Answers
Thisbis a general geometric progression
first term=a=9common ratio=2/3=rSo iterative formula
ar^{n-1}9(2/3)^{n-1}Answer:
[tex]a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
Given:
[tex]\begin{cases}a_1=9\\a_n=\frac{2}{3}(a_n-1)\end{cases}[/tex]
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
a is the first termr is the common ratioTherefore:
[tex]a = a_1 = 9[/tex][tex]r = \dfrac{2}{3}[/tex]Substitute the given values into the general formula:
[tex]\implies a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}[/tex]
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Related Questions
What is two and a half mean
Answers
Answer:
If you mean fraction wise then it is 2 1/2
Step-by-step explanation:
2 is the whole number and 1/2 is half of 1.
2. What is the interpretation of the constant of proportionality?
0.001 kilometers per meter
0.001 meter per kilometer
Pls
Answers
Answer: It would be the first one, 0.001 kilometers per meter.
Step-by-step explanation: is 1,000 meters is equal to 1 kilometer, you would have to move the decimal on each until one is at one and the other is at 0.001. This would leave you with the first answer. Hope this helps!
if 7p-4=8 what is the value of P? Can someone give me example so I can answer my question. Thanks!
Answers
Answer:
p=[tex]1\frac{5}{7}[/tex]
Step-by-step explanation:
7p-4=8
7p=8+4
=12
p=12÷7
=[tex]\frac{12}{7}[/tex]
=[tex]1\frac{5}{7}[/tex]
Solving Systems Using Inverses
Solve the system:
4x - 5y + z = 9
6X + 8y - Z=27
3x – 2y + 5z = 40
([?], [ ], [ ])
Answers
Answer:
12x the second -12x -16
Step-by-step explanation:
Solving systems of equations with 3 variables is very similar
Answer:
[3,2,7]
Step-by-step explanation:
look at this diagram
If
QS
and
TV
are parallel lines and mSRP = 128°, what is mVUR?
Answers
The expression 3a + 2.4 is equal to _ for a=1.8
Answers
Set and theory explain more better
Answers
Answer: Varies
Step-by-step explanation: "Set" relates to a group of numbers and "theory" connects to how the numbers work.
What is the value of x? 10 points
6
12
6√2
3
Answers
Answer:
12
Step-by-step explanation:
the triangle is isosceles- right angled triangle
(6sqrt2)^2+(6sqrt2)^2=x^2
therefore x=12
10:8 as a equivalent ratio
Answers
3. Mikayla was making origami frogs. If she made 8
frogs a day, how many days would it take her to
make 200?
Answers
Answer:
25 days
Step-by-step explanation:
200/8 = 25
25 days
Answer:
25 days
Step-by-step explanation:
You would take 200 ÷ 8 to get the amount of days it took her to make the frogs, which is 25 days because 8 × 25 = 200.
ASAP ASAP ASAP PLS HELP
Answers
B is 5.7 and C is 5.8
Duidueydheueudhrueyeue
Answers
∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°
Step-by-step explanation:
Suppose m∠8 = 59° (given angle)
Since m∠8 = 59°, m∠5 = 59° (Corresponding Angles)
Again, m∠8 = 59° so therefore, m∠2 = 59° (Alternative interior Angles)
Next since m∠2 = 59°, m∠7 is also 59° (Corresponding Angles)
Then since m∠8 = 59°, m∠7 = 59° (Alternative Exterior Angles)
Finally since m∠8 = 59° and m∠2 = 59°, therefore, m∠2 = m∠5 (Alternative Interior Angles)
…
Thus, ∠1 = 121°, ∠2 = 59°, ∠3 = 121°, ∠4 = 121°, ∠5 = 59°, ∠6 = 121° and m∠7 = 59°
What is congruent to what
Answers
∆ FIG ≈ to ∆ IGH
- BRAINLIEST answerer
The segments JF and JI are congruent to each other because straight lines mean congruent lines. The arrow shape line means parallel.
(Can I get the brainliest)
are the two sides of congress the Senate and the Supreme Court?
Answers
Answer:
Step-by-step explanation:
Legislative—Makes laws (Congress, comprised of the House of Representatives and Senate) Executive—Carries out laws (president, vice president, Cabinet, most federal agencies) Judicial—Evaluates laws (Supreme Court and other courts)
11y+7+5(y-3) as binomial forms
Answers
Answer:
16y − 8 is your answer!
Step-by-step explanation:
Simplify the expression!
help me please. In a box there are 6 orange balls, 4 green balls and blue "x" balls. If the probability of drawing one blue ball is 1/3, what is the probability of drawing two blue bags?
Answers
Which of the following is a solution of 4 Vx-3 = 16?
Answers
Answer:
19/4
Step-by-step explanation:
4x - 3 = 16
4x - 3 + 3 = 16 + 3
Simplify:
4x - 3 + 3 = 16 + 3
4X = 16 + 3
4x = 16 + 3
4X = 19
Then divide:
4x = 19
4X/4 = 19/4
Simplify:
x = 19/4.
Which number line represents all of the values of x for the equation x2 = 16?
Answers
Step-by-step explanation:
x² = 16
x = ±√16
x = ±4
x = -4 or 4
How can you multiply fractions and mixed numbers?
Answers
Step-by-step explanation:
In order to multiply fractions and mixed numbers, you must first transform the mixed number into a single fraction (will most likely turn into an improper fraction). An improper fraction is a fraction where the numerator is greater than the denominator.
Example:Suppose that you were given the following fractions to multiply:
[tex]\large\mathsf{\frac{5}{7}\:\times\:2\frac{3}{5}}[/tex]
The first step is to transform the mixed fraction, [tex]\large\mathsf{2\:\frac{3}{5}}[/tex], into a single fraction.
You will have to multiply the denominator with the whole number, then add the numerator. The denominator does not change when you do this transformation processs.
The mixed fraction will now turn into the following improper fraction:
[tex]\large\mathsf{2\:\frac{3}{5}}[/tex] ⇒ [tex]\large\mathsf{\frac{13}{5}}[/tex]
Now, you will be able to multiply [tex]\large\mathsf{\frac{5}{7}}[/tex] and [tex]\large\mathsf{\frac{13}{5}}[/tex] together by multiplying the numerator, 5 and 13 and the denominator, 7 and 5.
[tex]\large\mathsf{\frac{5}{7}\:\times\:\frac{13}{5}\:=\:\frac{5\:\times\:13}{7\:\times\:5}\:=\:\frac{65}{35}}[/tex]
Since the product of the two fractions is an improper fraction, it is often customary to express the fraction into its lowest terms. Given the improper fraction, [tex]\large\mathsf{\frac{65}{35}}[/tex], the greatest common factor between 65 and 35 is 5.
Hence, we could simply divide the numerator and the denominator by [tex]\large\mathsf{\frac{5}{5}}[/tex] to simplify the fraction.
[tex]\large\mathsf{\frac{65}{35}\:\div\:\frac{5}{5}\:=\:\frac{13}{7}}[/tex]
Therefore, the final answer is: [tex]\large\mathsf{\frac{13}{7}}[/tex] . To transform this improper fraction into a mixed number, simply divide its numerator by the denominator, thereby resulting into the following mixed number: [tex]\large\mathsf{1\:\frac{6}{7}}[/tex].
x = 4
X
x = -6
determine if it’s parallel, perpendicular, or neither
Answers
Answer: parallel
Step-by-step explanation:
Answer:
I am not sure if I am translating this equation correctly but I think it is parallel.
Step-by-step explanation:
If it is just x=4 and x=-6 it is parallel as you can see from the picture below
Hope this helps!
Mark needs to cut a board to use for a project they board is 12 ft long he first has to cut off 2 1/4 feet from one end of the board he then cuts the remaining section of the board into four equal pieces which equation can be used to determine the length of each equal piece 2 1/4x+ 4 = 12
2 1/4x - 4 = 12, 4x + 2 1/4 = 12, 4x - 2 1/4= 12 what's the answer?
Answers
Answer:
a
Step-by-step explanation:
The equation that can be used to determine the length of each equal piece is [tex]4x + 2\dfrac{1}{4} = 12[/tex] and this can be determined by forming the linear equation.
Given :
Mark needs to cut a board to use for a project.The board is 12 ft long.He first has to cut off 2 1/4 feet from one end of the board.He then cuts the remaining section of the board into four equal pieces.The following steps can be used in order to determine the equation that can be used to determine the length of each equal piece:
Step 1 - The linear equation can be formed in order to determine the equation that can be used to determine the length of each equal piece.
Step 2 - Let the length of one piece be 'x'.
Step 3 - So, the linear equation that represents the total length of the board is:
[tex]4x + 2\dfrac{1}{4} = 12[/tex]
Therefore, the correct option is C).
