Answer:
[tex]V=20.85\ m^3[/tex]
Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,
[tex]V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3[/tex]
So, the volume of the vessel is [tex]20.85\ m^3[/tex].
2/3(x+6)=-8 whats the value of x?
Answer:
x=-18
Step-by-step explanation:
Answer:
The answer is -18
Step-by-step explanation:
STEP 1:
[tex]3 \times \frac{2}{3} (x + 6) = 3( - 8)[/tex]
2(x+6) = -24
______________________________________
STEP 2:
Divide both sides by 2:
[tex] \frac{2(x + 6)}{2} = \frac{ - 24}{2} [/tex]
________________________________
STEP 3:
Simplify:
[tex]x + 6 = - 12[/tex]
Subtract 6 from both sides:
[tex]x + 6 - 6 = - 12 - 6[/tex]
________________________________
STEP 4:
[tex]x = - 18[/tex]
Therefore, your answer is -18.
Ask more questions if you don’t understand! :)
Anthony is buying a new TV that is 25% off. The original price of the TV was $390.
Which answer gives the best estimate for the TV's price after the discount?
$390
$365
$300
$100
Answer:
390 well actually 389.75 but still
what is the equation of the line with a slope of -3/4 that passes through the point (4,-2)?
Answer:
y=-3/4x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=-3/4(x-4)
y+2=-3/4(x-4)
y=-3/4x+12/4-2
y=-3/4x+3-2
y=-3/4x+1
PLZZZ HURRY!
Cassie has a wood board that is 34 foot long. She wants to cut the board into pieces that are 18 foot long. Which expression will help Cassie find how many pieces she can cut?
A. 34−18
B. 34÷18
C. 18⋅34
D. 18÷34
Answer:
B
Step-by-step explanation:
You have to fill a vase 3/4 full, you have a height of 13in and a radius of 6in how much water would need to be poured in order to fill the vase. Need answer very soon, please
Answer:
Step-by-step explanation:
At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase? Follow • ... Get the right answer, fast. ... No packages or subscriptions, pay only for the time you need.
Combine the like terms to simplify the expression 16y - 7y.
Answer:
9y is the simplified expression your looking for.
Step-by-step explanation:
Evaluate if x = 2, y = 4, and z = 3.
x2 + xyz
Answer:
28
Step-by-step explanation:
If x=2 then 2x2 is 4
Plus 2x4x3= 28
Hope this helps! :D
Find the slope and y-intercept of the line represented by the table
Answer:
slope = 3, y intercept = 1
Step-by-step explanation:
Please help due today
Answer:
3 & 1
6 & 2
9 & 3
12 & 4
Step-by-step explanation:
Hope that helps!
There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole pie will he eat tomorrow?
1/36
5/36
1/3
2/3
Answer:
2/3
Step-by-step explanation:
there will be 4/6 of the pie and simplify to be 2/3
[PLEASE HELP! DUE IN 3 HOURS!]
In order to help her save money for college, Latasha's grandparents deposited $10,000 into a savings account five years ago. Latasha has not made any withdrawals or deposits since then. The interest rate on the savings account is 3.75% each year.
Using simple interest, how much interest has accrued in Latasha's savings account?
What is the total amount in Latasha's savings account?
Ken is cutting wooden pieces that each measure 2/3 ft long. If ken is cutting from a piece that measures 9 1/3 ft, how many pieces can ken cut
Answer:
14 pieces
Step-by-step explanation:
Given that the total length available is 9 1/3 ft long and the pieces being cut is 2/3 ft long, the number of pieces that may be cut may be computed by dividing the total length by the length of each piece
= 9 1/3 / 2/3
= 28/3 * 3/2
= 14 pieces
If Mr.Novak gives 9 packs of paper to a group of 5 students. If the group shares the paper equally. How many packs of paper does each student get? Write the answer as a mixed number.
Each student gets 1 whole pack of paper and 4/5 of a pack.
What is a division in mathematics?
Division is a mathematical operation that is used to determine the number of times one number, called the dividend, is contained within another number, called the divisor. The result of a division operation is called the quotient.
When a group of students share a certain number of items equally, it means that each student will receive the same number of items. To find out how many items each student will receive, we need to divide the total number of items by the number of students.
In this case, Mr. Novak gives 9 packs of paper to a group of 5 students. To find out how many packs of paper each student gets, we need to divide 9 by 5. We can use long division or use a calculator to find that 9 divided by 5 is 1 with a remainder of 4. So, each student will get 1 whole pack of paper, and the remaining 4 packs will be shared among the students. This can be written as a mixed number, which is a combination of a whole number and a fraction. In this case, the mixed number would be 1 4/5.
