The missing number will be 108. The sequence is; 4, 12, 36,108, 324, 972, 2916.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The given sequence is;
4, 12, 36,108, 324, 972, 2916
It is observed from the sequence that the following sequence follow a specific rule in which the progressive term is multiplied by a factor of 3.
[tex]\rm 4 \times 3 = 12 \\\\ 12 \times 3 = 36 \\\\ 36 \times 3 =108[/tex]
Hence, the missing number will be 108.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Which quadrilateral will always have 4-fold reflections symmetry
Answer:
square
Step-by-step explanation:
i got it right in edge
A machine is made of two parts, gizmos and widgets. the probability that a gizmo is defective is 0.20, and the probability that a widget is defective is .25. if a machine is assembled with one gizmo and one widget, what is the probability that the machine will not have any defective parts?
Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half? $60.30 $70.00 $75.10 $100.10
the answer is $60.30 because half of 100.50 is 50.25 and the both would pay 10%. 10% of 100.50 is 10.05.
10.05+50.25= 60.30
In the question it is already given that Melissa and Joey would have to share the total bill along with the tips at the resturant during their dinner. The paid the water an amount of $100.50 and additional 20% tip.Firstly we have to find the amount of the tip and then add with the total amount to calculate the total amount paid by both of them.
Amount of tips paid to the waiter = (20/100) * 100.50 dollars
= 2010/100 dollars
= 20.10 dollars
So Melissa and Joey paid $20.10 as tips to the waiter.
Then the total amount paid by both of them = (100.50 + 20.10) dollars
= 120.60 dollars
Then the amount paid by Melissa and Joey = 120.60/2 dollars
= 60.3 dollars.
So Melissa and Joey will individually pay $60.3 each.
I have another Brainliest
Find the measure of the complement and the supplement of the angle.
Which symbol can be placed in the box to make this number sentence true?64 (13 – 5) + 8 = 16
a.–
b.÷
c.+
d.×
A bicycle shop rents bicycles for $3.50 per hour and helmets for $6 per day. Ashley has $20 to spend to rent a helmet and a bicycle for some number of hours. For how many hours can she rent the bicycle?
What is the sum of the series?
4+12+36+108+...+8748
8908
10,204
13,120
17,816
Final answer:
The sum of the series 4+12+36+108+...+8748 is found by observing that it is a geometric progression with a common ratio of 3. By comparing the last term to the options, and understanding the rapidly increasing nature of geometric series, the sum is slightly larger than the last term, which only matches the option 8908.
Explanation:
To find the sum of the geometric series 4+12+36+108+...+8748, we first need to identify the common ratio (r) of the series. Each term is obtained by multiplying the previous term by the constant r. In this case, r = 12 / 4 = 36 / 12 = 108 / 36 = 3. The series is therefore a geometric progression with the first term a = 4 and common ratio r = 3.
We can then use the formula for the sum of the first n terms of a geometric series, which is Sn = a(1-rn) / (1-r), where r ≠ 1. However, we need the number of terms (n). To find n, we use the formula for the nth term of a geometric sequence, which is an = a * rn-1. We can solve for n considering the last term given: 8748 = 4 * 3n-1.
However, instead of manually finding the value of n and then the sum, let us approach the problem with the available options. The sum of a geometric series increases very rapidly due to the exponential nature of each subsequent term. Comparing the last term with the provided options, we can infer that the sum has to be a little bit greater than the last term of the series, 8748.
By inspection of the options, the only number that is slightly greater than 8748 is 8908. Therefore, to the quickest approximation and without going through detailed calculations, the sum of the series is 8908.
Express the polynomial −g + 3g + 2g2 in standard form and then classify it.
Answers plz?
Sara bought a soft drink for 4 dollors and 9 candy bars. she spent a total of 49 dollors. how much did each candy bar cost
5. The two trapezoids are similar. Which is a correct proportion for corresponding sides?
A. BA FG
— = —
FE BC
B. BA CD
— = —
FE GD
C. BA AD
— = —
FE GD
D. BA AD
— = —
FE FG
What is the next fraction in each of the following patterns? a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .? b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .? c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .? PLEASE HELP ME, ALSO CAN YOU EXPLAIN HOW YOU GOT THE ANSWER SO I CAN FIGURE IT OUT ON MY OWN THE NEXT TIME.
1.The graph shows the distance a car travels at a constant speed. What is the speed of the car?
2.Write an equation that represents the speed of the car.Question 2 options:
Use the Law of Sines to find the missing angle of the triangle. Find measure of angle b given that c=83 , a=44 and that measure of angle a =31 . A=76.3 degrees B= 15.8 degrees C= 72.7 degrees,
Answer:
C : angle B is 72.7°
Step-by-step explanation:
I did the same Assingnment
Help me on this please
Imagine if you wrapped a rope tightly around the earth at the equator. how much longer would you have to make the rope if you wanted it to be exactly one foot above the surface all the way around?
what is the approximate area of a rectangle that is 5ft in length and 15 feet in width
What is the difference between log(x/y) and log(x)/log(y)?
The difference between log(x/y) and log(x)/log(y) is that the first expression can be written as log x - log y, which is not equal to the second term.
What is a logarithm function?The opposite of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 1000 = 10³, the logarithm of 1000 in base 10 is 3, or log₁₀ = 3.
Given:
log(x/y) and log(x) / log(y),
The formula for log(x / y) can be written as shown below,
log(x / y) = log x - log y
As you can see the term is not equal to log(x) / log(y), hence they are different,
The values of the function would differ as in this expression log(x/y) you would first divide x by y and then will take the log of the result,
In the expression log(x) / log(y), you will take the log first individually and then divide the answer.
To know more about the logarithm function:
https://brainly.com/question/16017369
#SPJ2
Sally left a $12.24 tip that represented 17% of her bill. What was the original cost of the meal?
Answer:
72 is the og
Step-by-step explanation:
72*.17=12.24
The original cost of the meal is $72.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that Sally left a $12.24 tip that represented 17% of her bill.
Assume that the original cost of the meal is $[x]. So, we can write -
12.24 = 17% of {x}
12.24 = (17/100) × {x}
{x} = (12.24 x 100)/17
{x} = 1224/17
{x} = 72
Therefore, the original cost of the meal eaten by Sally is $72.
To solve more questions on percentage, visit the link below -
brainly.com/question/24159063
#SPJ6
The quality-control department of Starr Communications, a manufacturer of video-game DVDs, has determined from records that 1.5% of DVDs sold have video defects, 0.8% have audio defects, and 0.4% have both audio and video defects. What is the probability that a DVD purchased by a customer a. will have a video or audio defect? b. Will not have a video or audio defect?
Final answer:
The probability that a DVD will have a video or audio defect is 1.9%, calculated using the principle of inclusion-exclusion. The probability that a DVD will not have any defect is 98.1%, obtained by subtracting the probability of having a defect from 100%.
Explanation:
To solve the probability that a DVD purchased by a customer will have a video or audio defect or not, we can use the principle of inclusion-exclusion for probabilities.
According to the given data:
P(video defect) = 1.5%P(audio defect) = 0.8%P(both video and audio defects) = 0.4%Part a: The probability that a DVD will have a video or audio defect (at least one type of defect) is calculated by adding the probabilities of each defect and subtracting the probability of both defects occurring, as these are counted twice.
P(either type of defect) = P(video defect) + P(audio defect) - P(both defects)
P(either type of defect) = 1.5% + 0.8% - 0.4% = 1.9%
Part b: To find the probability that a DVD will not have any defect, we subtract the probability of either defect from 100%.
P(no defect) = 100% - P(either type of defect)
P(no defect) = 100% - 1.9% = 98.1%
Therefore, the probability that a DVD will have a video or audio defect is 1.9%, and the probability that a DVD will not have any defect is 98.1%.
Jamie rode her bike home for 5 blocks before realizing she forgot her math book at school and would need it for her homework. She rode back to school, found her math book, and then rode home.
Which graph best represents the scenario described?
Answer:
Its B
Step-by-step explanation:
I just took the test
Why would ww2 make it easier for African nations to gain independence
After the WW2, Britain had become weaker and its powers had started to decrease. It had lost many of its soldiers and revenues in the world war. Also it needed to focus on the development of its own country now.
so, the rebels in the colonial Africa became stronger than Britishers. So Africans were able to fight back for their freedom and land. Hence, after a while colonial powers left completely from certain parts of Africa.
The length of a rectangle is 4 cm more than 3 times it’s width. If the area of the rectangle is 15 cm^2, find the width. Use quadratic equations.
The first terms of (x + y)5 is y5.
TRUE
FALSE
Matthew ran 3/8 mile and then walked 7/10 mile. Which pair of fractions can he use to find how far he went in all? (A 15/40 and 28/40 (B 35/40 and 21/40 (C 35/40 and 37/40 (D 30/80 and 70/80 *Please Help*
Answer:
Before we could add these numbers, 3/8 and 7/10 need a common denominator. Both 8 and 10 go into 40.
8 goes into 40 five times
3/8= (3*5)/40 = 15/40
10 goes into 40 four times
7/10= (7*4)/40= 28/40
ANSWER: A) 15/40 and 28/40
Hope this helps! :)
Step-by-step explanation:
Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 2.
What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?
−3
−1.5
1.5
3
PLEASE HELP ASAAAPPPPPP
What is the perimeter of this tile.
Consider the proof.
Given: In △ABC, BD ⊥ AC
Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A)
Statement
Reason
1. In △ABC, BD ⊥ AC 1. given
2. In △ADB, c2 = x2 + h2 2. Pythagorean thm.
3. In △BDC, a2 = (b – x)2 + h2 3. Pythagorean thm.
4. a2 = b2 – 2bx + x2 + h2 4. prop. of multiplication
5. a2 = b2 – 2bx + c2 5. substitution
6. In △ADB, cos(A) = 6. def. cosine
7. ccos(A) = x 7. mult. prop. of equality
8. a2 = b2 – 2bccos(A) + c2 8. ?
9. a2 = b2 + c2 – 2bccos(A) 9. commutative property
What is the missing reason in Step 8?
a. Pythagorean theorem
b. definition of cosine
c. substitution
d. properties of multiplication
The Law of Cosines is used to find the remaining parts of a triangle when the triangle is not a right triangle and when either the lengths of two sides and the measure of the included angle is known (SAS) or the lengths of the three sides (SSS) are known.
The law of cosine states if a,b,c are the three sides of any triangle then [tex] a^{2} =b^{2} +c^{2} -2bccosA [/tex]
In the above proof in statement 8 the x in statement 5 is replaced by c cos A from statement 6.
Among the given options ,option C holds true as the reason for statement 8.
Which is a possible number of real roots for a cubic function? Select all that apply.
0
1
2
3
4
what even is this,