Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
Determining the common difference
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 9, d = 8 in the equation
[tex]\:a_n=9+8n-8[/tex]
[tex]a_n=8n+1[/tex]
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]Shane made a scale drawing of a house and its lot. The scale he used was 1 inch : 3 feet. In
the drawing, the backyard is 11 inches wide. What is the width of the actual yard?
Answer:
33
Step-by-step explanation:
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years
Answer: B.12 years
Step-by-step explanation:
ASAP HELP!! sorry the photo is bad it’s the lighting but please help
Answer:
3
Step-by-step explanation:
what’s the answer? i need it asap please
Answer:
D
Step-by-step explanation:
Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!
Answer:
8x+30+4x+18=180
12x+48=180
180-48=12x
132=12x
x=132/12
x=11
which terms are like terms in the expression 5x + 9 + (-7x)
Answer:
5x and -7x
Step-by-step explanation:
they both end in the variable "x"
boris has 10 pairs of jeans 15 shirts and 7 sweaters in his closet right the ratio of sweaters to pairs of jeans using a colon
Answer:
7:10 or 3:5
Step-by-step explanation:
Answer:
Step-by-step explanation:
7:10 h
On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?
Jug A holds 1800ml Jug B hold 3/10 more. How much does jug B hold?
Answer:
Jug B can hold 2340 ml.
Step-by-step explanation:
Given
The amount in Jug A = 1800ml
To determine
How much does jug B hold?
Give that the Jug B holds 3/10 more, i.e.
[tex]\frac{3}{10}\times \:1800=540[/tex]
Thus,
The total amount in Jug B = 540+1800
= 2340 ml
Therefore, Jug B can hold 2340 ml.
Answer:
get into it
Step-by-step explana tion:
A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp
Answer:
Step-by-step explanation:
12,345/60=205.75 hours
l
safe to say 205 hours and 45 minutes
12 AM January 2nd 24 hours
12 AM Jan 3rd 48 hours
......
12 Am Jan 9th 192 h
it is Jan 9th, 1:45 PM
The date and time 12,345 minutes after the start of the new year will be 9 January.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A new year begins at 12:00 AM on January 1.
The number of days in time 12,345 minutes will be
⇒ 12345 / (60 x 24)
⇒ 8.5729 days
Then the date and time 12,345 minutes after the start of the new year will be 9 January.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
HELP PLEASE SUE TODAY
Solve the inequality:
Please select the best answer from photo of choices provided.
Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
[tex]\frac{3}{2}h+12\geq 6[/tex]
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
PLEASE ANSWER 16 17 18 CORRECTLY I WILL MARK BRAINLIST
Answer:
A A B
Step-by-step explanation:
Find ULE in the triangle
1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth
a. sinθ=−0.763; tanθ=−1.181
b. sinθ=−0.763; tanθ=−0.847
c. sinθ=0.763; tanθ=0.847
d. sinθ=0.763; tanθ=1.181
2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate
a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.
b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.
c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.
d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.
Answer:
d.) sinθ=0.763; tanθ=1.181
c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.
Step-by-step explanation:
Given that:
θ is in the IV quadrant (All is positive) that is sin, cos and tan are all positive.
Cosθ = 0.646
Θ = Cos^-1(0.646)
θ = 49.75930
Hence,
Tanθ = tan(49.75930) = 1.1816365 = 1.182
Sinθ = sin(49.75930) = 0.7633373 = 0.763
2.)
Let
Walking rate = x mph
Running rate = x + 4 mph
21 miles run time = 9 miles walk time
Recall :
Time = distance / speed or rate
21 / (x + 4) = 9 / x
Cross multiply :
21 * x = 9(x + 4)
21x = 9x + 36
21x - 9x = 36
12x = 36
x = 36 /12
x = 4 mph = walking rate
Running rate = x + 4 = 4 + 4 = 8 mph
4X + 11 < -21 graph represents
Answer:
The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3
Answer: x=-8. (graph with open circle going left from -8 for khan academy)
Step-by-step explanation: -21-11<-32
4x>-32
x<-8
What will be the equations for the justification.
Answer:
The expression is: [tex]-30n + 70 = -80[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
Multiply both sides by 3
[tex]3 * n = 5 * 3[/tex]
[tex]3n = 15[/tex]
Subtract both sides by 7
[tex]3n - 7 = 15 - 7[/tex]
[tex]3n - 7 = 8[/tex]
Multiply both sides by -10
[tex]-10(3n - 7) = -10*8[/tex]
[tex]-30n + 70 = -80[/tex]
To verify: Substitute 5 for n
[tex]-30 * 5 + 70 = -80[/tex]
[tex]-150 + 70 = -80[/tex]
[tex]-80 =-80[/tex] ---- Verified
List the sides in order from shortest to longest. The diagram is not to scale. Triangle upper J upper K upper L is shown. Angle upper J is labeled 45 degrees. Angle upper K is labeled 57 degrees. Angle upper L is labeled 78 degrees. A. Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar, line segment JK B. line segment JK,Modifying above Upper L Upper K with bar, Modifying above upper L upper J with bar C. line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar D. Modifying above Upper L Upper K with bar, line segment JK, Modifying above upper L upper J with bar
Answer:
your answer would be C
Step-by-step explanation:
line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar
will give branliest
Simplify the follow expression
3x + 8y + 13x
Answer:
16x+8y
Step-by-step explanation:
Let's simplify step-by-step.
3x+8y+13x
Combine Like Terms:
=3x+8y+13x
=(3x+13x)+(8y)
=16x+8y
Rotate the vector (5,1) 90°
clockwise about the origin.
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
To learn more about the transformations click here :
brainly.com/question/28029674
#SPJ2
help i’m stuck i’ll give brainliest
PLEASE HELP!! Will mark brainliest, find the measure of
Answer:
[tex]m\angle BYP=42^\circ[/tex]
Step-by-step explanation:
Lines and angles
The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.
[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]
We are given the acute angles as a function of m. thus:
5m + 98 + 2m + 48 = 90
Simplifying:
5m + 146 = 90
5m = -56
m = -56/5 = -11.2
m = -11.2°
To find the measure of angle BYP, substitute m in
5m + 98 = 5*(-11.2) + 98 = 42°
[tex]m\angle BYP=42^\circ[/tex]
For questions 13 - 14, determine which mappings are functions. please help, will give brainliest
Answer:
24
Step-by-step explanation:
x + 3 = 0
y = 1
What is the solution of the system?
(3, 1)
(1, 3)
(1, -3)
(-3, 1)
Answer:
1 i think this is answer...
Can anyone please help me?
Find the value of x.
Answer:
[tex]\sqrt{30}[/tex]
Which is the percent for 1.67
Answer:
167%
i thank that is the anserr.
Step-by-step explanation:
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
PLEASE HELP I WILL GIVE BRAINLIEST!!!
1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.
it would be so amazing if you could help, im legit so confused :(
Answer:
1- 1+2+3+4+5 = 15
Step-by-step explanation:
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank