Answer:
[tex] \sf{ \boxed{ \bold{1697.14}}}[/tex]Step-by-step explanation:
Given,
diameter ( d ) = 12 in
height ( h ) = 15 in
finding the radius of a cylinder
Radius is just half of diameter.
Radius ( r ) = 12 / 2 = 6 in
finding the volume of a cylinder having radius of 6 in and height of 15 in
Volume of a cylinder = [tex] \sf{\pi \: {r}^{2} h}[/tex]
⇒[tex] \sf{ \frac{22}{7} \times {6}^{2} \times 15}[/tex]
⇒[tex] \sf{ \frac{22}{7} \times 36 \times 15}[/tex]
⇒[tex] \sf{1697.14} \: in[/tex]
Hope I helped!
Best regards!!
Answer: 1697.1[tex]in^{3}[/tex]
Step-by-step explanation:
diameter= 12
radius= [tex]\frac{diameter}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6
height = 15
volume =π[tex]r^{2}[/tex]h
[tex]\frac{22}{7} X 6^{2} X 15[/tex] =1697.1[tex]in^{3}[/tex]
You roll a die 3 times, what is the probability that each time you will roll at least a 5?
Answer:
3/6
Step-by-step explanation:
Evaluate -1 -3- (-9) + (-5).
Answer:
The evaluated answer to the given expression is 0.
Step-by-step explanation:
-1 - 3 - (-9) + (-5)
Subtract -1 from 3.
-4 - (-9) + (-5)
Distribute the negative to -4.
-4 + 9 + (-5)
Add 9 to -4.
5 + (-5)
Add 5 to -5.
0
Simplify (36/81) raised to the power -1/2
Step-by-step explanation:
Hey, there!!
I hope you mean,
[tex] \frac{ - 1}{2} \: means \: \sqrt{} [/tex]
and
[tex]36 = {6}^{2} \: and \: 81 = {9}^{2} [/tex]
[tex]so \: \: \sqrt{ \frac{ {6}^{2} }{ {9}^{2} } } [/tex]
[tex]or \: ( { \frac{ {6}^{2} }{ {9}^{2} }) }^{ \frac{ - 1}{2} } [/tex]
so, the answer is 6/9 or, 2/3.
Hope you are searching this...
Show the following conjectures are false by finding a counterexample.
13. All prime numbers are odd.
14. If the product of two numbers is positive, then the two numbers must both be positive.
15. If the sidewalk is wet, then it has been raining.
''All prime numbers are odd."
That is incorrect because if we consider the smallest odd number, 2, is an even number. We can say that except 2, all prime numbers are odd.
14. section is wrong. For example, both numbers can be negative, so when we multiple these two, it will equals a positive value.
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh to
pick up 7 more people and drop off 5, and then at Cleveland to pick up 4 more people
and drop off 8, and arrive at Philadelphia 20 hours later. How old is the bus driver?
If I'm correct im sure I'd be 41
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh. the bus driver is 41 old.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If you drove a bus with 43 people on board from Chicago and stopped at Pittsburgh.
To pick up 7 more people and drop off 5,
So, 43 + 7
= 50 -5
= 45
then at Cleveland to pick up 4 more people and drop off 8, and arrive at Philadelphia 20 hours later.
= 45 + 4
= 49 - 8
= 41
Therefore, the bus driver is 41 old.
Learn more about the unitary method;
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Solve for w -24=-3w+21
Answer:
w = 11.25
Step-by-step explanation:
To solve this problem, we are going to move all of the terms containing the variable w to the left side of the equation and all of the constant terms (ones with numbers only) to the right side of the equation.
w - 24 = -3w + 21
To do this, we should first add 24 to both sides of the equation.
w - 24 + 24 = -3w +21 + 24
If we simplify, we get:
w = -3w + 45
Next, we should add 3w to both sides of the equation.
w + 3w = -3w + 3w + 45
4w = 45
Finally, we can divide both sides by 4.
4w/4 = 45/4
w = 11.25
Hope this helps!
7m + 3mn when m = 8 and n = 14
Answer:
392
Step-by-step explanation:
If we have the expression [tex]7m+3mn[/tex] and we know the values of m and n, we can just substitute inside the expression and solve.
