Answer:
400mm
Step-by-step explanation:
20x20=400
Solve for x: 2(x + 6) = 22
Answer:
5
Step-by-step explanation:
2(x+6)=22
(x+6)=11
x=5
a machinist is making a gear that will pull a chain at 60 ft/min when rotating at 40 rev/min. What should the radius of the gear be? Answer in inches.
The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.
To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:
chain speed = 2 x pi x radius x rotational speed
where pi is a mathematical constant approximately equal to 3.14.
We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:
60 = 2 x 3.14 x radius x 40
Simplifying the equation, we get:
radius = 60 / (2 x 3.14 x 40)
radius = 0.2387 ft
To convert feet to inches, we can multiply the answer by 12:
radius = 0.2387 x 12 = 2.8644 inches.
For such more questions on Radius:
https://brainly.com/question/24375372
#SPJ11
The population of a rural city follows the exponential growth model P(t)=3400^0.0371t where t is the number of years after 1986 . a) Use this model to approximate the population in 2030.
After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.
Using the given exponential growth model, we have:
\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)
Therefore, the population of the rural city in 2030 is approximately 11,014.18.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
solve for f
f/40 = 10/f
Answer:
Step-by-step explanation:
To solve for f, we can cross-multiply the equation:
f/40 = 10/f
Multiplying both sides by 40f gives:
f^2 = 400
Taking the square root of both sides yields:
f = ±20
Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:
f = 20
After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The Mogul Runners ski club planned a trip to Park City. Of the total number of club members, 11 signed up to go. If this is 25% of the club, how many members does the ski club have?
Answer: 44
Step-by-step explanation: Since 11 members are equal to 25% of the club, 11 members is 1/4 of the club because 25% = 1/4. There are four-fourths in a whole so 11x4 = 44 members. The ski club has 44 members.
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
2√63
Simplify
Bsbahajjssjjxjsjsjj
PLS HELP ME WHO EVER GETS ANSWER I WILL GIVE BRAINLIEST AND ALL MY POINTS SO PLEASE ANSWER THIS PLSSS ITS EASY
Answer:
15
Step-by-step explanation:
Answer:
200 detective phones.
Step-by-step explanation:
Write the proportion where x is the number of detective phones.
cross multiply
divide both sides by 60
What is the next number
7, 11, 2, 18, -7, ?
Please need help fast!
Answer:
Slope is \(-\frac{7}{2}\) and the y-intercept is (0,-2)
Step-by-step explanation:
First, turn the equation into slope-intercept form.
Slope intercept form is \(y=mx+b\). Where m is the slope and b is the y-intercept
The equation would be \(y=\frac{4-7x}{-2}\). Which is equal to \(y=\frac{-7}{2} x-2\).
This means that the slope would be \(-\frac{7}{2}\) and the y-intercept is (0,-2)
1) A number which has more than two
factors is called a
number.
O a) Prime Number
O b) Smallest Number
O c) Composite Number
O d) Biggest Number
Answer:
C) Composite Number
Step-by-step explanation:
The composite number is one which has more than two factors.
eg:- 4,6,9,12,15 etc......
hope so it helped you
If 3 is subtracted from 5 times a number, the result is the same as 9 added to the number. Find the number.
A.)4
B.)-4
C.)3
D.)-3
Answer:
c).3
Step-by-step explanation:
let the number be x
5x-3=x+9
collect like terms
5x-x=9+3
4x= 12
divide both sides by 4
x=3
the number is 3
Write an equation (y=mx+b) for the following word problem.
A cat weighs 30 pounds and is on a special diet to lose 2 pounds per month.
Please help this is due today
Answer:
Steps to find the equation of a line from two points:
Find the slope using the slope formula. ...
Use the slope and one of the points to solve for the y-intercept (b). ...
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
Step-by-step explanation:
Answer:
\(y=-2x+30\)
where y is the weight of the cat (in pounds) and x is the number of months.
Step-by-step explanation:
\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)
The y-intercept is the y-value when x is zero, so the initial value.
If the cat initially weighs 30 pounds, the y-intercept is 30.
The slope is the rate of change.
If the cat lost 2 pounds per month, then the rate of change is -2.
Therefore, the equation the models the given word problem is:
\(\boxed{\begin{minipage}{7 cm}\phantom{ww}\\$y=-2x+30$\\\\where:\\ \phantom{ww}$\bullet$ $y$ is the weight of the cat (in pounds). \\ \phantom{ww}$\bullet$ $x$ is the number of months.\\\end{minipage}}\)
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
Read more on function and translation here: brainly.com/question/31559256
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Can anyone help me pls?? You don’t have to do all of them just help me with some pls!!! :(
Answer:
I'll give you a basic idea on how to do them
Pythagoras theorem
If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:
a² + b² = c²
If a is the missing side, then transform the equation to the form where a is on one side and take a square root:
a = √(c² - b²)
If b is unknown, then:
b = √(c² - a²)
If c is unknown, then:
c = √(a² + b²)
5.
a=5, b=7 and c=?
c=√(5^2 + 7^2)
c= √(25 + 49)
c= √74
Hope it helps:)
Scientists estimate there are 70,000 species insects in each acre of the
Amazon Rainforest. How many species are there in 100 acres? *
Answer:
there are 700 species in every acre
Step-by-step explanation:
divide the amount of species by the amount of acres.
Answer:
7,000,000
Step-by-step explanation:
If there is 70,000 in each acre, just multiply 70,000 times 100 acres.
100 POINTS PLEASE HELP FAST
Select the correct answer.
The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was half of its initial weight. After two hours, the weight of the isotope was half of its weight the previous hour. If this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time?
The top left graph represents the weight of the radioactive isotope over time.
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for the function in this problem are given as follows:
a = 96, b = 0.5.
Hence the function is given as follows:
\(y = 96(0.5)^x\)
Two points on the graph of the function are given as follows:
(1,48) and (2, 24).
Hence the top left graph represents the weight of the radioactive isotope over time.
More can be learned about exponential functions at brainly.com/question/2456547
#SPJ1
Answer:
Graph W
Step-by-step explanation:
The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.
Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).
The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.
Initial weight: 96 grams
After 1 hour: 96 / 2 = 48 grams
After 2 hours: 48 / 2 = 24 grams
After 3 hours: 24 / 2 = 12 grams
After 4 hours: 12 / 2 = 6 grams
After 5 hours: 6 / 2 = 3 grams
So, the points on the graph would be:
(0, 96), (1, 48), (2, 24), (3, 12), (4, 6), (5, 3)Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.
Select the correct answer.
If the factors of quadratic equation are (x + 4) and (x – 9), what are the x-intercepts?
A.
(-9,0) and (-4,0)
B.
(-9,0) and (4,0)
C.
(-4,0) and (9,0)
D.
(4,0) and (9,0)
PLATO
Answer:
The answer is going to be C.
5x35 65x76 what the the total
The solution to the above math arithmetic is 5115.
Addition and subtraction are what?Finding the sum and difference of two integers are the two main addition and subtraction arithmetic procedures. They are both the other's polar opposite. An ordered group of integers with a shared difference between each word is known as an arithmetic sequence. The common difference, for instance, between the mathematical series 3, 9, 15, 21, and 27 is 6.
What exactly is an algebraic question?This grouping contains percent difficulties, decimal recognition, addition, subtraction, multiplication, and division as well as fraction and percent equivalences and estimate issues.
For instance, 5 + 6 = 11 and 11 - 6 = 5.
5x35 + 65x76=5115
To know more about arithmetic visit:-
brainly.com/question/11559160
#SPJ1
someone answer this please!!
The table shows pricing information for two pizzas. How many toppings would
number 13 only
The number of toppings where the cost of each pizza would be equal is 5.
How many toppings would make the pizza equal?The first step is to formulate an equation that represents the cost of each type of pizza.