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Find the angle between u and v, rounded to the nearest tenth degree.
u = (4, 0, 2), v = (6, −3, 0)
Answers
Answer:
The angle between vectors u and v is [tex]\theta\approx36.9^\circ[/tex]
Step-by-step explanation:
Recall:
Angle between vectors u and v --> [tex]\theta=cos^{-1}(\frac{u\bullet v}{||u||*||v||})[/tex]Dot product (three-dimensional) --> [tex]u\bullet v=u_1v_1+u_2v_2+u_3v_3[/tex]Magnitude (three-dimensional, vector u) --> [tex]||u||=\sqrt{u_1^2+u_2^2+u_3^2}[/tex]Magnitude (three-dimensional, vector v) --> [tex]||v||=\sqrt{v_1^2+v_2^2+v_3^2}[/tex]Calculation:
Dot product --> [tex]u\bullet v=(4)(6)+(0)(-3)+(2)(0)=24[/tex]Magnitude (u) --> [tex]||u||=\sqrt{4^2+0^2+2^2}=\sqrt{16+0+4}=\sqrt{20}=2\sqrt{5}[/tex]Magnitude (v) --> [tex]||v||=\sqrt{6^2+(-3)^2+0^2}=\sqrt{36+9+0}=\sqrt{45}=3\sqrt{5}[/tex]Plug dot product and magnitudes into formula:
[tex]\theta=cos^{-1}(\frac{u\bullet v}{||u||*||v||})=cos^{-1}(\frac{24}{2\sqrt{5}*3\sqrt{5}})=cos^{-1}(\frac{24}{6*5})=cos^{-1}(\frac{24}{30})\approx36.9^{\circ}[/tex]
Conclusion:
The angle between vectors u and v is [tex]\theta\approx36.9^\circ[/tex]
I would appreciate some help with this , NO LINKS also plz no guessing ,thanks
Answers
Step-by-step explanation:
Roots : x = -1 and x = 4
g(x) = ( x+1)(x-4)Roots x = -1 & x = -4
k(x) = (x+1)(x+4)h(x) = (-3-3x) (3x+12)Neither
m(x) = (3-3x)(3x-12) f(x) = (x-1)(x-4)f(x) = (-1-x)(2x-8)What is the additive inverse of 16 5/7?
Answers
Answer:
The additive inverse of 16 5/7 is -16 5/7
Step-by-step explanation:
Basically, additive inverse is changing of signs (+ -)
Hoped this helped.
Evaluate.
8 8/7 + (7 5/6 - 2 1/3)
Enter your answer as a mixed number in simplest form by filling in the boxes.
(Giving away brainliest, 5 stars and a thanks for whoever answers first with the correct answer)
Answers
Evaluate:- 8 8/7 + (7 5/6 - 2 1/3)
⟼ (63+7)/7 + [(42+5)/6 - (6+1)/3
⟼70/7 + [47/7 - 7/3]
⟼ 70/7 + [(141- 49)/21]
⟼ 70/7 + [92/21]
⟼ 70/7 + 92/21
Now, take the LCM of 7 and 21 is 21.
so,
⟼ (210 + 92)/21
⟼ 302/21 or 14(8/21) Ans.
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I need help ASAP
Mrs. Stevens deposited $4,500 in a college savings account for her grandson that earns an annual simple interest rate of 6.5%. How much interest will be paid in 10 years?
Answers
The interest that will be paid in 10 years is = $2,925
The total amount of money deposited as savings (p)
= $4,500,
The annual simple interest rate (r) = 6.5%.
The time to collect the interest expected (t) = 10 years.
There the simple interest generated =
[tex] \frac{p \times t \times r}{100} [/tex]
[tex] \frac{4500 \times 10 \times 6.5}{100} [/tex]
[tex] \frac{292500}{100} [/tex]
Therefore simple interest = $2,925
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What is f(g(-1)) for f(x) = 2x - 3 and g(x) = x2 + 11?
A) 12
B) 21
0.32
D) 36
E) 45
Answers
Answer:
I think it is c I hop I'm right
PLS HELP ILL GIVE BRAINLIEST Sandra and Jenny spend a certain amount of money from their money box each month to buy plants.
The table shows the relationship between the amount of money (y) remaining in Sandra's money box and the number of months (x).
The equation shows the relationship between the amount of money, y, remaining in Jenny's money box and the number of months, x. Which function shows a greater rate of change?
Answers
Answer:
Function 1 has the greater rate of change.
Step-by-step explanation:
Function 1 has a rate of change of -5
Function 2 has a rate of change of -8
I really hope this helps!!
A recipe calls for 2/3 cup of milk. How much milk should be used to make 1/6 of the recipe?
Answers
________________
The answer is 1/9
_________________
Find the distance between the following points: (0,0,0) and (-2,6,3)
1. √7
2. √41
3. 7
4. 36
PLEASE HELP ASAP
Answers
9514 1404 393
Answer:
3. 7
Step-by-step explanation:
The distance formula applies in 3 dimensions as well as 2.
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
d = √((-2)² +6² +3²) = √(4 +36 +9) = √49
d = 7
The distance between the two points is 7 units.
