What two congruent triangles share the side AC?
△AEB and △CEB
△GFA and △GDC
△ADC and △CFA
The two congruent triangles that share the side AC are (c) △ADC and △CFA
How to determine the congruent triangles?For two triangles to share the sides AC, then the points A and C must appear on the names of the triangles
In option (c), we have A and C in the names of the triangles ADC and CFA
Hence, the two congruent triangles that share the side AC are (c) △ADC and △CFA
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Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(x) = -(x+1)(x-3) ( x+ 2) are -1,3, and blank the y-intercept of the function is located at (0, blank)
Answer:
see explanation
Step-by-step explanation:
f(x) = - (x + 1)(x - 3)(x + 2)
to find the zeros let f(x) = 0 , that is
- (x + 1)(x - 3)(x + 2) = 0
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
the zeros are x = -1, 3 and x = - 2
to find the y- intercept let x = 0
f(0) = - (0 + 1)(0 - 3)(0 + 2) = - (1)(- 3)(2) = - (- 6) = 6
y- intercept is located at (0, 6 )
PLEASE HELPPPPPPP
What is the approximate area of the shaded region?
Answer:
69.53
Step-by-step explanation:
I did it on my calculator.
Which is a true statement about the dot plot?
The team never scored exactly 2 goals in a single game.
The team scored exactly 1 goal in 3 games this season.
The most goals the team scored in a single game were 8.
The team scored exactly 3 goals in 4 games this season.
The statement that is true about the given dot plot is: A. Exactly 2 goals was never scored by the team in a single game.
What is a Dot Plot?A dot plot is a graphical representation of data using dots to denote the frequency of one data point in a distribution.
In the dot plot given, for number of goals scored per game, the data point 2 has no dot. Therefore, the statement that is true about the dot plot is: A. Exactly 2 goals was never scored by the team in a single game.
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1. Solve the equation 2x ^ 3 + 7x ^ 2 - 10x - 24 = 0 in the real number system
The solution to the given equation in the real number system is x = 2 or x = -4 or x = -3/2
What is a real number system?A real number system comprises rational numbers, irrational numbers, integers, and whole numbers. When solving a polynomial in a real number system, we need to first factor the polynomial by grouping;
i.e.
= 2x³ + 7x ² - 10x - 24
= 2x³ + 11x² + 12x - 4x² - 22x - 24
= x(2x² + 11x + 12) - 2(2x² + 11x + 12)
= (x - 2) (2x² + 11x + 12)
= (x - 2) (2x² + 8x + 3x + 12)
= (x - 2) (2 (x² + 4x) + 3(x + 4))
= (x - 2) (2x (x + 4) + 3(x + 4) )
= (x - 2) (x + 4) (2x + 3)
In a real number system;
x = 2 or x = -4 or x = -3/2
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The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.
The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)
How to derive the equation of a parabola
Since the directrix is a horizontal line, then we have a parabola with a vertical axis of symmetry. The standard equation of the parabola is described below:
y - k = [1/(4 · p)] · (x - h)² (1)
Where:
(h, k) - Location of the vertex.p - Distance between vertex and focus.By analytical geometry we understand that the least distance between the focus and the directrix is twice as the distance between the vertex and the focus. First, we find the coordinates of the vertex:
V(x, y) = 0.5 · F(x, y) + 0.5 · D(x, y)
V(x, y) = 0.5 · (2, 5) + 0.5 · (2, 3)
V(x, y) = (1, 2.5) + (1, 1.5)
V(x, y) = (2, 4)
By Pythagorean theorem we find that the distance between vertex and focus is 1. Then, the equation of the parabola in standard form is:
y - 4 = 0.25 · (x - 2)²
y - 4 = 0.25 · (x² - 4 · x + 4)
y - 4 = 0.25 · x² - x + 1
y = 0.25 · x² - x + 5
The equation of the parabola in standard form whose focus is (2, 5) and directrix is y = 3 is equal to the quadratic equation y = 0.25 · x² - x + 5. (Correct answer: C)
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does someone mind helping me with this question? Thank you!
Answer: 81
Step-by-step explanation:
Since x is given, just substitute the value.
5(10) + 31
50 + 31 = 81
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
The given expression is :
[tex]\qquad \sf \dashrightarrow \:5x + 1[/tex]
now, plug in the values of x as 10
[tex]\qquad \sf \dashrightarrow \:5(10) + 31[/tex]
[tex]\qquad \sf \dashrightarrow \:50 + 31[/tex]
[tex]\qquad \sf \dashrightarrow \:81[/tex]
So, required value is 81
Which combination represents the empty set? motor ⋃ manual motor ⋃ bicycle motor ∩ manual motor ∩ bicycle
The combination that denotes the empty set{∅} is motor ∩ bicycle.
What is a set theory?Set theory is the mathematical study of well-defined groups of things called elements of the set.
In the given Venn diagram, the elements in the set of Motor, Manual, and Bicycle are as follows:
Motor = {8, 24}Manual = {24, 32}Bicycle = {44}The union of motor and manual i.e. Motor ⋃ Manual = {24}The combination that represents an empty set {∅} is the intersection that occurred between motor and bicycle and can be expressed as:
= motor ∩ bicycle
This is because there are no set elements overlapping between motor and bicycle, this makes it an empty set{∅}.
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Answer: motor U bicycle
Step-by-step explanation:
Question 2 of 40
How much more will $16,500 earn in interest than $15,000 if both are
invested in savings accounts with APYS of 4.1% for a year?
OA. $61.50
OB. $156.15
OC. $52.05
OD. $20.50
Please do step by step as to how you got the answer
Answer:
A
Step-by-step explanation:
We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.
We will use simple interest formula to solve our given problem.
I= prt
i= amount of interest
p=principal amount
r= interest rate in decimal form
t= time in years
4.1%= 41/100= 0.041
$16,500 times 0.041 - $15,000 times 0.041
(16,500- 15,000) times 0.041
(1,500) times 0.041
So the answer is $61.50
I hope this is right, have a nice day.
Help pleaseeeee. ill give 10 points
a sample of the students at a middle school is selected by writing the name of every student in the school on a slip of paper and putting all the names into a bin. the bin is then rotated to mix the slips of paper and 25 names are drawn without looking. if the bin is rotated after every draw, which kind of sampling method is this?
a. non-random sampling
b. simple random sampling
c. stratified random sampling
d. systematic random sampling
Answer:B
Step-by-step explanation: it's because you're choosing random peoplepeoplepeople
Simplify and express your answer in both polar and standard form.
Question 1
(7 cis(45°))²
Q2 below
(-2+2i√3)^5
Simplifying and expressing each term in standard and polar form are respectively; 49/2 and -512 - 512i√3
How to express an equation in polar form?
1) We are given the expression;
[7 cos (45)]²
We know that cos (45) in standard form is 1/√2. Thus;
[7 cos (45)]² = (7 * 1/√2)² = 49/2
2) We are given the expression;
(-2 + 2i√3)⁵
Using binomial theorem, we have;
(−2)⁵ + 5(−2)⁴ (2i√3) + 10(−2)³(2i√3)² + 10(−2)²(2i√3)³ + 5 * −2(2i√3)⁴ + (2i√3)⁵
Simplifying each term gives;
−32 + 160i√3 + 960 − 960i√3 −1440 + 288i√3
⇒ -512 - 512i√3
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Which represents a perfect cube? 8 times 8 times 8 8 8 8 9 times 9 times 9 times 9 9 9 9 9 9
Answer:
by o of u 999987ui87 u ko9h u kgnnh b mjuokkwuij
Simplify the expression (5 ÷ 5) + 5x (5²-5)
If you exchange 120 dimes
for dollars, then how many
dollars would you get?
Answer:
12
Step-by-step explanation:
you divide 120 by 10 since dimes are equal to ten cents
To determine how many dimes are in dollars:
⇒ must know the rate of conversion
⇒ for every dollar, there are 10 dimes
⇒ [tex]\frac{1_. dollar}{10_. dimes}[/tex]
Let's solve:
[tex]120_. dimes * \frac{1_.dollar}{10_.dimes} = \frac{120}{10} *\frac{dimes}{dimes} *dollar=12_.dollars[/tex]
Thus you would get 12 dollars
Answer: 12 dollars
Hope that helps!
Drag the tiles to the correct boxes to complete the pairs. Match each inequality to the number line that represents its solution
The correct match of the inequalities will be given as:-
A ( x - 51 ≤ 43
B ( x -99 ≤ -104
C ( 75 < 69 - x )
D ( 150+x ≤ 144 )
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The correct pair of the inequality will be calculated as:-
A ( x - 51 ≤ 43) x ≤ 8
B ( x -99 ≤ -104 x ≤ -5
C ( 75 < 69 - x ) x < -6
D ( 150+x ≤ 144 ) x ≤ -6
Hence the correct order is explained above.
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Simplify:
4 + (15 - 14) x 6
Answer:
First you start with what is in the ( ). 15- 14 is 1. then you do multiplication next. 1* 6. is 6. now you do addition. 6 + 4 = 10
I kinda need an explanation on how to solve this.
Answer:
36.
Step-by-step explanation:
There were 10 elephants that were marked. Only 4 of those were counted. The other 26 were new elephants. Because of this, we know that there were 6 other elephants that were not counted. There were the 30 counted, and the other 6. Add those and you get 36.
Answer:
75 elephants
Step-by-step explanation:
This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.
__
We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.
estimated population = 2.5 × 30 = 75 . . . elephants
Monday
The solution of 87e0.3x = 5918, to the nearest
thousandth, is
A. 0.583
B. 1.945
C. 4.220
D. 14.066
Answer:
[tex]D) ~ 14.066[/tex]
Step-by-step explanation:
[tex]~~~~87e^{0.3x} = 5918\\\\\implies e^{0.3x} = \dfrac{5918}{87}\\\\\implies \ln\left(e^{0.3x} \right)=\ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x \ln e = \ln \left( \dfrac{5918}{87} \right)\\\\\implies 0.3x = \ln \left( \dfrac{5918}{87} \right)\\\\\implies x = \dfrac{\ln \left( \dfrac{5918}{87} \right)}{0.3}\\\\\implies x \approx14.066[/tex]
Find the value of each card and put them in order, from lowest to highest.
Answer:
The highest is 1 but i cannot work out the rest
Step-by-step explanation:
Bidmas
Every Fraction can be written as a decimal that will be either a/an________ decimal number or a/an _________ decimal number
Answer:
Every fraction can be written as a decimal that will be either a decimal number or a decimal number
Hehe hope its helpful :-P
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
The graphs with no solutions are the ones with no intercepts between the curves. These are the first one and the last one.
Which graphs indicate equations with no solutions?If we have an equation like:
f(x) = g(x).
One way of finding the solutions is to graph:
y = f(x) and y = g(x) and see where the two curves intercept.
From that, the graphs where the curves do not intercept are the graphs that indicate that the equations have no solutions.
The two graphs with no intercepts are the first one (top left) and the last one (bottom right), so these are the correct options.
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Answer:
kid named finger
Step-by-step explanation:
I simply just used a form of alien math solving and I got my answers but I'm not willing to share
Ten years ago, you invested most of the money you made during that summer into an Energy drink stock. You purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%. However, the Energy drink stock consistently declined by 3.65% each year until the present.
a) Write an equation to model this situation.
b) Estimate the value of the stock today. How much did you gain/lose?
c) Assuming the stocks rate of decline remains the same, approximate the number of years it will take for the value of the stock to
decrease by half.
A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
EquationsGiven that ten years ago, you invested most of the money you made during that summer into an Energy drink stock, and you purchased $8,000 dollars worth of stock and it was initially projected to continuously compound by 2%, but, however, the Energy drink stock consistently declined by 3.65% each year until the present, for a) Write an equation to model this situation, b) Estimate the value of the stock today and how much did you gain/lose, and c) Assuming the stock rate of decline remains the same, approximate the number of years it will take for the value of the stock to decrease by half, the following calculations must be made:
A) 8000 x 0.9635 ^ Years = ValueB) 8000 x 0.9635^10 = X8000 x 0.6894 = X5515.78 = XC) 8000 x 0.9635 ^ X = 40008000 x 0.9635^18.64 = 4000Therefore, A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
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Answer:
A) the equation that models the situation is 8000 x 0.9635 ^ Years = Value, B) the value of the stock today is $5515.78, so I lost $2484.22, and C) it will take more than 18 years for the stock to decrease by half.
Step-by-step explanation:
From your observation : x⁰=
Answer:
=1
Step-by-step explanation:
You speak to a business owner that is taking in almost $2,000 in revenue each month. The owner still says that they're
having trouble keeping the doors open. How can that be possible? Use the terms revenue, expenses, and profit/loss in
your answer.
Answer:
The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.
Does anybody know this? I keep getting different answers that don t make sense. Find the surface area of the cone
Find the product using Distributive property. 625 x 129 – 625 x 90
Answer:
63,750
Step-by-step explanation:
1. Simplify the expression
625*192-625*90
120000-625*90
120000-56250
63750
What is distributive propertyAn algebra property which is used to multiply one integer by one or more other integers inside a set of parentheses.What are order of operations The order in which operations in an expression to be evaluated are carried out.Why learn this:
Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your maths studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!Terms and topics
Order of operations[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\textbf{Assuming that you meant}\bf\downarrow[/tex]
[tex]\mathbf{625\times129 - 625\times90}[/tex]
[tex]\large\textbf{If so, let's solve for the answer, shall we?}[/tex]
[tex]\mathbf{= \boxed{\bf 80,625} - 625\times90}[/tex]
[tex]\mathsf{= \bf 80,625 - \boxed{\bf 56,250}}[/tex]
[tex]\mathbf{= 80,625 - 56,250}[/tex]
[tex]\large\textbf{We have met your answer to this question.}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{24,375}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]PLEASE HELP ME. NO PHONY ANSWERS TY, ANSWER IF YOUR 100% RIGHT!
A sample of 317 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified
according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table bel
Biology Business Engineering Mathematics
Computer science
Female 17
22
27
36
41
Male
19
45
29
34
47
Among all the students in the sample, what is the relative frequency of female mathematics majors?
Round your answer to two decimal places.
0
X
?
The relative frequency of female mathematics majors will be 0.5142.
How to find the relative frequency?The proportion of the examined subgroup's value to the overall account is known as relative frequency.
A sample of 317 students at a university is surveyed.
The students are classified according to gender (“female” or “male”).
The table is given below.
Then the relative frequency of female mathematics majors will be
⇒ 36 / (36 + 34)
⇒ 36 / 70
⇒ 0.5142
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If triangle abc and triangle def are similar, then their corresponding sides are proportional. if , then . answer the following questions what is the hypothesis? what is the conclusion? what is the converse? is it true? if the converse is not true, give a counter-example. what is the inverse? is it true? what is the contrapositive? is it true?
The answer to the questions are given below.
What are Similar Triangles ?The triangles which do not have same side length or angles but are similar in appearance are called similar Triangles .
It is given in the question that
If triangle abc and triangle def are similar, then their corresponding sides are proportional.
The hypothesis is
if the triangle abc and def are similar
The conclusion is
that the triangle abc and def are similar and the sides corresponding are proportional.
The converse is
If the sides of two triangles are proportional then two triangles are similar
Yes it is true
Inverse is if the two triangles are not similar then the sides corresponding are not proportional.
Contrapositive statement is if the sides are not proportional then the two triangles are not similar.
Yes , it is true.
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The graph below represents the result of a survey in which a number of students
reported how many letters were in their last names.
What was the range of name lengths?
The range of name lengths is equal to 8.
What is a range?In Mathematics and Statistics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.
In Mathematics and Statistics, the range of a data set can be calculated by using this mathematical expression;
Range = Highest number - Lowest number
From the given data set, we have:
Highest number = 10.
Lowest number = 2.
By substituting, we have:
Range = 10 - 2
Range = 8.
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The range of 3,7,2,4,7,5,7,1,8,8
Answer:
7
Step-by-step explanation:
First put all the numbers in order. Like this,
1,2,3,4,5,7,7,7,8,8
Then subtract (take away) the lowest number from the highest. Like this,
8-1=7