Answer:
B
Step-by-step explanation:
An algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself is 360 / a.
What is a polygon?A polygon is a closed figure made up of three or more line segments connected end to end.
A polygon in the plane has rotational symmetry when the figure is mapped onto itself by rotating between 0 and 360° about its center.
So, we need to find the number of symmetrical lines a regular polygon.
A regular polygon with a sides has n lines of symmetry and order of symmetry.
Then, let a be the number of symmetrical line lines
An algebraic expression represents the number of degrees of rotation about the polygon’s center that would carry the polygon onto itself is 360 / a.
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The sum of three consecutive even integers is 18 more than five-halves the smallest integer. What is the product of the smallest and largest integer?
The product of the smallest and largest integer is 672
What is the product of the smallest and largest integer?Represent the smallest even integer with x.
So, the other even integers are x + 2 and x + 4
The sum is represented as
x + x + 2 + x + 4 = 18 + 5/2x
Evaluate the like terms
3x + 6 = 18 + 5/2x
Evaluate the like terms
1/2x = 12
Multiply by 2
x = 24
The largest integer is x + 4
So, we have
x + 4 = 24 + 4
x + 4 = 28
The product of the smallest and largest integer is
Product = 24 * 28
Evaluate
Product = 672
Hence, the product of the smallest and largest integer is 672
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2.1 Convert the following common fractions to decimal fraction. 2.1.2.
\( \frac{9}{25} \)
The decimal fraction that represents the given fraction is: 0.36.
How to convert to decimal fractionsTo convert the figure from the given form to the decimal fraction, you can choose to use the long division format or simply divide it with the common factors. Between, 9 and 25, there is no common factor, so the best method to use here will be long division. Thus, we can proceed as follows:
1. 25 divided by 9
This cannot go so, we put a zero and a decimal point as follows: 0.
Then we add 0 to 90
2. Now, 25 divided by 90 gives 3 remainders 15. We add 3 to the decimal: 0.3
3. 90 minus 75 is 15. we add a 0 to this and divide 150 by 25 to get 6. This is added to the decimal to give a final result of 0.36.
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Identify next three numbers in this sequence: 3, 12, 6, 24, 18, … 27, 13.5, 22.5 72, 66, 264 72, 36, 144 27, 21, 30
Answer:
its 72, 36, 144
Step-by-step explanation:
yes it is!!!
Consider a closed rectangular box with a square base. If "x" is measured with a maximum error of 2% and "y" is measured with a maximum error of 3%. Use a differential to calculate the corresponding percentage error in the calculation of:
a) The surface of the box
b) The volume of the box
The corresponding percentage error in the calculation of the volume of the box is 44%.
a) Percentage error in the calculation of the surface area of the box:
Using the formula for the differential of S, we have:
dS = ∂S/∂x * dx + ∂S/∂y * dy∂S/∂x =
4x∂S/∂y = 4x
From this, the percentage error in S is given by:
(dS/S) * 100 = [(∂S/∂x * dx)/S + (∂S/∂y * dy)/S] * 100
= [(4x * 0.02)/S + (4x * 0.03)/S] * 100
= (0.02 + 0.03) * 100
= 5%
Hence, the corresponding percentage error in the calculation of the surface of the box is 5%.
b) Percentage error in the calculation of the volume of the box:
Using the formula for the differential of V, we have:
dV = ∂V/∂x * dx + ∂V/∂y * dy∂V/∂x
= 2xy∂V/∂y
= x^2
From this, the percentage error in V is given by:
(dV/V) * 100 = [(∂V/∂x * dx)/V + (∂V/∂y * dy)/V] * 100
= [(2xy * 0.02)/V + (x^2 * 0.03)/V] * 100
= (0.04y/x + 0.03x/y) * 100
= (0.04/0.03)(y/x)(0.03x/y + 0.04y/x)
= (4/3)(0.03 + 0.08)
= 0.44 or 44/100
Hence, the corresponding percentage error in the calculation of the volume of the box is 44%.
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Remember, find the area of each set of faces and then add. Enter digits only.
