Answers
Answer:
-7, -10
Explanation:
To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.
Take a look at the sequence given:
8, 5, 2, -1, -4,...
Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.
8 - first term
5 - second term
8 ? ? = 5
8 - 3 = 5
So, this means they subtracted three to get the next term. Therefore, the pattern should be 'subtract three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.
8, 5, 2, -1, -4,...
8 - 3 = 5
5 - 3 = 2
2 - 3 = -1
-1 - 3 = -4
So, since 'subtracting three' every time gives us the next term, the pattern is correct.
Finally, let's continue the pattern to find the next two terms.
-4 - 3 = -7
-7 - 3 = -10
Therefore, the next two terms in the sequence are -7, -10.
Related Questions
Solve the formula 27a+1/2b=4 for a.
Answers
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?
Answers
Answer:
Option D. 91/4950
Step-by-step explanation:
The following data were obtained from the question:
Barcelona (B) = 23
Real Madrid (R) = 23
Liverpool (L) = 22
Manchester City (M) = 18
Juventus (J) = 14
Total (T) = 100
Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:
P(J1) = n(J) /n(T)
P(J1) = 14/100
Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e
Juventus = 13
Total = 99
Therefore, the probability that the 2nd pick is Juventus is given below:
P(J2) = 13/99
Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:
P(J1 and J2) = P(J1) x P(J2)
P(J1) = 14/100
P(J2) = 13/99
P(J1 and J2) = P(J1) x P(J2)
P(J1 and J2) = 14/100 x 13/99
P(J1 and J2) = 7/50 x 13/99
P(J1 and J2) = 91/4950
Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? A. 85 B. 8 C. 3 D. 105
Answers
Will name brainliest please help me.
Answers
Answer:
CD = 9
Step-by-step explanation:
ΔADE is similar to ΔBCD
Such that:
AD is similar to CD
BD is similar to ED
AE is similar to BC
Taking the proportion of their sides to find the unknown sides CD
=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]
Cross Multiplying
=> 2(CD) = 3*6
=> CD = 18/2
=> CD = 9
Change the percent to a decimal equivalent.
9 7/10
Answers
Answer:
0.97
Step-by-step explanation:
97 /100
You can round once from behind to convert 97% to 0.97
9 7/10 equals 9.7
sorry if the answer is wrong
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answers
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
If f(x) = 4x - 12, what is f(2)?
O A. -4
O'B. 4
O c. -20
D. 8
Helpppp plzzz
Answers
Answer:
-4
Step-by-step explanation:
f(x) = 4x - 12
Let x=2
f(2) = 4*2 - 12
= 8-12
= -4
which equation is represented by the graph below
Answers
Answer:
C). y = ln x + 4
Step-by-step explanation:
First off, we can cancel out the [tex]e^{x}[/tex] graphs.
Now looking at the graph, one can see that when x = 1, y = 4.
So for each [tex]ln[/tex] function, plug in 1 for x.
In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.
Jose earns $400 during the summer. He deposits it in an account that pays simple interest at a rate of 3% per year. Which equation can you use to find the amount of simple interest that Jose earns in 1 year?
Answers
Answer:
12
Step-by-step explanation:
Since this is simple interest the equation will be P*T*R=I T=time which is 1 year. P=money invested or borrowed (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)
Answer:
I = 400 x 0.03 x 1
Step-by-step explanation:
$400 is the principal, 0.03 is the decimal value for the annual rate, and the time is 1 year.
The scale on a map is 1cm for every 400 km. If Maine and Japan are 22cm apart on the map, what is the distance between Maine and Japan? Please help!!!!!
Answers
Answer:
8800km
Step-by-step explanation:
If 1cm = 400km
then you have to substitute in 22cm instead of 1cm making it..
22x400=8800.
Hope this helps.
If f = {(2,5), (3, 2) (4, 6), (5, 1), (2, 2)), then f is a function.
Answers
Answer:
false
Step-by-step explanation:
f is not a function because you can see that two of the points are (2,5) and (2,2). A function can only have one corresponding y-coordinate for every x-coordinate and since this is not the case here, f is not a function.
Helpppppppppppppppppppp solve for x
Answers
Answer:
x=35
Step-by-step explanation:
Since a quadrilateral's interior angles add up to 360°, we get this:
360-85-20=360-4x+x
340-85=360-3x
255=360-3x
-105= -3x
Multiply both sides by -1
105=3x
3x=105
Divide both sides by 3
x=35
A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.
Answers
Answer:
volume of water in the tank when it its half full
The capacity of the water tank = (5.04) /2 = 2.52 m³
2,520 litres
Step-by-step explanation:
Dimensions of a water tank:
Length (l) = 2.0 m,
wide (w) = 1.4 m,
Depth (h)= 1.8 m,
Volume of the tank (V)
LWH
2.0m × 1.4m × 1.8 m
= 5.04 m³
= 5.04 × 1000 litres
/* 1m³ = 1000 litres */
5,040 litres
Therefore,
The capacity of the water tank = 5.04 m³
5,040 litres
What is the volume of the rectangular prism below? (Don't forget to
label your answer!)
Answers
Answer: 84 3/8 or 84.375 inches cubed
Step-by-step explanation:
4 1/2 * 5 = 22 1/2
22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8
675/8 = 84 3/8 or 84.375
Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Answers
Answer:
GJ
Step-by-step explanation:
The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:
[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]
Answer:
It is C
Step-by-step explanation:
Took it on Edg
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
Answers
The cargo plane's speed was 500 mph.
Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel. C) All four sides are congruent. D) Opposite sides are congruent.
Answers
Answer: C
Step-by-step explanation:
C) All four sides are congruent
A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!
A rectangle does not have equal sides, only it's parrel sides are equal to each other.
If this really helped please mark me brainliest!
Answer:
C. All four sides are congruent
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x). Question 11 options: A) (ƒ + g)(x) = x2 + 6x + 3 B) (ƒ + g)(x) = –x2 + 6x + 7 C) (ƒ + g)(x) = x2 + 2x + 3 D) (ƒ + g)(x) = –x2 + 2x – 7
Answers
Answer: C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HELP AM BEING TIMED!!!!!!!!!!
Answers
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021
Evaluate 2x2 - 1 when x= 3.
O A. 35
O B. 25
O c. 5
O D. 17
Answers
Answer:[tex]2*3^{2} -1[/tex]
Step-by-step explanation:
calculate the power: 2*9-1
calculate the product or quotient:18-1
calculate the sum or difference:17
answer:17
Which of the following statements correctly describes the items shown below? (Zoom on to see)
Answers
Answer:
D
Step-by-step explanation:
What can you conclude about the intersection of a chord and the radius that bisects it
Answers
Answer: The radius and the cord must be perpendicular to each other.
Step-by-step explanation:
A cord is a line from a point of circumference of a circle to another point of the circumference of the circle without passing through the centre.
A radius is a line from the centre of a circle to the circumference of the circle.
When the radius line intersect and bisects a cord of a circle, the radius and the cord must be perpendicular to each other.
Answer:
if in a circle a radius bisects a chord then the radius is perpendicular to the chord,
Step-by-step explanation:
the ratio of boys to girls in a school is 4:5 there are 22o boys in the school. How many students attend the school
Answers
Answer:
495 students
Step-by-step explanation:
The 4 part of the ratio is the number of boys.
Divide the number of boys by 4 to find the value of one part of the ratio.
220 ÷ 4 = 55 ← value of 1 part of the ratio, thus
5 parts = 5 × 55 = 275 ← number of girls
Number of students = 220 + 275 = 495
Answer:
495 studentsStep-by-step explanation:
[tex]220 \: boys \\ 4:5 = 4 + 5 \\ boys \: = \frac{4}{9} \times x = 220 \\ = \frac{4x}{9} = \frac{220}{1} [/tex]
[tex]4x = 1980 \\ \frac{4x}{4} = \frac{1980}{4} \\ x = 495 \\ total \: no \: of \: students \: = 495 \\ [/tex]
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Answers
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
|7t|=35 solve the equation
Answers
Answer:
t = 5,-5
Step-by-step explanation:
35/7 = 5
because it is an absolute value, it will always be positive:
-35/7 = -5
Answer:
T = 5,
Step-by-step explanation:
7T = 35
divide 7 by both
T = 5
hope this helps
At the sandwich shop, there are 3 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 3 C. 7 D. 12
Answers
Answer:
D. 12
Step-by-step explanation:
D. 12 as 4 x 3 = 12
Proof
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
Sandwiches = 12
Answer:
12
Step-by-step explanation:
4*2=12
please mark me brainliest :)
Yellow trapezoid equals to ________? not 2 or 3
Answers
Answer:
The yellow trapezoid equals to 6.
Step-by-step explanation:
Assuming that two green items equals to two purple items and one yellow trapezoid, we can make the equation 5+5=2+2+x. Simplifying both sides, we get 10=4+x. If we subtract 4 from both sides and isolate x, we get that x=6.
Answer:
yellow trapezoid = 6
Step-by-step explanation:
since the green crescent equals 5, and there are two on the left side, that would equal 10, so the right side also should equal 10 too. The purple teardrops equal two, and there are two on the right side, so the total of teardrops on the right side is equal to 4. Since both sides need to equal to 10, and we only have 4, we need to find the amount of the yellow trapezoid. To do that you need to subtract 4 from 10, to get 6, which is the amount of the yellow trapezoid.
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answers
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68
Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300 followed by monthly payments of $110. The two options accumulate the same amount of interest and require the same number of monthly payments. What is the amount of interest for this loan?
Answers
Answer: $500
Step-by-step explanation:
Hi, since both credit options accumulate the same amount of interest:
1000+125x=1300+110x
Solving for x(number of months)
125x-110x =1300-1000
15x = 300
x =300/15
x= 20 months
Replacing x =25 in one equation:
1000+125x =
1000+125(20)=
1000+2500= $3500
Finally, we have to subtract the amount of the purchase (3000) to the result obtained:
3500-3000=$500
Feel free to ask for more if needed or if you did not understand something.
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Answers
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
Learn more about rate: brainly.com/question/24304697
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