Looking at the 4th net, we see it has what seems to be 4 squares in a line. And two of them are each one united into another square.
Then, when we join the left side of the left square and the right side of the right square, we obtain a 3D object with 4 square faces, and 2 empty faces also in the form of a square.
After that, we can fold down the upper square face, and fold up the other one.
We will get the following 3D object, that is a cube:
Therefore, the 4th net makes a cube.
Find the value of X.
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
<95141404393>
If 5b = 6a + 16 and 9a = 7b - 20, then what are the values of a and b?
9514 1404 393
Answer:
(a, b) = (4, 8)
Step-by-step explanation:
Writing both equations in general form, we have ...
6a -5b +16 = 0
9a -7b +20 = 0
__
We can make a little array of the numbers in the equations:
\(\left[\begin{array}{cccc}6&-5&16&6\\9&-7&20&9\end{array}\right]\)
Note that the first column is repeated at the end.
Now, we can "cross multiply" and form the differences of products in adjacent columns:
d1 = (6)(-7) -(9)(-5) = 3 . . . . . . left 2 columns
d2 = (-5)(20) -(-7)(16) = 12 . . . . . middle 2 columns
d3 = (16)(9) -(20)(6) = 24 . . . . . right 2 columns
Then the solutions to these equations are the solutions to ...
1/d1 = a/d2 = b/d3
a = d2/d1 = 12/3 = 4
b = d3/d1 = 24/3 = 8
The values of a and b are 4 and 8, respectively.
_____
Additional Comment
There are a number of ways to solve linear equations. This is similar to what you would get by doing "elimination". It is also similar to Cramer's Rule and Vedic math techniques. The number of math operations is about the same*. Once you learn the technique, it is fairly fast and requires no decision-making. My other favorite method is using a graphing calculator.
__
* This method uses 6 multiplications, 3 subtractions, 2 divisions. In the general case of "elimination", where the coefficients are not "nice" (as here), you would perform 7 multiplications, 4 subtractions and 2 divisions. This method is less work when the coefficients don't cancel easily.
What is 14 1/6 minus 7 1/3?
Answer:
6.83
Step-by-step explanation:
the three is repeating
What is the length of FG?
(Picture of Question Below!)
A. 1.2
B. 3
C. 3.6
D. 4 ( IT IS NOT D!)
E. 6
9514 1404 393
Answer:
C. 3.6
Step-by-step explanation:
AC = FA + FC = 4+6 = 10
AC is the hypotenuse of right triangle ABC, which has leg BC = 8. Then the length of AB is given by the Pythagorean theorem as ...
AB² +BC² = AC²
AB = √(10² -8²) = 6
The side lengths of these similar triangles are proportional, so you have ...
FG/FC = AB/AC
FG = FC(AB/AC) = 6(6/10)
FG = 3.6
the actual distance between two cities is 135 km. The map scale is 1cm: 100 km. Find the map distance.
someone pls helpp !!!
Answer:
1.35cm
Step-by-step explanation:
Given the scale of the map
1cm = 100km
For 135km;
x cm = 135 km
Divide both equations
1/x = 100/135
100x = 135
x = 135/100
x = 1.35cm
Hence the map distance will be 1.35cm
Pls help only one question :( im stuck!
Answer:
-√26, 5.15, 5.2, 16/3
Step-by-step explanation:
-√26 = -5.09
16/3 = 5.33
What is 180 in./sec in m/min?
274.32 is the answer. Tell me if I need to be more precise.
What is the complete factorization of the polynomial below?
x³ + 3x2 +9x+27
OA. (x+3)(x+3)(x+3/)
B. (x+3)(x+3)(x-3/)
O C. (x-3)(x+3)(x+3/)
O D. (x-3)(x+3)(x-3i)
Answer:
(x - 3 i) (x + 3 i) (x + 3)
Step-by-step explanation:
If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
To solve this problem, we can use the concept of "work rates."
Let's find out how much work Fran and Denise can do individually in one hour.
If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).
Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).
When they work together, their work rates are additive.
So, their combined work rate would be:
\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)
\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)
\(=\frac{7}{24} room/hour\)
This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.
To determine the total time required for them to paint the entire room, we can invert their combined work rate:
\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)
Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
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What is the opposite of V3?
Solve the triangle. Round your answers to the nearest tenth. 27 degrees
Sorry never mind! Got it! Can’t delete!
One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
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this is a multiple choice question no need for it to be long
In order to determine which from the given equation represents the given data, first consider that while x increases y decreases. It means that the slope of the line is positive.
Furthermore, calculate the slope by using the following formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)where (x1,y1) and (x2,y2) are two points of the table. You can select any pair of points, for example:
(x1,y1) = (0,2)
(x2,y2) = (2,-4)
replace the previous values into the formula for m:
\(m=\frac{-4-2_{}}{2-0}=-\frac{6}{2}=-3\)Hence, the slope of the line is -3.
Hence, you can conclude that the equation of the line that best respresents the given data is:
y = -3x + 2
Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
The number of students in the class, n ≥ 9Learn more about data frequency here:
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Anna would like to purchase a new bike that cost $205. She already has saved $34. If she saves a maximum of $12 a week, the following inequality can be used to find the minimum number of weeks, w, it will take Anna to save the money to purchase the bike
Please show steps
Also, she saved 34 Dollars, not 31, I'm repeating this because I'm getting answers that are incorrect because of this error
Answer:
w ≥ 14.25
Step-by-step explanation:
You want to solve the inequality 34 +12w ≥ 205 for the number of weeks (w) Anna will take to save for a new bike.
SolutionThis is a 2-step inequality.
Step 1: subtract the constant from both sides:
34 -34 +12w ≥ 205 -34
12w ≥ 171
Step 2: divide by the coefficient of the variable
12w/12 ≥ 171/12
w ≥ 14.25
It will take Anna a minimum of 14.25 weeks to save the money to purchase the bike.
__
Additional comment
Often, income does not come as a continuous stream, so 14.25 weeks would mean 15 weeks at a minimum.
If Anna earns the last $3 she needs in 1/4 week, then 14 1/4 weeks is the right answer.
This has to do with the practical domain of w in this problem. If w is restricted to integers, then w ≥ 15. Regardless, the answer needs to be given in a way that will satisfy your answer checker.
<95141404393>
Answer:
w>14.25
Step-by-step explanation:
Using synthetic division for the following problem, what number would go in the divisor box? * (5x6 + 10x4 + 17x3 + 34x2 + 75x+150) + (x - 2) 02 O 5
2
1) Given that we're told to divide it using synthetic division, let's divide that polynomial
\(5x^6+10x^4+17x^3+34x^2+75x+150\text{ by }(x-2)\)2) Enlisting the coefficients:
5 10 17 34 75 150
Let's try 2 as the zero, since
(x-2) =0
x-2 =0
x=2
2.2) Let's fill in the grid, by writing the coefficients orderly. Note that we don't have an x^5 term, so we'll write 0 instead. On the left upper place, we'll write the zero x=2, or simply 2.
Then we'll bring it down the highest coefficient.
We'll multiply 5, and then 10, by each number on the 1st row
So the answer to the question is 2, since the divisor box must be filled by the zero of this equation (x-2), x-2=0, x=2.
Josh is downloading a file. The size
of the file is 3,200 KB. It takes 3
minutes to download the first
1,200 KB of the file. If the file
continues downloading at the same
rate, how many more minutes will it
take to finish downloading?
Answer:
5 minutes
Step-by-step explanation:
1200 ÷ 3 = 400 kb per minute
3200 ÷ 400 = 8 kb per minute
8 - 3 = 5 more minutes
This math problem makes me wanna kym
Answer:
-5-1/4
Step-by-step explanation:
find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=1.
Answer:
\(a_{17} = 49\)
Step-by-step explanation:
Given
Sequence: Arithmetic
\(d = 3\)
\(a_1 = 1\)
Required
Determine the 17th term
The nth term of an arithmetic sequence is:
\(a_n = a_1 + (n - 1) d\)
In this case: n = 17
So, we have:
\(a_{17} = 1 + (17 - 1) * 3\)
\(a_{17} = 1 + 16 * 3\)
\(a_{17} = 1 + 48\)
\(a_{17} = 49\)
Hence, the 17th term is 49
1. Which is larger 7.2 x 10 -4 or 0072? 7.2 x 10^4
Answer:
7.2 is larger than 72×10-4 and this is also larger than 00.72
One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths
The length of the other two sides are 4m and 5m
How to determine the lengthsUsing the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle
This is represented as;
x² = y² + z²
From the information given, we have that;
z = 3m
x = x + 1
y = x
Substitute the values, we get
(x + 1)² = x² + 3²
Find the squares
(x + 1) ² = 9 + x²
expand the bracket
(x + 1) ( x + 1) - x² = 9
x² + x + x + 1 - x² = 9
collect like terms
2x = 8
x = 4
Then,
x + 1 = 5
x = 4
Hence, the values are 4m and 5m
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explain the difference between arithmetic growth and exponential (geometric growth). would you recognize them if they were described in writing and/or by picture?
When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.
When one of the parent cell keeps dividing while the other matures, this is known as arithmetic growth. An illustration of arithmetic growth is the ongoing elongation of roots. The early stages of geometric growth are characterized by slow expansion, whereas the latter stages are characterized by rapid expansion.
The amounts added grow by a fixed rate of growth, expressed in percentages. Due to the fact that these remain constant while the amounts added rise, growth is then typically measured in doubling times.
Due to the fact that all populations of organisms have the potential to experience exponential growth, the concept of exponential growth is particularly intriguing in the field of population biology.
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At a large regional collegiate women’s swim meet, an official records the time it takes each swimmer to swim 100 meters for all swimmers who compete in only one stroke category. The following table shows the mean times and corresponding standard deviations for the collegiate women at the swim meet for each of the four stroke categories. Stroke Category Mean 100 meter Time Standard Deviation Backstroke 55.6 seconds 0.70 seconds Breaststroke 63.3 seconds 0.92 seconds Butterfly 54.4 seconds 0.94 seconds Freestyle 50.2 seconds 0.76 seconds For each of the 4 stroke categories, consider a random variable representing the time of a randomly selected swimmer in that category. What is the standard deviation of the sum of the 4 random variables?
Answer:
1.6726
Step-by-step explanation:
square each standard deviation, add them then squareroot.
\(\rm SD = 1.6726\)
Step-by-step explanation:
Given :
Stroke Category Time Standard Deviation
Backstroke 55.6 sec 0.70 sec
Breaststroke 63.3 sec 0.92 sec
Butterfly 54.4 sec 0.94 sec
Freestyle 50.2 sec 0.76 sec
Calculation :
To find the standard deviation of the sum of the 4 random variables we need to square each of the standard deviation and add them and then take the square root.
\(\rm SD = \sqrt{(0.70^2)+(0.92^2)+(0.94^2)+(0.76^2)}\)
\(\rm SD = \sqrt{2.7976}\)
\(\rm SD = 1.6726\)
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What integer represents w? 9 : 4 = 27 : w
Answer:
12
Step-by-step explanation:
This is because to get 9 to 27 you have to multiply 9 by 3, therefore you have to multiply 4 by 3 due to the fact what you do to one side you have to do to the other to make it all equal:
9 x 3 = 27
4 x 3 = 12
ratio- 9 : 4 = 27 : 12
have a nice night! Hope this helped
Answer: w=12
Step-by-step explanation:
9x3=27
4x3=12
27/12=9/4
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
What is 0.625 + 4/2. PLEASE HELP!
Hey there!
The answer to your question is \(2.625\)
We can see that we are adding two numbers, and the second is \(\frac{4}{2}\), and that is equal to \(2\)
So, \(2 + 0.625 = 2.625\)
Hope it helps and have a great day!
Answer:
2.625
Step-by-step explanation:
0.625+4/2
reduce the fraction with 2
0.625+2
Add the numbers
2.625
PLEASE HELP, WILL GIVE BRAINLIEST!!!
Find the inverse of f(x)=6x-4
and find f^-1(62)
Step-by-step explanation:
swap the variables:
y=6x−4 becomes x=6y−4.
Now, solve the equation x=6y−4 for y.
y=x+46 is the inverse function
f^-1(62)
substitude x=62
y=x+46
y= 62+46
y=108
f^-1(62)=108
brainliest please~
Can someone please help me!!
Answer:
We conclude that the price per pound of the grapes = $1.45
Hence, option A is true.
Step-by-step explanation:
Given the table
Pounds of Grapes Total Cost
1.2 $1.74
2.6 $3.77
4.4 $6.38
Total pounds of Grapes = 1.2+2.6+4.4
= 8.2 pounds
Aggregate cost = 1.74 + 3.77 + 6.38
= $11.89
Thus,
Prince per pound = Aggregate cost / Total pounds of Grapes
= 11.89 / 8.2
= $1.45
Therefore, we conclude that the price per pound of the grapes = $1.45
Hence, option A is true.
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230. Find the probability that next year there will be no snowfall in that town on January 1.
1. 0.770
2. 4.348
3. 0.299
4. 1.230
The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We have to given that;
Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.
Now, WE get;
the probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 1 - P (snowfall)
P (no snowfall) = 1 - 0.230
P (no snowfall) = 0.770
Thus, The probability that next year there will be no snowfall in that town on January 1 is,
P (no snowfall) = 0.770
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The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.