Answer:
The 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
Step-by-step explanation:
Given the sequence
[tex]-17, -13, -9....[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=4[/tex]
The first element of the sequence is:
[tex]a_1=-17[/tex]
now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=4\left(n-1\right)-17[/tex]
[tex]a_n=4n-21[/tex]
Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence
[tex]a_n=4n-21[/tex]
[tex]a_{75}=4\left(75\right)-21[/tex]
[tex]a_{75}=300-21[/tex]
[tex]a_{75}=279[/tex]
Therefore, the 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
Willa bought 5 tops that cost $72 after she applied a $20-off coupon. The tops all cost the same amount. Which equation can be used to find the cost in dollars of each top?
A5t + 20 = 72
B5t - 20 = 72
C20t = 5 = 72
D20t - 5 = 72
Answer:
B
Step-by-step explanation
5 tops minus the 20 from coupon, to get the total
Caleb purchased video games for $45 each. He bought $540 worth of video games. If x is the number of video games, which equation can be used to find the total number of video games Caleb purchased?
Answer:
y=45x-540
Step-by-step explanation:
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
please help me put these in order if u can
Answer:
5x+8y=480
5(16)+8y=480
80+8y=480
8y=40
y=50
Step-by-step explanation:
x= kids ticket sold
y= adult tickets sold
5x+8y = sales
Plug in 16 for x and 480 for sales
5(16)+8y= 480
Solve for y
80+8y=480
400=8y
y=50
What is the measure of angle X?_
Answer:
Hey this isn’t the answer, sorry
Step-by-step explanation:
I just need this answer to so let me know if you get the answer Thank you
How many terms are in this expression? d + 8c + 7
Answer:
2
Step-by-step explanation:
(5x) + (9x) + (11x) + (6x) + (10x) = ?
Answer:
41x
Step-by-step explanation:
Answer:
41x
Step-by-step explanation:
The boys' basketball team at Washington High School has been doing really well so far this year. In the past six games, they ve scored the following points.
84, 67, 74, 87, 67, 73
If the coach is discussing their year with the local newspaper, which measure of central tendency is he least likely to use?
Median
Mode
Mean
Range
Answer:
Step-by-step explanation:
Median
Not 100 percent
Median is middle he is least likely to use.
Blaise bought a used car for $3,250. He added a turbocharger that cost t dollars and a new air intake manifold that cost $178, bringing the total cost to $3,587. This situation can be represented by the equation $3,250 + $178 + t = $3,587. How much did the turbocharger cost?
Answer:
t = $159
Step-by-step explanation:
3587-3250-178 = t
t = 159
The slope-intercept form of a linear equation
is y = mx + b, where x and y are coordinates of an
ordered pair, m is the slope of the line, and b is where
the line crosses the y-axis.
Which is an equivalent equation solved for the slope,
m?
m= yx +b
m= b
x
O m=-b
O m=y-
Answer:
The second option m=y-b/x
Step-by-step explanation:
Hope this helps :)
Answer:
B
Step-by-step explanation:
I have super human powers that tell me the correct answer
If the nurse to patient ratio in a long term care unit is 3:15, how many nurses would you expect to see in a unit with 72
Trigonometric functions
Answer:
in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.
Maths question, will give Brainliest! Estimate the solution to the system:
y=4x−2
y=x+3
Answer:
C
Step-by-step explanation:
Answer:
C or (5/3, 14/3)
Step-by-step explanation:
y = 4x - 2 = x + 3
3x - 3 = 3
3x = 5
x = 5/3 or 1 2/3
y = 5/3 + 3
y = (5 + 9)/3
y = 14/3 or 4 2/3
solve for h in the parallelogram
Answer:
h = 5
Step-by-step explanation:
diagonals in a parallelogram bisect each other so:
2h = h + 5
h = 5
HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers correctly first.
Answer:
A. 260
Step-by-step explanation:
(I did the math and this is what I got tell me if I'm wrong!)
Answer:
B
Step-by-step explanation:
So, she needed a foil of double the dimensions of the rectangular piece of paper to wrap the gift. Let's say the dimensions of the piece of paper were 12 by 10. Double both those and you get 24*20. Which is 480, and that makes sense since you have two dimensions you are doubling, which is essentially the area times 4.
Can someone please help me with this questions
Step-by-step explanation:
a. 3⁴
b. 7⁵
c. 10²
d. 5⁷
Hope this helps?
The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?
. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
interest. How much did Toby have in his savings account after 2 years?
Answer:
£4867.2
Step-by-step explanation:
Given data
P= £4500
T=2 years
R= 4%
The compound interest expression
A=P(1+r)^t
substitute
A= 4500(1+0.04)^2
A=4500(1.04)^2
A=4500*1.0816
A=£4867.2
Hence the balance is £4867.2
Answer:
P(1+r/100)^n - P
4500(1+4/100)^{2}-4500 =367.2
Step-by-step explanation:
Can you help me please
Answer:
Step-by-step explanation:
y ∝ x
y= k*x
As given y =-16, x=4 putt in above formula to get value of K
k = -16/4 = -4
Hence also given that ,
y =20
k = -4
x= ?
x= y/k (using formula)
x =20 / -4
x = -5
x^2+5x+4=0 how do I factor this because Im trying to solve quadratic equations by factoring and i dont understand it
Answer:
(x + 4)(x + 1)
Step-by-step explanation:
Every two years, there is a local election in a small town. In 2015, a total of 29,000 voters turned out in the election. In 2017, the number of voters decreased by 16%. In 2019, the number of voters increased by 22%. How many voters turned out in the election for 2019?
