin{array}{l} \text{Let }r\text{ be the rate of the boat in still water and} \\ c\text{ be the rate of the current.} \\ \\ \text{So } \\ \begin{aligned} \quad&\bullet\:\text{Rate Upstream}= r - c \\ &\bullet\:\text{Rate Downstream}= r - c\end{aligned} \\ \\ \text{We know that }\text{Rate} = \dfrac{\text{Distance}}{\text{Time}}. \end{array} [/tex]

[tex] \begin{array}{l} \bold{Equations:} \\ \\ \begin{aligned} &\quad\quad \quad r - c = \dfrac{104}{4} = 26\quad (1) \\ \\ & \quad \quad \quad r + c = \dfrac{200}{4} = 50\quad (2)\\ \\ & \text{Adding (1) and (2), we get} \\ \\ &\quad\quad 2r = 76 \implies \boxed{r = 38\ \text{kph}} \\ \\ &\text{Using (2), it follows that} \\ \\ & \quad \quad c = 50 - r \implies \boxed{c = 12\ \text{kph}} \end{aligned} \end{array} [/tex]

Answer:

It is (B) ED2021

Explanatory variable: time spent streaming videos

Response variable: time spent exercising

Answer:

While central tendency tells you where most of your data points lie, variability summarizes how far apart your points from each other. Data sets can have the same central tendency but different levels of variability or vice versa. Together, they give you a complete picture of your data.

Step-by-step explanation: