Analyze the reflectional symmetry of the regular polygons. The square has -fold reflectional symmetry. The regular octagon has -fold reflectional symmetry.
Answers
Answer:
The square has 4-fold reflectional symmetry. The regular octagon has 8-fold symmetry.
Step-by-step explanation:
For a square,
There are two lines of symmetry along two diagonals and
two lines of symmetry along midpoints of two pairs of opposite sides.
Therefore, there are 4 lines of reflectional symmetry in total.
For a regular octagon,
There are four lines of symmetry along four diagonals and
four lines of symmetry along midpoints of four pairs of opposite sides.
Therefore, there are 8 lines of reflectional symmetry in total.
Final answer:
A square has 4-fold reflectional symmetry, while a regular octagon has 8-fold reflectional symmetry.
Explanation:
Reflectional symmetry refers to a property of a shape where it can be divided into two mirror-image halves. The -fold reflectional symmetry of a regular polygon refers to the number of lines of symmetry it possesses. A line of symmetry is an imaginary line that divides the shape into two equal halves that are mirror images of each other.
For example, a square has 4-fold reflectional symmetry because it has 4 lines of symmetry, dividing it into 4 equal halves. Each line of symmetry passes through the midpoints of opposite sides.
On the other hand, a regular octagon has 8-fold reflectional symmetry because it has 8 lines of symmetry, dividing it into 8 equal halves. Each line of symmetry passes through the midpoints of opposite sides or vertices.
Related Questions
A square is inscribed in a right triangle so that they have a common right angle. The legs of the triangle are 6 in and 8 in long.Find the length of the side of the square.
Answers
Answer: Approximately 3.42857142857142 inches
Round this value however you need to. For instance, if you need to round to 2 decimal places, then the answer would be 3.43 inches.
====================================================
How I got this answer:
A square has side lengths that are the same value and it has four right angles. For example, a square could have all four sides equal to 7 inches. We want this square to fit snugly inside a right triangle. Put another way, we want this square as big as possible without it overflowing outside the triangle.
If one vertex of the square is at (0,0) then the opposite vertex will be on the line y = x meaning this opposite vertex's location is (x,x). The x refers to the side length of the square. Replace x with any number. Going back to the previous example, if x = 7 then the square has two opposite vertices at (0,0) and (x,x) = (7,7), so this square has side length of 7. We will use the equation y = x later on (see figure 2 in the attached images below). I marked (0,0) as point A and (x,x) as point D in figure 3.
We will also use the equation of the line that goes through the two points B(0,6) and C(8,0) as shown in figure 3. The line that goes through points B and C is the line that forms the hypotenuse of the right triangle. If we can find the equation of this line, then we can use algebra to find the intersection point D (see figure 3)
It turns out that the equation of the line through B and C is y = (-3/4)x + 6. Check out figure 1 in the attached images below to see how I got that.
Then head over to figure 2 to see how I'm using the two equations to solve for x. The exact solution is the fraction x = 24/7 which approximates to x = 3.42857142857142 and you can round this however you want for the final answer.
The side length of the square inscribed in the right triangle with legs 6 inches and 8 inches is [tex]\(\frac{24}{7}\)[/tex] inches.
Let's denote the side length of the square as ( s ). Since the square is inscribed in the right triangle with a common right angle, the triangle can be split into two smaller right triangles and a rectangle.
Consider the right triangle with legs of lengths 6 inches and 8 inches. When a square is inscribed in such a triangle, the side of the square, ( s ), will align with one leg and the other leg, forming two smaller right triangles and a rectangle.
We can solve this problem by using the properties of similar triangles. Let’s break down the larger right triangle into the smaller components formed when the square is inscribed.
Step-by-Step Solution:
1. Draw the square inscribed in the right triangle. Denote the point where the side ( s ) of the square touches the leg of length 6 inches as point ( A ), and the point where it touches the leg of length 8 inches as point ( B).
2. Let the triangle's right angle be at point ( C ). Place the square such that one vertex coincides with point ( C). Let the opposite vertex of the square that lies on the hypotenuse be point ( D).
3. The length of the segment along the 6-inch leg outside the square is ( 6 - s ). Similarly, the length of the segment along the 8-inch leg outside the square is ( 8 - s ).
Using Similar Triangles:
The smaller triangles formed by the inscribed square and the segments [tex]\( 6 - s \) and \( 8 - s \)[/tex] are similar to the original right triangle (by AA similarity).
The ratio of the sides of these similar triangles remains the same:
[tex]\[\frac{s}{6 - s} = \frac{8}{6}\][/tex]
Now solve for [tex]\( s \):[/tex]
[tex]\[\frac{s}{6 - s} = \frac{4}{3}\][/tex]
Cross-multiplying gives:
[tex]\[3s = 4(6 - s)\]\[3s = 24 - 4s\]\[3s + 4s = 24\]\[7s = 24\]\[s = \frac{24}{7}\][/tex]
So, the side length of the square is:
[tex]\[s = \frac{24}{7} \approx 3.43 \text{ inches}\][/tex]
Thus, the length of the side of the square inscribed in the right triangle with legs 6 inches and 8 inches is [tex]\( \boxed{\frac{24}{7}} \)[/tex] or approximately 3.43 inches.
How can I find the factor of
[tex]243 {w}^{4} z - 48z[/tex]
Answers
Answer:
3z(3w - 2)(3w + 2)(9w² + 4)
Step-by-step explanation:
take out a common factor 3z from both terms
= 3z(81[tex]w^{4}[/tex] - 16)
81[tex]w^{4}[/tex] - 16 ← is a difference of squares
• a² - b² = (a - b)(a + b)
81[tex]w^{4}[/tex] = (9w²)² → a = 9w² and 16 = 4² → b = 4
= 3z(9w² - 4)(9w² + 4)
9w² - 4 ← is also a difference of squares with a = 3w and b = 2
= 3z(3w - 2)(3w + 2)(9[tex]w^{4}[/tex] + 4)
I’m I right?????????????
Answers
No.
The first two is okay. Then
Then
4 | 64
8|128
9|144
10|160
Answer:
Change "3" to "4"Change "46" to "128"Step-by-step explanation:
The table tells you that for every 1 package, you have 16 tortillas. Thus, the function is y = 16x.
y = amount of tortillas and x = number of packages
To find the number of packages for 64 tortillas, divide 64 by 16-- which gives you 4. Instead of "3" packages, change that number to "4".
To find the amount of tortillas in 8 packages, multiply 8 by 16-- which gives you 128 tortillas. Instead of "46", replace that amount with 128.
Divide 144 tortillas by 16, which gives you 9. The answer you gave is correct.
Multiply 10 packages by 16, which gives you 160-- your answer is also correct here.
What is the equation of the graph below?
Answers
Answer:
i believe its A because were learning that right now
Step-by-step explanation:
Answer:
[tex]y=cos(x+\pi )[/tex]
Step-by-step explanation:
We are a given a graph from which we can clearly see that y = -1 when x = 0.
Next, to find out which of the options is the equation of the given graph, we need to set our calculator to the radian mode and then we will put the value of x to be 0.
1. y = cos(x + pi/2) = cos(0 + pi/2) = 0
2. y = cos(x+2pi) = cos(0+2pi) = 1
3. y = cos(x+pi/3) = cos(0+pi/3) = 1/2 = 0.5
4. y = cos(x+pi) = cos(0+pi) = -1
We get y = -1 when x = 0 in equation number 4, y = cos(x+pi) = cos(0+pi) = -1. so that is the equation of the given graph.
Consider circle Y with radius 3m and central angle XYZ measuring 70degrees. What is the approximate length of minor arc XZ?
Answers
Answer:
XZ ≈ 3.7 cm (to 1 dec. place )
Step-by-step explanation:
arc length = circumference × fraction of circle
= 2πr × [tex]\frac{70}{360}[/tex]
= 2π × 3 × [tex]\frac{70}{360}[/tex] ≈ 3.7 cm
What number is the opposite of -8.3?
Answers
Answer:
8.3
Step-by-step explanation:
it is the opposite because -8.3 is a negative, so the only opposite of this number would be its positive
"n" and "-n" are opposite numbers.
The sum of a opposite numbers is equal 0: n + (-n) = n - n = 0.
Opposite numbers have the same distance to number 0 (look at the picture).
Opposite of -8.3 is -(-8.3) = 8.3
Answer: 8.3will path 1 intercept the crocidile river
Answers
Answer:
Is there a picture?
In a flower garden, there are 6 tulips for every 9 daisies. If there are 30 tulips, how many daisies are there?
A.
51
B.
43
C.
45
D.
47
Answers
Answer: C. 45
Step-by-step explanation:
1. You know that there are 6 tulips for every 9 daisies. Then, if there are 30 tulips, you can write the following expresion, where [tex]x[/tex] is the number of daisies when there are 30 tulips:
[tex]\frac{6}{9}=\frac{30}{x}[/tex]
2. Then, you must solve for x as following:
[tex]6x=30*9\\6x=270\\x=\frac{270}{6}\\x=45[/tex]
3. Therefore, the answer is 45 daisies.
By creating and solving a ratio based on the given relationship of 6 tulips to 9 daisies, it is determined that if there are 30 tulips, there must be 45 daisies in the flower garden. Thus, the correct choice to the student's question is option C) 45 daisies.
To solve this problem, we can set up a ratio based on the information given: there are 6 tulips for every 9 daisies. The ratio of tulips to daisies is therefore 6:9. If there are 30 tulips, this ratio must be multiplied by a certain factor to reach 30. To find this factor, we divide 30 (the actual number of tulips) by 6 (the number of tulips in the ratio), giving us a factor of 5. We then multiply the daisy part of the ratio (9) by 5 to find the actual number of daisies.
6 tulips : 9 daisies = 30 tulips : x daisies
30 / 6 = 5
9 daisies * 5 = 45 daisies
Therefore, if there are 30 tulips in the garden, there are 45 daisies, which corresponds to choice C.
How do I find the missing side for question 39
Answers
SOH:
[tex] \sin(angle) = \frac{opposite}{hypotenuse} [/tex]
CAH:
[tex] \cos(angle) = \frac{adjacent}{hypotenuse} [/tex]
TOA:
[tex] \tan(angle) = \frac{opposite}{adjacent} [/tex]
Now, looking at the picture we can see that we have an angle, the hypotenuse and want to find the value of the adjacent side to the angle. So we use CAH to find the adjacent angle. Plug in what we have:
[tex] \cos(69) = \frac{x}{17} [/tex]
we need to solve for x now so we get it by itself on one side:
[tex] \cos(69) \times 17 = x[/tex]
Plug this into your calculator and you'll find that:
[tex]x = 6.09[/tex]
how do you solve problem 33
Answers
Answer:
G(-1, 3)
Step-by-step explanation:
You need to try each point in the given equation to see which one does not work.
The definition of the function is that it has two different expressions. The upper expression is used for values of x that are less than or equal to -1.
For values of x less than or equal to -1, the expression is f(x) = 2x + 3.
Look at point F. Its x-coordinate is -1.5. Since -1.5 is less than or equal to -1, use the upper expression. Plug in -1.5 for x and find f(-1.5).
f(x) = 2x + 3
f(-1.5) = 2(-1.5) + 3 = -3 + 3 = 0
That gives point (-1.5, 0), so point F is on the graph of f(x).
Now let's look at point G(-1, 3). For point G, x is -1. Since -1 is also less than or equal to -1, you still use the upper expression for x = -1.
f(x) = 2x + 3
f(-1) = 2(-1) + 3 = -2 + 3 = 1
The point that contains x-coordinate -1 is point (-1, 1). Point G is (-1, 3), so point G is not on the graph of function f.
You already know the answer is point G, but let's continue to show how the other two points are part of the graph of the function.
Point H is (0, 4). For this point, the x-coordinate is 0. The lower expression is used for x greater than -1, and 0 is greater than -1, so you must use the second expression. Now we evaluate the function at x = 0 using the second expression.
f(x) = 4 + x
f(0) = 4 + 0 = 4
giving us point (0, 4).
Point H is (0, 4), so point H is on the graph of the function.
Now we do point J(4, 8). Like for point H, the x-coordinate of point H is greater than -1, so you use the second expression.
f(x) = 4 + x
f(4) = 4 + 4 = 8
giving point (4, 8).
Point J is (4, 8), so it is on the graph.
The only point not on the graph is point G.
Answer: G(-1, 3)
given the following formula, solve for r.
Answers
Answer: Hello mate!
The formula is [tex]F = G\frac{m1*m2}{r^{2} }[/tex]
and we want to solve it for r, which means that we need to isolate r.
The first step is multiply both sides by r squared:
[tex]r^{2}*F = G*m1*m2[/tex]
now we divide both sides by F
[tex]r^{2} =G\frac{m1*m2}{F}[/tex]
now we aply square root in both sides:
[tex]\sqrt{ r^{2} } = r = \sqrt{G\frac{m1*m2}{F} }[/tex]
And now you have r isolated.
Then the right answer is option C.
4/7 times a number minus 8.5 is no more than 11.5
Answers
Hi there! :)
Answer:
4/7 times 35, minus 8.5 is no more than 11.5
The number is : 35
Step-by-step explanation:
Let's replace "a number" by the letter "x" because that's what we are looking for.
4/7 × x = 4/7x
4/7x MINUS 8.5 = 4/7x - 8.5
The expression "no more than" is represented by this sign: ≤
"No more than" can also be "less than or equal to".
The final inequality should look like this:
4/7x - 8.5 ≤ 11.5
Now all you need to do is solve the inequality by isolating "x":
4/7x - 8.5 ≤ 11.5
Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20
4/7x ≤ 20
Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35
x ≤ 35
There you go! I really hope this helped if there's anything just let me know! :)
solve |x| = 74, if possible
Answers
|a| = a for a ≥ 0
|a| = -a for a < 0
|x| = 74 ⇒ x = 74 or x = -74
check:
|-74|=-(-74) = 74
|74| = 74
CORRECT
Answer: x = -74 or x = 74.What percent is equivalent to 840 ? 8% 20% 25% 40%
Answers
Answer:
8/10 are none of these. 8/10 is 80% unless your talking how much percent more to get to 10/10
The correct answer is option (b).20% is equivalent to the fraction [tex]$\frac{8}{40}$[/tex]
To find the percent equivalent to the fraction [tex]$\frac{8}{40}$[/tex], we first simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4 in this case.
[tex]$$\frac{8}{40} = \frac{8 \div 4}{40 \div 4} = \frac{2}{10}$$[/tex]
Now, we convert the simplified fraction to a percentage by multiplying it by 100.
[tex]$$\frac{2}{10} \times 100 = 20\%$$[/tex]
Therefore, 20% is equivalent to the fraction [tex]$\frac{8}{40}$[/tex].
The complete question is:
What percent is equivalent to [tex]$\frac{8}{40}$[/tex]. ?
(a)8%
(b)20%
(c)25%
(d)40%
Bill at a restaurant came to $136.40 the patrons decide to leave a 15% tip what is the total bill including the tip
Answers
Answer:
156.86
Step-by-step explanation:
We start by dividing 136.40 by 100 so we can figure how much 1 percent,(1.364) once we have that we multiply by 15 (20.46), we add that to the total
Answer:
Total bill including the tip = $156.86 .
Step-by-step explanation:
Given:Bill at a restaurant came to $136.40 the patrons decide to leave a 15% tip .
To find: What is the total bill including the tip.
Solution: we have given that
A restaurant bill came = $136.40 .
Tip percentage = 15% of bill
Tip cost = 15% of $136.40 .
Tip cost = $20.46 .
So, total bill including the tip = $136.40 + tip cost
= $136.40 + $20.46
= $156.86 .
Therefore , Total bill including the tip = $156.86 .
20 PTS
a. A transformation maps ZOWE onto LFMA. Does the transformation appear to be an isometry? Explain.
b. What is the image of ZE? z e bar , question mark What is the preimage of M?
Answers
Answer:
1. No
2. The image of ZE is LA, the preimage of point M is point W
Step-by-step explanation:
This transformation maps quadrilateral ZOWE onto quadrilateral LFMA.
1. An isometry is a tansformation that preserves lengths. This transformation is not isometry, because lengths of quadrilatrel LFVA sides are greater than lengths of quadrilateral ZOWE sides.
2. This transformation is a dilation by a factor greater than 1 about some center of dilation. The image of ZE is LA (the image of ZO is LF, of OW - FM, EW - AM). Thus, the preimage of point M is point W.
