The man can wear 27 different shirt and tie combinations.
Therefore the answer is 27.
The number of different shirt and tie combinations that a man can wear can be calculated by multiplying the number of choices for each item.
Number of choices for shirts = 3
Number of choices for ties = 9
Since the man has three different shirts and nine different ties, and each shirt can be paired with any one of the nine ties, the number of combinations is:
Combinations = 3 * 9 = 27
So the man can wear 27 different shirt and tie combinations.
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What percent of the
square is shaded in?
When you type your answer
do not include a % sign.
Answer:
1 1/3 or just 1/3
Step-by-step explanation:
What percent of the shape is shaded in?
Alright to start, let's look at the shape, it is divided into 4 equal parts, one part is shaded, which gives us 1/4, or 25% or 0.25. Then there's another part, which is half shaded, that'll be half of 1/4 or 25% or 0.25, which is 1/8 or 12.5% or 0.125. Now all you have to do is add them together.
1/4 + 1/8 = 3/8
25% + 12.5% = 37.5%
0.25 + 0.125 = 0.3725
These are your three answers you can choose from, I guess the second one won't work because the problem states not to include a % sign.
Hope this helped!
how did get 180 by solving 15 multiply by 12???
One way we can check this is to simply multiply 15 by 12 to get 180.
15 × 12 = 180Or you could even switch the numbers around.
12 × 15 = 180But if we wanted to check it further, we can take the total and divide that by one of the multiplican or multipliers (15 or 12) to get the correct product.
180 ÷ 15 = 12180 ÷ 12 = 15Therefore, these are some ways to use the numbers 180, 15 and 12 in expressions.
Patrick is a great babysitter. He makes $9 an hour. Lila is an even better babysitter. She makes $12 an hour. Lila works 6 hours each week. How many hours does Patrick need to work in order to earn as much money as Lila earns in a week?
Answer:
8 hours
Step-by-step explanation:
We know that since Lila earns $12/hr and works 6 hr/week, she earned 72 since 12 * 6 = 72.
We can let the amount Patrick earns each week represent 9h, where h is the amount of hours he works.
We can solve for h by setting Patrick's equation equal to 72, which is Lila's earnings:
[tex]9h=72\\h=8\\\\9(8)=72\\12(6)=72[/tex]
If 6 Gardner's can now the grass of a soccer field in 2 hours how many gardeners can mow the same field in 3 hours
Two gardeners can cut a similar field in three hours. A soccer field might be cut in two hours by six grounds-keepers, every one of whom works at a pace of one-6th of the field every hour.
To get the number of grounds-keepers expected to cut the very field in that timeframe, we should initially decide the speed at which the field can be cut in 3 hours, which is 1/3 of the field consistently.
To get the required number of groundskeepers, we partition this rate by the pace of every nursery worker, which is 1/6 of the field every hour, yielding the condition 1/3 / 1/6 = 2.
Subsequently, two nursery workers might cut similar regions in three hours.
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1. Find the value of x. Round to the tenths. (Hint: The sum of the angle measures of a
quadrilateral is 360°).
2x+6
15x-8
Answer:
10.7 °
Step-by-step explanation:
In this problem, there are two angles with degrees of 2x + 6 and two angles of degrees of 15x - 8. We know the sum of the four angles is 360, as stated in the problem. Thus we can set up the following equation:
2(2x + 6) + 2(15x - 8) = 360
4x + 12 + 30x -16 = 360
34x - 4 = 360
34x = 364
x ≈ 10.7 °
Find the volume of the resulting solid if the region under the curve y = 9/(x ^ 2 + 3x + 2) from x = 0 to x = 1 is rotated about the x-axis and the y-axis.
When a region is rotated about the x-axis, a cylinder is formed. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height of the cylinder.
What is volume of a cylinde ?The volume of a cylinder is the amount of space the cylinder takes up. It is found by multiplying the area of the cylinder's base by its height. The formula for finding the volume of a cylinder is V = πr²h, where r is the radius of the cylinder's base, and h is its height.
The radius of the cylinder is equal to the distance from the x-axis to the highest point on the graph of y = 9/(x² + 3x + 2).
To find the highest point on the graph, we differentiate the function and find the critical points.
Differentiating y = 9/(x² + 3x + 2):
dy/dx = -18x / (x² + 3x + 2)²
Setting dy/dx = 0 and solving for x:
-18x / (x² + 3x + 2)² = 0
x = -3, 2
For x = -3, y = 9/(-3² + 3(-3) + 2) = 9/1 = 9
For x = 2, y = 9/(2² + 3(2) + 2) = 9/8 = 1.125
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Type in ALL CAPS 4-digit code
The price paid for the chair will be $90.18
The price for the pen will be $4.23.
How to calculate the new priceA percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The price paid for the chair will be:
= $83.50 + (8% × $83.50)
= $90.18
The price for the pen will be:
= $4.50 - (60% × 4.50)
= $4.23
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Take a factor out of each square root.
√17x² where x > 0
The factor of quadratic equation is x√17
What is quadratic equation?A quadratic equation is one that contains a second-degree polynomial. They are extensively utilized in a wide range of disciplines, including engineering, architecture, finance, biology, and, of course, mathematics.
Factoring is frequently the simplest way to solve a quadratic equation. Finding expressions that can be multiplied together to get the expression on one side of the problem is the process of factoring. A quadratic equation is represented as a product of linear terms if it can be factored.
First you need to find perfect square factors of 17
17 = 1*17
√17 = √1*√17 = 1√17 = √17
we had also √x² = x
So the answer is x√17
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express the ratio 1 hr to 15 min in its lowest term
Answer:
4min:1min
Step-by-step explanation:
60:15
divide by 5
12:3
divide by 3
4:1
Draw the line of reflection that reflects quadrilateral ABCD onto
quadrilateral A'B'C'D'.
Note that the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D' is given as attached. Note that when a shape is reflected, it must be reflected over a line. In this case, the line of reflection is y = -3.
What is a line of reflection?A line of reflection is a line that acts as a mirror, reflecting a figure across the line so that the image is a mirror image of the original.
When a shape is reflected, it must be reflected over a line. The line of reflection of quadrilateral ABCD onto quadrilateral A'B'C'D is
From the given graph, we have the following observations
ABCD was flipped over to form A'B'C'D'
The line of reflection is between both shapes.
Using points C and C' as references;
We have:
C = (-3, -1)
C" = (-3, -5)
Notice that both points have the same x-coordinate
This means that the line of reflection is parallel to the x-axis and passes through the y-axis.
The point at which it passes through the y-axis is calculated using the mid-point formula.
Therefore, we have:
y = (y1+y2)/2
y = (-1-5)/2
y = -6/2
y = -3
Hence, the line of reflection is y = -3
See the attachment for the line of reflection.
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Answer:
Step-by-step explanation:
A cable is used to support a 245-m television tower. If the angle the cable makes with the ground is 78°, how long is the cable? _______ m
The length of the cable is, 252.57 m.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A cable is used to support a 245-m television tower.
And, the angle the cable makes with the ground is 78°.
Let the length of the cable = x
Hence, We can formulate;
⇒ sin 78° = 245 / x
⇒ 0.97 = 245 / x
⇒ x = 245/0.97
⇒ x = 252.57 m
Thus, The length of the cable is, 252.57 m.
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Solve for x. Enter the solutions from least to greatest.
6x² - 6x - 72 = 0
Answer:
-3, 4
Step-by-step explanation:
First, we can simplify this expression by diving both sides by 6. Thus, we get x² - x - 12 = 0. Solving this, we get (x-4)(x+3). Thus, the solutions for x are 4 and -3. So, the answer is x = -3, 4
which of the following equations have no solutions?
choose all answers that apply:
a: −60x+32=32x+60
b: −60x+32=−60x+60
c: −60x+32=32x−60
d: −60x+32=−60x−32
The equations with no solutions are −60x+32=−60x+60 and −60x+32=−60x−32. Options B and D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of terms, variables, coefficients, constants and factors.
They are also composed of arithmetic operations, such as;
AdditionBracketParenthesesSubtractionMultiplication, etcFrom the information given, we have that the expression or equation without solutions are those with the value of x as 0.
−60x+32=−60x+60
collect like terms
-60x + 60x = 28
Hence, the equations are −60x+32=−60x+60 and −60x+32=−60x−32
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PLS HELP! I need help with Non-Linear Data on a graph with scatterplot.
The function increased to a maximum value and then decreased.
How do you identify trends in a data plot?We know that a graph can be obtained when we plot the points of the data on a graph. In this case we can see that the data have been graphed accurately as we can see here.
If we look at the graph, we can see that the graph went up and then it started coming down. The implication of that is that the function has attained a maximum point and then began to decrease.
This is clear from the graph that has been shown.
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one circle c1 of radius 2 is centered at the origin. on top of the circle a second circle, c2, is placed, with radius 1 and center (0, 4). find the center of gravity, ( x, y ) , of the combination of the two circles.
The center of gravity of the combination of the two circles is at (x, y) = (0, 4/5).
The center of gravity, or the center of mass, of a two-dimensional object can be found by taking the weighted average of the x-coordinates and y-coordinates of the individual masses making up the object.
In this case, the two circles can be treated as point masses, with the mass of each circle being proportional to its area. The area of a circle with radius r is given by pi * r^2.
So, for circle c1 with radius 2, its mass is given by:
m1 = pi * 2^2 = 4 * pi
And for circle c2 with radius 1, its mass is given by:
m2 = pi * 1^2 = pi
The x-coordinate of the center of gravity is given by the weighted average of the x-coordinates of the two masses:
x = (m1 * 0 + m2 * 0) / (m1 + m2) = 0
Similarly, the y-coordinate of the center of gravity is given by the weighted average of the y-coordinates of the two masses:
y = (m1 * 0 + m2 * 4) / (m1 + m2) = 4 * (m2 / (m1 + m2)) = 4 * (pi / (4 * pi + pi)) = 4 * (pi / 5 * pi) = 4/5
So, the center of gravity of the combination of the two circles is at (x, y) = (0, 4/5).
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i need help can someone please teach me thee ways of math :/
the bus value is depreciating, thus is Decay
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &250000\\ r=rate\to 20\%\to \frac{20}{100}\dotfill &0.2\\ t=years \end{cases} \\\\\\ A = 250000(1 - 0.2)^{t} \implies \boxed{A = 250000(0.8)^t} \\\\\\ \stackrel{\textit{after 6 years, t=6}}{A=250000(0.8)^6}\implies \boxed{65536}[/tex]
What is the most precise term for quadrilateral ABCD with vertices A(4, 7),
B(6, 5), C(4, 1), and D(2, 5)?
Answer:
Step-by-step explanation:
The most precise term for the quadrilateral ABCD with vertices A(4, 7), B(6, 5), C(4, 1), and D(2, 5) is a trapezoid. A trapezoid is a quadrilateral with exactly one pair of parallel sides.
PLEASE HELP 15 POINTS
The area of the given given shape which consists of a triangle and a quarter circle to 1 decimal place would be =161.04m².
How to calculate the area of a triangle?The formula used to calculate the are of triangle= ½base×height.
where; Base= 12m
height= 20-12 = 8 m
area = 1/2×12×8 = 48m²
The formula for the area of a quarter circle = πr²/4
where r = 12m
Area = 3.14 × 12²/4
= 3.14×144/4
= 452.16/4
= 113.04m²
Therefore, the area of the figure = 48+ 113.04 = 161.04m²
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Two trees are planted next to each other. One tree is 4 meters tall and casts a 16-meter shadow. Determine the height of the other tree if it casts a 29-meter shadow.
1.81 m
3.25 m
7.25 m
12.25 m
The height of the other tree is 7.25 meters
How to determine the height of the other treeFrom the question, we have the following parameters that can be used in our computation:
One tree is 4 meters tall casts a 16-meter shadowUsing the above as a guide, we have the following:
Ratio = Height : Shadow
So, we have
Height : Shadow = 4 : 16
Simplify
Height : Shadow = 1 : 4
So, we have
Height : 29 = 1 : 4
This means that
Height = 29 * 1/4
Evaluate
Height = 7.25
Hence the height is 7.25 meters
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Answer:
The height of the other tree is 7.25 meters
Step-by-step explanation:
Graph f(x) = 3x and find the y-intercept and horizontal asymptote.
Part A
Which is the graph of f(x) = 3x?
Part B
Determine the y-intercept and horizontal asymptote.
y-intercept:
horizontal asymptote: y =
The First graph represents the equation y = 3x
The y intercept = 1.5
The horizontal asymptote = infinity
What are intercept and horizontal asymptote?The y -intercept is a point at which the graph of the function touches the y -axis. It is only possible for a function to have zero or one y -intercept.
A horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞.
Therefore the y intercept is 1.5 from the graph. and the horizontal asymptote is infinity
The power of the numerator is great than that of denominator.
3x²/1x^0
= 2/0
= infinity.
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{c} Factorise: c² - 8c
Answer:
c (c - 8)
Step-by-step explanation:
c² - 8c
First, you have to find the GCF
The Greatest Common Factor is the factor that all have in common. Here the GCF is c
So, we factor c out and has left (c - 8)
So, our equation is
c (c - 8)
based on the data shownin the graph how many boxes can the shipping company to pack in a 18 hour period
The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of hours be x
Let the number of boxes be y
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 5 , 60 )
Now , the slope of the line m = y/x
Substituting the values in the equation , we get
Slope m = 60 / 5 = 12
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 60 = 12 ( x - 5 )
y - 60 = 12x - 60
y = 12x
Now , when x = 18 hours
y = 12 ( 18 ) boxes
y = 216 boxes
Hence , the number of boxes is 216 boxes
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Draw a horizontal line of length 7cm. Construct the perpendicular bisector using a pair of compasses.
The horizontal line of length 7cm is added as an attachment
How to bisect the lineFrom the question, we have the following parameters that can be used in our computation:
Line = 7 cm
The following steps would create the perpendicular bisector
Draw the line segment of 7 cmPlace the point of the compass on one end of the line segment and draw a small arc that intersects the line segment at two points.Place the point of the compass on the other end of the line segment and draw a small arc that intersects the line segment at two points.Draw a straight line that connects the two points where the arcs intersect the line segment.This line is the perpendicular bisector of the line segment.Read more about perpendicular bisector at
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please just give me an answer to this true or false intro to inequalities:-3a <15,if a=2
Answer: true
Step-by-step explanation:
Albert invests money in an account that earns a yearly dividend. The amount, A, in his account at the end of t years is given by the equation Which statement is correct?
The amount in the account after t years is given as follows:
A(t) = A(0)(1 + r)^t.
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.How to model the situation?The standard definition of an exponential function is given as follows:
y = a(b)^x.
In which:
a is the initial value.b is the rate of change, as a decimal.For an increasing exponential function, the rate of change is given as follows:
b = 1 + r.
In which r is the growth rate, as a decimal.
Considering that the balance increases according to the yearly dividend, the equation is given as follows:
A(t) = A(0)(1 + r)^t.
Missing InformationThe problem is incomplete, hence the general procedure in obtaining the equation was presented, which can be used to analyze the statements.
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what happens to the expected value of M a, sample size increases? a. It decreases 10, b. t also increases. e. It stays constant. d· The expected value does not change in a predictable manner when sample size increases.
The expected value of M does not change in a predictable manner when sample size increases; it can increase, decrease, or stay the same.
The expected value of M, or the mean of a sample, is determined by the values of the individual elements that comprise it. As such, when the sample size increases, the expected value of M could increase, decrease, or remain constant, depending on the particular values of the individual elements in the sample. This is because the expected value of M is the average of the individual elements and the contribution of each element to the average depends on its value and the number of elements in the sample. Therefore, the expected value of M does not change in a predictable manner when sample size increases. Depending on the individual elements in the sample, the expected value of M could be higher, lower, or constant.
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helpppppppppppp pleaseeee
Bethany says, Using these exchange rates, £1 is worth 1.17 euros.
Step-by-step explanation
1 euro = 1.07 dollars
£1 = 1.25 dollars
Now ,
⇒ £1 = 1.25 dollars
⇒ £1 =
⇒ £1 =
⇒ £1 =
⇒ £1 =
⇒ £1 =1.17 euros
Therefore , Bethany says, Using these exchange rates, £1 is worth 1.17 euros.
What is the solution to the equation?
a + 5 and two-thirds = 9
a + 5 and two-thirds = 9. a + 5 and two-thirds + 5 and two-thirds = 9 minus 5 and two-thirds. A = 3 and one-third.
a + 5 and two-thirds = 9. a + 5 and two-thirds + 5 and two-thirds = 9 + 5 and two-thirds. A = 14 and two-thirds.
The solution to the equation is a = 3 1/3
What is the solution to the equation?From the question, we have the following parameters that can be used in our computation:
a + 5 and two-thirds = 9
Express properly
So, we have
a + 5 2/3 = 9
Subtract 5 2/3 from both sides of the equation
This gives
a = 9 - 5 2/3
Evaluate the difference
a = 3 1/3
Hence, the solution is a = 3 1/3
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Cold weather can be especially hard on Kurt's grandfather, so Kurt is knitting him a striped scarf for his birthday. The scarf is almost finished when Kurt discovers a mistake! He has to unravel 0.5 feet of the scarf, and now the remaining part is only 3.75 feet long
Answer:
Kurt originally knitted the scarf to be 3.75 feet + 0.5 feet = 4.25 feet long.
I found the answer by using basic addition. I added the length that Kurt had to unravel (0.5 feet) to the remaining length of the scarf (3.75 feet) to find the original length of the scarf (4.25 feet).
Step-by-step explanation:
How could you use the graph to find the number of apples needed for 30 celery sticks? PLS I NEED THIS BY TODAY BC IT IS DUE TOMORROW HELPPPP IM SO DESERET
Step-by-step explanation:
What graph are we talking about?