Answer:
scalene right
isosceles obtuse
equilateral equilateral
scalene acute
Translate the sentence into an equation.
Eight more than the quotient of a number and 2 is 6.
Use the variable b for the unknown number.
Step-by-step explanation:
8 + b/2 = 6
8 more than the quotient of is 6
a number and 2
Look at the arithmetic pattern shown here.
Select the Hint button to view a hint.
Using the variable n for the term, describe the sequence.
Answer:
[tex]a_{n}[/tex] = 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n
The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.
What is an arithmetic sequence?Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.
Looking at the sequence we can see that the common difference d can be obtained as;
d = S2 - S1
= 20 - 10
= 10
d = S3 - S2
= 30 - 20
= 10
Learn more about arithmetic sequence:https://brainly.com/question/34721740
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Which of the following is a polynomial?
A.
(x - 2)
(x4 +3)
B. X2 - 1
C. A + x 4 + 16
D. 1/x +2
Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. [tex](x-2)(x^{4}+3)[/tex]
B. [tex]x^{2} -1[/tex]
C. A+[tex]x^{4} +16[/tex]
D. [tex]\frac{1}{x} +2[/tex]
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 ([tex]x^{4}[/tex]), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 ([tex]x^{2}[/tex]). It is the same for choice C ([tex]x^{4}[/tex]).
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes [tex]x^{-1} +2[/tex]. Since -1 is less than 1, choice D is not a polynomial.
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto \dfrac{1}{x}+2[/tex]
Simplify
[tex]\\ \sf\longmapsto x^{-1}+2[/tex]
Degree is less than 1 .It's not a polynomial
PLEASE PLEASE HELP ASAP
A group of friends wants to go to the amusement park. They have no more than $280
to spend on parking and admission. Parking is $19.50, and tickets cost $33.75 per
person, including tax. Which inequality can be used to determine p, the maximum
number of people who can go to the amusement park?
Answer:
Step-by-step explanation:
5.25 + 17.75x ≤ 165
17.75x ≤ 159.75
x = 9 people (Assuming they all fit in one vehicle)
Wish You the Best in your Studies.
The number of people who can enter in the amusement park is 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.
Let p be the number of people who can enter in the amusement park. Then the inequality is given as,
33.75p + 19.50 ≤ 280
Simplify the inequality, then the value of p is given as,
33.75p + 19.50 ≤ 280
33.75p ≤ 260.50
p ≤ 7.72
Thus, the number of people who can enter in the amusement park is 7.
More about the inequality link is given below.
https://brainly.com/question/19491153
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brainlest if you answer right.
This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm
I need help please and thank you
Answer:
I believe it's B ............
Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²
Answer:
1. a^4.
2. 9c³.
3. 8z^6.
4. 4b²a.
5. 20q(if the 2 isn't an exponent)
if it is,
20q².
6.x²y².
7. j²k²i.
All the best.
Answer:
Step-by-step explanation:
[tex]1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}[/tex]
B.
E.
20 cm
7 cm
11 cm
-
Find volume
Step-by-step explanation:
The volume of cylinder = [tex]\pi r^{2}h[/tex]
The radius of cylinder = 20 ÷ 2 = 10
The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]
= [tex](22)(100)[/tex] = 2200
please give me a brainliest answer
Answer:
Volume of cylinder = 2,198 cmSolution:
volume of a cylinder = area of base(pi × radius²) × altitude (height)
Volume = πr² × altitude
V = 3.14 × 10² × 7
V = 3.14 × 100 × 7
V = 314 × 7
V = 2,198 cm
I will mark brainiest plz help
Answer:
96
Step-by-step explanation:
The length of the large rectangle is: 5 units
The width of the large rectangle is: 7 units
- > Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7 units
The width of the middle rectangle is: 4 units
- > Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7 units
The width of the small rectangle is: 3 units
- > Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* 1/2(bh) = 4*3 = 12 square units
Then we find the total surface surface area by adding up all of these
- > 35 + 28 + 21 + 12 = 96 square units
Point S lies on AB. If AB = 34 units, AS = 5 + 2x units, and SB = x + 2 units, what is the length of AS in units?
Enter the correct answer in the box.
units
Answer:
AS=9
Step-by-step explanation:
Q is a degree 5 polynomial that passes through the origin, has zeros i and 7 - i, and q(-1)= -520. find the equation for q
Using the factor theorem, the equation for q is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, ..., x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
Passes through the origin, so x = 0 is a zero, that is [tex]x_1 = 0[/tex].x = i is a zero, and thus, it's conjugate also is, that is, x = -i, hence [tex]x_2 = i, x_3 = -i[/tex]x = 7 - i is a zero, and thus, it's conjugate also is, that is, x = 7 + i, hence [tex]x_4 = 7 - i, x_3 = 7 + i[/tex]Then, the equation is:
[tex]q(x) = a(x - 0)(x - i)(x + i)(x - 7 + i)(x - 7 - i)[/tex]
[tex]q(x) = ax(x^2 - i^2)((x-7)^2 - i^2)[/tex]
Considering that [tex]i^2 = -1[/tex]
[tex]q(x) = ax(x^2 + 1)(x^2 - 14x + 50)[/tex]
[tex]q(x) = ax(x^4 - 14x^3 + 51x^2 - 14x + 50)[/tex]
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
q(-1) = -520 means that when [tex]x = -1, q = -520[/tex], and this is used to find a.
[tex]q(x) = a(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
[tex]-520 = a(-1 - 14 - 51 - 14 - 50)[/tex]
[tex]130a = 520[/tex]
[tex]a = \frac{520}{130}[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]q(x) = 4(x^5 - 14x^4 + 51x^3 - 14x^2 + 50x)[/tex]
A similar problem is given at https://brainly.com/question/24380382
Multiply out and simplify:
(3x + 4) (2x - 1)
Answer:
6x²+5x-4
Step-by-step explanation:
[tex](3x+4)(2x-1)\\=6x^2-3x+8x-4\\=6x^2+5x-4[/tex]
Answer:
[tex]6x^{2}+5x-4[/tex]
Step-by-step explanation:
Apply the distributive property
[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
Therefore,
[tex](3x+4)(2x-1)=3x*2x+3x(-1)+4*2x+4(-1)[/tex]
[tex](3x+4)(2x-1)=6x^{2} +5x-4[/tex]
Edward buys a bicycle online for 254.75$ if shipping and handling are an additional 24% of the price how much shipping and handiling will Edward pay
Answer:
24% of (254.75 US$) =
61.14 US$
Step-by-step explanation:
Answer:
61.14$.
Step-by-step explanation:
24% = 0.24.
254.75 * 0.24
= 61.14$.
Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.
Answer:
r+51 peppers
Step-by-step explanation:
tan9°. tan27°. tan45°. tan72°. tan81°= 1
could u plz solve it with clear process
Correct question:-
Prove that tan9.tan17.tan45.tan73.tan81=1
LHS
[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]
[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]
[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]
[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]
[tex]\\ \sf\longmapsto 1.1[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Range is how far a graph goes up and down.
How far with the graph f(x) = In x go to the go down?
Hint: (Zoom in and out and move graph to the down.)
a. 4
b. just above 0
c. infinity
explain your thinking
Answer:
c
Step-by-step explanation:
136 is 0.8% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 136, slightly less than 136, slightly greater than 136, or a lot greater than 136? Explain.
this maths question i don’t really understand
Answer:
I think it is straight forward, u just have to solve the problem
Step-by-step explanation:
so 35 x 586= 20510
3.5 x 5860=20510
36 x 586=21096
70 x 586=41020
A mars rover traveled from point a to point b at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5cm/sec and increased the travel time by 15 minutes. what is the distance between point a and point b?
Answer:
60
Step-by-step explanation:
time * speed
in seconds 60x *4 = 2.5(60x + 900)
x= 25
25 min * 4cm/2
distance = 60 meters
CHEck!!!
Using a system of linear equations, the distance between points A and B is 6000 cm
Initial speed = 4cm/secTime taken = Distance / speed
Let ; distance = d
To time :
t = d / 44t = d ______(1)Fro time :
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
2.5t + 2250 = d ______(2)
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : https://brainly.com/question/14000187
Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT
exam have a N(μ = 500,σ = 100) distribution. Suppose Xiaoyu got a 27 on the ACT
exam, while Emily got a 720 on the SAT exam. Who has the higher relative score? Why?
Answer:
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
Step-by-step explanation:
Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.
Xiaoyu:
z = [tex]\frac{27 - 18}{6}[/tex] = 1.5
Emily:
z = [tex]\frac{720 - 500}{100}[/tex] = 2.2
______
Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.
If the chick grows at a rate of 4.8 grams/day and weighs 53.8 grams on day 4, how much did the chick weigh (in grams) the day it hatched?
Answer:
Step-by-step explanation:
y = 4.8x + C
53.8 = 4.8(4) + C
53.8 = 19.2 + C
C = 34.6
hii i need help! write the inequality represented by the graph below.
What is the slope of this line?
Answer:
Slope = 2
Step-by-step explanation:
(x₁ , y₁) = ( 1 , 1) & (x₂,y₂) = (-1,-3)
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]
write 7/571 as a mixed number!
Answer:
It is a proper fraction so it cannot be written as a mixed number.
Step-by-step explanation:
HELP PLEaseeeeeeeeeeeee thank youi
Answer:
d=4.5t
Step-by-step explanation:
in two hours, Francine went 9 miles
9/2=4.5
the distance equals 4.5 times each cycling time.
d=4.5t
5 raised by 2- 5 (68-60)=
(with explanation plz)
Step-by-step explanation:
2-5(68-60)=2-5×8=2-40=38
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
(Show your work)
Answer:
15.5 because you have to take away some point
Step-by-step explanation:
you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5
_______
[tex] \: [/tex]
x² = (15.8)² - (5.3)²
x² = 249.64 - 28.09
x² = 221.55
x = √221.55
x ≈ 15
PLEASE HELP THANK YOU AND HAVE A GOOD DAY!
Answer:c
Step-by-step explanation:c because u gotta look closwely
c