\( \boxed{\rm{Similarity \: shape}}\)
\(\begin{aligned} \frac{AB}{DE}&= \frac{BC}{EF}\\ \frac{36}{24}&=\frac{15}{x} \\ x &= \frac{\cancel{^{ \green{2}}24} \times 15}{\cancel{36_{ \green{3}}}} \\ x&= \frac{2 \times 15}{3} \\ x &= \bold{10} \\ \\\small{\blue{\mathfrak{That's \: it \: :)}}} \end{aligned}\)
Find the area of a rectangle whose sides are 2a and 3a
Answer:
6a^2
Step-by-step explanation:
2a x 3a
a x a = a^2
2 x 3 = 6
2a x 3a = 6a^2
2a × 3a
a × a = a²
2 × 3 = 6
2a × 3a = 6a²
Step-by-step explanation:
✯Hope this helps✯✿..๑...Ziddi girl ♡..✧
Class members that should be public are:
I. Constructors
II. Instance Variables
III. Accessors/ Mutators
IV. Methods the class uses for itself, but the user does not need
V. Methods the user needs to manipulate the objects of the class
a. I, II, IV
b. I, II, III
c. I, III, V
d. I, II, III, V
Class members that should be the public are: Constructors, accessors/ mutators and methods the user needs to manipulate the objects of the class. The correct answer is c. I, III, V.
What is class members?All members declared in a class as well as all members (apart from constructors and finalizers) defined in all classes in its inheritance structure are considered to be members of the class. Although they are inherited, derived classes cannot access private elements of base classes.
Class members are all the members (apart from constructors and destructors) defined in the class, as well as all the classes in its inheritance structure. Members of a class may be any of the following: Constant values represented by constants. Variables represented by fields.
If you want the class to be instantiated from anywhere, you must make the constructor public. If you want a class to be inheritable and its inherited classes to be instantiated, you must make the constructor protected.
A technique used to regulate changes to a variable is known as a mutator method. They're also frequently referred to as setter methods. A getter, often referred to as an accessor, frequently follows a setter and returns the value of the private member variable.
Therefore, the correct answer is (c). I, III, V.
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Triangle ABC IS dilated using the origin as the center of dllation to create triangle A'B'C'. What rule best represents the dilation applied to triangle ABC to
Kaleb arranges the numbers and symbols to an expression that equals 16.What expression does he make? 3 15 21 ÷ -
Step-by-step explanation:
\(21 - 15 \div 3 \\ \)
Two fifths of the vegetables in priyas garden are tomatoes. How many tomatoes are there if priyas garden has 20 vegetables
Answer:
8 tomatoes
Step-by-step explanation:
We can find the number of tomatoes by multiplying 2/5 by 20.
(2*20)/5 = 40/5 = 8
Which of the equations below could be the equation of this parabola?
OA y--¹x²
OB. x--²
C. x-²
D. y - x²
10
(0,0)
Vertex
10
An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).
How to determine the equation of a parabola?In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:
x = a(y - k)² + h.
Where:
h and k represent the vertex.a represent the leading coefficient.By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:
h = 0
k = 0
a = positive.
x = a(y - k)² + h.
x = a(y - 0)² + 0.
x = ay²
Therefore, a possible equation is x = 1/12(y²).
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I’m really confused please help me
========================================================
Explanation:
Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.
Each of the triangles are isosceles. Let x be the measure of the base angles.
Use the rule that adding the three angles of a triangle gets us 180
angle1+angle2+angle3 = 180
x+x+72 = 180
2x+72 = 180
2x = 180-72
2x = 108
x = 108/2
x = 54 is the answer
----------------------
Another way to get the answer:
i = interior angle of a regular polygon with n sides
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
Each interior angle of a regular pentagon is 108 degrees.
Angle x marked in blue is half that, so it is 108/2 = 54 degrees
----------------------
A third method:
E = exterior angle of a regular polygon with n sides
E = 360/n
E = 360/5
E = 72 degrees is the measure of each exterior angle
i = 180 - E
i = 180-72
i = 108 is the measure of each interior angle.
To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds
The correct total weight of the bags of granola is 8 1/4 pounds.
One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.
In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.
To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:
2 + 2 + 3 = 7 (sum of whole numbers)
1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)
Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.
By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.
