Answer:
Trent is right because if you subtract 53 and 3/4 by 12 2/3 equals to 41 and 1/12.
Step-by-step explanation:
a sequence has a first number of 3 and a half common difference of 4 what is the recursive rule of nth term
Answer:
[tex]f(n) = f(n-1) + 8[/tex] for [tex]n > 1[/tex]
Step-by-step explanation:
Given
[tex]f(1) = 3[/tex] -- First Term
[tex]\frac{1}{2}d = 4[/tex] --- half common difference
Required
Find the recursive rule
First, we calculate the common difference
[tex]\frac{1}{2}d = 4[/tex]
Multiply through by 2
[tex]2 * \frac{1}{2}d = 2 * 4[/tex]
[tex]d = 8[/tex]
The second term of the sequence is:
[tex]f(2) = 3 + 8 = 11[/tex]
The third term is:
[tex]f(3) = 11 + 8 = 20[/tex]
So, we have:
[tex]f(1) = 3[/tex]
[tex]f(2) = 3 + 8[/tex]
Substitute f(1) for 3
[tex]f(2) = f(1) + 8[/tex]
Express 1 as 2 - 1
[tex]f(2) = f(2-1) + 8[/tex]
Substitute n for 2
[tex]f(n) = f(n-1) + 8[/tex]
Similarly:
[tex]f(3) = 11 + 8[/tex]
Substitute f(2) for 11
[tex]f(3) = f(2) + 8[/tex]
Express 2 as 3 - 1
[tex]f(3) = f(3-1) + 8[/tex]
Substitute n for 3
[tex]f(n) = f(n-1) + 8[/tex]
Hence, the recursive is:
[tex]f(n) = f(n-1) + 8[/tex] for [tex]n > 1[/tex]
Can you please help me
Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is [tex]\frac{3}{4}[/tex] ⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means [tex]\frac{L_{1} }{L_{2}}[/tex] = [tex]\frac{W_{1} }{W_{2}}[/tex] , where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L[tex]_{1}[/tex] = 14 and W[tex]_{1}[/tex] = 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L[tex]_{2}[/tex] = 10.5 and W[tex]_{2}[/tex] = 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵ [tex]\frac{L_{2} }{L_{1}}[/tex] = [tex]\frac{10.5}{14}[/tex] = [tex]\frac{3}{4}[/tex]
∵ [tex]\frac{W_{2} }{W_{1}}[/tex] = [tex]\frac{4.5}{6}[/tex] = [tex]\frac{3}{4}[/tex]
∴ The scale factor for the dilation is [tex]\frac{3}{4}[/tex]
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is [tex]\frac{3}{4}[/tex]
Which sequence is ARITHMETIC
Answer:
A (0,1,4,9,,,,)
A 0,1,4,9,,,,
????? Anyone know the answer
Answer:
the slope is 3 because y=mx+b where m= slope and b= y-intercept
Step-by-step explanation:
2400 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
PLEASE HELP I DONT HAVE TIME LEFT!!! Divide 3/5 divided by 4=
12/5
5/20
3/20
6/30
I WILL ASLO GIVE BRAINLIEST
help ASAP will give brainlist
Answer:
Wait hold on! can I join the google meet!? :O
A graphing calculator costs $85. The sales tax on the calculator is 8%. What is the total cost of the
calculator?
FS90.00
GS92.00
H591.80
J $93.00
Answer:
91.80
Step-by-step explanation:
the answer is 91.80
62.4% of what number is 17.16?
What percent of 51 is 127.5?
(Those are two questions but like on the same thing )
Answer:
first: 27.5
second: 250%
Step-by-step explanation:
first: 17.16 ÷ 62.4% = 0.275, 27.5
second: 51 ÷ 127.5 = 0.4, 40%,
100% ÷ 40%, = 2.5, 250%
Write the equation for the graph in slope-intercept form.
Answer:
y = -[tex]\frac{3}{4}[/tex]x + 1
Step-by-step explanation:
y = mx + b
Find two point on the graph (0,1) (4,-2); 1 is the y intercept
y = mx + 1
[tex]\frac{1 + 2}{0 - 4}[/tex] = [tex]\frac{3}{-4}[/tex]
y = -[tex]\frac{3}{4}[/tex]x + 1
Answer:
y= -3/4 + 1
Step-by-step explanation:
y= -3/4 + 1
Jorge's family arrived home at 8:00 at night after traveling in the car for 5 hours and 15 minutes. What time did Jorge's family leave?
Answer:
2:45 P.M
Step-by-step explanation:
Answer:
3:45
Step-by-step explanation:
8:00-5 hours and 15 min=3:45
How many real solutions does x^2+8x+20=0 have?
1. 0
2. 1
3. 2
Answer:
0
Step-by-step explanation:
I tried solving it
x^2+8x+20=0
1x^2+8x+20=0
I used the quadratic formula, I can't type it here but trust me!
Answer:
there are 0 real solutions so the answer is number 1
Step-by-step explanation:
PLSS HELP ILL GIVE YOU A BRAINLIEST AND 30 points!
please help me with this question I will give brainliest to correct answer
PLEASE SOMEONE HELP I TRULY DO NOT UNDERSTAND
Find F^-1(x), the inverse of F(x).
f(x)-9x^3-4
Show your work please because I don’t understand.
Hi there!
[tex]\large\boxed{f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} } }[/tex]
[tex]f(x) = 9x^{3} - 4[/tex]
Find the inverse by replacing f(x) with y and swapping the x and y variables:
[tex]x = 9y^{3} - 4[/tex]
Isolate y by adding 4 to both sides:
[tex]x + 4 = 9y^{3}[/tex]
Divide both sides by 9:
[tex]\frac{x+4}{9}= y^{3}[/tex]
Take the cube root of both sides:
[tex]y = \sqrt[3]{\frac{x+4}{9} }\\\\f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} }[/tex]
which pair of numbers has the greatest common factor to 14
2 & 7
because 2 x 7 = 14
sorry if this wasnt what you were looking for, have a nice day :)
Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes. Which statement best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes?
Answer:
Following are the solution to this question:
Step-by-step explanation:
The experiment of three possible results has been performed through Gerald. This statement better applies to the data point to obtain results comparable to the findings expected.
The amount of potential scenarios predicted from the above claim is three (smaller than) twenty potential scenarios, as indicated in the 2nd statement. Throughout the case with good predictive claims, the 1st claim sounds very good.
B, Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment.
This is probably too late to help you but maybe it'll help someone else.
-
RO
SEROANATENG
BADA. SIMON
VVUIS
SEKOLAH MENENG
KERTAS
MATIK TINGKATAN 4
GIAN A. Jawab semua soalan
Fungsi kuadratik f(x) = x2 - 6x + c melalui titik B(-2,4). Apakah nilai bagi c?
The quadratic function f(x) = x2 - 6x + c passes through point B(-2,4). What is the
value of c?
A -12
B -6
C 6
D 12
Given:
Quadratic function is
[tex]f(x)=x^2-6x+c[/tex]
It passes through B(-2,4).
To find:
The value of c.
Solution:
The quadratic function passes through B(-2,4), it means the equation of quadratic equation must be true for the point B(-2,4).
We have,
[tex]f(x)=x^2-6x+c[/tex]
Putting x=-2 and f(x)=4, we get
[tex]4=(-2)^2-6(-2)+c[/tex]
[tex]4=4+12+c[/tex]
[tex]4=16+c[/tex]
Subtract both sides by -16.
[tex]4-16=c[/tex]
[tex]-12=c[/tex]
The value of c is -12.
Therefore, the correct option is A.
What is the slope of the line whose equation is y-4=-
4=$(x-2)?
