Why do you divide to find unit rate?
Answers
Related Questions
Use the original price and the markdown to find the retail price.
Original price: $110; Markdown: 30%
Answers
Answer:
Step-by-step explanation:
regergergr
find the general solution of the given system. x' = 10 −5 8 −12 x
Answers
To find the general solution of the system x' = 10 −5 8 −12 x, we first need to find the eigenvalues and eigenvectors of the coefficient matrix.
The characteristic equation is det(A - λI) = 0, where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix. So, we have:
det(10-λ -5 8 -12-λ) = 0
(10-λ)(-12-λ) - (-5)(8) = 0
λ\(^2\) - 2λ - 64 = 0
(λ - 8)(λ + 8) = 0
λ1 = 8, λ2 = -8
Next, we need to find the eigenvectors corresponding to each eigenvalue. For λ1 = 8, we have:
(10-8)x1 - 5y1 + 8z1 = 0
-5x1 + (8-8)y1 + 8z1 = 0
8x1 + 8y1 + (-12-8)z1 = 0
Simplifying the system, we get:
2x1 - y1 + 4z1 = 0
-5x1 = 0
8x1 + 8y1 - 20z1 = 0
Solving for x1, y1, and z1, we get:
x1 = 0
y1 = 0
z1 = t
So, the eigenvector corresponding to λ1 = 8 is [0, 0, t].
For λ2 = -8, we have:
(10+8)x2 - 5y2 + 8z2 = 0
-5x2 + (8+8)y2 + 8z2 = 0
8x2 + 8y2 + (-12+8)z2 = 0
Simplifying the system, we get:
18x2 - 5y2 + 8z2 = 0
-5x2 + 16y2 + 8z2 = 0
8x2 + 8y2 - 4z2 = 0
Solving for x2, y2, and z2, we get:
x2 = 2t
y2 = 5t
z2 = -2t
So, the eigenvector corresponding to λ2 = -8 is [2t, 5t, -2t].
Now that we have the eigenvalues and eigenvectors, we can write the general solution as:
\(x(t) = c1[0, 0, t]e^{(8t)} + c2[2t, 5t, -2t]e^{(-8t)}\)
where c1 and c2 are constants determined by initial conditions.
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The area of a triangle is 17.5 square units. The height of the triangle is 7 units. How many units long is the base?
Answers
Answer:
5 units
Step-by-step explanation:
Area of a triangle = 1/2 * b * h , b= base h=height
17.5 = 1/2 * b * 7
Multiply by 2,
35 = 7b
Divide by 7,
b = 35/7 = 5 units
There are 4,500 cities on planet Purple. The planetary government takes a random sample of 350 cities and finds that the average number of complaints about feral cats from the sample was 3.4 ± 0.49. Which of the following is an estimate of the total number of feral cat complaints for planet Purple?
Between 1018.5 and 1361.5 complaints
Between 171.5 and 1190 complaints
Between 13,095 and 17,505 complaints
Between 2,205 and 15,300 complaints
Answers
Based on the margin of error, an estimate of the total number of feral cat complaints for planet Purple is A. Between 1018.5 and 1361.5 complaints.
What is the margin of error?The margin of error shows the statistical difference between the actual and projected or estimated results.
The margin of error gives the difference between the upper limit and the lower limit of the sample estimate.
With the margin of error, one establishes a level of confidence or the confidence interval in the sample results.
The total number of cities on planet Purple = 4,500
Random sample size = 350 cities
Average complaints = 3.4
Margin or error = ± 0.49
Upper limit = 1,361.5 [350 x (3.4 + 0.49)]
Lower limit = 1,081.5 [350 x (3.4 - 0.49)]
Thus, using the margin of error, an estimate of feral cat complaints hovers over Option A.
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Pls help for brainly 2 Figure JKLMN is reflected across the x-axis to form figure J'K'L'M'N'.
4
-6 <-4 -2 o
J
2
M'
4
M
6
N
8
Decide if each statement about figures JKLMN and J'K'L'M'N' is true or false.
Choose True or False for each statement.
a. The y-coordinate of J' is the
opposite of the y-coordinate of J.
b. L' is located at (-3,-4).
c. N and N' both are at the same
distance from the y-axis.
d. L' is located 3 units above the x-axis.
True False
OOOO
O
OO
O
50
Turn in 0. = AA
Page
Answers
The result of true and false is-
a) True: J and J' are opposite of y axis.
b) False: Location of L' is (-3, -4).
c) True: N and N' are at same distance.
d) False: L' is at 3 unit above x axis.
What is defined as the reflection on coordinates?The x-coordinates of a point remain constant when it is reflected across the X-axis. However, the Y-coordinates are changed into their inverse signs. As a result, the X-axis reflection of a point (x, y) is (x, -y).As per the given graph;
Part a: True: J and J' are opposite of y axis.
It is clear from the graph that J and J' lies on the opposite side of Y-axis.
The coordinate of J = (2, -6) and J' = (2, 6).
Part b: False: The location of L' is not (-3, -4)
The correct Location of L' is (3, 4) as seen from the graph.
Part c: True: N and N' are at same distance.
The coordinates of N and N' are (5, -5) and (5, 5).
Thus, they are at the same distance from the both axis.
Part d: False: L' is at 3 unit above x axis.
Point L' lies at the distance of 4 units from the x axis.
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Eric owns shares of a certain stock. If he sells off 8 shares each month for a year, find the change in the number of shares of stock he owns.
Answers
After solving the word problem, the change in the number of shares of stock he owns, is x-96.
In the given question we have to find the change in the number of shares of stock he owns.
As given that Eric owns shares of a certain stock. If he sells off 8 shares each month for a year.
Let Eric owns x shares of a certain stock.
If he sells off 8 shares each months for a year.
So as we know that in a year have 12 months.
In 1 month = 8 shares sells
12 months = 12×8 shares sells
12 months = 96 shares sells
So in a year Eric sells 96 shares and he have total x shares.
So the remaining shares are x-96.
Hence, the change in the number of shares of stock he owns, is x-96.
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On the first four tests of the term your average is 84% . You think you can score 96% on each of the remaining tests. How many consecutive test scores of 96% would you need to bring your average up to 90% for the term?
Answers
To bring the average up to 90%, you would need to get a score of 96% in 7 consecutive tests.
The first four tests have an average of 84% and the student is looking to achieve a 90% average by scoring 96% on the remaining tests. Let the number of remaining tests be x.
Then, we can set up the equation as:(84*4 + 96x)/ (4 + x) = 90
Simplifying this equation, we get:336 + 96x = 360 + 90x
Solving for x, we get:x = 6
This means there are 6 remaining tests.
To find out how many consecutive 96% scores are needed to bring the average up to 90%, we can set up the equation as:(84*4 + 96*6)/ 10 = 90
This simplifies to:744/10 = 90
Multiplying both sides by 10, we get:744 = 900
To find the number of consecutive 96% scores, we can use the following equation: (84*4 + 96x)/ (4 + x) = 90, where x is the number of consecutive tests.
Substituting the values, we get:(84*4 + 96x)/ (4 + x) = 90
Solving for x, we get:x = 7
Hence, the number of consecutive 96% scores required to bring the average up to 90% is 7.
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Is (3, 28) a solution to 4x-y=-16
Answers
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
The function f is differentiable on the closed interval [-6,5]. The graph of f, the derivative of f, consists of a semicircle and three line segments, as shown in the figure below. -6, 2) (3, 2) Graph of f (a) On what intervals is f increasing? Decreasing?
Answers
The function increasing on interval [0, 3] and decreasing on the interval [-6, 0] ∪ [3, 5].
What is increasing and decreasing function?
For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
F is rising on the interval if f′(x) > 0 on an open interval.
F is decreasing on the interval if f′(x) < 0 on an open interval.
We have to find the intervals of increasing and decreasing function from the given graph.
From graph we can see that graph is increasing on the interval [0, 3].
And decreasing on the interval [-6, 0] ∪ [3, 5].
