Answer:
The gear ratio is calculated by dividing the output speed by the input speed (i= Ws/ We) or by dividing the number of teeth of the driving gear by the number of teeth of the driven gear (i= Ze/ Zs)
Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?
Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.
Survey students taking Marketing to determine how many also take Spanish.
Survey students taking Spanish to determine how many also take Marketing.
Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.
how to graph linear standard 3x−4y=24
Graph the linear equation. 3x-4y= 24
---------------------
Let x = 0, then y = -6
Let y = 0, then x = 8
----------------------------
Plot (0,-6) and (8,0) and draw a line thru them to get:
A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?
A- 1/5 minute/boards
B- 5/1 boards/minutes
C- 5/25 minutes/boards
D- 25/5 boards/minutes
Answer:
B- 5/1 boards/minutesStep-by-step explanation:
Unit rate is the number of circuit boards a minute:
25 boards every 5 minutes >> 25/5 boards every 5/5 minutes >> 5/1 boards/minutesCorrect choice is B
In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:
Answer:
0 ≤ x ≤ 30
Step-by-step explanation:
In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:
f(x) = 250(1.25)ˣ
Which of the following is a reasonable domain for the function?
0 ≤ x ≤ 250
0 ≤ x ≤ 30
All positive integers greater than 100
All real numbers
Solution:
Given that f(x) = 250(1.25)ˣ, where x is the number of days and f(x) is the population of the birds after x days. This means that at the beginning of the month of September (i.e. at x = 0), the population of the birds was 250. And as each day goes by, the population of the bird increases by a factor of 1.25.
The domain of a function is the set of all possible independent variables. In this case the number of days (x) is the independent variable. Since in the month of September there are 30 days, therefore the domain is:
0 ≤ x ≤ 30
What type of association is shown in the scatterplot?
Answer:
A negtive linear accosian
Step-by-step explanation:
Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?
A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x
Answer:
D)
Step-by-step explanation:
-5x + 4 - 3x² + 7x - 4
-3x² + 2x
Answer:
(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )
Can Some one help fast easy question
Answer: x = 2
Step-by-step explanation:
4x + 4 = 2x + 8
2x = 4
x = 2
Answer: x = 2.
Step-by-step explanation: 4x+4=2x+8 subtract 4 from both sides.
4x = 2x+4 subtract 2x on both sides
2x = 4 divide both sides by two
x = 2
I hope this helps, have a nice day.
A woman weighs herself. Her mass is 43.4 kg and she is trying to increase .She successfully increases her mass by 8%. a) Work out the increase in her mass. b) Work out her new mass.
Answer:
Increase in her mass = 3.472 kg
Her new mass = 46.872 kg
Step-by-step explanation:
Her original mass = 43.4 kg
Percentage increase in her mass = 8%
Increase in her mass = 8% of 43.4 kg
= 8/100 * 43.4 kg
= 0.08 * 43.4 kg
= 3.472 kg
Increase in her mass = 3.472 kg
b) Work out her new mass
Her new mass = Her original mass + Increase in her mass
= 43.4 kg + 3.472 kg
= 46.872 kg
Her new mass = 46.872 kg
Largest 3 digit number which is divisible by 6
Answer:
996
Step-by-step explanation:
largest 3 digit number is 999
then just reduce slowly to find ans
Answer:
The largest 3-digit number divisible by 6 is 996.
A thin wire inform of an equilateral triangle of side 11 cm find the area of a circle whose circumference is equal to the length of the wire
Answer:
86.70 cm^2
Step-by-step explanation:
circumference = 11 x 3 = 33
circumference of a circle = nD
33 = 3.14 X D
D = 10.51
r = 10.51 / 2 = 5.25
Area = nr^2
3.14 x 5.25^2 = 86.70 cm^2
Start by writing and solving an
equation (or system of
equations) that represents the
problem below. Be sure to define
any variables you use.
Turkey has a population of 66
million people and is made up
almost entirely of two ethnic
groups: Turks and Kurds. There
are four times more Turks than
Kurds. Write an equation and
solve it to find out how many
Kurds live in Turkey,
k: the number of Kurds
t: the number of Turks
k=k
t=4k
k+t=66,000,000
k+4k=66,000,000
5k=66,000,000
k=13,200,000
t=52,800,000
Step-by-step explanation:
plz brain list.
[tex] \sqrt[3]{( - 64)} [/tex]
Answer:
[tex]-4[/tex]
Step-by-step explanation:
Step 1: Apply the rule
[tex]\left(-64\right)=-64\\\\=\sqrt[3]{-64}[/tex]
Step 2: Apply the radical rule
[tex]\sqrt[3]{-64}=-\sqrt[3]{64}\\\\=-\sqrt[3]{64}[/tex]
Step 3: Factor the number
[tex]\:64=4^3\\\\=-\sqrt[3]{4^3}[/tex]
Step 4: Apply the radical rule
[tex]\sqrt[3]{4^3}=4\\\\=-4[/tex]
Therefore, [tex]\:\sqrt[3]{\left(\:-\:64\right)}\:=\:-4[/tex]
Answer:
-4
Step-by-step explanation:
Which of the following shows the coordinates of Q(3,-5) after a translation of
3 units right?
Q'(0,-5)
Q'(6,-5)
Q'(6,-2)
Q'(3,-2)
Answer:
(0,-5)
Step-by-step explanation:
move the x point to the right three times im pretty sure
how do i find the surface area of the sphere??
Answer:
98 π R
Step-by-step explanation:
Surface area of sphere = 4 π R²
= 2 π R × 2 R
= 49 π × 2 R
= 98 π R
Determine if each equation will have 0, 1, or 2 solutions. Equation A: x(x−3)=0 This equation has ____ solutions because... Equation B: x2=−81 This equation has ____ solutions because... Equation C: (x−1)(x−1)=0 This equation has ____ solutions because...
Answer:
See below
Step-by-step explanation:
Given the expression
x(x-3) = 0
This can be written as x = 0 and x - 3 = 0
x = 0 and x = 0+3
x = 0 and x = 3
Hence the equation has 2 solutions since it is a quadratic equation
B) Given x^2 = -81
Take the square root of both sides
√x² = ±√-81
x =±√-81
Note that √-1 = i
x = ±9i
x = 9i and -9i
Hence this equation has 2 solutions because of its quadratic nature
C) (x−1)(x−1)=0
x - 1 = 0 and x = 1 = 0
x = 1 twice
Hence this equation has 1 solution because of its repitition of root
If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)?
–84
Answer:
hmm very diffecult.
Step-by-step explanation:
if f (x) = StartRoot
Please help me solve this math it’s due in 1 hour
Translate this sentence into an equation. 59 decreased by Vanessa's score is 7. Use the variable v to represent Vanessa's score.
So, Vanessa's score = v. Let's work from there.
We know that 59 is decreased by Vanessa's score, which is subtraction, and thus: 59 - v
Then, we're told that that quantity is 7. "Is" can be used in place of an equals sign: = 7
Therefore, our equation is as follows: 59 - v = 7
Hope this helps!! :)
2 laundry company one time fee
Answer:
Step-by-step explanation:
I am sorry but what is this suppose to be asking
A 10-foot ladder is leaning against a wall. If the ladder reaches 8 feet up the wall, how fare is thr base of the ladder from the wall?
Answer:
6ft
Step-by-step explanation:
The answer is 6 feet
Have a good day:)
How to solve it?
[tex]\int\limits^a_b {x^2+2x} \, dx[/tex]
Hi there! Assume that this is your question.
[tex] \large{ \int \limits^a_b ( {x}^{2} + 2x)dx}[/tex]
Before we get to Integral, you have to know Differentiation first. If you know how to differentiate a polynomial function then we are good to go in Integral!
We call the function that we are going to integrate as Integrand. Integrand is a function that's differentiated. In Integral, Integrating requires you to turn the function from differentiated to an original function.
For Ex. If the Integrand is x² then the original function is (1/3)x³ because when we differentiate (1/3)x³, we get x²
[tex] \large{f(x) = \frac{1}{3} {x}^{3} \longrightarrow f'(x) = {x}^{2} } \\ \large{f'(x) = 3( \frac{1}{3} ) {x}^{3 - 1} } \\ \large{f'(x) = {x}^{2} }[/tex]
So when we Integrate, make sure to convert Integrand as in original function. From the question, our Integrand is x²+2x. The function is in differentiated form. We know that x² is from (1/3)x³ and 2x comes from x²
[tex] \large{ f(x) = {x}^{2} \longrightarrow f'(x) = 2x} \\ \large{f'(x) = 2 {x}^{2 - 1} } \\ \large{f'(x) = 2x}[/tex]
Thus,
[tex] \large{ \int \limits^a_b ( {x}^{2} + 2x)dx} \\ \large{\int \limits^a_b ( \frac{1}{3} {x}^{3} + {x}^{2}) }[/tex]
Normally, if it's an indefinite Integral then we'd just put + C after (1/3)x³+x² but since we have a and b, it's a definite Integral.
[tex] \large{ \int \limits^b_a f(x)dx = F(b) - F(a)}[/tex]
Define F(x) as our anti-diff
From our problem, substitute x = a in then subtract with the one that substitute x = b
[tex] \large{ (\frac{1}{3}{a}^{3} + {a}^{2} ) - ( \frac{1}{3} {b}^{3} + {b}^{2}) }[/tex]
Simplify as we get:
[tex] \large \boxed{ \frac{1}{3}{a}^{3} + {a}^{2} - \frac{1}{3} {b}^{3} - {b}^{2}}[/tex]
PLSS HELP ME BO LINKSSS
Answer:
x=5.657 or because rouded 5.7
Step-by-step explanation:
ill give explaniation if want
Answer:
(I don't understand 36 sorry, but I can help you with 35)
C. 5.7 feet
Step-by-step explanation:
35. This question is asking you to use the pythagorean theorem, this is the formula:
a² + b² = c²
--------
So we know the lengths of a and b,
a² = 16
b² = 16
We add those together:
16 + 16 = 32
-------
The next step is to calculate [tex]\sqrt{32}[/tex]
[tex]\sqrt{32}[/tex] ≈ 5.7
------
Have a good day :)
I'll mark the right answer brainliest :)
Answer:
59045
I hope I helped! :)
The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.
Answer:
[tex](a)\ -16t^2 + 7t + 63=0[/tex]
[tex](b)\ t = 2.215[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 7t + 63[/tex]
Solving (a): Equation when it hits the ground.
This means that [tex]h(t) = 0[/tex]
So, we have:
[tex]h(t) = -16t^2 + 7t + 63[/tex]
[tex]-16t^2 + 7t + 63=0[/tex]
Solving (b): The value of t in (a)
[tex]-16t^2 + 7t + 63=0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
This gives:
[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]
[tex]t = \frac{-7 \± 63.88}{-32}[/tex]
Split
[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]
[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]
[tex]t = -1.7775; or\ t = 2.215[/tex]
Time can't be negative; So:
[tex]t = 2.215[/tex]
I need help with this question
-3 -12 -5 in that order
Answer:
-3
-12
-33
Step-by-step explanation:
sorry if i m wrong.
what is the slope of the line through the points (0,2) and (3,-6)
Answer:
-8/3
Step-by-step explanation:
You can find the slope when given two points
m = (y2-y1)/(x2-x1)
= ( -6-2)/ (3 -0)
= -8/3
288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8
The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1
Answer:
See Explanation
Step-by-step explanation:
Required
Function(s) with the same slope as function 1
The question is incomplete as function 1 and the three additional functions are not given.
However, I will provide a general explanation.
A slope is represented as:
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope
So, considering the following equations
[tex]y = 2x + 3[/tex]
[tex]y = \frac{3x}{2} + 9[/tex]
[tex]y = 2x - 5[/tex]
[tex]y = -2x + 3[/tex]
The following equations have the same slope
[tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Because: [tex]y = mx + b[/tex] implies that:
[tex]m = 2[/tex] for [tex]y = 2x + 3[/tex] and [tex]y = 2x - 5[/tex]
Find the product. Write your solution in standard form.
(b-6)(b-6)
Answer:
b² - 12b + 36
Step-by-step explanation:
use the FOIL method:
b² - 6b - 6b + 36
combine the 'like' terms in the middle:
b² - 12b + 36
The mean of 5 numbers is 11.The numbers are in the ratio 1:2:3:4:5 ?
Please help me!!!!
consider the numbers are x,2x,3x,4x,5x
Given;
(x+2x+3x+4x+5x)/5 = 11
15x = 55
x= 55/15 = 11/3
The numbers are
11/3, 22/3, 11, 44/3, 55/3