Answer:
1
Step-by-step explanation:
I think the answer is one
A lawnmower blade has a diameter of 36 inches and spins at a rate of 60 revolutions per minute. What is the linear velocity, in inches per minute, at the end of the blade?.
You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.
The linear velocity at the end of the blade is 13571.7 inches per minute
How to find the linear velocity of the lawnmower blade?You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.
The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.
Since the blade is 36 inches long, it can be taken as radius of that circle.
The circumference is thus calculated as [tex]2 \times \pi \times 36 = 226.19 \: \rm inches[/tex]
Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute
Thus,
The linear velocity at the end of the blade is 13571.7 inches per minute
Learn more about linear velocity here:
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Answer:
i think its D or 4,320pi
Step-by-step explanation:
just divided the previous persons answer by pi and its d on edge 2022.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
Answer:
it is angles x and p because of you rotate triangle wzx around you can see that angle x corresponds with angle p
The price of AirPod pros was reduced from $200 to $160 for Christmas by what percentage was the price of the AirPod pros reduced
Reduced by 20% due to the fact that $40 dollars was removed which is 20% of 200.
How to find: 40/200x100
Hopefully this helps you
Will mark brainlist if right
Answer: C.
Step-by-step explanation:
The pair of values below is from an inverse variation. Find the missing value.(6,10) (8 y)
[tex]\qquad \qquad \textit{inverse proportional variation}\\\\\textit{\underline{y} varies inversely with \underline{x}}~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill }\\\\\textit{\underline{x} varies inversely with }\underline{z^5}~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill }\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{\underline{y} varies inversely with \underline{x}}}{y=\cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} x=6\\ y=10 \end{cases}\implies 10=\cfrac{k}{6} \\\\\\ 60=k\qquad therefore\qquad \boxed{y=\cfrac{60}{x}} \\\\\\ \textit{when x = 8, what is "y"?}\qquad y=\cfrac{60}{8}\implies y=\cfrac{15}{2}[/tex]
What is the solution to the following system of equations?
x - y = 4
y = x - 4
Answer:
infinite number of solutions
Step-by-step explanation:
we can use the substitution method because the second equation is already solved for 'y'
we can substitute 'x-4' for the 'y' in the first equation to get:
x - (x-4) = 4
x-x+4 = 4
x-x = 0
what 'x-x=0' indicates is that there are an infinite number of values that would be solutions
Check:
if we solve the first equation for 'y' we get:
-y = -x + 4
divide all terms by -1 to get:
y = x - 4 which matches the other equation which means this two equations are equal and will create only one line
Anyone Please helppp meee
Answer:
fred had 58 marbles
Step-by-step explanation:
peter= x marbles
Fred= x²-6
together= 66 marbles
(x²-6) +x=66
x=8
Fred had 58 marbles
help im in k12 9th grade
Factor
x2+7x+10
Question 2 options:
(x+1)(x+10)
(x+3)(x+4)
(x−2)(x−5)
(x+2)(x+5)
When factoring find 2 numbers that when added together equal the middle value and when multiplied equal the last value.
min this problem the middle value is 7 and the last value is 10
5 + 2 = 7 and 5 x 2 = 10
The answer is: (x+2)(x+5)
Answer:
(x+2)(x+5)Step-by-step explanation:
Factoring x^2+7x+10 The first term is, x^2 its coefficient is 1 .The middle term is, +7x its coefficient is 7 .The last term, "the constant", is +10 Step-1 : Multiply the coefficient of the first term by the constant 1 * 10 = 10 Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is 7 . -10 + -1 = -11 -5 + -2 = -7 -2 + -5 = -7 -1 + -10 = -11 1 + 10 = 11 2 + 5 = 7 That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 5 x2 + 2x + 5x + 10Step-4 : Add up the first 2 terms, pulling out like factors : x * (x+2) Add up the last 2 terms, pulling out common factors : 5 * (x+2)Step-5 : Add up the four terms of step 4 : (x+5) * (x+2) Which is the desired factorizationSolution:
(x+2) * (x+5)in a class, 1/3 of the students failed their unit test. If 8 students failed the test, how many students were in the class
Answer:
24 students
Step-by-step explanation:
Set up an equation:
[tex]1/3s=8[/tex]
with s being students
Solve for s
[tex]s=8(3)\\s=24[/tex]
In a lab experiment, 2000 bacteria are placed in a petri dish. The
a
conditions are such that the number of bacteria is able to double every
23 hours. How many bacteria would there be after 26 hours, to the
nearest whole number?
