Answer:
[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1r^{n-1}[/tex]
We have the geometric sequence: 1, -2, 4, -8, ...
Find the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]
[tex]a_1=1,\ a_2=-2[/tex]
substitute:
[tex]r=\dfrac{-2}{1}=-2[/tex]
Substitute
[tex]a_1=1;\ r=-1[/tex]
to
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_n=1\cdot(-2)^{n-1}[/tex]
Answer:
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Step-by-step explanation:
Hi there!
Let's do it,
1)[tex]1,-2,4,-8[/tex]
First let's find the q, the common ratio by dividing the second term by the anterior one.
-2:1 =-2
4:-2=-2
So the common ratio is -2. Plugging in on the General formula:
[tex]a_{n}=a_{1}q^{n-1}[/tex]
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Describe the transformation of ƒ(x) = 10x which is given by g(x) = 103x. Question 20 options: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x). B) g(x) is stretched vertically by a factor of 3 compared to ƒ(x). C) g(x) is shrunk vertically by a factor of 1∕3 compared to ƒ(x). D) g(x) is stretched horizontally by a factor of 3 compared to ƒ(x).
Answer: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Step-by-step explanation:
Given: f(x) 10x
g(x) =10(3x)
= f(3x)
Since, f(ax) is a horizontal compression when a> 1 by the factor of [tex]\dfrac{1}{a}.[/tex]
That means g(x) is shrunk horizontally by a factor of [tex]\dfrac{1}{3}[/tex] compared to ƒ(x).
So, the correct option is A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Answer:
Step-by-step explanation:
Answer: A) g(x) is shrunk horizontally by a factor of 1∕3 compared to ƒ(x).
Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz
Answer:
8.5 units
Step-by-step explanation:
x is the adjacent side, the side that's 19 units is the opposite side.
Given the adj and the opp sides, use tangent.
tanθ= opp/adj
tan 66°= 19/ x
x(tan66°)= 19
x= 19/(tan 66°)
x= 8.5 units (nearest tenth)
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
The number of students that fit in each van is _ and the number of students that fit in each bus is _
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Answer:
The number of students in each van = 14
The number of students in each bus = 43
Step-by-step explanation:
Let the number of students that can fill a van be v.
Let the number of students that can fill a bus be b.
The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.
13 vans will have (13v) students
9 buses will have (9b) students
13v + 9b = 569
High School B rented and filled 14 vans and 3 buses with 325 students
14 vans will have (14v) students.
3 buses will have (3b) students.
14v + 3b = 325
Combining these two simultaneous equations
13v + 9b = 569
14v + 3b = 325
Solving simultaneously,
v = 14 students.
b = 43 students.
Hope this Helps!!!
heeeeeeeeeeeeeeeeelp
Answer:
A no-doest pass the vertical line test
Step-by-step explanation:
the vertical line test is a test saying any line is functional if when several vertical lines are drawn, the function does not pass through any line more than once
hope this helps:)!
what is your yearly median income based on your current educational level
Answer:
Step-by-step explanation:
To answer this question properly one would need access to a table or graph of income versus current educational level, and that information would have to be collected in a study involving a focus group (as such data for all people would just not be available. In what context did you find this question?
I have no clue what the answer is. Please help ASAP
Answer: C
Step-by-step explanation:
I hope it right :)
Find the surface area of the cone represented by the net below.
31.4 in.2
43.96 in.2
394.38 in.2
56.52 in.2
Answer:
43.96 in^2
Step-by-step explanation:
The net shows the areas of the parts of the cone, so you simply need to add them up to get the total surface area.
31.4 in^2 +12.56 in^2 = 43.96 in^2
Answer:
43.96 in.2.
Step-by-step explanation:
The surface area of a cone is the triangular shape and its circular base.
In this case, the top of the cone is 31.4 inches squared in area, and the circular base is 12.56 inches squared.
So, the surface area of the cone is 31.4 + 12.56 = 43.96 inches squared.
Hope this helps!
Use substitution to determine if the solution is correct (PINK HIGHLIGHTED ONE!!!)
Answer:
It is not correct.
Step-by-step explanation:
If you plug 4 in for x, you get -2*4+5=13. This simplifies to: -8+5=13. This is an untrue statement since -8+5 is actually -3, not 13.
Hope this is helpful! :)
Answer:
undefined
Step-by-step explanation:
So with the following equation,
-2x + 5 = 13
we plug in 4 for x
-2(4) + 5 = 13
-2 * 4 = -8
-8 + 5 = 13
-8 + 5
-3 = 13
-3 is not 13 so it is undefined
Thus,
the answer is undefined.
Hope this helps :)
Plz help meeee -28=n(-7)
Answer:
n=4
Step-by-step explanation:
-28 divided by -7 is 4
Answer:
4
Step-by-step explanation:
divide -7 on both sides
-28/-7=4
Which equation is equal to 2^4x = 8^x-3? Edge2020
Answer:
C) 2^4x=2^3x-3
Step-by-step explanation:
2^4x=2^3x-3
(2³=8)
Answer:
I think the answer is the 3rd one, but i'm not sure.
Step-by-step explanation:
It is estimated that there are deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells.
Answer:
answer is a
Step-by-step explanation:
i took the exam
HALPPPPPPPPP The center of a circle has coordinates (6, – 5). The circle is reflected about the line y=x. What are the coordinates of the center of the image circle? ~~~~~~~~~~~~~~~~~~~~~~~~~ (A)(6, −5)~~~(B)(−5, 6)~~~(C)(5, −6)~~~(D) (1, 0)~~~(E) (0, 1)
Answer:
B: (-5, 6)
Explanation:
If this is being reflected over the line y = x, then the formula to solve would be (b, a), so therefore the answer would be B.
What are two different ways you could find the value of a? Explain these methods.
Answer:
Using the Pythagorean theorem we can know from the first triangle that the height of the two triangles are 12. So, we then know that a = 20.
(Root 15^2-9^2=12) (Root 12^2+16^2=20)
Another way is using the whole triangle. The step above used two triangles. The two triangles together makes a big right triangle, so we can again use the Pythagorean theorem. So, the answer again is 20.
(Root 25^2-15^2=20)
Step-by-step explanation:
Using the Pythagorean theorem we can know from the first triangle that the height of the two triangles is 12. So, we then know that a = 20.
We have to find the value of ‘a’ using two different ways.
By the Pythagorean theorem,
By cross multiplication,
16(25) = a2
a2 = 400
Taking square root,
a = 20
Therefore, the length of the other side a = 20.
How do you find the value?
You can calculate the mean value by adding up the numbers and then dividing the result by the number of numbers. For instance, to find the mean value of 4, 1, 3, and 8, first, add up the numbers: 4+1+3+8=16 4 + 1 + 3 + 8 = 16.
What is the value of a b )( A B?Therfore=a2−b2.
Learn more about the value of an at
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Find the zeros of y = x2 - 8x - 3 by completing the square.
O A. x=3+√7
B. X = +3
C. X = 4 + 119
O D. X= -4 + 119
Answer:
Assuming that you meant 4+√19 is C.
Step-by-step explanation:
[tex]x^2-8x-3=x^2-2(4)x-3=x^2-2(4)x+16-3-16\\(x-4)^2-19\\(x-4)^2-19=0\\(x+4)^2=19\\x+4=\sqrt{19} \\x=-4+-\sqrt{19}[/tex]
Is my answer correct. If not, what is the answer ? Thank you
Answer:
P = 3
Q = -4
R = 22
Step-by-step explanation:
Expand both sides and compare coefficients.
5Px^2 -PQx +10x -2Q = 15x^2 + Rx +8
Compare coefficients of x^2
5P = 15 => P = 3
Compare constant terms
-2Q = 8
Q = -4
Compare coefficients of x
-PQ + 10 = R
-(3)(-4) + 10 = R
R = 10 + 12 =22
10 POINTS NEED AN ANSWER ASAP PLS SIMPLIFY.
1. 2X + 8X – 10 + 6
2. 3(X+7)
3. (X + 2) (X - 3)
Answer:
1. 2 ( 5x - 2 )2. 3x + 213. x² - x - 6Step-by-step explanation:
1.
[tex]2x + 8x - 10 + 6[/tex]
Collect like terms
[tex] = 10x - 10 + 6[/tex]
Calculate the sum
[tex] = 10x - 4[/tex]
Factor out 2 from the expression
[tex] = 2(5x - 2)[/tex]
2.
[tex]3(x + 7)[/tex]
Multiply each term in the parentheses by 3
[tex] = 3x + 3 \times 7[/tex]
Multiply the numbers
[tex] = 3x + 21[/tex]
3.
[tex](x + 2)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex] = x(x - 3) + 2(x - 3)[/tex]
Calculate the product
[tex] = {x}^{2} - 3x + 2x - 2 \times 3[/tex]
Multiply the numbers
[tex] = {x}^{2} - 3x + 2x - 6[/tex]
Collect like terms
[tex] = {x}^{2} - x - 6[/tex]
Hope this helps..
best regards!!
simplify
15x-3/ 5x² - 11x +2 + x-5/2x² - 11x +5
Answer:
The answer is [tex]-\frac{31x^2}{10}[/tex]- 6x+7
Hope this helps!
Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY
Answer:
XY = 24 units
Step-by-step explanation:
First of all, we need to some construction here.
Let us draw a line parallel to XY from point P towards OX, which cuts OX at point Q.
Please refer to the attached figure.
Now, Let us consider triangle OQP which is a right angled triangle, with
Hypotenuse, OP = 26 units
Height, OQ = OX - PY = 16 - 6 = 10 units
Base, PQ = ?
We can use pythagorean theorem here to find the value of PQ.
According to pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = PQ^{2} + OQ^{2}\\\Rightarrow 26^{2} = OQ^{2}+10^{2} \\\Rightarrow PQ^{2} = 26^{2}-10^{2} \\\Rightarrow PQ^{2} = 676-100 \\\Rightarrow PQ^{2} = 576\\\Rightarrow PQ= 24\ units[/tex]
Now, we can see that side PQ is equal to side XY.
