Answer:
[tex]y = \frac{3}{2}x +2[/tex]
Step-by-step explanation:
Required:
Write an equation to represent this situation
Let x represents the number of weeks and y represents the growth.
When he planted it:
[tex](x_1,y_1) = (0,2)[/tex]
Two weeks later:
[tex](x_2,y_2) = (2,5)[/tex]
At 6 weeks:
[tex](x_3,y_3) = (6,11)[/tex]
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-2}{2-0}[/tex]
[tex]m = \frac{3}{2}[/tex]
Then calculate the equation using:
[tex]y - y_3 = m(x - x_3)[/tex]
[tex]y - 11 = \frac{3}{2}(x - 6)[/tex]
[tex]y - 11 = \frac{3}{2}x - 9[/tex]
Solve for y
[tex]y = \frac{3}{2}x - 9+11[/tex]
[tex]y = \frac{3}{2}x +2[/tex]
Using Geometric Mean, solve for x.
Answer:
x = 6 units
Step-by-step explanation:
By geometric mean property:
[tex]x = \sqrt{9 \times 4} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: units[/tex]
Simplify 12−3l+5(4−l)
Answer:
−8+32
Step-by-step explanation:
...................
Add the expressions: 9(20m - 5) + (m +7)
Answer:
181m - 38
Step-by-step explanation:
Hey there!
9(20m – 5) + (m + 7)
DISTRIBUTE
9(20m) + 9(–5) + m + 7
9(20m) + 9(–5)
9(20m) = 180m
9(–5) = -45
NEW EQUATION: 180 – 45 + m + 7
COMBINE your LIKE TERMS
(180m + m) + (–45 + 7)
“m” itself is understood as an invisible 1!
180m + m = 181m
–45 + 7 = –38
NEW EQUATION: 181m – 38
ANSWER: 181m – 38 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Solve for m 18m-13m=25 m=
Answer:
m=0
Step-by-step explanation:
Answer:
I think m=5
Step-by-step explanation:
Can you please help me with this question?
Answer:
A. 3
Step-by-step explanation:
since it is just reflected the length dosen't change
Given the sequence: 12,18,24,30,...
Fill in the boxes below to create the recursive formula.
__=___
___=___+___
Step-by-step explanation:
0+6=6
6+6=12
12+6=18
18+6=24
24+6=30
.....
any more help just ask :)
I need help I forgot how to this
AND THANK YOU
Answer:
x=-2
Step-by-step explanation:
same on both sides
Simplify the following.
-(3z)2
A. 6z
B. 9z2
C. -9z2
D. -6z2
E. 6z2
Answer:
-9x²
Step-by-Step explanation:
-(3x)²
In PEMDAS, we solve the exponent first then multiply.
-(3x)²
-(9x²)
-9x²
Do you guys get how to do this one if so please comment down the answer I would appreciate it if you help out!
Answer:
17
Step-by-step explanation:
81 - 8^2 =
8^2= 8 x 8 = 64
81-64 = 17
samantha works at a nursery, where she pots plants. it takes her 1 1/2 hours to pot 12 plants.
how many plants can samantha pot in 1 hour?
12 (operation i dont know) n = (the number of plants she can pot in 1 hour)
Answer:
She could plant 9 plants.
Step-by-step explanation:
1 1/2 hours = 90 minutes, so 12 plants per 90 minutes. Which would mean 6 plants per 45 minutes. So in between 45 and 90 minutes (1 hour), and in between 6 and 12 plants (9).
Sorry if you didn't understand, I'm bad at explaining.
The price of headphones at Store A is $89.25z This is 3/4 the price of the headphones at Store B
Answer:
Price at store B = $66.94
Step-by-step explanation:
Given:
Price of headphones at Store A = $89.25
Find:
Price at store B
Computation:
Price at store B = 3/4[Price of headphones at Store A]
Price at store B = 3/4[89.25
Price at store B = $66.94
PLEASE HELP 25 points
Answer:
d) m=1/2
Step-by-step explanation:
have you ever heard of the equation y=mx + b
the m is your slope
in your equation above the number with x is 1/2, so that is ur slope..
Hope this helps!! Pls mark me brainliest!!
