Answer:
484ed+36_67'ten 355+(36)8wwhThe lowest cost of the tiles for George, for coring the considered triangular floor with the tiles of rate £39.95 per meter sq. is £226.3 approximately.
How can we interpret measurement of something?Remember that volume, area, length etc all are measured relatively.
If you are 1.7 meters tall, then you're height is measured relative to meters. This is called unit of the measurement. It means that if we collect 1 meter and 0.7 meters too,they together will be equally tall as you.
Similarly, if we say that a triangle has area of 40 square inches, then it means that its area is equal to 40 squares of 1 inch sides.
In the same way, volume is measured usually relative to unit cubes. Like how many unit cubes (cubes with 1 unit length of their sides) can be fitted (without any overlap or gap, but can be sliced to make them fit inside) inside the considered shape.
For this case, the tiles we will use will have the same area as the area of the triangular floor.
The triangular floor is of height and base of size 305 cm and 371.5 cm
Since the price rate of tiles is in meter sq, so it would be better if we convert the legths specified in meters.
100 cm = 1 m
1 cm = 1/100 m
305 cm = 305/100 = 3.05 m
371.5 cm = 3.715 m
The area of a triangle is half of the product of its base and height.
Thus, we get:
Area of tiles that will be used = area of the considered triangular floor =
[tex]\dfrac{3.05 \times 3.715}{2} \approx 5.665 \: \rm m^2[/tex]
Since 1 sq. m cost £39.95, therefore, 5.665 sq. meters will cost [tex]5.665 \times 39.95 \approx 226.3 \: \rm euros[/tex]
Thus, the lowest cost of the tiles for George, for coring the considered triangular floor with the tiles of rate £39.95 per meter sq. is £226.3 approximately.
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Write 9/7 as a mixed number. Give your answer in its simplest form.
Answer:
1 2/7 ........................................
Answer:
1 2/7.
Step-by-step explanation:
Divide 9 by 7 :- this gives 1 with a remainder of 2.
So it is 1 2/7.
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
al of
10. A square field has four sprinklers that spray
in the areas represented by the circles below. If
the shaded portion represents area that is not
reached by the sprinklers, find the total area that
is not reached by the sprinklers.
Using the areas of the sqaure and of the circle, it is found that the total area that is not reached by the sprinklers is of 343.36 ft².
What is the area of a square?The area of a square of side length l is given by:
A = l²
In this problem, we have that l = 40 ft, hence:
A = (40 ft)² = 1600 ft².
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, we have four circles of radius r = 10 ft, hence it's combined area, in square feet, is given by:
[tex]A_c = 4\pi (10)^2 = 400\pi = 1256.64 \text{ft}^2[/tex]
The area not reached by the sprinklers is the subtraction of the area of the square by the area of the circle, hence:
1600 - 1256.64 = 343.36 ft².
More can be learned about the area of a rectangle at https://brainly.com/question/10489198
Which ordered pair (a, b) is the solution to the given system of linear equations? 3a+b= 10 -4a-2b=2
(1,7)
(3, 1)
(11, -23)
(23, -11)
Hello,
answer C (11,-23)
[tex]\left\{\begin{array}{ccc}3a+b&=&10\\-4a-2b&=&2\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+2b&=&20\\-4a-2b&=&2\end{array}\right.\\\\\\\left\{\begin{array}{ccc}3a+b&=&10\\2a&=&22\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&11\\b&=&10-3*11\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&11\\b&=&-21\end{array}\right.\\[/tex]
Answer: C. (11,-23)
Step-by-step explanation:
Can someone please help?
Step-by-step explanation:
So, so, to attempt this, we need to use the formula :-
2 (l + b) × h ---> For Lateral surface area
2(30+30) h = 7200
2×60×h = 7200
120 × h = 7200
h = 7200/120
h = 60 cm
Now, volume = l×b×h
= 30×30×60
= 54000 cm³ is the required answer.
Hope it helps! :D
A table is on sale for $247, which is 76% of the regular price.
What is the regular price?
Answer:
$325
Step-by-step explanation:
Find the regular price by dividing 247 by 0.76:
247/0.76:
= 325
So, the regular price was $325
Mr. Clinton went to the lumber company. He bought 6 boards at a cost of $4.12 per board and 5 pounds of nails at $0.78 per pound. What was the total cost for these items (not including tax)?
