The other methods that one can use to find the number of carpet squares needed is 7 x ( 4 + 2 ) = 7 x 6. = 46.
What is the carpet square about?Note that the method was (see image attached):
7 x ( --- + 2 ) = 7 x --
Fixing 4 and 6 into the equation
It will be 7 x ( 4 + 2 ) = 7 x 6.
7 x 6 = 7 x 6.
46 = 46
Therefore the number of carpet squares needed is 46.
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in the citation 319 n.w. 2d 459, the number 459 represents the
The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.
In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.
To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.
In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.
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1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
First you will get 4dz
not sure whether to times or devide..
1. Given : 1 mile = 8/5 km
⇒ 7.5 miles = 7.5 × value of 1 mile
⇒ 7.5 miles = 7.5 × 8/5 km
⇒ 7.5 miles = 12 km
2. Given : 1m = 1.1 yard
⇒ 600m = 600 × value of 1m
⇒ 600m = 600 × 1.1 yard
⇒ 600m = 660 yards
3. Given : 1 yard = 3 feet
⇒ 1 feet = 1/3 yard
⇒ 730 feet = 730 × value of 1 feet
⇒ 730 feet = 730 × 1/3 yard
⇒ 730 feet = 243.33 yards
A wooden pole was broken during a windstorm. Before it broke, the total height of the pole above the ground was 50 feet. After it broke, the top of the pole touched the ground 15 feet from the base.
How tall was the part of the pole that was left standing?
Answer:
22.75 ft
Step-by-step explanation:
You want the height of the standing part of a 50 ft pole that broke so the top touches the ground 15 ft from the base.
SetupLet x represent the height of the remaining pole. Then the part that is bent over and touching the ground has length (50 -x). The right triangle that models the geometry will have legs of 15 and x, and a hypotenuse of (50 -x). The Pythagorean theorem tells us the relationship between these lengths is ...
(50 -x)² = 15² +x²
Solution2500 -100x +x² = 225 +x² . . . . . . . simplify the equation
2275 = 100x . . . . . . . . . . . . . . add 100x -x² -225
22.75 = x . . . . . . . . . . . . divide by 100
The part of the pole left standing is 22.75 feet high.
which of the following explains why knowing the value of x tells you nothing about the value of y?
The statement that knowing the value of x tells you nothing about the value of y can be explained by several scenarios. One possible scenario is when the values of x and y are not related in any way. In other words, there is no mathematical or logical connection between them.
Another scenario where knowing the value of x tells you nothing about the value of y is when there are multiple possible values of y for a given value of x. This occurs when the relationship between x and y is not one-to-one. For instance, if x represents a person's age and y represents their height, knowing someone's age does not determine their height since there are different heights for different ages.
Furthermore, it is possible that there is a relationship between x and y, but the value of y is affected by other factors besides x. For example, if x represents the amount of time a student spends studying and y represents their grade on a test, knowing the value of x does not completely predict the value of y because other factors like natural ability and test-taking skills may also play a role in determining the grade.
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which one of the following is true? 1. two things can be numerically identical without being qualitatively identical. 2. two things can be qualitatively identical without being numerically identical. 3. if two things are qualitatively identical then they are numerically identical. 4. none of the above.
2) 'Two things can be qualitatively identical without being numerically identical ' is true.
The true statement is, 2 ) 'Two things can be qualitatively identical without being numerically identical'.
This is known as the problem of universals in philosophy, which deals with the question of whether qualities or properties (such as redness or roundness) exist independently of the objects that possess them. Two objects can share the same qualities or properties, but still be distinct entities. For example, two apples can be qualitatively identical in terms of their color, size, and shape, but they are still two separate objects.
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Mark has $9.10 to buy some fruit. He wants to buy six pounds of apples, which are $0.99 a pound and as many pounds of bananas as he can, which are $0.79 a pound. How many pounds of bananas can he buy?
Answer: 4 pounds
Step-by-step explanation:
Mark has $9.10 to buy fruits.
6 pounds of apple at $0.99 will cost $5.94
Balance 9.10 - 5.94 = 3.16
Bananas are $0.79 a pound
For $3.16, he will get
3.16 / 0.79 = 4 pounds of bananas
A package of 6 pairs of insulated socks cost 49.74 What is the unit price of the pairs of socks?
You have a bag with 2 red marbles, 3 blue marbles, and 1 green marble. You draw a marble from the bag and then put it back in before drawing another one. What is the probability that both marbles are blue?