SA = _____ yd2
Step-by-step explanation:
35 × 14 = 476
476 × 4 = 1904 yd
14 × 14 = 196
196 × 2 = 392 yd
now,
392 yd + 1904 yd = 2296 yd². ans.
hope this helps you !
a person leaves home at 8:00 am and drives to a destination at a rate of 40 miles per hour. the person returns at a rate of 25 miles per hour and arrives at 2:30 pm. how far was the destination?
Answer:
100mi
Step-by-step explanation:
An elevator started at the first floor and went up 18 floors. It then came down 11 floors and went back up 16.
At what floor was it stopped?
Please give me the explanation so I KNOW that it's right? Thanks.
Answer:
its A, B, C or D
Step-by-step explanation:
it has to be one of them.
Answer:
Step-by-step explanation: E, look at which side E is on, look at the other triangles angle that corresponds with it, so It's E.
Please help please please
Answer: Profit
Step-by-step explanation:
1. She made profit
2. She got 300 more than what she bought it for.
3. Her percentage was I think 25% more ( i am not sure on this one)
Is 30% of 70 is the same as 3/7 of 70?
Answer:
No
Step-by-step explanation:
30% is the same as 3/10
3/7 is about the same as 43%
There is a difference among the percentage so no it's not correct
Yes, the value 30% of 70 is the same as 3/7 of 70.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
To show this mathematically, we can start by calculating 30% of 70:
30% of 70 = (30/100) x 70
= 0.3 x 70
= 21
Now, let's calculate 3/7 of 70:
3/7 of 70 = (3/7) x 70
= 30/100 x 70
= 0.3 x 70
= 21
As we can see, both calculations give us the same result of 21. Therefore, 30% of 70 is the same as 3/7 of 70.
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When solving p2+5=8p-7, kate wrote p2+12=8p. The property she used is
Answer:
She used the addition property of equality:
p2 + 5 = 8p - 7
+7 +7
p2 + 12 = 8p
what would be the effect on the trial balance if the purchase of marketable securities of $1,000 had been recorded to the equipment account in error? would the trial balance still be in balance?.
The effect on the trial balance if the purchase of marketable securities of $1,000 had been recorded to the equipment account in error is that the trial balance would not be in balance anymore.
A trial balance is a financial statement that summarizes all the accounts of a company's general ledger with its debit balances and credit balances to check if they are equal. When the purchase of marketable securities of $1,000 is recorded to the equipment account in error, this means that the entry was recorded in the wrong account. The equipment account would be overstated by $1,000 and there would be no change in the marketable securities account, thus leading to a mismatch between the total debit and credit amounts recorded. As a result, the trial balance would not be in balance anymore.
Explanation:A trial balance is a summary of all the accounts of a company's general ledger. It's a statement that lists all the debit balances in one column and all the credit balances in another column, which is used to confirm the accuracy of the accounts before preparing the financial statements of a company. The totals of both columns should match if the trial balance is correct. If not, it indicates an error that needs to be corrected.
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The graph of line is shown below. Yes
y
(-2,9) 81
6
41
21
(6.1)
X
4-2
2
4
6
8
Nol
-4
-61
-
What is the slope of line i?
Answer:
where is the graph??
Step-by-step explanation:
Find the the perimeter of triangle JKL
Answer:
60
Step-by-step explanation:
Tangents to a circle from a common external point are congruent, thus
JA = JB = 6
AL = KC = 11
CK = KB = 13
Thus
perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60
The perimeter of a triangle JKL is 60 units. Therefore, option D is the correct answer.
What is tangent property of a circle?A Tangent of a Circle is a line that touches the circle’s boundary at exactly one point. The tangential point is the place where the line and the circle meet. The lengths of tangents drawn from an external point to a circle are equal.
Given that,
Given that, JK, KL and LJ are all tangent to O. JA=6, AL=11 and CK=13.
In the figure,
From the external point J, tangents JA=JB
JB=6
From the external point L, tangents AL=LC
LC=11
From the external point K, tangents KB=KC
BK=13
So, JL=JA+LA
JL=6+11=17
LK=LC+CK
= 11+13
= 24
JK=JB+KB
= 6+13
= 19
Now, the perimeter is JL+LK+JK
= 17+24+19
= 60 units
Therefore, option D is the correct answer.