Answer:
djjdjdjdjdjdjdjdjdidi
$28.62 not including tax.
f(x,y)=x10-3xy2then fz=
A. 10 x9 - 3y2
B. 20 x9 - 3y2
C. 2y2
D. 10x10 + xy2
which option is correct please
Given:
The function is:
[tex]f(x,y)=x^{10}-3xy^2[/tex]
To find:
The value of [tex]f_x[/tex].
Solution:
We need to find the value of [tex]f_x[/tex]. So, we have to find the first order partial derivative of the given function with respect to x.
We have,
[tex]f(x,y)=x^{10}-3xy^2[/tex]
Differentiate partially with respect to x.
[tex]f(x,y)=\dfrac{\partial}{\partial x}x^{10}-3y^2\dfrac{\partial}{\partial x}x[/tex]
[tex]f_x=10x^{10-1}-3y^2(1)[/tex]
[tex]f_x=10x^{9}-3y^2[/tex]
Therefore, the correct option is A.
For the same set of observations on a specified dependent variable, two different independent variables were used to develop two separate simple linear regression models. A portion of the results is presented below.
Based on the results given above, we can conclude that:_______.
A. A prediction based on Model 1 is better than a prediction based on Model 2.
B. A prediction based on Model 2 is better than a prediction based on Model 1.
C. There is no difference in the predictive ability between Model 1 and Model 2.
D. There is not sufficient information to determine which of two models is superior for prediction purposes.
Answer:
A. A prediction based on Model 1 is better than a prediction based on Model 2.
Step-by-step explanation:
Given :
Model 1 :
R² = 0.92
s = 1.65
Model 2 :
R² = 0.85
s = 1.91
The Coefficient of determination of the first model is 0.92 which is greater than the coefficient of determination of the Second model, the coefficient of determination gives the proportion of variation in the dependent variable which is caused by the regression line. Hence, we can say a prediction based on Model 1 is better than a prediction based on Model 2 because a larger proportion of the variation in the dependent variable is predictable from the independent variable.
Can you tell me the procedure of these
x-7 = -2
x-1 = 7
9-x = -10
Can someone help me find the volume of this?
Answer:
227.5
Step-by-step explanation:
basically for a triangle prism you would do is
(1÷2) since it's a triangle and multiple all 3 angels
ex: 1/2 × 5 × 7 × 13
Answer:
227.5 cubic yards
Step-by-step explanation:
Formula for area of triangular prism is:
1/2 • length x height x width
Use formula with the given dimensions:
1/2 • 7 • 5 • 13 = 227.5
x^2-9x+20 the factor of this trinomial are(____)(___)
Answer:
(x-4) (x-5)
Step-by-step explanation:
* means multiply
first you figure out what 2 numbers
when added make 9
when multiplied make 20
those are 4 and 5
(x 4) (x 5)
in this case
-4 -5 make -9
-4 * -5 make 20
(x-4) (x-5)
Answer:
(x-4)(x-5)
Step-by-step explanation:
Firstly you need to use the second equation formula to get the value of x.
x= [tex]\frac{-(-9)+- \sqrt{(-9)^{2}-4*1*20 } }{2*1}[/tex]
x= [tex]\frac{9+- \sqrt{81-80 } }{2}[/tex]
x= [tex]\frac{9+-1}{2}[/tex]
so,
x=[tex]\frac{9+1}{2}[/tex] x=5
and
x=[tex]\frac{9-1}{2}[/tex] x=4
When writing the factor, we have to change signs of 5 and 4. So it will be -5 and -4.
That's why the awnser is (x-4)(x-5)
Hope it helps!
The standard form of an absolute value function is R(x) = a|x-h|+k Which of the following represents the vertex?
o (-k,h)
o (-1,K)
o (k,h)
o (h,k)
Answer:
o (h,k)
Step-by-step explanation:
If the two lines below are perpendicular and the slope of the red line is -7,
what is the slope of the green line?
10
10
A. 7
ОО
B. -7
C. 1
Answer:
C. ⅐
Step-by-step explanation:
Recall: the slope of a line that is perpendicular to another is the negative reciprocal of the slope of the other line that it is perpendicular to.
Thus:
Slope of red line = -7
The green line that is perpendicular to the red line will have a slope that is the negative reciprocal of -7.
Negative reciprocal of -7 = ⅐
The slope of the green line is therefore ⅐
A shopkeeper supplies 42 kg of vegetables to a school canteen in the morning and 58 kg of vegetables in the evening if cost of 1kg vegetable is 16 rupees how much money is due to the canteen per day?
evaluate the expression when b= -6 and c=3
-4c+b
Answer:
-18
Step-by-step explanation:
b = -6
c = 3
-4c + b = ?
Plug in the value of each variable into the equation
-4c + b = ?
= -4(3) + (-6)
= -12 - 6
= -18
Find the slope of the line that passes through the two points. 4,4 & 4,9
HELPPPPPPP
Answer:
is 22
Step-by-step explanation:
Answer:
It doesn't have a slope?
Step-by-step explanation:
Knowing that the slope equation is y2-y1/x2-x1
9-4 5
----- = ------ = 0
4-4 0
this means that the slope is 0...
The volume V of a rectangular solid can be expressed as a formula in terms of the length L, width w, and height h. Solve this formula for w.
WE
(Simplify your answer.)
Please help :)
Answer:
[tex] W = \frac {V}{LH} [/tex]
Step-by-step explanation:
Let the length of the rectangle be LLet the width of the rectangle be WLet the height of the rectangle be HMathematically, the volume of a rectangular solid is given by the formula;
V = L * W * H
V = LWH
Making W the subject of formula, we have;
[tex] W = \frac {V}{LH} [/tex]
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation.
p(x, y) y
0 1 2
x 0 0.10 0.03 0.01
1 0 08 0.20 0.06
2 0.05 0.14 0.33
(a) Given that X = 1, determine the conditional pmf of Y�i.e., pY|X(0|1), pY|X(1|1), pY|X(2|1).
(b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island?
(c) Use the result of part (b) to calculate the conditional probability P(Y ? 1 | X = 2).
(d) Given that two hoses are in use at the full-service island, what is the conditional pmf of the number in use at the self-service island?
Answer:
(a): The conditional pmf of Y when X = 1
[tex]p_{Y|X}(0|1) = 0.2353[/tex]
[tex]p_{Y|X}(1|1) = 0.5882[/tex]
[tex]p_{Y|X}(2|1) = 0.1765[/tex]
(b): The conditional pmf of Y when X = 2
[tex]p_{Y|X}(0|2) = 0.0962[/tex]
[tex]p_{Y|X}(1|2) = 0.2692[/tex]
[tex]p_{Y|X}(2|2) = 0.6346[/tex]
(c): From (b) calculate P(Y<=1 | X =2)
[tex]P(Y\le1 | X =2) = 0.3654[/tex]
(d): The conditional pmf of X when Y = 2
[tex]p_{X|Y}(0|2) = 0.025[/tex]
[tex]p_{X|Y}(1|2) = 0.150[/tex]
[tex]p_{X|Y}(2|2) = 0.825[/tex]
Step-by-step explanation:
Given
The above table
Solving (a): The conditional pmf of Y when X = 1
This implies that we calculate
[tex]p_{Y|X}(0|1), p_{Y|X}(1|1), p_{Y|X}(2|1)[/tex]
So, we have:
[tex]p_{Y|X}(0|1) = \frac{p(y = 0\ n\ x = 1)}{p(x = 1)}[/tex]
Reading the data from the given table, the equation becomes
[tex]p_{Y|X}(0|1) = \frac{0.08}{0.08+0.20+0.06}[/tex]
[tex]p_{Y|X}(0|1) = \frac{0.08}{0.34}[/tex]
[tex]p_{Y|X}(0|1) = 0.2353[/tex]
Using the format of the above formula for the rest, we have:
[tex]p_{Y|X}(1|1) = \frac{0.20}{0.34}[/tex]
[tex]p_{Y|X}(1|1) = 0.5882[/tex]
[tex]p_{Y|X}(2|1) = \frac{0.06}{0.34}[/tex]
[tex]p_{Y|X}(2|1) = 0.1765[/tex]
Solving (b): The conditional pmf of Y when X = 2
This implies that we calculate
[tex]p_{Y|X}(0|2), p_{Y|X}(1|2), p_{Y|X}(2|2)[/tex]
So, we have:
[tex]p_{Y|X}(0|2) = \frac{p(y = 0\ n\ x = 2)}{p(x = 2)}[/tex]
Reading the data from the given table, the equation becomes
[tex]p_{Y|X}(0|2) = \frac{0.05}{0.05+0.14+0.33}[/tex]
[tex]p_{Y|X}(0|2) = \frac{0.05}{0.52}[/tex]
[tex]p_{Y|X}(0|2) = 0.0962[/tex]
Using the format of the above formula for the rest, we have:
[tex]p_{Y|X}(1|2) = \frac{0.14}{0.52}[/tex]
[tex]p_{Y|X}(1|2) = 0.2692[/tex]
[tex]p_{Y|X}(2|2) = \frac{0.33}{0.52}[/tex]
[tex]p_{Y|X}(2|2) = 0.6346[/tex]
Solving (c): From (b) calculate P(Y<=1 | X =2)
To do this, where Y = 0 or 1
So, we have:
[tex]P(Y\le1 | X =2) = P_{Y|X}(0|2) + P_{Y|X}(1|2)[/tex]
[tex]P(Y\le1 | X =2) = 0.0962 + 0.2692[/tex]
[tex]P(Y\le1 | X =2) = 0.3654[/tex]
Solving (d): The conditional pmf of X when Y = 2
This implies that we calculate
[tex]p_{X|Y}(0|2), p_{X|Y}(1|2), p_{X|Y}(2|2)[/tex]
So, we have:
[tex]p_{X|Y}(0|2) = \frac{p(x = 0\ n\ y = 2)}{p(y = 2)}[/tex]
Reading the data from the given table, the equation becomes
[tex]p_{X|Y}(0|2) = \frac{0.01}{0.01+0.06+0.33}[/tex]
[tex]p_{X|Y}(0|2) = \frac{0.01}{0.40}[/tex]
[tex]p_{X|Y}(0|2) = 0.025[/tex]
Using the format of the above formula for the rest, we have:
[tex]p_{X|Y}(1|2) = \frac{0.06}{0.40}[/tex]
[tex]p_{X|Y}(1|2) = 0.150[/tex]
[tex]p_{X|Y}(2|2) = \frac{0.33}{0.40}[/tex]
[tex]p_{X|Y}(2|2) = 0.825[/tex]
Write the formula of the function y whose graph is shown.
Answer:
This looks like the graph of [tex]f(x)=\frac{1}{x}[/tex] ! That's a reciprocal graph.
I need help with this, please.
Answer:
it can not cleared clear but it can not cleared
Use the graph of y=-2(x-3)^2+2 to find the vertex. Decide whether the vertex is a maximum or a minimum point.
Answer: B. Vertex is a maximum point at (3, 2)
The vertex is the point at the peak of the graph: (3, 2)Since the graph opens downward, it's the maximum point30 POINTS
Help on Part B pleaseeee
In verse of B.g(x)=[tex]\frac{x+5}{4}[/tex] is:
4x-5
Answer:
Solution given:
B.g(x)=[tex]\frac{x+5}{4}[/tex]
let
g(x)=y
y=[tex]\frac{x+5}{4}[/tex]
Interchanging role of x and y
we get:
x=[tex]\frac{y+5}{4}[/tex]
doing crisscrossed multiplication
4x=y+5
y=4x-5
So
g-¹(x)=4x-5
Given that,
→ g(x) = x+5/4
Then g(x)=y,
→ y = x+5/4
Now we can interchange role of x and y,
→ x = y+5/4
Then use the cross multiplication,
→ 4x = y+5
→ y = 4x-5
Hence, g-¹(x) = 4x-5 is the solution.
haggle is making fruit basket which include apples and bananas to send to some of her estate clients she wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. on average each apple weighs 5 ounces and each banana weighs 7 ounces. which system of inequalities can be used to determine the number of apples, x, and banana, y, that battle should include in each basket?
The requirement is fulfilled when 10 bananas and 2 apples are kept in the basket.
The equation can be given as
10y + 2x = 80
Here,
y means 7 ounces (weight of banasas)
x means 5 ounces (weight of apples)
Few drivers realize that steel is used to keep the road surface flat despite the weight of buses and trucks. Steel bars, deeply embedded in the concrete, are sinews to take the stresses so that the stresses cannot crack the slab or make it wavy. The passage best supports the statement that a concrete road
Answer: Is reinforced with other material
Step-by-step explanation:
The options are:
A is expensive to build.
B usually cracks under heavy weights.
C looks like any other road.
D is reinforced with other material.
The passage best supports the statement that a concrete road are reinforced with other material. According to the information given in the passage, steel plays a vital role in keeping the road surface flat.
Steel bars are embedded in concrete so that the stresses cannot crack the slab. Therefore, it indicates that concrete road is reinforced with other material.
Angle ABC has A(3-,6), and C(9,55 as it vertices.
What is the length of side AB in units?
Answer:
7.07 units
Step-by-step explanation:
Given
[tex]A = (-3,6)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (9,5)[/tex]
See comment for complete question
Required
Side length AB
To do this, we make use of the following distance formula;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]d = \sqrt{(-3 - 2)^2 + (6 - 1)^2}[/tex]
[tex]d = \sqrt{(-5)^2 + 5^2}[/tex]
[tex]d = \sqrt{25 + 25}[/tex]
[tex]d = \sqrt{50}[/tex]
[tex]d = 7.07[/tex]
I am having trouble with this problem. If anyone could help that would be great.
Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x^2+y^2=16, 0≤z≤1, and a hemispherical cap defined by x^2+y^2+(z−1)^2=16, z≥1. For the vector field F=(zx+z^2y+4y, z^3yx+3x, z^4x^2), compute ∬M(∇×F)⋅dS in any way you like.
Answer:
Ok... I hope this is correct
Step-by-step explanation:
Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x^(2)+y^(2)=16
Center: ( 0 , 0 )
Vertices: ( 4 , 0 ) , ( − 4 , 0 )
Foci: ( 4 √ 2 , 0 ) , ( − 4 √ 2 , 0 )
Eccentricity: √ 2
Focal Parameter: 2 √ 2
Asymptotes: y = x , y = − x
Then 0≤z≤1, and a hemispherical cap defined by x^2+y^2+(z−1)^2=16, z≥1.
Simplified
0 ≤ z ≤ 1 , x ^2 + y ^2 + z ^2 − 2 ^z + 1 = 16 , z ≥ 1
For the vector field F=(zx+z^2y+4y, z^3yx+3x, z^4x^2), compute ∬M(∇×F)⋅dS in any way you like.
Vector:
csc ( x ) , x = π
cot ( 3 x ) , x = 2 π 3
cos ( x 2 ) , x = 2 π
Since
( z x + z ^2 y + 4 y , z ^3 y x + 3 x , z ^4 x ^2 ) is constant with respect to F , the derivative of ( z x + z ^2 y + 4 y , z ^3 y x + 3 x , z ^4 x 2 ) with respect to F is 0 .
Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-4, -33) (1, 2) (9, 162)
HELP PLZ
9514 1404 393
Answer:
y = x^2 +10x -9
Step-by-step explanation:
Quadratic regression generally requires the use of "technology" to aid in finding the equation of the curve of best fit. Use the technology you've been introduced to.
__
When only a few data points are provided, I prefer to use the Desmos graphing calculator. It shows the equation to be ...
y = x^2 +10x -9
Lara says that she can use this picture to show that two pairs of congruent angles and
one pair of corresponding congruent sides is enough information to prove that two
triangles are congruent. Is Lara correct?
Answer:
Bottom left
Step-by-step explanation:
Mark brainliest please
Yes, Lara is correct.
Congruent triangleTwo triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measureTriangles are congruent when they have exactly the same three sides and exactly the same three angles.How to solve this problem?The steps are as follow:
Since there is a series of rigid motions that will match the triangles up exactly.Also, Lara is correct only if the corresponding congruent side is in between the two anglesThis would be "ASA" triangle congruceny which means Angle Side Angle congrucenySo Lara is correct
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Mis directly proportional to r?
When r= 2, M= 14
a) Work out the value of M when r= 12.
b) Work out the value of r when M = 224.
Answer:
M = 84 , r = 32
Step-by-step explanation:
Given M is directly proportional to r then the equation relating them is
M = kr ← k is the constant of proportion
To find k use the condition when r = 2, M = 14 , then
14 = 2k ( divide both sides by 2 )
7 = k
M = 7r ← equation of proportion
(a)
When r = 12
M = 7 × 12 = 84
(b)
When M = 224 , then
224 = 7r ( divide both sides by 7 )
32 = r
