During the first few years of a tree's life, its growth rate is linear. For example, an oak tree grows at a rate of 1.5 feet per year for the first twelve years. Mostafa plants a maple tree in his backyard and measures its height at 4 feet. Two years later, Mostafa measures the tree again and finds that its height is now 6.5 feet. Which statement is correct given this information?
Answer:
Mostafa's maple tree grows at a slower yearly rate than an oak tree.
Step-by-step explanation:
Given that:
An oak tree grows at a rate of 1.5 feet per year for twelve years;
After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.
Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.
i.e x years = 4 ft
two years later ; it height is now 6.5 ft
thus;
x year = 4 ft
x + 2 = 6.5 ft
[tex]6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2[/tex]
Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of 3.2
So;
if 3.2 year = 4 ft
1 year = x
x = [tex]\dfrac{4 *1 }{3.2}[/tex]
x = 1.25 ft
So if an oak tree grows at the rate of 1.5 ft in a year.
Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.
From the given information in the diagram attached below; we can infer that :
Mostafa's maple tree grows at a slower yearly rate than an oak tree.
what is t if 5/7t = 15
Answer:
21
Step-by-step explanation:
15/ 5/7 = 21
A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.
8
4
2
[tex]2\sqrt{2}[/tex]
Answer:
2√2
Step-by-step explanation:
r(t) = (2t, t²)
v(t) = dr/dt
v(t) = (2, 2t)
v(1) = (2, 2)
|v(1)| = √(2² + 2²)
|v(1)| = 2√2
whta is the first quartile
Answer:
First quartile: the lowest 25% of numbers.
Step-by-step explanation:
you're welcome.
Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet
Answer:
1 hour
Step-by-step explanation:
***Please Help ASAP***
The mean life of a Brand Q car battery is 36 months. The standard deviation is 4 months.
68% of all batteries will have a life between _____ months and _____ months.
95% of all batteries will have a life between _____ months and _____ months.
Answer:
Step-by-step explanation:
Let x be a random variable representing the life of a Brand Q car battery. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 36 months
Standard deviation = 4 months
Therefore,
1) 68% of all batteries will have a life between 36 - 4 = 32 months and 36 + 4 = 40 months.
2) 95% of all batteries will have a life between 36 - 2(4) = 28 months and 36 + 2(4) = 44 months.
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply. 3 c + StartFraction 4 Over 5 EndFraction + one-half 1 + 2 + 3c + 4 +5 StartFraction 4 Over 5 EndFraction + one-half + 3 c 2 + 3c + 4 One-half + StartFraction 4 Over 5 EndFraction + 3 c
Question:
Which expressions are equivalent to ½ + 3c + ⅘.
Check all that apply.
Answer:
½ + 3c + ⅘ is equivalent to
1. ⅒(30c + 13)
2. 3c + 13/10
Step-by-step explanation:
The options are not well presented.
However, I'll give simplify the given expression in the question above.
Given: ½ + 3c + ⅘.
Required: Simplify
We start by collecting like terms
3c + ½ + ⅘
From this point, the expression can be solved in two ways
1. Solve fractions
This gives [Find LCM]
3c + (5 + 8)/10
3c + 13/10
3c + ⅒(13)
This can still be solved further [Find LCM]
(30c + 13)/10
⅒(30c + 13)
Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.
2. Convert fractions to decimal
½ + 3c + ⅘ becomes
0.5 + 3c + 0.8
Collect like terms
3c + 0.5 + 0.8
3c + 1.3
Convert decimal to fraction
3c + 13/10
3c + ⅒(13)
This can still be solved further [Find LCM]
(30c + 13)/10
⅒(30c + 13)
Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.
This is as far as the expression can be evaluated
Answer:
1,3.and 5
Step-by-step explanation:
To divide two powers with the same base, (fill the blank)
the exponents.
A moving company wants to buy a new type of truck and needs to know the volume of the storage compartment before they can decide if they should purchase the truck. What is the volume of the storage compartment?
Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14
Answer:
x = 3, y = 2
Step-by-step explanation:
~ Through process of elimination ~
1. - 8x + 2y = -20
+ 8x - 5y = 14
2. Simplify to solve for y through simple algebra:
2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2
3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:
- 8x + 2 ( 2 ) = -20 ⇒
-8x + 4 = -20 ⇒
-8x = -24 ⇒
x = 3
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
A
Step-by-step explanation:
We are looking for 2 numbers with a product of -35 and a sum of -2. These are -7 and 5, so the factored version would be (w + 5)(w - 7), or A.
How to solve this question
Answer:
3 hours
Step-by-step explanation:
let h be the hours of tuition, then
11h + 8.5 ← models the cost of Leda's tuition
10.5h + 10 ← models the cost of Thanh's tuition
Equate the 2 and solve for h
11h + 8.5 = 10.5h + 10 ( subtract 10.5h from both sides )
0.5h + 8.5 = 10 ( subtract 8.5 from both sides )
0.5h = 1.5 ( divide both sides by 0.5 )
h = 3
Thus after 3 hours the price would be the same for both instructors
Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?
