Answer:
a₁₂ = - 4194304
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = [tex]\frac{-4}{1}[/tex] = - 4 , then
a₁₂ = 1 × [tex](-4)^{11}[/tex] = - 4194304
If x+2y=13 find the value of y when x is
Answer:
x is what????
Step-by-step explanation:
*prove de/ae = bd/ce*
triangle proportionality.
i am able to find that the triangles are similar but don’t know how to prove the parallel sides are proportional to the side segments
Explanation:
You can use the definition of similarity to show that corresponding sides are proportional. You cannot prove anything about the proportionality of non-corresponding sides.
Statement . . . . Reason1. BD║CE . . . . given
2. ∠A≅∠A . . . . reflexive property of congruence
3. ∠ABD≅∠ACE . . . . corresponding angles theorem
4. ΔABD ~ ΔACE . . . . AA similarity postulate
5. BD/CE = AD/AE . . . . definition of similarity
_____
Additional comment
Length DE is related to BC in the same way that AD is related to AB. There is no way to prove the ratio you show in your problem statement. You can show that ...
DE/AE = (CE -BD)/CE = 1 -(BD/CE) . . . . the difference is proportional to the corresponding longer side
Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. The average speed that they traveled during each leg of the trip is shown on the map. They drove 30 min in the city, 3 h on the highway, and 30 min up the mountain.
Write a piecewise function to represent the distance that Derek traveled during his four hour trip.
The piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex]
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex]
How to build a piecewise function
A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.
Then, the piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex] (1)
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex] (2)
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex] (3)
RemarkThe map with key information of velocities is missing. We proceed to show the required information:
City - 30 miles per hour
Highway - 60 miles per hour
Mountain - 45 miles per hour
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The morse code is "FOUR BEFORE DECIMAL" I need help with the math problem and how FOUR BEFORE DECIMAL fits into it
Answer:
the answer is 113.5
Step-by-step explanation:
rate brainliest!
Answer:
114
Step-by-step explanation:
3^5 = 243
4^2 = 16
(243 - 16) / (4 + (-2))
227/2 = 113.5
I think that the morse code phrase refers to rounding the answer
which comes to be...
114
Therefore the 4 is before the decimal
I am not entirely sure, but that is what I think it is
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
A translation of (x -3, y + 4) means
Answer:
you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.
And if you subtract a constant from your y in the original function you move its graph down by that number of units.
Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.
And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden
Jan 15, 2018
translation of 4 units right
translation of 3 units down
y=4x−4−3
Explanation:
translation of 4 units right
translation of 3 units down
y=f(x)→y=f(x−4)−3
y=4x−4−3
Step-by-step explanation:
you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.
And if you subtract a constant from your y in the original function you move its graph down by that number of units.
Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.
And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden
Jan 15, 2018
translation of 4 units right
translation of 3 units down
y=4x−4−3
Explanation:
translation of 4 units right
translation of 3 units down
y=f(x)→y=f(x−4)−3
y=4x−4−3
translation of 4 units right
translation of 3 units down
y=4x−4−3
Explanation:
translation of 4 units right
translation of 3 units down
y=f(x)→y=f(x−4)−3
y=4x−4−3
I hope it helps :)
Answer link
A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.
How to interpreted the translationFor any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:
3 to the x-coordinate and 4 to the y-coordinate:x' = x - 3
y' = y + 4
This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.
Learn more about translation
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Based on her results, what is the probability that a student randomly picked in her class chose comedy as their favorite?
1. 1/14
2. 2/7
3. 1/2
4. 1/7
Explanation:
8 people picked comedy out of 14+8+2+4 = 28 people total.
8/28 = (4*2)/(4*7) = 2/7 is the probability of randomly selecting someone who picked comedy as their favorite.
What is the expected probability of spinning a 1 on the following spinner?
a spinner with 5 equal sections labeled 1 through 5.
enter your answer as a fraction, like this: 42/53
Answer:
1/5
Step-by-step explanation:
Write the y-intercept of the graph of 8x − 4y = 2?
Answer:
b= -1/2
Step-by-step explanation:
-2/4 is simplified to -1/2 as the y-intercept
y= -4x - 1/2
please help??????????????????????????????? so confused
8s-11s+6s
Answer: = 3 seconds
Step-by-step explanation: combine the like terms Hope it helps !!
To simplify: 8s - 11s + 6s. Simplify the like terms by combining them
Simplifying 8s - 11s + 6s will give 3s.
Given,
8s - 11s + 6s
Now,
Expression : 8s-11s+6s
To simplify the expression combine like terms. So, all the terms consists of variable s.
Combine all terms having same sign,
So,
Firstly apply addition
8s + 6s
= 14s
Now,
Apply subtraction,
14s - 11s
= 3s
Therefore the simplified version is 3s.
Know more about expressions,
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How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many
It has one solution :)
The circumference of a circle is 15pi centimeters. What is the area of the circle in terms of pi?
Answer: [tex]56.25\pi[/tex]
Step-by-step explanation:
The circumference of a circle can be found using [tex]d\pi[/tex], where d is the diameter. In this case, we can clearly see the diameter is 15.
Next, we must find the radius as the formula for the area of a circle is [tex]\pi r^2[/tex]
The radius is half of the diameter. [tex]\frac{15}{2} =7.5[/tex]
Now sub in this value for the formula of the area of a circle
[tex]\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi[/tex]
Answer:
56.25[tex]\pi[/tex]
Step-by-step explanation:
circumference=2[tex]\pi r[/tex]
15[tex]\pi[/tex]=2[tex]\pi r[/tex]
r=7.5
Area=[tex]\pi r^{2}[/tex]
=[tex]\pi * 7.5^{2}[/tex]
= 56.25[tex]\pi[/tex]
I need help ASAP...
(reward 10 points)
Answer:
it may be C im sorry if its wrong
Step-by-step explanation:
please mark me the brainiest
Answer:
The answer is a negative correlation.
Step-by-step explanation:
It is a negative correlation because when the y variable tends to decrease as the x variable increases, you can say there is a negative correlation between the variables.
Which expression is equal to – 8s – 2s2 + 23s – 4?
A. -2s^2 + 15s - 4
B. -10s^2 + 23s - 4
C. -2s^2 - 8s + 19 - 4
D. 13s^2 - 4
Answer:
A. -2s^2 + 15s - 4
Step-by-step explanation:
Help on this please.
Answer:
total - given, 360 -139 = 221
On Melissa's 6th birthday, she gets a $6000 CD that earns 7% interest, compounded semiannually. If the CD matures on her 14th birthday, how much money will be available?
if the CD matures on her 14th birthday, that means 8 years after she got it, since she got it in her 6th birthday, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &8 \end{cases} \\\\\\ A=6000\left(1+\frac{0.07}{2}\right)^{2\cdot 8}\implies A=6000(1.035)^{16}\implies A\approx 10403.92[/tex]
What is the equation of the line that passes through the point (-1,-9)and has an undefined slope
Answer:
x = -1
Step-by-step explanation:
"An undefined slope" indicates that the line in question is a vertical one. The coordinate x = -1 tells us that the equation of the line is just that: x = -1.
Number 8 please thanks!
[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]
Hope that helps!
If K is the midpoint of segment JL, JK = 8x + 11 and KL = 14x - 1, find JK.
Answer:
27 units
Step-by-step explanation:
A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...
JK = KL
8x +11 = 14x -1 . . . . . substitute given expressions
12 = 6x . . . . . . . . add 1 -8x
2 = x . . . . . . . . divide by 6
Then the length of JK is ...
8x +11 = 8(2) +11 = 27
JK is 27 units long.
_____
Additional comment
KL = JK = 27 units
JL = 2(27 units) = 54 units
Paint costs $3.99 per can and brushes cost $2.50 each. The sales tax rate is 5%. Which expression represents the total cost of p cans of paint and b paint brushes
Multiply the price of each by the quantity purchased, add those together, then multiy the total by the sales tax.
Total = 1.05(3.99p + 2.50b)
A computer company wants to determine if there is difference in the proportions of defective computer chips in a day's production from two different production plants A and B. A quality control specialist takes a random sample of 100 chips from the day's production from plant A, and determines that there are 12 defective chips. The specialist
then takes a random sample of 100 chips from the day's production from plant B, and determines that there are 10 defective chips. Based on the 90% confidence interval, (0.05, 0.09), is there convincing evidence of a difference in the true proportions of defective chips from a day's production between the two plants?
O There is convincing evidence because the sample proportions of defective chips for the two plants are different
O There is not convincing evidence because the interval contains 0
O There is convincing evidence because the difference in the two sample proportions is 0.02. Since this is not 0, there is a difference in the true proportions of defective chips for the two plants.
O There is not convincing evidence because the interval contains both negative and positive values.
Answer:
B. There is not convincing evidence because the interval contains 0.
Step-by-step explanation:
what is the area of this triangle?
What is a necessary step for constructing perpendicular lines through a point on a line?
O Draw a line that intersects the first line at an acute angle using a straightedge.
O Draw a ray that intersects the first line at an acute angle using a straightedge.
Draw arcs on either side of a given point on the line,
Draw ares on either sig, of a given point of the line
A necessary step for constructing perpendicular lines through a point on a line is D. Draw arcs on either side of a given point of the line.
What is a perpendicular line?A perpendicular line simply means the lines that intersect at 90 degrees.
In this case, a necessary step for constructing perpendicular lines through a point on a line is to draw arcs on either side of a given point of the line. This can be done by opening the compass bans marking two points of intersection between the arcs in a given line.
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Answer:nj
Step-by-step explanation:
j
Please I really need help!? NOW!! Will give brainest!!
Answer:
the figure is a rectangle with a side of trapezium
according to my calculation the answer is
196m²
explanationArea of trapezium =½(10+8)×4=36
Area of rectangle =10×16=160
add=160+36
therefore the answer is 196m²For every pizza Caron's family ate, Caron ate 2 of the 8 slices. If Caron's family brought 4 pizzas, write the ratio of the total number of slices Caron ate to the total number of slices the family ate.
Answer:
[tex]\frac{8}{32}[/tex]
Step-by-step explanation:
2×4=8
Caron are a total of 8 slices.
8×4=32
There were 32 slices between all 4 pizzas.
Can anyone help me calculate the average rate of change of f(x)?
Answer:
Step-by-step explanation:
Express the decimal as a percent. 1.276
60 points.
To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).
1.276 x 100 = 127.6
Percentage: 127.6%
Hope this helps!
A spinner has 4 equal sections. after spinning the spinner 15 times, the results are recorded in a table. which of the given statements is true? a. the theoretical probability of landing on violet is 1/3. b. the experimental probability of landing on red is 1/5. c. the experimental probability of landing on yellow is 1. d. the theoretical probability of landing on orange is 1/5.
Answer:
d
Step-by-step explanation:
Answer: The answer is B.) The experimental probability of landing on red is 1/5.
Step-by-step explanation:
Have a great day
6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?
nooo websites !!!
The volume of the given solid prism is: 3 × 3 × 5 = 45 units³
What is the Volume of a Solid prism?The volume of any solid prism = base area of prism × height of the prism.
Given the following dimensions of the solid prism:
Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²Volume of the solid prism = 9 × 5 = 45 units³
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A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of pi?
The expression that best represents the value of pi is 53/d.
What is the expression that represents pi?Pi can be described as the ratio of the circumference of a circle to its diameter. The circumference of the patio is the distance round the patio. The formula that can be used to represent the circumference of the patio is πD
53 = πD
π = 53/d
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1. for his birthday, you buy your dad a package of tennis balls that come in a
cylindrical container with diameter 6.9 cm and height 20.6 cm. you cover
the container in wrapping paper before giving it to him. what is the area
of the wrapping paper? assume there is no overlap. round to the nearest
whole number.
a. 447 cm b. 521 cm
c. 1192 cm d. 3111 cm
Answer:
Why is it so important to know the area of wrapping paper it's just paper?
But anyways the answer is b 521 cm
Step-by-step explanation: