Part (a)
This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.
To get the nth term of an arithmetic sequence, we'll use the formula below
an = a + d(n-1)
In this case, a = 14 is the first term and d = 4 is the common difference
So we have these steps
an = a + d(n-1)
an = 14 + 4(n-1)
an = 14 + 4n - 4
an = 4n + 10
Answer: 4n + 10
============================================
Part (b)
This sequence is geometric since we multiply each term by 4
The common ratio is r = 4 and the start term is a = 2.
So the nth term is....
an = a*(r)^(n-1)
an = 2*(4)^(n-1)
Answer: 2*(4)^(n-1)
What are the coordinates of the point on the directed line segment from ( − 4 , 10 ) (−4,10) to ( 2 , − 10 ) (2,−10) that partitions the segment into a ratio of 1 to 3
Answer:
[tex]Z=(-2.5,5)[/tex]
Step-by-step explanation:
From the question we are told that
Point [tex]a=(-4,10)[/tex]
Point [tex]b= (2,-10)[/tex]
Ratio [tex]r=1:3[/tex]
Generally the section formula is mathematically given as
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Generally the point P(x,y) is mathematically given as
[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]
[tex]x=-2.5[/tex]
[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]
[tex]y=5[/tex]
Required Co-ordinates Z is
[tex]Z=(-2.5,5)[/tex]
What is the diameter of a circle multiplied by to get the circumference?
A. radius
B. perimeter
C. area
D. pi
Answer:
it is multipied by Pi
Step-by-step explanation:
this is due to the formula C=πD or C=2πR
Answer:
its π aka pi!
Step-by-step explanation:
Determine if the side lengths given form a triangle. Justify your response. 6.4 mm, 12.9 mm, 14.2 mm
Answer:
Step-by-step explanation: Yes I think since if you add 12.4 and 6.4 your answer is more then 14.2 so yes it is possible
Answer:
Yes, it does form a triangle
Step-by-step explanation:
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that the given side lengths DO form a triangle. 6.4+12.9=19.3 which is more than 14.2.
how much percent is 15 bigger than 10 by? How much percent is 10 less than 15 by? Tysm
Answer:
15 is 50% greater than 10.
10 is 33 1/3% less than 15
is this a quadratic function?
y=-2x^2
Answer:
y=0 x=0
Step-by-step explanation:
Answer:
Yes, it's a quadratic function
Step-by-step explanation:
a quadratic function ax² + bx + c where a is not 0 and 2nd degree term is the highest term.
y = 2x² + 0*x + 0
help help help please
Help me please I will give you brainlist!
Answer:
2x
Step-by-step explanation:
2x has a value of 4 because x = 0 and y = 4 so the answer would be 2x
PLS HELP The width of Ben's rectangular family
room is 3 feet less than the length.
The perimeter is 70 feet. What is the
length of the family room?
Answer:
19 feet
Step-by-step explanation:
The perimeter is calculated by multiplying the sum of length and width by 2
width is 3 less than length so if we call the width x the length would be x + 3
2×(x + x + 3) = 4x + 6 and
4x + 6 = 70 subtract 6 from both sides
4x = 64 divide both sides by 4
x = 16
The length is x + 3 so the answer is 19 feet
Please help i need you
Answer:
2n+8
Step-by-step explanation:
8) Y varies directly with x, and y = 10 when X = 4. What is x when y = 14?
O 5.6
O 35
O 6.2
O 7.4
Cauculate the answer when the larges prime number is 35 multiplied by the smallest prime number that is a factor of 15
Complete question :
The largest prime number that is a factor of 35 is multipled by the smallest prime number that is a factor of 15
Answer:
21
Step-by-step explanation:
Prime numbers : numbers divisible only by 1 and itself
They include ;
{2, 3, 5, 7 , 11}
Largest prime number that is a factor of 35
Factor of 35
35 = 1 * 5 * 7
Largest prime number , multiple of 35 = 7
Factors of 15
15 = 1 * 3 * 5
Smallest prime number, multiple of 15 = 3
7 * 3 = 21
which pair of figures is similar?
Five times a number plus six times a number.
Answer:
5x +6y
Step-by-step explanation:
let x and y be numbers
5 times a number=5x
6 times a number = 6y
now,
ans=5x+6y
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
A = 46°, b = 27 ft, c = 14 ft
271.91 ft2
131.29 ft2
378 ft2
135.96 ft2
Answer:
135.96 ft2
Step-by-step explanation:
Answer:
The answer is 135.96 ft^2
Step-by-step explanation:
The answer is 135.96 ft^2
50 POINTS AND BRAINLIEST!!!
Answer:
Its D
Step-by-step explanation:
Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!
I will give brainlest.
Answer:
it is option A hope it helps
Which addition does the model below represent?
A number line going from negative 5 to positive 5. Negative 1 to positive 3 is highlighted, and 0 to positive 3 is highlighted.
3 + (negative 1)
3 + 4
3 + (negative 4)
3 + 1
Answer:
C
Step-by-step explanation:
Took the test ;)
Answer:
c
Step-by-step explanation:
Write the number 5 million 4 thousand three hindered in standard form
Answer:
The ans is 5004300
In standard form,
5004300. Five Millon four thousand and three hundred.
(hope that helped can i plz have brainlist it wil make my day :D hehe)
Step-by-step explanation:
Volume of cylinder & cone ... Help me please
Answer:
The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.
Am a little lost so can you help me?
Answer:
se eu não me engano é 10 graus.
Step-by-step explanation:
What is the standard form equation for a 1/2 line that passes though (-3,-3) and (4,2)
Answer:
y= 5/7x -2.7
Step-by-step explanation:
Y= mx + c (-3,-3) (4,2)
x1 , y1 x2, y2
to find m (gradient)
y^2 - y^1 / x^2 - x^1
2-(-3) / 4 - (-3)
5/7 m = 5/7
take (4,2) and gradient and substitute
2=5/7(4) + c
2=4.7+ c
2-4.7 = c
-2.7 = c
now we have c and m so just put it in the equation
y= 5/7x -2.7
consider the graph f(x)=3 to the power of x. describe how to graph the transformation f(x-3)+2
Answer:
shift the graph horizontally to the right for 3 units and then shift vertically up 2 units
Step-by-step explanation:
f(x) = x³ vs f(x-3)+2
f(x-3) will shift the graph horizontally to the right for 3 units
+2: will shift vertically up 2 units
Which pair of angles are the alternate exterior angles?
Explain how feel about trump being impeached a second time this time for the mobs action
I NEED HELP ASAPPPP
6.
Create an equation using Pythagorean Theorem for the diagram, then solve for the unknown
side. If necessary, round to two decimal places. Use proper rounding rules,
Equation (using the terms from the picture):
Then solve for x.
9
Determine the slope of the line that passes through the given points. Complete your work in the space provided.
(8.1) and (8,-4)
Answer:
0
Step-by-step explanation:
Slope formula y2-y1/x2-x1
-4-1/8-8
simplify
-5/0
slope is 0
A bicyclist rode 24.75 miles in 2.25 hours. What was the bicyclist's average speed, in
miles per hour?
Answer:
11
Step-by-step explanation:
24.75 / 2.25 = 11
Which ordered pair is a solution of the equation?
3x - y = 13
write the sentence as an equation, 341 is the same as 19 divided by b
Answer:
19/b =341
Step-by-step explanation:
Division in algebra is shown in fractions so if you put 19 over b it means 19 divided by b.