Answer:
1. NO
2. The image of ZE is LA, the preimage of point M is point W
Step-by-step explanation:
y=7x−3 Choose 1 answer: Choose 1 answer: (Choice A) A Only (1,4)(1,4) (Choice B) B Only (-1,-4)(−1,−4) (Choice C) C Both (1,4)(1,4) and (-1,-4)(−1,−4) (Choice D) D Neither
Answers
Answer:
the correct answer is c
Step-by-step explanation:
Answer:
the real answer is A.ONLY(1,4)
In the diagram below which distance represents the distance from point d to ab
Answers
Answer:CD
Step-by-step explanation:
There is a line from A-B and the fastest way to get there is to go "down" c
Answer: The answer is (A) CD.
Step-by-step explanation: We are given to choose the correct option that represents the distance from point D to AB.
We know that the distance between a point and a line is the length of the perpendicular drawn from the point to the line.
So, here CD will be the required distance from point D to AB, because CD is perpendicular from point D to AB.
Thus, (A) is the correct option.
Which set of points contains the solutions to the inequality y ≤ 8x – 3? A. {(–3,–17), (4,11), (7,19)} B. {(3,22), (2,3), (8,27)} C. {(4,29), (–6,–58), (7,19)} D. {(–2,–18), (4,37), (5,15)}
Answers
Just to clarify, here are the answer choices:
A. {(–3,–17), (4,11), (7,19)}
B. {(3,22), (2,3), (8,27)}
C. {(4,29), (–6,–58), (7,19)}
D. {(–2,–18), (4,37), (5,15)}
And all of the points in the set must satisfy y ≤ 8x – 3.
The only way is to go through each answer choice, eliminating each that is wrong.
A) -17 ≤ -3*8-3
-17 ≤ -21 ✘
B) 22 ≤ 3*8-3
22 ≤ 21 ✘
C) a) 29 ≤ 8*4-3
29≤29 ✔
b) -58 ≤ 8*(-6)-3
-58 ≤ -49 ✔
c) 19 ≤ 7*8-3
19 ≤ 53 ✔
It becomes clear that the answer is C. But just to make sure, we must check D to make sure C is really the answer.
D) -18 ≤ 8(-2)-3
-18 ≤ -19 ✘
That means that C is the answer.
Final answer:
After evaluating each set of points for the inequality y ≤ 8x – 3, it is found that set C satisfies the inequality for all its points, making it the correct set of points containing the solutions to the inequality.
Explanation:
The student's question is related to solving a linear inequality, specifically finding which set of points satisfies the inequality y ≤ 8x – 3.
To find the correct set of points that contain the solutions to this inequality, we must check each pair of (x, y) coordinates provided in the options. A coordinate pair is a solution to the inequality if substituting the x and y value into the inequality makes it a true statement.
For (-3, -17): -17 ≤ 8*(-3) – 3, which simplifies to -17 ≤ -24 – 3. Since -17 is not less than or equal to -27, this pair is not a solution.For (4, 11): 11 ≤ 8×4 – 3, which simplifies to 11 ≤ 32 – 3. Since 11 ≤ 29, this pair is a solution.For (7, 19): 19 ≤ 8×7 – 3, which simplifies to 19 ≤ 56 – 3. Since 19 ≤ 53, this pair is a solution.B. {(3,22), (2,3), (8,27)}
C. {(4,29), (–6,–58), (7,19)}
D. {(–2,–18), (4,37), (5,15)}
After checking each set, we can conclude that set C contains all the solutions to the inequality y ≤ 8x – 3.
Please help answer these questions. My teacher said they were really easy but I just don't understand. Will mark brainliest !!!
Answers
Answer:
1. A = 59
2. A = 43
Step-by-step explanation:
If we have a right triangle we can use sin, cos and tan.
sin = opp/ hypotenuse
cos= adjacent/ hypotenuse
tan = opposite/ adjacent
For the first problem, we know the opposite and adjacent sides to angle A
tan A = opposite/ adjacent
tan A = 8.8 / 5.2
Take the inverse of each side
tan ^-1 tan A = tan ^-1 (8.8/5.2)
A = 59.42077313
To the nearest degree
A = 59 degrees
For the second problem, we know the adjacent side and the hypotenuse to angle A
cos A = adjacent/hypotenuse
cos A = 15.3/21
Take the inverse of each side
cos ^-1 cos A = cos ^-1 (15.3/21)
A = 43.23323481
To the nearest degree
A = 43 degrees
this is index btw people
Answers
A.) 4^2
B.) 5^4
C.) 3^1 x 7^4
D.) 2^2 x 9^4
Hope this helps you!!!!!!
the half life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. starting with 165 grams of radioactive isotope how much will be left after 4 half lives.
Answers
82.5/2=41.25
41.25/2=20.625
20.625/2=10.3125
The answer is 10.3125
Dividing the weight of the radioactive isotope from 4 halves that is 16, the left weight of the radioactive isotope after 4 half-lives is
⇒ 10.3 grams
Given that,
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass.
Here, Starting weight of the radioactive isotope is, 165 grams
Hence, the left weight of the radioactive isotope after 4 half-lives is,
⇒[tex]\frac{165}{(2\times2\times2\times2) }[/tex]
⇒ [tex]\frac{165}{(16) }[/tex]
⇒ 10.3 grams
To learn more about the divide visit:
https://brainly.com/question/28119824
$SPJ4
When f(x) = 25-x squared and g(x) = x+5 (f divided by g times x equals what
Answers
[tex]f(x)=25-x^2,\ g(x)=x+5\\\\\dfrac{f(x)}{g(x)}\cdot x=\dfrac{25-x^2}{x+5}\cdot x=\dfrac{x(25-x^2)}{x+5}\\\\\text{Domain:}\ x\neq-5\\\\25-x^2=5^2-x^2=(5-x)(5+x)\\\\\dfrac{f(x)}{g(x)}\cdot x=\dfrac{x(5-x)(5+x)}{x+5}=x(5-x)=5x-x^2\to\text{simplified form}[/tex]
Isabel is running for president of the chess club, and she received 33 votes. There are 60 members in the club. What percentage of the club members voted for Isabel?
Answers
Answer:
55%
Step-by-step explanation:
Create an equation.
p = votes received / total members
Solve
p = 33 / 60
p = .55
Multiply
Multiply the decimal by 100 to convert the decimal into a whole number.
.55 * 100 = 55
Answer
55 percent of the club members voted for Isabel.
Answer:
55% is your answer
Step-by-step explanation:
Isabel received 33 of 60 votes.
Divide 33 with 60: 33/60 = 0.55
Move the decimal point to the right two place value and attach the percent sign to get the percentage.
0.55 = 55%
55% is your answer
~
Samuel compared the monthly rental rates of two-bedroom apartments in Beverly and Lowell over the years. The results are shown in the table below. Time (years) Beverly Rent ($) Lowell Rent ($) 0 1,870 1,600 1 1,890 1,680 2 1,950 1,764 3 2,055.50 1,852.20 4 2,175.75 1,944.81 Which statement best describes this situation? A. Only the monthly rental cost of apartments in Beverly is changing exponentially. B. Only the monthly rental cost of apartments in Lowell is changing exponentially. C. The monthly rental cost of apartments in neither town is changing exponentially. D. The monthly rental cost of apartments in both the towns is changing exponentially.
Answers
Answer:
B. Only the monthly rental cost of apartments in Lowell is changing exponentially.
Step-by-step explanation:
To identify how the values of the monthly costs of the departments are changing, we must do a test.
The test consists of taking an element [tex]n_{-1}[/tex] and the element n of the series, and dividing [tex]\frac{n}{n_{-1}} = a[/tex]
Then take the element [tex]n_{+1}[/tex] and the element n and divide [tex]\frac{n_{+1}}{n} = b[/tex]
If b = a, then the exponential function of base "b"
But if b> a, then the rate of change of the function is not exponential
For example. For the cost of apartments in Beverly
[tex]n_{-1} = 1870\\n = 1890\\n_{+1} = 1950\\\\\frac{n}{n_{-1}} = \frac{1890}{1870} = 1.011\\\\\frac{n_{+1}}{n} = \frac{1950}{1890} = 1.032\\\\1,032> 1,011[/tex]
So, the cost of apartments in Beverly does not increase at an exponential rate.
We do the same for the cost of the apartments in Lowell.
[tex]n_{-1} = 1600\\n = 1680\\n_{+1} = 1764\\\\\frac{n}{n_{-1}} = \frac{1680}{1600} = 1.05\\\\\frac{n_{+1}}{n} = \frac{1764}{1680} = 1.05\\\\1.05 = 1.05[/tex]
The rate is the same, so the prices increase exponentially.
Finally, the correct answer is option B: B. Only the monthly rental cost of apartments in Lowell is changing exponentially.
Answer:
B. Only the monthly rental cost of apartments in Lowell is changing exponentially.
Step-by-step explanation:
which value is equivalent to 7 ^ 3 A. 21 B.49 C.81 D.343
Answers
Answer:
D. 343 Hope this helps! ;)
Step-by-step explanation:
7^3=343
7*7=49
49*7=343
Hi there!
Answer:
D. 343
*The answer must have a positive sign.*
Step-by-step explanation:
Lesson: Order of operationsIt stands for:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Left too right
First, you do exponent.
[tex]7^3=7*7*7=343[/tex]
[tex]7*7=49[/tex]
[tex]49*7=343[/tex]
Final answer is 343
I hope this helps you!
Thanks!
-Charlie
Have a nice day! :)
:D
there are 14 girls trying out for volleyball.each team will have 6 players.how many full teams will be made?how many girls will not make a team?
Answers
Answer:12 players.
Step-by-step explanation:
Since, only 6 girls can be on a team you have to find out how many teams can there be in total
14 - 6 = 8
since we can subtract another six
8 - 6 = 2
we know now there are 2 full teams and now
which we have left we also know 2 people can not make the team
21 is a factor of 79275. Which of the following will also be a factor of 79275
a. 7 b. 10 c. 13 d. 42
Show working. One line reasoning
Answers
Answer:a. 7 is also the factor.
Step-by-step explanation: 21 is factor of 79275, so check the factors of 21 from options.
7 is factor of 21 so 7 is also factor of 79275.
21 is a factor of 79275 then 7 is also a factor of number 79275
What is Number system?A number system is defined as a system of writing to express numbers.
To determine if a number is a factor of 79275, we need to check if it divides evenly into 79275 without leaving a remainder.
Since 21 is a factor of 79275
we can write 79275 as 21 multiplied by some other number
79275 = 21 × (some number).
If a number is a factor of both 21 and (some number), it will also be a factor of their product, which is 79275.
The only number that is a factor of 21 is 7.
Therefore, 21 is a factor of 79275 then 7 is also a factor 79275
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Pls someone help me
A train is traveling at a steady rate of 65 miles per hour. Which diagram best represents this information?
Which this question is from TTM
Answers
Answer:
Upper left corner
Step-by-step explanation:
Divide the distance D over the time T. If you travel D = 325 miles for T = 5 hours, then your speed or rate R is
R = D/T = 325/5 = 65
So you're traveling at 65 miles an hour if you travel 325 miles in 5 hours, which is what the upper left corner diagram is showing.
find all the zeros of 2x4+x3-14x2-19x-6 two of its zeros are -2 and -1
Answers
Answer:
[tex]-2,\ -1,\ -\dfrac{1}{2},\ 3.[/tex]
Step-by-step explanation:
Consider polynomial [tex]2x^4+x^3-14x^2-19x-6.[/tex]
If x=-2 is its zero, then you can divide the polynomial [tex]2x^4+x^3-14x^2-19x-6[/tex] by [tex]x+2[/tex] and get
[tex]2x^4+x^3-14x^2-19x-6=(x+2)(2x^3-3x^2-8x-3).[/tex]
If x=-1, then the polynomial [tex]2x^4+x^3-14x^2-19x-6[/tex] can be rewritten as
[tex]2x^4+x^3-14x^2-19x-6=(x+2)(x+1)(2x^2-5x-3).[/tex]
The quadratic polynomial has roots
[tex]x_{1,2}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot2\cdot(-3)}}{2\cdot 2}=\dfrac{5\pm \sqrt{25+24}}{4}=\dfrac{5\pm \sqrt{49}}{4}=3,-\dfrac{1}{2}.[/tex]
Then the polynomial [tex]2x^4+x^3-14x^2-19x-6[/tex] has zeros [tex]-2,\ -1,\ -\dfrac{1}{2},\ 3.[/tex]