The total volume of the solid shape is 550π/3 cm³.
To find the total volume of the solid shape, we need to calculate the volumes of the cone and the hemisphere separately and then add them together.
1. Volume of the cone:
The formula for the volume of a cone is V_cone = (1/3) * π * r^2 * h, where r is the radius of the cone's base and h is the height of the cone.
Given that the base diameter is 10 cm, the radius of the cone is 10/2 = 5 cm.
Plugging in the values, we have:
V_cone = (1/3) * π * (5 cm)^2 * 12 cm = 100π cm³.
2. Volume of the hemisphere:
The formula for the volume of a hemisphere is V_hemisphere = (2/3) * π * r^3, where r is the radius of the hemisphere.
Since the diameter of the hemisphere is 10 cm, the radius is 10/2 = 5 cm.
Plugging in the values, we have:
V_hemisphere = (2/3) * π * (5 cm)^3 = 250π/3 cm³.
Finally, to get the total volume of the solid shape, we add the volumes of the cone and the hemisphere:
Total volume = V_cone + V_hemisphere = 100π cm³ + 250π/3 cm³ = (300π + 250π)/3 cm³ = 550π/3 cm³.
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– 7x+y=4
find the slope & y intercept
Answer:
Slope: 7
Y-Intercept: (0,4)
Step-by-step explanation:
Use the slope-intercept form (y=mx+b) to find the slope and y-intercept.
Answer:
Slope = 7 Y Intercept = (0, 4)
Step-by-step explanation:
Slope:
Convert to slope intercept form
-7x + y = 4
Add 7x to both sides
7x + y + 7x = 4 + 7x
Simplify
y = 7x + 4
Slope = 7
y intercept:
y = mx+b
Solve
y = 7*0+4
Simplify
y = 4
y intercept = (0, 4)
Help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer would be 50.
Step-by-step explanation:
pls help have to turn in soon
Answer:
The one you already have selected along with
428
Step-by-step explanation:
anything to the 0 power is itself
shiva bought two motorbikes for Rs 80,000. He sold them to attain 5% profit on one
and 5% loss on other. Calculate his loss or gain percent if the selling price of the two
bikes are same.
Answer:
WAIT
Step-by-step explanation:
10 2/3 ÷4/9 +5 (please help , its timed)
Answer:
29 i think
Step-by-step explanation:
Answer:
29
Hope this helps
WHAT IS THE EQUATION OF LINE A
Answer:
what is your question?
Someone help me please!
I’ll give brainlest
Answer:
i think its D sorry if its wrong
Step-by-step explanation:
Answer:
it`s D
Step-by-step explanation:
You want to build a fence for your square backyard. The area of the fenced in yard is 500 ft. If you are using the wall of the house as one side of the fence, how many feet of fencing will you need if the base is x ft and the length is (x+5) ft?
To fence in a square backyard with an area of 500 ft², utilizing the wall of the house as one side, you would need a total of x + 3(x+5) feet of fencing.
Since the backyard is square, all four sides have equal lengths. Let's assume the length of each side is x. The area of a square can be calculated by multiplying the length of one side by itself, so we have x * x = x². Given that the area of the fenced-in yard is 500 ft², we can set up the equation x² = 500. Solving for x, we find that x ≈ 22.36 ft (rounded to two decimal places).
Now, we know the length of one side (x), and we need to find the total amount of fencing required. The three sides that do not utilize the wall of the house will each have a length of (x+5) ft, as mentioned in the question. Therefore, the total length of these three sides will be 3(x+5) ft.
Since the wall of the house is already serving as one side, we only need to add the length of the remaining three sides. Hence, the total amount of fencing required will be x + 3(x+5) = 22.36 + 3(22.36+5) ≈ 22.36 + 3(27.36) ≈ 22.36 + 82.08 ≈ 104.44 ft (rounded to two decimal places).
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What should you do first when simplifying an expression that involved
variables with know values?
Write an equation and use it to solve for x.
Options:
x = 10 5/9
x = 9
x = 9 4/9
x = 27
Answer:
3x+2 + 6x+7 + 90 = 180
x=9
Step-by-step explanation:
Since JKL is a straight line, it equals 180
JKM + MKN + NKL = 180
3x+2 + 6x+7 + 90 = 180
Combine like terms
9x+99 = 180
Subtract 99 from each side
9x+99-99= 180-99
9x =81
Divide each side by 9
9x/9 = 81/9
x=9
STANDARD DEVIATION
In 2020, Governor Pat Reynolds is going to be running against Waterloo native Michele Bachmann. A poll by the Acme Polling company gives this result:
Reynolds: 63%
Bachmann: 37%
margin of error: plus-or-minus 5%
What is the standard deviation?