Total cost = price of cheese pizza + (price per topping x number of toppings)
Cost of pizza A = $10 + $1.50t
Cost of pizza B = $12.50 + t
When the cost of both pizzas are equal, the above equations would be equal to each other.
$10 + $1.50t = $12.50 + t
To determine the value of t, take the following steps:
Combine similar terms: 1.50t - t = $12.50 - $10
Add similar terms = 0.50t = 2,50
Divide both sides by 0.50 = t = 2.50 / 0.50
t = 5
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
#SPJ1
Darlena has started taking photos at amateur dog racing events, later offering the photos for sale to the dog owners by email. The prices she has charged per photo at each of her first three events, and the corresponding number of photos sold and total revenue raised appear in the table below. Price per Photo $56 $52 $24 Number of Photos Sold 4 5 12 Revenue $224 $260 $288 Treating revenue as a function of the number of photos sold, a graph of the three data points is also shown. If she uses quadratic regression to fit a curve to the data, what number of photos are sold, and what price per photo will maximize her revenue?
Please help will mark brainliest PLZZZZZZzzz
Answer:
see explanation
Step-by-step explanation:
The reciprocal of a number n is \(\frac{1}{n}\)
(a)
1 \(\frac{6}{7}\) ← change to an improper fraction
= \(\frac{13}{7}\)
Then its reciprocal is \(\frac{1}{\frac{13}{7} }\) = \(\frac{7}{13}\)
(b)
The reciprocal of \(\frac{7}{13}\) is \(\frac{1}{\frac{7}{13} }\) = \(\frac{13}{7}\) = 1 \(\frac{6}{7}\)
(c)
Each is the reciprocal of the other
Simplify the rational expression
7x/14x^6
The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)
To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.
In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.
In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).
So, we can rewrite the denominator as
\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)
Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:
\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)
Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)
for such more question on rational expression
https://brainly.com/question/28832980
#SPJ8
I need the answers plsss. I will mark brainiest.
Answer:
number 1 is true
Step-by-step explanation:
Guide
e plane.
Part A
Find the coordinates of point Q in terms of a, b, and c.
Enter your answer in the box provided. Enter only your answer.
Q(?, ?)
Part B
Since PQRS is a parallelogram, SQ and PR bisect each other. Use
the coordinates to verify that SQ and PR bisect each other.
Enter your justification in the box provided.
-
Answer:
I need help with this as well.
Step-by-step explanation:
The coordinates of point Q in terms of a, b, and c are (2b+2a, 2c) and SQ and PR bisect each other because the midpoints are same.
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
Let us find coordinates if T using midpoint formula
T=(2b+2a/2, 2c+0/2)
T=(b+a, c)
Now let us find coordinates of Q using midpoint formula
Xs+Xq/2=Xt
0+Xq/2=Xt
Xq = 2b+2a
Ys+Yq/2=Yt
Yq/2=C
Yq=2c
The coordinates of Q are (2b+2a, 2c)
To verify that SQ and PR bisect each other they share the same midpoint
For SQ = (0+2b+2a/2, 0+2c/2)
Midpoint is (b+a, c)
For PR =(2b+2a/2, 2c+0/2)
Midpoint is (b+a, c)
They have same midpoints, so they bisect each other
Hence, the coordinates of point Q in terms of a, b, and c are (2b+2a, 2c) and SQ and PR bisect each other because the midpoints are same.
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ2
the picture has the question and the options !!
Answer:
8g + 11h + 14f
Step-by-step explanation:
To find the perimeter just add the value of all the sides
P =9f + g + 5f + 9h + 2h + 7g
Combine like terms
P = 8g + 11h + 14f
(NO LINKS) (And when I say NO LINKS I MEAN NO FILE AND NO PHOTO!!!!!!!) Please help I’m begging it been two days I keep sending questions all I been getting is links that hack your device so please help it my last questions the other ones I did by myself!!!
Answer:
Step-by-step explanation:
For the difference in temperature, add them together. it takes 14 to get -14 to 0 degrees, then add the 43 to get the additional difference
14+43=57
i can help on first question but I can’t read it.
Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)