Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
If 7 cans of dog food sells for $4.13, how much will 12 cans sell for?
12 cans = $ ????
Answer:
$7.08
Step-by-step explanation:
I'm pretty sure it correct but if not sorry
Answer:
12 cans = $49.56
bc
12 cans x 4.13 = $49.56
Step-by-step explanation:
if two events are complementary, they must also be mutually exclusive events. group of answer choices true false
The statement that is if two events are complementary, they must also be mutually exclusive events is False.
Because not all mutually exclusive occurrences are necessarily complimentary, whereas all complementary events are mutually exclusive.
Mutually excusive events are those events that do not occur at the same time.
Complementary events are those two events which are the only possible events.
Since P(A) + P(B) =1, A and B are possible events.Hence A and B are mutually exclusive and complementary events
Therefore the statement is false.
To learn more about the mutually exclusive and complementary events visit :
brainly.com/question/28565577
#SPJ4
Given: A_n = 30/3^n Determine: (a) whether sigma _n = 1^infinity (A_n) is convergent. _____
(b) whether {An} is convergent. _____
If convergent, enter the limit of convergence. If not, enter DIV.
As n increases, 3^n becomes larger, making the fraction 30/3^n approach zero. Therefore, the sequence {A_n} is convergent, and the limit of convergence is 0. (a) Σ(A_n) is convergent and (b) {A_n} is convergent with the limit of convergence equal to 0.
(a) To determine whether sigma _n = 1^infinity (A_n) is convergent, we need to take the sum of the sequence A_n from n=1 to infinity:
sigma _n = 1^infinity (A_n) = A_1 + A_2 + A_3 + ...
Substituting A_n = 30/3^n, we get:
sigma _n = 1^infinity (A_n) = 30/3^1 + 30/3^2 + 30/3^3 + ...
To simplify this, we can factor out a common factor of 30/3 from each term:
sigma _n = 1^infinity (A_n) = 30/3 * (1/3^0 + 1/3^1 + 1/3^2 + ...)
Now, we recognize that the expression in parentheses is a geometric series with first term a=1 and common ratio r=1/3. The sum of an infinite geometric series with first term a and common ratio r is:
sum = a / (1 - r)
Applying this formula to our series, we get:
sigma _n = 1^infinity (A_n) = 30/3 * (1/ (1 - 1/3)) = 30/2 = 15
Therefore, sigma _n = 1^infinity (A_n) is convergent, with a limit of 15.
(b) To determine whether {An} is convergent, we need to take the limit of the sequence A_n as n approaches infinity:
lim n->infinity (A_n) = lim n->infinity (30/3^n) = 0
Therefore, {An} is convergent, with a limit of 0.
(a) To determine if the series Σ(A_n) from n=1 to infinity is convergent, we can use the ratio test. The ratio test states that if the limit as n approaches infinity of the absolute value of the ratio A_(n+1)/A_n is less than 1, the series converges.
For A_n = 30/3^n, we have:
A_(n+1) = 30/3^(n+1)
Now let's find the limit as n approaches infinity of |A_(n+1)/A_n|:
lim(n→∞) |(30/3^(n+1))/(30/3^n)| = lim(n→∞) |(3^n)/(3^(n+1))| = lim(n→∞) |1/3|
Since the limit is 1/3, which is less than 1, the series Σ(A_n) converges.
(b) To determine if the sequence {A_n} is convergent, we need to find the limit as n approaches infinity:
lim(n→∞) (30/3^n)
As n increases, 3^n becomes larger, making the fraction 30/3^n approach zero. Therefore, the sequence {A_n} is convergent, and the limit of convergence is 0.
To learn more about limit of convergence, click here:
brainly.com/question/31402403
#SPJ11
Computer equipment was acquired at the beginning of the vear at a cout of $73,700 that has an estimatod resduat value of 34,600 and an eatimated ustul life of 5years. a. Determine the depreciable cost. b. Determine the straight-tine rate. \% c. Determine the annual straight-hine depreciation.
The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.
a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.
b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.
c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.
By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.
Learn more about depreciation here:
https://brainly.com/question/17827672
#SPJ11
Please help, will give brainliest answer
I do khan academy 2 but sorry the answer
All of the following are included in the calculation of accounting profit EXCEPT which of option?
Choose 1 answer:
А
variable costs
B
total revenue
explicit costs
implicit costs
fixed costs
khan academy
Answer:
a
Step-by-step explanation:
Answer:
Implicit costs
Step-by-step explanation:
Accounting profit is known as the profit during accounting.
The formula given by
Accounting profit=Total revenue -Explicit costHence implicit cost is wrong
Eighteen students passed the Science Test. If 18 students is 72% of the total number of students in the class, how many students are in the class?
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let the total number of students in the class= x
No. of students who passed the test = 18 = 72% of x = 72x/100
Therefore, 72x/100=18
=72x=18*100=1800
=x=1800/72= 25 students.
Hence, total number of students in the class= 25 students
6. Determine whether 2 is the x-intercept or the y-intercept of the line y = 2x +2
a rotating sprinkler can reach up to 14 feet through a 300 degree angle. find the total area covered by the sprinkler in one sweep. round to the nearest tenth. What is the area of the lawn, to the nearest square foot, that receives water from this sprinkler?
In one sweep, the area covered by the sprinkler is 77.19 sq ft (approx). The area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).
We know that a rotating sprinkler can reach up to 14 feet through a 300-degree angle. Area covered by the sprinkler in one sweep = area of the sector whose radius = 14 feet and angle = 300°Area of sector = (θ / 360) × πr²Where θ = 300°, r = 14 ftArea of sector = (300/360)× π(14)²= 77.19 sq ft (approx) Therefore, the area covered by the sprinkler in one sweep is 77.19 sq ft (approx).
We need to find the total area of the lawn that receives water from this sprinkler. The sprinkler rotates 360 degrees, so it will cover a full circle whose radius is 14 feet. Area of a circle = πr²= π(14)²= 615.752 sq ft (approx) Therefore, the area of the lawn, to the nearest square foot, that receives water from this sprinkler is 616 sq ft (approx).
To know more about area visit:-
https://brainly.com/question/1631786
#SPJ11
PLEASE ASAP SOMEONE HELP
Accoding to the information, the equation would be: Weight = 48.411 + 70.870 * Fuel Capacity and the predicted weight of a small motorcycle would be 618.66 pounds.
How to find the equation for linear regression model?To find the equation for a linear regression model, we need to find the slope and y-intercept of the line that best fits the data. According to the above, we can infer that the equation is:
Weight = 48.411 + 70.870 * Fuel Capacitywhere, Weight = dependent variableFuel Capacity = independent variable48.411 = y-intercept70.870 = slopeOn the othe hand, to evaluate how well the linear regression equation fits the model, we have to look at how closely the trendline (represented by the equation) matches the pattern of the data points. So, we can see that the trendline appears to capture the overall trend in the data fairly well, with a positive slope that reflects the general pattern of increasing weight with increasing fuel capacity.
How to predict the weight of a small motorcycle?To use the linear regression model to predict the weight of a small motorcycle with a fuel capacity of 6 gallons, we can simply plug in the value of 6 for Fuel Capacity in the equation:
Weight = 80.72 * Fuel Capacity + 31.72Weight = 80.72 * 6 + 31.72Weight = 498.84 poundsAccording to this prediction, a small motorcycle with a fuel capacity of 6 gallons would have an estimated weight of approximately 498.84 pounds.
Learn more about weight in: https://brainly.com/question/31659519
a small retailer wanted to know whether people preferred additional morning or evening hours of operation. to collect the data, the owner stood outside the shop and surveyed the first 25 people who walked by. this is an example of:
The survey is an example of non-probability sampling
What is survey?A survey is a technique for acquiring data from a sample of people by asking pertinent questions with the goal of comprehending populations as a whole. Everyone involved in the information economy, from corporations to the media to the government and academia, relies on surveys as a vital source of information and insights.
There are four modes of surveys that are commonly used.
Face-to-face surveys Telephone surveys Self-administered paper and pencil surveys Online surveyThe survey is an example of non-probability sampling.
To know more about survey please visit:
https://brainly.com/question/12969136
#SPJ4
can someone help me with 11 please
Answer:
apples: 2, 4, 6, 8
oranges: 5, 10, 15, 20
Step-by-step explanation:
what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow
Step-by-step explanation:
First, you want to find the change in the top collum, and then the bottom collum.
The top collum seems to go up by 2, so it would be 2,4,6,8
The bottom collum seems to go up by 5 so it would be 5,10,15,20
And boom! there's ur answer!
Divide M by 7,and then subtract 4 from the quotient
Answer:
(M/7) - 4
Step-by-step explanation:
Divide M by 7
M/7
subtract 4 from the quotient
(M/7) - 4
The required expression will be M/7 - 4 which represents dividing M by 7, and then subtracting 4 from the quotient.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
To divide M by 7 and then subtract 4 from the quotient, you can follow these steps:
Divide M by 7 to find the quotient. This is written as M/7 = quotient.
Subtract 4 from the quotient. This is written as quotient - 4 = result.
For example, if M = 35, you would do the following:
Divide 35 by 7 to get a quotient of 5. This is written as 35/7 = 5.
Subtract 4 from the quotient of 5 to get a result of 1. This is written as 5 - 4 = 1.
Therefore, if you divide M by 7 and then subtract 4 from the quotient, the result is 1 when M = 35.
Learn more about the quotient here:
brainly.com/question/27796160
#SPJ2
If b = 3/x + 3/y
what is the value of 1/b
Answer:
xy / (3x + 3y)Step-by-step explanation:
Find b first:
b = 3/x + 3/yb = (3x + 3y)/xyFind 1/b:
1/b = 1 : (3x + 3y)/xy1/b = xy / (3x + 3y)which is most affected if an extreme high outlier is added to your data? A. the media B. the third quartile C. the first quartile D. the mean
The d) mean is the most affected by an extreme high outlier in a data set.
An extreme high outlier in a data set will have a greater impact on the mean, or average, of the data set.
This is because the mean is calculated by adding up all of the values in the data set and dividing by the number of values. If an extreme high outlier is added to the data set, it will significantly increase the sum of the values and, in turn, increase the mean.
The median (option A) is the middle value of the data set and is not as affected by outliers because it only considers the middle values.
The first quartile (option C) and third quartile (option B) are also not as affected by outliers because they only consider the lower 25% and upper 25% of the data set, respectively.
Hence Option D is correct.
For more similar questions on data:
brainly.com/question/13189580
#SPJ11
Please help 50 point !!
Answer:
The last one
Step-by-step explanation:
\(x^3+1=0\)
Subtract 1 from both sides
\(x^3+1-1=0-1\)
simplify
\(x^3=-1\)
\(\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}\)
\(x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}\)
simplify
\(x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}\)
(That's basically the last one but in a different way of writing it)
Answer:
The last one
Step-by-step explanation:
Subtract 1 from both sides
simplify
simplify
0.1(d-6)=0.15d+2.5-1.5+0.05d
Answer:
d= negative 16
Step-by-step explanation:
Answer:
0.1(d-6)=0.15d+2.5-1.5+0.05d
Step-by-step explanation:
Find the line parallel to y = -3x + 1 that passes through (9, 0). Plls Hurry I'm being timed
Answer:
1,4
Step-by-step explanation:
please help! Find the x intercept and the y intercept of the graph of the equation
Answer:
5y=10-2x
y=(10-2x)/5
2x=10-5y
X=(10-5y)/2
A pair of jeans was 30% off the original price. The sale resulted in a $24 discount. What is the original price in a percent
Answer:
$80
Step-by-step explanation:
The slope of the line that goes through (-3,-5) and (-3,-6) is______.
The slοpe οf the line that gοes thrοugh (-3,-5) and (-3,-6) is undefined.
What is slοpe?Slοpe is a measure οf the steepness οr incline οf a line. It represents the rate at which the line is rising οr falling, and is defined as the change in the y-cοοrdinate (vertical change) divided by the change in the x-cοοrdinate (hοrizοntal change) between twο pοints οn the line.
The slope of the line that goes through (-3,-5) and (-3,-6) is:
\($ \rm m = \frac{y_2 - y_1}{x_2 - x_1}\)
y2 - y1 = m(x2 - x1)
-6 - (-5)= m(-3 - (-3))
-6 + 5 = m(-3 + 3)
-1 = m0
m = -1/0
Thus, The slope of the line that goes through (-3,-5) and (-3,-6) is undefined.
This is because the x-coordinates of the two points are the same, which means that the line is vertical and has no defined slope. In other words, the line is parallel to the y-axis and does not have a rate of change with respect to x.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
Help!!! Will give brain list
Answer:
Elimination , $1.79
Step-by-step explanation:
You were correct with elimination! Good job , now to find the cost of fries we have to put elimination in practice. Elimination is subtracting one equation from the other to get the equation of one variable.
4x + 5y = 24.11
-4x + 3y = 20.53
2y = 3.58
2y/2 = 3.58/2
y = 1.79
Find remaining zereos of fdegree: 3, i, -7 i
1 - According to the conjugate zeros theorem if a complex number is the root of a polynomial its conjugate is a root as well.
2 - So the conjugates of i, -7i would be
-i, 7i, so
-i , 7i would ALSO be roots of the polynomial according to the conjugates zeros theorem and those are the two roots we were missing.
How do you find the surface area and the volume to a composite figure?
Answer:
वि स्कुल माध्यामिक विद्यालय निम्न माध्यामिक विद्यालय व्यवस्थापन समिति सम्पादन र प्रकाशनमा बुटवलबाट निस्कने एक्सरे साप्ताहिकमा एक पटक साप्ताहिकमा छापिएको थियो। प्रकाशित
Part E
Use your work from parts B through D to find an approximate value for the constant of proportionality, k, in the solar system. Round the answer and write it in scientific notation. Why might scientists find this value useful? (Consult the math review if you need help with scientific notation.)
This is from edmentum.
Answer:
sample answer for edmentum
Step-by-step explanation:
Origami is the Japanese art of paper folding. The diagram below represents
an unfolded paper kabuto, a samurai warrior's helmet. From the kabuto below,
which of the following are pairs of congruent angles?
Check all that apply.
OA. ZIRF and ZMRN
B. CRU and ZIRM
OC. ZQRT and ZQRU
OD. ZONT and MTN
The congruent angles are:
Congruent angles are angles that have the same degree measurement. In other words, they are equal in size or angle measure. For instance, if one angle measures 45 degrees and another angle also measures 45 degrees, these two angles are congruent.
The symbol for congruence is ≅. So, if angle A is congruent to angle B, it is written as ∠A ≅ ∠B.
Read more on congruent angle here:https://brainly.com/question/11949261
#SPJ1
What is this answer whoever could solve it is super smart
Answer: 3.19 feet.
Step-by-step explanation: 319 divided by 100 is 3.19
A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive
Step-by-step explanation:
3*85 <= 83+91+x <= 3*90
255 <= 174+x <= 270
81 <= x <= 96
Answer:
81 ≤ x ≤ 96
Step-by-step explanation:
85 ≤ (x + 83 + 91)/3 ≤ 90
85 ≤ (174 + x)/3, (174 + x)/3 ≤ 90
81 ≤ x ≤ 96
the diagonal of a rectangle is 450 millimeters, while the longer side is 393 millimeters. find the shorter side of the rectangle and the angles the diagonal makes with each side rounded to the nearest whole number.
The shorter side of the rectangle is approximately 237.25 millimeters, and the diagonal makes angles of approximately 41 degrees and 49 degrees with the longer and shorter sides, respectively.
Let us denote the shorter side of the rectangle as x. We can use the Pythagorean theorem to relate the length of the diagonal to the two sides of the rectangle:
diagonal^2 = longer side^2 + shorter side^2
Substituting in the given values, we get:
450^2 = 393^2 + x^2
Solving for x, we get:
x = √(450^2 - 393^2) ≈ 237.25 mm
To find the angles that the diagonal makes with each side of the rectangle, we can use trigonometry. Let θ be the angle between the diagonal and the longer side, and let φ be the angle between the diagonal and the shorter side. Then we have:
sin(θ) = shorter side / diagonal
sin(φ) = longer side / diagonal
Substituting in the given values and solving for θ and φ, we get:
θ ≈ 41 degrees
φ ≈ 49 degrees
To learn more about rectangle click on,
https://brainly.com/question/23850067
#SPJ4
Write an inequality to represent this situation.
Answer: x + 30.25 > 50
Step-by-step explanation: X is the amount need to reach 50 dollars or more.