The scale factor of figure KLMN to figure PQRS is 6 cm / 3 cm = 2.
To find the scale factor of figure KLMN to figure PQRS, given KN = 3 cm, MN = 7 cm, RS = 14 cm, and PS = 6 cm, follow these steps:
1. First, find the length of a side in figure KLMN. We can use KN since it's given: KN = 3 cm.
2. Next, find the corresponding side length in figure PQRS. Since KN corresponds to PS, we have: PS = 6 cm.
3. Now, find the scale factor by dividing the length of the side in figure PQRS by the length of the corresponding side in figure KLMN: scale factor = PS/KN = 6 cm / 3 cm.
The scale factor of figure KLMN to figure PQRS is 6 cm / 3 cm = 2.
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4
If 16f + 24 = 8(2 + 3), what is the value of F? (TEKS:
F f = 1
G Infinitely many solution
H No solution
) f = 24
Answer:
f=1
Step-by-step explanation:
first you add 2+3 then you multiply by 8 and you get 40. to get f by itself you subtract the 24 from the left side to be left with 16f=16. You then divide and get f=1
Order the numbers from least to greatest
25/7, 3.6, square root of 12, Square root of 49/4.
The numbers arranged from the least to the greatest are : √12 , \(\sqrt{\frac{49}{4} }\), \(\frac{25}{7}\), 3.6
To order the numbers from the least to the greatest means to order to numbers from the smallest to the largest.
In order to order the numbers, the numbers have to be in the same form. I would be changing the numbers and fractions to decimals
25 / 7 = 3.57
√12 = 3.46
\(\sqrt{\frac{49}{4} }\) = 3.5
3.6
The numbers arranged from the least to the greatest are : √12 , \(\sqrt{\frac{49}{4} }\), \(\frac{25}{7}\), 3.6
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A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?
Answer:
11 dollars
Step-by-step explanation:
If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours
pls help me on this question
What is this expression in simplified form?
2√2-7√18
Answer: Heyaa! ~
Your Answer in simplified form is... −19√2
Step-by-step explanation:
2√2-7√18 = −19√2
Pull terms out from under the radical, assuming positive real numbers.
Hopefully this helps you! ~
A 4 foot long sandwich is cut j to servings that are each 1/3 foot long. How many servings will there be after the sandwich is cut
Answer:
12
Step-by-step explanation:
if I have 1 foot and I split it into 3 sections (1/3 of a sandwich) I would have 3 servings, because I have 4 feet I have to time 3 times 4, which equals 12
Please Help me
A restaurant has a build your own personal pizza on their express lunch menu. A customer can only choose one item from each category. The table below shows the different choices. How many different ways can a person order a lunch pizza?
A. 3
B. 9
C. 18
D. 27
Answer:
D.27
Step-by-step explanation:
its kinda hard to explain i would have to show you give me ur email and i will send u a video if u like
Enter the value of n so the expression (-6y+1)+(4.7y-3.1) is equivalent to (ny-2.1)
If im correct, n= -1.3
What is the length and breadth of the question.
Let the breadth of the lawn be X
therefore, Length=2X
By condition,
=≥2(L+B)=128
=>4X + 2X = 128
=>6X=128
=>X=21.333
Length=42.666m
Breadth=21.333m
Solve the following equation: 3.3+4x=-6.9x+6.6
Round your answer to the nearest tenth.
The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.
To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.
First, let's simplify the equation by combining like terms:
3.3 + 4x = -6.9x + 6.6
Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:
4x + 6.9x = 6.6 - 3.3
Combine the x terms on the left side:
10.9x = 3.3
Now, divide both sides of the equation by 10.9 to solve for x:
x = 3.3 / 10.9
Using a calculator, we can find the decimal approximation of x:
x ≈ 0.3028
Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.
In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.
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find the volume of the solud that results when the region enclosed by y = square root x, y = 0, and x = 9 is revolved about the line x = 9
The volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9 is 54π/5 cubic units.
To solve this problem
We can use the method of cylindrical shells to find the volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9.
First, we need to find the height of each cylindrical shell. Since we are revolving the region about the line x = 9, the radius of each shell will be 9 - x.
The height of each shell will be the difference between the upper and lower bounds of the region, which is y = √x and y = 0:
height = √x - 0
= √x
So the volume of each cylindrical shell will be:
dV = 2π(9 - x)√x dx
To find the total volume of the solid, we integrate this expression from x = 0 to x = 9:
V = ∫(from 0 to 9) 2π(9 - x)√x dx
We can simplify this integral by making the substitution u = √x, which gives us:
V = 2π∫(from 0 to 3) (9 - u^2)u^2 du
Expanding the integrand and integrating term by term, we get:
V = 2π(27/5 - 9/3)
= 2π(27/5 - 27/9)
= 2π(162/45 - 135/45)
= 54π/5
Therefore, the volume of the solid that results when the region enclosed by y = √x, y = 0, and x = 9 is revolved about the line x = 9 is 54π/5 cubic units.
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x is a normally distributed random variable with mean 23 and standard deviation 12.what is the probability that x is between 11 and 35?
The probability that x is between 11 and 35 is approximately 0.6826 or 68.26%.
To find the probability that x is between 11 and 35, we need to standardize the values using the formula z = (x - μ) / σ, where μ is the mean and σ is the standard deviation.
For x = 11, z = (11 - 23) / 12 = -1.00
For x = 35, z = (35 - 23) / 12 = 1.00
Using a standard normal distribution table or calculator, we can find the probability of z being between -1.00 and 1.00, which is approximately 0.6827. Therefore, the probability that x is between 11 and 35 is approximately 0.6827.
To find the probability that x is between 11 and 35 for a normally distributed random variable with a mean of 23 and a standard deviation of 12, you'll need to use the z-score formula and a standard normal distribution table.
First, convert the given values of 11 and 35 to their respective z-scores using the formula:
z = (x - mean) / standard deviation
For 11: z1 = (11 - 23) / 12 = -1
For 35: z2 = (35 - 23) / 12 = 1
Now, refer to a standard normal distribution table to find the probabilities corresponding to z1 and z2.
P(z1) ≈ 0.1587
P(z2) ≈ 0.8413
Finally, subtract the two probabilities to find the probability that x lies between 11 and 35:
P(11 < x < 35) = P(z2) - P(z1) = 0.8413 - 0.1587 = 0.6826
So, the probability that x is between 11 and 35 is approximately 0.6826 or 68.26%.
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can someone explain
Answer:
K = -2
Step-by-step explanation:
K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y = mx + b, b is the y -intercept.
~theLocoCoco
1. Nasim thinks of a number.
When he multiplies his number by 5 and subtracts 16 from the result, he gets the same
answer as when ads 10 to his number and multiplies that result by 3.
Find the number Nasim is thinking of.
Step-by-step explanation:
5x-16 = 3 (10+x)
=> x= 23
help me plz thank you
Answer:
9 momths =270 days
Step-by-step explanation:
9 month *30=270 days
ASAPPP!!
PLS SOMEONE HELP ME WITH THIS
Answer:
Remove 1 stripyRemove 3 stripyAdd 2 plainsAdd 5 plainsHope this helps!
23. Match the figure with the number of unit cubes that would be needed to build each figure. Not every number of unit cubes will be used.
We can see here that:
Figure 1 - 7 unit cubes.Figure 2 - 6 unit cubes.What is cube?A cube is a three-dimensional geometric shape that has six square faces, all of which are congruent (equal in size) and perpendicular to each other. It is a special type of rectangular prism where all edges have the same length, and all angles are right angles (90 degrees).
Cubes are commonly encountered in everyday life, such as dice, boxes, and Rubik's Cube puzzles. They have precise and uniform geometry, making them useful in various mathematical and engineering applications.
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ANWSER both pls for brainly .. :)
Answer:
3). \(15(2x+y)\)
4). \(10-6x\)
Step-by-step explanation:
Answer:
the first one is c and the second one is b.
Step-by-step explanation:
what is 124 lbs to kg?
Answer: 56.2455
Step-by-step explanation:
a new car is offered with 10 different options. how many different combinations may a new car have installed? a new car is offered with 10 different options. how many different combinations may a new car have installed?
The number of different combination may a new car would have is 10 ways.
What is a combination in mathematics?
The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.
Given that there are 10 different options.
We have to choose one car.
So total number of combinations = \(^{10}C_1\)
= 10!/(9!)(1!)
= 10 ways
Hence, the number of different combination may a new car would have is 10 ways.
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In 10 ways the combination of a new car can be installed as followed by the rules of Permutation combination.
what is Permutation combination ?
Putting things or numbers in order is the definition of a permutation. Combinations are a method of choosing elements such as numbers or objects from a collection or set of elements without regard to the elements' order.
Solution:
Given that the car are 10 different options.
We have to choose one car.
So total number of combinations = 10C1
= 10!/(9!)
= 10 ways
Therefore, In 10 ways the combination of a new car can be installed.
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the ____ format specifier is used to denote a signed decimal integer.
The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.
When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.
For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.
Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.
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AB= 4x + 7
BC = 5x - 8
AC = 53
Answer: x = 6
Step-by-step explanation:
hope this helps
Answer:
hope this helps
Step-by-step explanation:
Let's assume AC is a straight line and B is on the line between A and C
AC=AB+BC
AC=4x+7+5x-8
AC=9x-1
the question is in the picture sorry the pic is bad but i need the answer for the transformations of triangle abc to triangle xyz
это вопрос 10 класса? Вопрос старшеклассника??
Answer: I think its reflected
Step-by-step explanation:
Need help on homework
Answer: z= 36 and 2/3
Step-by-step explanation:
1) \(\frac{z}{5} -4= 3\frac{1}{3}\)
2) Add 4 to both sides to get \(\frac{z}{5} =7 \frac{1}{3}\)
3) Multiply both sides by 5 to get \(z= 36 \frac{2}{3}\)
Answer:
z=110/3
Step-by-step explanation:
Zoom In to see I need help
Answer:
The answer it probably is C.
Step-by-step explanation:
Just add 16+16+16= 48. Hope this helps
Answer:
The answer is C... 16 units.
Step-by-step explanation:
I had this question on my test and got it correct.
Find the area of the figure below.
16 in
19 in
30 in
19.4 in
Answer:
392 square inches
Step-by-step explanation:
To solve this we need to look at this quadrilateral as two shapes that share a side - a triangle and a rectangle.
You can see in the attatchment how I have drawn a dotted line indicating where they share a side.
From here we find the area of each shape seperately and add those areas together!
Rectangle:
Looking at the rectangle portion we can see that the width is 16 in and the length is 19 inches. Don't be fooled by the long 30 inch side. Remember, we are only looking at the portion that makes up the rectangle.
A = l*w = 16*19 = 304 inches squared
Triangle:
To find the area of the triangle, we use the formula A = (b*h)/2 where b = the length of the base and h = the height.
We can see in this attatched drawing that the height of the triangle is the same length as the width of the rectangle which is 16 inches.
To find the base, you can do one of two things.
1) use the pythagorian theorem (A^2 + B^2 = C^2) to solve for the missing side of the right triangle, where A is 16 inches, B is unknown and C is 19.4 inches.
2) *easier* using the information given, we can see that the longest side of this shape is 30 inches and is made up of the length of the rectangle (19 inches) and the base of the triangle (which is unkown - we can call it x)
Given that we know the total length and the length of the portion that belongs to the rectangle, we can say x = 30-19 = 11. Therefore the base of the rectangle is 11 inches.
From here we use b*h/2
11*16/2 = 88 = area of the triangle in square inches.
Now for the easy part - add up the areas for the total!
Area (rectangle) + Area (triangle) = Area (total)
304 + 88 = 392 square inches
what is the smallest integer that can possibly be the sum of an infinite geometric series whose first term is 9?
The smallest integer that can possibly be the sum of an infinite geometric series whose first term is 9 is not possible.
An infinite geometric series is a series that continues indefinitely, where each term is found by multiplying the previous term by a constant ratio.
To determine the convergence limit, we must first determine if the series converges. The series converges if the absolute value of the common ratio is less than 1. If the series converges, the sum can be found using the formula:
S = a / (1 - r)
Where S is the sum, a is the first term of the series (9 in this case), and r is the common ratio. For the sum to be an integer, the denominator (1 - r) must equal 1, which means r must equal 0.
This is not possible, as the absolute value of the common ratio must be less than 1 for the series to converge.
Therefore, the sum of the series cannot be an integer.
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Approximate −12 + √32 the square root of thirty-two to the nearest tenth.
The approximate value of -12 + √32 is -6.3 to the nearest tenth.
What is an approximation?An approximation is anything that is similar, but not exactly equal, to something else.
The given expression is −12 + √32
The value of √32 is given as 5.656
Since,after decimal 6 to the right of 5 is greater than 5
To the nearest tenth, we can write as 5.7
∴ √32 = 5.7
For the required value of the expression we can write,
−12 + √32
Put the value of √32
Putting values in expression we have,
-12 + √32 = -12 + 5.7
Solving them
⇒ -12 + √32 = -6.3
Hence,the approximate value of -12 + √32 is -6.3 to the nearest tenth.
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Michael is using a number line to evaluate the expression –8 – 3
Answer:
-11
Step-by-step explanation:
Answer:
-11
Step-by-step explanation:
what is the equation of the quadratic that models the data
Answer:
y = -5(x-5)^2+1125
Step-by-step explanation: