A tree initially measured 38 1/2 feet tall. Over the next 5 1/2 years, it grew to a final height of 49 1/2 feet. During those 512 years, what was the average yearly growth rate of the height of the tree? (I NEED THE ANSWER ASAP IF YOU CANT ANSWER IT its fine:)
Answers
Answer:
2 feet per year
Step-by-step explanation:
Related Questions
How do you solve number 5?
Answers
Answer:
B
Step-by-step explanation:
To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%
60 * 125% = 75
So if 60 is 100%, then 75 is 25% more than 60.
Select all expressions that are equivalent 1/2 (4 +8x) =7
Answers
The equivalent expressions to 1/2(4 + 8x) = 17 are given as follows:
4 + 8x = 34.4x = 15.How to obtain the equivalent expressions?The expression for this problem is defined as follows:
1/2(4 + 8x) = 17.
On the left side of the equality, we have a multiplier of 1/2. To isolate the multiplier, both sides of the equality can be multiplied by 2, hence:
4 + 8x = 34.
(both sides were multiplied by 2, on the left side the 1/2 was canceled and on the right side 17 x 2 = 34).
Now, to solve the expression, we isolate the variable x, as follows:
8x = 34 - 4
8x = 30.
Both 30 and 8 are divisible by 2, hence the equality can be simplified dividing both sides by 2 as follows:
4x = 15.
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how do you solve these types of questions. they are so confusing
Answers
Answer:
Step-by-step explanation:???????????????????????????????????
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answers
5.5 units??????
please tell me if im right
Answer:
D
Step-by-step explanation:
Laura borrowed a total of $18,000 from two different banks to start a business. One bank charged the equivalent of 6% simple
Interest, and the other charged 7.5% interest. If the total interest after 3 years was $3330, determine the amount borrowed from
each bank.
Part: 0/4
Part 1 of 4
Let x represent the principal on the business loan at 6%.
Then,
is the remaining amount borrowed at 7.5%.
Answers
Step-by-step explanation:
Let x be the amount invested at 6% so that 18000-x is the amount invested at 7.5% both in dollars.
The total interest in 3 years is $3330 so we can write: 0.06x(3)+0.075(18000-x)(3)=3330
Solve for x:
0.06x(3)+0.075(18000−x)(3)=3330
Step 1: Simplify both sides of the equation.
0.06x(3)+0.075(18000−x)(3)=3330
0.06x(3)+−0.225x+4050=3330(Distribute)
0.18x+−0.225x+4050=3330
(0.18x+−0.225x)+(4050)=3330(Combine Like Terms)
−0.045x+4050=3330
−0.045x+4050=3330
Step 2: Subtract 4050 from both sides.
−0.045x+4050−4050=3330−4050
−0.045x=−720
Step 3: Divide both sides by -0.045.
−0.045x/−0.045=−720/−0.045
x=16000
x=16000
So, the amounts borrowed are:
Bank at 6% = 16000
Bank at 7.5% = 2000
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.
Answers
Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.
The height is modeled by:
\(h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}\)
The initial height is \(h(0) = 15\), hence, one turn is completed when h(t) = 15.
\(h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}\)
\(15 = 15\cos{\left(\frac{\pi}{20}t\right)}\)
\(\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}\)
\(\cos{\left(\frac{\pi}{20}t\right)} = 1\)
The length of one turn is of \(2\pi\), and \(\cos{(2\pi)} = 1\), hence, the solution is found according to:
\(\frac{\pi}{20}t = 2\pi\)
\(t = \frac{40\pi}{\pi}\)
\(t = 40\)
It takes 40 seconds to complete one turn.
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Answer:
D. 40 seconds!! Props to guy above.
If the volume of the crystal ball is about 113.14 cm3, the radius of the ball is approximately cm. (Use .) If the vacant space inside the box were filled with spray foam, the approximate volume of foam required would be cm3.
Answers
To find the radius of the crystal ball, we can use the formula for the volume of a sphere: V = (4/3) * π * r^3, where V is the volume and r is the radius.
Given that the volume of the crystal ball is 113.14 cm³, we can solve for r:
113.14 = (4/3) * π * r^3
To find the radius, we can rearrange the equation:
r^3 = (3/4) * (113.14 / π)
r = (3/4) * (113.14 / π)^(1/3)
Using a calculator, we can evaluate the expression to find the approximate value of the radius.
To find the volume of foam required to fill the vacant space inside the box, we need the volume of the box. However, the dimensions of the box are not provided in the question, so we cannot calculate the volume of foam accurately.
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in 1965, the mean price of a new car was $2650 and the standard deviation was $1000. in 2019, the mean was $36,700 and the standard deviation was $9000. if a ford mustang cost $2300 in 1965 and $34,000 in 2019, in which year was it more expensive relative to other cars?
Answers
The cars were more expensive in 2019
From given information,
Mean price of the car in 1965 = $2,650
Standard deviation, s = $1,000
Mean price of the car in 2019 = $36,700
Standard deviation in 2019, s = $9,000
Cost in 1965 = $2,300
Cost in 2019 = $34,000
Now, z score = [ X - mean ] ÷ s
So, In 1965
z score = [ $2,300 - $2,650] ÷ 1,000
= -0.35
In 2019,
z score = [ $34,000 - $36,700 ] ÷ 9,000
= -0.3
Since, the standard score in 2019 is higher than in 1965
So, the cars were more expensive in 2019
Therefore, the cars were more expensive in 2019
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-79 = 7x + 3(4x - 1)
Help
Answers
Answer:
x = - 4
Step-by-step explanation:
-79 = 7x + 3(4x - 1)
-79 = 7x + 12x - 3 Distribute 3 to the paranthesis
-79 = 19x - 3 Add like terms
-76 = 19x Add 3 to both sides
- 4 = x Divide 19 to both sides
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x
Answers
The correct answer is option A which is y = 25x + 100.
Given the following:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month
We need to write an equation for the cost (y) based on the number of months.
To solve the above problem, the answer is;a. y = 25x + 100
Explanation; Let's break down the problem
The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months
Therefore the correct answer is option A which is;y = 25x + 100.
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To join a local square dancing group,
Jan has to pay a $100 sign-up fee plus $25 per month.
The equation for the cost (y) based on the number of months is
y = 25x + 100,
where x is the number of months.
Option A is the correct equation for the cost based on the number of months.
Writing the equation:
y = 25x + 100
Where:
y = Cost based on the number of months
x = Number of months
Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:
$25 * 1 + $100 = $125
And if Jan has been a part of the group for 4 months, then the total cost would be:
$25 * 4 + $100 = $200
Therefore, option A is the correct answer.
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What is14 %600 of ?
Answers
Answer: 14% of 600 is 84
Step-by-step explanation:
Write 14% as 14/100
Since finding the fraction of a number is the same as multiplying the fraction with the number, we have
14/ 100 of 600 =
14/ 100 × 600
therefore the answer is 84
Answer:2.33333334
Step-by-step explanation:
it could be 84
Solve the given polynomial by factoring. Check all answers that are correct.
f(y) = 3y^3 + y^2 + 9y + 3
A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3
Answers
i need the profit maximizing price and OUTPUT PLS14. Profit For a monopolist's product, the demand function is p=50/√q= and the average-cost function is c = 1/4 + 2500/q Find the profit-maximizing price and output. noduce at most 120 units of a
Answers
if the monopolist can produce at most 120 units, they will produce 120 units and charge approximately $4.56 per unit.
To find the profit-maximizing price and output for a monopolist, we need to find the point where marginal revenue (MR) equals marginal cost (MC).
Given the demand function, we can derive the total revenue (TR) as follows:
TR = p * q
TR = (50/√q) * q
TR = 50√q
We can then derive the marginal revenue (MR) function by taking the derivative of TR with respect to q:
MR = dTR/dq = 25/√q
To find the marginal cost (MC) function, we can derive the total cost (TC) function as follows:
TC = VC + FC
VC = q * (1/4 + 2500/q) = 1/4*q + 2500
FC = 0
We can then derive the marginal cost (MC) function by taking the derivative of TC with respect to q:
MC = dTC/dq = 1/4 - 2500/q^2
Now, we can set MR equal to MC and solve for q:
MR = MC
25/√q = 1/4 - 2500/q^2
100 = √q - 625000/q^2
100q^2 = q^2 - 625000
q^2 = 625000/99
q ≈ 251.3
Note that since the demand function is p=50/√q, we can plug in q=251.3 to find the corresponding price:
p = 50/√q
p ≈ $3.16
Therefore, the profit-maximizing output is approximately 251 units, and the profit-maximizing price is approximately $3.16 per unit.
However, we also need to check whether this output level is feasible given the production constraint of producing at most 120 units. In this case, the monopolist will produce 120 units since this is the maximum amount they can produce, and the price will be determined by the demand function:
q = 120
p = 50/√q
p = 50/√120
p ≈ $4.56
Therefore, if the monopolist can produce at most 120 units, they will produce 120 units and charge approximately $4.56 per unit.
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A set of silverware originally cost 350.00. It now cost 450.00. What is the percent change and it need to be showed how to be done
Answers
Answer:
100.00 difference
Step-by-step explanation:
450.00-350.00=100.00
The percent should be 100
Find the HCF of 20,55,90
Pls help it is urgent if i dont get this answer i will fail
Answers
Answer:
Step-by-step explanation:
Factors of 20 = 1 2 4 5 10 20
Factors of 55 = 1 5 11 55
Factors of 90 = 1 2 3 5 6 9 10 15 18 30 45 90
Hcf = 5
Perform the indicated operations and find their corresponding domains. Give simplified answers in descending powers of x.
Answers
f + g = 2x + 6 with domain (-∞, ∞)
f - g = 2\(x^{2}\) + 2x -6 with domain (-∞, ∞)
f. g = - \(x^{4}\) -2\(x^{3}\) + 6\(x^{2}\) + 12x with domain (-∞, ∞)
A function is defined as a relation between a set of inputs having one output each. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given functions:
f(x) = \(x^{2}\) + 2x and g(x) = 6 - \(x^{2}\)
Adding both functions
f(x) + g(x) = \(x^{2}\) + 2x +6 - \(x^{2}\)
f+g = 2x + 6 with domain (-∞, ∞)
Now subtract f(x) - g(x)
f - g = \(x^{2}\) + 2x - ( 6 - x2 )
f - g = \(x^{2}\) +2x - 6 + x2
f - g = 2\(x^{2}\) + 2x -6 with domain (-∞, ∞)
Multiply both functions
f(x). g(x) = (\(x^{2}\) +2x)(6 - \(x^{2}\) )
= 6\(x^{2}\) - \(x^{4}\) + 12x - 2\(x^{3}\)
f. g = - \(x^{4}\) -2\(x^{3}\) + 6\(x^{2}\) + 12x with domain (-∞, ∞)
Therefore,
f +g = 2x + 6 with domain (-∞, ∞)
f - g = 2\(x^{2}\) + 2x -6 with domain (-∞, ∞)
f. g = - \(x^{4}\) -2\(x^{3}\) + 6\(x^{2}\) + 12x with domain (-∞, ∞)
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I WILL GIVE BRAINLIEST!! I WILL ALSO GIVE 20+ POINTS!! HELP ASAP, NO LINKS! <3
Tyrone's age is 2 years less than 4 times his younger sister's age. If his younger sister's age is b years, which of the following expressions best shows Tyrone's age?
A) 4b
B) b - 2
C) 2b - 4
D) 4b - 2
Answers
Answer:
D) 4b - 2 is the correct answer.
Step-by-step explanation:
2 years less than 4 times his younger sister's age
younger sister's age is b years
4b - 2
Have a nice day! :-)
In the square below, the diagonal AC is 12v2 inches Find the area of the shaded region and find the exact circumference of the inscribed © X.
Answers
AB = BC
\(\begin{gathered} (AC)^2=(AB)^2+(BC)^2 \\ (12\sqrt[]{2})^2=(BC)^2+(BC)^2 \end{gathered}\)\(\begin{gathered} 24=2(BC)^2 \\ \frac{24}{2^{}}=(BC)^2\text{ } \\ (BC)^2=12 \\ BC\text{ =}\sqrt[]{12} \\ BC\text{ = 2}\sqrt[]{3}\text{ inches} \end{gathered}\)Area of shaded part = Area of the square - the area of the circle
\(\begin{gathered} \text{Area of square = length x length} \\ \text{Area of square = 2}\sqrt[]{3}\times2\sqrt[]{3}=12inch^2 \end{gathered}\)\(\begin{gathered} \text{Area of circle = }\pi\text{ }\times r^2 \\ r=\text{ BC = 2}\sqrt[]{3}inches \\ \text{Area of circle= 3.14 }\times(2\sqrt[]{3)}^2=\text{ 37.68} \end{gathered}\)Area of shaded part = 37.68- 12 =25.68 square inche
\(\text{Circumference of a circle = 2}\times\pi\times r\)\(undefined\)
Use a number line to find eac
13
5-(-8)
Answers
The number line shows the value of 5 - (-8) = 13.
What is a number line?A number line is a pictorial representation of integers on a straight line.This helps in performing many arithmetic operations.It consists of '0' in the middle i.e., zero is neither a positive nor a negative integer and it is taken as a reference point.It consists of positive integers(greater than zero) on the right side of '0'.It consists of negative integers(less than zero) on the left side of '0'.How to represent arithmetic operations on a number line?Addition:
If the addend is positive then move to the right side on the number lineIf the addend is negative then move to the left side on the number line.Subtraction:
If the subtrahend is positive then move to the left side on the number lineIf the subtrahend is negative then move to the right side on the number line.Representing the subtraction 5 - (-8) on a number line:Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.
Step1: Start from '5' on the number line.
Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.
Step3: Thus, the number obtained on the line is 13.
Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.
The number line for this operation is shown below.
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I know life can get hard but don't give up no matter what happens, because you never get anything out of quitting, but you get the most if you keep trying, and trying.
This is what you don't do
Don't let this world make you bitter. Don't let the actions of other people turn you cold on the inside. Certain things happen that hurt us, people come that leave us, and most of all there are moments when you're bound to fall. Don't let those things make you unkind. It's okay to cry. It's okay to be sad. But it's never okay to do other people wrong just because you were done wrong. We're human. We break. We make mistakes. But don't let pain and sadness run your lives. Wake up in the morning and do what you think is right. There are moments in your life where you feel like giving up and you can't take it anymore. It's okay. Breathe. Inhale. Exhale. I know you're weak. But the things that show your weak side are also the same ones that make you stronger in the long run. It's all about taking whatever life throws at you and learning from it.
Hope you like it. Have a great day.
Answers
Answer: Nice words my guy
Step-by-step explanation:
Answer:
Ty this is soo inspiring!!
Step-by-step explanation:
Life is all about going through upward and all in to pursue our dreams. Don’t let any kind of obstacle and failure pin you down or push you against your success of life. Fight hard the battle of life and take the challenges with courage, determination, and perseverance. Just keep moving forward with hope and this day is not so far when life will put the crown on your head as a successful human being. Here we offering some of the best inspirational messages about life and good thoughts from various reliable sources that will be your best supporter to pursue your dreams of life. Life is short, live it. Love is rare, grab it. Anger is bad, dump it. Fear is awful, face it. Memories are sweet, cherish it!
When life seems unbearable, hold on. Because you have not yet seen the next page of the book of life. It is full of unknown mysteries, suspense, adventures and unachieved success.
Life asked with Death: Why people love me and hate you, “Death said you are a beautiful lie and I’m a painful truth. Happiness of life lies within yourself. As long as you feel you are content, you are happy.
In life happiness is a matter of perception. Some choose to stay unhappy about having everything. And some choose to stay happy with the little things he has.
The moment you seize worrying, the moment you will feel happy. It’s all about your choice.
An advertising banner has four sections.two sections are congruent trapezoids with the bases as 1.75 and 2 with a height of 1,and two sections are congruent triangles with a width of 1.75 and a height of 1.25.
Answers
A measurement that is the best estimate of the area of the banner in square meters include the following: A. 6 m².
How to calculate the area of a trapezoid?In Mathematics and Geometry, the area of a trapezoid can be calculated by using this mathematical equation (formula):
Area of trapezoid, A = ½ × (a + b) × h
Where:
a and b represent the base areas of a trapezoid.h represent the height of a trapezoid.Based on the information provided about the two congruent trapezoid, we can logically deduce that they both have the same base area of 1 m.
This Means the total base of the entire triangle will be;
Base area = 1 + 1 ¾ + 1 + 1 ¾
Base area = 1 + 1.75 + 1 + 1.75
Base area = 5.5 m
Height of main triangle = 2 m
Area of banner = ½ × 5.5 × 2 = 5.5 ≈ 6.0 m²
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Complete Question:
An advertising banner has four sections, as modeled below. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?
6 m²
15 m²
8 m²
10 m²
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
Answers
help pleasejhdfjg THIS ASSIGNMENT IS LIKE 2 WEEKS OVERDUE
Answers
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.
What is an area model?An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.
a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.
b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.
2x⁴ − 3x³ − 2x² − 4x − 1
+---------------------------------------
x | 2x⁵ -3x⁴ -2x³ -4x² -x
|
3 | 6x⁴ -9x³ -6x² -12x -3
+---------------------------------------
c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.
x + 8 x - 5
+--------------------
x | x² + 8x x² - 5x
|
-5 | -5x + -40 -5x + 25
+--------------------
The final total area can be found by adding up the areas of the smaller rectangles:
Total area = x² + 8x + x² - 5x - 5x - 40 + 25
= 2x² - 10x - 15
= 2x² - 10x - 15.
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Suppose you want to construct a 90% confidence interval for the average speed that cars travel on the highway. You want a margin of error of no more than plus or minus 0.5 mph and know that the standard deviation is 7 mph. At least how many cars must you clock?
Answers
To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.
Step 1: Identify the critical value (z-score) for a 90% confidence interval. This can be found in a standard z-table or using a calculator. The critical value for a 90% confidence interval is 1.645.
Step 2: Use the margin of error (E) formula to calculate the sample size (n):
E = (z * σ) / √n
Where E is the margin of error (0.5 mph), z is the critical value (1.645), σ is the standard deviation (7 mph), and n is the sample size.
Step 3: Rearrange the formula to solve for n:
n = (z * σ / E)^2
Step 4: Plug in the values and calculate the sample size:
n = (1.645 * 7 / 0.5)^2
n ≈ 338.89
Since the sample size must be a whole number, round up to the nearest whole number.
To construct a 90% confidence interval for the average speed of cars on the highway with a margin of error no more than ±0.5 mph and a standard deviation of 7 mph, you must clock at least 339 cars.
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Which is an example of a line segment? the edge of a book the corner of a box a beam of light the floor of a classroom
Answers
(D) the floor of a classroom is a perfect example of a line segment.
What do we mean by line segment?A line segment is a section of a straight line that is constrained by two distinct end points and contains every peak on the line between them. The Euclidean distance between the endpoints of a line segment determines its length. A closed line segment contains both endpoints, whereas an open line segment does not; a half-open line segment contains only one endpoint. In real life, a line segment can be represented by a ruler, a pencil, or a stick. The sun's rays are an illustration of a ray. The sun is the origin of the sun's rays, but there is no endpoint. A line segment is a perfect example of a classroom floor.Therefore, (D) the floor of a classroom is a perfect example of a line segment.
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The correct form of the question is given below;
Which is an example of a line segment?
(A) the edge of a book
(B) the corner of a box
(C) a beam of light
(D) the floor of a classroom
I will mark you brainlist!
Answers
Answer:
1. 2 runners
2. 25 runners
3. 24%
4. 15 runners
5. 60%
6. uh I think it's asking the same thing as 3, so 24%?
Expand.
Your answer should be a polynomial in standard form.
(x - 2) (x – 6) =
Answers
Answer:
\(x^{2} -8x+12\)
Step-by-step explanation:
im pretty sure its this smack me if im wrong
Give an example of a pair of negative numbers, x and y, such that
(a) the sum of x and y is -63,
(b) the difference between x and y is -36.
Answers
Answer:
x= -49.5
y= -13.5
Step-by-step explanation:
-x-y= -63
-x+y=-36
y=-13.5
x=-49.5
hope this helps!
The order in which conditions are combined does not matter in a _____.
permutation
combination
sequence
series
Answers
Answer:
combination!!
Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1.5% of the dollar amount of all sales that he makes. Write an equation for P, in terms of x, representing Cooper's total pay on a day on which he sells x dollars worth of computers.
Answers
Answer: p= 1.25x + 70