Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
Sequence is just number line sir, so to begin with you get n=1, then n=2, then n=3, then n=4, these are the first 4 terms
Answer:
a) 4, 7, 12, 19
b) 2, 8, 18, 32
Step-by-step explanation:
In order to find the first 4 terms, you have to substitute 1 to 4 into n for both expressions :
[tex]a) {n}^{2} + 3[/tex]
[tex]1st \: term \\ {1}^{2} + 3 = 4[/tex]
[tex]2nd \: term \\ {2}^{2} + 3 = 7[/tex]
[tex]3rd \: term \\ {3}^{2} + 3 = 12[/tex]
[tex]4th \: term \\ {4}^{2} + 3 = 19[/tex]
[tex]b)2 {n}^{2} [/tex]
[tex]1st \: term \\ 2( {1}^{2} ) = 2[/tex]
[tex]2nd \: term \\ 2( {2}^{2} ) = 2(4) = 8[/tex]
[tex]3rd \: term \\ 2( {3}^{2} ) = 2(9) = 18[/tex]
[tex]4th \: term \\ 2( {4}^{2} ) = 2(16) = 32[/tex]
Josh practice gymnastics each day after school the data shows the lengths of time josh practiced gymnastics for two weeks
Make a Tally table and line plot to show data
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer
Make a tally table and line plot to show the data.
Time (in hours) Tally Total
[tex]\frac{1}{4}[/tex] // 2
[tex]\frac{1}{2}[/tex] / 1
[tex]\frac{3}{4}[/tex] /// 3
1 //// 4
Hope it will find you well.
An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
We have,
Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.
Given data:
June 2007: p = 4,500 (in thousands, so p = 4.5)
September 2008: p = 5,100 (in thousands, so p = 5.1)
We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.
Using the data points,
4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)
5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)
Solving this system of equations will give us the values of r and i.
Subtracting the second equation from the first equation:
4.5 - 5.1 = r(18) - r(32)
-0.6 = -14r
r = -0.6 / -14
r = 0.043
Substituting the value of r into one of the equations:
4.5 = 0.043(18) + i
4.5 = 0.774 + i
i = 4.5 - 0.774
i = 3.726
Therefore,
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
Learn more about expressions here:
https://brainly.com/question/3118662
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16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket?
Answer:
adult tickets are $8 and student tickets are $14
Step-by-step explanation:
to find the price of adult and student tickets, first look at all the given values:
a = adult tickets
s = student tickets
so: 4a + 5s = 102
and : 7a + 5s = 126
since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:
126-102 = 24
there are 3 more adult tickets in the equation with a total of 126, therefore:
24 / 3 = 8
that means each adult ticket is work 8 dollars.
now substitute this value:
4(8) + 5s = 102
32 + 5s = 102
you can solve this by concluding that 102- 32 is 70
that means 5(s) has to equal 70
so 70 / 5 = s
70/5 = 14
so the value of s = 14 and the value of a = 8
Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?
Answer:
261
Step-by-step explanation:
Answer:
Katie gave away 261 gel pens.
Step-by-step explanation:
3/4 ÷348= 261
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.
Answer:
C, A and B
Step-by-step explanation:
Tank A holds 40 Liters and 5 fish.
Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]Tank B holds 100 Liters and 12 fish.
Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]Tank C holds 180 Liters and 23 fish.
Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]Therefore, the volume per fish from least to greatest is:
7.83, 8 and 8.33
These correspond to the tanks: C, A and B respectively.
Answer:
CAB
Step-by-step explanation:
Got it right in Khan!
what is the sigh of 48 2/9 + (-39 8/9)
Choose 1 answer:
Positive
ON
Negative
Neither positive nor negative-the sum is zero.
Answer:
NEGATIVE SIGH
Step-by-step explanation:
The Answer is 24
Answer:
the answer is positive
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is black? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
1/4
Step-by-step explanation:
there is 3 black marbles and 3+4+5=12 total marbles. 3/12=1/4
ill mark u brainliest please help me!
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.
Answer: The answer is C
Step-by-step explanation:
The way it is written is very important
it goes
AB is to DE
BC is to EF
AC is to DF
Find the volume of the prism
pls!! show how you got the volume
Answer:
Step-by-step explanation:
The way you can solve this is by splitting the cube into two parts.
Split the top cube apart from the bottom cube and then find the volume of each and add them together.
The first cube on top would be 80x90x75= 540000 centimeters
The second cube would be 270x75x80=1620000 centimeters
540000+1620000=2160000 centimeters
Hope this help!
Comment if you would like a visual drawing of the math!!
(Also the answer can be written as 21600 meters)
Pls help I need these points
Justin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloon
What is the maximum height of the water balloon?
How long does it take to reach its maximum height?
Answer:
a) 64 feetb) 1 secStep-by-step explanation:
Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.
Velocity = dH/dt = 0
dH/dt = -32t+32 = 0
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
Substituting t = 1sec into the modeled equation of the height
H = -16t²+32t+48
H = -16(1)²+32(1)+48
H = -16+80
H = 64 feet
The maximum height of the water balloon is 64 feet
b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.
64 = -16t²+32t+48
-16t²+32t = 16
16t²-32t+16 = 0
t²-2t+1 = 0
t²-t-t+1 = 0
t(t-1)-1(t-1) = 0
(t-1)² = 0
t-1 = 0
t = 1sec
It took the water balloon 1 sec to reach its maximum height.
What must be added to each term of the ratio 2:3 so that it may become equal to 4:7
Step-by-step explanation:
HOPE THE ANSWER IS CORRECT AND USEFUL
I'M BEING TIMED HELP
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
acceleration = 9.8 m/s^2
Step-by-step explanation:
The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]
Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)
the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]
In fact you can use any two pairs of the table, and will get the same result.
So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]
The acceleration due to gravity is 9.8 m/s^2.
What is the length of the leg of a right triangle if one leg is 4 and the hypotenuse is 5?
a.25
b.3
c.16
d.9
Answer: B. 3
Step-by-step explanation:
4^2 + b^2 =5^2
16 + b^2= 25
-16 -16
b^2 = 9
[tex]\sqrt{9} =3[/tex]
find the value of trig function indicated, use Pythagorean theorem to find the third side if you need it. Part 4
Answer:
[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]
Step-by-step explanation:
A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)
According to the trigonometric properties:
[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]
[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]
[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]
[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]
[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]
[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]
Use the above formulas with corresponding sides:
[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]
[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]
[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]
[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]
Hope this helps!
:)
Daily Brainliest #1 - Needs to be correct / First correct person to answer simple explanation gets today's brainliest
(2+5)×(8+5)
Answer:
91
Step-by-step explanation:
(2 + 5)(8 +5)
2 + 5 = 7
8 + 5 = 13
7 * 13 = 91
Solve the open sentence.
-35n+6 57
ons-9 and ns6
n> 9 and ns 7
On-9 and ns1
ons 3 and ns 7
Answer:
-9 ≤n ≤1
Step-by-step explanation:
-3 ≤ n+6 ≤ 7
Subtract 6 from all sides
-3 -6≤ n+6-6 ≤ 7-6
-9 ≤n ≤1
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height of the fifth player is unknown. 137 cm, 150 cm, 144 cm, 149 cm Is the fifth player taller or shorter than 141 centimeters?
[tex]\frac{137+150+144+149+x}{5} =141[/tex]
[tex]x=125[/tex]
Therefore, the man is shorter than 141 centimeters.
in what ways can the graph of a linear function be transformed
Answer:
Using Transformations
Step-by-step explanation:
14th term of geometric sequence 10,20,40
what is 222 times 5
no explanation please
Answer:
1110
Step-by-step explanation:
Hey there!
222 multiplied by 5 is 1110.
You can also use a calculator to find that out haha!
Have a wonderful day!
Can someone help me please??
Answer:
B.
Step-by-step explanation:
It's just y = 2x because if you look the y is two times the x.
What is the 3rd terms of the sequence:
f(1)=-3, f(n)= f(n-1)+5
Answer:
f(3) = 7
Step-by-step explanation:
Using the recursive formula and f(1) = - 3 , then
f(2) = f(1) + 5 = - 3 + 5 = 2
f(3) = f(2) + 5 = 2 + 5 = 7
Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²
Answer:
Below.
Step-by-step explanation:
i) (a + b)^2 = a^2 + 2ab + b^2
= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2
= x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2
= x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy
= 4x^2.
ii) (a - b)^2 = a^2 + b^2 - 2ab
= (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)
= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2
= x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy
= 4y^2.
Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.
Answer:
No
Step-by-step explanation:
This is because those 3 values are not pythagorean triples
2² is not equal to 1.7² + 1.1²
Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem
Answer:
1) 3.5
2) 0.875
5)7y -14
Step-by-step explanation:
1)7y= 0+2
Y= 2/7=
3.5
2)7y= 6+2=8
Y= 8/7=0.875
5) I just multiplied outside value which is7 with the value inside the bracket
I just solve the one I know.
help pls!
A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?
show work pls
Answer:
the probability that the next gumball that comes out will be neither yellow nor blue = 6/17
Step-by-step explanation:
neither yellow nor blue gumball = pink gumball = 6
3 yellow + 8 blue + 6 pink = total =17
Point D is located on the segment CE. IF CD = 24 and DE = x and CE - 5x, what is the measure of segment CE?
Answer:
30Step-by-step explanation:
If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE
Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;
[tex]24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6[/tex]
Since CE = 5x, CE = 5(6) = 30
The measure of segment CE is 30
Which values are equivalent to the fraction below? 6^7/6^5
Answer:
36
Step-by-step explanation:
Because the bases are the same we can just subtract the exponents to get us 6² or 36.
The following data shows prices of meal options at Bob's Burgers. Bob
wants to construct a histogram from this graph. Prices of Meal Options at
Bob's Burgers: $6, $7, $7, $8,$9,$10, $10, $11, $11, $12,$12, $13, $13, $13,
$13,$14, $14, $14, $15, $15, $15, $15, $16, $16, $17. How many meals could
belong in the interval $10.99 - $13.99? *
Answer:
Step-by-step explanation:
The number of meals that could
belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are
$11, $11, $12,$12, $13, $13, $13,$13
The frequency is 8
Therefore, 8 meals could
belong in the interval $10.99 - $13.99
attachment need help asap
Answer:
c because the x value is equal to the y value
Step-by-step explanation:
Answer:
x=y
Step-by-step explanation:
They are both opposite each other.
Parallel to each other