Answer:
g
Step-by-step explanation:
g
What is the midpoint of the segment shown below? (3, 7) (2, -1)
Answer:
( 2.5 , 3 )Step-by-step explanation:
Let the points be A and B
A ( 3 , 7 ) --------> (x1 , y1 )
B ( 2 , -1 ) --------> ( x2 , y2 )
Finding the midpoint:
\(( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )\)
\( = ( \frac{3 + 2}{2} , \: \frac{7 + ( - 1)}{2} )\)
\( = ( \frac{5}{2} , \: \frac{7 - 1}{2} )\)
\( = ( \frac{5}{2} ,\: \frac{6}{2} )\)
\( = (2.5 ,\: 3)\)
Hope this helps...
Good luck on your assignment ....
Answer:
(2,-1)
Step-by-step explanation:
Welol to find the line of (3,7) and (2,-1) we need to use the following formula,
\(\frac{y^2-y^1}{x^2-x^1}\)
So -1 is y2 7 is y1 so -1 - 7 = -8
2-3 = -1
Hence, the slope of the line is 8.
And graphing more points on the graph using the slope we can see the y intercept is -17.
So the equation is y = 8x - 17
And the mid point is at (2, -1)
prove that any nonzero rational number may be written as the product of two irrational numbers.
If r is a nonzero rational number, then r is a product of two irrational numbers.
If q≠0 is rational and y is irrational, then qy is irrational.
: You know that if G
is a group and H≠G
is one of its subgroups then h∈H
and y∈G∖H
implies that hy∈G∖H
Proof: suppose hy∈H
You know that h−1∈H, and therefore y=h−1(hy)∈H
Contradiction
In our case, we have the group (R∗,⋅) and its proper subgroup (Q∗,⋅). By the arguments above q∈Q∗ and y∈R∖Q implies qy∈R∖Q
.
Simply multiply it by the square root of two to obtain an irrational number. A product of two irrational numbers, your original number is obtained by multiplying this irrational number by the square root of two, which is itself irrational.
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need this, please. real fast
Answer:
9
Step-by-step explanation:
(5x-4)+(6x-5)=90 degrees, because complementary angles add up to 90 degrees. So, 11x-9=90, 11x=99, then x=9.
We-Haul rents a moving truck for a $20.00 rental fee plus $0.50 per mile. You-Haul rents a moving truck for $1.00 per mile but no upfront fee. Part A: Write two equations in slope-intercept form (y = mx + b) to represent the cost of each truck company. y and x should remain variables but numbers should be filled in for m and b.
Answer:
we haul y=.045x+20
you haul y=1x
Step-by-step explanation:
The square root of a number is greater than the square of the number. For what set of numbers is this true?
O (0, 1)
O [0, 1]
O [1,00)
O (1,00)
The given inequality, sqrt(x) > x^2, can be solved by rearranging the terms and factoring to obtain x(x-1)(x+1/4) < 0. Thus, the solution set for this inequality is (0, 1).
To solve the inequality sqrt(x) > x^2, we can start by rearranging the terms to get sqrt(x) - x^2 > 0. We can then factor this expression using the difference of squares formula to obtain (sqrt(x) - x)(sqrt(x) + x) > 0. Since the product of two factors is greater than zero only if both factors have the same sign, we can consider the signs of each factor separately.
The factor sqrt(x) - x is negative for x > 0 and positive for 0 < x < 1. The factor sqrt(x) + x is positive for all x > 0. Therefore, the inequality (sqrt(x) - x)(sqrt(x) + x) > 0 is satisfied for 0 < x < 1.
Finally, we can express the solution set as (0, 1) because the inequality is strict (i.e., the inequality sign is > instead of >=). This means that the endpoints of the interval, x = 0 and x = 1, are not included in the solution set. Therefore, the set of numbers for which the inequality sqrt(x) > x^2 is true is (0, 1).
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Si tienes 24 tubos de 6 metros de longitud cada uno para unir dos puntos que conducen agua , si los tubos fueran de 8 metros ¿ cuantos tubos se necesitarían?
Answer:
Se necesitarían:
18 tubos
Step-by-step explanation:
La longitud total de la tubería con 24 tubos de 6 metros cada uno es:
24*6 = 144 metros
si los tubos fuesen de 8 metros:
144/8 = 18
Se necesitarían:
18 tubos
A thermometer is taken from a room where the temperature is 19oC to the outdoors, where the temperature is −5oC. After one minute the thermometer reads 13oC.
(a) What will the reading on the thermometer be after 4 more minutes?
(b) When will the thermometer read −4oC? minutes after it was taken to the outdoors.
After 4 more minutes, the reading on the thermometer will be 9°C. It will take approximately 10 minutes for the thermometer to read -4°C after being taken outdoors.
The thermometer initially dropped from 19°C to 13°C in 1 minute when taken outdoors. This indicates a temperature decrease of 6°C in 1 minute. Therefore, after 4 more minutes, the thermometer would experience a further decrease of 6°C per minute for a total of 24°C (6°C × 4 minutes). Subtracting this from the initial reading of 13°C, we get 13°C - 24°C = -11°C. However, since the lowest temperature outdoors is -5°C, the reading will stabilize at -5°C after 4 more minutes.
(b) To determine when the thermometer will read -4°C, we can calculate the time it takes for the temperature to decrease by 9°C (-5°C - (-4°C) = -1°C) from the initial reading of 13°C. Since the temperature decreases by 6°C per minute, it will take approximately 9/6 = 1.5 minutes to reach -4°C from 13°C. Therefore, the thermometer will read -4°C approximately 1.5 minutes after being taken outdoors.
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use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2 = 4, above the plane z = 0, and below the cone z2 = 36x2 36y2.
Using cylindrical coordinates ∫∫∫ (r^3cos^2θ) dz dr dθ, where r ranges from 0 to 2, θ ranges from 0 to 2π, and z ranges from 0 to √(36r^2).
To evaluate the integral ∫∫∫ x^2 dV over the solid e, using cylindrical coordinates, we need to express the integral in terms of cylindrical coordinates and determine the appropriate bounds for the variables.
In cylindrical coordinates, the solid e can be defined as follows:
Radius: r ranges from 0 to 2 (from x^2 + y^2 = 4, taking the square root).
Angle: θ ranges from 0 to 2π (full revolution around the z-axis).
Height: z ranges from 0 to the height of the cone, which is determined by z^2 = 36x^2 + 36y^2.
To convert the integral, we need to express x^2 in terms of cylindrical coordinates:
x^2 = (rcosθ)^2 = r^2cos^2θ
The integral in cylindrical coordinates becomes:
∫∫∫ (r^2cos^2θ) r dz dr dθ
Now we can determine the bounds for the variables:
r ranges from 0 to 2.
θ ranges from 0 to 2π.
z ranges from 0 to the height of the cone, which can be determined by setting z^2 = 36r^2.
Substituting the bounds and integrating, we can evaluate the integral to find the desired result.
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To order the right amount of flooring, you need to know the floor area of the living room shown below. What is that area, in square feet?
A floor plan. The living room is 18 feet wide and 10 feet long.
A. 28
B. 53
C. 56
D. 100
E. 180
The area of a rectangular parking lot is 7081 m²
If the length of the parking lot is 97 m, what is its width?
Step-by-step explanation:
So the question is easy ....The thing that you need to do here is ...You should divide area by length....and you will get your answer....
Area of square = l²Area of rectangle = l × bArea of rectangular parking lot = 7081 m²
length of parking lot = 97 m
Width = ?
Now,
Area = l × b
7081 = 97 × b
7081 / 97 = b
b = 73 m
Hence the width is 73 m....
Holly is displaying a postcard collection on a bulletin board that is 35 3/4 inches wide. Each postcard is 5 7/8 inches wide. Holly estimates that the number of postcards she can display in each row is 7. Is this the best estimate Explain
100 POINTS AND BRAINLIEST
Answer:
Yes.
Step-by-step explanation:
By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.
-kiniwih426
Length of board=35 3/4=143/4in
Length of postcard=5 7/8=47/8in
Total postcards
. \(\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}\)
\(\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}\)
\(\\ \sf\longmapsto \dfrac{143}{47}\)
\(\\ \sf\longmapsto 3(Approx)\)
No not best estimated option
Estebe enlarged a 4-inch by 6-inch photograph by a factor of 5/2
What are the new dimensions of the photograph?
Answer:
24 5/2! That's the answe becayse 6 times 4 is 20 add the 2 by two times / multiply the 2 and get 4 add four to 20 now you have your answer
Step-by-step explanation:
The new dimensions are 10 inch by 15 inch.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Estebe enlarged a 4-inch by 6-inch.
scale Factor = 5/2.
So, the Dimensions after enlarging
4 inch = 4 x 5/2 = 10
and, 6 inch = 6x 5/2 = 15
Hence, the new dimensions are 10 inch by 15 inch.
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A line segment has the endpoints P(-7, 6) and Q(-3, 9). Find the coordinates of its
midpoint M
Write the coordinates as decimals or integers.
Answer:
\(MP= (-5,7.5 )\)
Step-by-step explanation:
\(MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\)
\(MP= (\frac{-7+-3}{2} )(\frac{6+9}{2} )\) -7+-3= -10 6+9=15
\(MP= (\frac{-10}{2} )(\frac{15}{2} )\) -10/2=-5 15/2=7.5
\(MP= (-5,7.5)\)
A social networking site currently has 40,912 active members per month, but that figure is dropping by 5% with every month that passes. How many active members can the site expect to have in 10 months?
Answer:
24496
Step-by-step explanation:
40912 * (1-5%) ^10 = 24495.5
becuase they are humans, so round up to 24496
david and merrick start a small business. david invests £12500 in the business. merrick invests £10000 in the business. at the end of the first year they shared the profits in proportion to their investment. merrick recieved £320. how much profit did the business make?
Answer:
£720
Step-by-step explanation:
£320 is 0.032 percent of Merrick's investment.
0.032 times £12500 is £400.
£400 plus £320 is £720
what is 2 1/2 ÷ 1/3
Answer:
15/2
or 7.5
or 7 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Answer:
Exact Form:
15/2
Decimal Form:
7.5
Simplified:
7 1/2
Step-by-step explanation:
Round to nearest hundred thousand
449,387 rounds to _,and 350,030rounds to _.what is the estimate of 449,387+350,030
Answer:
800,000
Step-by-step explanation:
Find the exact length of the given parametric curve.
X= t-3t^3,y = 3t^2 ,0 < t <2
The exact length of the parametric curve is approximately 9.023 units.
How to find the length of the parametric curve?To find the length of the parametric curve given by\(X = t - 3t^3\) and \(Y = 3t^2\), where 0 < t < 2, we can use the formula for the arc length of a parametric curve:
\(L = \int_a^b \sqrt(dx/dt)^2 + (dy/dt)^2 dt\)
where a and b are the limits of the parameter t.
In this case, we have:
\(dx/dt = 1 - 9t^2\)
dy/dt = 6t
Therefore,
\((\sqrt(dx/dt)^2 + (dy/dt)^2) = \sqrt((1 - 9t^2)^2 + 36t^2)\)
The limits of integration are 0 and 2, since 0 < t < 2.
So, the length of the curve is:
\(L = \int_0^2 \sqrt((1 - 9t^2)^2 + 36t^2) dt\)
This integral is difficult to solve analytically, but we can use numerical methods to approximate its value.
Using a numerical integration method such as Simpson's rule with a large number of subintervals, we find that the length of the curve is approximately 9.023 units.
Therefore, the exact length of the parametric curve is approximately 9.023 units.
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Use rise/run for this
Answer:
The table displays a higher rate because the slope in the table is bigger than the slope in the graph.
What does a graph's slope mean?
The graph's slope serves as a gauge for a line's steepness. It is the ratio of any two places on the line's vertical change (rise) to horizontal change (run). Slope is defined mathematically as: Slope (m) = (change in y)/(change in x).
The slope from the table is:
y2 - y1/x2 - x1
m = 42 - 30/7 - 5
= 6
The slope from the graph is:
8 - 0/1.5 - 0
m = 5.33
PLSSSSS HELP ME I WILL GIVE BRAINLIEST
Answer:
y-intercept is (0,5)
Step-by-step explanation:
When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.
For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).
But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)
Which set of ordered pairs represents a function?
{(-2, 0), (-5, -5), (-1, 3), (2, 0) }{(−2,0),(−5,−5),(−1,3),(2,0)}
{(-3, 9), (3, -9), (-3, -5), (-5, 0)}{(−3,9),(3,−9),(−3,−5),(−5,0)}
{(4, -6), (1, -3), (1, 1), (-2, 9)}{(4,−6),(1,−3),(1,1),(−2,9)}
{(-3, -2), (3, -9), (-7, -6), (-3, -3)}{(−3,−2),(3,−9),(−7,−6),(−3,−3)}
Since this vertical line intersects the graph of the set at two points, the set of ordered pairs {(−3,−2),(3,−9),(−7,−6),(−3,−3)} does not represent a function.The answer is: {(−3,−2),(3,−9),(−7,−6)}.
In order to determine if a set of ordered pairs represents a function, we must check for the property of a function known as "vertical line test".
This test simply checks if any vertical line passing through the graph of the set of ordered pairs intersects the graph at more than one point.If the test proves to be true,
then the set of ordered pairs is a function. However, if it proves false, then the set of ordered pairs does not represent a function.
Therefore, applying this property to the given set of ordered pairs, {(−3,−2),(3,−9),(−7,−6),(−3,−3)},
we notice that a vertical line passes through the points (-3, -2) and (-3, -3).
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Select all that apply) For the set, {1, 2, 3, 4} and the relation, {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} determine whether this relation is reflexive, symmetric, antisymmetric, and transitive. (Could be multiple)
The relation is for the set, {1, 2, 3, 4} and the relation, {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (4, 4)} reflexive, symmetric, and transitive.
Let's analyze the relation for each property:
1. Reflexive: A relation is reflexive if for every element a in the set, (a, a) is in the relation. In this case, we have (1, 1), (2, 2), (3, 3), and (4, 4), so the relation is reflexive.
2. Symmetric: A relation is symmetric if for every (a, b) in the relation, (b, a) is also in the relation. We have (1, 2) and (2, 1) in the relation, so it is symmetric.
3. Antisymmetric: A relation is antisymmetric if for every (a, b) and (b, a) in the relation, a must equal b. Since the relation is symmetric with (1, 2) and (2, 1), it cannot be antisymmetric.
4. Transitive: A relation is transitive if for every (a, b) and (b, c) in the relation, (a, c) is also in the relation. We have (1, 2) and (2, 1) in the relation, and (1, 1) is also in the relation, so it is transitive.
In summary, the relation is reflexive, symmetric, and transitive.
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each pair of figures is similar find the missing side
PLEASE HELP I AM SO BEHIND ON ALGEBRA
Answer:
1) x=5
2) x=72
Step-by-step explanation:
errrrrrr being behind on algebra is worrying but what's really worrying is that this is geometry.
but ye you it has an x in it
1) form a ratio out of the bottom sides
2:6=1:3
so x=5
2) make another ratio:
12:72=1:6
x=72
Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10f + 6 + 5-8
The expression when evaluated is 10f + 3
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
10f + 6 + 5-8
Collect the like terms
So, we have the following representation
10f + 6 + 5-8 = 10f + 6 + 5-8
Evaluate the like terms in the expression
So, we have the following representation
10f + 6 + 5-8 = 10f + 3
Hence, teh expression is 10f + 3
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Given that y varies directly as x, write an equation
for the relationship if y=-4 when x=10.
A) y=-4x+10
B) y=-0.4x
C) y=0.4x
D) y=-2.5x
I know how to do this, but for some reason got it wring on a Test. Can someone demonstrate how to do it so that I know what I'm doing wrong?
Answer:
Answer on a graph
Drew triangle JKL, with a height of inches and a base of inches, and triangle XYZ, with a height of inches and a base of inches. Which triangle has the greater area?
Triangle JKL has a greater area than triangle XYZ, as it has an area of 98 square inches
To determine which triangle has the greater area, we need to use the formula for the area of a triangle, which is half the product of the base and height.
For triangle JKL, with a base of 14 inches and a height of 14 inches, we have:
Area = (14 x 14) / 2 = 98 square inches
For triangle XYZ, with a base of 20 inches and a height of 8 inches, we have:
Area = (20 x 8) / 2 = 80 square inches
Therefore, triangle JKL has a greater area than triangle XYZ, as it has an area of 98 square inches compared to 80 square inches for triangle XYZ. This is because the base and height of triangle JKL are both larger than those of triangle XYZ.
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Draw triangle JKL, with a height of 14 inches and a base of 14inches, and triangle XYZ, with a height of 8 inches and a base of 20 inches. Which triangle has the greater area? in 100 words
The image of the point ( 0 , 7 ) (0,7) under a translation is ( − 2 , 5 ) (−2,5). Find the coordinates of the image of the point ( 5 , − 2 ) (5,−2) under the same translation.
Given:
The image of the point (0,7) under a translation is (−2,5).
To find:
The coordinates of the image of the point (5,−2) under the same translation.
Solution:
It is given that, the image of the point (0,7) under a translation is (−2,5). Here, the x-coordinate decreased by 2 and the y-coordinate decreased by 2 so the rule of translation is:
\((x,y)\to (x-2,y-2)\)
Using this rule of translation, the image of (5,−2) is
\((5,-2)\to (5-2,-2-2)\)
\((5,-2)\to (3,-4)\)
Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).
X=mn/p
solve for m
Answer:
Step-by-step explanation:
Multiply both sides by p to get:
xp = mn
Now divide both sides by n to get:
xp/n = m
Which of the diagram represents the inequality-1<=y<=3