Generate the next three terms of each geometric sequence defined below. (in picture)
Answers
Answer:
a) -9, -10, -11
b)24, 36, 54
c)-10, 20, -40
Step-by-step explanation:
-8 - 1 = -9
-9 - 1 = -10
-10 - 1 = -11
a2 = 16 * 3/2 = 24
a3 = 24 * 3/2 = 36
a4 = 36 * 3/2 = 54
f(2) = 5 * -2 = -10
f(3) = -10 * -2 = 20
f(4) = 20 * -2 = -40
The next three terms of each geometric sequence are;
a) -9, -10, -11
b)24, 36, 54
c)-10, 20, -40
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
a) The common difference is;
-8 - 1 = -9
b) The common difference is;
-9 - 1 = -10
c) The common difference is;
-10 - 1 = -11
a2 = 16 * 3/2 = 24
a3 = 24 * 3/2 = 36
a4 = 36 * 3/2 = 54
Therefore, the next terms are;
f(2) = 5 * -2 = -10
f(3) = -10 * -2 = 20
f(4) = 20 * -2 = -40
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Related Questions
One fish tank is being filled while another is being drained. The first fish tank has 175 liters of water and more water is being added at a rate of 7 liters per minute. The second fish tank has 550 liters of water and is being drained at 8 liters per minute. Which equation can be used to calculate how many minutes it will it take for the two tanks to have the same amount of water?
A: 175 + 7x - 550 - 8x
B: 175 + 7x - 550 + 8x
C: 8x - 7x = 550 + 175
D: 8x - 7x = 550 - 175
Please Help!!!
Answers
In this equation, it will require 175 + 7x - 550 - 8x water to fill both tanks to the same level.
Explain about the equation?A formula that describes how two expressions on each side of a sign are connected. It typically has an equal sign and one variable. akin to this 2. 2x - 4 = 2. The variable x is present in the preceding example.
Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" separating them.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
You start first by the number of minutes that have passed.
Regardless of how many minutes have passed, the second had loses.
=175 + 7 liters
=550 liters loses 8 times
= 175 + 7x - 550 - 8x
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What is the radius of a hemisphere with a volume of 324\text{ ft}^3,324 ft 3 , to the nearest tenth of a foot?
Answers
Answer:
5.4 ft
Step-by-step explanation:
Given that the volume of the hemisphere sphere, [tex]V= 324 ft^3[/tex].
Let r be the radius of the hemisphere.
As the volume of the hemisphere, [tex]V=\frac {2}{3}\pi r^3[/tex]
By using the given value, we have
[tex]\frac {2}{3}\pi r^3=324[/tex]
[tex]\Rightarrow r^3=\frac{324\times 3}{2\pi} \\\\\Rightarrow r^3=\frac{324\times 3}{2\times3.14} \\\\\Rightarrow r^3=154.78 \\\\\Rightarrow r=\left( 154.78 \right)^{1/3} \\\\[/tex]
[tex]\Rightarrow r=5.4[/tex] ft
Hence, the radius of the hemisphere is 5.4 ft.
What is the area of the bedroom ?
Answers
Answer:
what bedroom...............?
Answer:
[tex]95ft^2[/tex]
Step-by-step explanation:
We need to multiply 10 feet by 9 feet 6 inches.
6 inches is half a foot so technically 9 feet 6 inches is 9.5 feet.
Multiply 10 by 9.5.
(10)(9.5) = 95
Therefore the answer is 95ft squared.
Hope this helps!!
- Kay :)
Which step is the first incorrect step in the solution shown below? Solve: 5(x + 2) = 6x + 12 Step 1: 5x + 2 = 6x + 12 Step 2: -x + 2 = 12 Step 3: -X = 10 Step 4: x = -10 O A. Step 1 OB. Step 2 C. Step 3 D. Step 4
Answers
Answer:
Step 1
Step-by-step explanation:
Correct solution step-by-step:
1. 5(x + 2) = 6x + 12
2. 5x + 10 = 6x + 12
3. 5x - 6x = 12 - 10
4. -x = 2
5. x = -2
Somebody can help me to solve this thing please people i need help !!
Answers
The solution to the given inequality is: I only.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).When x = -10, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(-10)
-7 ≥ 2 - 50
-7 ≥ -48 (True).
When x = 3, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(3)
-7 ≥ 2 + 15
-7 ≥ 17 (False).
When x = -1, a solution to the inequality is given by:
-7 ≥ 2 + 5x
-7 ≥ 2 + 5(-1)
-7 ≥ 2 - 5
-7 ≥ -3 (False).
Therefore, the solution to the given inequality is "I only."
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10th grade geometry Help!!!
Answers
Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
FOR VERIFICATION ONLY:(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
if f is a linear function, f(k)=16 and f(-k)= -4 then what is the value of f(0)?
Answers
f(0) = ( f(k) +f(-k) ) / 2
f(0) = (16 - 4) / 2
f(0) = 12 / 2
f(0) = 6 → ANSWER
*Remember that f(0) = m(0) + n = n
If we have f(x) = mx + n, then:
f(k)= mk + n and f(-k)= -mk + n
If we add them:
f(k) + f(-k)
= mk + n -mk + n
= 2n
= 2f(0)
So we conclude that:
f(0) = [f(k) + f(-k)] / 2
Clara needs 48 ounces of flour to bake a cake. If 1 cup is equal to 8 ounces, how many cups of flour should Clara use? (1 point)
a
2 cups
b
3 cups
c
4 cups
d
6 cups
Answers
SOMEONE HELP ASAP!!!!!
Answers
Answer:
A. y=[tex]\frac{3}{2}[/tex]x-3
B.y=[tex]\frac{-3}{4}[/tex]x-3
Step-by-step explanation:
Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=[tex]\frac{3}{2}[/tex]x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=[tex]\frac{-3}{4}[/tex]x-3
On a piece of paper, graph y< x + 1. Then determine which answer matches
the graph you drew.
Answers
Answer:
Step-by-step explanation:
Mom is 8 years older than 4 times Sarah’s age. The sum of their ages is less than 83. What is Sarah’s oldest possible age?
Identify:
Strategize:
Set up:
Solve:
Check:
Answers
Jing-mei starts out being excited and confident about her mother's plans for her. She believes that if she and her mother found the right kind of prodigy for Jing-mei, then Jing-mei would one day become a perfect child. As she begins losing hope, however, Jing-mei's character starts to change. Tired of constantly failing her mother's high expectations, she decides to set her own expectations, and she becomes willful, disobedient, and vocal. Ironically, her motivation throughout the story stays the same; she wants her mother to love and accept her. She knows she'll never be the type of girl her mother wants, so she resists her mother's wishes. Yet by doing the opposite of what her mother wants, Jing-mei still cannot feel that acceptance that she really wants
help pls thanks huys
Answers
Answer:
12
Step-by-step explanation:
Let the unknown number be x.
8 = -4(1) + x
8 = -4 + x
x - 4 = 8
x = 8 + 4
x = 12
Answer:
[tex]a_{n}[/tex] = - 4n + 12
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then
[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12
Help Please!
Which relationship between x and y in the equation shows a proportional relationship?
a) y = x – 2
b) y = 3x
c) y = 5x + 3
d) y = 5 (x + 3)
Answers
Answer:
y=3x
Step-by-step explanation:
I took the test
If two angles of a triangle each measure 50 degrees, then what is the measure of the third angle of the triangle? Complete the statement by providing the correct answer in number form.
The third angle of the triangle would be
Answers
Answer: 80
Step-by-step explanation:
Triangles equal 180 therefore 50+50=100 and 180-80=80
Answer:
The answer would be 80*
Step-by-step explanation:
Because every triangle needs to add up to 180* and so if you add 50 and 50 you get 100. Minus that from 180 and you get 80
⠀⠀⠀⠀⠀
(X+5)²+3x+15
This is the equation
Answers
The factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).
What do we mean by equations?An equation is made up of expressions that have the same value.A formula is a two- or more-variable equation that represents a relationship between the variables. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.The equation is: (X+5)²+3x+15
Then,(X+5)²+3x+15
x² + 25 + 3x + 15x² + 3x + 40x² + x ( + ) + 40x² + x ( 20 + 20 ) + 40x² + 20x + 20x + 40x ( x + 20 ) + 20 ( x + 2 )Factors are: x(x+20)(x+2)
Therefore, the factors of the given equation (X+5)²+3x+15 are x(x+20)(x+2).
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-5 less than or equal to negative z over 3
=2
Answers
Solve for b: 4b-11=1-2(3-b)
A) 0
B) 14
C) 3
D) -16
Answers
Answer:
4b -11 = 1 -2(3-b) (use the distributive property on -2(3-b))
4b -11 = 1 -6 +2b ( combine like terms on the right side of the = sign)
4b -11 = -5 +2b (subtract 2b from both sides)
2b -11 = -5 (add 11 to both sides)
2b = 6 (divide each side by 2)
b= 3 ( so, your answer is C)
Answer:
C
Step-by-step explanation:
4b-11=1-2(3-b)
4b-11=1-6+2b
4b-11=-5+2b
4b=6+2b
2b=6
b=3
Your answer is C
Find the area of the polygon with the given vertices.
