Answer
A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.
B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.
Step-by-Step Explanation
A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.
B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].
what is the 2nd term of the linear sequence below?
13,7,1,-5,-11
In the XY coordinate plane, the slope of a line is 4 and it passes through the point (1,3). Find the equation of a line that is perpendicular to the given line and intersects it at the given point.
A. y=4x-1
B. y=-4x+7
C. y=1/4x -1
D. y=4x+13/4
E. y=-1/4x+13/4
Answer:
E?
Step-by-step explanation:
I'm sorry of this answer is wrong
Aaron kept $12 000 in a bank account with an annual interest rate of 4%. After exactly 2 years, the bank chose Aaron as the winner for a prize money worth $5000. Aaron decided to invest all his savings and the prize money into a Trust Fund which offers a dividend of 4.5% per annum. When ( which year ) will all his investment value exceed $20 000?
Answer:
Initial amount P = $12000
Interest after 2 years I = 4%*2 = 8%
Investment into Trust fund:
$12000 + $5000 + 0.08*$12000 = $17960Interest amount to exceed $20000:
$20000 - $17960 = $2040Time required to get $2040:
17960*0.045x = 2040808.2x = 2040x = 2040/808.2x = 2.52 yearsThe investment will exceed $20000 in the second half of the third year
find the y intercepts and x
for 11, 12
11.
x= 5 and y= -6
12. x= -4 and y= -5
Answer:
11.
y-int: 3
x-int: -6
slope: 1/2
12.
y-int: -5
x-int: -4
slope: 1
What is the average of -5, 4, 4, 5, 0?
Answer:
0
Step-by-step explanation:
Will give brainpower if you show work
Answer:
full question is not visible..............
Answer:
We dont know the question
Step-by-step explanation:
ive been stuck on problem 20 for so long, help!!
Simplify x + 6–3x – 8.
Can some please helppp!!!!
Answer:
right scalene
Step-by-step explanation:
The triangle above it has a right degree angle which makes that triangle a right triangle because it shares the same line.
it is scalene because there are no angles or side that are equal to each other
2) Mr. Jenkins deposited $1,200 into an account. He made no additional
deposits or withdrawals. Jenkins earned 4.0% annual simple interest on
the money in the account. What was the balance in dollars and cents in
Mr. Jenkins's account at the end of 4 years?
Hello, I Am BrotherEye
Answer:
The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Initial deposit = $ 1,250
Interest rate = 4.25% annual simple = 0.0425
Time of investment = 4 years
2. What was the balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years?
Let's recall the simple interest formula, as follows:
A = P * (1 + rt), where:
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
A = 1,250 * (1 + 4 * 0.0425)
A = 1,250 * 1.17
A = 1,462.50
The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50
Step-by-step explanation:
there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 217 minutes produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?
The newer machine works at a unit rate of
(5400 cans) / (180 min) = 30 cans/min
while the older machine operates at
(5400 cans) / (217 min) ≈ 24.88 cans/min
So working together, the two machines work at a rate of about 54.88 cans/min. Producing 5400 cans would then take about
(5400 cans) / (54.88 cans/min) ≈ 98.39 min
please help asap I will make you brainliest and please don't put a link The area of the base of a triangular pyramid is 90 meters squared, and its height is 6 meters. The volume of a pyramid can be found using the formula V = one-third B h. Which expressions can be used to find the volume of the pyramid? Select three choices.
Answer:
I think It is the third and fifth.
Step-by-step explanation:
i do not know for sure though.
Eleanor placed some marbles in a bag for an experiment. She reaches into the bag and grabs a marble. Eleanor writes down the color of the marble and then places the marble back in the bag. This process is repeated 100 times. The marbles are either red, black, or gray. The probabilities of randomly choosing a marble of a given color are shown below.
Answer:
Hi I have this same question but I'm torn between certain and very likely it is on of those options.
Step-by-step explanation:
Alyssa is a waitress at a restaurant. Each day she works, Alyssa will make a
guaranteed wage of $20, however the additional amount that Alyssa earns from tips
depends on the number of tables she waits on that day. From past experience, Alyssa
noticed that she will get about $15 in tips for each table she waits on. How much
would Alyssa expect to earn in a day on which she waits on 10 tables? How much
would Alyssa expect to make in a day when waiting on t tables?
Earnings for 10 tables:
Earnings for t tables:
Answer:
$170
20+15t
Step-by-step explanation:
she already makes $20 in a day and then you add the 10 times $15 in tips which makes 170.
for the equation, she makes 20 so you add it to 15 times t which is the hypothetical number of tables
Any help is appreciated. 10 points.
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
А. The lines intersect at one point.
В. The lines are parallel
C. The lines are the same line.
D. The lines cannot be graphed.
Solve for x.
11.03 = 8.78 + 0.02x
Answer:
112.5
Step-by-step explanation:
11.03-8.78=0.02x
2.25=0.02x
x=2.25/0.02
x=112.5
How do you find the height of a cone without given volume? Radius is 9
What is the degree of 12x^4 -8x+ 4x^2 - 3?
Answer:
4
Step-by-step explanation:
In this problem, we are asked to determine the degree of the given expression 12X4 - 8X + 4X2 -3. To answer this, first, we need to arrange the mathematical expression in descending order with respect to its power such as the new arrangement will become 12x4 + 4x2 -8x -3. The degree is clearly visible and it is 4. Therefore, the answer to this problem is is 4.
help me please i dont understand parrelagrams
Answer:
rhombus
Step-by-step explanation:
is it multiple choice?
Answer:
parallelogram
Step-by-step explanation:
Your welcome!
-33 = -18 + b
i also need the work for it
Answer:
Solution given:
-33 = -18 + b
b=-33+18=-15
b=-15 is your answer
Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure of angle 6?... Help
Answer:
54°
Step-by-step explanation:
Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.
So angle 6 is 54°.
Alternative
Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.
So angle 4 + angle 6 = 180°.
Find angle 4 first:
180° - angle 3 = angle 4
180° - 54° = 126°
So the measure of angle 6 is
180° - 126° = 54°
Answer:
54 degrees
Step-by-step explanation:
What is the value of X
enter your answer in the
box X=
Answer:
What is the value of X I would say it is 52
A number is added to ⅔ of itself.
If the same number is doubled,
write down the final expression.
Answer:
4/3
Step-by-step explanation:
⅔ + ⅔ = 4/3
The sum of two numbers is 90. Their difference is 18. Find
the numbers.
Answer:
54 and 36.
Step-by-step explanation:
What is f(x)=2x-1 if x=0
Answer:
[tex]f=\frac{2x-1}{x}[/tex]
Step-by-step explanation:
A circular flower bed is 17m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for (pie sign).
The area of the sidewalk is (insert answer) m(squared)
(Round to the nearest whole number as needed.)
Answer:53.38 is the answer
Step-by-step explanation:
The radius is always half of the diameter so half of 17 is 8.5. 8.5x3.14 is 26.69. Then you add 26.69+26.69 to get the answer. (I’m not positive that this is correct)
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
7, 13, 16
Answer:
This is an Acute triangle because all 3 angles are less than 90
Create a linear equation with no solution. Use pictures and words that show your equation does not have a solution
Answer:
2x+4=2x+7
Step-by-step explanation:
2x+4=2x+7
-4 -4
2x=2x+3
-2x -2x
0=3
Zero does not equal to 3 so there's no solution
Given that x = 9 m and θ = 33°, work out AB rounded to 3 SF.
Answer:
Step-by-step explanation:
AB = 9tan(33), which is approximately 5.84 (rounded to 3 significant figures)