triangle PQR is similar to Triangle TUV. the perimeter of triangle PQR is 60 inches. what is the perimeter of triangle TUV?
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Related Questions
A prime number is always greater than 1 false or truth and why
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hope this helps you
A prime number must be greater than 1 because by definition, a prime number has exactly two distinct positive divisors: 1 and the number itself. If a number is less than or equal to 1, it cannot be prime.
The statement that a prime number is always greater than 1 is indeed true. A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. If a number is less than or equal to 1, it cannot be prime because the prime numbers must be greater than 1 to have at least two distinct positive divisors (1 and the number itself).
For example, the first few prime numbers are 2, 3, 5, 7, 11, and 13. Each of these numbers is greater than 1 and cannot be divided evenly by any number other than 1 and itself. By contrast, the number 1 is not considered a prime because it has only one positive divisor, which is 1 itself. Since primes must have exactly two distinct divisors, 1 does not meet this criterion.
What is the conjugate of the square root of -15 ? ...?
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The square root of -15 is equal to i*sqrt(15). Therefore, the conjugate of this complex number is -i*sqrt(15).
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What is the common difference d of the sequence? −15, −4, 7, 18, 29, ...
Answers
Answer:
The common difference is [tex]11[/tex]
Step-by-step explanation:
we know that
In an Arithmetic Sequence the difference between consecutive terms is a constant called the common difference
so
In this problem we have
[tex]-15,-4,7,18,29,...[/tex]
Let
[tex]a1=-15\ a2=-4\ a3=7\ a4=18\ a5=29[/tex]
Find the difference between consecutive terms
[tex]a5-a4=29-18=11[/tex]
[tex]a4-a3=18-7=11[/tex]
[tex]a3-a2=7-(-4)=11[/tex]
[tex]a2-a1=-4-(-15)=11[/tex]
therefore
The sequence is an Arithmetic Sequence
The common difference is [tex]11[/tex]
62% of what is 89.3?
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To find 62% of what number equals 89.3, divide 89.3 by the decimal form of 62%, which is 0.62, to get 144.03 (rounded to two decimal places).
Explanation:The student's question '62% of what is 89.3?' is asking for the calculation of a base amount from a known percentage and a known result of that percentage. To find the answer, we divide the known result by the percentage in decimal form.
The equation we use is: Base = Percentage Result ÷ Decimal Percentage
Firstly, we convert 62% into decimal by dividing by 100, which equals 0.62. Then we divide the known result, 89.3, by 0.62:
Base = 89.3 ÷ 0.62 = 144.03225806451613
So, 62% of 144.03 (rounded to two decimal places) is 89.3.
Final answer:
The student's question involves finding the original whole given a part and its percentage. The calculation shows that 62% of 144.03 is 89.3.
Explanation:
The student is asking how to find the original whole when given a percentage and the corresponding part of that whole. To find the whole when you know a percentage of it and the actual amount that percentage represents, you can use the formula:
Whole = Part / (Percentage / 100). In this case, the part is 89.3 and the percentage is 62%. So, you calculate the whole by dividing 89.3 by 0.62 (which is 62% converted to a decimal by dividing by 100).
Here’s the step-by-step calculation:
Convert the percentage to a decimal: 62% = 0.62.Divide the part by the decimal: 89.3 / 0.62 = 144.03.Therefore, 62% of 144.03 is equal to 89.3.
Mary is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Mary has been adding money. Suppose that x and y are related by the equation =+75030xy . Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number.
What is the change per week in the amount of the account?
what was the starting amount money in the account?
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The change per week is 30 dollars increase.
The starting amount is 750 dollars.
I hope this answers your question. If not, comment below!
The starting amount would be the 750, because it doesn't have a variable assigned to it.
And, Change per week is 30 since it is being multiplied by the number of weeks.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Let y represent the total amount of money in the account (in dollars).
And, Let x represent the number of weeks Mary has been adding money.
Here, Suppose that x and y are related by the equation;
⇒ y = 750 + 30x
Now, Clearly for the starting amount money in the account we can put x = 0 in above equation;
⇒ y = 750 + 30 × 0
⇒ y = $750
And, The change per week in the amount of the account is 30 which is being multiplied by the number of weeks.
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3(mx)4 + 5 What is the coefficient in the expression? A) x B) 3 C) 4 Eliminate D) 5
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Answer:
Step-by-step explanation:
Answer choice is B) 3
The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be $3770. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x ...?
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The hourly profit of an airline operating a plane can be calculated by subtracting the operating cost from the revenue earned from passengers.
Explanation:The hourly profit of an airline operating a plane can be expressed as the difference between the revenue earned from passengers and the operating cost of the plane.
The revenue earned from passengers can be calculated by multiplying the fare per passenger by the number of passengers. In this case, the fare is $100 per hour of flight, and the number of passengers is represented by x.
The operating cost of the plane is given as $3770 per hour.