Answer:
29730 voters
Step-by-step explanation:
so:
in 2017- 16/100=0.16 x 29,000=4640 so 29,000-4640=24360 voters
in 2019-22/100=0.22 x 24369=5361.18 so 24369+5361.18=29730.18 voters
I hope this helped
Marcy, a 7th grader, decided to be a rebel one day and climb a 20-foot ladder up to the roof of the school in-between classes. When she decided to do this, Mr. Hill’s sixth sense was activated, and he decided to go check the roof area. Marcy climbed at a steady rate and was 14 feet up the ladder after 28 seconds of climbing when Mr. Hill burst into the room, saw her, and yelled for her to stop. Surprised, Marcy slipped and fell down the ladder at a steady rate for 2 seconds before she caught herself 6 feet up the ladder. A few minutes later, she was safe in ISS. Choose an equation for the relationship between Marcy’s distance climbing up the ladder and time.
Answer:
69 feet per second
Step-by-step explanation:
Answer:
wow ok so- thats my name- i'd climb to the roof, yes. aand the answer is gonna be below.
Step-by-step explanation:
14 - 6 = 8
28 - 2 = 26
the relationship is both differences are in the 2 times tables.
I don’t know what this is
Answer:
me niether tbh
Step-by-step explanation:
Change to y = mx + b form. 3y - 3x = 9
Answer:
y = x+3
Step-by-step explanation:
3y-3x = 9
3y-3x+3x = 9+3x
3y = 3x+9
3y/3 = 3x/3+9/3
y = x+3
Hey there!
The answer is [tex]y=x+3[/tex]
[tex]3y-3x=9[/tex]
[tex]\frac{3y}{3} -\frac{3x}{3} =\frac{9}{3}[/tex]
[tex]y-x=3[/tex]
[tex]y-x+x=3+x[/tex]
[tex]y=x+3[/tex]
Have a great day!
need help im dum (not really but i dont get it)
i will give brainliest
Answer:
20
Step-by-step explanation:
to do % you have to multiply your number (50) by the % which is 40%
but you have to turn your number into a decimal (.40) then multiply
you'll get 20 and there is your answer!
hope this helps!
The value of x =
60°
5
x
30°
Answer:
10
Step-by-step explanation:
with reference angle 30°
perpendicular (p) = 5
hypotenuse (h) = x
Now
sin 30° = p / h
1 / 2 = 5 / x
x = 10
Hope it will help :)
11. Determine the measure of the angles below.
12. Two lines intersect to form the four angles shown in the figure. Which term does not accurately describe the pair of angles 1 and 4?
Answer:
11 - 125 and 55
12 - supplementary
Step-by-step explanation:
5x+20+3x-8=180
step 1 combine like terms
8x+12=180
step 2 subtract 12 from each side
8x=168
step 3 divide each side by 8
x=21
then you just plug in 21 to each equation to find that angle 1 = 125 and angle 2=55
Problem 11
Answers:
5x+20 = 1253x-8 = 55--------------------
Explanation:
The two angles shown here form a linear pair. They supplementary so they add to 180.
(5x+20)+(3x-8) = 180
(5x+3x) + (20-8) = 180
8x+12 = 180
8x = 180-12
8x = 168
x = 168/8
x = 21
We then find the angles to be
5x+20 = 5*21+20 = 125
3x-8 = 3*21-8 = 55
Note how 125+55 = 180 to help confirm the answers
===================================================
Problem 12
Answer: B) Vertical angles
--------------------
Explanation:
Vertical angles are angles that form after intersecting two lines, and the angles are opposite one another. So one example of a vertical angle pairing would be angles 1 and 3. The other vertical angle pair of this diagram are angles 2 and 4. Vertical angles are always congruent to one another.
In this diagram, angles 1 and 4 are adjacent since they are next to each other. In other words, they share a common line (think of apartment neighbors sharing a common wall). Since they are adjacent angles, there is no way they are vertical angles.
Angles 1 and 4 are also supplementary since they form a straight line. They are a linear pair for very similar reasons. This allows us to rule out choices A, C and D.
Side note: the term "linear pair" means that the angles are adjacent and supplementary.
Find each of the trigonometric ratios. I am going to give brainliest to whoever gets this right.
Answer:
Step-by-step explanation:
sin(Z) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{YZ}{XZ}[/tex]
= [tex]\frac{9}{15}[/tex]
= [tex]\frac{3}{5}[/tex]
cos(Z) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{XY}{XZ}[/tex]
= [tex]\frac{12}{15}[/tex]
= [tex]\frac{4}{5}[/tex]
tan(Z) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{XY}{YZ}[/tex]
= [tex]\frac{9}{12}[/tex]
= [tex]\frac{3}{4}[/tex]
sin(X) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{YZ}{XZ}[/tex]
= [tex]\frac{12}{15}[/tex]
= [tex]\frac{4}{5}[/tex]
cos(X) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{XY}{XZ}[/tex]
= [tex]\frac{9}{15}[/tex]
= [tex]\frac{3}{5}[/tex]
tan(X) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{YZ}{XY}[/tex]
= [tex]\frac{12}{9}[/tex]
= [tex]\frac{4}{3}[/tex]
The figures are similar. Find x.
Answer:x=16.5
Step-by-step explanation:
22divided by 4 is 5.5
5.5 times 3 is 16.5
Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same? Will mark Brainly or how ever you call it.
Answer:
∠DEA=∠BAC
Step-by-step explanation:
∠DAE=∠BCA (corresponding angles)
Angles in a triangle add up to 180:
Angles in ΔDAE=Angles in ΔABC
∠DAE+∠EDA+∠DEA=∠BCA+∠ABC+∠BAC
∠EDA+∠DEA=∠ABC+∠BAC (since ∠DAE=∠BCA, we can cancel them out)
∠DEA=∠BAC (∠EDA=∠ABC=90)