Answer:
She would earn 728 $ in commission
Step-by-step explanation:
How do you round 109.3034
Answer:Rounding a number is when you take a number and "bump it up" or "bump it down" to a nearby and "cleaner" number. A number can be rounded to any place value you want. If you type in a number you wish to round below, and select what place value you want to round it to, this selection will show you how to round it!
Step-by-step explanation:
Please Help me now plz
Answer:
On the circle
Step-by-step explanation:
The distance between D and G is:
[tex]\sqrt{(-1-(-10))^2+(3-1)^2}=\sqrt{9^2+2^2}=\sqrt{81+5}=\sqrt{86}[/tex]
If point J is not exactly this far, then it is not on the circle.
[tex]\sqrt{(-1-(-3))^2+(12-3)^2}=\sqrt{2^2+9^2}=\sqrt{5+81}=\sqrt{86}[/tex]
Therefore, it is on the circle. Hope this helps!
The mean age of 5 people in a room is 37 years.
A person enters the room.
The mean age is now 38.
What is the age of the person who entered the room?
my hegarty work lol im 2 lazy 2 answer
Answer:39?
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
+ Total age of 5 people: 37 x5 = 185
+ Total age of 6 people (when 1 person enters the room): 38 x 6 = 228
+ The age of the person who enter the room is: 228 - 185 = 43 age
Find the distance between
(-1, - 3) and (8, – 3).
Answer: d (A,B) = 9
Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2
d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2
d(A,B) = √81 + 0
d(A,B) = 9
How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign.
Answer:
d
Step-by-step explanation:
I took the test
If you are good at 9th grade math tell me and send me your number so we can text I really need a tutor or just help please
Answer:
I'm super sorry that i can't help but if i could get you to my brother and ask him for his number i bet he'll be able to help. ;) and if u r a girl he's pretty desperate for a girlfriend so ..... yeah
Step-by-step explanation:
hope this helps and also hope my brother can help byyyyyeeeee
Kendra made a scaled copy of the following square. She used a scale factor less than 111. What could be the side length of the scaled copy of the square.
Answer:
B,C,E
Step-by-step explanation:
khan academy
Side length of the scaled copy of square is smaller than original.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given,
Scale factor of scaled copy of square is less than 1.
Scale factor basically defines the ratio between the sides of the constructed square to that of the original square.
if scale factor is less than 1 then the sides of the constructed square is smaller than that of the original square.
Hence, side length of constructed square is smaller than the original square.
Learn more about scale factor here:
https://brainly.com/question/30215119
#SPJ2
Can someone pls help me ASAP!
Answer:
what type of math is it?
Step-by-step explanation:
Answer:
y=x-2
Step-by-step explanation:
the equation for slope intercept is y=mx+b, where m is the slope and b is the y intercept. The y intercept is -2, (where the line comes in contact with the x axis) and the slope is determined from the equation y2-y1/x2-x1 (rise over run) With this, we can see the slope is 1. hope this helps
If t = 24 cm and r = 25 cm, what is the length of s?
Answer:
24.5
Step-by-step explanation:
middle
Answer:
7cm
Step-by-step explanation:
Find the volume of the figure
Answer:
You would do length x width x hight so it would be and don’t forget to add the inches
14x17.5x6.4= 1641.5in
Chitra is buying a TV. At A-Mart, the TV is on sale for $199, with 7%
sales tax. At B-Mart the TV is $299, but has a $100 mail-in rebate.
Sales tax of 7% is based on the full price. After the rebate, which is the
better deal?
5 point pls help
the best would be the first choice because it's 7 dollars less than the second choice
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Answer:
66?lol
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
hope this helped i had this same question and i answered it
The number of goldfish in a tank is 19, and the volume of the tank is 52 cubic feet. What is the density of the tank?
Answer:
0.37 goldfish per cubic feet
Step-by-step explanation:
Density has the formula = number/volume
Density = 19/52 = 0.36538 which is rounded to 0.37
Answer:
0.37 goldfish / cu ft. (to the nearest hundredth).
Step-by-step explanation:
Density = number of goldfish / volume of the tank.
That is 19 / 52
= 0.37 goldfish / cu ft.
What is 1/2 + 3/4?
I'll give Brainliest to whoever get's it right the first time!
Answer:
5/4=1 1/4
Step-by-step explanation:
you have to turn the bottom number the same as the other one by multiplying it by 2,you have to do the for the top and it together to get your answer
Answer:
1 1/4
Step-by-step explanation:
1/2 + 2/4. 2/4 + 3/4 = 5/4 = 1 1/4
A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth
Answer:
100
100
Step-by-step explanation:
1 person to 100 people
The scale factor is 100
The paper fits 1 muffin
now it will have to a muffin 100 times bigger
100 is the scale factor
A triangle is formed with side lengths of 24 centimeters, 26 centimeters, and 10 centimeters. Is the triangle a right triangle? A) The triangle is a right triangle because 24^2+10^2=26^2. B) The triangle is a right triangle because 2(24)+2(26)=2(10) C) The triangle is not a right triangle because 10^2+26^2=24^2. D) The triangle is not a right triangle because 24^2-26^2=10^2
Answer:
A)
Step-by-step explanation:
676=676
Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answer:
a,b, and e
Step-by-step explanation:
i did the lesson on edge2020
