Answers
Answer:
7
Step-by-step explanation:
As you can see, each time (let's say n) increases by 1, it divides by 1/2. So from a1 to a2, you get 28/2 or 14, then from a2 to a3, 14/2 or 7.
7 being your answer.
Answer:
7Step-by-step explanation:
Given the recursive formula.
[tex]a_1=28\\a_n=1/2a_{n-1}[/tex]Use it to determine the value of te third term.
[tex]a_3=1/2a_2=1/2(1/2a_1) = 1/4a_1=1/4(28) = 7[/tex]Related Questions
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Question 1 options:
an=29,500(n)+500
an=500(n)+29,999
an=500(n)+29,500
an=500(n)+30,000
Answers
Mr. Red's salary is an illustration of an arithmetic sequence
The explicit rule of Mr. Red's salary is an = 500n + 29500
How to determine the explicit formula?Mr. Red's salary is an arithmetic sequence with the following parameters:
First term, a1 = 30000
Common difference, d = 500
The explicit rule is calculated as:
an = a1 + (n - 1) * d
This gives
an = 30000 + (n - 1) * 500
Evaluate the product
an = 30000 - 500 + 500n
This gives
an = 29500 + 500n
Rewrite as:
an = 500n + 29500
Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Evaluate the expression for x = 3 and y = 6.
5(x2 + y) + y2
Answers
Answer:
48
Step-by-step explanation:
5(x2+y)+y2
5 x (3 x 2 + 6) + 6 x 2
5 x 6 + 6 + 6 x 2
30 + 6 + 6 x 2
30 + 6 + 12
36 + 12 = 48
Pls help I’m really confused
Answers
I'll do problem 9 to get you started.
Refer to figure 1 shown below. I've highlighted triangle AOB in red. This is an isosceles triangle with AO = OB as the congruent sides. These sides are congruent because they are radii of the same circle. Consequently, it means that the base angles opposite those sides are congruent.
I'll let x be the base angles. I'll let the remaining interior angle be y. Furthermore, z is adjacent to angle y.
For triangle AOB, and any triangle really, the interior angles add to 180 degrees.
A+O+B = 180
x+y+x = 180
2x+y = 180
y = 180-2x
Then we can say
(angle AOB) + (angle AOP) = 180
y + z = 180
180-2x + z = 180
z = 180+2x - 180
z = 2x
The punchline here is that angle ABP doubles to angle AOP.
angle AOP = 2*(angle ABP)
You'll repeat these same type of steps for triangle BOC in figure 2. The steps are effectively identical so there's not much for me to explain that I already haven't done so. You should find that r = 2m which shows angle PBC doubles to angle POC.
-----------------------------
To wrap everything up for problem 9, we will combine the results we found for variables z and r.
angle AOC = z+r
angle AOC = 2x + 2m
angle AOC = 2(x+m)
angle AOC = 2*(angle ABC)
This concludes the inscribed angle theorem proof. Any inscribed angle doubles to get the corresponding central angle, where both subtend the same arc. In this case, they both subtend the arc APC.
The pilot of a small plane is flying at an altitude of 2000 ft- The pilor plans to start the final descent toward a runway when the horizontal distance between the plane and the runway is ? mi. To the nearest degree what will be the angle of depression 19 from the plane to the runw'y at this point?
Answers
Using the slope concept, supposing the horizontal distance is of 1500 feet, the angle of depression will be of 37º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we suppose an horizontal distance of 1500 feet, with a vertical distance of 2000 feet, hence:
[tex]\tan{\alpha} = \frac{1500}{2000}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{1500}{2000}\right)}[/tex]
[tex]\alpha = 37^\circ[/tex]
The angle of depression will be of 37º.
More can be learned about the slope concept at https://brainly.com/question/18090623
Use the properties of logarithms to write the logarithm in terms of
log5(2) and log5(3).
log5(12)
Answers
[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_5(12)\implies \log_5(4\cdot 3)\implies \log_5(2^2\cdot 3) \\\\\\ \log_5(2^2)~~ + ~~\log_5(3)\implies 2\log_5(2)~~ + ~~\log_5(3)[/tex]
Solve for xx. Round to the nearest tenth, if necessary.
Answers
sin U= |TS| / |US|
-> |US| = |TS| / sinU
-> x= 0.6 / sin 37°
-> x≈1,0
Pls help pls pls ple
Answers
Answer:
10.5 ft
Step-by-step explanation:
This problem is using scaling.
Basically:
2.5(RV) = WZ
Meaning our scale factor is 2.5.
Multiply 4.2 * 2.5
Your answer is 10.5 ft.
In the relation (a+c)^2=t make C the subject
Answers
Answer:
See below
Step-by-step explanation:
(a+c)^2 = t
(a+c) = sqrt t
c = sqrt(t) - a
The owner of a video game store creates the expression −2x2 28x 20 to represent the store's weekly profit in dollars, where x represents the price of a new video game. choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine that price. −2(x − 7)2 118; x = $7 −2(x − 7)2 118; x = $118 −2(x2 − 14x) 20; x = $14 −2(x2 − 14x − 10); x = $10
Answers
The given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]price is $7 option first is correct.
What is a quadratic expression?A quadratic expression is a second-degree algebraic expression represented by the:
[tex]\rm ax^2+bx+c=0[/tex] ........(1)
Where a, b, and c are the constants and
We have a quadratic expression:
[tex]\rm f(x)=-2x^2+28x+20[/tex]
Convert it to perfect square by perfect square trinomial:
[tex]\rm f(x)=-2(x^2+14x)+20[/tex]
[tex]\rm f(x)=-2(x^2+14x+49-49)+20[/tex] (adding and subtracting by 49)
[tex]\rm f(x)=-2(x-7)^2+2(49)+20[/tex]
[tex]\rm f(x)=-2(x-7)^2+118[/tex]
Here [tex]\rm (x-7)^2[/tex] is the positive term and -2 is the negative term so in order to get the highest weekly profit it should be zero, so
[tex]\rm -2(x-7)^2=0[/tex]
x = $7
Thus, the given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex] and the price is $7.
Learn more about quadratic expression here:
brainly.com/question/2263981
Answer:
First option A. −2(x − 7)^2 + 118; x = $7
Step-by-step explanation:
Took the test and it's correct, trust me :)
Eric and James are looking at this number sequence: 4, 8, 20, 56, 164. What must they do to find the term-to-term rule?
Answers
Answer:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
Step-by-step explanation:
Given sequence: 4, 8, 20, 56, 164
First, work out the difference in the terms:
[tex]4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164[/tex]
As the first differences are not the same, work out the second differences:
[tex]4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108[/tex]
Therefore, the term-to-term rule is:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
[tex]f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8[/tex]
[tex]f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20[/tex]
[tex]f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56[/tex]
[tex]f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164[/tex]
If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH
Answers
Answer:
They both have H hoel
Step-by-step explanation:
\
You want to get a cell phone plan including unlimited data, texting, and calls for your first phone you are going to purchase this summer from Sharaf Digital. Surf the internet and find a cell phone you would want to buy and record the price in US Dollars and type at Sharaf Digital.
a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.
b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.
Plan 1: $8 less than twice the amount of the service charge.
Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.
Plan 3: The sum of half the number of months cubed and a third of the service charge.
c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.
d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.
If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.
Create a 4th plan and show all calculations that led to your results.
Answers
Answer:Samsung Galaxy Z Fold3 5G 256GB Phantom Black Smartphone
USD 1343
a) All the plans have a base service charge of $23 per month plus the cost of the phone. Write an expression to represent the service charge.
1343 + 23m
b) There are three unlimited plans, and each plan incorporates the service charge. Translate each plan into an algebraic expression using the service charge expression from the above question.
Plan 1: $8 less than twice the amount of the service charge.
(service charge is 23 per month so)
1343 + 2(23m– 8)
Plan 2: The quotient of the service charge and 2 increased by a fee of $50 per month.
1343 + (23m/2 + 50m)
Plan 3: The sum of half the number of months cubed and a third of the service charge.
1343 + (1/2m3 + 1/3(23m))
c) Which plan would be most cost effective for a 2-year contract? Show all calculations that led to your results. Explain your results comparing the 3 plans.
Plan 1: 1343 + (24(23 – 8) = 1703
Plan 2: 1343+ (24x61.5) = 2819
Plan 3: 1343 + (1728 + 552) = 3623
Plan 1 is the most cost effective because it is the cheapest
d) Sharaf Digital is having a special promotion by challenging customers to create their own plan. Customers must write a verbal expression that must include the service charge and at least two operations. The operations to choose from are listed below.
If the plan is within $15 per month of one of the original 3 plans then the customer could choose that plan.
Create a 4th plan and show all calculations that led to your results.
Operations: product, more than, less than, double, sum, divided by, square
The product of 3.5 and the total cost divided by 4
3.5(1343 + (24(23 – 8))/4 = 1490.13
Plan 4 = 1490.13/24 = 62.09
Plan 1: 1703/24
70.95
Step-by-step explanation:
I need sum help y’all boys
Answers
You have to multiply the Diameter, times Pi.(3.14)
7. 21.98
8. 62.8
9.75.36
10. 59.66
11. 84.78
12. 3082.2
I dunno the last one. I probably do but
Hope This Helped!
Is this correct please give correct answer but no links
Answers
Answer:
I give answers I think their correct but as humans we make mistakes so there may be errors
Pls helpppppppppppppppppppppp
Answers
Answer:
Both of them are correct because if we simply the fraction of Edwin we will get the fraction of Tony
[tex] \frac{3}{6} [/tex]
[tex] = \frac{1}{2} [/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
This is because the dice has 6 different sides, which means it has a variation on 6. Since there is only 3 even numbers you could say there is a probability of 3/6. So Edwin is right, but if you simplify 3/6 you get 1/2 so Tony is also right.
Can somebody help me with this?
Answers
Answer:
slope = 4/5
Step-by-step explanation:
Take any two points:
(5, 1) & (10, 5)
The slope
[tex]m=\frac{5-1}{10-5} =\frac{4}{5}[/tex]
Hope this helps
Answer:
4/5 is the slope of the line
which statement is true about credit cards?
Answers
Answer:
it doesnt say any statement at all can you add them
I need help finding the value of x.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
According to given figure,
[tex]\qquad \sf \dashrightarrow \:x + 68 = 174[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 174 - 68[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 106 \degree[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answers
Answer:
The answers are D and then B.
Step-by-step explanation:
The first question asks which team has the youngest members on average. This is easily answered because the "mean" is simply the average of all the ages. Therefore the youngest "mean" age will also have the youngest members on average.
The second question asks what team has the most variability in ages. Range is the difference between the highest and lowest number. Therefore the team with the highest range should, logically, also have the most variability.
1. The sample mean weight of 100 chimpanzees was measured to be 82.4 pounds, with a standard deviation of 12.6 pounds. Using a 1% level of significance, what could we claim about the population mean weight for all chimpanzees so that it will fail to be rejected?
Answers
Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.
The other parameters have values given by:
[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].
We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16162795
Solve for x and round to the nearest tenth for both (please:) )
Answers
Answer:
see explanation
Step-by-step explanation:
using the sine ratio in the right triangle.
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{7}[/tex] ( multiply both sides by 7 )
7 × sin23° = x , then
x ≈ 2.7 ( to the nearest tenth )
----------------------------------------------------
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{27}{17}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{27}{17}[/tex] ) ≈ 57.8° ( to the nearest tenth )
Will mark brainly!!! Please help me with this. Thank you! :)
Can you please explain how you get the answer. I really appreciate it!!!
Answers
Ex. 1 Write an equation in slope-intercept form for the line that passes through (3, 8) and is
perpendicular to the line with equation y = -1/3x+8
Answers
Answer:
Step-by-step explanation:
The line perpendicual to a reference line will have a slope that is the negative inverse of the reference line. In this case, the reference line is y= -(1/3)X+8, with a slope of -(1/3). The negative inverse would be 3. So the new line would have the form:
y = 3x + b
To find b, the y-intercept, use the given point and solve for b:
y = 3x + b
or 8 = 3*3 + b for the point (3,8)
8=9+b
b= -1
Thje equation of the line perpendicualr to the reference line and going through point (3,8) is:
y = 3x - 1
See attached graph.