How much sleep do high school students get on a typical school night? An interested studentdesigned a survey to find out. To make data collection easier, the student surveyed the first 30 studentsto arrive at school on a particular morning. These students reported an average of 7.2 hours of sleepon the previous night.
Answer:
The answer is below
Step-by-step explanation:
How much sleep do high school students get on a typical school night? An interested student designed a survey to find out. To make data collection easier, the student surveyed the first 100
students to arrive at school on a particular morning. These students reported an average of 7.2 hours of sleep on the previous night.
(a) What type of sample did the student obtain?
(b) Explain why this sampling method is biased. Is 7.2 hours probably higher or lower than the true average amount of sleep last night for all students at the school? Why?
Solution:
a) A voluntary response sample is a sample made up of volunteers. It samples more people who have strong opinions and sample people who have less opinion on the survey. It is biased.
Convenience sample is a type of sampling where the group of people are conveniently selected from a population. It is biased.
Since the first 30 students to arrive at school on a particular morning was used, this is convenience sampling since only the first 30 was conveniently selected.
b) This sampling method is biased because the first 30 students are those who would have woken up earlier while those who woke up late would not be sampled.
This means that the 7.2 hours is lower than the true average amount of sleep last night for all students at the school
The coordinates of points A and B are A (7, -2) and B (47, 68). Which are the coordinates of a point that partitions segment AB in a ratio of 1:4?
Step-by-step explanation:
The coordinates of the point is (15, 12).
Point dividing the line segment AB in the ratio of 1 : 4 will have the coordinates as (15, 12)
Coordinates of a point dividing a segment in two parts: If a point (h, k) divides a segment having extreme ends (x₁, y₁) and (x₂, y₂) in the ratio of m : n, coordinates of the point will be,
[tex]h=\frac{mx_2+nx_1}{m+n}[/tex], [tex]k=\frac{my_2+ny_1}{m+n}[/tex]
If a segment having extreme ends A(7, -2) and B(47, 68) is divided by a point P(h, k) in the ratio of 1 : 4
h = [tex]\frac{1(47)+4(7)}{1+4}[/tex]
h = 15
k = [tex]\frac{1(68)+4(-2)}{1+4}[/tex]
k = 12
Therefore, coordinates of the point dividing the segment AB in the ratio of 1 : 4 will be (15, 12).
Learn more about the ratios of a directed line segment here,
https://brainly.com/question/16452339?referrer=searchResults
6 - 6x = 7x - 9x - 22
What is the value of x ?
Answer:
x=7
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
6 - 6x = 7x - 9x - 22
combine like terms
6 - 6x = -2x - 22
+2x +2x
6 -4x = -22
-6 -6
-4x = -28
divide both sides by -4
x = 7
Hope this Helps!!!
I need help solving this
Answer:
x=10
y=25
Step-by-step explanation:
3x-10+5x+30+6x+20=180
14x+40=180
14x=180-40
14x=140
x=10
9x-10=4y-20
9(10)-10=4y-20
90-10=4y-20
80=4y-20
80+20=4y
100=4y
25=y
One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?
Answer:
pipe will empty the tank in 10.5 hours, working alone.
Step-by-step explanation:
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5*3.5*x = 1; hence x = 1%2F%287.5%2A3.5%29.
Then 2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
The faster pipe will empty the tank in 10.5 hours, working alone.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5×3.5×x = 1
7.5×3.5 x=1
Divide both sides by 7.5×3.5
x=1/ 7.5×3.5
2.5x=2.5/ 7.5×3.5
x=1/10.5
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
Hence, the faster pipe will empty the tank in 10.5 hours, working alone.
To learn more on Volume click:
https://brainly.com/question/13798973
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please help with this problem
help me with this and ill give you brainliest
Answer:
C
Step-by-step explanation:
Trust me on this one
A basketball player scored 288 points in 9 games. Use the unit rate to find how many points the player would score in 5 games.
Answer:
160 Points in 5 Games
Step-by-step explanation:
The given information will be used as the first ratio. 288 points / 9 games. To find out how many points this player would score in 5 games, we use another ratio with the unknown value, x. This would be x points / 5 games. Put the ratios equal to each other and cross multiply. You will get a final answer of 160.
