Answer:
[tex]n^2+3[/tex]
Step-by-step explanation:
4, 7, 12, 19, 28
The differences are 7-4=3, 12-7=5, 19-12=7, 28-19=9.
This is an arithmetic sequence since the differences are constant.
There must be [tex]n^2[/tex] in the nth term.
These are the next terms in the sequence:
4, 7, 12, 19, 28, 39, 52, 67, 84, 103, 124, 147, 172, 199, 228, 259, 292, 327, 364, 403, 444, 487, 532, 579, 628, 679, 732, 787, 844, 903, 964, 1027, 1092, 1159, 1228, 1299, 1372, 1447..
[tex]n^2 +c=4[/tex]
[tex]1^2+c=4[/tex]
[tex]c=4-1[/tex]
[tex]c=3[/tex]
Therefore, the nth term is [tex]n^2+3[/tex].
Answer:
nth term = n^2 + 3.
Step-by-step explanation:
4 7 12 19 28
The differences are in an arithmetic sequence so this is a quadratic sequence,
- the differences are 3, 5, 7, 9... which is an A.S.
The common difference of the A.S. is 2 so there is n^2 in the formula for the nth term.
By inspection , we see that each term is 3 more than the term number squared.
1^2 + 3 = 4
2^2 + 3 = 7
3^2 + 3 = 12
4^2 + 3 = 19 and so on.
Which line segment is only a chord of F?
Answer:
line AB is a chordStep-by-step explanation:
Any line that segments a circle and joins two points at the circumference of a circle is called a chord.
line AB is a chord
While
line EC is a diameter
line DF is a radius
Answer:
Correct Answer should be AB
Step-by-step explanation:
I toke the quiz so I know its correct
Edmund makes a cube using eight small cubes. Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. How many more cubes does Samuel use than Edmund?
Answer:
Step-by-step explanation:
The number of small cubes that Edmund used is 8. Let us assume that the volume of each small cube is 1m³. This means that the volume of the cube made is 8m³. Since volume of cube = s³, then s = 3√8 = 2m
Each side of the cube made is 2m
Samuel uses cubes of the same size as the small cubes to make a cuboid twice as long, three times as wide and four times as high as Edmund's cube. It means that the sides of the cuboid are
Length = 2 × 2 = 4m
Width = 3 × 2 = 6m
Height = 4 × 2 = 8m
Volume = length × width × height
Volume = 4 × 6 × 8 = 192 m³
Number of small cubes used is 192/1 {= 192
The number of cubes that Samuel used more that Edmund is 192 - 8 = 184 small cubes
Need help with 8-10 didn’t understand this
Answer:
8 is -5
9 is (-2,3)
10 is -10
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
If you want to learn more about polynomials:
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Let f(x)=5x and g(x)= -x+1. Find f o g(ONLY 2 HOURS TO ANSWER!)
Answer: (b) -5x + 5
Step-by-step explanation:
f(x) = 5x g(x) = -x + 1
f(g(x)): g(x) = -x + 1 f(-x + 1) = 5(-x + 1)
= -5x + 5
Five gallons of water need to be shared equally among 6 people. How many gallons of water will each person get?
Answer:
5/6
Step-by-step explanation:
To distribute the water equally, you divide the 5 gallons of H2O by 6 people. You will get the fraction 5/6 as your answer.
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
Step-by-step explanation:
Sorry ignore this
Answer:
Boys : Girls = 5 : 7
Jeff should find the number of girls at first.
Step-by-step explanation:
Boys - 10
Girls - 24 - 10 = 14
Boys : Girls = 10 : 14
Boys : Girls = 5 : 7
Jeff did not find the number of girls, he took the number of all students instead.
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!
Help me.............Please, i am not good at maths, brainliest will be given, THANK YOU!!!!!
Answer:
2.5 cm
Step-by-step explanation:
The volume of the prism is the area of the cross-section times the length.
The area of the cross-section is the area of a triangle.
4h×1/2×7 = 35
Multiply and solve for h.
14h = 35
Divide both sides with 14.
h = 35/14
h = 5/2
h = 2.5
2.5cm
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help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)
Answer:
the answer is (4 + 21)(3-51) = (3-51)(4+ 21)
The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).
What is Commutative Property?The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.
According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.
Let A and B be the two integers, then;
A × B = B × A
As, we know commutative Property supports multiplication and Addition.
First, (4 + 21) = (21 + 4)
This is Commutative Property of Addition.
Second, (4 + 21)(3-51) = (3-51)(4 + 21)
This is Commutative Property of Multiplication
Third, (4 + 21(3-51) = (4 + 21)(3-51(1)
No property can be applied.
Fourth, (4 + 21) = (4 + 21 + 0)
This is expansion.
Learn more about Commutative Property here:
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The function g(x) is a transformation of f(x), and g(x) = f(x) + 2. What type of transformation of f(x) is g(x)? A. dilation B. horizontal translation C. reflection D. vertical translation
Answer:
This is called a vertical translation, which is answer D.
Step-by-step explanation:
Given: g(x) = f(x) + 2.
This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).
The type of transformation is called a vertical translation, which is answer D.
Find the vertex of the graphed function. f(x) = |x − 4| + 3 The vertex is at (, ).
Answer:
(4, 3)
Step-by-step explanation:
Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.
Will mark brainliest! Would also really appreciate it if someone could explain it as well!
[tex]2 sin^{2} (x) \geq sin(x)[/tex]
Answer:
sin (x) ≥ 0, between 0° and 180° or 0 and π,
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
Step-by-step explanation:
This is how I would do it. Subtract sin(x) from both sides
2[tex]sin^{2} (x)[/tex] - sin(x) ≥ 0 , then factor out sin(x)
sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0
sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0
sin (x) ≥ 0, between 0° and 180° or 0 and π
2 sin(x) ≥ 1
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
ASAP help plz❤️❤️❤️Urgent
Answer:
Answer to the first part is 2.5 hours.
Step-by-step explanation:
T = 150/60
= 2.5 hours
Best Regards!
Abcd is a rectangle.
What is the slope of the line on the graph below 1/5 1/3 3 or 5
Answer:
1/3
Step-by-step explanation:
We are given to find the slope of the line shown on the graph.
We note that
the line on the graph passes through the points (3, -4) and (6, -3).
The slope of a straight line passing through the points (a, b) and (c, d) is given by
m=\dfrac{d-b}{c-a}.m=
c−a
d−b
.
Therefore, the slope of the given line is
\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}
m=
6−3
−3−(−4)
⇒m=
3
−3+4
⇒m=
3
1
.
Thus, the required slope of the line is \dfrac{1}{3}.
3
1
.
Option (B) is CORRECT.
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
(Multiple Choice, 20 pts)
Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.
A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution
Answer:
B.
Step-by-step explanation:
Step 1: Cross-multiply
x² + 2x = 4x²
Step 2: Isolate x's
2x = 3x²
0 = 3x² - 2x
Step 3: Factor
x(3x - 2) = 0
Step 4: Find roots
x = 0, x = 2/3
Step 5: Double check answers.
When you do so, you should see that only x = 0 works. And we have our answer!
Answer:
its c man its c
Step-by-step explanation:
0.24731182795 to 1 Decimal Place
Answer:
0.2
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Mark the first decimal place
Examine the second decimal place and if it is lower than five we round down and vice versa
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
can i get help for this please
Answer:
65 units^2Step-by-step explanation:
[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]
Answer:
60
Step-by-step explanation:
Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.
YOOO PLZ HELP ASAP!!!
Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
First Identify the Angle relationship, then solve for x.
Answer:
Corresponding Angles Theorem
x = -5
Step-by-step explanation:
Since they are corresponding angles, they are equal to each other.
x + 105 = 100
x = -5
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1
Answer:
(1+2)3
Step-by-step explanation: it equals 9 the the other expressions equal 8 0 and 6 so option one is the greatest value.
What is the value of this expression
Answer:
157
Step-by-step explanation:
4(x2+3)-2y
4((-6)2+3)-2(-1/2)
4(36+3)-(-1)
4(39)+1
156+1
157
Answer:
157
Step-by-step explanation:
Please help thank you
Step-by-step explanation:
Y = 3x + 2
Putting value of y in equation 2
x + 12 = 3x + 2
12 - 2 = 3x - x
10 = 2x
10/2 = x
5 = x
Putting value of x in equation 1
Y = x + 12
Y = 5 + 12
Y = 17
Option D is the correct answer
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.