The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %.
How to compare rotations between two wheels of different diameter
The quantity of rotations (n), no unit, done by a wheel is equal by total traveled distance (s), in inches, divided by its circumference (p), in inches:
[tex]n = \frac{s}{p}[/tex]
[tex]n = \frac{s}{\pi\cdot D}[/tex] (1)
Where D is the diameter of the wheel, in inches.
If we know that n = 651 and D = 31 in, then the travelled distance is:
s = (651) · π · (31 in) (2)
s ≈ 63400.481 in
The travelled distance of the 31-in diameter wheel with 651 rotations is approximately 63400.481 inches.
By (2) we understand that the travelled distance is directly proportional to the diameter. Hence, if the diameter of the wheel is increased by 20 %, then we must multiply the diameter by 1.2 and divide the travelled distance by this result:
s ≈ 1.2 · π · (31 in)
s ≈ 116.867 in
[tex]n = \frac{63400.481\,in}{116.867\,in}[/tex]
[tex]n = 542.501[/tex]
The number of rotations is reduced to 542.501 when the diameter of wheel is increased by 20 %. [tex]\blacksquare[/tex]
To learn more on circumferences, we kindly invite to check this verified question: https://brainly.com/question/4268218
Boyce invested an average of $450 per month since age 34 in various securities for his retirement savings. His investments averaged a 4% annual rate of return until he retired at age 63. Given the same monthly investment and rate of return, how much more would Boyce have in his retirement savings had he started investing at age 20? Assume monthly compounding.
a $113,320. 00
b $321,946. 93
c $78,624. 00
d $224,749. 27
If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.
How much more would Boyce have?First convert the interest to a monthly rate:
= 4% / 12 months
= 1 / 3 %
Period:
= (63 - 34) x 12 months a year
= 348 months
Amount saved:
= Amount x ( (1 + rate) ^ number of periods - 1) / rate
= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%
= $294,811.07
If he started saving at 20, the number of periods would be:
= (63 - 20) x 12
= 516 months
Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%
= $616,758
The difference is:
= 616,758 - 294,811.07
= $321,946.93
Find out more on future value savings at https://brainly.com/question/26662056.
67 x=?
Please help!
How many degrees Fahrenheit is -3°C? Help please
Answer:
26.6 degrees
Step-by-step explanation:
Formula
(°C × 1.8) + 32 = °F
(-3°C × 9/5) + 32 = 26.6°F
26.6
To convert temperature readings from celsius scale, formula used is -
[tex]\green{ \underline { \boxed{ \sf{F = \frac{9}{5}C +32 }}}}[/tex]
where
F = temperature in FahrenheitC = temperature in CelsiusPutting Values -
[tex]\begin{gathered}\\\implies\quad \sf F = \frac{9}{5}\times(-3) + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf -\frac{27}{5} + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf -5.4 + 32 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 26.6\degree F \\\end{gathered} [/tex]
Therefore, 26.6⁰ Fahrenheit is equivalent to -3⁰C.
Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A?
Enter your answer in the box. C is labeled 74
Answer:
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 10 inches, a width of 5 inches, and a height of 8 inches?
Answer:
400 in.
Step-by-step explanation:
V= l x w x h
V=10 x 5 x 8 =400 in.
Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103
Answer:
4.245 x 10^4
Step-by-step explanation:
10^4 = 10,000
10^3 = 1,000
4.235 * 10,000 = 42,350
7.152 * 1,000 = 7,152
Writing an equation in slope-intercept form given
A line passes through the point (-1, 8) and has a slope of -9.
Write an equation in slope-intercept form for this line.
Answer:
y = -9x - 1
Step-by-step explanation:
Step 1:
y = 8, x = -1
By putting the above values in equation (i)
8 = -9 (-1) + b
8 = 9 + b
-1 = b
b = -1
y = -9x - 1
The area of a circle is 9 ft. What is the circumference, in feet?
Answer:
Circumference: 10.63
Hope this helps.
Which answer choice correctly represents 0.513333… ?
80 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Place a point at the point of intersection of the three medians. Now change the positions of vertices A, B, and C, and observe how the medians change. Is there any change in the way the medians intersect?
Answer:
was there a table diagram or anything or you only got the question like that?
Answer:
No, the medians continue to intersect at a single point.
Step-by-step explanation:
Plato
Tanslate the sentence into an equation
The sum of 4 times a number and 8 is 5.
Use the variable for the unknown number
Answer:
4x+8 =5
Step-by-step explanation:
sum = +
times = Multiply
is = =
4*x +8 = 5
Answer:
4x+8=5
Step-by-step explanation:
Let's assume the number is x
Four times x plus 8 is 5
4x+8=5
***Optional
If you need to solve it...
4x+8=5
4x=-3
x= - [tex]\frac{3}{4}[/tex]
Hope this helps! :D
A net of a building block is shown below. What is the total surface area of the building block? *
Answer:
where
Step-by-step explanation:
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
Answer:
x=52°
Step-by-step explanation:
because of the vertical angles theorem
Answer:
x=52°
Step-by-step explanation:
the vertical angles theorem
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for[tex]\pi[/tex], and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
1046.9
Step-by-step explanation:
The formula for calculating volume of a sphere is the following:
4/3·π·r³
The question asks for you to substitute 3.14 instead of using the exact number π.
∴V=4/3·3.14·6.3^3
V=1046.86344
Now round your answer to the nearest tenth:
1046.86344 -->1046.9
∴V=1046.9
The reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes. what is the critical value for z for a hypothesis test using a 5% significance level? z* =
The critical value for z for a hypothesis test using a 5% significance level is 1.65
It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.
It is required to find the critical value for z for a hypothesis test using a 5% significance level.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
We have a hypothesis H1 that wait time is actually greater than 60 minutes.
H1(T>60)
This is the case of the right-tailed hypothesis.
We have a significance level = 5% ⇒ 0.05
The statistics follow a normal distribution curve
Critical value = 1.6449 ≈ 1.65 (from the table at 5% significance level)
Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65
Know more about the normal distribution here:
brainly.com/question/12421652
HelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelp
Brainliest pls
Answer: 79
Step-by-step explanation:
how do you recognize an exponential equation
if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.
A gold bar is similar in shape to a rectangular prism. A gold bar is approximately in. In. In. If the value of gold is per ounce, about how much is one gold bar worth? Use the formula w11. 15n, where w is the weight in ounces and nvolume in cubic inches, to find the weight in ounces. Explain how you found your answer
Answer:
I thnk the answer is in the next question go do that then
Step-by-step explanation:
then come back and figure it out
Round decimal numbers to the nearest tenth, hundredth, or whole number,
What comes next:
a) 0.35, 0.36, 0.37, …
b) 1.277, 1.278, 1.279, …
c) 6.96, 6.97, 6.98, …
Answer:
C
Step-by-step explanation:
because the nearest is to ones tenth hundred thousand
I don’t understand this subject at all if you wold answer that would be a big help
Answer:
d= 8.6 ft
Step-by-step explanation:
In similar triangles, the corresponding sides are in proportion.
[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]
To find the value of x,
[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]
d = 8.6 ft
Can someone please help me with this questions thank you !!
Step-by-step explanation:
count the number of boxes
please help!!! I will make you brainliest I need this and I also don't understand
What are the solutions of x^2 + 6 x - 6 = 10?
Answer:
X= 2
X= -8
Hope this helps :)
Answer:
x=2 and x=-8
Step-by-step explanation:
First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.
Resuelva los siguientes sistemas de ecuaciones 3x+2y₌75x–2y₌1
1)
[tex]x = 25 - \frac{2}{3} y[/tex]
[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]
2)
[tex]x = 1 + 2y[/tex]
[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]
Suppose the graph represents the plans for a fence that Tara is
building for a new city dog park. Each unit on the graph represents
12 yards. After studying the plans, Tara decides to build a fence that
encloses a smaller area. If Tara dilates Rectangle ABCD by a scale
factor of 0.75, and fencing costs $6.39 per yard, how much will she
spend on fencing?
The scale factor of 0.75 would ensure that the new fence has a smaller area
The total cost of fencing the smaller area is $1610.28
How to determine the fencing cost?From the complete question, we have the following parameters:
Number of units on the smaller area, k = 12Scale factor = 0.75Unit cost = $6.39 per yardPerimeter, P = 28 yardsStart by calculating the perimeter of the smaller area using:
Smaller Area = Perimeter * Scale factor * k
Where k represents the number of units on the smaller area
So, we have:
Smaller Area = 28 yards * 0.75 * 12
Evaluate the product
Smaller Area = 252 yards
The total cost is then calculated as:
Total cost = Unit cost * Smaller Area
This gives
Total cost = 6.39 * 252
Total cost = $1610.28
Hence, the total cost of fencing is $1610.28
Read more about scale factors at:
https://brainly.com/question/3457976
Which expression has a value of -22?
−5 × 2 − 12
8 − (−3) +33 ÷ (−3)
−3 + (−2) − (−8) −1
−6 × 2 − (−15)
Answer:
(-5)*2 - 12
Step-by-step explanation:
First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .
If two integers have same sign, add and the result will have the sign of the both integers.
(-5)*2 - 12 = -10 - 12
= -22
The first four terms of an arithmetic sequence are 7, 14, 21, 28... Calculate the sum of the first 50 terms.
Step-by-step explanation:
a = 7
d = 14-7 = 7
s(50) = n/2*[a+(n-1)*d]
= 50/2*[7+(50-1)*7]
= 8750
write a function that represents the number of emergency responses professionals in the town in terms of the towns total population
The exponential growth function will be: y = 4000(1 + 0.04)⁴
How to solve Exponential growth unctions?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
We are given;,
Initial population = 4000
Rate of increase = 4%
Let current population be p.
Let number of years passed be t.
Thus, the exponential growth function will be:
y = 4000(1 + 0.04)⁴
Complete question is;
A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.
Read more about Exponential Growth Functions at; https://brainly.com/question/27161222
#SPJ1
Answer:
number of emergency response professionals = 3% of population
e = 0.03p
e is a function of p
e(p) = 0.03p
Step-by-step explanation:
edumentum
Hunter has a collection of 140 coins. How many coins represent 5% of his collection? Divide/scale down to solve for the missing percent.
Answer:
5% of his coins is 7
Step-by-step explanation:
140 X 0.05 = 7
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?
A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answer:
C:) Sarah
Step-by-step explanation:
Sarah paid $3.84 for 32 ounces of carrots.
32 ounces = $3.84
1 ounce = x
Cross Multiply
x = $3.84/32
x = $0.12
For Sue
Sue paid $5.20 for 40 ounces of carrots.
40 ounces = $5.20
1 ounce = x
Cross Multiply
x = $5.20/40
x = $0.13
Who paid less per ounce?
Sarah paid less per ounce