Answer: A. 30 students in the lunchroom.
Step-by-step explanation:
A representative sample simply refers to the sample that has same characteristics just like the population.
A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".
When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.
Answer:
30 students in the lunchroom
Step-by-step explanation:
Got it right on the test.
Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?
4 m squared + 25 n squared; a perfect square trinomial
4 m squared + 25 n squared; the difference of squares
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
4 m squared minus 20 m n + 25 n squared; the difference of squares
Answer:
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
Step-by-step explanation:
(-2m+5n)(-2m+5n)
4[tex]m^{2}[/tex]-20mn+25[tex]n^{2}[/tex]
By expanding the given expression, we conclude that the equivalent expression will be the perfect square trinomial:
4m^2 + 20m*n + 25n^2
How to get an equivalent expression to the given binomial?We have a polynomial given by the expression:
(2m + 5n)^2
If we expand the binomial (binomial means that it hastwo terms), we will get:
(2m)^2 + 2*(2m)*(5n) + (5n)^2
= 4m^2 + 20m*n + 25n^2
This is a perfect square trinomial (trinomial because has 3 terms and perfect square because is the square of a binomial).
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886
A couple purchased a home and signed a mortgage contract for $900,000 to be paid with half-yearly payments over a 25-year period. The interest rate applicable is j2=5.5% p.a applicable for the first five years, with the condition that the interest rate will be increased by 12% every 5 years for the remaining term of the loan.
a) Calculate the half-yearly payment required for each five-year interval
Did you manage to solve it?
Find the area of a triangle ABC when measure B = 56 degrees, a = 10 inches, and c = 7 inches.
(2 1
2
-
4
-
5
) ÷
3
-
4
Answer:
[tex]63\frac{6}{9}[/tex]
Step-by-step explanation:
[tex](212-4-5)[/tex] ÷ [tex]3-4=[/tex]
[tex]203[/tex] ÷ [tex]3-4=[/tex]
[tex]67\frac{6}{9}-4=[/tex]
[tex]=63\frac{6}{9}[/tex]
Hope this helps
y varies inversely as x. y=3 when x=10. Use the variation constant and inverse variation equation to find y when x=6.
Do not type y= in your answer.
Answer:
5
Step-by-step explanation:
Given :
Y α 1/x
Y = k/x
Where, k = constant of proportionality ;
y = 3 ; x = 10
3 = k / 10
k = 10 * 3
k = 30
Equation becomes :
Y = 30/x
Y =? ; when x = 6
Y = 30 / 6
Y = 5
HELP HELP HELP!!!!!!!!!!!!!!!!!!!
Answer: the top one
Step-by-step explanation:
If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]
Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
I need help with this
Answer:
Step-by-step explanation:
It was confusing
Which statement or inequalities describe the number line graph?
Answer:
Step-by-step explanation:
( - ∞ , - 3 ) ∪ [ - 1 , ∞ )
Do these ordered pairs represent a function?
(0, 1), (0, 2), (2,3), (4,8)
Answer:
No
Step-by-step explanation:
To be a function, each input can only go to one output
0 goes to 1 and 2 so it cannot be a functions
Three rectangular prisms each have a height of 1 cm.
. Prism A has a base that is 1 cm by 11 cm
* Prism B has a base that is 2 cm by 7 cm SA +V
Prism C has a base that is 3 cm by 5 cm.
1. Find the surface area and volume of each prism. Use the dot paper to draw the prisms, if needed.
Answer:
A: SA = 46 cm^2; V = 11 cm^3
B: SA = 46 cm^2; V = 14 cm^3
C: SA = 46 cm^2; V = 15 cm^3
Step-by-step explanation:
SA = 2B + PH = 2LW + PH
where SA = total surface area,
B = area of a base
P = perimeter of the base
H = height of the prism
L = length of the base
W = width of the base
V = LWH
Prism A:
SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)
SA = 46 cm^2
V = (11 cm)(1 cm)(1 cm) = 11 cm^3
Prism B:
SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)
SA = 46 cm^2
V = (7 cm)(2 cm)(1 cm) = 14 cm^3
Prism C:
SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)
SA = 46 cm^2
V = (5 cm)(3 cm)(1 cm) = 15 cm^3
What is the reciprocal of 8 2/5
Answer:
8 and 2/5 is 42/5 and its reciprocal is 5/42
Step-by-step explanation:
[tex]Reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42} [/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]8 \frac{2}{5} \\ \\ = \frac{42}{5} [/tex]
[tex]Hence, \:the\: reciprocal \: of \: \frac{42}{5} \: is \: \frac{5}{42}.[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
1.33
Step-by-step explanation:
so mean is the average
so what you have to do is add the numbers for each person and then divide by the amount of numbers present. the question is asking for the difference so subtract the numbers for each from person.
mia's mean= 34.33
sophia's mean= 35.667
sophia-mia= 1.33
(check my work, and if you need help just comment)
HELP PLSSS I WILL GIVE YOU BRAINLYEST
i suck at math this is easy
OPTION C is the correct answer.
needed help here
1. If m angle 2 =58°and m angle 3 =52° then m angle 4=_
2. If m angle 4 =125°and m angle 2 =64° then m angle 3=_
3. If m angle 3 =50°and m angle 5=108° then m angle 1=_
4. If m angle 1=53° and m angle 3 =88° then m angle 5=_
5. If m angle 6 =125°and m angle 1=
59° then m angle 2=_
Help please this question is hard!
9514 1404 393
Answer:
B, C, A, D
Step-by-step explanation:
The depths are easier to compare if they are all in the same form. Here, it is convenient to use decimal numbers rounded to hundredths. Your calculator can help with the fractions if you are not familiar with decimal equivalents.
A: -1.6 m = -1.60 m
B: -4/3 m ≈ -1.33 m
C: -1.36m = -1.36 m
D: -17/9 m ≈ -1.89 m
Then the least deep site is the one with the depth number closest to 0.
In order from least to greatest depth, the sites are ...
B (-1.33) > C (-1.36) > A (-1.60) > D (-1.89)
Answer:
yeah
Step-by-step explanation:
The 8th term of an arithmetic sequence is 3 and the 100th term is 49. What is the recursive formula for the sequence?
Answer:
uₙ₊₁ = uₙ + ¹/₂
Step-by-step explanation:
uₙ₊₁ = uₙ + d
u₈ = 3
u₁₀₀ = 49
We can establish the following:
u₉ = 3 + d
u₁₀ = (3 + d) + d = 3 + 2d
u₁₁ = (3 + 2d) + d = 3 + 3d
so...
u₈₊ₐ = 3 + ad
u₁₀₀ = u₈₊₉₂ = 3 + 92d
3 + 92d = 49
92d = 46
d = ¹/₂
∴ uₙ₊₁ = uₙ + ¹/₂
When looking at y = mx + b, y = b and x =a, explain how:
(a) Changing m affects the line.
(b) Changing b affects the line.
Free question answer for points. If its correct ill mark brainliest
Answer:
[tex]14. \\841\rightarrow 800\\\\15.\\750[/tex]
Step-by-step explanation:
14:
Round the highest place means keeping the farther non-zero digit to the left, then rounding. Therefore, there should only be one non-zero digit in our final answer. The only answer choice that follows this and correctly rounds is [tex]\boxed{841\rightarrow 800}[/tex]
15:
There are 30 days in November. Therefore, the number of pages typed is equal to [tex]30\cdot 25=\boxed{750}[/tex]
Answer:
.
Step-by-step explanation:
3 consecutive integers have a sum of 27. What are the integers?
Answer:
8,9,10
Step-by-step explanation:
Let x be the first integer
x+1 is the next consecutive integer
x+2 is the third consecutive integer
The sum is 27
x + (x+1) + (x+2) = 27
Combine like terms
3x+3 = 27
Subtract 3 from each side
3x+3-3 =27-3
3x =24
Divide by 3
3x/3 = 24/3
x=8
The integers are
x=8
x+1 =9
X+2 =10
what is the end behavior of function h(x)=-4x^2+11
Answer:
[tex]-4x^{2} +11[/tex] is a parabola. The coefficient in front of the highest term (-4 in front of the [tex]x^{2}[/tex]) is negative, meaning both of the ends go towards negative infinity (point downward). So, as x approaches positive or negative infinity, y approaches negative infinity.
The end behavior of the function is being divergent for [tex]x \to \pm \infty[/tex].
According to theory of limits and differential calculus, all polynomial functions are continuous and differentiable function with no limits for [tex]x \to \pm \infty[/tex]. Therefore, we can conclude that function [tex]h(x) = -4\cdot x^{2}+11[/tex] diverges to [tex]-\infty[/tex] for [tex]x > 0[/tex] or [tex]x < 0[/tex].
That is,
[tex]x \to +\infty[/tex]
[tex]\lim_{x \to +\infty} -4\cdot x^{2} + 11 = -4 \cdot \lim_{x \to +\infty} x^{2} + \lim_{x \to +\infty} 11[/tex]
[tex]\lim_{x \to +\infty} -4\cdot x^{2} + 11 = N.E. + 11[/tex]
[tex]\lim_{x \to +\infty} -4\cdot x^{2} + 11 = N.E.[/tex]
[tex]x \to -\infty[/tex]
[tex]\lim_{x \to -\infty} -4\cdot x^{2} + 11 = -4 \cdot \lim_{x \to -\infty} x^{2} + \lim_{x \to -\infty} 11[/tex]
[tex]\lim_{x \to -\infty} -4\cdot x^{2} + 11 = N.E. + 11[/tex]
[tex]\lim_{x \to -\infty} -4\cdot x^{2} + 11 = N.E.[/tex]
Hence, the end behavior of the function is being divergent for [tex]x \to \pm \infty[/tex].
We kindly invite you to check this question related to limits: https://brainly.com/question/12383180
112 1/2 as a decimal
Answer:
[tex] \frac{1}{2} \: as \: a \: decimal = \\ 0.5[/tex]
Step-by-step explanation:
thats the answer
The decimal form, the mixed fraction can be written as 112.5.
To find out mixed fraction in the form of decimal.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
The mixed fraction is a fraction whose nominator is greater than its denominator or improper fraction is a fraction in which the denominator is always less than the numerator.
112 1/2
= (2 x 112 + 1)/2
= (224 + 1)/2
= 225/2
To divide the 225 by 2 ,we get
=112.5
So, the decimal form, the mixed fraction can be written as 112.5
Learn more about fraction here:
https://brainly.com/question/24092047
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i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
sin x = a/b
cos x = c/b
tan x = a/c
Answer:
sin x = a/b
cos x = c/b
tan x = a/c
Step-by-step explanation:
We know,
sin(θ) = Opposite / Hypotenusecos(θ) = Adjacent / Hypotenusetan(θ) = Opposite / AdjacentSo, in this right triangle, the opposite is a
" hypotenuse is b
" adjacent is c
So, sin x = a/b
cos x = c/b
tan x = a/c
Consider the polynomial 16x2 – 1.
What is the value of ac?
What is the value of b?
What two numbers multiply to get ac and add to get b?
The factored form of 16x2 – 1 is
9514 1404 393
Answer:
ac = -16b = 0-4, 4(4x -1)(4x +1)Step-by-step explanation:
a) ac is the product of the leading coefficient (16) and the constant (-1).
ac = (16)(-1) = -16
__
b) b is the coefficient of x. There is no x term, so ...
b = 0
__
c) Two factors that add to give zero must be opposites. That is, they must be the square root of the opposite of -16, and the opposite of that.
the two numbers are -4 and 4
__
d) The factored form for the two numbers p and q just found is ...
ax^2 +bx +c = (ax +p)(ax +q)/a
= (16x -4)(16x +4)/16
= (4x -1)(4x +1) . . . . factored form of 16x^2 -1
Answer:
Consider the polynomial 16x2 – 1.
*) What is the value of ac?
–16
**) What is the value of b?
0
***) What two numbers multiply to get ac and add to get b?
–4 and 4
****) The factored form of 16x2 – 1 is
(4x– 1)(4x+ 1)
.
Step-by-step explanation:
Edge 2021
C Clodi Que Significan las siglas SGR?
Answer:
Es el acronimo de la (Contraloría General de la República
Step-by-step explanation:
Espero ayudarte suerte
Significado de SGR. El significado de la sigla SGR es el acrónimo de Sociedades de Garantía Recíproca. El significado de la sigla SGR es el acrónimo de sociedad de garantía recíproca y pertenece a la categoría Europa. El significado de la sigla SGR es el acrónimo de Sociedad de Garantías Recíprocas.
Please help me figure this out. No links
Answer
x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]
Step-by-step explanation:
x.1,2=[tex]\frac{-(-2)+ \sqrt{(-2)^2-4.1(-1)} }{2.1}[/tex]
apply rule -(-a)=a
[tex]\sqrt{(-2)^2+4.1.1}[/tex]
[tex]x1,2=\frac{-(-2)+2\sqrt{2} }{2.1}[/tex]
x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]
Help me out thank u
9514 1404 393
Answer:
(a) 145
Step-by-step explanation:
The measure of the angle marked x° is half the sum of the intercepted arcs:
(90° +200°)/2 = x° = 145°
The Hamilton’s are installing a new pool in their backyard .The scale drawing below represents the new pool,where 1 centimeter represents 5 feet.
Find the limit of the function algebraically. Lim=-5 x^2-25/x+5
Answer:
[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5}[/tex]
Step 2: Evaluate
Factor: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = \lim_{x \to 5} \frac{(x - 5)(x + 5)}{x + 5}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = \lim_{x \to 5} x - 5[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 5 - 5[/tex]Simplify: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Which of the following statements represents a correct relationship?
300 < 30
547 > 574
20,007 < 20,070
6,050 = 6,060