Answer:
2,6,18,54
How I got this answer:
Each term after the first is found by multiplying by a fixed, non-zero number called a common ratio.
step by step:
2×3=6
6×3=18
18×3=54
The common ratio is 3.
Solve by completing the square x^2+6x+13=0
Answer:
x = -3 + 2 i or x = -3 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 6 x + 13 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 13 from both sides:
x^2 + 6 x = -13
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 9 to both sides:
x^2 + 6 x + 9 = -4
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 3)^2 = -4
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 3 = 2 i or x + 3 = -2 i
Hint: | Look at the first equation: Solve for x.
Subtract 3 from both sides:
x = -3 + 2 i or x + 3 = -2 i
Hint: | Look at the second equation: Solve for x.
Subtract 3 from both sides:
Answer: x = -3 + 2 i or x = -3 - 2 i
Write 4/9 as a decimal?
Answer: 0.44
Step-by-step explanation:
Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW
Answer:
The numerical length of UW is 27
Step-by-step explanation:
____________ prove that the people traded over long distances. a. Ancient tree stumps, discovered by scientists, b. Written records c. Buildings that were built with logs from mountains about 50 miles away d. Oral traditions
Answer:
It’s c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the inverse transform by convolution: 4 (s-3)(s-2) C.27.
I suppose you're asking about the inverse Laplace transform of
[tex]F(s)=\dfrac4{(s-3)(s-2)}[/tex]
by way of the convolution theorem.
The theorem itself says that
[tex]\mathscr L^{-1}\{A(s)B(s)\}=(a*b)(t)[/tex]
where [tex]A(s)[/tex] and [tex]B(s)[/tex] are the Laplace transforms of [tex]a(t)[/tex] and [tex]b(t)[/tex], respectively.
Let [tex]A(s)=\frac1{s-3}[/tex] and [tex]B(s)=\frac1{s-2}[/tex]. Then
[tex]a(t)=\mathscr L^{-1}\left\{\dfrac1{s-3}\right\}=e^{3t}[/tex]
[tex]b(t)=\mathscr L^{-1}\left\{\dfrac1{s-2}\right\}=e^{2t}[/tex]
So we have
[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=e^{3t}*e^{2t}[/tex]
Convolution is defined as
[tex](a*b)(t)=\displaystyle\int_0^t a(t-\tau)b(\tau)\,\mathrm d\tau[/tex]
The convolution of [tex]e^{3t}[/tex] and [tex]e^{2t}[/tex] is
[tex]e^{3t}*e^{2t}=\displaystyle\int_0^t e^{3(t-\tau)}e^{2\tau}\,\mathrm d\tau[/tex]
[tex]=\displaystyle e^{3t} \int_0^t e^{-\tau}\,\mathrm d\tau[/tex]
[tex]=e^{3t}(1-e^{-t})=e^{3t}-e^{2t}[/tex]
We end up with
[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=\boxed{4(e^{3t}-e^{2t})}[/tex]
expressions that are equivalent to -8.
Answer:
f(1)=5x-13=-8
Step-by-step explanation:
5-13=-8
or
f(1)=5x-13=-8
What is the area of the triangle?
20
16
12
units
Answer:
3840
Step-by-step explanation:
Hope this helps you out
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.
(6, −7), (6, 1)
Answer: undefined; vertical line
Step-by-step explanation:
To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-(-7)}{6-6} =\frac{8}{0}[/tex]
The slope is undefined because you cannot divide anything by 0.
The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.
What is a complementary angle versus a supplementary angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)
Answer:
y = 2x
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Find slope m
2x - y = -4
-y = -2x - 4
y = 2x + 4
Since the 2 lines are parallel, they have the same slope.
Step 2: Define variables
Slope m = 2
Origin (x-int and y-int) (0, 0)
Step 3: Write parallel linear equation
y = 2x + 0
y = 2x
-2X=-42
What do I do to this problem
In ΔXYZ, the measure of ∠Z=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ∠X?
Answer:
12/37
Step-by-step explanation:
8÷2(2+2) is 16 right or is it 1
the answers 16 if you need an explanation then ill comment one.....!
Answer:
16
Step-by-step explanation:
8 :2 ×(2 +2) =
4 ×4 =
16
In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hou calculate how long it takes to reach the sea.
Answer:
Distance = rate x time or d = rt...that means time t = d/r...and we have
t = 21 km / .5 km/hr = 42 hr
Step-by-step explanation:
The amount of time taken by the lava to reach the sea will be 42 hours.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity it only requires magnitude to represent.
Given In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometers per hour.
The distance will be calculated as below:-
Distance = rate x time
d = r x t
t = d / r
t = 21 km / .5 km/hr
t = 42 hr
Therefore, the amount of time taken by the lava to reach the sea will be 42 hours.
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Mrs. Tollett's class is working on a
recycling project. The students
are collecting aluminum cans. Over
three days, they collected 88 cans,
113 cans, and 73 cans. How many
cans did they collect in all?
Answer:
274
Step-by-step explanation:
113+88+73
Could the product of a positive integer and a negative integer be positive? Explain.
Answer: the product is always positive.
Step-by-step explanation: Rule 1: The product of a negative integer and a positive integer is a negative integer. Rule 2: The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.
Answer: No because the product of a positive integer and a negative integer is always negative.
f(x)=-6x-8, what if f(-3)
Answer:
f(-3) = 10
Step-by-step explanation:
Simply plug in x as -3 to find f(-3):
f(-3) = -6(-3) - 8
f(-3) = 18 - 8
f(-3) = 10
PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6
Answer:
Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18
express the mass 6,200,000 kilograms using scientific notation in kilograms, and then in grams.
Answer:
620000000
Step-by-step explanation: 6.2 10^8
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form,62*10^5 is the scientific notation of 6,200,000 kilograms
We need to express 6,200,000 kilograms using scientific notation in kilograms.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to express 6,200,000 kilograms into scientific notation
The format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.
Now 62*10^5 is the required scientific notation.
Therefore 62*10^5 is scientific notation of 6,200,000 kilograms.
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Perform the operation (7x3)+(- 2x3/8x2)
PLSS HELPPP 20 POINTS
Which of the following is the best way of selecting a random sample from students at King
Middle School?
a) Use the student directory, toss a number cube, start from that name, and select every tenth person.
b) Select every student from one grade.
c) Use the student directory, pick one student's name by chance, and then pick another student's
name.
d) Pick every tenth person who arrives at school by bus.
Answer:
a
Step-by-step explanation:
just did it
Answer:the 2nd one is the answer it's easy I just did it :
Complete the recursive formula of the geometric sequence 56\,,-28\,,\,14\,,-7,...56,−28,14,−7,...56, comma, minus, 28, comma, 14, comma, minus, 7, comma, point, point, point. d(1)=d(1)=d, left parenthesis, 1, right parenthesis, equals d(n)=d(n-1)\cdotd(n)=d(n−1)⋅d, left parenthesis, n, right parenthesis, equals, d, left parenthesis, n, minus, 1, right parenthesis, dot
Answer:
Step-by-step explanation:
[tex]r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}[/tex]
The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The standard equation for geometric series is
Tₙ = a₁ rⁿ⁻¹
The formula above represents the explicit formula to determine the nth term of the sequence.
The recursive formula is used to determine the nth term when (n-1) th term is given.
The geometric sequence is,
56, -28, 14, -7,.................
The first term of the sequence is 56
The common ratio is determined by taking the ratio of the second term to the first term.
r = -28/56 = -1/2
The recursive formula is represented by,
aₙ = r * aₙ₋₁
aₙ = (-1/2) * aₙ₋₁
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can someone do it :) Simplify 5(x - 6).
Answer:
5x - 30
Step-by-step explanation:
I used the distributive property and I think I got it.
Answer:
5 x minus -30
x is equal to -6
hope this helped you
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a preschool student finds a big bag of cookies and begins to take the cookies from the bag and hide them in her cubbyhole. after hiding 3 cookies, she decides to keep count of how many cookies are actually in her cubbyhole. first there are 3 cookies. after pulling out more cookies, she then has 5 cookies, then 7 cookies, and then 9 cookies. however, she only knows how to count to 10! assuming she continues to pull cookies from the bag at the same rate indicated by the sequence of cookies above, how would the preschool student continue the pattern? describe the arithmetic sequence in this context.
Answer:She will count the cookies by 2's
Step-by-step explanation:
Zoe mows the lawn in the summer to earn extra money she usually charges $15 per week but she offers a special rate of $59.50 if a customer prepaid for 5 weeks. how much does a customer pay for each week with a special rate?
Answer:$11.90
Step-by-step explanation:
Divide 59.50 by 5
Describe how each model can help you round a decimal.
You
Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate of pay? a. $16.21 b. $19.25 c. $20.53 d. $25.67 Please select the best answer from the choices provided
The correct answer is B. $ 19.25
Explanation:
To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.
6 hours x 4 days = 24 hours
8 hours x 1 day = 8 hours
24 hours + 8 hours = 32 hours
This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:
$616 (total earned) ÷ 32 hours = $19.25 each hour
This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.
Answer:
B
Step-by-step explanation:
10x2-10x+2 from 8x2+7-7
Step-by-step explanation:
10x2-10x+2
20-10x+2
22-10x
8x2+7-7
16+0
16
I'm confused so I add together cuz why not?
16+22-10x
28-10x
Given that U = {1, 2, 3, 4, 5, 6), find the complement of the set A = {1, 3, 5).
Answer:
complement of set A={2,4,6}
hope it helps
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f(x)=2x^7 find the domain and range
Answer:
Domain:
-∞<x<∞, or (-∞,∞) in interval notation
Range:
-∞<f(x)<∞, or (-∞,∞) in interval notation
Step-by-step explanation:
It’s infinite both ways, so:
Domain:
-∞<x<∞, or (-∞,∞) in interval notation
Range:
-∞<f(x)<∞, or (-∞,∞) in interval notation