Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
[tex]m \propto\ r^3[/tex]
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
[tex]m = kr^3[/tex]
Given
r=3,m=216
Putting the values
[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]
The equation will now become
[tex]m = 8r^3[/tex]
Putting r = 5
[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]
Hence,
The value of m is 1000 for r=5
What is 2 divided by 3/4
Answer:
1/2
Step-by-step explanation:
2 / (3/4) = 1/2 * 3/4
= 3/6
= 1/2
Answer:2.6 with the 6 repeating
or 2.66666666667
Step-by-step explanation:
i am fast with a calculator.
Sarah's soccer team won 68% of the games they played. If they won 17 games, how many did they did they play?
Answer:
25
Step-by-step explanation:
Compare the data and get the answer
Answer:
25
Step-by-step explanation:
Solve the following problems using linear functions.
a. Suppose there’s a linear relationship between your height and your shoe size: s = (1/10)h + 5, where h is measured in inches. If you’re 5 feet, 10 inches tall, what size shoes do you take? (Remember that 1 foot = 12 inches.)
b. Runner A and Runner B are competing in a race. Runner B is given a 10-meter head start and is therefore positioned 10 meters in front of the starting line. The starting gun sounds, and Runner B runs at a constant speed of 2.5 meters per second (m/s). After 10 seconds, how far is Runner B from the starting line?
Answer: a.) I take a shoe size 12
b.) Runner B is 35 m from starting line
Step-by-step explanation:
a) The variable h (height) is in inches, so, first, transform feet in inches:
1 ft = 12 in
5ft = 5.12 = 60 in
My height is 5ft 10in, then, my height in inches is: h = 60 + 10 = 70
To determine my shoe size:
[tex]s=\frac{1}{10}(70)+5[/tex]
s = 12
For me, who is 5ft 10in tall, my shoe size is 12.
b) Runner B is 10m in front of the starting line, which means runner's initial position is 10. Linear relationship between speed and position is given by:
[tex]x=x_{0}+v.t[/tex]
where
x₀ is initial position
v is speed
t is time
Replacing and solving:
x = 10 + 2.5t
x = 10 + 2.5(10)
x = 35
After 10s, Runner B is 35 meters ahead of the starting line
help y'all i need it badly
Answer:
In other words, the slope of the line tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on.
Step-by-step explanation:
Hope this helps
Find the average price of homes in the county you selected and use that as population mean prices to state a hypothesis about the data. Note that you already have a sample mean of your area, Use this to set up a hypothesis test. Develop a summary of the five-step hypothesis testing model.
Answer:
hello your question has some missing part attached below is the missing part
Average Price of home in my county= $580,400 Mean=640069.371428571 stand error= 20175.166257334
The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874
Critical t= confidence=95% sign= 5%
2.05183052
Answer :
First step : Confidence interval
Second step : Hypothesis test
Third step : perform a Test statistic
Fourth step : Reject null hypothesis
Fifth step : conclusion
Step-by-step explanation:
First step : Confidence interval
attached below
confidence interval ; ( 599068.13, 681069.87 )
Second step : Hypothesis test
attached below
Critical values of t = ± 2.032 ( from table )
Third step : perform a Test statistic
attached below
hence t = 2.958
Fourth step : Reject null hypothesis
we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )
Fifth step : conclusion
Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .
multiply 17.243 * 0.95
Answer:
16.38085
Step-by-step explanation:
Answer:
the answer is: 16.38085
Step-by-step explanation:
i have a good calculator
Determine the x- and y- intercepts for the graph equation y = -8
a. x-intercept is (0, -8) No y-intercept
b. No x-intercept y-intercept is (0, -8)
c. x-intercept is ( x8, 0) NO y-intercept
d. NO x-intercept is ( -8,0)
Please select the best answer from the choices prov
Answer:
b. No x-intercept y-intercept is (0, -8)
Answer:b
Step-by-step explanation:
PLS HELP
Rita's cat, Pickle, spends 40 percent of his day napping. How many hours does Pickle spend asleep each day?
he spends 9.6 hours sleeping each day! plz mark me the brainliest!
PLEASE HELP ME!!!! PLEASE PLEASE!!! 40 POINTS a rectangular toy box has a length of x + 1 feet a width of 2x - 5 feet if the volume is 90 cubic feet what are the dimensions of the toy box
Answer:
the dimensions of the toy box:
Step-by-step explanation:
x+1=2x
2x-5
90
like terms;
- crossing over becomes + and vice versa
soo 2x-2x +90-5
2x^2 cancels it self out leaving 90-5
=85.
Which statement about 4 + 2x is true?
Answer:
What statements, the statements aren't listed in the question?
Step-by-step explanation:
A company sells widgets. The company’s fixed and variable cost are modeled by the function C(x)=0.92x+85000. It’s revenue is modeled by the function R(x)=5.6x.
How many widgets does the company have to sell to break even? Round your answer to the nearest whole number, if needed.
Answer:
18162 widgets
Step-by-step explanation:
Given
[tex]C(x)=0.92x+85000[/tex]
[tex]R(x)=5.6x.[/tex]
Required
Determine the price at break even point
At breakeven point, the following relationship exists
[tex]Rx = C(x)[/tex]
Substitute values for R(x) and C(x)
[tex]5.6x = 0.92x +85000[/tex]
Collect Like Terms
[tex]5.6x - 0.92x =85000[/tex]
[tex]4.68x =85000[/tex]
Make x the subject
[tex]x = \frac{85000}{4.68}[/tex]
[tex]x = 18162.3931624[/tex]
[tex]x = 18162[/tex] --- Approximated
Find the distance between the points (-3,- 2.2) and (-3,2.6).
Plz explain I want to see if I got it right.
Answer:
d = 4.8 units
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
d = [tex]\sqrt{(x_{2} -x_{1} )^2 + (y_{2} -y_{1} )^2}[/tex]
~~~~~~~~~~~
( - 3, 2.6 )
( - 3, - 2.2 )
d = [tex]\sqrt{(-3+3)^2 +(-2.2-2.6)^2 }[/tex] = √(- 4.8)² = 4.8 units
give two ways to write the expression as a phase for 15-b
Answer:
((c)) man so simple. bye
I GIVEEEEE BRAIMLILSTER
Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}[/tex]
Step-by-step explanation:According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .
[tex]\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours } [/tex]
Hence it will cover 300 miles in 5 hours .Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases
You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes.
Answer:
250 minutes
Step-by-step explanation:
I'm going to word it in a more complicated way so that you can already have this knowledge for future times...
3t = 150
150 ÷ 3 = 50
t × 5 = 250
GCF And LCM of 24, 36, 45
Answer:
Step-by-step explanation:
First lets prime factorize each number
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
45 = 3 x 3 x 5
GCF = 3 (3 is the only common prime number factor in the 3 numbers)
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 24 x 3 x 5
= 72 x 5
= 360
Happy to help :)
Write a formula that estimates the change in the volume Vx of a cube when the edge lengths change from a to ax. Then use the formula to estimate the change in volume when x changes from cm to cm.
Answer:
a. [tex]dV = 3x^2\ dx[/tex]
b. See Explanation
Step-by-step explanation:
Given
Shape: Cube
Solving (a); Formula that estimates the change in edge length
The volume (V) of a cube is:
[tex]V = x^3[/tex]
Where
[tex]x = edge\ length[/tex]
The change in volume is got by:
[tex]dV = \frac{d}{dx}(x^3)[/tex]
Differentiate [tex]x^3[/tex]
[tex]dV = 3x^2\ dx[/tex]
Where
[tex]dx = x_2 - x_1[/tex] i.e. change in x
Solving (b):
The initial and final edge lengths are not given.
In order to solve this question, I'll assume that x changes from 5cm to 5.01cm
So, we have:
[tex]x = x_1 = 5cm[/tex]
[tex]x_2 = 5.01cm[/tex]
Substitute these values in [tex]dV = 3x^2\ dx[/tex]
[tex]dV = 3 * (5cm)^2 * (5.01cm - 5cm)[/tex]
[tex]dV = 3 * (5cm)^2 * 0.01cm[/tex]
[tex]dV = 3 * 25cm^2 * 0.01cm[/tex]
[tex]dV = 075cm^3[/tex]
p=10-2.5c, find p when c = 3.2
Answer:
P=2
Step-by-step explanation:
10-2.5(3.2)=P
By order of operations you would multiply 2.5 and 3.2 together giving you 8.
You would then subtract 10-8 giving you 2.
please awnser use images for question
Answer:
coordinate points
Step-by-step explanation:
variables: a symbol for a value we don't know yet. ex: x or y
numbers: I hope you know what they are cuz i dunno how to describe it ex: 2
coordinate points: a set of numbers that show position on a graph ex: (2,4)
operations: adding, subtracting, multiplying, dividing
x-2y= 1 3x -6y =3 solve this by using the substitution method
Answer:
im pretty sure its infinite solutions
Step-by-step explanation:
Determine if the following conditional statement is true or false,
alf B is between A and C, then AB + BC = AC
b.ITB is between A and C, then AB = BC,
✓
c. If AB = BC, then B is a midpoint,
Answer:AlF3
Step-by-step explanation:
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
A cookie recipe that yields 48 cookies calls for 2 cups of flour. How much flour would be needed for a cookie recipe that yields 144 cookies? help asap!!!!! :(
Answer: 6 cups
Step-by-step explanation:
You need to find a unit rate...
48/2= 1 cup for 24 cookies (unit rate)
144/24=6 so you need to multiply 1 and 24 each by 6
1*6=6
24*6
to get...
6 cups for 144 cookies
What did the priests do for the community? a. taught religion c. held mass b. had Indians put on plays d. all of the above Please select the best answer from the choices provided A B C D
Answer:
I'm pretty sure it's A but I could be wrong
Step-by-step explanation:
4x+20 3x
determine the value of x
Step-by-step explanation:
[tex]4x + 20 = 3x \\ x = - 20[/tex]
-20 is the right answer.A plane is flying from city A to city B, which is 70 miles away. After flying 25 miles, the pilot realizes they were 15 ∘ off course .
How far is the plane from city B when the pilot realized the error?
about 74.4 miles
about 21.8 miles
about 46.3 miles
about 84.94 miles
For every pound a company spends on advertising, it spends 43 pence on its website. Express
the amount spent on advertising to its website as a ratio in its simplest form.
Answer:
43:100
Step-by-step explanation:
this is the simplest form
Answer:
The answer is 100:43
Step-by-step explanation:
I need help ASAP plz help
Answer:
8:4
7:3
Step-by-step explanation:
5-x=3
Work out the value of 3x^2
Answer:
12
Step-by-step explanation:
[tex]5 - x = 3 \\ \\ 5 - 3 = x \\ \\ 2 = x \\ \\ x = 2 \\ \\ 3 {x}^{2} = 3 {(2)}^{2} = 3 \times 4 = 12[/tex]
Is the result statistically significant? Explain your answer.What does a mean difference of zero between the two groups indicate?
Answer:
Statistically significant means a result is unlikely due to chance. The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users
Answer:
The p-value is the probability of obtaining the difference we saw from a sample (or a larger one) if there really isn't a difference for all users