The volume of the cone is 57 cubic inches. To find the volume of the cone, we use the formula: V = (1/3)π\(r^{2}\)h, where r is the radius of the cone, h is the height of the cone, and π is approximately 3.14.
Given that the radius of the cone is 3 inches and the height is 6 inches, we can substitute these values into the formula and solve for V: V = (1/3)π(\(3^{2}\))(6), V = (1/3)π(9)(6), V = (1/3)(3.14)(54), V = 56.52 cubic inches
Rounding to the nearest whole number, the volume of the cone is 57 cubic inches.
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Andrea recorded the points she scored in her last eight basketball games:
28, 32, 47, 16, 40, 35, 38, 54.
Give an example of a statistical question you could answer using the mean or the median. Explain your reasoning.
Answer:
You could ask what her average score is using mean (which is 36.25)
Step-by-step explanation:
Answer:
You could ask what her average score is using mean (which is 36.25)
Step-by-step explanation:
Michelle was instructed to write two equivalent expressions for 6x + 15.
Her work is shown.
6x + 15 = x + x + x + x + x + x + 15
6x + 15 = 6(x + 15)
Part A: Explain which one of Michelle’s equations is true for all values of x and which one of Michelle’s equations is false for all values of x. (2 pts.)
Part B: Write another equivalent expression for 6x + 15.
An equivalent expression for the expression 6x + 15 is 3(2x + 5)
Evaluating the expressionPart A:
The equation 6x + 15 = 6(x + 15) is false for all values of x because it does not follows the distributive property of multiplication over addition.
The equation 6x + 15 = x + x + x + x + x + x + 15 is true for all values of x because it is true when x has a specific value
Part B:
Another equivalent expression for 6x + 15 can be obtained by factoring out the greatest common factor (GCF) of the terms 6x and 15, which is 3:
6x + 15 = 3(2x + 5)
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Answer:
Part A: The equation 6x + 15 = 6(x + 15) is true for all values of x because it follows the distributive property of multiplication over addition. The equation x + x + x + x + x + x + 15 = 6x + 15 is false for all values of x because it is not equivalent to the original expression. While both expressions simplify to 6x + 15, the first equation adds six x's to 15, while the second equation only adds five x's to 15.
Part B: Another equivalent expression for 6x + 15 is 3(2x + 5). This expression also simplifies to 6x + 15 by using the distributive property of multiplication over addition.
Step-by-step explanation:
Which four inequalities can be used to find the solution to this absolute value inequality?
3< |x+2| <6
To find the solution to the absolute value inequality 3 < |x + 2| < 6, we can use four separate inequalities.
These inequalities are: -6 < x + 2 < -3, -6 < -(x + 2) < -3, 3 < x + 2 < 6, and -3 < -(x + 2) < 3. By solving each inequality, we can determine the range of values for 'x' that satisfy the original absolute value inequality.
The absolute value inequality 3 < |x + 2| < 6 can be split into four separate inequalities by considering the two possible cases: |x + 2| is positive or |x + 2| is negative.
-6 < x + 2 < -3: This inequality is obtained by considering the lower bound of the absolute value as -6 and the upper bound as -3.
-6 < -(x + 2) < -3: In this inequality, we negate both sides of the previous inequality since |x + 2| is positive.
For the negative case:
3. 3 < x + 2 < 6: Here, the lower bound is 3 and the upper bound is 6.
-3 < -(x + 2) < 3: Similar to the second inequality, we negate both sides since |x + 2| is negative.
By solving each of these four inequalities separately, we can find the range of values for 'x' that satisfy the original absolute value inequality 3 < |x + 2| < 6.
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How many term(s) is the following equation? 4m - 6n +3m + 5n
Answer:
There are 4 terms
Step-by-step explanation:
A basketball team scored 50 points in a game last week. This week, they scored 55 points. What was the percent increase in points scored from last week to this week?
Ely walks 3/2 mile in 1/2 hour. What is his speed in miles per hour?
Answer:
Photo is the answer
Step-by-step explanation:
Answer:
3 miles per hour
Step-by-step explanation:
If he walks 3/2 in half hour then you just have to double it to get how much he fast he walks in one hour.
3/2 +3/2 = 6/2 = 3
3 miles per hour
PLEASE HELP!! Is it (0,6) or (6,0) ????
Step-by-step explanation:
As I posted in the comments:
You need a point that is in the double shaded area....that would be 0,6 .....and if you try 6,0 in the equations you will see that 6, 0 does not work....
What is 50 % of $ 500 ?
\(\large\boxed{\boxed{\mathfrak{Wsp\:\:\:\:\: }}}\)
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
50
100
of 500 =
50
100
× 500
Therefore, the answer is 250
A two-input xor gate is equivalent to which equation? a. y = ab’ b. y = ab’+a’b c. y = a'b’ +ab d. y = a’(b’ + b')
The equivalent equation for a two-input XOR gate is y = ab’ + a’b.
A two-input XOR gate is a logic gate that outputs a high or 1 signal only when the two inputs are different. In other words, the output of an XOR gate is 1 when one input is 0 and the other input is 1, and vice versa.
To represent an XOR gate with an equation, we can use Boolean algebra. The Boolean expression for an XOR gate is y = ab’ + a’b, where y is the output, a and b are the two inputs, and a' and b' represent the complement (or NOT) of a and b, respectively.
This equation can be derived using the laws of Boolean algebra. For example, we know that the product of a variable and its complement is always 0, i.e., a a' = 0. Using this property, we can simplify the equation y = ab’ + a’b as follows:
y = ab’ + a’b
= ab’ + ab’’ + a’b (adding a' and b')
= ab’ + a’b + ab’’ (rearranging terms)
= ab’(1) + a’b(1) (using a a' = 0 and b b' = 0)
= ab’ + a’b (simplifying)
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Does this equation have:
A. Two positive solutions
B. One positive solution and one negative extraneous solution
C. One positive solution and one negative solution
D. Two negative solutions
Answer: Two Postive solutions
Step-by-step explanation:
The dimensions of a standard tennis court are 36 ft. × 78 ft. with a net that is 3 ft. high in the center. The court is modified for players aged 10 and under such that the dimensions are 27 ft. × 60 ft., and the same net is used. Use similarity to determine if the modified court is similar to the standard court.
Answer:
Modified court is not similar to the standard court
Step-by-step explanation:
Given that :
Dimension of standard tennis court:
36ft by 78ft
Net height = 3 ft
Dimension of Modified Court :
27ft by 60ft
Net height = 3ft
To examine similarity :
We obtain the dilation factor for width and length :
(Standard court length / modified court length)
= 36 ft / 27 ft
= 4 / 3
Width :
Standard court width / modified court width)
= 78 ft / 60 ft
= 13 / 10
Since the dilation factor for the width and length are different, then we can conclude that the standard and modified court are not similar
suppose that, in the base period, a college student buys 20 gallons of gasoline at $2 per gallon, 2 mugs for $13 each, and 4 movie tickets for $7 each. in the next month, the price of gasoline is $2.25 per gallon, mugs cost $12.50 each, and the price of a movie ticket is $7.50. the change in the price level from the first to the second month is:
The change in the price level from the first to the second month is 106.4
What is meant by price index?Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.
A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.
Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50
The price index
=(price in current year/price in last year) x 100
=100/94 x 100
=106.38 or 106.4
The change in the price level from the first to the second month is 106.4
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find a scalar so that the vectors =7− 3 and =3 6 4 are orthogonal.
The scalar, so that the vectors 7− 3 and =3 6 4 are orthogonal is 2.
To find the scalar c, we need to set the dot product of the two vectors to zero. The dot product of two vectors a = (a1, a2, a3) and b = (b1, b2, b3) is given by a·b = a1b1 + a2b2 + a3b3. Therefore, we have:
(7-c, -3) · (3, 6, 4) = 0
Expanding the dot product, we get:
(7-c)(3) + (-3)(6) + (0)(4) = 0
Simplifying, we get:
21 - 3c - 18 = 0
Solving for c, we get:
-3c + 3 = 0
c = 1
However, this solution would not make the two vectors orthogonal. Therefore, we made an error somewhere. Checking our work, we see that we made a mistake in our calculation of the dot product. The third component of the second vector is 4, not 0. Therefore, the correct calculation of the dot product is:
(7-c, -3) · (3, 6, 4) = (7-c)(3) + (-3)(6) + (0)(4) = 21 - 3c - 18 = 3 - 3c
Setting this expression equal to zero, we get:
3 - 3c = 0
Solving for c, we get:
c = 1
However, we know that this solution is incorrect because we made an error earlier. Checking our work again, we see that we used the wrong values for the components of the vectors. The correct vectors are:
a = (7, -3, 0)
b = (3, 6, 4)
Therefore, the correct calculation of the dot product is:
a · b = (7)(3) + (-3)(6) + (0)(4) = 21 - 18 = 3
Setting this expression equal to zero, we get:
21 - 3c - 18 = 0
Solving for c, we get:
c = 2
Therefore, the scalar we are looking for is 2.
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7+7-2x4{44-2+8)??????
Answer:
1577
Step-by-step explanation:
Answer:
− 386
Step-by-step explanation:
Um i dont really know what you were going for but if you can retype the question i can give yo a better answer
As the domain of this graph goes off to positive infinity what happens to the range?
Answer:
The answer is below
Step-by-step explanation:
The domain of a function is the set of all real values of the independent variables, that is input variables (x values).
The range of a function is the set of all real values of the dependent variables, that is output variables (y values).
From the graph, as the domain (x vales) goes off from negative to positive infinity, the range (y values) also goes off from negative to positive infinity.
Find X. Round to the nearest tenth of degree.
Answer:
\(x=49.16^{\circ}\)
Step-by-step explanation:
We need to find the value of x in the given figure.
It is a right angled triangle, in which base is 19, height is 22.
We can use trigonometry to find x.
We know that,
\(\tan\theta=\dfrac{P}{B}\)
Where
P is perpendicular and B is base
So,
\(\tan x=\dfrac{22}{19}\\\\x=\tan^{-1}(1.157)\\\\x=49.16^{\circ}\)
So, the value of x is equal to \(49.16^{\circ}\).
Find the coordinates of point M if S(-4, 5) is the midpoint of MP and the coordinates of Pare (-8, 8).
O (0, 2)
(6,6 1/2)
(0, -2)
O (-2, 0)
The coordinates of point M are (-6, 6.5). Option (B) is the correct answer.
We are given that S(-4, 5) is the midpoint of MP and the coordinates of P are (-8, 8). We want to find the coordinates of point M.
Since point S is the midpoint of MP, we can use the midpoint formula to find the coordinates of point M:
Midpoint formula: (xm, ym) = ((xp + xs)/2, (yp + ys)/2)
Substituting the given values, we get:
(xm, ym) = ((-8 - 4)/2, (8 + 5)/2)
(xm, ym) = (-6, 6.5)
The other points listed in the answer choices are not relevant to this problem.(option-b)
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Using the midpoint formula to solve the equations gives us the coordinates of M as (0,2).
Explanation:In mathematics, we can find the coordinates of the point M using the formula properties of a line division. Since S is the midpoint, that means it equally divides the line segment MP into two. The midpoint formula is M = [(x1+x2)/2 , (y1+y2)/2]. You have the coordinates of S(-4,5) and P(-8,8), so we can set up the following equations using the midpoint formula:
(-4+X)/2 = -8 and (5+Y)/2 = 8
Solving these equations for X and Y, we get X = 0 and Y = 2. Therefore, the coordinates of M would be (0,2), which is option O (0,2) in your given choices.
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An item is regularly priced at $85. It is on sale for 15% off the regular price.
Someone help
Answer:72.25
Step-by-step explanation:
Answer:
$72.25 is the price of the $85 item on sale for 15% off the regular price.
Step-by-step explanation:
First you need to find out how much 15% off the original price is:
85 x .15 (change percent to a decimal by moving the decimal point to the left two times, so if it was 25%, the decimal form is .25)
85 x .15= 12.75, so there is $12.75 off the original price of $85.
$85 - $12.75= $72.25!
Yw!
Can someone please help me with this question
Answer:
a) 6/9 shaded.
b) About 67% is shaded. (66.6% repeating rounded to 67%)
Help I don't know what to choose
Answer:
Step-by-step explanation:
We know a triangle adds up to 180 so:
75+36+ ? = 180
111+ ? =180
? = 69
To find out x, we know that a straight line adds up to 180 so again:
x +69 = 180
x = 111
Answer:
let the untitled angle be y.
y+75°+36°=180°[by angle sum property]
y+111°=180°
y=180°-111°
y=69°
x+69°=180°[by linear pair]
x=180°-69
x=111°
Someone please help me out!!
Answer:
x = 0, 4
Step-by-step explanation:
2x² = 8x ( subtract 8x from both sides )
2x² - 8x = 0 ← factor out 2x from each term
2x(x - 4) = 0
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Which graph represents the solution to the following inequality? 3x+1<7
Answer:
The first graph
Step-by-step explanation:
3x + 1 <7 Subtract 1 from both sides
3x + 1 -1 < 7 -1
3x <6 Divide both sides by 3
x < 2
Helping in the name of Jesus.
find the number of degrees in an angle which is 120 less than its supplement
Answer:
Have You tried 150? :)
Step-by-step explanation:
If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y, then:
if person B values good Y more than good X, there are mutually beneficial trades available.
If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.
Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.
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If Circle A is dilated to be the same size as Circle B, by what scale factor will the area of Circle A be multiplied? Note: Circles may not be drawn to scale.
The scale factor by which Circle A is dilated to be the same size as Circle B is 6.25.
What is dilation?Dilation is a geometric transformation that alters a figure's size without altering its shape. All of the points in the original diagram are stretched or compressed away from or towards the centre of dilation, which is a fixed point. The ratio of the lengths of matching sides in the original figure and its image is known as the scale factor. Enlargement is defined as a dilatation with a scale factor larger than 1, whereas reduction is defined as a dilation with a scale factor between 0 and 1. Many aspects of geometry, such as similarities, transformations, and fractals, employ dilation.
Let us suppose x is the scale factor.
The area of the circle A is given as:
Area of Circle A = π (radius of Circle A)² = π (25 ft)² = 625 π sq. ft.
Area of dilated Circle B² = x (Area of Circle A)
x = Circle A / Circle B
x = 625 π / 100 π
x = 6.25
Hence, the scale factor by which Circle A is dilated to be the same size as Circle B is 6.25.
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What is the volume?? 23pts
Answer:
96π mm^3
Step-by-step explanation:
πr^2*h = formula
π4^2*6 = 16π(6) = 96π mm^3
Answer:
\(\Longrightarrow: \boxed{\sf{96\pi }}\)
Step-by-step explanation:
You must use the volume of this cylinder formula to solve the volume of this cylinder.
Volume of this cylinder formula:
\(\Longrightarrow: \sf{\pi r^2*h}\)
R² =4²mmH (height) =6mm\(\Longrightarrow\sf{\pi 4^2*6}\)
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtractFirst, solve exponents.
4²=4*4=16
16*6
Multiply.
16*6=96
\(\Longrightarrow: \boxed{\sf{96\pi}}\)
Therefore, the correct answer is C. 96π.I hope this helps! Let me know if you have any questions.
Select the best description of exponential equation
f ( x ) = 97 ( 6.77 )^x
A) Decaying by 677%
B) Growing by 677%
C) Growing by 577%
D) Decaying by 577%
A store is having a sale on sweaters. For each regular priced sweater that is purchased, a second sweater can be purchased for 40% of the regular price Buy One Sweater.
Answer:
Joanie is correct. Each second sweater is sold at 40% off. If you divide this by 2 each sweater is sold by 20% off.
Joanie buys 4 sweaters and saves 20% total.
Drop downs:
#1. 40%#2. subtracting it from#3. 20%#4. 20%#5. correctDetermine the slopes from the given info
A line with the equation y= -2
Answer:
Slope is 0
Step-by-step explanation:
Answer:
The slope is zero if the line which the equation y=-2
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think