Answer:
34, 15, -4, -23 and -42
Step-by-step explanation:
We are to find the first five sequence
when n = 1
f(2) = f(1) - 19
f(2) = 34 - 19
f(2) = 15
when n = 2
f(2+1) = f(2) - 19
f(3) = f(2) - 19
f(3) = 15 - 19
f(3) = -4
when n = 3
f(3+1) = f(3) - 19
f(4) = f(3) - 19
f(4) = -4 - 19
f(4) = -23
when n = 4
f(4+1) = f(4) - 19
f(5) = f(4) - 19
f(5) = -23 - 19
f(5) = -42
Hence the first five terms in the arithmetic sequence are 34, 15, -4, -23 and -42
The sum of a number and 16 times it's reciprocal is 10. Find the numbers
Answer:
The answer is 2 and 8!
Hope this helped :D
what is the y-intercept of the line shown ?
find the value of x
-5x - 9
20 points
Answer:
-5x - 9=0
-9=5x
x=-9/5 is your answer
Brainliest to correct answer
Answer:
No, zack will finish first.
Step-by-step explanation:
I would rather not write it out but zack should finish first
please help ASAP!!!!!!
the difference of two variables x and y is 7. find two ordered pairs that satisty this equation if the values of y are 1 and 3... Show your solution
Answer:
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
Step-by-step explanation:
Given statement is:
"difference of two variables x and y is 7"
This can be mathematically written as:
[tex]x-y = 7[/tex]
To solve this we have to put y = 1 and y = 3
Now,
Putting y = 1 in the equation
[tex]x-1 = 7\\x = 8[/tex]
Putting y = 3 in the equation
[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]
Ordered pairs are of the form (x,y)
Hence,
The ordered pairs that are solution to this equation are:
(8,1) and (10,3)
Divide 2+1/2
A. 2
B. 16
C. 8
D. 4
Answer:
the answer would be 4, the number 2 would double since your dividing it by 0.5
PART OF A STUDY SET!!!! NEED THE ANSWER ASAP BEING TIMED GIVING BRAINLY AND THANKS FOR HELP!!!!!!!!
1.)
What value of x makes the following equation true?
2(6 - 2x) - 2x = 2(5 + x) - 4
A) 3/4
B) 1/4
C) -1/4
D) -3/4
2.)
What is the solution to the following equation?
3(7 + 2x) + 3 = 3(5 + x) - 9(x + 1)
A) 3/2
B) 2/3
C) -2/3
D) -3/2
Answer:
1.) A
2.) D
Step-by-step explanation:
Answer:
1. 3/4
2.-3/2
Step-by-step explanation:
For the first problem, distribute the 2(6-2x) and 2(5+x) to simplify the equation. This means, multiply what's inside the parentheses by 2. The simplified version of the equation is: 12-4x-2x=10+2x-4.
Once you have distributed, then combine like terms and solve for x.
You do the same thing for the second problem.
What's 4/5 as a percentage?
Answer:
80%
Step-by-step explanation:
% is out of 100 so make the denominator of 4/5 to be 100:
4/5 times 20/20 = 80/100 = 80%
Answer:
80%
Step-by-step explanation:
4 divided by 5 equal .8
.8 x 100 equals 80
It's multiplied by 100 because usually percentages are out of 100.
OR
You can move the decimal in .8 to 2 space to the right
5 points
14. A Bakery made 140 buns. A Restaurant bought 80 of the buns. The
remaining buns were put in to 4 buns each. How many bags of buns are
there. *
60
55
35
15
Answer: 15
Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.
HOPE THIS HELPS!
Anyone can find “v” and “u”??
Answer:
[tex]v = \frac{16}{3} \: \: and \: \: u = \frac{20}{3} [/tex]
Step-by-step explanation:
In triangle WYZ ,
[tex] {u}^{2} = {4}^{2} + {v}^{2} = 16 + {v}^{2} [/tex]
In traingle WXZ ,
[tex] {(3 + v)}^{2} = {5}^{2} + {u}^{2} [/tex]
Putting the value of U^2 in above eqn.