Hence, the function increasing on interval [0, 3] and decreasing on the interval [-6, 0] ∪ [3, 5].
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Which graph shows line symmetry about the y-axis? On a coordinate plane, a curve is asymptotic to the x-axis and y-axis in quadrant 4. On a coordinate plane, a curve goes through one and one-half cycles. For the first curve, the maximum is at (negative 3, 1) and the minimum is (0, negative 1). For the half curve, the maximum is at (3, 1). On a coordinate plane, two straight lines connect at (0, 0). The first line has a negative slope and goes through (negative 1, 3). The second line has a negative slope and goes through (3, negative 1). On a coordinate plane, a curve has a minimum point at (negative 2.5, negative 5) and a maximum point at (2.5, 5).
Answers
Answer:
Assuming its the same it ended up being B
Step-by-step explanation:
I kinda half guessed, basically, if you can flip it up or down on the y axis and if looks the same then it's symmetrical.
Answer:
B
Step-by-step explanation:
Question 3 of 10
Classify the following triangle. Check all that apply.
11.9 , 7,6,11.9
A.Scalere
B. Right
C. Isosceles
D. Equilateral
E. Obtuse
F .Acute
Answers
Answer:
Step-by-step explanation:
An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.
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You have 7 green apples and 5 red apples. How many different, unique ways can you sort these apples keeping track of order
Answers
There are 792 different, unique ways you can sort the 7 green apples and 5 red apples while keeping track of the order.
To determine the number of different, unique ways you can sort the 7 green apples and 5 red apples while keeping track of the order, you can use the concept of permutations.
Since you have a total of 12 apples, the number of ways to arrange them can be calculated using the formula for permutations of objects with repetition.
In this case, we have 7 green apples and 5 red apples, so the formula becomes:
P(12; 7, 5) = 12! / (7! * 5!)
Calculating this expression, we get:
P(12; 7, 5) = (12 * 11 * 10 * 9 * 8 * 7 * 6) / (7 * 6 * 5 * 4 * 3 * 2 * 1) * (5 * 4 * 3 * 2 * 1)
Simplifying, we have:
P(12; 7, 5) = 792
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Please help me :( The diagram shows ARST. Which term describes point U?
OA. Orthocenter
O B. Incenter
OC. Centroid
O D. Circumcenter
Answers
because the segments bisect an angle
The term U describes the incenter of the given triangle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
STR is a given triangle.
Let us understand the differences between Orthocenter, Incenter, Centroid and Circumcenter.
Circumcenter is the point of which is equidistant from all the vertices of the triangle.
Incenter is the point of which is equidistant from the sides of the triangle.
Orthocenter is the point at which all the altitudes of the triangle intersect.
centroid is the point of intersection of the medians of the triangle.
By observing this we can tell that U is the incenter of the triangle RST.
Hence, the term U describes the incenter of the given triangle.
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Which type of symmetry does this figure have?
Answers
Answer:
reflection and rotation
Step-by-step explanation:
jack ran 1.5 kilometers on the treadmill, then walked 475 meters before running another 2.5 kilometers how many kilometers did jack do in all
Answers
a = run 1.5km
b = then run 2.3km
c = walk 475m
x = a + b + c = how many km he done on treadmill
before we go anywhere, we need to unify the units, we need to change meters to fraction of kilometers, kilo meant 1000, therefore:
1km = 1000m
475m / 1000m = 0.475km
now we can substitute:
x = a + b + c = 1.5km + 2.3km + 0.475km = 4.275km
we can round that up to first decimal point and then:
4.275km = 4.3km
answer is then:
jack done on the treadmill 4.275km or rounded up 4.3km
which integer is seven units to the right of -4 ?
Answers
Answer:
3
Step-by-step explanation:
-4 plus 7 is 3
If A and B are 2 times 2 with columns a_1, a_2, and b_1, b_2, respectively, then AB = [a_1 b_1 a_2 b_2]. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. AB + AC = A (B + C) A^T + B^T = (A + B)^T The transpose of a product of matrices equals the product of their transposes in the same order. If A and B are 3 times 3 and B = [b_1 b_2 b_3], then AB = [Ab_1 + Ab_2 + Ab_3]. The second row of AB is the second row of A multiplied on the right by B. (AB)C = (AC) B (AB)^T = A^T B^T The transpose of a sum of matrices equals the sum of their transposes.