[tex]\therefore[/tex] XY = 24 units is the answer.
A company makes toy plastic soccer balls each with a radius of 3 inches. How many square inches of plastic does the company need to make 5 toy soccer balls? Use 3.14 for Pi and round to the nearest tenth. Recall the formula S A = 4 pi r squared. 113.0 inches squared 188.4 inches squared 376.8 inches squared 565.2 inches squared
Answer:
9.42naturaleza cordero y otras cosas tontas bla bla respuesta
Step-by-step explanation:
Answer:
113.0
Step-by-step explanation:
if righ mark as brainliest
13. Imagine that you have exposed a 24-exposure roll of film that you purchased for $3.95. It costs
you $4.70 to get it developed with one print for each exposure.
A. What is the total cost of getting the prints made?
B. What is the cost per print?
C. If you used the recommended number of exposures to bracket your images, what is the
actual cost of each final print?
a 5 ounce bottle of hair conditioner is priced at $2.55. what is the price per ounce
Answer:
¢51
Step-by-step explanation:
The price of once ounce of hair conditioner is 2.55 divided by 5 which is equal to 0.51. Convert that into cents and you get: ¢51.
Which of the following exponential functions is represented by the graph? Question 15 options: A) ƒ(x) = (1∕2)x B) ƒ(x) = 2x C) ƒ(x) = −2x D) ƒ(x) = (1∕2)−x
Answer:
Option (A)Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
[tex]4=a(b)^{(-2)}[/tex]
[tex]4=\frac{a}{b^{2} }[/tex] ------(1)
For second point (-1, 2),
[tex]2=a(b)^{-1}[/tex]
[tex]2=\frac{a}{b}[/tex] -----(2)
Dividing equation (1) by equation (2),
[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]
[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]
[tex]2=\frac{1}{b}[/tex]
b = [tex]\frac{1}{2}[/tex]
From equation (1),
[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) = [tex]1.(\frac{1}{2})^{x}[/tex]
[tex]f(x)=(\frac{1}{2})^x[/tex]
Option (A) will be the answer.
Answer:Answer:
Option (A)
Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
------(1)
For second point (-1, 2),
-----(2)
Dividing equation (1) by equation (2),
b =
From equation (1),
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) =
Option (A) will be the answer.
Step-by-step explanation:
Use DeMoivre's Theorem to find the following. Write your answer in
standard form.
(3 - 3i)^3
Simplify and write answer in standard form, a + bi
Answer: -54-54i
A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 4?
Answer:16.8 ur welcs
Step-by-step explanation:
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 27.5 B) 5.5 w - 3.25 = 27.5 C) 5.5 w = 27.5 D) 5.5 - 3.25 w = 27.5
Answer:
C. 5.5 = 27.5
Step-by-step explanation:
The customer did not provide any supplies which means that the number 3.25 should not even be apart of the answer choice because it is not being deducted.
5.50 multiplied by how many widows (w) are washed should equal 27.50
Therefore C. 5.5 = 27.5 is the answer
Answer:
C) 5.5 w = 27.5
Miss White wants to buy 5 value meals at Mel’s Diner.
What is the reasonable total for her purchase?
A. $25
B. $1,000
C. $100
D. $10
Need answer ASAP
Answer: A
Step-by-step explanation:
Divide each total by 5 to get 5, 200, 20, 2.50. $5 per value meal is the most fair price.
Hope it helps <3
If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A. If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable.
B. If the total is $1000, then each meal would equal 1000/5 = $200, which is not reasonable
C. If the total is $100, then each meal would equal 100/5 = $20, which is not a reasonable price for a value meal
D. If the total is $10, then each meal would equal 10/5 = $2 which is not a reasonable price for a value meal.
Hence, If the total is 25$, then each value meal would equal 25/5 = 5$, which is reasonable. so option A is correct.
Learn more about the unitary method;
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If the marginal product decreases, what will happen to the total product and average product?
Decrease; decrease
Decrease; increase
Increase; increase
Indeterminate; decrease
Indeterminate; indeterminate
Answer:
Decrease;Decrease
Step-by-step explanation:
PLEASE HELP!! is it
A) 4 cm
B) 64 cm
C) 25cm
D) 160 cm
Answer: The Awnser to this equation is C, AE is equal to 25
Answer:
C. 25cm
Step-by-step explanation:
So D and B are too long even longer than AD so that brings us to A or C.
A is too small.
Thus, by logic and reasoning C. 25cm is the correct answer.
If tanx = 1, and 0< x < 90 degrees, find cos(x/2)? a. [tex]-\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] b. [tex]\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] c. [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex] d. [tex]-\frac{\sqrt{2}-\sqrt{2} }{2}[/tex]
Answer:
B is the correct answer.
Step-by-step explanation: If tanx=1, then cosx=√2/2. Use your half angle formulas to plug cosx in, and you should get B as your answer.
A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-
score for the data value of 22.
Answer: z score is -19
Work Shown:
x = 22 is the raw score
mu = 60 is the mean
sigma = 2 is the standard deviation
z = (x-mu)/sigma = formula to find z scores
z = (22 - 60)/2
z = -38/2
z = -19
The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)