[tex] = > {(3 + v)}^{2} = 25 + (16 + {v}^{2} )[/tex]
[tex] = > {v}^{2} + 6v + 9 = 41 + {v}^{2} [/tex]
[tex] = > {v}^{2} - {v}^{2} + 6v = 41 - 9[/tex]
[tex] = > 6v = 32[/tex]
[tex] = > v = \frac{32}{6} = \frac{16}{3} [/tex]
Putting the value of V in eqn. below :-
[tex] {u}^{2} = 16 + { (\frac{16}{3} )}^{2} [/tex]
[tex] = > {u}^{2} = \frac{256}{9} + 16[/tex]
[tex] = > {u}^{2} = \frac{256 + 144}{9} = \frac{400}{9} [/tex]
[tex] = > u = \sqrt{ \frac{400}{9} } = \frac{20}{3} [/tex]
Someone please explain step by step.
Find the 10th term of the geometric sequence whose common ratio is 1/2
and whose first term is 5.
Answer:
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
Step-by-step explanation:
geometric progression formula:
[tex] {n}^{th} \: term = ar ^{n - 1} [/tex]
given:
common ratio, r = 1/2
[tex]first \: term \: = 5[/tex]
1) find the value of a
[tex] {n}^{th} \: term \: = a {r}^{n - 1} [/tex]
we're finding the 1st term, so substitute 1 into n:
[tex] {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} [/tex]
first term is 5. so we substitute 5 into the equation:
[tex]5 = a(1)[/tex]
[tex]a = 5[/tex]
2) find the 10th term
we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:
[tex] {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} [/tex]
[tex] {10}^{th} \: term = 5( \frac{1}{512} )[/tex]
[tex] {10}^{th} \: term = \frac{5}{512} [/tex]
5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?
Answer:
2,160 Hours
Step-by-step explanation:
Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong
Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,
The unit rate for the work of Phillip is given, $11.25 per hour.
Therefore, his earning for h hours = $11.25h
For (8+h) hours = $11.25(h+8)
Since, he earned $540 for both weeks,
Therefore,
11.25(h+8) + 11.25h = 540
11.25h + 90 + 11.25h = 540
22.5h = 450
h = 20
h+8 = 28
Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.
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SinA+cosB=1, A=30 degree. Find B
Answer:
Step-by-step explanation:
The value of sin 30 = 1/2
Thus cos B = 1-1/2 = 1/2
Nancy decides to roll a die three times.
What's the probability that she will roll all
even numbers?
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8
Answer:
0.125
Step-by-step explanation:
fastbridge
solve the system using substitution.
2x + 2y = 30
y - 4x = 0
( _ , _ )
Answer:
x = 3
y= 12
Step-by-step explanation:
2x + 2y = 30
y - 4x = 0 /*2
2x + 2y = 30
2y - 8x = 0
-----------------
10x = 30
x = 3
y= 12
Answer:
( 3 , 12 )
Step-by-step explanation:
2x + 2y = 30 and y - 4x = 0 are two given equation
Name The equation
2x + 2y = 30 ...(1)
y - 4x = 0
y = 4x ...(2)
Now, Put the value of y in equation 1
2x + 2y = 30
2x + 2(4x) = 30
2x + 8x = 30
10x = 30
x = 30/10
x = 3
Now,
Put the value of x in equation 2
y = 4x
y = 4(3)
y = 12
Thus, The value of x is 3 and the value of y is 12
FOR VERIFICATION ONLY:-2x + 2y = 30 ...(1)
2(3) + 2(12) = 30
6 + 24 = 30
30 = 30
y = 4x ...(2)
12 = 4(3)
12 = 12
Hence, L.H.S = R.H.S
-TheUnknownScientist
It takes five people four hours to paint a fence.
How long would it take ten people to paint the same fence at the same rate?
Remember to include units in your answer.
Answer:
2 hours
Step-by-step explanation:
First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.
5 people can paint a fence in 4 hours.
1 person can paint a fence in = 5 x 4
= 20 hours
10 people can paint the fence in = 20/10
= 2 hours
plz mark as brainliest
The Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
A) Write a system of inequalities to model this scenario, and graph the system.
