Answer:
Arithmetic and divergent sequence.
Step-by-step explanation:
We have been given a sequence:
[tex]a_n=4,\frac{10}{3},\frac{8}{3},2...[/tex]
Arithmetic sequence: It is the sequence in which the difference (known as common difference) between consecutive terms is same
Formula for difference: [tex]d=a_n-a_{n-1}[/tex]
Geometric sequence: It is the sequence in which the ratio (known as common ration) between consecutive terms is same.
Formula for ratio: [tex]\frac{a_n}{a_{n-1}}[/tex]
Here, we will first check the common difference
[tex]d=\frac{10}{3}-4=\frac{-2}{3}[/tex]
[tex]\frac{8}{3}-\frac{10}{3}=\frac{-2}{3}[/tex]
[tex]2-\frac{8}{3}=\frac{-2}{3}[/tex]
Hence, we are getting common difference therefore it is an arithmetic sequence.
Arithmetic sequence always diverges
And given sequence being arithmetic will diverge.
Answer:
Arithmetic and divergent sequence.
Step-by-step explanation:
Which equation is a point slope form equation for line AB?
a) y−2=−2(x+6)
b) y−2=−2(x+2)
c) y−6=−2(x+2)
d) y−2=2(x+2)
Answer:
the answer is c
Step-by-step explanation:
Answer:
c) y−6=−2(x+2)
Step-by-step explanation:
The general point slope form equation is:
y - y1 = m*(x - x1)
where x and y are the variables, (x1, y1) is the coordinate of a point on the line and m is the slope of the line.
To calculate the slope of the line we need two points on the line (x1, y1) and (x2, y2) and the following equation:
m = (y2 - y1)/(x2- x1)
Coordinates of point A: (-2, 6)
Coordinates of point B: (2, -2)
Replacing into the equation:
m = (6 - (-2))/(-2 - 2)
m = 8/(-4)
m = -2
Replacing this value and coordinate of point A into the general point slope equation we get:
y - 6 = -2*(x - (-2))
y - 6 = -2*(x + 2)
Dan wants to make 12 pancakes but what quantity of each ingredient should he use for 240g plain flour,2 eggs and 600ml milk?
To make 12 pancakes, Dan should use 20g of plain flour, 2 eggs, and 50ml of milk.
Explanation:To determine the quantity of each ingredient needed to make 12 pancakes, we can use the ratio of ingredients given in the recipe:
240g plain flour : 2 eggs : 600ml milk
To find the quantity of plain flour needed for 12 pancakes, we can set up a proportion:
240g / x = 12 / 1
Cross multiplying, we get:
x = (240g * 1) / 12
x = 20g
Therefore, Dan should use 20g of plain flour for 12 pancakes. Similarly, he should use 2 eggs and 50ml of milk for 12 pancakes.
Drag and drop the answers into the boxes to correctly convert between decimals, fractions, and percents. Decimal Fraction Percent 0.045 9/20 9/200 9/2000 0.45% 4.5% 45%
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
9/20 = .45 = 45%
9/200 = .045 = 4.5%
9/2000 = .0045 = .45%
To convert between decimals, fractions, and percents, you can follow these steps:
Explanation:To correctly convert between decimals, fractions, and percents:
To convert a decimal to a fraction, count the number of decimal places and put the decimal part of the number over the appropriate power of 10. In this case, 0.045 has three decimal places, so the fraction is 45/1000.To convert a fraction to a percent, multiply the fraction by 100. In this case, 9/20 multiplied by 100 is 45%.To convert a decimal to a percent, move the decimal point two places to the right and add a percent symbol. In this case, 0.045 becomes 4.5%.Learn more about Decimal to fraction conversion here:https://brainly.com/question/31738948
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Pls help complete the proof
Answer:
Consider the given figure.
Given: [tex]\angle A=\angle D[/tex]
To prove: [tex]\Delta ACB \sim \Delta DCE[/tex]
Proof:
Statements Reasons
1. [tex]\angle BCA = \angle DCE[/tex] Vertically opposite angles
2. [tex]\angle A = \angle D[/tex] given
Hence, the given triangles are similar by AA similarity criteria as "AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar".
Travis is sewing a pillow for his Home Arts class. The pillow will be made from 2 identical rectangles. Each rectangle is 1 1/2 feet wide and 1 3/4 feet long. How many square feet of material is used in the sewing of the pillow?