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The probable question may be:
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.
what is one thing that you could do to Roberto's Reasoning
if a substance has a half life of one day and an initial amount of 100 grams, how many grams will be left after 2 days
Answer:
There will be 25 grams left after 2 days.
Step-by-step explanation:
Half-life describes the amount of time it takes for a cell to turn from one condition to another.
To find the amount of grams for the second day, divide 100 by 2.
100 ÷ 2 = 50
Now, to find the amount of grams for the third day, we need to divide 50 by 2.
50 ÷ 2 = 25
Therefore, there will be 25 grams left after 2 days.
Hope this helps! :D
The table shown below gives the estimated number of text messages sent in the U.S. by year.
Approximately how many times as many text messages were sent in the U.S. in 2011 as in 2005?
Year Text messages sent in the U.S.
2005 118,000,000,000
2007 577,000,000,000
2009 1,198,000,000,000
2011 2,357,000,000,000
Choose 1 answer:
A.) 2*10^1
B.) 4*10^1
C.) 2*10^3
D.) 4*10^3
Answer:
A)
Step-by-step explanation:
2005: 118000000000
2011: 2357000000000
Option A) = 20
118000000000 * 20 = 2360000000000
2360000000000 is approximately close to 2357000000000
A deposit of $225 as an integer
Answer:
225
Step-by-step explanation:
A deposit is positive, so a deposit of $225 as an integer (number) would be 225I hope this helps!
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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Given a = 4, b = -2 and c = 8, evaluate ab - bc. -4 -24 8
Answer:
-244
Step-by-step explanation:
(4)(−2)−(−2)(8)−4−248
Answer:
8
Step-by-step explanation:
ab - bc
(4)(-2) - (-2)(8)
= 8
The amourt of time tatil an acciden. occurs at an industrial facility follows an exposential distrbution with mean 40 days. a) What is the probability that the next accident occurs betw_en 50 and 100 days?b) Wat is the prooability that the time until an accident occur. exceeds the mear. time by more than 2 stai.dard deviations? c) Sunpose it has been at least 30 days with no accidents. What is the probability that it will be at least 80 days until an accident occurs? d) What is the value of the median time until an accident rccura?
a) Probability that the next accident occurs between 50 and 100 days = 0.2044198
b) Probability that the time until an accident occur exceeds the mean time by more than 2 standard deviations = 0.04978707
c) The probability that it will be at least 80 days until an accident occurs = 0.2865048
d) the value of the median time until an accident occurs = 27.7258
Median time
The median is the mean between the data point of rank. n ÷ 2 = 8 ÷ 2 = 4. and the data point of rank. (n ÷ 2) + 1 = (8 ÷ 2) +1 = 5. Therefore, the median time is (25.2 + 25.6) ÷ 2 = 25.4 secondsa) Let T be the amount of time until an industrial facility accident occurs.
Daily rate lambda = 1/Mean = 1/40
Exp(lambda = 1/40), T
If the distribution is exponential,
P(T t) = 1 - exp (-lambdat) = 1 - exp(-t/40)
P(50 T 100) is the probability that the next accident will occur between 50 and 100 days.
= P(T < 100) - P(T < 50)
= (1 - exp(-100/40)) - (1 - exp(-50/40))
= exp(-1.25) (-1.25) - exp(-2.5) (-2.5)
= 0.2865048 - 0.082085
= 0.2044198
b) Standard deviation = Mean = 40 in the case of an exponential distribution.
The probability of the next accident occurring exceeds the mean time by two standard deviations.
= P(T > 40 + 2 * 40)
= P(T > 120)
= exp(-120/40)
= exp (-3)
= 0.04978707
c) Given that there is no accident until 30 days, the likelihood is that it will be at least 80 days before an accident occurs.
= P(T > 80 | T > 30)
= P(T>80 and T>30) / P(T>30)
= P(T > 80) / P(T > 30)
= p(- 80/40) / exp(- 30/40)
= exp(-50/40) = (-1.25)
= 0.2865048
d) If the distribution is exponential,
P(T t) = 1 - exp(-lambdat) = 1 - exp(- t/40).
P(T t) = 0.5 for the median value Tm.
1 - exp(-Tm/40) = 0.5
exp(-Tm/40) = 0.5
-Tm/40 = log (0.5)
-Tm/40 = -0.6931472
Tm = 40 * 0.6931472
= 27.72589 days
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At a restaurant, Mike and his three friends decided to divide the bill evenly. If each
person paid $13 then what was the total bill? I know the bill is $52 . I need help writing a formula
Step-by-step explanation:
Let x represent the number of people.
13x = 52
solve the equation 11.9=-23.8x
Answer:
x = − 0.07983193
Step-by-step explanation:
260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys
Answer:
We need a picture of the screen plz
Step-by-step explanation:
Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
5.87998 + 3.100 = [?]
The answer after performing mathematical operation is 8.97998 .
What is mathematical operations?
In order to add, subtract, multiply, or divide two or more quantities, one must perform a series of four fundamental operations known as mathematical operations. They involve the study of numbers and the order of operations, which are important in all other areas of mathematics like algebra, data processing, and geometry. Without employing mathematical operation rules, we are unable to solve the issue. The addition, subtraction, multiplication, and division operations all follow the same four fundamental rules.
Here the given ,
=> 5.87998 + 3.100
=> 5.87998
+ 3.10000
--------------------
8.97998
=> 5.87998+3.100=[8.97998]
Hence after performing mathematical operations the answer is 8.97998.
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NEED THIS ANSWER IN 5 MINS PLSGraph parabola functions
What is the solution to -5m = -40?
A. m = -8
B. m = 200
C. m = -200
D. m = 8
please fill in the blanks of the question i sent a pic of
The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.
What is the center and the radius of the circle?
In this question we must determine the location of the center and the measure of the radius of a circle. According to Euclidean geometry, diameters are the longest possible chords of a circle. First, we determine the location of the center by definition of midpoint:
(h, k) = (1/2) · (4, 5.5) + (1/2) · (4, 10.5)
(h, k) = (4, 8)
And the radius is found by Pythagorean theorem:
\(d = \sqrt{(4 - 4)^{2}+(10.5-5.5)^{2}}\)
d = 5
r = 0.5 · 5
r = 2.5
The location of the center of the circle is (h, k) = (4, 8) and the radius of the circle is equal to 2.5.
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What is the absolute value of the number indicated on the number line below?
A. -2 2/3
B. 2 2/3
C. -2 1/2
D. 2 1/2
Answer:
D, because in between -3 and -2 is -2 1/2, and absolute values are not negative, so the answer is 2 1/2, or D
Answer:
C.
Step-by-step explanation:
Evaluate each function.
g(n) = 3n + 3; Find g(-3)
Answer:
g(-3) = - 6Step-by-step explanation:
g(n) = 3n + 3
To find g(-3) , substitute the value of n that's - 3 into g(n). That is for every n in g(n) replace it with - 3
We have
g(-3) = 3(-3) + 3
= - 9 + 3
We have the final answer as
g(-3) = - 6Hope this helps you
what is 2 + 2= i need to know
Answer:
4 but what 1x1
Step-by-step explanation:
A passenger train leaves depot 2 hours after a freight train leaves the same depot. The freight train is traveling 18 mph slower than the freight train find the rate of each train if the passenger train over, takes the freight train in 3 hours
Answer:
The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.
Step-by-step explanation:
Let's assume the speed of the passenger train is represented by x mph.
According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.
Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.
Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.
Since speed = distance/time, we can set up the following equation based on the distances covered by each train:
Distance covered by passenger train = Distance covered by freight train
Using the formula, distance = speed × time, we get:
x × 3 = (x - 18) × 5
Simplifying the equation:
3x = 5x - 90
90 = 5x - 3x
90 = 2x
Dividing both sides by 2:
45 = x
So, the speed of the passenger train is 45 mph.
The speed of the freight train is 45 - 18 = 27 mph.
help me please this is late
To find explicit formulas, you need two things. The common difference and the first term.
For example, #18
The first term = -15
The common difference = -20 -(-15) = -20 + 15 = -5
y = A + B(n - 1)
A = our first term
B = our common difference
n = the term you want to find in the sequence.
Leta plug our numbers in from #18
y = -15 + -5(n - 1)
Let's find the 4th term in the sequence.
y = -15 + -5(4 - 1)
y = -15 + -5(3)
y = -15 + -15
y = -30
7(6x-1)+x=36
Please help
Answer:
x=1
I think that's what you're looking for.
Isolate the variable by dividing each side by factors that don't contain the variable.
Good luck, hope this helped.
HELP ASAP HELP ASAP HELP ASAP HELP ASAP
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6