Answer:
A. [tex] T= \frac{KP^2}{Z}[/tex]
D. K = 8
B. 216
Step-by-step explanation:
Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
Solution:
According to the given information:
T varies directly as the square of P.
[tex] T\alpha P^2..... (1)[/tex]
T varies inversely as Z.
[tex] T\alpha \frac{1}{Z} ..... (2)[/tex]
Combining equations (1) & (2)
[tex] T\alpha \frac{P^2}{Z}[/tex]
[tex] T= \frac{KP^2}{Z}[/tex]
(Where K is proportionality constant)
(This is the equation of variation)
Plug T=12, P=3 and Z=6 in the above equation of variation, we find:
[tex] 12= \frac{K(3)^2}{6}[/tex]
[tex] 12= \frac{K\times 9}{6}[/tex]
[tex] K= \frac{12\times 6}{9}[/tex]
[tex] K= \frac{72}{9}[/tex]
[tex] K= 8[/tex]
So, the value of the variation constant = 8
Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:
[tex] T= \frac{8(9)^2}{6}[/tex]
[tex] T= \frac{8\times 81}{6}[/tex]
[tex] T= \frac{648}{6}[/tex]
[tex] T= 108[/tex]
[tex] 2T= 2\times 108[/tex]
[tex] 2T= 216[/tex]
So, 216 is twice the value of T.
Find the percent of change
1970's: $0.79
2010's: $3.72
Answer:
471%
Step-by-step explanation:
If you divide 3.72 by .79 you get 4.7088...
Multiply by 100 to get your percentage is 470.88...
Rounded to nearest percentage is 471
hope this helps
WHAT IS THE LEGENTH OF ML. PLEASE HELP NOW
Answer:
gdfgdf
Step-by-step explanation:
600% of what number is 5,580
Answer:
930
Step-by-step explanation:
600% of x = 5580
6x = 5580
x = 5580/6
x = 930
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player is an infielder.
Let 0 = the event that a player is an outfielder
Let H = the event that a player is a great hitter.
Let N = the event that a player is not a great hitter.
Write the symbols for the probability that of all the great hitters, a player is an outfielder.
Answer:
P(H | I)
Step-by-step explanation:
Given that
Some players considered to be great hitters and some would be not great htters
So based on the symbols given in the question
For all the great hitters a player would be an outfielder
For this the symbol is
P(H | I)
The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
Given information:
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Lets assume,
I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.It is required to write the probability that of all the great hitters, a player is an outfielder.
It is required that the player should be outfielder and hitter both.
So, the required probability can be written as,
[tex]P(O\cap H)[/tex]
Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
For further details refer the given link:
https://brainly.com/question/795909
Circle the fraction greater than 3/10?
1/3
3/11
4/15
Or 29/100
Answer:
1/3 is the only fraction here that is greater than 3/10.
Step-by-step explanation:
Convert these to decimals first, which can make it easier.
1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.
3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.
4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.
29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.
So the answer is 1/3.
PLS Help While on a strenuous hike, Tara recorded her distance from the peak of the mountain at two different time intervals. The table shows the two pieces of data she collected.
Answer:
Step-by-step explanation:
Equation of a line representing the relation between distance from the peak of the mountain and time is,
h = mt + b
Here, m = Slope of the line
b = y-intercept
Since, slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (2, 2600) and (5, 950) will be,
m = [tex]\frac{2600-950}{2-5}[/tex]
= -550
Therefore, equation of the line will be,
h = -550t + b
Since, point (2, 2600) lies on this line,
2600 = -550(2) + b
b = 2600 + 1100
b = 3700
So, equation of the line will be,
h = -550t + 3700
Input - output values for this line,
t 2 4 6
h 2600 1500 400
Now we can plot these points and get the graph of the line.
Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?
Answer:
$1200
Step-by-step explanation:
we know that,
I=PTR/100=200*4*3/100=100*4*3=400*3=$1200
Answer:
1,200
Step-by-step explanation:
How can you tell how many solutions a linear equation will have by looking at the equation?
Answer:
A system of two equations can be classified as follows
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
please help with my math homework
Answer:
sorry for that
Step-by-step explanation:
image is so unclear can't even read
Would a scatter plot showing the size of a swimming pool and the amount
of water to fill it show a positive, negative, or no relationship?
Answer: a scatter plot
Step-by-step explanation:
Answer:
Positive
Step-by-step explanation:
As size increases, amount of water to fill it would obviously increase. This means there is a positive increase, meaning that the correlation would be positive.
la picina de Javier se llena con 5 galones de agua.Si cada galón de agua equivale a 3.785 litros cuántos litros se ocupan para llenar la picina
Answer:
I don't know your language
Answer:
se llena con 18.925 litros
Step-by-step explanation:
5x 3.785
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
x=63+86
Step-by-step explanation:
due to circle theory
Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = {1,4,7,9).