5510 ÷ 27 with remainder
Answers
Answer:
204, there is no remainder.
Step-by-step explanation:
Answer: 204 Rem 2
Step-by-step explanation: Use long division
Find the digit 5 in each of these numbers.
15.2
3.5
The 5 in 3.5 is 1 place to the right of the 5 in 15.2.
Which sentence correctly compares the values?
Answers
each number has its place on the number line so true
Step-by-step explanation:
and 5 is one place to the left in 15.2
how to find the area of a circle
Answers
A=πr²
where
π -> pi (3.14...)
r - radius
r² means you multiply r times itself
Hope it helps!
Dose anybody know how to solve this problem
Answers
check the transformation template below, hmmm so to get the graph of "y" move to the right by 1 unit, we can simply make C = -1.
[tex]y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0}\qquad \qquad y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{1})+\stackrel{D}{0} \implies y=\log_2(x-1)[/tex]
now, the x-intercept is simply where the graph touches the x-axis, and when that happens y = 0, so
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\leftarrow \textit{let's use this rule} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{y}{0}~~ = ~~\log_2(x-1)\implies 2^0=2^{\log_2(x-1)}\implies 2^0=x-1 \\\\\\ 1=x-1\implies 2=x~\hspace{10em}\stackrel{x-intercept}{(2~~,~~0)}[/tex]
What is the answer to -50 +x<-35
Answers
Answer:
x < 15
Step-by-step explanation:
1) Regroup terms.
⇒ x - 50 < - 35
2) Add 50 to both sides.
x < - 35 + 50
3) Simplify - 35 + 50 to 15.
x < 15
Answer:
x < 15
Step-by-step explanation:
-50 + x < -35
+50 +50
________________
x < 15
Hope this helps :)
Jennie was collecting bugs for a school science project. She measured each one in inches and wrote there lengths below. Which list shows the lengths in order least to greatest?
With work please!
Answers
Answer: A
Step-by-step explanation:
1/2=.5
1/3=.3 repeated
3/18=0.16 6 repeated
No b,c,
1/2>3/18
so a is correct
Please help me with this algebra question please u need help
Answers
[tex] \huge\rightarrow\sin( θ ) = \frac{ - 2 \sqrt{5} }{5} [/tex]
To find↷cos(θ) in IV quadrantAnswer↷[tex] \huge\rightarrow\cos( θ ) = \frac{ \sqrt{5} }{5} [/tex]
Solution↷We know that,
sine is the ratio of adjacent side over the hypotenuse.
[tex] \rightarrow\sin( θ ) = \frac{ - 2 \sqrt{5} }{5} = \frac{adjacent \: side}{hypotenuse} \\ [/tex]
also,
cosine is the ratio of base over the hypotenuse.
[tex]\rightarrow\cos( θ ) = \frac{?}{5} \\ [/tex]
base = √(h²-a²)h= hypotenusea= adjacent side[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{ {5}^{2} - ( - 2\sqrt{ 5} {}^{} ) {}^{2} } }{5} \\ [/tex]
[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{ {5}^{2} - {(2\sqrt{ 5})}^{2} } }{5} \\ [/tex]
[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{25 - 20} }{5} \\ [/tex]
[tex]\rightarrow\cos( θ ) = \frac{ \sqrt{5} }{5} \\ [/tex]
since ,cosine is always positive in the quadrant IV, option 3rd =√5/5 is correct ✓
Note:-
★theta to be used as A
[tex]\\ \rm\Rrightarrow sinA=\dfrac{-2\sqrt{5}}{5}[/tex]
Now
cosA=1-sin²A[tex]\\ \rm\Rrightarrow cosA=\sqrt{1-(dfrac{-2\sqrt{5}}{5})^2}[/tex]
[tex]\\ \rm\Rrightarrow cosA=\sqrt{1-\dfrac{20}{25}}[/tex]
[tex]\\ \rm\Rrightarrow cosA=\sqrt{\dfrac{25-20}{25}}[/tex]
[tex]\\ \rm\Rrightarrow cosA=\dfrac{\sqrt{5}}{5}[/tex]
Option C