Answer:
11/4
Step-by-step explanation:
True or False? The unemployment that follows when something changes the economy so much that there is a mismatch between workers and work is an example of structural unemployment.
Answer:
True
Step-by-step explanation: This is an example of structural unemployment because the economy changed forcing businesses to change and this of course made the workers that used to be compatible with this job incompatible making it a structural unemployment.
Structural unemployment is the correct term for the unemployment that occurs when there is a mismatch between workers and work due to changes in the economy.
Explanation:True, structural unemployment occurs when there is a mismatch between the skills and qualifications of the available workers and the requirements of the available jobs due to changes in the economy.
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Which statement about skew Lines and parallel lines is true
Answer:
The answer is C. Skew lines do not intersect, and parallel lines do not intersect.
Which is the graph 3x + 5y=-15
It's a linear function. We need only two points to the plotting of the graph.
[tex]3x+5y=-15\qquad\text{subtract 3x from both sides}\\\\5y=-3x-15\qquad\text{divide both sides by 5}\\\\y=-\dfrac{3}{5}x-3\\\\for\ x=0\to y=-\dfrac{3}{5}(0)-3=0-3=-3\to(0,\ -3)\\\\for\ x=-5\to y=-\dfrac{3}{5}(-5)-3=-3+3=0\to(-5,\ 0)[/tex]
A recipe calls for 40 ounces of meat.How many pounds of meat does the recipe require?
Answer: 40 ounces=2.5 pounds
Step-by-step explanation:
Since 1 pound=16 ounces. You have to see how many times 16 goes into 40, it goes in forty 2 times with 8 left over so that means we need decimal, since 8 is half of 16 the answer is 2.5.
Final answer:
To convert 40 ounces of meat to pounds, divide by the unit equivalence of 16 ounces per pound, resulting in 2.5 pounds of meat needed for the recipe.
Explanation:
The student is asking how many pounds are equivalent to 40 ounces of meat. To find the answer, you will need to know the unit equivalence between ounces and pounds.
The unit equivalence is 1 pound = 16 ounces. Therefore, to convert ounces to pounds, you divide the number of ounces by the unit equivalence.
Converting 40 ounces to pounds:
Start with the given amount in ounces: 40 ounces.Use the unit equivalence: 1 pound = 16 ounces.Divide 40 ounces by 16 ounces per pound to find the number of pounds.40 ounces ÷ 16 ounces/pound = 2.5 pounds
So, the recipe requires 2.5 pounds of meat.
A recursive rule for an arithmetic sequence is a1=-2; an=an-1 -9
What is an explicit rule for this sequence?
The explicit rule for the given arithmetic sequence is an = -2 + (n - 1) * (-9)
Explanation:An arithmetic sequence is a sequence of numbers in which each term is found by adding a common difference to the previous term. In this case, the recursive rule for the arithmetic sequence is given as a1 = -2 and an = an-1 - 9.
To find the explicit rule for this sequence, we need to find a formula that directly calculates the nth term of the sequence. We can do this by examining the pattern in the sequence:
First term: a1 = -2Second term: a2 = a1 - 9 = -2 - 9 = -11Third term: a3 = a2 - 9 = -11 - 9 = -20Fourth term: a4 = a3 - 9 = -20 - 9 = -29...From the pattern, we can see that each term is obtained by subtracting 9 from the previous term. So, the explicit rule for this arithmetic sequence is given by:
an = a1 + (n - 1) * d
where a1 is the first term, n is the term number, and d is the common difference. Plugging in the values, we have:
an = -2 + (n - 1) * (-9)
Simplifying this equation gives the explicit rule for the sequence.
Final answer:
The explicit rule for the arithmetic sequence is an = -2 + (n-1)(-9).
Explanation:
An explicit rule for an arithmetic sequence is given by the formula:
an = a1 + (n-1)d
Where:
an is the nth term of the sequence
a1 is the first term of the sequence
n is the position of the term in the sequence
d is the common difference between consecutive terms
In this case, the first term (a1) is -2 and the common difference (d) is -9. Therefore, the explicit rule for this sequence is:
an = -2 + (n-1)(-9)
How many outcomes are in the sample space
Answer:
The number of objects multiplied.
Step-by-step explanation:
Say you have a dice and a spinner. The dice has 6 sides and the spinner has 4 sides. 6x4=24. So you take the number of outcomes of each object and multiply it.
Select the expressions that are equivalent to 2(9r)
2(-3r+12r)
r+11
r+18
18r
HELP ASAP PLEASE!!!
