According to the situation described, we have that:
a) The arithmetic sequence that gives the number of seats in the nth row is given by:
[tex]a_n = 24 + 7n[/tex]
b) The 38th row has 290 seats.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Item a:
The first row has 31 seats, the second has 38, the third has 45 and so on, hence:
It is an arithmetic sequence.The common difference is d = 7.The first term is [tex]a_1 = 31[/tex].Then, the rule is:
[tex]a_n = a_1 + (n - 1)d[/tex]
[tex]a_n = 31 + 7(n - 1)[/tex]
[tex]a_n = 24 + 7n[/tex]
Item b:
This is the nth row, for which [tex]a_n = 290[/tex], hence:
[tex]a_n = 24 + 7n[/tex]
[tex]290 = 24 + 7n[/tex]
[tex]7n = 266[/tex]
[tex]n = \frac{266}{7}[/tex]
[tex]n = 38[/tex]
The 38th row has 290 seats.
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What are the domain and range of the function f(x) = -log(5-x)+92
O domain: x <5
range: 129
O domain: x <5
range: (-0.00)
O domain: x29
range:
(-0.00)
domain: 29
range: y29
Answer:
Second Option
Step-by-step explanation:
The argument of the log must be greater than zero so
[tex]5 - x > 0[/tex]
[tex] -x > - 5[/tex]
[tex]x < 5[/tex]
So our domain is All Reals less than 5.
The range of log function is all reals so the answer is -oo, oo).
So the second option is the answer.
A. 74
B. 57
C. 50
D. 124
find the value of x
The value of x for the given circle will be going to be 50°.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In another meaning, a circle is a geometrical figure whose shape is just like round wheel.
In our daily life, we always see circle objects for example our bike wheel.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Angles of Intersecting Chords Theorem;
When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
So angle x = (60° + 40°)/2 = 50° hence it will be correct answer.
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Zoey drives her car 60 miles per hour on the highway. Write an
equation that relates her distance traveled (d) to the time elapsed (t).
Answer d=t*v
Step-by-step explanation: the distance is the time spent times 60 miles per hour.
HELP IM DESPRITE
Which statements represent the inequality 75+10x≥350 written as a real-world problem?
Select each correct answer.
Oliver can spend no more than $350 at the store on a school supplies. The tablet is $75 and each book costs $10. How many books can Oliver buy?
Riley wants to save at least $350. She earns $10 each week walking dogs. She has $75 saved. How many weeks will Riley need to walk dogs?
Elijah would like to have at least $350 to take on vacation for spending money. He already saved $75 and plans to save $10 per week from his weekly paycheck. When will Elijah have enough money to go on vacation?
Zoe earns $10 per hour babysitting. She has saved $75. How many hours of babysitting will she need to save at most $350?
The statements that describe the given inequality are as follows:
Riley wants to save at least $350. She earns $10 each week walking dogs. She has $75 saved. How many weeks will Riley need to walk dogs?Elijah would like to have at least $350 to take on vacation for spending money. He already saved $75 and plans to save $10 per week from his weekly paycheck. When will Elijah have enough money to go on vacation?What is the inequality and it's meaning?The inequality is given by:
[tex]10x + 75 \geq 350[/tex]
It means that the sum of a fixed amount of 75 plus a variable amount of 10 has to be of at least 350.
Hence, the 2nd and the 3rd options are correct.
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During an experiment, the temperature of a solution changes from 9 4/5°F to 17 1/4°F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth.
I NEED HELP ASAP
50 points will mark brainlest
Answer:
15% per second
Step-by-step explanation:
If you subtract 9 from 17 you get 16 subtract one from that and you get 15.
What is 5 1/2 +2 1/7 due in one hour help please
Answer:
7 9/14
Step-by-step explanation:
1/2=7/14
1/7=2/14
7/14+2/14=9/14
5+2=7
Answer:
7.64285714286
Step-by-step explanation:
You may not need all those numbers so your answer may be 7.64 or something near it, but that is the approximate answer.
helppppppppppppp plsssssssssssssssss
Answer:
PQR = 40
QNP = 60
Step-by-step explanation:
PQR = 180 - (60 + 80)
QNP = 180 - (40 + 80)
whats a quarter of 31.06?
whats half of 31.06?
Answer:
A quarter of 31.06 is 7.65
A half of 31.06 is 15.53
Step-by-step explanation:
Need Help now plzzz I´m stuck
Answer:
the answer is 908. You need to compare the sides.
16 in x 20 in= 320 in
42in x 14 in = 588
all together it's 908
Answer:
I think the answer is 1108
Step-by-step explanation:
Area1 = 26in × 20in =520^2
Area2 = 42in × 14in =588in^2
total area = 1108in^2
Evaluate the expression when x=3 and y=5 2xy
Answer:
30
Step-by-step explanation:
Substitute for x and y
2 x 3 x 5 = 6 x 5 = 30
I hope this helped and please mark mark me as brainliest!
Terry walks 1/4 mile each morning
and 2/4 mile each afternoon. How far does Terry walk in 3 days? Draw bar diagrams and write equations to solve
the problem
Answer:
1 1/2
Step-by-step explanation:
To solve this problem, we need to find how many miles Terry walks in one day. Then, we can multiply by 3 to find how far she walks in three days.
One day |
We need to add how much she walks in both the morning and afternoon. 1/4 + 2/4 = 3/4 miles.
Three days |
Now that we know how much Terry walks in one day, we need to find how much she walks in three days. Multiple by 3 to solve this.
3/4 * 3 = 6/4 = 3/2
You can write 3/2 as an improper fraction: 1 1/2.
---------------------------
I hope this was helpful! Have a good day!
given the point (0,7) determine the points that are symmetric to this point with respect to the axis, and the origin respectively.
1. Observe Problem
It can be flipped on the x axis and y axis
so, Flipped on the x axis, it becomes:
(0,-7)So, flipped on the y axis, it becomes:
(0,7)Which is the same thing
2. Which equation demonstrates the identity property of multiplication?
5/5 x 8 =
1/5x 8 =
3/5x 8 =
5/1 x 8 =
Answer
5/5 x 8 =
Step-by-step explanation:
a fraction with the same number as the denomenator and numerator is the same no matter what it is multiplied by
If 2sin theta = √3, (0° < theta <90° ), then find the value of theta
[tex]2sin(\theta )+\sqrt{3}=0\implies 2sin(\theta )=-\sqrt{3}\implies sin(\theta )=-\cfrac{\sqrt{3}}{2} \\\\\\ sin^{-1}\left[ sin(\theta ) \right]=sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right) \implies \theta =sin^{-1}\left( -\cfrac{\sqrt{3}}{2} \right)\implies \theta \begin{cases} \stackrel{III~Quadrant}{\frac{4\pi }{3}}\\\\ \stackrel{IV~Quadrant}{\frac{5\pi }{3}} \end{cases}[/tex]
check your Unit Circle.
[tex]-1/4 +3/4a= -(-7/4a-1)[/tex]
[tex]-\frac{1}{4}+\frac{3}{4}a=-\left(-\frac{7}{4}a-1 \right)[/tex]
Multiplying both sides by 4,
[tex]-1+3a=-(-7a-4)\\\\-1+3a=7a+4\\\\-1=4a+4\\\\-5=4a\\ \\ a=\boxed{-1.25}[/tex]
wath? is 300-100 do it good
Answer:
it's 200
Step-by-step explanation:
that's it's thats the anwrt
Answer:
200
Step-by-step explanation:
[tex]300 - 100[/tex]
[tex]subtract ~the~ hundreds~ digit, 3 ~minus ~1, ~which ~ is ~ 2[/tex][tex]subtract ~the~ tens~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]
[tex]subtract ~the~ units~ digit, 0 ~minus ~0, ~which ~ is ~ 0[/tex]
[tex]put~it~back~into~its~place~value[/tex]
[tex]300~minus~100~is~ 2 ~0~ 0, 200[/tex]
Which combined inequality has the same solution set shown in the graph of x?
Answer:
C. - 3 < x ≤ - 1Step-by-step explanation:
The graph is showing the interval between - 3 and - 1, the first point has open circle but the second one has closed circle.
The solution is:
- 3 < x ≤ - 1Correct choice is C
Find the area please help
The following graph shows a seventh-degree polynomial:
Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.
Answer:
Part 1:
-5, a multiplicity of 2
-1, a multiplicity of 1
4, a multiplicity of 3
7, a multiplicity of 1
Part 2: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex]
Step-by-step explanation:
This question has to be done visually, and can is a little tricky, because depending on the way the graph intercepts the x-axis, there is going to be a different number of roots.
The roots are represented by the intersection of the function with the x-axis.
To start, take a look at the point [tex](-5,0)\\[/tex], which intercepts the x-axis like a parabola(quadratic function). This means that -5 is a "double root" of the function, or it represents two roots of the function.
Now look at the point [tex](-1,0)\\[/tex], which intercepts the x-axis in a linear way, meaning that -1 is simply a "single-root" of the function, or it only represents one root.
So for the next root, look at [tex](4,0)[/tex], which intercepts the x-axis like a cubic function. This means that 4 is is a "triple-root" of the function, and represents 3 roots of the function.
And finally, we have one final interception at [tex](7,0)\\[/tex], and the interception is in a linear form, meaning 7 is simply a "single-root" to the function, or it only represents one root.
So we can conclude that the following are roots with their respective multiplicities
-5, a multiplicity of 2
-1, a multiplicity of 1
4, a multiplicity of 3
7, a multiplicity of 1
And totally, 2+1+3+1 gives us 7, which supports our answer because we know this is a seventh-degree polynomial.(1)
Now for Part 2
We simply take each root, and subtract it from x in our function, then apply our multiplicity as the exponent
So the function would be: [tex]f(x)=(x+5)^2(x+1)(x-4)^3(x-7)[/tex](2)
Hope this helps.
Subtract the following Polynomials.
1. 10x²y–5x²y=
2. -3x–(5x)–(-2x)=
[tex]1. \: \: 10 {x}^{2} y - 5 {x}^{2} y = 5 {x}^{2} y \\ 2. \: \: - 3 x - (5x) - ( - 2x) \\ \: \: - 3x - 5x + 2x = \\ \: \: - 8x + 2x = - 6x[/tex]
Hope this helps :)
Answer:
(a)
10x²y–5x²y 5x²y(b)
-3x– (5x)– (-2x) -3x -5x +2x apply : [ ( - (-a) ) = +a ] -6xadd similar elements together; simplify.
The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?
a 5 inches
b 6.7 inches
c 7.8 inches
d 61 inches
Rodney chose b as the correct answer. how did he get that answer
Answer: C
Step-by-step explanation:
We can use the 3D pythagorean theorem.
This gives us sqrt(3^2 + 4^2 + 6^2) = sqrt(61), which is about 7.8
As to how he got B, I don't know.
Simplify.
7-^8 x 7-^4
A. 1/7^4
B. 7^12
C. 1/7^12
D. 7^32
Answer:
C
Step-by-step explanation:
7^-8 x 7^-4 = 7^(-8-4) = 7^(-12) = (1/7)^12 = 1/7^12
Find the x - and y -intercepts of the graph of the linear equation -x+8y=4 .
The x -intercept is
.
The y -intercept is
.
Answer:
the x -intercept is
Step-by-step explanation:
-x+8y=4
circle the expressions that give the same product as 5 x 3/7
The product of expressions is gotten by multiplying the expressions
The expression that give the same product as 5 * 3/7 is 3 * 5/7
How to determine the productThe product expression is given as:
5 * 3/7
Evaluate the product
5 * 3/7 = 15/7
Express 15 as the product of 3 and 5.
So, we have:
5 * 3/7 = 3 * 5/7
Hence, the expression that give the same product as 5 * 3/7 is 3 * 5/7
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For what values of x is x-2/x(x+2) $1 $2
Answer:
Step-by-step explanation:
What does $1$2 mean?
TRUE OR FALSE
1.The rule applied in equation a2 + a5 = a7 is product rule
2.The product of a and a is 2a.
3.To solve the expression (2a)3, product rule should be applied?
4.The product of -3 and 9x is -27x
5.We can NOT multiply polynomials if the terms are not similar.
6.We can multiply polynomials even if the terms are not similar.
7.The product of 5x and (2x +2) has two terms.
8.In sovling the expression 4x(2x + 2), using power rule is the first step.
9.The product of -2a and -10a9 is -20a10
10.To solve the expression (3a3)9, power rule should be applied.
1. True
2. False
3. False
4. True
5. False
6. True
7. True
8. False
9. True
10. True
what is plane geometry & similarity homework 2 answers? ik this is cheezy to ask
Geometry and Similarity both
What is the value of 0.5^2 + (3/5)^2
please say the answer quickly
Answer:
0.61
Step-by-step explanation:
(5/10)^2+(3/5)^2
(25/100)+(9/25)
25/100 + 9*4/25*4
25/100 + 36/100
61/100
0.61
C. Determine if the statement suggests undefined term, defined term, axlom/postulate, theorem.
_____1.Money can't buy happiness.
_____2. Things that coincide with one another are equal to one another.
_____3. Collinear points are points on the same line.
_____4. The sum of the measures of the 3 interior angles of a triangle is 180°.
_____5. Margie supports her answer with a statement that includes ideas about planes. _____6. O is a natural number.
_____7. In his two-column proof, he was able to prove that the statement is true.
_____8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. _____9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent.
_____10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments.
The statement suggests undefined term, defined term, axlom/postulate, theorem are given below.
What are postulates?Postulates are ideas suggested or accepted as a basic principle before a further idea is formed or developed from it.
Undefined Terms refers to those terms which usually do not require any formal definition.
1. Money can't buy happiness. undefined term
2. Things that coincide with one another are equal to one another. Postulates
3. Collinear points are points on the same line. Postulates
4. The sum of the measures of the 3 interior angles of a triangle is 180°. theorem
5. Margie supports her answer with a statement that includes ideas about planes. undefined term
6. O is a natural number. defined term
7. In his two-column proof, he was able to prove that the statement is true. defined term
8. Margie uses the GPS of her android phone to locate Gaisano Capital Danao while on her way there. The GPS shows a red dot. to represent the location of Gaisano Capital Danao. undefined term
9. If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent. postulate
10. A triangle is a 3-sided plane figure whose sides are formed by 3 line segments. postulate
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Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-1,8) and (-8,6)
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
distance = [tex]\sqrt{((-1)-(-8))^2+(8-6)^2}=\sqrt{49+4}=\sqrt{53}[/tex]