Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
Record the mass of the object based on the reading from the mass of the object is
the triple-beam balance
grams
Answer:
167
Step-by-step explanation:
Answer:
167
Step-by-step explanation:
A pitcher contains 19.25 cups of iced tea. You drink 1.25 cups of the tea each morning and 1.5 cups of the tea each evening. When will you run out of iced tea?
Answer:
Seven days
Step-by-step explanation:
From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:
1.25+1.5=2.75 cups a day
Now that you know the amount of cups that you drink in a day, you can divide the amount of cups in the pitcher by the amount of cups you drink in a day:
19.25/2.75= 7
According to this, the answer is that you will run out of iced tea after seven days.
what is the inverse of f={(1,3),(4,2),(5,1)}
Answer:
f={(3,1),(2,4),(1,5)}
What is the slope of a line passing through points (-7,5) and (5,-3)?
Answer:
- 2/3
Step-by-step explanation:
3m - 12 =18
Step by step
Answer:
3m=18+12
3m=30
divide both sides by 3
m=10
Answer:
m = 10
Step-by-step explanation:
3m - 12 =18
Add 12 to each side
3m - 12+12 =18+12
3m = 30
Divide by 3
3m/3 = 30/3
m = 10
X/5=15 Question 7 options: 20 3 75 10
Answer:
x = 75
Step-by-step explanation:
X/5=15
Multiply each side by 5
x/5 * 5 = 15*5
x = 75
Answer:
Step-by-step explanation:
15*5=75
therefore answer is x=75
the area of triangle LMN is 26 square units. the triangle is reflected across LM and then translated 3 units to the right and 4 units up. what is the area of the resulting triangle?
Answer:
26 square units
Step-by-step explanation:
Reflection and translation are rigid motions that do not affect the size or shape of the triangle. It has the same area as the original: 26 units².
show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.
Answer:
x³ + 9x² + 23x + 15
Step-by-step explanation:
Given
(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² + 4x + 3)(x + 5)
Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is
x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis
= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms
= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d
determine which of the following pairs of triangles are similar.
Triangles given in Options (b) and (c) are similar.
Theorems of similar triangles: If two angles of a pair of triangles are equal in measure, then the triangles will be similar by A-A property. If corresponding sides of two triangles are proportional, both the triangles will be similar.
From the picture attached,
a). In triangle ABC,
∠A + ∠B + ∠C = 180° [By triangle sum theorem]
60° + ∠B + 40° = 180°
∠B = 80°
Similarly, in ΔDEF,
∠D + ∠E + ∠F = 180°
60° + 85° + ∠F = 180°
∠F = 35°
Since, measure of angles of both the triangles are different in measures, triangles will not be similar.
b). In ΔABC,
∠A + ∠B + ∠C = 180°
45° + 50° + ∠B = 180°
∠B = 85°
In ΔDEF,
∠D + ∠E + ∠F = 180°
50° + 85° + ∠F = 180°
∠F = 45°
Hence, ∠C ≅ ∠D, ∠A≅ ∠F and ∠B ≅ ∠E
Since, measure of corresponding angles are equal, both the
triangles (ΔABC ~ ΔFED) will be similar.
c). Here, corresponding sides of both the triangles are proportional,
[tex]\frac{AB}{DE}= \frac{CA}{FD}= \frac{BC}{EF}[/tex]
[tex]\frac{14}{7}= \frac{12}{6}= \frac{16}{8}[/tex]
[tex]\frac{2}{1}= \frac{2}{1}= \frac{2}{1}[/tex]
Both the triangles ΔABC and ΔDEF will be similar.
Therefore, Option B and Option C are the correct options.
Learn more about the similarity of two triangles here,
https://brainly.com/question/2499350?referrer=searchResults
Find the value of x that makes m
m
n
(2x + 20)
(32°
Answer: x= 20
Step-by-step explanation:
If m and n are parallel then the 3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.
2x + 20 = 3x
-2x -2x
20 = 1x
x= 20
simplify the expression -4(x - 5)
Answer:
-4x+20
Step-by-step explanation:
[tex]-4(x - 5)\\\\=-4x-4(-5)\\\\=-4x+20[/tex]
2. It takes 39,090 gallons of water to manufacture a new car. Sammy thinks that rounds up to about 40,000
gallons. Susie thinks it is about 39,000 gallons. Who rounded to the nearest thousand, Sammy or Susie?
Use pictures, numbers, or words to explain.
Answer:
Susie rounded to the nearest thousandth.