[tex]7\cdot8 + 3\cdot8\cdot14\\\\56+336\\\\392[/tex]
Hope this helped!
Answer:
392 is the correct answer
Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)=
Answer:
1/10
Step-by-step explanation:
9/10+(-4/5)
= 9/10-4/5
=9/10-8/10
=1/10
The simplified form of the expression as a fraction is 1/10.
We have,
Expression:
9/10 + (-4/5)
Remove the parenthesis.
9/10 - 4/5
Simplify the fraction.
(9 - 8)/10
1/10
Thus,
The simplified form of the expression is 1/10.
Learn more about expressions here:
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A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison. A bison is 10 miles per hour faster than a deer. A deer is 0.66 miles per hour faster than a bison. A bison is 0.66 miles per hour faster than a deer.
Answer:
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Answer:
A bison is 10 miles per hour faster than a deer.
i took the assignment
Given the function ƒ(x ) = 3x + 1, evaluate ƒ(a + 1).
Answer:
[tex]\Huge \boxed{3a+4}[/tex]
Step-by-step explanation:
The function is given.
[tex]f(x)=3x+1[/tex]
To find : [tex]f(a+1)[/tex]
The input for the function f(x) is (a + 1).
Replace x with (a + 1).
[tex]f(a+1)=3(a+1)+1[/tex]
Expand brackets.
[tex]f(a+1)=3a+3+1[/tex]
Simplifying.
[tex]f(a+1)=3a+4[/tex]
The crosssectional areas of triangular prism and a night cylinder are congruent. The triangular prism has a helght of 5 units, and the right cylinder height of 3 unitsconclusion can be made from the given Information? The volume of the prism half the volume of the cylinder The volume of the prism is twice the volume of the cylinder The volume of the premis equal the volume of the cylinder. The volume of the is not equal to the volume of the cylinder
Answer:
The volume of the triangular prism is not equal to the volume of the cylinder
Step-by-step explanation:
Given that:
The cross sectional area of triangular prism and a night cylinder are congruent. The term 'congruent' means when two objects or shapes are placed above each other , they should both overlap exactly.
It was given that:
The triangular prism has a height of 5 units
and the right cylinder height of 3 units
The conclusion that can be drawn from this is that:
The volume of the triangular prism is not equal to the volume of the cylinder.
This is because, they do not occur in the same family. A triangular prism is a three - dimensional shape that has identical, parallel ends and parallel faces.
A triangular prism has two triangles at it ends and three rectangular faces.
The volume of the triangular prism is calculate by using the formula:
[tex]V= \dfrac{1}{2}\times b \times h\times l[/tex]
On the other hand, a cylinder is a shape with two circular ends and a curved surface.The two circular ends are congruent and both circular end posses the same cross section from one end to the other in the cylinder.
The volume of a cylinder is calculated by using the formula:
V = πr²h
Thus, we conclude that irrespective of the nature of their congruency, since the heights are different which will definitely affects their volume, the the volume of the triangular prism is not equal to the volume of the cylinder.
Which solid figure has 10 edges?
Answer:
The answer to this question is pentagonal prism or pentagonal pyramid.
Which mathematical symbol would best fill in the blank to compare the two real numbers?
Answer:
<
Step-by-step explanation:
If we compare the 2 values
[tex]\sqrt{7}[/tex] ≈ 2.65
[tex]\frac{14}{5}[/tex] = 2.8
Thus we can see that 2.65 is less than 2.8, then
[tex]\sqrt{7}[/tex] < [tex]\frac{14}{5}[/tex]
Someone help thanksss
Answer:
-9x³(x+3)(x-7)
Step-by-step explanation:
-9x^5+36x^4+189x³=
-9x³(x²-4x-21)=
-9x³(x+3)(x-7)
( solving proportions ) solve for x .
Answer:
Your would need too add and subtract and find the least common multipule
X= 72/5 =14.400
Answer:
14.4
Step-by-step explanation:
By multiplying each side by 9x, you cancel out the denominators on each side. On the left what you have left is 9 x 8. On the right you have 5x. You can figure out the rest of the work for yourself. :)
Graph x≥−1, plz amswer. from khan
Draw a number line. Plot -1 on the number line and make this a filled in circle. Shade to the right of the filled in circle to indicate the set of values x such that [tex]x \ge -1[/tex]
So x could be -1 or it could be larger. The fact that x = -1 is possible is why we have a closed or filled in circle (instead of an open hole) at this endpoint.