Answer:
18r
Step-by-step explanation:
Multiply 9 by 2
Write the expression 6a-2(a-1) in simplest form
Final answer:
To simplify the expression 6a - 2(a - 1), distribute the -2 across the terms inside the parentheses, and then combine like terms to get the simplest form, which is 4a + 2.
Explanation:
To simplify the expression 6a - 2(a - 1), you need to distribute the -2 across the terms inside the parentheses and then combine like terms. Here's the process step by step:
Distribute the -2 to both a and -1 inside the parentheses: -2 x a gives us -2a, and -2 x -1 gives us +2.Write out the new expression without parentheses: 6a - 2a + 2.Combine like terms by subtracting -2a from 6a, which results in 4a.Add the constant term 2 to get the final simplified expression: 4a + 2.The simplest form of the expression is 4a + 2.
i am confused help plz
Answer:
Step-by-step explanation:
a 6(m+3)
b expression
equation
Ashley has a square flower garden that has an area of 400 square yards. What is the length of one side?
write the equation of a line that is perpendicular to the given line and passes through the given point
y-2=-1/4(x+3);(-3,5)
The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
We have the line
[tex]y-2=-\dfrac{1}{4}(x+3)\to m=-\dfrac{1}{4}[/tex]
If m₁ and m₂ are the slopes of the perpendicular lines, then
[tex]m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]
Therefore the slope of ouer line is
[tex]m=-\dfrac{1}{-\frac{1}{4}}=4[/tex]
We have the point (-3, 5). Put the coordinates to the equation of a line in the point-slope form:
[tex]y-5=4(x-(-3))\\\\\boxed{y-5=4(x+3)}[/tex]
Julia is allowed to watch no more than 5 hours of telivison a week. So far this week, she has watched 1.5 hours. write and solve an inequality to show how many hours of teli she can watch this week. ( can u show your work along with it? )
Answer:
she can watch 3.5 hours this week.
Step-by-step explanation:
Julia is allowed to watch no more than 5 hours of television a week.
Let x be the number of hours she can watch per week
number of hours not more than 5 hours
so x<=5
She already watched 1.5 hours. so inequality becomes
x+ 1.5 <= 5
Now we solve for x
subtract 1.5 on both sides
x + 1.5 < = 5 - 1.5
x < = 3.5
So, she can watch 3.5 hours this week.
A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi π
Answer:
C = 35 pi
Step-by-step explanation:
The new diameter is 5 + 30 = 35
The circumference = pi * d
The circumference = 35*pi
Answer:
35π cm
Step-by-step explanation:
Hope this helps!
Solve h + p = 4(k − 8) for k.
Answer:
[tex]\frac{h+p+32}{4}[/tex]
Step-by-step explanation:
distribute the parenthesis
h + p = 4k - 32 ( isolate 4k by adding 32 to both sides )
h + p + 32 = 4k ( divide both sides by 4 )
k = [tex]\frac{h+p+32}{4}[/tex]
expand the brackets, to get 4k-32
sp you have; h + p = 4k - 32
add 32 to both sides== h + p + 32 = 4k
/4
k= (h + p+ 32)/4
there are 11 regular players and 5 substitute players on a soccer team how many players are on 15 soccer teams ??
Answer:
225 players (including the substitutes)
Step-by-step explanation:
11 regular player and 4 substitutes makes 15 team members per team.
15 players on each team times 15 teams gives you 225 players in total.
The total number of players on 15 soccer teams can be calculated by multiplying the total number of players (including regular and substitute) on one team (16 players) by the number of teams (15), which equals 240 players.
Explanation:The subject of this question is Mathematics, and it's referencing a concept of multiplication in a real-world context. To determine the total number of players on 15 soccer teams, you consider that each team is composed of 11 regular players and 5 substitutes. So, the total number of players on one team is 16 (11 regular players + 5 substitutes).
To find out the number of players on 15 teams, you multiply the number of players on one team by 15. That is, 16 players * 15 teams = 240 players. So, there are 240 players on 15 soccer teams.
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Which of the following would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years?
To earn the same amount of simple interest as $600 with 2.5% interest over six years ($90), another investment combination that would yield the same interest amount is $1,000 at 3% interest for 3 years.
