Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is
1. -9
2. -1
3. 8
4. 15
The value of a₄ is -9
What is recursively defined sequence?Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
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Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
Answer:
A) 23
B) 75
C) 6.30
Step-by-step explanation:
A) Range = highest value - least value
Range = 20
least value = 3
Thus,
20 = highest value - 3
highest value = 20 + 3
= 23
The number that would make the range of the data set 20 is 23.
B) Let the number be represented by x, so that;
15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]
cross multiply to have
15 x 8 = 45 + x
120 - 45 = x
x = 75
The number that would make the mean of the data set 15 is 75.
C) The given data plus a number that is close to the mean would reduce the standard deviation.
mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]
= 6.43
The required number could be 6.30
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answer:
[tex]y = 12.25[/tex]
Step-by-step explanation:
Area of parallelogram = [tex]49 {cm}^{2} [/tex]
∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]
[tex]∴ \: s = y[/tex]
[tex]y = \frac{49}{4} [/tex]
[tex]y = 12.25[/tex]
Hope it is helpful...-3 + 4x = 25
help mee
Answer:
are u solving for x if so then
x=7
Step-by-step explanation:
hope this helps ...brainliest please!
PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
rhombus
Step-by-step explanation:
HELPPP PLS!! WILL MARK BRAINLIEST!! #plato
Drag each tile to the correct box.
Arrange the entries of matrix A in increasing order of their cofactor values.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation: I got it right on Edumentum.
Answer:
a23, a31, a21, a11, a12, a33
Step-by-step explanation:
Write this percentage as a fraction in its simplest form.
30%
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
can someone help with this one im confused.
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.
Answer:
3570
Step-by-step explanation:
the current monthly rent is 4200.
now, decreasing it by 15% means to reduce it, to subtract 15% from it.
4200 = 100%
42 = 1%
15% = 42 × 15 = 630
so, the new rent is 4200 - 630 = 3570
Need help ASAP DUE IN A COUPLE MINUTES PLEASE AND SHOW WORK ?!!!
Answer:
here u go
Step-by-step explanation:
what i did was 15*7 which is 105
and then i did 105/2 which is 52.5 ft
Answer:
V = 1237 cubic feet
Step-by-step explanation:
V of cylinder = πr^2h
r = 7.5 ft (15/2)
h = 7 ft
v = ((7.5)^2)π*7 = 1237.002107 cubic feet
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
What is the area of the polygon enter your answer in the box
43.5 units2
45.5 units2
56.5 units2
49.5 units2
Answer:
Option (1)
Step-by-step explanation:
Area of the polygon = Area of CDE + Area of EFG + Area of ABCF
Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(2)[/tex]
= 3 units²
Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]
= 2.5 units²
Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
= [tex]\frac{1}{2}(8+11)(4)[/tex]
= 38 units²
Area of the given polygon = 3 + 2.5 + 38
= 43.5 units²
Therefore, Option (1) will be the correct option.
Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
please help. its for an assignment that is due today.
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
can you please find the range of these numbers? 18, 16, 19, 15, 17. I will give 16 points
Answer: Hi the Range is 4
Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:
18, 16, 19, 15, 17
19,18,17,16,15
19-15= 4
Please help and show clear instructions will give brainliest !
Answer:
Answer is 3 because
Step-by-step explanation:
a=2
20*2= 40
40-1 = 39
b = 13
so 39/13 = 3
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
The number of subsets that can be created from the set {1, 2, 3} is:
Answer:3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subset : {} ; {1} ; {2} ; {3} ; {1,2} ; {2,3} ; {1, 3} ; {1,2,3}
Number of subsets = 8
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answer:
this two graph is not same because they have different slopes for this they are not same
What is the slope of the line that contains these points?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{m=8}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]
⸻⸻⸻⸻
[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]
⸻⸻⸻⸻
[tex]\text{The slope is 8.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which range of y values makes
this inequality true?
0.6y < 15
Pls help
Answer:
yes this is true helpful answer
what is b
−2.9+ b/0.1 = − 39.9
Answer:
b = - 1.09
Step-by-step explanation:
- 2.9 + b ÷ 0.1 = - 39.9
- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1
- 2.9 + b = - 3.99
- 2.9 + 2.9 + b = - 3.99 + 2.9
b = - 1.09
Answer:
Exact form
b=-37/10
Decimal form
b=-3.7
Mixed Number form
b+-3 7/10
Step-by-step explanation:
-2.9+b/1/10+-39.9
-2.9+10b+-39.9
10b=-39.9+2.9
10b=-37
b=-37/10
A(n) _____ is a statement that you conclude to be true based on logical reasoning. argument proof conclusion conjecture
Answer: conjecture
Step-by-step explanation:
A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.
Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.
Note:
Conclusion = Result made after a generalized study.Argument = A series of reasons that leads to a conclusion.proof = An argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems.GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?
Consider IJ and GL are the parallel sides of the trapezoid.
Given:
In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.
To find:
The length of the mid segment HK.
Solution:
The length of the mid segment of a trapezoid is:
[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]
where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.
HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:
[tex]HK=\dfrac{IJ+GL}{2}[/tex]
[tex]HK=\dfrac{7+15}{2}[/tex]
[tex]HK=\dfrac{22}{2}[/tex]
[tex]HK=11[/tex]
Therefore, the length of HK is 11 units.
PLEASE HELP ME!! this is due tonight and i really need help with this so i can do other assignments
explaining your answer = brainliest/ five stars
the area of this square = ___ cm
Answer:
64cm² I think :) if u get it wrong dont blame it on me.
Answer:
64 cm^2
Step-by-step explanation:
The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)
A = s^2
= 8^2 (8 x 8)
= 64 cm^2
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).
What is a Function?A function is a law that relates a dependent and an independent variable.
The function has x-intercepts at (-3,0) and (5,0),
The function has two roots: -3 and 5
So, the equation is a quadratic equation represented by
f(x) = a(x + 3)(x - 5)
The function goes through the point (1. 8)
y = 8 when x = 1
f(1) = a(1 + 3)(1 - 5) = 8
-16a = 8,
a = (-1/2)
f(x) = (-1/2)(x + 3)(x - 5)
f(x) = (-1/2)(x² + 8x - 15)
To know more about Function
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please help meeeeeeee
https://youtu.be/QnydfcNVJoQ
sypport my channel pls pls
channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
