Answer:
The sequence is 2, 4, 8, 16, 32
The next answer is 2
Step-by-step explanation:
The missing terms of the required sequence are 8, 16 and 32 respectively.
What is a geometric sequence?In a geometric sequence, the ratio of two consecutive terms are always equal.
The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .
The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)
The given sequence is 1, 3, 7, 15, 31, 63...
Then, the sequence formed by subtracting the consecutive terms are given as,
3 - 1, 7 - 3, 15 - 7, 31 - 15, 63 - 31 .....
Which can be rewritten as,
2, 4, 8, 16, 32......
It is a geometric sequence as ratio of the consecutive terms are equal,
4/2 = 8/4 = 16/8
Hence, the required sequence is a geometric sequence found as 2, 4, 8, 16, 32......
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Write the equation, in standard form of the quadratic relation
Zeros of 5 and 6 and a y-intercept of 30
Answer:
[tex]f(x)=x^2-11x+30[/tex]
Step-by-step explanation:
The factored form of a quadratic is given by:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the zeros, and a is the leading coefficient.
The quadratic relation has zeros of 5 and 6, and it has a y-intercept of 30.
Since the zeros are 5 and 6, p and q are 5 and 6. Thus:
[tex]f(x)=a(x-5)(x-6)[/tex]
The y-intercept is 30. In other words, when x = 0, f(x) = 30:
[tex]30=a(0-5)(0-6)[/tex]
Solve for a:
[tex]30=a(-5)(-6)\Rightarrow 30=30a\Rightarrow a=1[/tex]
Therefore, our quadratic in factored form is:
[tex]f(x)=(x-5)(x-6)[/tex]
To find the standard form, expand:
[tex]\begin{aligned} f(x)&=(x-5)(x-6)\\&= (x-5)x+(x-5)(-6)\\&=(x^2-5x)+(-6x+30)\\&=x^2-11x+30\end{aligned}[/tex]
3(6-14)
Evaluate
0 -15
o 6
0 -1
06
Answer:
It's -15 hope this helped!!
Hi! Can someone help me on this problem?
Answer:
64 or 4x4x4
Step-by-step explanation:
4x4x4=64
plz mark brainliest
Answer:
it is B and D
Step-by-step explanation:
someone deleted my answer and you are just an a.ss
feet = 5/6 in a mile
Please give me a reasonable explanation, not just the answer. Thank you
One mile = 5,280 feet.
Understand?
I am assuming that you want to know what is 5/6 of a mile.
(5/6)(5,280) = 5(880) = 4,400 feet.
If by IN A MILE you mean division, then we do the following:
(5,280)/(5/6) = (5,280 • 6)/5 = 6,336.
Is either one or the other because your question is honestly not too clearly stated..
Find the sum.
5y+2/xy^2 + 2x-4/4xy
[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]
or just (xy+8y+4)/2xy^2 if u can't see the equation
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
Simplify the expression, then we have
⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]
⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]
⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]
⇒ (20y + 8 + 2xy - 4y) / (4xy²)
⇒ (16y + 2xy + 8) / (4xy²)
⇒ (8y + xy + 4) / (2xy²)
The value of the expression using sum will be (8y + xy + 4) / (2xy²).
More about the Algebra link is given below.
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What is the average of 89, 91, and 84?
Answer:
88
Step-by-step explanation:
Use the following formula
Average=Sum/Count
89+91+84=264
264/3
88
Students at Salt Lake Community College pay 1.667 * 104 dollars for tuition.Students at George Washington University pay 5.5011 * 104 dollars. How many times greater is the tuition at George Washington?
Answer:
its rigged 1234
Step-by-step explanation:
(2)23x235
the price of a pair of earrings is $22 but priya buys them on sale for $13.20.
On a package of rice the directions say that the ratio of cups of water to cups of uncooked rice should be 5:3 Susan is confused about what the ratio is for cups of water:total cups of ingredients Determine what the correct ratio is for the cups of water total cups of ingredients indicated in the directions.Plz help me I need this!
Answer:
5:8
Step-by-step explanation:
water - 5 points
Rice - 3 points
total (rice + water) = 8 points.
Water:Total
5:8
3x + 1 = 2x + 5
help .....
Answer:
x = 4
Step-by-step explanation:
Combine like terms.
3x- 2x = 1x
New Equation: 1x + 1 = 5
Subtract 1 from 5.
New Equation: 1x = 4
Divide 1 from both sides. 1x / 1 cancels out and 4 / 1 = 4.
Find 2.64 / 0.6 step by step
Answer: 4.6
Step-by-step explanation:
I’m not sure how to do this
Pls I need to know now
Which expression in equivalent to 48x-6+3y/3
Answer:
48x-6+y
Step-by-step explanation:
The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.
Calculation of an expression:Since the equation is [tex]48x-6+3y\div 3[/tex]
We have to divide by whole equation by 3
After dividing it, the expression should be like 16x - 2 + y.
Hence, The expression that should be equivalent to the given expression is to be considered as the 16x - 2 + y.
Learn more about an expression here: https://brainly.com/question/14946461
Combine the like terms to create an equivalent expression: − 3 k − ( − 8 ) + 2
Answer:
-3k + 10
Step-by-step explanation:
-3k-(-8)+2 = -3k + 8 + 2 = -3k +10
Answer:
-3k + 10
Step-by-step explanation:
-3k + 8 + 2 =
-3k + 10
Hope that helps!
ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14
Answer:
x=4
y=2
Step-by-step explanation:
x+8y=20
4x−y=14
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
x+8y=20,4x−y=14
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
x+8y=20
Subtract 8y from both sides of the equation.
x=−8y+20
Substitute −8y+20 for x in the other equation, 4x−y=14.
4(−8y+20)−y=14
Multiply 4 times −8y+20.
−32y+80−y=14
Add −32y to −y.
−33y+80=14
Subtract 80 from both sides of the equation.
−33y=−66
Divide both sides by −33.
y=2
Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.
x=−8×2+20
Multiply −8 times 2.
x=−16+20
Add 20 to −16.
x=4
The system is now solved.
x=4,y=2
the absolute value |x-3|<1
Answer:
in kiloliters its 0.0035
4p = 14.4
What is the value of p?
A. 3.6
B 3.8
C.10.4
D.57.6
Answer:
A. p = 3.6
Step-by-step explanation:
4p = 14.4
To get p by itself we would divide by 4 on each side so
(4p / 4) = (14.4 / 4)
p = (14.4 / 4)
p = 3.6
So answer is A
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
all of the questions
Division sum:
12 ➗ 2 =
100 ➗ 1 =
Answer:
12÷2=6
100÷1=100
Step-by-step explanation:
Answer: 6 and 1
Answer:
6
100
Step-by-step explanation:
in division:
12÷2=6
100÷1=100
for the arthritic sequence 5,9,13,17,21,... how many terms would you need to get to 129
9514 1404 393
Answer:
32
Step-by-step explanation:
The first term is 5 and the common difference is 9-5=4, so the n-th term is ...
an = a1 +d(n -1)
an = 5 +4(n -1) = 4n +1
Then the term number for the term 129 is ...
129 = 4n +1 . . . . . put the given value in the formula
128 = 4n . . . . . . . subtract 1
32 = n . . . . . . . . . .divide by 4
The 32nd term is 129.
Solve please I’m trying to find out if it’s 1/20 or 5/4
Answer:
I’m pretty sure it’s 5/4
Step-by-step explanation:
Someone please help me
Answer:
1 read any graph left to right if up positive if down negative
Answer: 1
Step-by-step explanation:
we choice two points to find the slopes.
(0,-5) and (2,-3)
[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]
A swimming pool is treated periodically to control harmful bacteria growth.
The concentration of bacterial per cm³ after t days is given by
C(t)
[tex] = 30t^2 -240t + 500 [/tex]
in how many days after a treatment will be concentration be minimal ?
Answer:
The answer is 4
Step-by-step explanation:
[tex]c \: (t) = {30ft}^{2} = - 240t + 500[/tex]
For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).
Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):
[tex]c \: (t) = {at}^{2} + bt + c \\ \\ tm = - \frac{b}{2a} [/tex]
For the given function:
[tex]tm = - \frac{ - 240}{(2)30} = \frac{240}{60} = 4[/tex]
The minimum concentration of bacteria will be after 4 days.
23. Geometric constructions require the following tools:
O a protractor, compass, and a pencil
O a compass, a straightedge, and a pencil
O a compass, scissors, and a pencil
O a protractor, a straightedge, and a pencil
Answer:
The correct option is;
Geometric constructions require the following tools;
A protractor, a straightedge, and a pencil
Step-by-step explanation:
The question relates to the tools required for a geometric construction. From the question options, the complete set of tools with which a geometric construction is made comprises of the following
1) A protractor, which is used for angle measurements
2) A straightedge, which is used to draw lines which are straight or for checking the straightness of a line
3) A pencil, which is made up of a graphite stick reinforced by an enclosure of wood or other material, is used for creating visible marks of drawings or writing on paper or some other writing materials by physical abrasion
A compass is used for navigation of the geographic cardinal directions and comprises of a magnet.
Answer:
Answer is compass, straightedge, and a pencil
Step-by-step explanation
have a nice day :)
A tendency to avoid putting money into high-risk investments is known as being
a.risk-adverse
b.conscientious saver c.investment-adverse
d.saver
Answer:
a
Step-by-step explanation:
Answer:
risk-adverse
Step-by-step explanation:
The term risk-averse describes the investor who chooses the preservation of capital over the potential for a higher-than-average return.
Let the graph of g be a vertical stretch by a factor of 2, followed by a translation 5 units down of the graph of f(x) = e". Write a rule for g
Answer:
g(x) = 2e - 5
Step-by-step explanation:
f(x) = e
2 f(x) = 2e : vertical stretch by a factor 2
2 f(x) - 5 : transition 5 units down
g(x) = 2 f(x) - 5 = 2e - 5
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.
Answer:
24
Step-by-step explanation:
A triangle is a three sided polygon with three edges and three vertices
There are different types of triangles. They include :
Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equalArea of a triangle = 1/2 x ( base x height)
1/2 x (6 x 8) = 24 ft²
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful