Answers
Answer:
[tex]a_{15}=-268,435,456[/tex]
Step-by-step explanation:
First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc
[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]
The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:
[tex]a_n=a_1x^{n-1}[/tex]
It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.
Plug in the information we have to get the equation for this sequence:
[tex]a_n=(-1)(-4)^{n-1}[/tex]
Then, you can solve for the 15th term:
[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]
Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.
Related Questions
I need helppp help meeeeeeee
Answers
1) [tex]\frac{11-13}{4-7}= \frac{2}{3}[/tex]
2) [tex]\frac{-2-7}{-10-(-7)}=\frac{-9}{-3} =3[/tex]
3) [tex]\frac{9-3}{-11-(-14)} =\frac{6}{3}=2[/tex]
4) [tex]\frac{8-4}{11-(-9)} =\frac{4}{20}= \frac{1}{5}[/tex]
ok done. Thank to me :>
"√2n-5 = 10."
Please Show Step By Step
Answers
Answer is 15√2/2. I think.
What is the degree of polynomial?
With example!
Answers
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)
pls answer quickly
A pool charges $7 for 2 daily pool passes. Which table could represent the situation?
Answers
Answer: B
Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees
a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000
pls answer asap!!!
Answers
Answer:
Hi, the answer is a.
Step-by-step explanation:
1. 1800-200=1600
2. As 1800 is total x will be smaller amount. so....
3. when we write a subtraction statement bigger number - smaller number..
4. So answer will be 1600-x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.
Then the expression is given as,
⇒ 1800 - x - 200
Simplify the expression, then we have
⇒ 1800 - x - 200
⇒ 1600 - x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2
Don’t understand this anyone help I will give Brainyest thing
Answers
Answer:
11.8 meters
Step-by-step explanation:
The triangle drawn is a right triangle. Two of its side lengths are given. The Pythagorean theorem tells you how those relate to the third side.
The sum of the squares of the legs of the triangle is equal to the square of it hypotenuse.
(?)² + 34² = 36²
(?)² + 1156 = 1296 . . . evaluate the squares
(?)² = 140 . . . . . . . . . . subtract 1156 from both sides
(?) = √140 . . . . . . . . . take the square root
(?) ≈ 11.8 . . . meters
The length of the shadow is about 11.8 meters.
make r the subject of the formula
Answers
Answer:
r=[tex]\frac{3t}{t-1}[/tex]
Step-by-step explanation:
t(r-3)=r
tr-3t=r
tr-r=3t
r(t-1)=3t
r=[tex]\frac{3t}{t-1}[/tex]
A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the sticker?
___centimeters by ____ centimeters
Answers
Length + width = 1/2 the perimeter:30/2 = 15
Area = length x width
List the factors of 50: 1, 2, 5, 10, 25, 50.
Find the two factors that when added together equal 15:
Dimensions are 5 cm by 10 cm.
See attachments for answer and math work.
Colton and Gage were building a castle together. Colton was 5 times as fast at building the castle than Gage. If it takes 120 blocks to build the castle, how many blocks did Colton build on the castle?
A. 144 blocks
B. 100 blocks
C. 24 blocks
D. 20 blocks
Answers
Answer:
100 blocks.
Step-by-step explanation:
Let x represent number of blocks built by Gage.
We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be .
We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.
Hope it helped!
What is the probability of getting a number less than 4 and then roiling a 4?
Answers
well there is -4 which is the oppsite of positive 4 if that what you ment
4(2x-5) = 5x + 4
What is the answer? Please include step by step method.
Answers
Answer:
x=8
Step-by-step explanation:
4(2x-5) = 5x + 4
First, use distributive property for the first part of the equation:
8x - 20 = 5x + 4
Then, move everything to the left of the equation:
Remember, when you move something over an equals sign, the sign in front of the number changes.
8x - 20 - 5x - 4 = 0
Then, combine the like terms:
3x - 24 = 0
Move the -24 to the other side of the equation:
3x = 24
Finally, divide both sides by 3 to isolate the x.
3x/3 = 24/3
3 cancels out on the first half.
x = 24/3
x = 8
Hope this helps! Have a great day!
Answer:
x=8
Step-by-step explanation:
Step 1.
4(2x-5)=5x+4
8x-20=5x+4
Step 2.
Add 20 to both sides
8x-20=5x+4
8x-20+20=5x+4+20
Step 3.
Simplify add the numbers
8x=5x+24
Step 4.
Subtract 5x from both sides of the equation
8x=5x+24
8x-5x=5x+24-5x
Step 5
Simplify
combine like terms
3x=24
Step 6
Divide both sides of the equation by the same term
3x=24 3x/3=24/3
Step 7
Simplify
Cancel terms that are in both the numerator and denominator
divide the numbers
x=8
can somebody help me out which one is correct
A , B , C , D ?
Answers
Calculate the value of 4321 (base 5) + 343 (base 5)
Answers
In the "1s" place,
1₅ + 3₅ = 4₅
In the "5s" place,
2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅
In the "25s" place, we carry the leading 1 from the "5s" place,
3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅
In the "125s" place, we carry over the 1 again,
4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅
Putting everything together,
4321₅ + 343₅ = 10214₅
HELP ASAP!
The girls soccer team is trying to raise atleast $600 to pay for new uniforms. They have already raised $240 and are holding a car wash to raise the rest of the money. If they charge $8 per car at the car wash, how many cars will it take to raise the rest of the money for the new uniforms? Choose the inequality that beat represents the real-world situation.
Answers
Answer:
It will take at least 45 cars
Step-by-step explanation:
so to start subtract 240 from 600
you get 360 then divide 8
this leaves you with 45
simplify expression
3+2+y+y
Answers
Answer:
2y + 5
Step-by-step explanation:
I hope this helps!
Hey there!
3 + 2 + y + y
= 3 + 2 + 1y + 1y
COMBINE the LIKE TERMS
= (3 + 2) + (1y + 1y)
= 5 + 2y
= 2y + 5
Therefore, your answer is: 2y + 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Make
q the subject of p=6q +7
Answers
To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
How to write an equation in the subject of a variable?To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.
The expression given in the problem is,
[tex]p=6q +7[/tex]
This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,
[tex]p+7=6q +7-7\\p+7=6q[/tex]
Divide both side of equation with number 6.
[tex]\dfrac{p+7}{6}=q[/tex]
Rewrite the equation as,
[tex]q=\dfrac{p+7}{6}[/tex]
Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.
Learn more about the unknown variable here;
https://brainly.com/question/1235185
#SPJ1
hey i am just clueless
Answers
Answer:
x = 14
y = 6
Step-by-step explanation:
*Property*
In a parallelogram:
Opposite sides are equal.
Since, the given figure is a parallelogram we can apply this property and equate:
1) 2y + 1 = 13 2) x = y + 81) 2y + 1 = 13
subtracting 1 from both sides:
=> 2y + 1 - 1 = 13 - 1
=> 2y = 12
dividing both sides by 2:
=> 2y/ 2 = 12/ 2
On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator
On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:
=> y = 62) x = y + 8
We've got the value of y from equation 1).
Substituting it here:
=> x = 6 + 8
=> x = 14Answer:
Hence, we got the values of x and y as:
[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]
I really need the answer to this
Answers
=============================================
Explanation:
Let point N be at the intersection of the horizontal line and segment JM.
We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.
In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.
So,
JM = JN + NM
JM = NM + NM
JM = 2*NM
JM = 2*7.1
JM = 14.2
Answer:
JM = 14.2
Step-by-step explanation:
Given JK = MK then Δ JKM is isosceles.
The line through K is a perpendicular bisector of JM , so
JM = 2 × 7.1 = 14.2
Concern airplane flying at a cruising speed of 1/2 km in 1/24 of a minute.Compute the unit rate of the airplanes cruising speed in kilometers per minute
Answers
Answer:
12 km/minute
Step-by-step explanation:
In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.
Answer:
12 km per min
Step-by-step explanation:
Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?
Answers
Answer: x = 3 and y = 5
Step-by-step explanation:
i need the answr for 3+x=10 please explain as well
Answers
Answer:
7
Step-by-step explanation:
basically just subtract 10-3=7 then to check 3+7=10
Answer:
x = 7
Step-by-step explanation:
3 + x = 10
-3 -3
x = 7
you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.
The cost was 1,784 . they also had to pay 7.25% sales tax. What was the total amount paid
Answers
Answer:
1913.34
Step-by-step explanation:
1784x0.0725=129.34
129.24+1784.00=1913.34
1–5 change the following improper fractions to mixed number.
6–10 change the following mixed numbers to improper fraction.
Answers
Q5 is 3 1 out of 3 or 3 1/3 or 3.33333333
Q6 is 27/12 or 27 out of 12
Q10 is 109/10 or 109 out of 10
(test question) If you're good at geometry please help me
Answers
Step-by-step explanation:
this is a rectangle. so, all things are symmetric.
EI = IG = FI = IH
IGF = IFG = IEH = IHE
therefore, since EI = FI
2x + 8 = 6x - 20
28 = 4x
x = 7
now,
EG = EI + IG = 2×EI = 2×(2×7 + 8) = 2×22 = 44
IFE is a complementary angle to IFG (together they have 90°).
and because IFG = IGF = 30°
IFE = 90 - 30 = 60°
What is the estimated difference between 7 6/11−5 13/15?
NO LINK OR FILESSSS PLZZZZZZZZZZZZ
Answers
Answer:
1 1/2
Step-by-step explanation:
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
Find the output for f(x) = -3 |2x - 9| + 4.
When x = -5
SHOW EVERY STEP!
Answers
Hey there!
f(x) = -3|2x - 9| + 4
y = -3|2x - 9| + 4
y = -3|2(-5) - 9| + 4
y = -3|-10 - 9| + 4
y = -3|19| + 4
y = -57 + 4
y = -53
Therefore, your answer should be: f(x) = -53
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
3xy divide 18 ,
x=
Y=
Answers
1
——xy
6
evaluate –3(–5)(–1)(3)
Answers
Answer:
-45
Step-by-step explanation:
I think one way you could do it is:
1. –3(–5) = 15
2. (–1)(3) = -3
3. (15) (-3) = -45
I used a calculator pls let me know if im incorrect
PLEASE PLEASE HELP
ME!!!
Answers
ABCD is a square of side 4cm. In each of the following loci, the point p moves only inside the square. Sketch the locus in each case. AP=BP
Answers
The sketch of the locus AP = BP shows an equal distance between AP and BP which can be seen in the image attached below.
A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.
A locus is a point that satisfies a constraint on the square of the distances between two lines.
The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.
Learn more about plane figures here:
https://brainly.com/question/20475473