Answers
Answer:
Step-by-step explanation:
This solid figure is a cone,
Volume=(πr²H)/3 cubic units
r ----> radius
H -------> height
Related Questions
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answers
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answers
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
Simply the expression. (7x^2y^3)^4
Answers
Answer:
2401x^8y^12
Step-by-step explanation:
You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.
This one and 1 more !!!
Answers
Answer: 30!
Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.
Given the following functions, find the indicated values.
Answers
Answer: Please provide an image of what you are talking about so that we can help you more.
Find the height of a prism with volume 720cm3 and base area 45cm2
Answers
Answer:
The height is 16 cm
Step-by-step explanation:
It's just v/b
720/45=16
The height is 16 cm
The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.6.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?
Answers
0.4*0.6 this gives
= 0.24
Solve for x: 4(x + 2) = 3(x − 2) PLEASE HURRY
Answers
x=-14
Answer:
X= -14
Step-by-step explanation
4(x + 2) =3(x-2)
4x + 8 = 3x - 6
4x - 3x= - 8 - 6
X = - 14
What is the slope of the line x= -1
plz help
who ever answers first will get brainliest
Answers
Answer:
Step-by-step explanation:
If the line has an equation of x = (some number), this is a vertical line. The slope is undefined and all the points on the line have an x-coordinate of that (some number). For example, if x = -2, then all points along this line will have an x-coordinate of -2, making it a vertical line.
Answer:
its undefined, since its a vertical line and is parallel to the y-axis it is passes though all points with a x-axis of -1
Step-by-step explanation:
Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14
Answers
Answer:
1. x=3, y=1
2. x=1, y= 1
3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)
4. x=1 , y=2
Step-by-step explanation:
This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answers
Answer:
300 Backpacks each week]
Step-by-step explanation:
dont have an explanation srry but the answer is totally 300 backpacks a week
Answer:
30
Step-by-step explanation:
Help me pleasee for this equation
Answers
Answer:
11.3 (C)
Step-by-step explanation:
sqrt(12^2 - 4^2) =
sqrt(144 - 16) =
sqrt(128)-->
11.3 (C)
Answer:
11.3 ft
Step-by-step explanation:
We have a right triangle with the hypotenuse of 12 and a leg of 4
Using the pythagorean theorem
a^2 +b^2 = c^2
4^2 + b^2 = 12^2
16 +b^2 = 144
Subtract 16 from each side
b^2 =144-16
b^2 =128
Taking the square root of each side
sqrt(b^2) = sqrt( 128)
b =11.3137085
If sin x= (sqrt 2)/2 and tan x=-1 what is sec x
Answers
Answer:
[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].
In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us
[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]
We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of
[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]
Correct answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
$39
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 30 × 10/100 × 3
I = $9
She have = 30 + 9 = $39
i am having trouble i need help.
Answers
Answer:
A. y=2x-2
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
to find the slope intercept formula u need the slope, the y-intercept, and the X and Y
1st step: find the slope and to find the slope, pick any two points from the line
point 1: (2,2)
point 2: (3,4)
slope= y2-y1/x2-x1
4-2/3-2=2/1 or 2
the slope intercept form is y=mx+ b, so now substitute the variables for the known
y=2
x=2
m=2
2=2(2)+b
solve the equation
2=4+b
subtract 4 on both sides
b=-2
the slope intercept form is y=2x-2
Theresa has a rectangular pool 30 ft long, 15 ft wide, and 4 ft deep. Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water.
Nancy has a circular pool with a diameter of 24 ft and a depth of 4 ft. Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.
If Theresa and Nancy both fill their pools 6 inches from the top of the pool, determine and state who paid more to fill her pool. [ 1 ft3 water = 7.48 gallons]
Answers
Answer:
Step-by-step explanation:
Both pools were filled 6 inches from the top.
12 inches = 1 feet
6 inches = 6/12 = 0.5 foot
Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is
Volume = length × width × height
Height filled is 4 - 0.5 = 3.5 feet
Volume = 30 × 15 × 3.5 = 1575 ft³
Recall, 1 cubic feet = 7.48 Us gallons
Therefore,
1800 cubic feet = 1575 × 7.48 = 11781 gallons of water
Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is
3.95 × 11781/100 = $465.35
Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is
Volume = πr²h
Diameter = 24
Radius = diameter/2 = 24/2 = 12 ft
Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes
1582.56 × 7.48 = 11837.55 gallons of water.
Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.
It means that the amount she paid to fill her pool is
200 × 11837.55/6000 = $394.59
Therefore, Theresa paid more to fill her pool.
The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog is randomly chosen to lead the parade, what is the probability that a medium-sized dog will be chosen
Answers
Answer:
0.3
Step-by-step explanation:
Given:
Number of small dogs = 18
Number of medium-sized dogs = 12
Number of large dogs = 10
To find: probability that a medium-sized dog will be chosen
Solution:
Probability refers to chances of occurrence of some event.
Probability = number of favourable outcomes/total number of outcomes
Total number of dogs = 18 + 12 + 10 = 40
Number of medium-sized dogs = 12
So,
probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = [tex]\frac{12}{40}=0.3[/tex]
Answer:
0.3
Step-by-step explanation:
Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.
Answers
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree
No, I do not agree because:
The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.
No, do not agree because:
A cylinder has two congruent bases but it is not a polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons
Hope it will find you well.
The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
The measures are 2.5 deg and 177.5 deg.
Step-by-step explanation:
The ratio of the measures of larger angle to the smaller angle is 71:1.
71k + k = 180
72k = 180
k = 180/72
k = 2.5
71k = 71 * 2.5 = 177.5
Answer: The measures are 2.5 deg and 177.5 deg.
What is the slope of the line graphed in the picture
Answers
Answer:
-1
Step-by-step explanation:
Take the two points
(-2,4) and (4,-2)
And we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-4)/( 4 - -2)
=(-2-4)/(4+2)
= -6/6
= -1
Urgent please solve quickly please!
Solve the system of linear equations by substitution
-x+y=7
6x-y=-7
Answers
Answer: x = 0, y = 7
-x+y=7
add x to both sides
y=x+7
plug this in for y in the other equation
6x-(x+7)=-7
simplify
6x-x-7=-7
simplify
5x-7=-7
add 7 to both sides
5x=0
divide both sides by 5
x=0
plug in to one of the equations to find y
-(0)+y=7
y=7
Therefore, x=0 and y=7.
Hope this helps!
Answer:
x = 0. y = 7. (0,7)
Step-by-step explanation:
-x+y=7
+x. +x
y = x +7
6x-y= -7
6x - (x + 7) = -7
6x - x - 7 = -7
5x -7 = -7
+ 7. +7
5x = 0
÷5. ÷5
x = 0
-x + y = 7
0 + y = 7
y = 7
helppppppppppppppp meeeeeee
Answers
1x1x1. That's pretty much the definition of
Answer: 1 cubic foot, last choice
How many times larger is the volume of a sphere if the radius is multiplied by 5?
Answers
Answer:
Brainliest please
The Volume is 125 times bigger.
Step-by-step explanation:
V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.
If you multiply the radius by 5 the it changes to
V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]
And when you simplify you get
V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]
And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the
newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are
state quarters. Based on this sample, how many of the quarters in the full bag were likely to
be eagle quarters?
300
100
400
200?
Answers
Answer:
400
Step-by-step explanation:
The 200 quarters in the full bag were likely to be eagle quarters.
What is the ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
Given that:-
Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are thenewer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 arestate quarters. Based on this sample, how many of the quarters in the full bag were likely tobe eagle quartersWe can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-
E + S = 500
2a + 3a = 500
5a = 500
a = 100
E = 2a
E = 2 x 100 = 200
Therefore 200 quarters in the full bag were likely to be eagle quarters.
To know more about ratios follow
https://brainly.com/question/2328454
#SPJ2
Samantha’s mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkway on two sides of the pond. Below is a picture of the pond.
a. Create an equation that can be used to solve for the width, x, of the walkway.
b. Use any method (other than graphing) to figure out how much the width, x, of the walkway will be.
Answers
Answer:
A- 3x2= 6
6 divided by 2 is 3
B- flip it around with division first
Step-by-step explanation:
Which of the following equations will yield the surface area of cylinder?
Answers
Answer: [tex]A=2\pi rh+2\pi r^2[/tex]
The guy on the top is rite. ☻♥
Which function represents the graph of y=x^2 after it has been translated 4 units to the left?
options:
y=(x-4)^2 or y=(x+4)^2
Answers
Answer:
oh.. maybe you can install photomath
Answer:
y=(x+4)^2
Step-by-step explanation:
A trick I use is if it is a plus sign then it goes left, if it is a minus sign then it goes right.
Which angle is coterminal to 2pi/3
Answers
the correct answer is -4π/3.
A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are:
(-2.5, 3), (2.5, 3), (6.5, 0), (2.5, -3), (-2.5, -3), (-6.5, 0). How long is each side of the park?
Answers
Answer:
5 unit
Step-by-step explanation:
by taking the two points and calculating their distance
length of each side of the park=
sq.rt[(6.5-2.5)^2 + (0-3)^2]
=5
Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.
Answers
Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.
Step-by-step explanation:
2 * 1.5 * 2= 6
Answer:
B
Step-by-step explanation:
its B