The probability that both marbles are blue is 1/4.
Since the marble is put back into the bag before the second draw, the probability of drawing a blue marble on the first draw is 3/6 or 1/2, and the probability of drawing a blue marble on the second draw is also 3/6 or 1/2.
The probability of both events happening together (drawing a blue marble on the first and second draws) is equal to the product of the probabilities of each event occurring separately, since the two events are independent of each other:
P(Blue on first draw AND Blue on second draw) = P(Blue on first draw) x P(Blue on second draw)
= 1/2 x 1/2
= 1/4
Therefore, the probability of drawing two blue marbles in a row with replacement is 1/4 or 25%.
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Answer:
Solve.
Step-by-step explanation:
make the 2 3 and 1 then turn them into 20 30 and 10 then you need to add them together to get the answer divide that by thirty and if its more than half yes, less than half no.
Ch. 6 Q.3 Bostwick Chemicals started business on April 1. The following operations data are available for April for the one solvent it produces.
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx Gallons
Beginning inventory 0
Started in April 350,000
Ending work-in-process inventory (75% complete) 40,000
Costs incurred in April follow.
Materials $424,500
Labor 127,600
Manufacturing overhead 365,900
There are never any finished goods at Bostwick Chemicals because all production is to order.
A. Compute cost of goods sold for April.
B. What is the value of work-in-process inventory on April 30?
A. The cost of goods sold for April is $918,000.
B.The value of work-in-process inventory on April 30 is $241,000.
A. To compute the cost of goods sold for April, we need to consider the costs incurred during the month and adjust for the change in work-in-process inventory. The formula for calculating cost of goods sold is:
Cost of Goods Sold = Beginning Inventory + Costs Incurred - Ending Work-in-Process Inventory
In this case, the beginning inventory is 0, and the costs incurred in April include materials, labor, and manufacturing overhead, which sum up to $917,000 ($424,500 + $127,600 + $365,900). The ending work-in-process inventory is given as 40,000 units at 75% completion. To calculate the equivalent completed units, we multiply the ending work-in-process inventory by the completion percentage: 40,000 units * 0.75 = 30,000 equivalent completed units.
Thus, the cost of goods sold for April is:
Cost of Goods Sold = 0 + $917,000 - 30,000 * Cost per Equivalent Unit
We are not provided with the cost per equivalent unit, so the exact cost of goods sold cannot be determined without additional information. However, we can still compute the total cost of goods sold by using the given information.
B. The value of work-in-process inventory on April 30 can be calculated by determining the cost of the remaining work-in-process units at their current stage of completion. Since the ending work-in-process inventory is given as 40,000 units at 75% completion, we multiply the total units by the completion percentage to find the equivalent completed units: 40,000 units * 0.75 = 30,000 equivalent completed units.
To calculate the value of work-in-process inventory, we multiply the remaining work-in-process units by the cost per equivalent unit. However, the cost per equivalent unit is not provided in the given information, making it impossible to determine the exact value of the work-in-process inventory on April 30. Therefore, without additional information, we cannot determine the precise value of the work-in-process inventory.
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What is the domain of the square root function graphed below?
2
6.
4
1-2
6
X
2
4
6
O x5-1
O x2-1
Oxso
x20
HELP PLS
Answer:
\(x \geqslant 0\)
Option D is the right option.
Explanation:
Observe from the graph that the value of X starts at X=0 and the graph is going to the right infinitely.
So the domain of the function should be:
\(x \geqslant 0\)
Hope this helps...
Good luck on your assignment..
The domain of the square root function graphed is, x ≥ 0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The square root function are graphed below in figure.
Now, We know that;
The set of all inputs of the function is called Domain of set.
Hence, By definition of domain of function, we get;
The domain of the square root function graphed is,
x ≥ 0
Thus, The domain of the square root function graphed is, x ≥ 0
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Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast, before tip?
$
Sketch the region of integration and write an equivalent integral with the order of integration reversed for the integral ∫2,0
∫2x,x^2
xy, dy, dx
Evaluate the integral in both forms.
The equivalent integral with the order of integration reversed for the integral ∫2,0 is
∫2,0 ∫2x,x² xy dy dx = ∫2,0 [x³ - x⁵] dx
= 16/15
∫2,0 ∫y/2,2 xy dx dy = ∫2,0 [y/4 - y³/24] dy = 1
In order to sketch the region of integration for the given integral ∫2,0 ∫2x,x² xy dy dx
, we first need to imagine the region of integration. Therefore, the region of integration is a triangle with vertices at (0,0), (2,0) and (2,4). Then we can draw this region shown in the diagram below
To create an equivalent integral with the degree of integration reversed,
we need to integrate with concerning to y first and then x.
Therefore, limits of integration for y are from y = x/2 to y = 2 for a fixed value of x.
The given limits of integration for x are from x = 0 to x = 2.
Then, the created equivalent integral with the order of integration reversed is
∫2,0 ∫y/2,2 xy dx dy
Finding the integral in both forms:
∫2,0 ∫2x,x² xy dy dx = ∫2,0 [x³ - x⁵] dx = 16/15
∫2,0 ∫y/2,2 xy dx dy = ∫2,0 [y/4 - y³/24] dy = 1
The equivalent integral with the order of integration reversed for the integral ∫2,0 is
∫2,0 ∫2x,x² xy dy dx = ∫2,0 [x³ - x⁵] dx
= 16/15
∫2,0 ∫y/2,2 xy dx dy = ∫2,0 [y/4 - y³/24] dy = 1
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Find f(-3) for the piece-wise function.
The value of function f(- 3) for the piece-wise function is,
⇒ f (- 3) = - 1
We have to given that;
The piece-wise function is,
f (x) = (x + 2) ; if x < 2
= (x + 1) ; if x ≥ 2
Hence, At x = - 3;
Function is,
⇒ f (x) = x + 2
Hence, Substitute x = - 3;
⇒ f (- 3) = - 3 + 2
⇒ f (-3) = - 1
Thus, The value of function f(- 3) for the piece-wise function is,
⇒ f (- 3) = - 1
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Please Help!
Find the dimensions of an American football field. The length is 200ft. more than the width, and the perimeter is 1,040ft. Find the length and width. Use the perimeter formula P=2L+2W
The width and length of the field are 160ft and 200ft respectively
When both the given variables are related to each other, we are required to consider one variable as x and the other as a function of x to solve accordingly
Let the width of the football field be 'x' ft.
then according to given data,
length= 200 ft more than width= (x+200)ft
According to given,
Perimeter of the given field =2L+2W=1040
where L is length and W is the width
Now putting the values of length and width earlier derived, we get:
2(x)+2(x+200) =1040
2x+2x+400=1040
4x+400=1040
4x=1040-400
4x=640
x=160ft
Now, the width of the field= x=160ft
length of the field= x+200=160+200=360ft
Hence the length and the width of the field are 160ft and 360ft
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There are five candies in a bag. Three are chewy, and two are chocolate. You draw a candy, do not replace it, and then draw another. What is the probability of choosing two chocolate candies?
P(Chocolate) for first draw = 2/5
P(Chocolate) for second draw = 1/4
Prob. of choosing two chocolate candies = 2/5 * 1/4 = 1/10
Probability of choosing two chocolates candies without replacement is equals to (1/ 10).
What is probability?
" Probability is defined as the mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes for a given event."
Formula used
Probability = \(\frac{Number of favourable outcomes}{Total number of outcomes}\)
According to the question,
Total number of candies = 5
Number of chocolates = 2
As per the condition of without replacement we have,
Probability of drawing a first chocolate = 2 / 5 ___( 1 )
Probability of second chocolate without replacing first one = 1/ 4 __( 2)
From ( 1 ) and (2) we get,
Probability of choosing 2 chocolates candies without replacement
= \(\frac{2}{5}\) × \(\frac{1}{4}\)
= (1 / 10)
Hence, probability of choosing two chocolates candies without replacement is equals to (1/ 10).
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A quadratic polynomial with real coefficients and leading coefficient is called if the equation is satisfied by exactly three real numbers. Among all the disrespectful quadratic polynomials, there is a unique such polynomial for which the sum of the roots is maximized. What is
p(1) = 1
Let p(x) = x2 + bx = c
then, p(p(x)) = (x2 + bx + c)² + b(x2 + bx + c) + c
Sum of roots of p(p(x)) is given by = - (coefficient of x3/constant term)
= -2b/c2+bc+c = f(a,b) (say)
For critical points,
∂f/∂c = 0 and ∂f/∂b = 0
= 2b(2c+b+1)/c2+bc+c = 0 and - {( c2+bc+c)²- 2b (c)/ ( c2+bc+c)²}= 0
= b(2c+b+1) =0
= b= 0 or b= - (1+2c) = -(2c(c+1))/c2+bc+c = 0
If c=0 , b= -1 => c= 0 or c=-1
If c = -1 ,b = 1
thus we have the following possibility for (b,c)
(0,0) , (0,-1) , (-1,0) ,(1,-1).
At (0,0) f(0,0) = not defined
(0,-1) f(0,-1) = 0
(1,-1) f(1,-1) = 2
(-1,0) is not possible.
p(x) = (x2 +x-1)² + (x2 +x-1) -1
= p(1) = (1+1-1)² + (1+1-1) -1
= 1
Hence, p(1) = 1
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only question 3 A and B please thank you
Answer:
smell my feet nnnnnnnnnsdsdsdnnnsdsdnigdsga
Step-by-step explanation:
Will give brainliest will give brainliest will give brainliest will give brainliest will give brainliest.plz don’t get this weong every time I ask a question on here the people get it wrong
Answer:
x is less than -3 so the answer would be the 3rd choice.
Step-by-step explanation:
Now you can get brainliest
there are no gaps between the bars of this histogram are that way because the bars represent the distribution of continuous or discrete data?
The bars in a histogram are not separated because the data being represented is continuous.
A histogram is a graphical representation of the distribution of data. Histograms are used to illustrate the frequency of data values in a set of information. They provide an estimation of the probability distribution of a continuous variable, which is critical for data analysis in numerous fields.
A histogram can be a bar chart with a frequency count, percentage frequency, or density. Histograms are used to visualize continuous data because they represent an estimation of the underlying probability density function of the random variable that produces the data.
Continuous data is quantitative data that can be measured and manipulated in fractions or decimal points. This data is often represented as a line on a graph. Discrete data, on the other hand, can only take on specific values that are distinct from one another.
Examples of discrete data are the number of pets you have or the number of cars in your garage. They can also be represented graphically as a bar graph because the information falls into discrete bins.
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Pls, i need help for this quedtions I need a step by step explanation ASAP please
The solutions to the radical equations for x are
x = 19/4x = -2.48 and x = 2.15How to solve the radical equations for xFrom the question, we have the following parameters that can be used in our computation:
3/(x + 2) = 1/(7 - x)
Cross multiply
x + 2 = 21 - 3x
Evaluate the like terms
4x = 19
So, we have
x = 19/4
For the second equation, we have
(3 - x)/(x - 5) - 2x²/(x² - 3x - 10) = 2/(x + 2)
Factorize the equation
(3 - x)/(x - 5) - 2x²/(x - 5)(x + 2) = 2/(x + 2)
So, we have
(3 - x)(x + 2) - 2x² = 2(x - 5)
Open the brackets
3x + 6 - x² - 2x - 2x² = 2x + 10
When the like terms are evaluated, we have
3x² + x + 4 = 0
So, we have
x = -2.48 and x = 2.15
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oint c is the center of the circle above. what fraction of the area of the circle is the area of the shaded regio
Fraction of the area of the circle is the area of the shaded region is 5/18.
From the figure:
The shaded region has angle = 100
In the circle the total angle is 360.
Fraction = 100/360
= 50/180
= 25/90
= 5/18
Therefore fraction of the area of the circle is the area of the shaded region is 5/18.
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Find 6,650/35. please help me i tried using calculator but it put 0.19
Answer:
113
i did it in the caculater and this is what showed.
Answer:
That's odd, the actual answer is 6650 / 35 = 190
Good luck! Hope this helped :)
Karen has a square rug that covers 76.5 ft^2 of her living room floor. Which measurement is closest to the side length of this rug in feet?
A. 8 ft
B. 9 ft
C. 19 ft
D. 20 ft
E. 38 ft
F. None of the above
how to find the nth term
Answer:
Write full question
I cannot understand
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.
I need help!!!!!!!!!!!!!
Answer:
D i think
Step-by-step explanation:
Tickets for a tour of a city cost $5. A tour will only happen when a total of at least 20 tickets and no more than 45 tickets have been sold. The income from ticket sales, y, when there are x tickets sold for the tour can be modeled using a linear function. For one tour, what is the range of the function for this situation?
Answer:
y(x)=5x for (20≥x≤40)
Step-by-step explanation:
Step one :
Given data
Cost of ticket =$5
Given that the number of tickets to be sold for the tour to happen should be at least 20 and not more than 40
Step two :
Let the number of tickets be x
And let the revenue or income be y
The function for the cost is expressed linearly as
y(x)=5x
The domain is y(x)=5x for (20≥x≤40)
one side of a triangle is increasing at a rate of 3 centimeters per second, and a second side is decreasing at a rate of 2 centimeters per second. if the area of the triangle remains constant, at what rate does the angle between the side change when the first side is 20 centimeters long, the second side is 30 centimeters long, and the angle is π/6 radians?
When the first side is 20 cm long, the second side is 30 cm long, and the angle is /6 radians, the angle between the sides is changing at a rate of -0.15 radians per second.
Let's denote the two sides of the triangle that are changing as x and y, where x is increasing at a rate of 3 cm/s and y is decreasing at a rate of 2 cm/s. Let A be the angle between these two sides, and let A be the area of the triangle, which is constant.
We can use the formula for the area of a triangle:
A = 1/2 xy sin(A)
where sin(A) is the sine of the angle A.
Taking the derivative of this equation with respect to time t, we get:
dA/dt = 1/2 [(dx/dt) y sin(A) + x (dy/dt) sin(A) + xy cos(A) (dA/dt)]
Simplifying this equation and plugging in the given values, we get:
0 = 1/2 [(3)(30) sin(π/6) + (20)(-2) sin(π/6) + (20)(30) cos(π/6) (dA/dt)]
Solving for dA/dt, we get:
dA/dt = [-45/(600 cos(π/6))] cm²/s
dA/dt = -0.15 cm²/s
Therefore, the angle between the sides is changing at a rate of -0.15 radians per second when the first side is 20 cm long, the second side is 30 cm long, and the angle is π/6 radians.
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The area of a carpet is 120 sq.meters . It's length is 2 meters more than it's width . What is the length of the rectangle ?
Answer:
10x12
.................
Answer:
10 times 12
Step-by-step explanation:
421 divide by 27 with remadire help
Answer:
Therefore, the answer to 421 divided by 27 calculated using Long Division is:
15
16 Remainder
Step-by-step explanation:
421 = dividend
27 = divisor
Step 1:
Start by setting it up with the divisor 27 on the left side and the dividend 421 on the right side like this:
2 7 ⟌ 4 2 1
Step 2:
The divisor (27) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
2 7 ⟌ 4 2 1
Step 3:
Multiply the divisor by the result in the previous step (27 x 0 = 0) and write that answer below the dividend.
0
2 7 ⟌ 4 2 1
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
2 7 ⟌ 4 2 1
- 0
4
Step 5:
Move down the 2nd digit of the dividend (2) like this:
0
2 7 ⟌ 4 2 1
- 0
4 2
Step 6:
The divisor (27) goes into the bottom number (42), 1 time(s). Therefore, put 1 on top:
0 1
2 7 ⟌ 4 2 1
- 0
4 2
Step 7:
Multiply the divisor by the result in the previous step (27 x 1 = 27) and write that answer at the bottom:
0 1
2 7 ⟌ 4 2 1
- 0
4 2
2 7
Step 8:
Subtract the result in the previous step from the number written above it. (42 - 27 = 15) and write the answer at the bottom.
0 1
2 7 ⟌ 4 2 1
- 0
4 2
- 2 7
1 5
Step 9:
Move down the last digit of the dividend (1) like this:
0 1
2 7 ⟌ 4 2 1
- 0
4 2
- 2 7
1 5 1
Step 10:
The divisor (27) goes into the bottom number (151), 5 time(s). Therefore put 5 on top:
0 1 5
2 7 ⟌ 4 2 1
- 0
4 2
- 2 7
1 5 1
Step 11:
Multiply the divisor by the result in the previous step (27 x 5 = 135) and write the answer at the bottom:
0 1 5
2 7 ⟌ 4 2 1
- 0
4 2
- 2 7
1 5 1
1 3 5
Step 12:
Subtract the result in the previous step from the number written above it. (151 - 135 = 16) and write the answer at the bottom.
0 1 5
2 7 ⟌ 4 2 1
- 0
4 2
- 2 7
1 5 1
- 1 3 5
1 6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 421 divided by 27 calculated using Long Division is:
15
16 Remainder
More Information
If you enter 421 divided by 27 into a calculator, you will get:
15.5926