Explanation:The student is asking which investment would earn the same amount of simple interest as a principal of $600 with 2.5% interest over 6 years. The formula for calculating simple interest is Interest = Principal imes Rate imes Time. For the given principal of $600 with 2.5% interest over 6 years, the interest earned would be:
Interest = $600 imes 0.025 imes 6
Interest = $90
To find another investment with the same interest earned, one must find a principal, rate, and time that satisfy the equation:
Interest Earned = New Principal imes New Rate imes New Time = $90
An example would be a principal of $1,000 with 3% interest for 3 years:
Interest Earned = $1,000 imes 0.03 imes 3
Interest Earned = $90
This indicates that both investments would earn the same amount of interest over their respective periods.
Please Solve #25 Thx
check the picture below.
notice, we can find the area of the pink triangle (garden), since we know its base and height, we can also find the areas of the yellow triangle (lawn), since we also know its base and height.
[tex]\bf \stackrel{\textit{area of the garden}}{\cfrac{1}{2}(40)(70)}\implies 1400~\hfill \stackrel{\textit{area of the lawn}}{\cfrac{1}{2}(100)(70)}\implies 3500 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{\textit{area of the lawn}}{\textit{area of the garden}}\qquad \qquad \cfrac{3500}{1400}\implies \cfrac{5}{2}\implies 2\frac{1}{2}\textit{ times larger}[/tex]
Do they qualify for bankruptcy?
Answer:
no
Step-by-step explanation:
they do not :)
please help I'm good with geometry put I'm stuck on these questions
I don't see any questions. I will gladly help you when you upload the questions.
Compute the following 8c8
Answer:
1
Step-by-step explanation:
using the definition of n[tex]C_{r}[/tex]
= [tex]\frac{n!}{r!(n-r)!}[/tex]
where n! = n(n - 1)(n - 2)........ × 3 × 2 × 1
note that 0! = 1
8 [tex]C_{8}[/tex] = [tex]\frac{8!}{8!(0!)}[/tex]= 1 ← cancel 8!
prime factorization of 39
Answer:
3 * 13 is the prime factorization
Step-by-step explanation:
We need to break 39 down into primes
39 = 3 * 13
Both 3 and 13 are primes so we are done
Answer:
3*13
Step-by-step explanation:
the factors of 39 are 3 and 13
Which value is the same as 2 tenths?
2 tenths is equal to 0.2 in decimal format. This is derived from its fraction format, 2/10, and its place value in the base-ten number system, which is a 'tenths' place.
Explanation:In mathematics, the value that is equivalent to 2 tenths is 0.2. This is because when we say 'tenths', we are referring to a fractional or decimal value that has a denominator of ten in the context of fractions or one place after the decimal point.
Therefore, 2 tenths is essentially 2 divided by 10 which equals 0.2 in decimal format. We can further illustrate this using a base-ten number system. In this system, each place to the right of the decimal point represents a 'tenths' place value. Therefore, in the number 0.2, the digit '2' is in the 'tenths' place.
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A storeowner orders 25 calculators that cost $48 each. The storeowner can sell each calculator for $60. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
25*48=1,200
So we start at -1,200
22*60=1,320
So currently we are at a profit of $120.
120-6=114
Total profit: $114
As per the given values, the storeowner's profit is $114.
Explanation:Total number of calculators = 25
Cost of calculators = $48
The amount at which they can be sold = $60.
To calculate the storeowner's profit, we need to consider the total cost and total revenue.
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Anyone know? Will mark brainliest if correct!
The answer is A. g(x).
Here's why:
f(x) = -x^4 - 2: This function is a downward-facing parabola (due to the negative coefficient of x^4) with a maximum y-value at its vertex. The vertex occurs at x = 0, and the maximum y-value is f(0) = -2.
g(x) = -3x^3 + 2: This function is a cubic function with a local maximum, but it does not have a global maximum. However, its maximum value is still greater than the maximum value of f(x).
Key points:
The maximum y-value of f(x) is limited to -2 because of the negative leading coefficient and the constant term of -2.
g(x) doesn't have a defined maximum y-value, but it can reach values greater than -2, making its maximum value larger than that of f(x).
Therefore, g(x) has the largest maximum y-value among the two functions.
Which graph represents the piecewise-defined function? y={−45x−3 if x<03x−10 if x≥2
Step-by-step explanation:
[tex]y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.[/tex]
[tex]\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1¬hing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}[/tex]
* open dot
You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.
Make sure that:
(0, -3) has an open dotnothing is plotted between x = 0 and x = 2(2, -4) has a closed dot