The formula for the area of a triangle is A = 12bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 32 cm2 and the height is 4 cm?
Answer:
The base is 16 cm long.
Step-by-step explanation:
A = 1/2 * bh, we know that A = 32 and h = 4. We are solving for b so we can plug A = 32 and h = 4 into the equation to solve for b.
A = 1/2 * bh
32 = 1/2 * b * 4
32 = 2b
b = 16cm
Question 4
20 pts
Graph the points X(-4,5) and Y(1,-1) on the coordinate plane. What type of
slope would the segment XY have?
O positive slope
O undefined slope
O negative slope
O zero slope
Answer:
Negative slope Hopefully
Step-by-step explanation:
Slope formula : (5 - (-1)) / (-4 - 1)
6/-5 = a negative slope
Find mZPQR.
help asap
======================================
Work Shown:
Angle PQR = (far arc - near arc)/2
2x+72 = ( (2x+252) - (2x+108) )/2
2x+72 = 144/2
2x+72 = 72
2x = 72-72
2x = 0
x = 0/2
x = 0
-------------
Angle PQR = 2x+72
Angle PQR = 2(0)+72
Angle PQR = 72 degrees
Jimmy has 2 times as many twenty-five paisa coin as fifty-paisa coins . If he has total of Rs. 3.00, how many coins of each kind does he have ? Please answer will mark you the brainest!
Answer:
x = 6
y = 3
6 twenty-five paisa coin
3 fifty-paisa coins
Step-by-step explanation:
x -----> twenty-five paisa coin
y -----> fifty-paisa coins
0.25x + 0.5y = 3.00 per 100
x = 2y
25x + 50y = 300
x = 2y
25(2y) + 50y = 300
50y + 50y = 300
100y = 300
y = 300/100
y = 3
x = 2y
x = 2(3)
x = 6
Write 1/64 as an expression with a negative exponent other than -1.
Answer:
[tex]8^{-2}[/tex]
Step-by-step explanation:
Remember, if there is a negative within the power sign, you must put the power and base under 1:
8^-2 = 1/(8^2).
Simplify:
1/(8^2) = 1/(8 * 8) = 1/(64)
1/64 = 1/64, ∴ [tex]8^{-2} = 1/64[/tex]
help me plz and ty....
Answer: c
Step-by-step explanation:
The two angles combine to form a straight angle which is 180 degrees. Therefore, the two angles are supplementary.
need help ASP. find the inverse function of f(x)=3x-4
Answer:
f (x) = 1
substitute 1 for x
f (1) = 3 (1) - 4
= 3 - 4
= -1
Answer:
[tex]y = \frac{ x + 4}{3} [/tex]
Step-by-step explanation:
Let f(x) =y
y= 3x-4
[interchanging variables]
x=3y-4
[making y the subject]
3y=x+4
Therefore the inverse of the function is
[tex]y = \frac{x + 4}{3} [/tex]
Jayden is a waiter at a restaurant. Each day he works, Jayden will make a guaranteed wage of $30, however the additional amount that Jayden earns from tips depends on the number of tables he waits on that day. From past experience, Jayden noticed that he will get about $14 in tips for each table he waits on. How much would Jayden expect to earn in a day on which he waits on 16 tables? How much would Jayden expect to make in a day when waiting on
Answer:
$254
$30 + $14x
Step-by-step explanation:
Jayden:
Guaranteed wage= $30
Tips per table = $14
Number of tables = 16
Total revenue = fixed revenue + variable revenue
Fixed revenue= $30
Variable revenue change with quantity= $14 × number of tables Jayden waits on
Total earnings of Jayden for the day = $30 + $14(16)
= $30 + $224
= $254
When Jayden waits on x number of tables
Total earnings of Jayden for the day = $30 + $14(x)
= $30 + $14x
Where x = number of tables Jayden waits on
Answer:
$254
30 + 14t
Step-by-step explanation:
Write the equation for a parabola with a focus at (-2,5) and a directrix at y=3.