Step-by-step explanation:
since the 100th place is 0 it would round down to 39,000 when you are rounding to the nearest thousand.
need help someone please
Answer:
52
Step-by-step explanation:
I'm pretty sure that it would be 52 mi because it is the same said that the angel ST is. Angels NM and ST are congruent. Therefore, the answer is 52 mi.
Combine like terms in the following equation:
18 – 5W + 7w - 4 = 28
Answer:
7
Step-by-step explanation:
Step 1:
18 - 5w + 7w - 4 = 28
Step 2:
14 + 2w = 28
Step 3:
2w = 14
Answer:
w = 7
Hope This Helps :)
This is my algebra I have a A+ but I wanna keep it up
Answer:
45 minutes
Step-by-step explanation:
We want to know how long it takes to an airplane to fly a distance of 375 miles, if the speed of the airplane is 500 miles per hour.
For this, we should divide the distance/speed to get the time that the plane needs.
T = 375mi/(500mi/h) = 0.75 hours
The plane needs 0.75 hours or 0.75*60 = 45 minutes to fly that distance.
what is (4x^2y^3)^2=
16x⁴y⁶
Step-by-step explanation:(4x²y³)² =
= 4²x²ˣ²y³ˣ²
= 16x⁴y⁶
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed on the yellow side 29 times. what is the relative frequency of the chip landing with the yellow side facing up?
38%
42%
56%
58%
Answer:
58 %
Step-by-step explanation:
Find the distance between the points (-6,-8) and (-2,0). The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex]4 \sqrt{5} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-6,-8) and (-2,0)
The distance between them is
[tex]d = \sqrt{ ({ - 6 + 2})^{2} + ({ - 8 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 8})^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} [/tex]
We have the final answer as
[tex]4 \sqrt{5} \: \: \: units[/tex]
Hope this helps you
When 19,346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number?
Answer
Hi mate,
Divided=divisor*quotient+remainder
19346=x*841+3
19346-3=841x
19343/841=x
x=23
Hope this helps u
Mark me as brainliest
Step-by-step explanation:
The United States Tennis Association is researching the effect of what color the professional tennis players wear and
the number of foot faults called on them in one match. They collect data from every televised event of the year, noting
the color of the player's clothes and how many foot faults were called on the player. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience sample
Answer:
the answer is observation study
Step-by-step explanation:
Work out 5
5-² x 3√8
Give your answer as a decimal.
Answer:
I got -11.97056 as the answer
Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?
Answer:
To solve for the problem above, let x be the regular price of the shoe.
1/2x is the one-half price of the shoe then we add 6 for the pair of socks,
1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.
Step-by-step explanation:
A file that is 242 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
4.1 megabytes
Step-by-step explanation:
well we use the rule of three
242 megabytes ------- 100%
x megabytes -------- 17.1%
(x megabytes)(100%)=(242 megabytes)(17.1%)
[tex]x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1[/tex]
so there have been downloaded 4.1 megabytes
QR has endpoints at Q(2,6) and R(0,2). Find the midpoint M of QR
Answer:
Step-by-step explanation:
Well, the midpoint formula is M=((x↓1 +x↓2)/2,(y↓1 +y↓2)/2 ). (not exponents, they tell you which x or y value).
If you plug in your 2 points, it becomes m=((2+0)/2,(6+2)/2).
When you add, it is m=(2/2, 8/2)
When simplified, it is m=(1,4)
The layer of the atmosphere that is least densely packed is
Answer:
mesosphere
The air in the mesosphere has extremely low density: 99.9 percent of the mass of the atmosphere is below the mesosphere. As a result, air pressure is very low.
Which statement is true regarding the functions on the graph?
PLEASE HELP ASAP!!!!!
Answer:
D
Step-by-step explanation:
INTERPRETING EXPRESSIONS:
ln the expression 9x - 9, the variable is ___
what number is 10 times less than 20?
Answer:
180
Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Answer:
The number is 27
Step-by-step explanation:
Let us change the word statement to an algebraic equation
→ Assume that the number is x
→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2
→ The algebraic expression is 2(x + 3)
→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3
→ The algebraic expression is 3(x - 7)
→ Equate the two expressions
∴ 2(x + 3) = 3(x - 7)
→ Simplify each side
∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6
∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21
∴ 2x + 6 = 3x - 21
Let us solve the equation to find x
→ Subtract 6 from both sides
∴ 2x + 6 - 6 = 3x -21 - 6
∴ 2x = 3x - 21
→ Subtract 3x from both sides
∴ 2x - 3x = 3x - 3x - 27
∴ -x = -27
→ Divide both sides by -1
∴ x = 27
The number is 27