Answer:[tex]376.80\ mm^3[/tex]
Step-by-step explanation:
Given
The height of the cone is [tex]h=10\ mm[/tex]
The radius of the cone is [tex]r=6\ mm[/tex]
Volume of cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 6^2\times 10\\\\\Rightarrow V=376.80\ mm^3[/tex]
Thus, the volume of the cone is [tex]376.80\ mm^3[/tex]
Help, please!!!
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.
The probability of picking a card with an even number is ___
.
Answer:
the top is right 2/5
Step-by-step explanation:
The probability is 3 / 10.
What is Probability?The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
7, 11, 12, 13, 14, 18, 21, 23, 27, and 29
So,
even numbers are = 12, 14, 18.
The probability of picking a card = 3 / 10
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Please help!!!! There are 324 students coming.
===============================================================
Explanation:
Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.
Let x be the cost of equipment, lighting, and costumes combined.
The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.
The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.
Let's solve for x
1814.40 - x = 500
-x = 500-1814.40
-x = -1314.40
x = 1314.40
So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
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the coefficient in the term 7xy is
Answer:
The coefficient is 7
Step-by-step explanation:
The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.
Which expression is equivalent to 4f2/3 ÷ 1/4f ?
Answer:
[tex] \frac{16 {f}^{3} }{3} [/tex]Step-by-step explanation:
[tex] \frac{4f^{2} }{3} \div \frac{1}{4f} [/tex]
[tex] \frac{4 {f}^{2}}{3} (4f)[/tex]
[tex]4 \frac{4 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{2} }{3} f[/tex]
[tex] \frac{16 {f}^{3} }{3} [/tex]
Hope it is helpful....Last summer Myrtle, worked 45 hours and earned $443.70. She wanted to make at least $550 this summer. Using an inequality, find how many additional hours must she work in order to reach this goal?
Answer:
11 hours
Step-by-step explanation:
Using an inequality, find how many additional hours must she work in order to reach this goal?
From the above question, the term at least means less than or equal to and it is represented by the inequality = ≤
Hence,
Let the number of additional hours = h
Last summer Myrtle, worked 45 hours and earned $443.70.
The amount she earned per hour = $443.70/45
= $9.86
Our inequality equation is written as;
She wanted to make at least $550 this summer.
$9.86 × h ≤ $550
= 9.86h ≤ 550
h = 550/9.86
h = 55.780933063 hours
Approximately the additional hours she has to work =
55.780933063 - 45 hours
= 10 .780933063 hours
Approximately = 11 hours
Please help I'll love you forever pleasdeeee
Answer:
[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"
Step-by-step explanation:
If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.
The angles will be:
[tex]30^o[/tex]
[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])
[tex]30^o[/tex]
This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).
Solve the equation 2x-4y=4 for y
find the area of the shaded region
Answer:
9.82 inches²
Step-by-step explanation:
both areas are equally sized, so they are both half of the whole circle.
circle area : pi × r²
half of the circle area is therefore pi × r² / 2
the picture gives us the diameter of the circle, the radius is half of the diameter.
=> r = 5/2 = 2.5
=> shaded area = pi × r² / 2 = pi × (2.5)² / 2 = 9.82 inches²
WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4
Answer: Choice A)
y = -4x+1
=======================================
Explanation:
The general format of a linear equation can be written as y = mx+b
m = slope
b = y intercept
The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.
Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.
Write three ratios equal to 7/42
A. 7/42 7/49 7/56
B. 1/7 2/14 3/21
C. 2/10 3/15 4/20
D. 1/6 2/12 3/18
whoever does it i will give brainiest answer pls help
can someone PLEASE HELP ME?? i have to redo some answers on my test and i have no clue what to do!
i would really appreciate your help!
A robin was sitting 9 feet from the base of a tree. The robin flew 41 feet to the top of the tree. The tree is ___ feet tall.
Hint: Draw and label a diagram.
Answer:
41 ft
Step-by-step explanation:
Since that's the height the Robin flew to.
Answer:
its either 41 feet or 50 feet or neither cause im dum.b
Step-by-step explanation:
41 feet explanation = the bird was on the ground and was 9 feet away from the tree so the bird moved 9 feet ON THE GROUND and then flew up 41 feet
50 feet explanation = the bird was on a branch 9 feet up from the tree base and flew the rest of the 41 feet
Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= help (formulas) Is the differential equation 9ty+ety′=yt2+81 linear and homogeneous, linear and nonhomogeneous, or nonlinear?