Answer:
0.1527
Step-by-step explanation:
Standard Deviation = √p × q/n
Reynolds: 63%
Bachmann: 37%
n = 100
Standard Deviation = √0.63 × 0.37/100
= √(0.02331)
= 0.1526761278
≈ 0.1527
Evaluate the function f(x) at the given numbers (correct to six decimal places) rx) = , x- 0,-0.5,-0.9,-0.95, -0.99,-0.999, -2, -1.5, -1.1, -1.01, -1.001 5x- 6 r-0.95) = r-0.99) = r-0.999) = f-1.01 - r-1.001) = Guess the value of the limit of DNE.) x) as x approaches-1, correct to six decimal places. (If an answer does not exist, enter lim
The value of f(-0.95) is 10.75, the value of f(-0.99) is 10.95, and the value of f(-0.999) is 10.995. The value of the limit of f(x) as x approaches -1 is -11, correct to six decimal places.
Given that the function is f(x) = 5x - 6.
The function is evaluated at different values of x such as
x = 0, -0.5, -0.9, -0.95, -0.99, -0.999, -2, -1.5, -1.1, -1.01, and -1.001.
Using the above values, the function is evaluated as follows:
f(0) = 5(0) - 6 = -6
f(-0.5) = 5(-0.5) - 6 = -8.5
f(-0.9) = 5(-0.9) - 6 = -10.5
f(-0.95) = 5(-0.95) - 6 = -10.75
f(-0.99) = 5(-0.99) - 6 = -10.95
f(-0.999) = 5(-0.999) - 6 = -10.995
f(-2) = 5(-2) - 6 = -16
f(-1.5) = 5(-1.5) - 6 = -13.5
f(-1.1) = 5(-1.1) - 6 = -11.5
f(-1.01) = 5(-1.01) - 6 = -11.05
f(-1.001) = 5(-1.001) - 6 = -11.005
The value of f(-0.95) is 10.75, the value of f(-0.99) is 10.95, and the value of f(-0.999) is 10.995.
Therefore, the value of the limit of f(x) as x approaches -1 is -11, correct to six decimal places.
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Calculate the equilibrium price Demand: q=10−2p Supply: q=3p Is the price elasticity of demand inelastic, elastic, or unit elastic? Old Quantity demanded: 100 New Quantity Demanded: 50 Old Price: 100 New Price: 120 A
The given demand equation is q=10−2p, while the supply equation is q=3p. When the two equations are equated, we get;10-2p = 3pp = 2The equilibrium price is thus: q = 3(2) = 6Therefore, the equilibrium price is 6.
When the quantity demanded reduces from 100 to 50, and price increases from 100 to 120, we can calculate the price elasticity of demand to determine whether demand is elastic, inelastic, or unit elastic. Using the formula, the price elasticity of demand can be found as follows:
\frac{\frac{50+100}{2}}{\frac{120+100}{2}}=\frac{75}{110}. Using the midpoint formula, the price elasticity of demand is:0.68Since the price elasticity of demand is less than one, demand is inelastic.
In summary, when demand is inelastic, a change in price will have a smaller effect on quantity demanded. When demand is elastic, a change in price will have a greater effect on quantity demanded. Unit elastic demand is when the price elasticity of demand is exactly equal to 1.In this problem, the equilibrium price was determined to be 6. From this point, the price elasticity of demand was calculated to be 0.68, which is less than 1, implying that demand is inelastic. Therefore, a change in price from 100 to 120 will have a smaller effect on quantity demanded. In this case, the price elasticity of demand is greater than zero, which implies that demand is not perfectly inelastic.
The equilibrium price is 6.The price elasticity of demand is 0.68, indicating that demand is inelastic. When the price increases from 100 to 120 and quantity demanded falls from 100 to 50, the change in price will have a smaller effect on quantity demanded because demand is inelastic.
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It takes 46 minutes for 10people to paint 3 walls. How many minutes does it take 4 people to paint 6 walls?
Answer:
10 people pain 3 walls in 46 minutes
So,
1 man can paint a wall in = 46/10 = 4.6 minutes
4 people can paint a wall in = 4.6 × 4 = 18.4 minutes.
Answer:
It takes 46 minutes for 10 people to paint 3 walls
It takes 92 minutes for 10 people to paint 6 walls (twice as long because you have twice as many walls)
you only have 4 people to paint the walls instead of 10 people
therefore it will take 2.5 times as long (10/4=2.5)
2.5*92=230 minutes
Step-by-step explanation:
This is actually a proportion question the one with the k.
So the question is about time so let's put a t first and a k on the other side.
t = k
Then let P = people and W = wall.
Let's take a look at the P first.
As the people increases, of course, the work would be faster making the time less. P go up, t go down. Meaning they're inversely proportional.
t = k/P
Next, the wall. When increasing the wall, you're increasing the work to do, and when the work increases, of course the time will also increase. Making them directly proportional.
t = (kW)/P
Using the first scenario:
46 = (k*3)/10
You will get the value of k = 460/3
Onto the second scenario:
t = kW/P; k = 460/3; W = 6; P = 4
t = ((460/3)*6)/4
t = 230 mins
What would my grade be if I have a 68 and I get a 95 on a test
Answer:
it depends if you've done alot of things in your grade if you havnt done much and that's one of your first grades then it with go up I'm just saying it will average around like 70-75 cause if you done a lot of things then it is all that averaged to 68 it won't go to 90 cause then an a- would be your average grades you've gotten
Find the equation of the line that is perpendicular to the line 3z-y=-5 and passes through the point (7, -2)
Show work for the calculations without graphing, and choose the answer from below.
a.-x+3y=-1
b.x+3y=1
c.x-3y=-1
d.3x+y=3
To find the equation of the line that is perpendicular to the line 3z - y = -5 and passes through the point (7, -2), we need to determine the slope of the given line and then find the negative reciprocal to get the slope of the perpendicular line. Using the point-slope form, we can then find the equation of the perpendicular line.
The given line 3z - y = -5 can be rewritten in slope-intercept form as y = 3z + 5. The slope of this line is 3. The slope of a line perpendicular to it will be the negative reciprocal of 3, which is -1/3.
Using the point-slope form with the point (7, -2), we have:
y - y₁ = m(x - x₁),
where (x₁, y₁) is the given point and m is the slope of the line.
Substituting the values, we get:
y - (-2) = (-1/3)(x - 7),
y + 2 = (-1/3)(x - 7).
To simplify and bring it to standard form, we can multiply both sides by 3:
3y + 6 = -x + 7,
x + 3y = 1.
Therefore, the equation of the line perpendicular to 3z - y = -5 and passing through the point (7, -2) is x + 3y = 1. Thus, option (b) is the correct answer.
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I NEEEEEEEEEEEEEEEEEEED HELP!!!!!!!!
Please help me with this, I still don’t understand the whole “paragraph proof” thing. COME ON, PLEASE!
Answer:
By the vertical Angles Theorem , < 1 = <2 and < 4 = <3. <1 = <4 is given , so <2 = <3 by the transitive property of Congruence.
Step-by-step explanation:
By the vertical Angles Theorem , < 1 = <2 and < 4 = <3. <1 = <4 is given , so <2 = <3 by the transitive property of Congruence.
The transitive property of congruence states that two objects that are congruent to a third object are also congruent to each other
1 =4
and 4=3
and 1=2
so 2=3
6) Make the following function linear using logarithms. \[ Q=f(L, K)=20 L^{2} K^{1} \]
Answer:
The linear function is given by z= log(20) +2y + x, where z=log(Q), y= log(L) and x=log(K).
Explanation:
we have given Q=f(L, K)=20 L^{2} K^{1}
Taking logarithms on both sides,
log(Q) = log(20) + 2log(L) + log(K)
let z=log(Q), y= log(L) and x=log(K)
we obtain
z= log(20) +2y + x
what does the quadratic formula indicate about the graph of a quadratic function?
The Quadratic Formula indicates whether the graph intersects the ____ and where the ____
The quadratic formula provides us with valuable information about the graph of a Quadratic function, such as its x-intercepts, vertex, axis of symmetry, and shape.
The quadratic formula can be used to determine the roots or solutions of a quadratic equation. It can also provide information about the graph of a quadratic function.
The quadratic formula provides us with two solutions for a quadratic equation. The solutions may be real or complex depending on the value of the discriminant.
The discriminant is the term under the radical in the quadratic formula and is represented by b² - 4ac. If the discriminant is positive, there are two real solutions, which means that the quadratic function intersects the x-axis in two distinct points.
If the discriminant is zero, there is one real solution and the quadratic function intersects the x-axis at one point. In this case, the quadratic function is said to have a double root or a repeated root.
If the discriminant is negative, there are no real solutions and the quadratic function does not intersect the x-axis. Instead, it has two complex solutions, which correspond to two imaginary x-intercepts.
In this case, the quadratic function opens up or down and has a minimum or maximum value, depending on the sign of the coefficient a. If a is positive, the graph opens up and has a minimum value.
If a is negative, the graph opens down and has a maximum value. The vertex of the parabola is located at the point where the axis of symmetry intersects the parabola.
The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two congruent halves. The quadratic formula can also be used to find the coordinates of the vertex of the parabola.
The x-coordinate of the vertex is given by -b/2a, which is the axis of symmetry. The y-coordinate of the vertex is obtained by substituting this value of x into the quadratic function.
Therefore, the quadratic formula provides us with valuable information about the graph of a quadratic function, such as its x-intercepts, vertex, axis of symmetry, and shape.
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In triangle ABC, EF=
a) 3cm
b) 2.5cm
c) 4cm
d) none of these
Answer:
AE/AB = EF/BC
4cm/ 8cm = EF/ 5cm.....(Criss cross)
EF = 5 x 4/8
EF = 2.5 cm
what is the value of cos(45-beta)
Answer:
Step-by-step explanation:
cos (x-y)=cos x cos y+sin x sin y
cos(45-β)=cos~45~cos~β+sin~45~sin~β
[tex]cos~45=sin~45=\frac{1}{\sqrt{2} }\\cos (45-\beta )=\frac{1}{\sqrt{2} } ~cos~\beta +\frac{1}{\sqrt{2} } ~sin~\beta \\=\frac{1}{\sqrt{2} } (cos~\beta +sin~\beta )[/tex]
the volume of a tree stump can be modeled by considering it as a right cylinder. evelyn measures its circumference as 197 in and its volume as 92650 cubic inches. find the height of the stump in feet. round your answer to the nearest tenth if necessary.
The height of the tree stump is 2.48 feet.
To find the height of the tree stump, we can use the formula for the volume of a right cylinder: [tex]V = \pi r^2h[/tex], where V represents the volume, r represents the radius, and h represents the height.
Given that the circumference of the tree stump is measured as 197 inches, we can use the formula for the circumference of a circle: C = 2πr, where C represents the circumference.
From the given circumference, we can solve for the radius, r, by dividing the circumference by 2π: r = C / (2π).
Plugging in the given circumference of 197 inches, we have: r = 197 / (2π) ≈ 31.416 inches.
Now, we can substitute the known values of the volume and radius into the volume formula: 92650 = π(31.416)^2h.
To solve for the height, h, we divide both sides of the equation by π(31.416)^2: h = 92650 / (π(31.416)^2) ≈ 29.74 inches.
Since we want to convert the height from inches to feet, we divide the height by 12: h = 29.74 / 12 ≈ 2.48 feet.
Therefore, the height of the tree stump is approximately 2.48 feet.
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If you add 14 to Nadia’s favorite number and then divide by 3, you’ll get 8.
PLEASE SHOW WORK!!!!!
Answer: x <7
Step-by-step explanation:
x-3+2<6
x-1<6 u will move the constant to the right
x<6+1
x<7
That should be right I hope this help u out :)
WHAT IS THE SLOPE OF THIS LINE?
Answer:
The slope of the line is - 3
Step-by-step explanation:
You go up 3 and over 1.. but it is a negative slope
Answer:
3
Step-by-step explanation:
I am in algebra
Also in slope intercept form it is y=3x+4
GIVE BRAINLIEST PLEASE HELPWhich line on the graph below has a slope of zero?
p
q
r
s
Answer:
R.
Step-by-step explanation: Itś the closes.
If you count them one buy one to each letter.
Find the area of the figure shown in the image.
You don't need to show your work, but steps would be appreciated.
Answer:
[tex]\huge\boxed{\sf 8100\ m\²}[/tex]
Step-by-step explanation:
The figure is made up of two shapes:
Rectangle TriangleArea of Rectangle:= length × width
Where length = 150 m, width = 20 m
= 150 × 20
= 3000 m²
Area of triangle:= 1/2(base × height)
Where base = 170 m, height = 60 m
So,
= 1/2(170 × 60)
= 170 × 30
= 5100 m²
Area of figure:= Area of rectangle + area of triangle
= 3000 + 5100
= 8100 m²[tex]\rule[225]{225}{2}[/tex]
Which graph represents the function f(x) = x1 - 22
Answer:
A
Step-by-step explanation:
Simplify the expression to a polynomial in standard form
(-2x – 1)(-3x2 + 6x + 8)
Simplifying the polynomial expression, (-2x – 1)(-3x² + 6x + 8), in its standard form would give us: 6x³ - 9x² - 22x - 8.
What is a Polynomial in Standard Form?A polynomial in standard from is an algebraic expression that has the term with the highest degree placed first.
Given:
(-2x – 1)(-3x² + 6x + 8)
Expand
-2x(-3x² + 6x + 8) -1(-3x² + 6x + 8)
6x³ - 12x² - 16x + 3x² - 6x - 8
Add like terms
6x³ - 9x² - 22x - 8
Therefore, simplifying the polynomial expression, (-2x – 1)(-3x² + 6x + 8), in its standard form would give us: 6x³ - 9x² - 22x - 8.
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A point where two or more angle bisector meet is called ?
Answer:
.IncenterStep-by-step explanation:
it shows the center
or the center of an angle