The third term, fourth term and tenth term are -1, -3, -15 respectively.
What is a sequence?A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.
Analysis:
For a sequence defined by the rule A(n) = 3 + (n-1)(-2)
Third term, n = 3
A(3) = 3 + (3-1)(-2) = -1
Fourth term, n = 4
A(4) = 3 + (4-1)(-2) = -3
Tenth term, n = 10
A(10) = 3 + (10-1)(-2) = -15
In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.
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Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25
The break-even sales price per umbrella if sun cover manufactures the units is $120.99.
How to calculate the sales price?This can be done by using the formula:
Break even units = Total fixed cost / (Price - Variable cost)
8573 = 675921/(Price - 42.15)
8573(P - 42.15) = 675921
8573P - 361351.95 = 675921
8573P = 675921 + 361351.95
8573P = 1037273.4
P = 1037273.4/8574
P = $120.99
Therefore, the price is $120.99.
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Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.
The error Kevin made was in step 2 when he added before he multiplied.
What error did Kevin make?
This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:
bracket of division multiplication addition subtractionStep 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66To learn more about addition, please check: https://brainly.com/question/349488
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On a coordinate plane, triangle B C D is rotated 180 degrees clockwise to form triangle B prime C prime D prime. Identify the angle of rotation that maps triangle BCD to triangle B’C’D’. What is the angle of rotation? 90° 180° 270° 360°
Answer:
180
Step-by-step explanation:
Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =
The value of z if x = 36 and y = 6 is 42
Direct and inverse variationSuppose that y varies directly with x and inversely with z, hence the required expression will be:
y = kx/z
If y = 4 when x = 8 and z = 14 then;
4 = k(8)/14
8k = 56
k = 7
To find z when x = 36 and y = 6, we will have:
6 = 7(36)/z
1 = 7(6)/z
z = 42
Hence the value of z if x = 36 and y = 6 is 42
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Answer:
Keep it simple. Answer:
y=kx/z
k=7
z=42
Step-by-step explanation:
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O
Answer:
No solution.
Step-by-step explanation:
When two lines have the same slope but different y-intercepts, they are parallel. Parallel lines never intersect, and therefore there is no solution.
I have a bag with 6 marbles numbered from 1 to 6. mathew has a bag with 12 marbles numbered from 1 to 12. matthew chooses one marble from his bag and i choose two from mine. in how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles equals the number on his?
Answer:
It would be 30.
Step-by-step explanation:
If we make a list of all the sums that we can get, we have:
1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6
These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.
That gets us to 15x2 which is 30.
The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
I have a bag with 6 marbles numbered from 1 to 6.
Mathew has a bag with 12 marbles numbered from 1 to 12.
1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6
These 15 sums can be chosen in two ways,
Since order matters, and we could do 2+1 instead of 1+2.
15 x 2 which is 30.
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1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?
Answer:
yes there is a correlation
Step-by-step explanation:
here's how I found this by looking up all key words.
need help asap please!
Answer:
determinant: -15x = 3; y = 4; z = 1Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
coefficient matrix, determinantThe first attachment shows the coefficient matrix and its determinant.
__
solutionThe solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
[tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]
This multiplication is shown in the second attachment. It tells us ...
[tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]
help me please i still struggle
Answer:
59 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angles in a triangle add up to 280 degrees
180 minus 149 is 31
31 add 90 is 121
180 minus 121 is 59
Which of the following situations can be defined using an exponential function?
A The value of the stocks decreased by $100 last year.
B The number of bacteria decreases by 7% each hour.
C The number of bacteria increases by 700 each hours.
D The value of the stocks increases by $10 every year you own them.
The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".
What is an exponential function?An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.
From the above,
The value of the stocks decreased by $100 last year is a linear function.The number of bacteria increases by 700 each hour is a linear function.The value of the stocks increases by $10 every year you own them is a linear function.Learn more about exponential function:
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Is 0.2775 a rational number
Answer:
yes it is
Step-by-step explanation:
It is a rational number, as it can be written as a fraction.
Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.
Does her survey comprise an accurate representation of the Reach student body? Why or why not?
Answer:
no because it just reaches one class, not the student body
Step-by-step explanation:
Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
(10/2)x7+5-4 whats the answer
Answer:
36
Step-by-step explanation:
Question:
[tex] \bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solution:
Here, we need to use PEMDAS rule, where:
P = parenthesise = exponentsm = multiplicationD = divisiona = additions = subtractionThere's a rule as well, the sum given is need to solved from the left, whichever sign is there.
Solved:
[tex]\bigg(\cfrac{10}{2} \bigg)\times 7 + 5 - 4[/tex]
Solve for parentheses first:
[tex] = 5 \times 7 + 5 - 4[/tex]
Then multiplication of course:
[tex] = 35 + 5 - 4[/tex]
Then addition:
[tex] = 4 0 - 4[/tex]
[tex] =36[/tex]
Hence, the answer is 36.
The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.
f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|
The absolute value functions that contains the points are:
f(x) = |x| + 2f(x) = |-x| + 2Which could be the function represented by this graph?Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.
To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.
For example, for the first equation:
f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).The other option that also contains these 3 points is:
f(x) = |-x| + 2
f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).And all the other options can be trivially discarded (by evaluating them).
So the two correct options are:
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(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.
10 minutes
6 minutes
8 minutes
Answer:
8 minutes
Step-by-step explanation:
Jill jogs 3/4 of a mile in 1/10 hour.
⇒ 3/4 of a mile takes 6 minutes
For one mile :
3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes1 mile she can run
1/10÷3/44/3(1/10)4/302/15hour8/60hour8 mins
Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?
Answer:
55%
Step-by-step explanation:
(33/60) * 100
leave a comment if u need further explanation
which method is best for solving the system of equations,
3x+2y=4
-3x+y=2
The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination
To answer the question, we need to know what system of equations are
What are system of equations?System of equations are pairs of equations that contain two unknowns
Ways of solving system of equationsWe have different ways of solving systems of equations which include
Guess and CheckEliminationGraphing and SubstitutionSince we have the system of equations
3x + 2y = 4
-3x + y = 2
The method which we can use to remove one variable by adding them is the elimination method.
Adding them, we have
3x + 2y = 4
+
-3x + y = 2
3y = 6
y = 6/3
y = 2
So, the method which we can use to remove one variable by adding them is B Elimination
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A helicopter flies 125 miles west and 20 miles north and lands.
The helicopter flies back on a direct course.
What is its bearing?
Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
28.4.2 Test (CST): Transformations, Congruence, and Similarities, Part 2
Quadrilateral RUST has a vertex at R (1,5).
T
S
What are the coordinates of R'after the translation (x, y) → (x+1, y-1),
Answer:
R'(2,4)
Step-by-step explanation:
When doing translations you subtract or add within the coordinates like a normal problem.
If it helps you, write it as seperate equations like:
1-1 and 5-1
Hope that helps ✓
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.
Answer:
it's 8
Step-by-step explanation:
the lil hand is on the 8 and the big hand is on the 12
Answer:
The time is 8:00 but with out a question im not sure what your asking
Step-by-step explanation:
4x what = 364
please put the calculation
Answer:
91
Step-by-step explanation:
4 x 91 = 364
To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).
So, we do 364 ÷ 4 = 91
Hope this helps!
- profparis
37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280
The equation that models the scenario is 16p+32q = 1,280.
Which equation models the scenario?Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :
Total pint + total quart = total ounces
16p+32q = 1,280.
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Identify the expressions for which limits exist.
Answer:
Step-by-step explanation:
Limits exist for:
[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7
[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6
[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8, 9).
Step-by-step explanation:
Solution,Given,Coordinates of A and B are (2,3) and(8,9) respectively. Let A(2,3)= (x1,y1) and B(8,9)=(x2,y2)Midpoint of AB(m)=?Now,using midpoint formulam= {(x1+x2)/2 ,(y1+y2)/2}or m= {(2+8)/2,(3+9)/2}.°. m=(5,6)Answer:Mxy= [(Xa+Xb/2);(Ya+Yb/2)]
=(2+8/2);(3+9/2)
Midpoint= (5, 6)
Step-by-step explanation:
guys help just with part b for number 2!
Answer:
22 8th graders
Step-by-step explanation:
if 25% of the 88 kids are 8th graders then do this.
88x.25=22
88x.75=66
there are 22 eighth graders
and 66 seventh graders.
any help is great find the missing length?
Answer:
3Step-by-step explanation:
Similar = proportional
solve with an equation
12 : 9 = 4 : x
x = 4 * 9 : 12
x = 3