B) What is the maximum number of people who could be in the group, and how much would it cost? Justify your answer
C) Suppose that only adults are going to go on the tour. How many can there be? Explain your answer.
Answer:
Well, 1000>(15x+t)+(50x+100t) if there are children aboard.
B. The maximum amount is 19 if one adult is going with 18 children (not including the meal plan). And the total would be $1000
C. If only adults are going then a total of 8 adults can go if they are planning to use the raffle ticket for the meal plan too. If not then the total is 10.
I hope this is right.
The system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.
Assume that there are [x] children in the group and [y] adults. So, we can write -
x + y ≤ 8 ... Eq[1]
(250 + 100)y + (250 + 50)x + 15(x + y) ≤ 1000
350y + 300x + 15x + 15y ≤ 1000
375y + 315x ≤ 1000
5(75y + 63x) ≤ 1000
75y + 63x ≤ 200 ... Eq[2]
Refer tot the graph attached. The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
Therefore, the system of inequalities to model this scenario will be -
x + y ≤ 8
75y + 63x ≤ 200
The common region in the first quadrant gives the possible pair of peoples who can go to the trip.
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Help i'll give you brainliest
Answer:Step-by-step explanation:
the first one and third one
Jack earns $5 an hour delivering pizzas. He saved $300. He needs at least $1000 for a down payment for a car. Which equality best describes this situation, when n represents the number of hours he delivered pizza?
Answer:
5n + 300 ≥ 1000
Step-by-step explanation:
find the mode of the data 6,8,3,6,3,7,4,6,7,3,6.
Answer:
6 is the answer
Step-by-step explanation:
Given,
Observations = 6,8,3,6,3,7,4,6,7,3,6
From the above given data,
The observation 6 occurs 4 times, observation 3 occurs 3 times,observation 7 occurs 2 times and the observation 8 occur 1 time.
Mode:The most frequently occurring value.
So the mode of the data is 6 as it occurs more frequently than other.
i don’t understand linear equations
Answer:
a
Step-by-step explanation:
y=4x+ 1
A collector has a box of 32 figurines. The value of each figurine increased by $2.32 over the past year. The box of figurines is now worth $114.24. What was the original cost, x, of one figurine? The original cost of one figurine was .
Answer:
$1.25
Step-by-step explanation:
step 1:
2.32 x 32
answer:
74.24
step 2:
114.24 - 74.24
answer:
40
step 3:
40 divided by 32
FINAL answer:
40 divided by 32 = x
x =
1.25--------------
the original cost was $1.25! :D
Line A Is Parallel To Line B. If The Measure Of Z7 Is 114”, What Is The Measure Of 3
Answer:
114°
Step-by-step explanation:
because they are parallel they have the same measure
The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.
What are correspondence angles?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.
In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.
From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-
∠7 = ∠3
114 = ∠3
Therefore, angle 3 will be 114°.
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simplify each expression using the distributive property
9(-7q-6)
Answer:
-63q-54
Step-by-step explanation:
When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.
9(-7q-6)
-63q-54
Hope this helps, and have a great day o(*￣▽￣*)ブ
PLEASE HELP ASAP!!!!
Answer:
y=7
Step-by-step explanation:
Since they are all congruent angles this means that the sides are equal too.
be SPEEDY! Name two
perpendicular lines and two parallel lines.
4. How do we divide polynomials using synthetic division?
Answer:
here
Step-by-step explanation:
Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.
Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.
Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.
Step 4 : Add the two numbers together and write the result in the bottom of the row.
Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.
Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.
With the information given, can you prove
that this quadrilateral is a parallelogram?
D
В
Yes
No
Answer: No
Currently we don't have enough information to prove this quadrilateral is a parallelogram. One piece of information that would be useful would be if the other diagonal is bisected. If that's the case, then we have a parallelogram (we would first prove the triangles congruent and then use the corresponding congruent angles to set up the parallel lines). Unfortunately, we only know about one diagonal being bisected, but not both, so we don't have enough info.
All of the following effect the wind motion EXCEPT
A. Gravity
B. Rotation of the earth
C. Friction with the ground
D. Location of high and low pressure
(Science middle school)
Answer:
I think option D.
Step-by-step explanation:
lmk if it's wrong