Answer:
4378
Step-by-step explanation:
Math answer plz need help with this plz answer
Answer:
176.625 sq.ft, 4.8 sq.ft
Step-by-step explanation:
Area of circle=πr^2 or πd^2/4
11. Given,
d=15 ft
Now,
Area=πd^2/4
3.14*15^2/4
176.625 ft^2
Therefore, the area approximation is 176.6 sq.ft
12.
Given,
d=3.5 ft
Now,
Area= πd^2/8
3.14*3.5^2/8
4.8 sq.ft
I got the answer by dividing the area of circle by 2 as semicircle is half of circle.
I. EED HELP FAST, IS FOR A TEST!!!!
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answer:
29%
Step-by-step explanation:
I guarantee this is the right answer.
A farmer has 5 times as many cows as horses. The farmer only has cows and horses, and he has 168 animals. How many horses does he have
Answer:
140
Step-by-step explanation:
This gives you the information that each equal group has 28 animals. Only one group is all horses, so a simple method in this problem in to simply subtract 28 from 168. Always check. Answer: 140 cows.
pls this is important or else ill get an F pls i need someone smart to solve it
analyze picture
com loses 1/4 of its value after every year it is purchased
v = original price times 1/4 x times(x represents)
v = 800*(3/4)^x
so, if x is five, then t is
800*(3/4)^5= 189 27/32
Answer:
[tex]v=800(0.75)^t[/tex]
$189.84 (nearest cent)
Step-by-step explanation:
If a computer loses 1/4 of its value each year, then each year it will be 75% of the value of the previous year, since 100% - 25% = 75%.
Therefore, we need to model this as an exponential function.
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor) in decimal formx is the independent variabley is the dependent variableFrom the given information:
a = $800b = 75% = 0.75x = ty = vSubstituting the values into the formula:
[tex]\implies v=800(0.75)^t[/tex]
When x = 5, t = 5
[tex]\implies v=800(0.75)^5=189.84375[/tex]
⇒ v = $189.84 (nearest cent)
HURRY PLEASE!! HELP!
Answer:
i cant quite see the questin can you like take a closer picture
If the recipe calls for 3 cups of sugar for every 4 cups of flour, how many cups of sugar would be used for one cup of flour?
Answer: Amount of sugar 2 cups, amount of flour 3 cups, this means that for every cup of flour you will need 2/3 of cup of sugar
Step-by-step explanation:
question#1
will give brainliest
Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
how do i calculate volume and the round it to the nearest cubric centimeter? where do i start?
Answer:
base times height
Step-by-step explanation:
Lets say its a cube with a length of 6, a width of 6, and a height of 6. I would find the base first by multiplying the width times length, which you probably know how to do. The base would be 36, then I would multiply it by the height which is six which would be 216.
Find the angle of least positive measure that is coterminal with -541°.
simplify (4xy-2x)+(2x^2+8x)
Answer: 4xy+6x+2x^2
Step-by-step explanation:
4xy-2x+2x^2+8x
we can combine the terms that only have an x (Ax for any number A)
in this case that's -2x and 8x
-2x+8x=6x
the other things can't be combined
thus you end up with
4xy+6x+2x^2
270 is 75% of what number?
Answer:
360
Step-by-step explanation:
270 = 75% of x
270 = 0.75 × x
0.75x = 270
x = 270/0.75
x = 360
Answer: 360
Answer:
360
Step-by-step explanation:
We have, 75% × x = 270
or, 75/100 × x = 270
Multiplying both sides by 100 and dividing both sides by 75,
we have x = 270 × 100/75x = 360
If you are using a calculator, simply enter 270×100÷75, which will give you the answer.
Five of six numbers have a sum of 25. the average of all 6 numbers is 6. What is the 6 number?
Answer:
11
Step-by-step explanation:
if the average of 6 number is 6, then the sum of those 6 numbers = 6 x 6 = 36
Therefore, the 6th number is: 36 - 25 = 11
Expand (x-y)^4 “expand each binomial”
Answer:
(x-y)(x-y)(x-y)(x-y)
Step-by-step explanation:
(x-y)^4 means multiply (x-y) four times
Evaluate [6 - (5 - 6(5 - 7) + 3)] + 3
Challenge You have 2 different savings accounts. For Account A, the simple interest earned after 3 months is $1.60. For Account B, the simple interest earned after 30 months is $43.75. If the interest rate is 3.2% for Account A and 2.5% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer. Account A has a principal of $ (Round to the nearest dollar as needed
Answer:
$1.28
Note for you:
I hope this helps!
Answer and Step-by-step explanation:
The computation is shown below;
As we know that
The simple interest is
Simple interest = Principal × rate × time
For Account A, the principal would be
2 = Principal × 3.2% × 3
So, the principal is $20.83
For account B, the principal would be
38.50 = Principal × 2.2% × 30
So, the principal is $58.33
Now the interest for both the accounts are as follows
For account 1
= $20.83 × 3.2%
= $0.67
And, for the account 2
= $58.33 × 2.2%
= $1.28
As it can be seen that the account 2 has the highest interest
The same is to be considered
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=9300(0.991) ^6
Using exponential function concepts, it is found that it represents a decay of 0.9%.
What is an exponential function?
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the function is:
[tex]A(t) = 9300(0.991)^{6t}[/tex]
Hence:
[tex]1 - r = 0.991[/tex]
[tex]r = 0.009[/tex]
Thus, it represents a decay of 0.9%.
You can learn more about exponential function concepts at https://brainly.com/question/25537936
If a race car averages 115 miles per hour for 4 hours, how far does the car travel?
Answer:
28.75
Step-by-step explanation:
2. how are <1 and <2 related ?
Answer: vertical angles
Step-by-step explanation:
las edades de dos hermanos suman 38 años, calcularlas, sabiendo que la edad de uno es superior en 8años a la edad del otro
Teniendo en cuenta la definición de sistema de ecuaciones lineales, las edades de los hermanos son 15 y 23 años.
Definición de sistema de ecuacionesUn sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones.
Edad de dos hermanosEn este caso, se debe plantear un sistema de ecuaciones lineales teniendo en cuenta que:
x= edad de un hermano.y= edad de otro hermano.Por un lado, las edades de dos hermanos suman 38 años. Esto se expresa mediante: x+y= 38
Por otro lado, la edad de uno es superior en 8 años a la edad del otro, expresado mediante x=y +8
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+y=38} \atop {x=y+8}} \right.[/tex]
Existiendo diversos métodos para resolver un sistema de ecuaciones, se decide resolver mediante el método de sustitución, que consiste en despejar una de las dos variables en una de las ecuaciones del sistema y sustituir su valor en la otra ecuación.
En este caso, en la segunda ecuación la variable "x" ya se encuentra aislada. Entonces, reemplazando dicha expresión en la primer ecuación se llega a:
y +8 +y= 38
Resolviendo:
2y + 8=38
2y= 38 -8
2y=30
y=30 ÷2
y=15
Finalmente, para obtener el valor de y se reemplaza en la segunda ecuación, y resolviendo se obtiene:
x= y + 8
x= 15 + 8
x=23
Finalmente, las edades de los hermanos son 15 y 23 años.
Aprende más sobre sistemas de ecuaciones lineales:
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The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used to justify this step?.
You can use the properties of logarithm to derive the simplified form of the given expression.
The simplification of the given expression requires the given below properties of logarithm
[tex]log_a(b^c) = c \times log_a(b)\\\\[/tex][tex]log_b(b) = 1[/tex]What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1[/tex]
Using the above properties, to get to the simplified form of the given expressionThe given expression is
[tex]log_b(b^{x+y})[/tex]
Using the property [tex]log_a(b^c) = c \times log_a(b)\\\\[/tex], we get
[tex]log_b(b^{x+y}) = (x+y)\times log_b(b)[/tex]
Using the property [tex]log_b(b) = 1[/tex], we get
[tex]log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y[/tex]
Thus,
The simplification of the given expression requires the given below properties of logarithm
[tex]log_a(b^c) = c \times log_a(b)\\\\[/tex][tex]log_b(b) = 1[/tex]Learn more about logarithms here:
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Answer: C
Step-by-step explanation
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