If the product of the extremes is 8,then the geometric mean is
~2
~4
~2(square root sign)2
The geometric mean of two numbers is the square root of their product:
[tex]GM(a,b)=\sqrt{ab}[/tex]
So, if the product is 8, the geometric mean is [tex]\sqrt{8}=2\sqrt{2}[/tex]
Which value should she use for X? Round to the nearest hundredth.
0.09
0.20
0.25
0.30
Answer:
A
Step-by-step explanation:
Just took the Semester exam and had this question on it, I got it right
Answer:Person on top is wrong its
Step-by-step explanation:
D =0.30
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 312" by 514" on the drawing, how large is the bedroom?
A. 7 ft by 10.5 ft
B. 14 ft by 21 ft
C. 20 ft by 30 ft
D. 10 ft by 15 ft
Answer:
1248' x 2056' so I think you missed copying decimals but I would asume B
Step-by-step explanation:
312''x(1/(1/4''))=1248'
514''x(1'/(1/4''))=2056'
The dimensions in feet's are 1248' x 2048'.
We have architectural drawing scale - 1' = 1/4"
We have to convert the dimensions 312" by 514" into feet's.
What does the symbol - ' (prime) and '' (double prime) in measurement representsdouble prime (″) is symbol for inches.
single prime (') is a symbol for foot(singular)/ feet's (plural)
1 foot =12 inches.
According to the question -
1' = 1/4"
1 foot = 1/4'' inches
Then, 1 inches will have = [tex]\frac{1}{\frac{1}{4} }[/tex] = 4 feet's.
Therefore -
312" = 312 x 4' = 1248 feet's
514" = 512 x 4' = 2048 feet's
Hence, the dimensions in feet's are 1248' x 2048'.
To solve more questions on dimensions unit conversion, visit the link below -
https://brainly.com/question/4613077
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A 30-60-90 triangle has a hypotenuse that has a length of 18. Find it’s area
Answer:
4824
Step-by-step explanation:
Jane had 3/4 of a pound of blueberries. Jane let her friend Jack eat 1/2 of the blueberries. How many pounds of blueberries did Jack eat?
Answer:
Jack eat 3/8 pounds of the blueberries.
Step-by-step explanation:
Jane had 3/4 of a pound of blueberries.
Jack eat 1/2 of the blueberries.
How many pounds of blueberries did Jack eat?
= 1/2 of 3/4 pounds of blueberries
= 1/2 × 3/4
= (1*3) / (2*4)
= 3/8 pounds
Jack eat 3/8 pounds of the blueberries.
Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equation.
(2,-2) and (5,9)
Answer:
3y = 11x-16
Step-by-step explanation:
The general equation of a line that passes through two points can be written as;
y = mx + b
where m is slope and b is the y-intercept
Mathematically in this case;
m = (9-(-2)/(5-2) = 11/3
To write the equation, we use the one-point form
y-y1 = m(x-x1)
(x1,y1) = (2,-2)
y + 2 = 11/3(x-2)
y = 11x/3-22/3+ 2
y = 11x/3 -16/3
so;
3y = 11x - 16
(-2,5), (-1,8), (0,6), (1,6), (2,7) is function or not a function help
What is the unit rate if there are 132 miles driven using 6 gallons of gas?
A walking path at a park is 3/5 miles long. Paola walks on this path, completing each lap in 1/25 of an hour. What is Paola's running speed, including a unit of measure?
Answer:
15miles//hr
Step-by-step explanation:
From the question, we are given;
Distance covered by Paola = 3/5 miles
Time = 1/25 of an hour
Speed = Distance/ time
Substitute
Speed = (3/5)/(1/25)
Speed = 3/5 * 25/1
Speed = 3 * 5
Speed = 15
Hence Paola's running speed in miles per hour is 15miles/hr
According to the scale on a map, 1 inch on the map = 16 miles. How many inches on the map would represent 24 miles?
Answer:
1.5 inches
Step-by-step explanation:
1 inch = 16 miles
x = 24 miles
Cross multiply
16x = 24*1
Divide by 16
x = 24/16
x = 3/2 = 1.5