Answer:
1. If its radius is 2 inches, the height is 36 inches.
2. If its radius is 2 inches, the height is 16 inches.
3. If its radius is 2 inches, the height is 4 inches.
Step-by-step explanation:
Here is the complete question:
There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .
1. What is the height of one of these cylinders if its radius is 2 inches?
2. What is the height of one of these cylinders if its radius is 3 inches?
3. What is the height of one of these cylinders if its radius is 6 inches?
Step-by-step explanation:
1. To determine the height of one of the cylinders if its radius is 2 inches,
From the question,
Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 2 inches
[tex]h(r) =\frac{144}{2^{2} }[/tex]
[tex]h(r) =\frac{144}{4 }[/tex]
[tex]h(r) = 36 inches[/tex]
Hence, the height is 36 inches
2. To determine the height of one of the cylinders if its radius is 3 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 3 inches
[tex]h(r) =\frac{144}{3^{2} }[/tex]
[tex]h(r) =\frac{144}{9 }[/tex]
[tex]h(r) = 16 inches[/tex]
Hence, the height is 16 inches
3. To determine the height of one of the cylinders if its radius is 6 inches,
Again,
[tex]h(r) =\frac{144}{r^{2} }[/tex]
Then, when r = 6 inches
[tex]h(r) =\frac{144}{6^{2} }[/tex]
[tex]h(r) =\frac{144}{36 }[/tex]
[tex]h(r) = 4 inches[/tex]
Hence, the height is 4 inches.
f(x)=-4x+2 find f(x) when x=1
Answer:
6
Step-by-step explanation:
plug in 1 for where it says x and you would get 6
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer:
4860000
Step-by-step explanation:
just multiple the interest by monthly payment and then by 30
168 stickers for 24 students unit rate
Answer:
89/12
Step-by-step explanation:
Answer: The unit rate is 7 stickers per student!
Step-by-step explanation: This can be found by dividing the amount of stickers by the amount of students.
Hope this helps, if not, comment down below please!!!
You are preparing a case study on the dallas cowboys. You use many methods of data collection in creating the case study. Here is an excerpt: the dallas cowboys were formed in 1960 and have had seven head coaches since then. I surveyed 100 people and one of the questions was, who is your favorite coach of the dallas cowboys? Seventy people said tom landry, fifteen said jimmy johnson, five said bill parcells, and ten answered other. One of those who answered other was my brother. I asked him which coach was his favorite and he said, "barry switzer because he was the last one to win a championship." i knew he was kidding because he had a smirk on his face. The excerpt relays information gathered from questionnaires, interviews, observations, and historical data. Identify the information from the case study that was collected by each of the four methods.
Answer:
The information that was collected by each of the four methods is;
The participant's favorite coach of the Dallas Cowboys.
Step-by-step explanation:
For each of the four methods listed, the question that stood out was the favorite coach of the Dallas Cowboys among the participants in the study.
Questionnaire: one of the questions was, who is your favorite coach of the Dallas cowboys?
Interview: I asked him which coach was his favorite
Observation: I knew he was kidding because he had a smirk on his face. This observation showed that Barry Switzer was not really his favorite coach.
Historical data: I asked him which coach was his favorite and he said, "Barry Switzer because he was the last one to win a championship." This historical data shows that the reason why Barry Switzer was chosen as the researcher's favorite coach was that he was the last to win a championship.
Which equation best represents the graph shown above
Answer:
Its y=-2(x-1)^2+6
Step-by-step explanation:
8x-13+4+1=90 helppppppp
Answer:
x = 49/4
Step-by-step explanation:
Ayden filled up his car with gas before embarking on a road trip across the country. The car uses 2 gallons of gas for every hour driven, and after driving for 4 hours, there were 4 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Ayden's gas tank after tt hours of driving.
Answer:
G=-2t=12
Step-by-step explanation:
uh well i did delta thats was the answer they gave me...
Total capacity: 12 gallons
Equation: G = 12 - R*t
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let R be rate of gas consumption by car = 2 gallons/hr
Let G be the gallons in the car left
let g be the gallons used by the car while driving
Driven time, t = 4 hrs
Remaining gas =4 gallons
according to the question,
consumption rate, R = g/t
After driving for 4 hours
2 = g/4
g = 2*4 = 8 gallons
remaining gas = 4 gallons
therefore, total capacity of the car = 8 + 4 = 12 gallons
equation in terms of gas left,
G = 12 - R*t
Read more about mathematical expression here :
https://brainly.in/question/26994041
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For f(x)=3x+1 and g(x)=x^2-6, find (fxg)(x).
3x^2-17
4x^2-6x-8
3x^3+x^2-18x-6
3x^3+x^2-6x-6
Answer:
3x+1+x^2-6
Step-by-step explanation:
(fxg)(x)= 3x+1+x^2-6
f(x) is = to 3x+1
and g(x) is = to x^2-6
so the answer would be 3x+1+x^2-6!
How does knowing some constructions help you do other, more complicated constructions
Answer:
the first thing you learned is the base. then you can build off of it. just like math. you learn simple adding then you go onto multiplication and division.
Please help this has 15 points
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.
If Buzz walks a distance of m kilometers find the value of m.
Answer:
m = 1.35
Step-by-step explanation:
Buzz = m
Maria = m + 2.4
Together = 5.1
Equation:
m + m + 2.4 = 5.1
2m + 2.4 = 5.1
2m = 2.7
m = 1.35
So now:
Buzz = 1.35
Maria = 1.35 + 2.4 = 3.75
1.35 + 3.75 = 5.1
This solution is correct.
Hope this helps!
y−1=−2(x−2) in slope intercept form
Answer:
[tex]y = - 2x + 5[/tex]
Step-by-step explanation:
Simply simplify the equation from what it is to the slope intercept format:
[tex]y = mx + b[/tex]
Step-by-step explanation:
Hey there!
We know;
The slope intercept form of equation is;
y = mx+c
So, let's try to take it in this form.
(y-1) = -2(x-2)
Multiply -2 and (x-2)
(y-1) = -2x + 4
Take '-1' to right side.
y = -2x+4+1
y = -2x+5
Therefore, the equation is y = -2x+5.
Hope it helps...
The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point
need the coordinates to be able to answer
After all markdowns and discounts, Charlene's prom dress cost her $22 before tax. The dress was on a rack labeled "50% off lowest marked price," and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?
Answer: $88.
Step-by-step explanation:
given data:
The cost of the dress for the prom = $22
label of the rack the dresss was on = 50%.
lowest marked price for the dress = 75%.
Solution:
if the lowest marked price of the cloth was already 75%.
and the current cost of the clothe is $22
the original cost of the cloth would be
100% – 75% = 0.25%
= $22 * 100 / 0.25%
= $88.
The original cost of the dress was $88
Answer:
$88
Step-by-step explanation:
Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Tyler ran 4,200 meters in 30 minutes. • Kiran ran 6,300 meters in 1 hour. . Mai ran 6.3 kilometers in 45 minutes. 2. At what rate did each of them run?
Answer:
rate of Tyler = 8.4 Km/hour
rate of Kiran = 6.3 Km/hour
rate of Mai = 8.5 Km/hour
Step-by-step explanation:
Rate is the speed with which each ran
speed = total distance covered/total time taken to cover that distance
we will use unit km/hour for speed calculation
_____________________________________________________________
For Tyler
distance = 4200 m
1000 m = 1 km
4200 m = 1/1000 *4200 km = 4.2 KM
time = 30 minutes
60 mins = 1 hour
30 minutes = 1/60 *30 hour = 0.5 hours
thus,
speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour
_____________________________________________________
For Kiran
distance = 6300 m
1000 m = 1 km
6300 m = 1/1000 *6300 km = 6.3 Km
time = 1 hour
thus,
speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour
_____________________________________________________
For Mai
distance = 6.3 Km
time = 45 minutes
60 mins = 1 hour
45 minutes = 1/60 *45 hour = 0.75 hours
thus,
speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour
To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the
diameter of the artery is 2.7 mm, what is the diameter on the model?
HELP PLS
Answer:
Step-by-step explanation:
Answer:
The answer is 9 cm
Step By Step Explanation
is -7.8 an irrational number
Answer:
No.
Step-by-step explanation:
An irrational number has never-ending decimals.
A rational number can be written as a fraction or has a terminating decimal.
-7.8 can be rewritten into a fraction. Its decimal also terminates. Therefore, it is not irrational but rational.
Answer:
-7.8 is rational
Step-by-step explanation:
irrational numbers are nubers that repaet random numbers that you wont know what comes next like pi or the squar root of 2. hope this halps and can you take in consideration of giving me a brainliest? Thank you
Corey is 6 feet tall. There are 2.54 centimeters in 1 inch. What is corey’s height in centimeters
Answer:
He is 182.88 cm tall
Step-by-step explanation:
6×12= 72
72×2.54= 182.88
Not sure how to do this
HELPPPPpPPPZZZ PLZZZZ I NEED HELLPP
Answer:
The triangles are lined up with their correct pairs already.
Step-by-step explanation:
The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.
A package of candy contains 8 mini candy bars. The cost of the package is $2. What is the unit price?
Answer:
16 8 * 2 = 16 <3
Step-by-step explanation:
A-5-B when A=9 and B=-4
Answer:
8
Step-by-step explanation:
(Refer to picture)
Plug in the value of A and the value of B into the expression
what is the explicit formula for this sequence? -8, -3, 2, 7
Answer:
an+9n-11
Step-by-step explanation:
least to greatest 8/9 6/9 5/9 7/9
Answer:
5/9 6/9 7/9 8/9
SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)
Answer:
5 sales is the answer now give brainliest
Answer:
He would have to make 5 sales.
Step-by-step explanation:
To write this as an inequality, you would write it as 20 + 6(x).
Write this word sentence as an inequality.
A number y is greater than –8 and is at most –7.
Pleaseeee!!! Someone hurry!!!
Answer:
-8<y≤-7
.Step-by-step explanation:
7.99, -7.567854, -7.1, -7, but it COULD NOT be -8.
Hi guys what is 6 divided by 2(1+2 )
Answer:
0
Step-by-step explanation:
1+2 = 3
3x2 = 6
6divdedby6= 0
Please help!!!! thank youuuu
A truck can be rented from Company A for $160 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
la respuesta correcta es $123.222per mile
Answer: T he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160miles.
Step-by-step explanation:
Step 1
Let us write the rental cost with each company:
Company A , they will charge =$160 +$ 0.40x
Company B, They will charge = $80 + $0.90x
Where x =number of miles travelled
Step 2
we then find the number of miles in a day at which the rental costs for Company A and Company B will be the same by equating both equations and solving for x
160 + 0.40x= 80 + 0.90x
160-80 = 0.90x-0.40x
80= 0.50x
x= 80/0.5
x= 160
Therefore t he number of miles in a day at which the rental costs for Company A and Company B are the same is when x = 160 miles.
What is the equation of the line that is perpendicular to y = -x + 4 and passes through
the point (-1, 3)?
Answer:
Try y=x²+4
Step-by-step explanation:
y=-x+4
when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this
y-3=x(x- -1)
y-3=x²+1
+3 +3
__________
y=x²+4
Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have[tex] \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Using cosine we have[tex] \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}[/tex]
Hope this helps you