The first term is 3 and the common difference is negative 3. Then the sum of the first 20 terms will be negative 510.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The first term (a₁) = 3 and the common difference (d) = -3. Then the sum of the first 20 terms will be
Sₓ = (x/2) [2a₁ + (x - 1)d]
Then we have
S₂₀ = (20/2) [2 × 3 + (20 - 1)-3]
S₂₀ = 10 [6 + (19)(-3)]
S₂₀ = 10 [6 - 57]
S₂₀ = 10 [51]
S₂₀ = -510
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Given the arithmetic sequence an= -5 + 3(n - 1), what is the domain for n?
Answer:
Domain for n is All integers where n ≥ 1.
Step-by-step explanation:
In arithmetic sequence,
where a is first term.
d is common difference.
n is number of terms.
Now, in given sequence recursive formula for nth term in
the number of term is n and it belongs to natural number.
Hence, domain for n is All integers where n ≥ 1.
Have a wonderful day/night/afternoon and stay safe my friends
Julia works for a company selling light bulbs. She sells fluorescent light bulbs for $5 a piece and incandescent light bulbs for $2. To meet her quota, she needs to sell over 100 light bulbs and make at least $350. If the solution region is the amount of light bulbs Julia needs to sell to meet her quota, which graph's shaded area represents the solution region? A.Y B.W C.Z D.
The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:
x + y > 100 (1)
Also:
2x + 5y ≥ 350 (2)
The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.
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In a linear function, the domain will always be _____ and the range will always be _____
Answer:
1. x values
2. y values
hope it helps you:)
calculate-39 divided by 1/3
Answer:
the answer is 117
sorry if wrong but that is what I got
Step-by-step explanation:
[tex] = - 39 \div \frac{1}{ 3} \\ [/tex]
[tex] = - \frac{39}{1} \times \frac{3}{1} \\ [/tex]
[tex] = - \frac{117}{1} \\ [/tex]
[tex] = - 117 [/tex]
Spend time observing or thinking about events that involve matter and energy. Which events can you explain? Which events can’t you explain? Now answer the following questions.
Part A
Describe three events that you cannot explain.
This is one of the many possible responses:
Different kinds of balls bounce to different heights when dropped on the same floor.
Sugar dissolves faster in hot milk than in cold milk.
Plants grow more slowly when they are not near a window.
Due to the depreciation of the Rand, the import price of a particular raw material
rises from $22 562,25 per tonne to $25 507,59 per tonne. What was the
percentage increase in price (to two decimal places)?
Answer:
13.05%
Step-by-step explanation:
[tex]\begin{aligned}\sf Percentage\:increase &= \sf\dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{25507.59-22562.25}{22562.25} \times 100\\\\& = \sf \dfrac{2945.34}{22562.25} \times 100\\\\& = \sf 0.1305428315 \times 100\\\\& = \sf 13.05 \% \:(2\:dp)\end{aligned}[/tex]
I need help please!
Donkey Kong is rolling cylindrical barrels
of different sizes at Mario.
The RADIUS of the barrel is 6.
What is the circumference of the barrel?
If your answer is correct Mario will clear the barrel.
6
Answer:
see below
Step-by-step explanation:
cicumference= 2*pi*r
=2*(22/7)*6
=(2*22*6)/7
=264/7
=37.71
5. Find the largest difference between a 3-digit number and a 2-digit number.
Answer:
989
Step-by-step explanation:
The largest difference could be possible between Largest 3 digit number and smaller two digit number
I.e,
999-10=989
What is the equation of the graph below? On a coordinate plane, a curve crosses the y-axis at y = 1. It has a maximum of 1 and a minimum of negative 1. It goes through 1 cycle at 5 pi. y = cosine (StartFraction x Over 0.4 EndFraction) y = cos(5x) y = cos(0.4x) y = cosine (StartFraction x Over 5 EndFraction)
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1
Also, the angular frequency = 2π * 1/5π = 0.4
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
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Answer:
C
Step-by-step explanation:
Edge 2022
1 1 x2 - 7x+10
Solve +
by rewriting the equation as a proportion.
2 2x
4x
Which proportion is equivalent to the original
equation?
2x
4x
Ox+2-7-7x+10
x-1_r? - 7x+10
x - 1
x x +1-7
-7x+10
O
2x
4x
o
2x
4x
DONE
Answer:
last one
Step-by-step explanation:
after solving that, i got the same answer from the orginail one:
x=1,x=8
The proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]
What is proportion?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Given is an equation, 1/2 + 1/2x = x²-7x+10 / 4x
We need to determine the proportion equivalent to this,
So, taking the LHS,
1/2 + 1/2x
= 2+2x / 4x
= 2(x+1) / 4x
= x+1 / 2x
Hence, the proportion is equivalent to the original equation is (x+1)/2x = x²-7x+10 / 4x [option c]
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Alguien sabe como conversar en brainly osea, poder conversar con otras personas o no se puede? perdon si pongo matematicas XD
Answer:
Hola, supongo que estás preguntando si hay una forma de conversar con otras personas en privado en Brainly.
Actualmente, no hay forma de conversar en privado con otras personas. Muchas personas conversan en los comentarios de preguntas o respuestas, pero Brainly es un sitio web educativo y le recomendaría que use Brainly solo con fines educativos.
¡Espero que esto te ayude! Que tengas un buen día.
which of the following is(are) the solution(s) to |5x+2|=8
A. x=-2,6/5
B. x=6/5
C. x=2
D. x=2,-6/5
Option A.
Hope it helps.
Answer:
A
Step-by-step explanation:
|5x+2|=8 this mean that:
5x+2=8 and 5x+2=-8
5x+2-2+8-2 and 5x+2-2=8-2
5x=6 and 5x=-10 then divided both sides by 5
x=6/5 and x=-2
Solve 4x+3>3x+7
This one is so confusing
Answer:
x>4
Step-by-step explanation:
Answer:
x > 4
Step-by-step explanation:
1. 4x+3>3x+7
2. x>4
How many triangles can be constructed with three sides measuring 11 meters, 16 meters, and 26 meters?
оо
0 1
O more than one
Answer:
only one.
We can construct onle one triangle with unique measurements.
Answer:
1 triangle can be constructed
Step-by-step explanation:
you have $5600. The best interest rate you can find is 3%
compounded quarterly, for how long should you deposit the money in order
have $9600? how many years
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:
[tex]\frac{A}{P} = (1 + \frac{r}{n})^{nt}[/tex]
Taking logs on both sides
[tex]log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}[/tex]
This gives
[tex]log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}[/tex]
In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years
Create a graph of the distribution with the area corresponding to the previous answer shaded in. Choices for creating a graph include: Excel, Binomial Distribution Calculator (in resources menu), TI-84 (take a pic), hand drawn, other software, websites. Upload your finished graph below. No file chosen
The graph simply shows the distribution with the area corresponding to the information about the lawyer representing a Hispanic individual in a criminal trial.
What is a graph?A graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.
Here, the probability that a juror is hispanic = p = 0.55 and the number of jurors = n =12
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-6 -5(6x-4)
Explain please
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: - 6 - 5(6x - 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 6 - [(5 \cdot6x) - (5 \cdot4)][/tex]
[tex]\qquad \sf \dashrightarrow \: - 6 - (30x - 20)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 6 -30x + 20[/tex]
[tex]\qquad \sf \dashrightarrow \: - 30x + 14[/tex]
I hope you understood the whole procedure ~
The equation whose roots are multiplied by 3 of those of 2x^2 + 3x – 1=0 is
Answer:
I have got the answer
Step-by-step explanation:
Let the roots of 2x² + 3x - 1 = 0 be a and
To find:
The quadratic equation whose roots are 3a
Solution:
See picture attahed
The rest of explanation is given in your previously asked question see there I have also answered it
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
I’m confused can someone help
Answer:
The answer is 20
Step-by-step explanation:
Given;Mariana is the youngest of four siblings.The sum of their ages is 86To Find;Mariana's age.Now, we know that their ages are consecutive integers.
Let their ages be (x), (x + 1), (x + 2) and (x + 3). Where, Mariana's age is x.
Here, The sum of their ages is 86.
(x) + (x + 1) + (x + 2) + (x + 3) = 86
x + x + 1 + x + 2 + x + 3 = 86
4x + 6 = 86
4x + 6 – 6 = 86 – 6
4x = 80
4x/4 = 80/4
x = 20
We assumed that Mariana's age is x and the value of x is 20.
Thus, The age of Mariana is 20.
The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are female?
Using the binomial distribution, it is found that there is a 0.3154 = 31.54% probability that among the students in the sample at least 6 are female.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
The student body of a large university consists of 60% female students, hence p = 0.6.A random sample of 8 students is selected, hence n = 8.The probability that among the students in the sample at least 6 are female is given by:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{8,6}.(0.6)^{6}.(0.4)^{2} = 0.2090[/tex]
[tex]P(X = 7) = C_{8,7}.(0.6)^{7}.(0.4)^{1} = 0.0896[/tex]
[tex]P(X = 8) = C_{8,8}.(0.6)^{8}.(0.4)^{0} = 0.0168[/tex]
Then:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) = 0.2090 + 0.0896 + 0.0168 = 0.3154[/tex]
0.3154 = 31.54% probability that among the students in the sample at least 6 are female.
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Three angles of quadrilateral ABCD have measures 66, 95 and 114. what is the value of x?
When added together the 4 angles need to equal 360
x = 360 -66-95-114
X = 85
What is the volume of the shape this net makes?
Answer:
1388.13
Step-by-step explanation:
So, the formula for a cylinder is V=pi x R^2 x H
We plug in what we know.
V=3.14x4^2x27.63
V=3.14x16x27.63
V=50.24x27.63
V=1388.13
1.2 The following pattern is given: -100,-97; -91;
1.2.1 What is the fifth term for the pattern?
1.2.2 Determine the general rule for the pattern (the nth term)
Brainly 505 Server Error
A teacher bought 12 packets of crayons. Seven of the packets had 9 crayons and the other 5 packets had 10 crayons. How many crayons did the teacher buy in all
Answer:
The teacher bought 113 crayons.
Which whole number is closest to 80 square root
Consider the triangle shown in the picture. Express the perimeter of the triangle as an expression in terms of
x
. Simplify your answer.
Answer:
The perimeter of the triangle is 11x+1
Set up a proportion to help me find the length of the unknown side, the base is 15 the height is 7.
Answer:
This one is just 15+15+7+7 then divide by the preciptical
Step-by-step explanation:
add 15+15+7+7=44/2=22
Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1
*table is given showing Saturn has a semimajor axis (Gm) of 1472 and eccentricity of 0.0560
Answer:
x²/2166784 +y²/2159989 = 1
Step-by-step explanation:
The relationship between the semi-axes and the eccentricity of an ellipse is ...
e = √(1 -b²/a²)
In order to write the desired equation we need to find 'b' from 'e' and 'a'.
__
semi-minor axisSquaring the equation for eccentricity gives ...
e² = 1 -b²/a²
Solving for b², we have ...
b²/a² = 1 -e²
b² = a²(1 -e²)
ellipse equationUsing the given values, we find ...
b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989
The desired equation is ...
x²/2166784 +y²/2159989 = 1
The graph of y=-3x+ 2 is:
go on desmos and see what the graph looks like
Which of the following represents the diameter of the circle below?
Answer:
xy represents the diameter of the circle