Hence, each student gets 1 whole pack of paper and 4/5 of a pack.
To learn more about the division in mathematics, visit:
https://brainly.com/question/28119824
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Teri earned $18.25 an hour at the semiconductor plant. The payroll deductions reduced her paycheck by $182.50. If her first weekly paycheck was at least $547.50 after the deductions, how many hours did she work that week?
Answer:
40 hours
Step-by-step explanation:
did 18.25*40 then subtracted 182.50 and it equaled 547.50
Five friends share 6 snacks equally.
How many fruit snacks will each friend get?
Explain with examples.
Answer:
A
Step-by-step explanation:
what is the range of possible sizes for x?
Answer:
0.5 < x < 15.5
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
Tell whether the ordered pair is a solution of the system of linear equations.
8x+2y=2
2x+y=15
(1,3)
Answer:
Step-by-step explanation:
8x + 2y = 2
-4x - 2y = -30
4x = 28
x = 7
14 + y = 15
y = 1
(7, 1)
Natalie bought a 3 pack of erasers for $1.47. At the same rate, how much would a 10- pack of erasers cost?
Answer:
A pack of ten would cost $4.90
Hope this helps.
10 - 2.5x > 35
I need help
Answer:
x<-10
Step-by-step explanation:
10-2.5x>35
2.5x>10-35
2.5x>-25
x>-25/2.5
x>-10
x<-10
Answer:
x < -10
Step-by-step explanation:
-2.5x > 35-10
-2.5x > 25
-2.5x > 25/-2.5
x > -10
You have to switch the sign because you divided it by negative
x<-10
Mrs. Rogers sold 48 out of 80 crafts at the fair. What percent of her crafts did she sell? ~Plz answer like ASAP!!thank you :)) ~
Answer:
38.4
38.4 is 48% of 80
Step-by-step explanation:
What is 48% of 80?
Y is 48% of 80
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 48% * 80
Converting percent to decimal:
p = 48%/100 = 0.48
Y = 0.48 * 80
Y = 38.4
Observe and record the coordinates of the transformation shown below. How can this transformation be represented algebraically?
Answer: ( x + 7, y - 3)
Step-by-step explanation:
solve for the missing side: simplify the radical
Answer:
[tex]x=8\sqrt{5}[/tex]
Step-by-step explanation:
I will assume the following:
You know how to use the quadratic formulaYou know how to simplify radicalsYou know how to use the pythagorean theorem.The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.
Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)
Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.
Now with the big triangle. I will set up one last equation. See attachment 4.
Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.
Guys I need this in like 3 mins help
Me
Answer:
A) M =5
B= $2
hope it helped!
Step-by-step explanation:
I think.
I NEED HELP FAST PLEASE :)
Answer:945
Step-by-step explanation:
In a final exam, need this rn (25 points)
Megan purchased a new gadget for her technology hobby. She plans to sell it sometime in the future; however, its value depreciates monthly. The expression shows the depreciated sales value of the gadget:
2,020 − 22m
What does the coefficient of the expression represent?
a.The number of months Megan will wait to sell the gadget
b.The monthly depreciation value of the gadget
c. The amount of money Megan will get when she sells the gadget
d.The original value of the gadget
Answer: B
Step-by-step explanation:
Answer:
the answer to this question would be B
In 10 years time a father will be twice as old as his daughter. 10 years ago he was six times as old as his daughter. How old is each now?
Answer: the daughter is 15 and the dad is 40
i think unless my math is wrong
Step-by-step explanation:
Solve for x. (photo included)
The product of 2.5 and a number is 10. First write an equation to describe the situation.
Answer:
2.5 X z = 10
z stands for the unknown number that is multiplied by 2.5 to equal 10
can somebody help with this no fake answers please im kinda low
In a survey of the students in a class, it was found that 9 students worked during summer holidays. If this represents 25% of the class, how many students are there in the class?
Step-by-step explanation:
let the total students be x then
25/100x=9
x=9×100/25
x=9×4
x=36
so total students are 36
Cierra spent $3.48 on a dozen donuts. Find the
unit rate. (The cost for ONE donut!)
Answer:
0.29
Step-by-step explanation:
One dozen = 12
12 donuts for 3.48
3.48/12 = 0.29 per donut