Answer:
(x+2)²=4(y-4)
or y=1/4 (x+2)²+4
Step-by-step explanation:
directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :
(x-h)²=4p(y-k)
vertex(h,k) : the vertex is half way between the focus and the directrix
y(vertex)=y(focus)+directrix/2
y=5+3/2 ⇒8/2=4
x is the same as the c of the focus =-2
vertex (-2,4)
to find the distance (p) which is the distance between the vertex and focus
p=5-4=1
substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)
(x-(-2)²=4(1)(y-4)
(x+2)²=4(y-4)
Carlo used this number line to find the product of 2 and −3. A number line going from negative 7 to positive 3. An arrow goes from negative 2 to negative 4, and from negative 4 to negative 6. What errors did Carlo make? Select two options.
Answer:
The errors are;
a. negative 4 to negative 6
b. negative 2 to negative 4
Step-by-step explanation:
The number line is the mathematical representation of numbers in the horizontal line or the x-axis.
The result of the multiplication of a positive 2 and a negative 3 is;
2 x -3 = -6 , gives a negative 6.
So the number line should scale to accommodate the operands and the result, which is from negative 7 to positive 3, in the option given.
Answer:
the answer is a and c :)
Step-by-step explanation:
Three Bears
In the land of Plentiful Honey, lived three bears: Papa
Bear, Mama Bear and Baby Bear. They had three pots
of honey: one large, one medium, and one small. One
day they found themselves carrying the pots of honey
down a path. Papa was carrying the medium pot, while
Mama was carrying the small pot, and Baby was
carrying the large pot. This was clearly inequitable and they decided to trade pots, so that
each was proportional to the size of the bear. It may seem there is a simple solution to their
dilemma, however, the rules for transferring pots in the land of Plentiful Honey are quite
complicated. They are:
a) Only one pot of honey can be passed at a time.
b) fa bear is holding two pots of honey, only the smaller pot may be transferred.
• A honey pot may not be transferred to a bear that is holding a smaller pot.
d) Pots may not be set on anything, such as the ground or a stump.
Diagram or explain the sequence of the transferring of honey pots, so that Papa Bear has the
large pot, Mama Bear the medium pot, and Baby Bear the small pot.
Answer:
m→B, s→P, m→M, s→M, l→P, s→B
Step-by-step explanation:
The initial state is ...
(Baby, Mama, Papa) = (Large, Small, Medium)
The large pot can only be transferred from someone holding only that pot, and only to someone holding no pots. The small pot can go anywhere any time.
Transfer the medium pot to Baby.
(B, M, P) = ({L, M}, S, –)
Transfer the small pot to Papa.
(B, M, P} = ({L, M} –, S)
Transfer the medium pot to Mama.
(B, M, P) = (L, M, S)
Transfer the small pot to Mama.
(B, M, P) = (L, {M, S}, –)
Transfer the large pot to Papa.
(B, M, P) = (–, {M, S}, L)
Transfer the small pot to Baby.
(B, M, P) = (S, M, L) . . . . . . desired end condition
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
Answer:
Regular price for 1 ticket = $30
Step-by-step explanation:
Given that a total of 4 people went to the carnival.
Total bill for the tickets = $100
Discount coupon used = $20
To find:
Cost of Regular price ticket = ?
Solution:
First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.
If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon
Regular price for 4 tickets = 100 + 20 = $120
So, regular price for 1 ticket = Regular price of 4 tickets divided by 4
[tex]\text{Regular price for 1 ticket }= \$\dfrac{120}{4} = \$\bold{30}[/tex]
So, the answer is:
Regular price for 1 ticket = $30
Which value of n makes the equation true?
-1/2n = -8
A. -16
B.-4
C.4
D.16
Answer:
16
Step-by-step explanation:
Lets do a Step-by-step:
You must Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
Hope this helps
At Little Rock School 476 students ride their bike to school. This is 85% of the total
students in the school. How many total students are in the school?
Answer:
560 students
Step-by-step explanation:
85/100=476
x= 476 x 100/85 x=560
Answer:c560 students is the answer your welcome!!!!!
Step-by-step explanation: