A student is trying to solve the system of two equations given below:
Equation P: y + z = 6
Equation Q: 5y + 9z = 1
Which of the following is a possible step used in eliminating the y-term?
A: (y + z = 6) ⋅ 9
B: (y + z = 6) ⋅ −5
C: (5y + 9z = 1) ⋅ 9
D: (5y + 9z = 1) ⋅ 5
Answers
Answer: B: (y + z = 6) × -5
Step-by-step explanation:
if you multiply 'y' by -5 it turns into -5y. Therefore when you add -5y and 5y together, you get 0y which is what you want when eliminating the y-term.
Related Questions
suppose the sequence is defined by the recurrence relation n, for n1, 2, 3,..., where a1. write out the first five terms of the sequence.
Answers
To find the first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, we can use the given formula to generate the terms one by one.
The first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, are:
a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 5.
Recurrence relations:
So, the first term of the sequence, a1, is simply given as a1 = 1, as per the recurrence relation.
To find the second term, we use the formula n, which means plugging in
n = 2: a2 = 2.
To find the third term, we use the formula again, but this time with
n = 3: a3 = 3.
We continue in this way, using the formula with n = 4 and n = 5 to find the fourth and fifth terms of the sequence, respectively:
a4 = 4
a5 = 5
Therefore, the first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, are:
a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 5.
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Which word is associated with multiplication when computing probabilities? Choose the correct answer below Disjoint O And O Not
Answers
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .
According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.
Therefore,
When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.
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Write the expression in standard form. Then find the degree, leading coefficient, and constant of the polynomial.
(2x + 3) (3x – 5)
Degree:
Leading Coefficient:
Constant:
Answers
Answer:
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
Step-by-step explanation:
(2x + 3) (3x – 5)=
6x²+9x-10x-15=
6x²-x-15
degree: second
leading coefficient : 6 , -1
constant : -15
Write an equation to describe the sequence
5/2, 5/4, 5/8
Answers
Answer:
aₙ = 5*2 ⁻ⁿ-------------------
Given sequence:
5/2, 5/4, 5/8, ...We can see each term is half the previous one, hence it is a GP with:
a₁ = 5/4,r = 1/2.Its nth term is:
aₙ = a₁*rⁿ⁻¹aₙ = 5/2*(1/2)ⁿ⁻¹ = 5/2 * 1/2ⁿ⁻¹ = 5 * 1/2ⁿ = 5*2 ⁻ⁿhey guys! Please help this is an important homework grade and could bring me down a lot. If you help I would appreciate it so much. If answer is right I will mark you brainliest. Have a good night.
Answers
Answer:
\(y = x - 8\)
Step-by-step explanation:
Slope-intercept form is:
\(y = mx + b\)
Where m = slope and b = y-intercept.
It is stated that the slope of the line is 1.
It is stated that the line includes the point (0, 8)
To find the y-intercept, we can just inverse the slope-intercept form to solve for b.
\(b =y-mx\)
We know that the point (8, 0) falls on the line, so that's what we'll use for x and y.
Then, we just have to plug those numbers in, as well as the slope.
\(b = 0 - (1)(8)\)
Simplify.
\(b = 0 - 8\)
Simplify again.
\(b = -8\)
Now, we know that b = -8.
All we have left is to plug the slope and y-intercept into the slope-intercept form.
\(y = x - 8\)
Use Green's theorem to evaluate the line integral I of the one-form W = (2622 + x sin? (y)) dx + (xc2 cos(y) sin(y) + xy + sinº (y)) dy along the closed curve in R2 formed by going from the origin to the point (1,0) along the arc of the curve y = 2 sin(x), and then back to the origin along the x-axis. = 1 =
Answers
The value of the line integral is π/2. we can use Green's theorem, which relates a line integral along a closed curve to a double integral over the region enclosed by the curve.
First, we need to find the curl of the vector field F = (2622 + x sin(y))i + (xc^2 cos(y) sin(y) + xy + sin(y))j. The partial derivatives of the components of F are:
Fx = sin(y)
Fy = xc^2 cos(y) cos(y) + x + cos(y)
Taking the curl of F, we get:
curl(F) = ∂Fy/∂x - ∂Fx/∂y = c^2 cos^2(y) - sin(y)
Now, we can use Green's theorem to write:
I = ∮C F · dr = ∬R curl(F) dA
where C is the closed curve formed by going from the origin to (1,0) along the arc y = 2sin(x), and then back to the origin along the x-axis, and R is the region enclosed by C.
To find the area of R, we can integrate y from 0 to 2sin(x), and x from 0 to π, which gives:
A = ∫0^π ∫0^2sin(x) dy dx = π
Therefore, we have:
I = ∬R curl(F) dA = ∬R (c^2 cos^2(y) - sin(y)) dA = ∫0^π ∫0^2sin(x) (c^2 cos^2(y) - sin(y)) dy dx
Using trigonometric identities, we can simplify this to:
I = ∫0^π ∫0^2sin(x) (c^2 - 1/2) cos(2y) - 1/2 dy dx
Integrating with respect to y, we get:
I = ∫0^π (c^2 - 1/2) sin^2(x) dx = (3c^2 - 2)π/4
Substituting c = 1, we get:
I = π/2
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17 The area of the trapezoid below is 420 cm'. Find the height. Round to the nearest tenth if the answer is in decimal form. cm cm cm
Answers
We can draw the trapezoid as follows
Recall that the area of a trapezoid of the shape
Is given by the formula
\(\frac{(B+b)\cdot h}{2}\)In our case, we have b=1/5, B = 2/7 and the area is 17/420. So we have the following equation
\(\frac{17}{420}=\frac{(\frac{2}{7}+\frac{1}{5})\cdot h}{2}\)so we need to solve this equation for h.
We start by solving this operation
\(\frac{2}{7}+\frac{1}{5}\)Recall that given two fractions a/b and c/d we have
\(\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+c\cdot b}{b\cdot d}\)Taking a=2, b=7, c=1 and d=5, we get
\(\frac{2}{7}+\frac{1}{5}=\frac{2\cdot5+1\cdot7}{7\cdot5}=\frac{17}{35}\)So we have the equation
\(\frac{17}{420}=\frac{\frac{17}{35}\cdot h}{2}\)Now, recall that givens numbers a,b,c where b and c are not zero, we have that
\(\frac{\frac{a}{b}}{c}=\frac{a}{b\cdot c}\)In our case, lets take a=17, b=35 and c=2. So we have
\(\frac{\frac{17}{35}}{2}=\frac{17}{35\cdot2}=\frac{17}{70}\)So we have the equation
\(\frac{17}{420}=\frac{17}{70}\cdot h\)We can divide both sides by 17, so we get
\(\frac{1}{420}=\frac{h}{70}\)So if we multiply both sides by 70, we get
\(h=\frac{70}{420}=\frac{7}{42}=\frac{1}{6}\)So the height of the trapezoid is h=1/6 cm.
A sales clerk's daily earnings include $110 per day, plus commission equal to x times her daily sales. On Tuesday, the clerk's daily sales were $950 and her total earnings were $224. Enter an equation that can be used to find x
Answers
As a result, the following equation can be used to determine x: Earnings total = $110 plus $0.12 (daily sales)
what is equation ?A mathematical statement proving the equality of two expressions is known as an equation. It often has one or more variables, and depending on the values of those variables, it can either be true or false. Equations are frequently shown by placing an equal symbol (=) between the two expressions, as in the following example: 2x + 3 = 9 According to this formula, the product of x multiplied by itself three times equals nine. By moving the equation around and carrying out operations on both sides until the variable is isolated, we can find the value of x.
given
$110 in total earnings plus x (daily sales)
Replace the specified values with:
$224 = $110 + x($950)
Simplify and find x's value:
$114 = x($950)
x = $114/$950
x = 0.12
As a result, the following equation can be used to determine x: Earnings total = $110 plus $0.12 (daily sales) .
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how do I multiply and divided exponent denominator and numerator
Answers
Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27, . . .
Answers
Answer: 33,39
Step-by-step explanation:
Counting by 6's
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form?
Answers
Answer:
y = mx + b
Step-by-step explanation:
What is the circumference of the circle
A. 18.84
B. 17.6
C. 21.79
D. 15.65
Answers
Answer:
18.84
Step-by-step explanation:
The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.
hope this helps
Answer:
A
Step-by-step explanation:
Evaluate 1 1/2 + 3/4 ÷ (-1/3) - 2/3 Enter your answer as a mixed number in simplest form in the box
Answers
The result of the expression as a mixed fraction is -1 5/12
Given the expression
\(1\frac{1}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)
Write as an improper fraction
\(\frac{3}{2}+\frac{3}{4}\div (-\frac{1}{3} ) -\frac{2}{3}\)
Using the PEDMAS rule;
\(=\frac{3}{2}+(\frac{3}{4}\div (-\frac{1}{3} )) -\frac{2}{3}\\=\frac{3}{2}+(\frac{3}{4}\times -3) -\frac{2}{3}\\=\frac{3}{2}-(\frac{9}{4}) -\frac{2}{3}\\\)
Find the LCM of the result
\(=\frac{18-27-8}{12}\\= \frac{-17}{12}\\= -1\frac{5}{12}\)
Hence the result of the expression as a mixed fraction is -1 5/12
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On Friday, Carlos sold two and two-thirds pitchers of lemonade at his lemonade stand. On Saturday, he sold one and four-sixths times as much lemonade as he sold on Friday. How many pitchers of lemonade did he sell on Saturday?
A. two and six-ninths
B. three and eight-eighteenths
C. four and eight-eighteenths
D. eight and eight-ninths
Answers
Answer:
The correct answer is 1 pitcher.
Step-by-step explanation:
Oscar sold 2 pitchers of lemon are from his lemonade stand on Friday.
On Saturday, he sold as much lemonade as on Friday.
The number of pitchers of lemon from the lemonade stand which Oscar sold on Saturday is given by × 2 = 1 pitcher.
Thus Oscar sold 1 pitcher on Saturday which is half of the number of pitchers of lemon he could sell on Friday.
Answer:
c
Step-by-step explanation:
what step cadence is used during the ymca 3-minute step test?
Answers
This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm.
The step cadence used during the YMCA 3-minute step test is a set of three stepping cycles per each 20-second period. This means that the participant takes a total of nine steps within each 20-second period. In other words, the participant steps up and down on the platform at a rate of approximately 24 steps per minute. It is important to maintain this consistent step cadence throughout the entire test in order to get an accurate measure of cardiovascular fitness. Overall, the YMCA 3-minute step test is a simple and effective way to assess an individual's aerobic fitness level.
The YMCA 3-minute step test utilizes a specific step cadence to measure an individual's cardiovascular fitness. The answer is that during the test, a cadence of 96 beats per minute (BPM) is used. This cadence corresponds to three sets of 24 steps per set, totaling 72 steps per minute. Participants are required to step up and down on a 12-inch step platform for a duration of three minutes, following the 96 BPM rhythm. Upon completion of the test, the participant's heart rate is measured for a minute to determine their fitness level. The test results can be compared to established norms to gauge overall cardiovascular health and endurance.
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3
Natalie bought 3/4 pound flour for baking. She used 2/3 of the flour to make cookies. How many pounds of flour did she use?
Answers
Answer:
it blurry
Step-by-step explanation:
» A. Complete the second column that describes the
change in water level. Then complete the third
column that describes the final height of the water.
What do you notice about the second and third
columns?
Starting
Height of
Water
top of pool
Change
in Inches
of Water
Final
Height of
Water
3
2
2
+
0
=
O
1
2
+
1
0
fill line
-1
2
+
-2
=
0
-2
2
+
-3
-1
-3
bottom
of pool
2.
+
-4
FOCUS ON MATU DRACTICES
EB
Bi
Answers
Answer:
sorry ihave ni idea sorry sorry
Order the following steps to explain the correct process for calculating net income.
Reorder answers
1.Subtract the tax withholdings from the gross income.
Reorder answers
2.Convert the tax rate to a decimal.
Reorder answers
3.Multiply the tax, as a decimal, with the gross income.
Answers
Answer:
Convert the tax rate to a decimal so 8.75% becomes 0.875
Multiply the tax, as a decimal, with the gross income so 1,000 x 0.0875 = 87.5
Subtract the tax withholdings from the gross income 1000 - 87.5 = 912.5
Step-by-step explanation:
Find the distance between the two points:
(-16,5) and (3,5)
Answers
The distance is 19
Hope this helps! :D
The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?
Answers
Answer:
4/48 simplified by 4 = 1/12
The probability is 1/12
.............
Manuel is saving money for college. He already has $250. He plans to
save another $50 per month,
Regardless of how many months he saves, how much does he save each
month?
Answers
Step-by-step explanation:
That is $250-$50=$200
why because he plans to
save $50 per month and
he already has$250to begin
so that explains what i did
Find the surface area?
Answers
Answer:
8 + 4 = 12
12 x 3 = 36
36 divided by 2 = 18
18 x 2 = 36
9 x 3.7 = 33.3
33.3 x 2 = 66.6
9 x 8 = 72
4 x 9 = 36
Now lets add all given areas:
36 + 66.6 + 72 + 36 = 210.6 cm2 is your answer.
Calculate the five-number summary for the following dataset.41.19, 83.51, 19.98, 114.60, 63.08, 83.88
Answers
The five-number summary for the given dataset is: 19.98, 30.585, 73.295, 99.24, and 114.60.
To calculate the five-number summary for the given dataset, we first need to sort the data in ascending order:
19.98, 41.19, 63.08, 83.51, 83.88, 114.60
Now, let's find the five-number summary components:
1. Minimum: The smallest number in the dataset.
Minimum = 19.98
2. First Quartile (Q1): The median of the lower half, not including the overall median if the dataset has an odd number of data points.
Q1 = (19.98 + 41.19) / 2 = 30.585
3. Median: The middle number of the dataset.
Median = (63.08 + 83.51) / 2 = 73.295
4. Third Quartile (Q3): The median of the upper half, not including the overall median if the dataset has an odd number of data points.
Q3 = (83.88 + 114.60) / 2 = 99.24
5. Maximum: The largest number in the dataset.
Maximum = 114.60
The five-number summary for the given dataset is: 19.98, 30.585, 73.295, 99.24, and 114.60.
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I don’t know how to do this, explanation too please
Find angle x
Answers
Answer:
Step-by-step explanation:
You need to know trigonometry for this.\
You can't solve this without a scientific calculator.
TOA means Tan x = Opposite/Adjacent or in this case, 5.1/4.2
tan x = 5.1/4.2
arctant(tanx) = arctan(5.1/4.2)
x = arctan(5.1/4.2)
≈ 50.5°
arctan x is also known as tan inverse x
The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is 20 cm. Find the perimeter of the figure. (Take Pi = 3.14)
Answers
Answer:
110 is the aswer
Step-by-step explanation:
ILL BRAINLIEST YOU PLEASE HELP ME
Answers
Answer: x = 34
Step-by-step explanation: ok so when you put 2 triangles together and make a rectangle the length and width will still be the same! so the answer is 34ft
The annual snowfall in city a is 69.8 inches. this is 14.5 inches more than times the snowfall in city b. find the annual snowfall for city b.
Answers
The annual snowfall for City B is approximately 4.81 inches.
To find the annual snowfall for City B, we need to solve the equation given in the question: 69.8 = 14.5x, where x represents the snowfall in City B.
This simplifies to:
69.8 / 14.5 = x
This simplifies to:
4.81 ≈ x
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Nat has 2 episodes filmed for her new series. She plans
on filming 6 more episodes per month. Write a linear
equation that could represent this
Answers
2 being the episode’s she has already created
6m is 6 times any number of months (m)
6. the president of hill enterprises, terri hill, projects the firm's aggregate demand requirements over the next 8 months as follows: january 1,400 may 2,200 february 1,500 june 2,100 march 1,800 july 1,800 april 1,800 august 1,800 her operations manager is considering a new plan, which begins in january with 200 units of inventory on hand. stockout cost of lost sales is $150 per unit. inventory holding cost is $40 per unit per month. ignore any idle-time costs. the plan is called plan a. plan a: vary the workforce level to execute a strategy that produces the quantity demanded in the prior month. the december demand and rate of production are both 1,600 units per month. the cost of hiring additional workers is $60 per unit. the cost of laying off workers is $85 per unit. evaluate this plan. (enter all responses as whole numbers.) note: both hiring and layoff costs are incurred in the month of the change. for example, going from 1,600 in january to 1,400 in february incurs a cost of layoff for 200 units in february. period month demand production hire (units) layoff (units) ending inventory stockouts (units) 0 december 1,600 1,600 200 1 january 1,400 1,600 2 february 1,500 1,400 3 march 1,800 1,500 4 april 1,800 1,800 5 may 2,200 1,800 6 june 2,100 2,200 7 july 1,800 2,100 8 august 1,800 1,800 the total cost of hirings = $ . (enter your response as a whole number.) the total cost of layoffs = $ . (enter your response as a whole number.) the total inventory carrying cost = $ . (enter your response as a whole number.) the total stockout cost = $ . (enter your response as a whole number.) the total cost, excluding normal time labor costs, is = $ . (enter your response as a whole number.)
Answers
$21875 was spent overall on stockouts. The entire carrying cost for inventory is $68,000.$89875 is the total price, not including the cost of regular labor.
what is total cost ?The sum of the fixed and variable costs is the total cost. Another, more complex approach to express it is as Total Cost = (Average Fixed Cost + Average Variable Cost) x Number of Units. It was all about the total cost formula, a crucial idea in figuring out the overall cost of production.
here ,
Averaging 13600/8 equals 1700.
The average monthly unit demand is 1700 units.
Ending inventory for January equals ending inventory for December plus January production minus January demand (Consider the value if it is positive or ignore it)
Stockout Units = December's final inventory plus January's production minus January's demand (Consider the value if it is negative or ignore it)
Total 3400 175
Cost $20 $125
68000 21875 89875
Total inventory carrying cost Total stockout cost
$21875 was spent overall on stockouts.
The entire carrying cost for inventory is $68,000.
$89875 is the total price, not including the cost of regular labor.
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What is the slope of the line that passes through the points (4,7) and (8,12)
*Your answer should be numerical value only, it may be in the form of
a/b, if applicable. Remember to simplify your answer.
NEED HELP ASAP
Answers
Answer:
The slope is 5/4 or 1.25
Step-by-step explanation:
You can find the slope by using the equation (y2-y1)/(x2-x1)=Slope
This time it would be (12-7)/(8-4)
Simplified it would be 5/4 or 1.25