Answer:
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]
[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]
By comparing with y′+p(t)y=g(t), we get
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous.
find the missing side
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
Which of these are factors of 16?
In geometry
Answer:
in geometry to find the factors of 16 we have to find numbers that can divide and without a number remaining 1,2,4
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
Round 1.3185 to 1 decimal place
Answer:
1
Step-by-step explanation:
Because 1.38185 is below 1.5 so it rounds to 1
In the equation y = 3x – 1, what is the value of y when x equals –3?
A. 10
B. 8
C. –1
D. –10
Answer:
D. –10
Step-by-step explanation:
Given equation:
y = 3x – 1
what is the value of y when x equals –3?
Substitute x = -3 into the equation to find y
y = 3x – 1
= 3(-3) - 1
= -9 - 1
= -10
y = -10
The correct answer is D. –10
Answer:
D).
Step-by-step explanation:
I took the test.
Which expression is equivalent to 4 (3x – 2)?
O A. 7x-2
O B. 7x + 2
O C. 12x - 2
O D. 12x - 6
O E 12x– 8
Answer:
E is the answer
hope this helps
have a good day :)
Step-by-step explanation:
What is the equation of the circle with a diameter whose endpoints are (-3,-9) and (-7,1)?
Answer:
12
Step-by-step explanation:
Answer:
( x + 5 )² + ( y + 4 )² = 29
Step-by-step explanation:
Equation of the circle is
( x - h )² + ( y - k )² = r²
( h, k ) are coordinates of the center
~~~~~~~~~~~~~~~~~~~~~
Coordinates of the center of the circle are
( [tex]\frac{-3-7}{2}[/tex] , [tex]\frac{-9+1}{2}[/tex] ) = ( - 5 , - 4 )
d = 2√29 ⇒ r = √29
( x + 5 )² + ( y + 4 )² = 29
10.
Which explanation provides the best real-world scenario of the graph?
A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Answer:
B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.
Step-by-step explanation:
The equation that models the movement of the object is:
Where,
t: time
a: acceleration due to gravity
v0: initial speed
h0: initial height
Suppose that the object falls with zero initial velocity and from a height of 38 feet.
The equation that models the problem is:
Answer:
If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds
Step-by-step explanation:
Trying to find the surface area and can not get the answer.
Answer:
Hi there user! I'll help you!
96 should be the correct answer!
Step-by-step explanation:
4 x 3 = 12
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
12 + 28 + 35 + 21 = 96
Given triangle XYZ:
Angle X = 90°
Angle Y = 45°
Angle Z=
Answer:
Hello! answer: 45
Step-by-step explanation:
90 + 45 + 45 = 180 therefore z = 45 hope that helps!
Hi there!
»»————- ★ ————-««
I believe your answer is:
45°
»»————- ★ ————-««
Here’s why:
The three interior angles of a triangle will always have a sum of 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Missing Angle:}}\\\\\rightarrow90 + 45 + x = 180\\\\\rightarrow 135 + x = 180\\\\\rightarrow 135-135 + x = 180 - 135\\\\\rightarrow \boxed{x = 45}\\\\\text{Therefore:}\\\\\measuredangle Z = 45$^{\circ}$[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP ME it's almost due
find the length of the diagonals of rectangle QRST
Answer:
11. 26
12. 111
Step-by-step explanation:
_______________
Answer:
11.since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
i really need help school end trw and i have 1 question till i am done but i dont know what it is PLEASE HELP FAST
1+1+3
Answer:
5
Step-by-step explanation:
Answer:
1+1+3=5
Step-by-step explanation:
you have three dogs and you get another dog. You now have 4 dogs. You get yet another dog so now you have 5.
what will the remainder over the divisor?
I need help wit this
what is formula of the volume of cylinder
Answer:
v = pi r² h
Step-by-step explanation:
thats the answer
ILL MARK BRAINLIEST 15 PTS!!! HURRY
If the function rule is to multiply by 4, and there is an output value of 8, what is the input value?
16
02
08
O 32
Answer:
02
Step-by-step explanation:
Answer:
Input Value = 02
Step-by-step explanation:
2 multiplied by 4 is 8.
You could also divide 8 by 4 to get 2 to check your work.
A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
What is the experimental probability of the arrow stopping over Section 1?
128
720
713
45
Section 1 Section 2 Section 3
28 36 16
Answer:
7/20Step-by-step explanation:
Frequency of Section 1 is 28 and total number of frequencies is 80.
P(Section 1) = 28/80 = 7/20Answer:
the frst person id wight!
Step-by-step explanation: