[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-7)}}} \implies \cfrac{6 +8}{-5 +7} \implies \cfrac{ 14 }{ 2 } \implies \text{\LARGE 7}[/tex]
A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line. "
1. How many marbles must be in the fifth line?
Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.
Define the unitary method.The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.
Here,
Every subsequent line, beginning with one, contains two less characters than the one before it.
This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.
This implies that you will receive 4 marbles for the following line.
As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.
(4) = ten marbles.
10×2=20
20-2=18
(5) line = (18)
18×2=36
36-2=34
Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.
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The nine points of this grid are equally spaced horizontally and vertically. The distance between two neighboring points is 1 unit. What is the area, in square units, of the region where the two triangles overlap
The area, in square units, of the region where the two triangles overlap is found as 1 square units.
What is described as the coordinates?A point's position with regard to a specific reference frame is indicated by its coordinates, which can be either linear or angular values. X and Y are frequently used to denote a point's coordinates in a two-dimensional plane.We can determine the equation for each line with in diagram using its coordinates.
We can determine the coordinates for each point. (1/4,3/4) is one of the intersections.
d² = 2² + 2² = 8
A₁ = (1/3d + 1/6d )/2 * 1/4d
A₁ = 1/4d * 1/4d
A₁ = 1/ 16 d²
Now,
A = 2A₁
A = 2.(1/16)d²
A = 1/8d²
A = 1/8 *8
A = 1
Thus, the area, in square units, of the region where the two triangles overlap is found as 1 square units.
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Answer:
1 square unit
Step-by-step explanation:
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 1.8%
Step-by-step explanation:
I used the A=PRT equation
Please help!! Pleaseeee
Is 2 a happy number?
No, 2 is not a happy number because 2 can not become 1 after a series of stages in which each step 2 is replaced by the sum of its squares
Let's try to first comprehend what numbers are.
An arithmetic value that is calculated and utilized to represent a quantity is called a number. Numeral symbols, such as "3" are used in writing to represent numbers. A number system is a methodical technique to express numbers using digits or other symbols. The numerical system is a helpful collection of numbers that illustrates the number's algebraic and mathematical structure. presents an example that is typical.
Happy numbers If a number leads to 1 after a series of stages in which each step's number is replaced by the sum of its squares, it is said to be happy. For example, if we start with a happy number and keep replacing it with the sum of its squares, we eventually reach 1.
So 2 is not a happy number.
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Questions with Bounds:
1) Andy Mann is building a garden fence out of planks. The planks are 10cm wide to the nearest cm. He needs to make 75 m of fencing altogether, correct to the nearest meter. How many planks does he need to order to make sure he has enough to complete the fence?
A total of 785 planks Andy Mann needs to order to make sure he has enough to complete the fence.
As the planks are 10cm wide to the nearest cm.
The total length of the fencing is = 75 m
From above, we can conclude that,
Range of the planks' lengths: 9.5 cm <= Plank's length < 10.5 cm
Range of fencing needed: 74.5 m <= Fence length < 75.5 m
We should consider the worst-case scenario where all the planks are 9.5 cm.
To complete the job, he only needs 74.5 m in total.
So, the total number of planks needed for completing the Job will be
= (74.5 * 100) / 9.5 = (7.84210*100) = 784.210
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y-int coordinates of y=x^2-5x+6, please explain
The y intercepts of the quadratic equation y = x² - 5x + 6 is given by (0 , 6)
and the x intercepts are ( 3 , 0 ) and ( 2, 0 )
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = x² - 5x + 6 be equation (1)
On simplifying the equation , we get
y = x² - 2x - 3x + 6
Taking the common factors of the equation , we get
y = x ( x - 2 ) - 3 ( x - 2 )
On factorizing the equation , we get
y = ( x - 3 ) ( x - 2 )
To find the y intercepts , substitute the value of x = 0 , we get
y = ( 0 - 3 ) ( 0 - 2 )
y = ( -3 ) ( -2 )
So , y = 6
Hence , the y intercepts of the equation is ( 0 , 6 )
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I WILL GIVE BRAILIEST PLEASE HELP
Answer:
Step-by-step explanation:
6. 8.50 x 1.06=9.01 cost of book plus tax
10-9.01=.99 change Henry will receive back
7. $12 x 1.085=13.02 total costs of ticket
5. 216/1.08=$200. $216-200=$16 sales tax paid
3. 85 x 1.08=$91.80
4. 687.50 x 1.06=728.75
What number converts to 10.10%
I guess it's "0.101"
The cost of 3 cheese sandwiches and 2 bottles of water is £7. 80. The cost of 5 cheese sandwiches and 4 bottles of water is £14. 20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?
One cheese sandwich costs $1.4 and one bottle of water costs $1.8.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.
3x+2y=7.8
5x+4y=14.2
(3x+2y=7.8)*2
6x+4y=15.6
5x+4y=14.2
x=$1.4
y=$1.8
The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.
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find the unit rate! help me with this please!!
Answer:
the answer is 81 rotations per minute
ASAP
-JUST ANSWER- PLSSSSS
Answer:
D 100 revolution is your answer
if b is between a and c then ab+bc=ac q is betweenn r and s conclusion
How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown
9 non-congruent squares can be drawn.
What is non-congruent squares?Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.
Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.
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How many terms are there in the expression 2p 3 3p 2 4p 7 *?
The total number of terms which are in the polynomial expression –2p³ – 3p² + 4p + 7 is 4 terms.
A polynomial expression is made up of multiple terms joined either by addition , subtraction or multiplication or division.
The given expression is
–2p³ – 3p² + 4p + 7
If we will break them down in simpler terms we will get ,
–2p³, – 3p², + 4p, + 7
Therefore, number of terms are found to be 4
The terms of an algebraic expression are referred to as the the components of that expression . An algebraic expression can have one or more terms.
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PLEASE HURRY!!!
what's the answer for 1 and 2?
Answer:
C and D
Step-by-step explanation:
l faux off Gabba off KK kk haha BB mm hd h
# 8 and # 9 please :))
Answer:
8) y > -x-3
9) One point that is a solution would be (0, 0). One point that is not a solution would be (0, -3).
Step-by-step explanation:
9) We can look at the graph to the left and know that anything shaded is considered to be a solution, thus, (0, 0) would be a solution. While (0, -3) is on the line itself, the inequality only includes numbers greater (to the right) than the line, therefore anything less (to the left) than or equal to the line would not be a solution.
how many times as large as 4^4 is 4^7
Answer:
Step-by-step explanation:
Note that 4^7 = 4^4*4^3.
Compare 4^4 and 4^4 * 4^3. The last factor is 64. So 4^7 is 64 times larger than 4^4.
4⁷ is 64 times larger than 4⁴.
What is the power?
The power of a number is the multiplication with the same number as many times as the power.
Given,
Therefore, 4⁷/4⁴ = 4⁷⁻⁴ = 4³ = 64.
Hence, 4⁷ is 64 times larger than 4⁴.
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i need help with this question
The average rate of driving from Newyork to Boston is d. 54 mph.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, The distance you drive is proportional to the time.
We know, The arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.
Therefore,
The average rate of driving is,
= (216/4) mph.
= 54 mph.
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A particle traveled a distance of 9. 0 x 1012 meters at a rate of 1. 8 x 105 meters
per second. If distance = rate x time, how many seconds did it take the particle to
travel the specified distance?
A particle takes 5 × 10^7 sec of time to travel a distance of 9.0 × 10^12 meters at a rate of 1.8 × 10^5 meters.
What is speed?
Speed indicates how quickly something or someone is moving. If one knows how far something has travelled and how long it took to get there, then one can calculate its average speed.
The particle travels at a rate of 1.8 × 10^5 m.
The particle travels a distance of 9.0 × 10^12 m.
Let the time taken for the particle to travel be x.
The formula for calculating the distance traveled by the particle is -
distance = rate × time
time = distance/rate
Plugging in the values in the equation -
x = 9.0 × 10^12/1.8 × 10^5
x = 9.0/1.8 × (10^12-5)
x = 5 × 10^7 sec
Therefore, the time taken by the particle to travel is 5 × 10^7 sec.
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The area of a sector of a circle is
18 pie cm². The radius of the circle is
6 cm. The angle in the sector is
Answer:
The angle in the sector is 180°.
Because the area of circle is 36 pie cm². So the angle is the half of 360°.
[tex]\boxed{\begin{array}{l} \\ \sf\huge{ \quad \underline{Answer} } \\ \\ \underline{ \underline\textsf{ Area of sector is given by : }} \\ \\ \dashrightarrow \sf{ A = \dfrac{ \theta}{360 \degree} \times \pi {r}^{2} } \\ \\ \dashrightarrow\sf{18 \pi = \dfrac{ \theta}{360 \degree} \times \pi {(6)}^{2} } \\ \\ \dashrightarrow \dfrac{ \theta}{360 \degree} = \dfrac{18 \pi}{ \pi(36)} \\ \\ \dashrightarrow \theta = 360 \degree \times \dfrac{1}{2} \\ \\ \dashrightarrow\theta = 180 \degree \\ \\ \end{array} } [/tex]
HELP ME PLSSSSS LIKE RNNNN
WILL GIVE BRAINLIEST
Answer:
82/7
Step-by-step explanation:
To add these numbers you need to change them to have the same denominator.
7=49/7
4 5/7=(28+5)/7=33/7
49/7+33/7=(49+33)/7=82/7
Answer:11 5/7
Step-by-step explanation:
2x+4=16
Can someone please help ?
Answer:
x = 3
Step-by-step explanation:
2x + 4 = 16
2x = 12
x = 3
HELP!!!!A fish tank that is shaped like a rectangular prism holds 5600cm3 of water. When it is ¾ of the way full, Mike drops 25 identical stones into the water. 180 cm3 of water spill from the tank. What is the volume of each stone?
Answer: 63.2 cm³
Step-by-step explanation:
The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.
This means that the stones took 1/4 of the total prism and then 180 cm³ as well.
The volume of the 25 identical stones is therefore:
= (5,600 * 1/4) + 180
= 1,580 cm³
The volume of each individual stone is:
= 1,580 / 25
= 63.2 cm³
Simplify the expression: x^4 • x^6
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
Mark as brainllest
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
Give other guy brainllest
please help with this shapes question
Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm
How to find the radius ?The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².
Given that the surface area of the sphere is 484 π cm then the radius can be found to be :
484 π = 4 πr²
r ² = 484 π / 4 π
r ² = 121
The value of the radius would then be:
r ² = 121
r = √ 121
r = 11 cm
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Use the picture to name one tangent
im gonna go to summer shcool if I don't pass
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Answer:
76.9 UNITS^2
Step-by-step explanation:
The area of the 14 by 15 rectangular shape is 210 square units, and
that of the semicircle is (1/2)(3.14)(7)^2, where 7 is half of the diameter (14).
(1/2)(3.14)(7)^2 = 76.9 UNITS^2
Solve the inequality for w.
20 ≥ - 4w
Simplify your answer as much as possible.
Answer:
w[tex]\geq[/tex]-5
Step-by-step explanation:
-4w[tex]\leq[/tex]20
4w[tex]\geq[/tex]-20
w[tex]\geq[/tex]-5
(PLEASE HELP AS SOON AS POSSIBLE)
Answer:
G
Step-by-step explanation:
The origin in a graph is the point (0, 0) where x and y are both 0. If you move 4 units left, x is -4. And if you go down 2 units, y is -2. So the ordered pair would be (-4, -2)
opt G. (-4,-2)
I don't know...