P(E)= ____?
(Type an integer or a decimal. Do not round.)
Answer:
Step-by-step explanation:
With replacement
(1/10)^4
1/10000
0.0001
Without replacement
(1/10)(1/9)(1/8)(1/7)
1/5040
0.00019841269
Find the equation of the line
Use exact numbers
Answer:
y = 1x + -5
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.
y = mx + b ⇒ y = mx - 5
now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0) from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].
first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]
then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.
[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]
now simplify by subtracting 0 from 3 and 5 from 8.
3 - 0 = 38 - 5 = 3the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or 3 ÷ 3 = 1.
the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)
i hope this helps! have a lovely day <3
Find the value of x. 7 3
x=
Step-by-step explanation:
these are your answers anyways you're welcome bye bye
Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:
12 feet to 15 inches
------/---------
Answer:12533
Step-by-step explanation:
What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
-5, -2, 1,4
-4,-3,0,5
-3,0,3,6
-2,0,2,4
Answer:
the first four terms is 3, 0, -3, -6
To get to the baseball game, Todd drove 2 hours and 10 minutes, stopped for 15 minutes, then drove 1 hour 15 minutes more to get to the game. If he arrived at 6:10, what time did he leave?
Can anyone please help me with 13-16 I’m begging anybody
Answer:
-3
Step-by-step explanation:
An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.
13-16, 16 is larger than 13 so it's negative
Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of pets currently living in the household Pant size Height in inches Pounds of chocolate consumed in the past year
Step-by-step explanation:
A discrete variable can be defined as a definite variable that we can get it's possible values just by counting. With this in mind.
1. The number of countries ever visited is a discrete variable
2. Shoe size is definite, it is a discrete variable.
3. Number of pets living in a household is a discrete variable.
A continuous variable is one that we can get the value through measurements.
1. Pounds of chocolate consumed in the past is continuous
2. Height in inches is continuous
2/4 - 1/4 please hep i know im not that good
for asking this
If it takes 6 workers to paint a house in 48 hours how will it take 4 workers to paint the same house?
Step-by-step explanation:
6 worker do the painting of house = 48 hours
1 worker will take = 48/6 = 8 hours
4 worker will take. = 4× 8 = 32 hours
to paint the house
plz mark my answer as brainlist plzzzz vote me also .
hope this will be helpful to you ☺️.
Answer:
96 hours
Step-by-step explanation:
48 / 6 = 8
8 hours per worker.
4 x 8 = 24 x 2 = 48
So 96 hours
Hope that helps!
I need help so please be nice and help me hurry cause I have to turn this in!!
Answer:
16 easy
Step-by-step explanation:
Hi! I am having a hard time with this question. Can anyone help me out? I only need to answer the questions with the red circles
can someone help me solve this please :))
How to solve this equation
Answer:
[tex]\frac{y^{6}}{4x^{2} }[/tex]
Step-by-step explanation:
ANSWER ASAP I WILL GIVE BRAINLIST
Answer:
its upside down
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Enter the unknown value that makes this statement true.
35 is % of 70
Answer:
Step-by-step explanation:
35 = x% of 70
35 = 1/2 of 70
x% = 50%
x = 50
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two, and describe any simplification that can be done.
Answer:
t(x) = 6x + 438
Step-by-step explanation:
The total (marked it as t) amount of money that Tamara has is the sum of the money under her bed and the money that she makes by babysitting.
Note that the first function is fixed and doesn't actually depend on x (it could be written s = 450), so the only variable, which changes, is the hours (x) in the second function.
// combining the two functions
t(x) = 450 + 6(x − 2)
// simplification
t(x) = 450 + 6x − 12
t(x) = 450 + 6x − 12
// the simplified function is
t(x) = 6x + 438
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you
get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the
record, and he needs 18,000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w, Sal could make to break the record.
Graph the solution set to this inequality.
+
352
350
354
356
358
360
362
364
Switch direction
Make circle open
He needs 18,000 points.
He starts with 100, so subtract the 100 from 18,000 to get how many more points he needs:
18000 - 100 = 17,900 more points.
Divide the points needed by points per word:
17,900 / 50 = 358
He needs at least 358 words.
The inequality would be 50x+100>=18000, where x is the number of words.
Because 358 can be part of the solution, a solid dot on 358 and the line/arrow needs to point to the right for greater than.