Answers
A and B are 2 x 2 with columns a1, a2, and b1, b2, respectively. AB = [a1 b1 a2 b2].
Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A.So, we have:AB=⎡⎣⎢⎢a1a2⎤⎦⎥⎥[b1b2]=[a1b1+a2b2a1b1+a2b2]The order of AB is 2 × 2.Therefore, the blank will be filled by "2 × 2". Hence, the answer is 2 × 2.
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sin a + cos a/sec a+ cosec a= sin a* cos a
Answers
Answer:
See proof below
Step-by-step explanation:
sin a + cos a/sec a+ cosec a= sin a* cos a
(sina+cosa)/(sec a + cosec a)
In trigonometry identity
seca = 1/cos a
cosec a = 1/sin a
Substituted into the given expression
= sina + cosa/(1/cosa+1/sina)
Find the LCM
= sina + cosa /(sina+cosa/sinacosa)
= (sina+cosa) * sinacosa/(sina + cosa)
= sinacosa (RHS)
This shows that the equation is true
find the volume of the prism below
Answers
The volume of the prism with given dimensions in the figure is equal to 612√3 cubic millimeter.
The dimensions of the triangular prism are,
Base of the triangle 'B' = 12mm
let us consider 'h' be the height of the triangle base.
Which intersect base at midpoint
height of the triangle 'h' = √ 12² - 6²
= √108
= 6√3mm
Side length of the prism 'l' = 17mm
Volume of the triangular prism
= ( 1/2 ) × Base × height × length of the side
= ( 1/2 ) × B × h × l
Now , substitute the values we have,
⇒ Volume of the triangular prism = (1/2) × 12 × 17 × 6√3
⇒ Volume of the triangular prism = 612√3 cubic millimeter.
Therefore, the volume of the triangular prism is equal to 612√3 cubic millimeter.
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what fraction (x) of your actual weight would a scale at the equator read if earth days were merely 2 hours long?
Answers
If earth days merely 2 hours long, which means the rotation period of the earth is 2 hours, your weight will become 1/144 of your actual weight.
The weight or gravitational force on a mass can also be considered as centripetal force.
The formula for the centripetal force is:
F = m v²/R
In this case,
m = your mass
v = tangential velocity or earth's rotation speed
R = earth's radius
Recall that speed = distance / time. In the problem, the distance is the circumference of the earth and the travelled time is the rotation period.
v = C/t
t₁ = 24 hours
t₂ = 2 hours
Since the units are the same, we do not need to convert the unit when comparing them.
Notice that the centripetal force is directly proportional to the square of rotation speed.
F ∝ v²
Hence,
F₁ : F₂ = v₁² : v₂²
But v is inversely proportional to rotation period. Hence,
F₁ : F₂ = t₂² : t₁²
F₁ / F₂ = (t₂ /t₁)²
F₁ / F₂ = (2 /24)²
F₁ / F₂ = (1 /12)²
F₁ / F₂ = 1/144
Hence, your weight will be 1/144 of your actual weight.
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Juan ran the lemonade stand for 3 more days after his
first day profit of $12. Each day, he used the money
from sales to purchase more lemons, cups, and sugar
to make more lemonade. The table shows how much
he spent and earned each day
What is the expression needed to find his total
eamings?
52
16-7-22 - 12 - 18-9
16-22-18-7-12-9
16-22-18-7-12-9
16 - 7 + 22-12-18-9
Answers
The answer: C/16 + (–7) + 22 + (–12)
Find the volume of the cylinder (rounded to the nearest tenth).9 in.3 in.
Answers
We have the next formula to calculate the volume of the cylinder
\(V=\pi r^2h\)where
r is the radius
h is the height
in our problem
r=3in
h=9in
we substitute the values
\(V=\pi(3)^2(9)=254.46in^3\)the volume round to the nearest tenth is V=254.5 in ^3
For the x-values 1, 2, 3, and so on, the y-values of a function form
an arithmetic sequence that decreases in value. What type of
function is it?
A. Decreasing linear
ОО
B. Exponential growth
C. Exponential decay
d
D. Increasing linear
Answers
Answer:
A. Decreasing linear
Step-by-step explanation:
please help last question (brainliest) ! Mary ann and carlos are each saving for new scooters. Their savings are shown. Let x represent the number of hours each person works y represent the total earnings in dollars
A: What is the difference in their savings after working 3 hours
1. Mary Ann has saved $2 more than Carlos
2. Carlos has saved $8 more than Mary Ann
3. Carlos has saved $2 more than Mary Ann
4. Mary Ann has saved $6 more than Carlos
Answers
Answer: 1. Mary Ann has saved $2 more than Carlos
Step-by-step explanation: At 3 hours...
Carlos has $26 according to chart
Mary Ann has...
y=6(3)+10
y=18+10
y=28
so
28-26=2
she has 2 more dollars than him
The difference in their savings after 3 hours of working is option 1. Mary Ann has saved $2 more than Carlos.
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.
Given are two linear functions.
Let x represent the number of hours each person works y represent the total earnings in dollars.
Savings of Mary Ann is represented as,
y = 6x + 10
Savings of Carlos is represented in the graph shown.
After working 3 hours,
Savings of Mary Ann = (6 × 3) + 10 = $28
From the graph,
Savings of Carlos = $26
Difference in the savings = $28 - $26 = $2
Hence Mary Ann has saved $2 more than Carlos.
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There were 24 teams at a soccer tournament. In all, 12 teams wore red shirts, 6 teams wore blue shirts, 4 teams wore orange shirts, and 2 teams wore white shirts.
Answers
Answer:
1rst one is 3:2 the second one is 1:2 and third is 1:12 if i remember
Step-by-step explanation:
The total number of teams at the soccer tournament was 24.
The information about the number of teams and the shirts they wore at the soccer tournament.
To summarize:
12 teams wore red shirts
6 teams wore blue shirts
4 teams wore orange shirts
2 teams wore white shirts
To find the total number of teams, add up the number of teams for each shirt color:
Total Teams = 12 (Red) + 6 (Blue) + 4 (Orange) + 2 (White) = 24 teams
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The area of a rectangle is 48 square feet with a length of 8 feet. Solve the equation 8W=48 to find the width of the rectangle.
A. W= 40 feet
B. W= 16 feet
C. W= 8 feet
D. W = 6 feet
Answers
Answer:
b=w+8cm because it is longer.
Therefore A= w(w+8)=48
Answer: w(w+8)=48.
Step-by-step explanation:
Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.
Answers
The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
What is the sequence converges or diverges?A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.
The given sequence is 1/117659, 1/16807, 1/2401...
Here, common ratio is
1/16807 ÷ 1/117659
= 1/16807 × 117659/1
= 117659/16807
= 7
Now, 1/2401 ÷ 1/16807
= 1/2401 × 16807/1
= 16807/2401
= 7
Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.
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Please answer this question asap it's due tomorrow
Answers
Answer:
B
Step-by-step explanation:
It only has numbers less than 1, when multiplying that means you can't get over 1
the answer is B
hope this helps : )
3) determine the value of
(-6) x (-3)
Answers
- × - = +
6×3 = 18
= 18
a gaming server charges a one time membership fee of 25$ and 7$ per game. another server doesn't charge over time fee, but charges 12$ per game. how many games must you rent in order for the cost of the servers to be the same?
Answers
Using linear functions, it is found that you need to rent 5 games for the costs of the servers to be the same.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the membership fee as the intercept and the cost per game as the slope, the functions are:
A(x) = 7x + 25.B(x) = 12x.The costs are the same when:
B(x) = A(x)
12x = 7x + 25
5x = 25
x = 5.
Hence you need to rent 5 games for the costs of the servers to be the same.
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