-6
5-
-4
(2,4)
-2
-1-
5 -5 -3 -2 -
4 5 6
Х
160,t1)
...6
The slope of the line is m = 5/2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 2 , 4 )
Let the second point be Q ( 0 , -1 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 4 - ( -1 ) ) / 2
m = ( 4 + 1 ) / 2
m = 5/2
Hence , the slope is m = 5/2
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
The daily cost of production in a factory is calculated using c(x)= 200+16x, where x is the number of complete products manufactured. Find the average rate of change between 5 and 8 conpleted products manufactured
A: -1/16
B: 3
C: 16
D: 48
Answer:
D: 48
Step-by-step explanation:
Daily cost of production; c(x) = 200 + 16x
when the number of complete products manufactured is 5, the cost is:
c(5) = 200 + 16(5)
= 200 + 80
= 280
c(5) = 280
When the number of complete products manufactured is 8, the cost is:
c(8) = 200 + 16(8)
= 200 + 128
= 128
c(8) = 328
Average rate of change = c(8) - c(5)
= 328 - 280
= 48
Thus, the average rate of change is 48.
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
It takes Juan 1.5 hours to walk 5.25 miles to the park. how many miles can he walk per hour?
Answer:
jajaja y la novia
Step-by-step explanation:
HELP ME PLS I NEED TO PASS THIS CLASS
Answer: y= x + 4
Step-by-step explanation:
The equation would have its y intercept at 4 and it’s x intercept at -4
State the triangle congruence theorem that can be used to prove triangles congruent.
SSS
SAS
AAS
ASA
HL
Cannot Be Proven
Answer:
[tex]sss[/tex]
Step-by-step explanation:
Because
AB = ED ( Side)
BC = EF ( Side )
AC = DF ( Side )
So,
ABC Triangle is congruent to EDF triangle ( SSS)
Please...Can I have the brainliest?
Draw a graph that illustrates the given situation: You ride your bike to your friend's house. You leave your house, which is at sea level and first go up a big hill for about a mile, then you ride on a flat surface for 2 miles. Next you hit a slight downhill for a mile, followed by another steep uphill for a half mile. You end your ride on the last half mile going downhill.
Use the x axis as your time and your y axis as vertical height above seal level. Label these on axis.
Answer:
Please find attached the required drawing that illustrates the given situation
Step-by-step explanation:
With a driving speed of 0.003 miles per second, which is approximately 4.83 meters per second, we have the drawing of the graph that represent the given situation which is create with Microsoft Excel and attached alongside here
The total time for the travel is approximately 2,244 second with a total distance of approximately 6.732 miles, using angles, 60° for a steep slope and 30° for a gentle slope
bob the builder is making 480 kg of concrete mix
concrete is made by mixing cement, sand and gravel in the ratio 1 : 3 : 4
how much sand does he need?
Answer:
180 kg
Step-by-step explanation:
The ratio is
cement : sand : gravel
1 : 3 : 4
If he used 1 kg cement, 3 kg sand, and 4 kg gravel, he'd get 8 kg of concrete.
He wants to make 480 kg of concrete.
480/8 = 60
He needs 60 times more concrete than the numbers in the ratio.
60 * 3 kg = 180 kg
Answer: 180 kg
Answer:
If sand is 3 in the ratio, it is 180kg
Step-by-step explanation:
480/8=60 60 times 3 is 180
Help me with math ASAP please!!!
Answer:
12 andy 9
Step-by-step explanation:
-1/3 + -1/3 help pls plssssssssssssssssss
Answer:
-2/3
Step-by-step explanation:
Answer:
-2/3
Step-by-step explanation:
the depth of water at the end of a boat dock can be modeled by a senusoidal function Y=Asin [B(r+C) ]+D where y represents the depth in feet of the water, hours after midnight on a certain day, the depth is 10 feet at low tide at 6 am and 18 feet at high tide at noon find the amplitude and midline for the general sine function that can be used to model the water's depth.
Answer:
A=4 ft
Midline: y=14
Step-by-step explanation:
When talking about sinusoidal waves, we know the amplitude will be the distance between the midline and the highest or lowest point of the graph. This can be found by first, finding the distance between the lowest point and the highest point:
d= 18ft - 10ft = 8ft
and divide this distance into 2:
[tex]A=\frac{8}{2}[/tex]
A= 4 ft
in order to find the midline, we need to figure the midpoint between the highest and lowest value. We can do so by using the following formula:
[tex]Midpoint=\frac{high+low}{2}[/tex]
so:
[tex]Midpoint=\frac{18+10}{2}[/tex]
Midpoint = 14
so the midline is located at the line:
y=14