NC (– 2, 1), P(3, 1), Q(3,-1), R( – 2, -1)
what is the area in
square units.
Answers
Answer:
A= w . h = 10
Step-by-step explanation:
Look at attached graphic.
It's a rectangle.
width (in x axe) = length between 3 to -2 = 5
height (in y axe) = length between 1 to -1 = 2
how many solutions does the equation 3(x+7)=20+3x+1 have?
a. one solution
b. no solution
c. infinitely many solutions
solve 3(x+7)=20+3x+1
explain how you know the number of solutions
Answers
Can someone Please help me get the answer for what is ⅘ of 12?
Answers
Answer:
9.6
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (5 points)
A= {(2. -2), (5, -5), (-2, 2). (-5, 5))
B= {(4, 2). (4, -2). (9, 3). (9, -3)}
O1) Only A
O2) Only B
O3) Both A and B
O4) Neither A nor B
Answers
Answer:
The answer is choices Only A
Step-by-step explanation:
hope this helps
I NEED HELP ASAP IT IS DUE AT MIDNIGHT PLEASEEEEEE!!!!
Answers
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
A = 7.4 - 9.6 = -2.2
B = -2.2 + 0.5 = -1.7
C = -1.1(-1.7) = 1.87
D = 18.1 + 1.87 = 19.97
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
how many groups of 7/4 are in 1
Answers
Answer:28
Step-by-step explanation:
y = 2x + 1
x + 3y = 17
Answers
x = 2
y = 5
Answer: x=2 and y=5
Step-by-step explanation:
Substitute the Y= equation for the Y in the second equation.
ie: x+3(2x+1)=17
Now all of your variables are the same and you can solve for X. You should get X=2.
Then plug 2 in for X in the first equation
ie: y=2(2)+1
Then solve for Y. You should get 5
The cost of toilet paper increased by 50% after the "Great Toilet Paper Shortage" of 2020.
If toilet paper cost $6.50 before the shortage, how much did it cost after the shortage?
Answers
Answer:
I think 9.25
Step-by-step explanation:
Answer:
9 dollar
Step-by-step explanation:
it is now 9 dollar because the increase was 3.00
A rock is thrown from the top of a ladder. The function
h(t) = -16t² + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
1. What is the initial height that the rock was thrown from?
Answers
Answer:
h'(t)=88
Step-by-step explanation:
h'(t)=d/dt (-16t x 2 + 120t + 10)
h'(t)=d/dt (-32t + 120t + 10)
h'(t)=d/dt (88t + 10)
h'(t)=d/dt (88t) + d/dt (10)
h'(t)=88 + 0
3. Timber Hill Tennis Club sells monthly
memberships for $72 and tennis rackets for
$150 each. The tennis club has a sales goal
of $5400 per month.
a. Write a linear equation that
describes the problem
Answers
The linear equation that describes the problem 72x + 150y = 5400.
What is a linear equation in mathematics?A linear equation seems to be an algebraic equation of the form y=mx+b, including only a constant and an initial (linear) component, where m is the slope, as well as b,as well as b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where both x and y are the variables.
Why is it termed a linear equation?The graph of a linear equation is a straight line. Linear Equation Definition: A linear equation seems to be an algebraic equation in which each term has an exponent of one and when graphed, it always results in some kind of a straight line. it is called a 'linear equation.'
According to the given data:Tennis Club sells monthly memberships for $72.
Tennis rackets for $150.
The tennis club sales goal of $5400 per month.
The linear equation.
72x + 150y = 5400.
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A line goes through the points (-4,6) and (-2,3). A line perpendicular to
that line is:
Answers
Answer: A line with a slope of 2
Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)
i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.
7. Hannah’s cell phone plan has a start up fee of $200 and there is a charge of $50 per month.
Write an equation to show the total cost of her cell phone plan, where x is the number of months and y is the total cost (monthly charge and total cost)
Answers
Answer:
y=200+50x
Step-by-step explanation:
Jose works as a salesperson at an electronics store and sells phones and phone accessories. Jose earns a $9 commission for every phone he sells and a 4$ commission for every accessory he sells. On a given day, Jose made a total of $253 in commission and sold 8 more accessories than phone sold and the number of accessories sold. Define the variables that you use to write the system.
Answers
Answer:
The variables would be 9p and 4c
Step-by-step explanation:
Jose gets $9 for every Phone or 9p and $4 for every accessory or 4a