Therefore, the hourly profit P can be expressed as:
P = (fare per passenger) * x - (operating cost of the plane)
Substituting the given values:
P = $100 * x - $3770
What is the value of x in the equation 4(2x + 14) = 0?
9
7
−7
−9
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2x+14=0
2x=-14
x=-14:2
x=-7
Value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].
What is equation?" Equation is defined as the algebraic expression which represents the relation between the variables and number using sign of equality."
According to the question,
Given equation,
[tex]4(2x+14)=0[/tex]
Simplify the given equation to get the value of [tex]x[/tex],
[tex]4 \neq 0[/tex]
Therefore,
[tex]2x+14 = 0\\\\\implies 2x = -14\\\\\implies x = -7[/tex]
Hence, value of [tex]x[/tex] in the given equation [tex]4(2x+14)=0[/tex] is equal to [tex]-7[/tex].
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At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 worth of hot dogs and water were sold. Which are reasonable solutions for this situation if x represents the number of hot dogs sold and y represents the number of bottles of water sold? Check all that apply. (–1, 5) (0, 6) (2, 1) (1, 1.5) (1, 3) (2, 2)
Answers
(2,1)
(1,3)
Explanation:
Assume that the number of hot dogs is x and the number of water bottles is y.
We are given that:
1- cost of hot dog is $4
2- cost of water is $2
3- total profit was less than $12
This means that:
4x + 2y < 12
We will check the options that satisfy the above inequality:
Option 1: (-1,5):
This option is rejected as we cannot sell -1 hot dog
Option 2: (0,6):
4x + 2y = 4(0) + 2(6) = 12
12 is not less than 12
This option is incorrect
Option 3: (2,1):
4x + 2y = 4(2) + 2(1) = 8 + 2 = 10
10 is less than 12
This option is correct
Option 4: (1,1.5):
This option is incorrect as we cannot sell 1.5 bottle of water
Option 5: (1,3):
4x + 2y = 4(1) + 2(3) = 4 + 6 = 10
10 is less than 12
This option is correct
Option 6: (2,2):
4x + 2y = 4(2) + 2(2) = 8 + 4 = 12
12 is not less than 12
This option is incorrect
Hope this helps :)
Answer: The answers should be ( 2, 1)
(1, 3)
If the perimeter of a square is 16”, what is the length of each side of the square?
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4"
Given the function f(x) = x3 + 2x2 − 3x − 5, what is resulting function when f(x) is shifted to the right 1 unit?
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f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5
= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
= x^3 - x^2 - 4x - 1
I hope this helps
Which set is equivalent to (a u b) n c
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does Karen say there is a 30 percent or 60 percent chance that its already raining in Mean Girls
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What is 1.06 as a mixed number in simplest form?
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A population of bacteria is growing according to the function below, where t is in hours. How many hours will it take for the population to grow to 1,000 bacteria? Round your answer to the nearest integer. Do not include units in your answer.
B(t) = 50 e2.5t ...?
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e^2.5t = 20
t= ln(20) / 2.5
set B(t)=1000 and solve for t via 1000=50e2.5t
20=e2.5t
ln(20)=2.5t
t=ln(20) / 2.5
Using complete sentences, explain which method you would use to solve the following system of equations and why. In your answer, include the solution to one of the variables and how you found it using the method you chose.
2x + y + z = –7
x – 3y + 4z = –14
x – 2y – 3z = –11
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1) 2x + y + z = –7
2) x – 3y + 4z = –14
3) x – 2y – 3z = –11
elimination of x
2) - 3) -y + 7z = - 3
1) - 2.3) 5y +7z = 15
now we solve the simple system
-y + 7z = - 3 a)
5y +7z = 15 b)
elimination of y
5. a) + b) implies 42 z=12 and z= 2/7
-y +7 . 2/7= -3 implies y = 5
y=5, z =2/7, so 2x + 5 + 2/7 = –7 implies x= - 43/7
final solution
x= - 43/7, y=5 and z =2/7
proof
2.(- 43/7) + 5 + 2/7 = -7, (true)
What is the distance from the origin of point A graphed on the complex plane below?
a. square root of 5
b. square root of 13
c. 9
d. 13
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(-3,-2)
Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.
Using pythagoras theorem we calculate:
h^2 = 3^2 + 2^2 = 13
h = sqrt 13
Answer is b
Answer:
Answer is b
Step-by-step explanation:
Which of the following statements are true about WaterSense toilets?
a.
WaterSense toilets prevent toilet leaks
b.
WaterSense toilets saved customers 9.3 billion gallons of water in 2008
c.
WaterSense toilets come with attached float booster
d.
WaterSense toilets use about 5-7 gallons of water per flush
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Answer:
I just took the test, the answer is
B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008
The only option that is true about water sense toilets is that; B: WaterSense toilets saved customers 9.3 billion gallons of water in 2008
What are water sense toilets?The WaterSense label is a label that is mostly used on toilets that are certified by an independent body to satisfy well established high performance and efficiency standards.
Now, only water-saving toilets that complete the certification process can have the WaterSense label. From research it was discovered that WaterSense toilets saved customers 9.3 billion gallons of water in 2008 and so option B is correct.
Read more about toilet at; https://brainly.com/question/856813
1/2 x = 20 solve for x
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2/2x=40
1x=40
x=40
the way i got that was i times .5 to 20 and got my answer because .5 is 1/2
Hopes this helps if you have more question just hmu and ask :)
There are "n" delicious sweets in the bag. You know that 6 of them are orange and the rest are yellow. Hannah takes a random sweet from the bag and eats it. Then she takes a second sweet from the bag and eats that one. You know that the probability that Hannah eats two of the orange sweets is 1/3. How many sweets were in the bag before Hannah ate any
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This is because that there are 6 orange desserts and n desserts altogether.
When Hannah takes out her second sweet, there is a 5/(n-1) chance that it is orange.
This is because there are just 5 orange desserts let alone for an aggregate of n-1 desserts.
The possibility of getting two orange desserts in succession is the main likelihood increased by the second one: 6/n x 5/n–1
The question lets us know that the shot of Hannah getting two orange desserts is 1/3.
So: 6/n x 5/n–1 = 1/3
Now, rearrange this problem.
(6x5)/n(n-1) = 1/3
This gets to be:
30/(n² – n) = 1/3
Times by 3 on both sides:
90/(n² – n) = 1
What's more, doing likewise with (n² – n):
So (n² – n) = 90
Our answer is: n² – n – 90 = 0
suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))? suppose that f(x) = 4x+7 and g(x) =2x. what is a rule for g(f(x)? what is a rule for f(g(x))?
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The rule for g(f(x)) is 8x + 14, and the rule for f(g(x)) is 8x + 7.
Explanation:The rule for g(f(x)) is that we first substitute f(x) into g(x), meaning we replace x in the g(x) rule with the expression for f(x). Using the given functions, g(f(x)) = g(4x + 7) = 2(4x + 7) = 8x + 14.
Similarly, the rule for f(g(x)) is that we first substitute g(x) into f(x), meaning we replace x in the f(x) rule with the expression for g(x). Using the given functions, f(g(x)) = f(2x) = 4(2x) + 7 = 8x + 7.
Evaluate 7 + (-3x2) for x = 0.
-2
0
4
7
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7+(-3.0^2)
7+0
7
Answer:7+(-3.0^2)
7+0
7
Step-by-step explanation:
Lorena deposited $2372 into an account that earns 4.5% interest which is compounded once a year. how much money will lorena have in the account in 20 years?
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Answer:
5720.59
Step-by-step explanation:
I know it's correct
Find the vertex of a function f(x)=-3x^2+9x-15 by completing the square
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SO CONFUSED PLEASE HELP
Which situations can be represented by an exponential function? Select each correct answer.
On the highway, Kareem's car gets 38 mpg.
Shu Fang has $25.75 deducted from her checking account every month.
A toad population is increasing by about 7.5% each year.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
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Answer: A toad population is increasing by about 7.5% each year.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
Step-by-step explanation:
On the highway, Kareem's car gets 38 mpg.
This can be modeled with a linear relationship between the miles and the gallons of fuel needed.
Shu Fang has $25.75 deducted from her checking account every month.
Here we know that each month a constant amount is deducted from her, this is not an exponential relation.
A toad population is increasing by about 7.5% each year.
If the population initially was an amount P, after one year the population is P*1.075, after two years the population is P*(1.075)^2 and so on, this can be modeled with an exponential function where the years variable, the function will have the general form:
Population(y) = P*(1.075)^y
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
If the first year the population is X, the year after the attendance will be (4/5)X, and the year after this process applies again, so you have a 4/5 of the previous attendance, the attendance now is (4/5)^2*X
This also can be modeled with an exponential function, of the shape:
Attendance (y) = X*(4/5)^y, where again, y means years.
The thing you may notice is that in this case the model only works for the lapse of 5 years that the event organizer said.
The sum of two numbers is 10. if one number is subtracted from the other the result is -2. find two numbers
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Form an equation to describe the situation
x+y=10
Then use the other information they gave you and form another equation
x-y=2
You can add the two equations together, and you see that the y variables cancel out(elimination)
2x=12
Solve for one variable and then plug it back into the original equation
x=6
6+y=10
y=4
Intersecting chords form a pair of congruent, vertical angles.
A. True
B. False
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Answer:
True!
Step-by-step explanation:
The radian measure of an angle that is 25º 47' 31'' is _____.
A. .44 radians
B. 25.79 radians
C. 8.21 radians
D. .45 radians ...?
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25.7919*(pi/180) = 0.45 (approximately)
What is the slope of a line that passes through (���4,���13) and (19,11)?
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Explain why the data can be modeled by a linear equation.