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given the function () = (8)/(10 8), determine an expression for both the magnitude and phase as a function of . show your work
The expression for the magnitude and phase as a function of (\(\omega\)) is:
Magnitude: (\(A(\omega) = \sqrt{10496}\))
Phase: (\(\theta(\omega) = \arctan\left(\frac{-64}{80}\right)\))
To determine the magnitude and phase of a complex function, we need to express it in the standard form of a complex number, which is \((A \angle \theta)\), where (A) is the magnitude and (\theta) is the phase.
Given the function (\(f(\omega) = \frac{8}{10 + 8j}\)), we can find the magnitude and phase as follows:
First, let's express the function in the standard form:
[\(f(\omega) = \frac{8}{10 + 8j} = \frac{8}{10 + 8j} \times \frac{10 - 8j}{10 - 8j} = \frac{80 - 64j}{100 + 80j}\) ]
Now, we have the numerator and denominator in the form (a + bj). To find the magnitude, we use the formula:
[A = \(\sqrt{a^2 + b^2}\)]
where (a = 80) and (b = -64). Substituting these values, we get:
[A = \(\sqrt{80^2 + (-64)^2} = \sqrt{6400 + 4096} = \sqrt{10496} \approx 102.439\)]
To find the phase, we use the formula: [\(\theta = \arctan\left(\frac{b}{a}\right)\)]
where (a = 80) and (b = -64). Substituting these values, we get:
\(\theta = \arctan\left(\frac{-64}{80}\right) = \arctan(-0.8) \approx -38.66^\circ\)
Therefore, the expression for the magnitude and phase as a function of \((\omega)\)is:
Magnitude: \((A(\omega) = \sqrt{10496})\)
Phase: \((\theta(\omega) = \arctan\left(\frac{-64}{80}\right))\)
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A survey was conducted to find the possible relationship between gender and the color of the car the person owns. The data is represented in the
frequency table shown.
Blue
Total
Red
53
Male
Female
Total
25
75
Black
72
45
117
30
83
150
150
300
100
What percentage of the people surveyed were females who own a blue car?
Answer:
25 %
Step-by-step explanation:
Find the measure of angleq, the smallest angle in a triangle whose sides have lengths 4, 5, and 6. round the measure to the nearest whole degree. 34° 41° 51° 56°
The measure of the ∠Q = 41°
By law of cosines:
a law in trigonometry: the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.
Which can we stated as:
\({q}^2 = {p}^2 + {r}^2 - 2prcos(Q)\\{4}^2 = {6}^2 + {5}^2 - 2*6*5*cos(Q)\\\\\)
solving equation using normal algebra:
60cos(Q) = 36 + 25 - 16
60 cos(Q) = 45
cos(Q) = 45/60
cos(Q) = 3/4
\(Q = {cos}^{-1} (\frac{3}{4})\\\)
Thus, Q = 41°
Hence, the measure of the smallest angle in a triangle whose sides have lengths 4, 5, and 6. ∠Q is 41°.
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Question 3 of 10
What is the solution to this equation?
2x+x-11+3-7x=15
OAX-1
A.
O B. x-23
O
C. x=-23
How many ways can you roll a single die and get a 2, followed by a 2?
there is only one way to roll a single die and get a 2, followed by a 2.
What are likely outcomes?
Likely outcomes are the outcomes that have a high probability of occurring in a given situation. In probability theory, the likelihood of an outcome is often expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Assuming that the die is fair and has six equally likely outcomes, the probability of rolling a 2 on a single roll is 1/6. The probability of rolling two 2's in a row is the product of the probabilities of rolling a 2 on each roll, which is (1/6) x (1/6) = 1/36.
To find the number of ways to roll a single die and get a 2, followed by a 2, we can consider the possible sequences of rolls. Since we need two 2's in a row, the only possible sequence that satisfies this condition is rolling a 2 followed by another 2. Therefore, there is only one way to roll a single die and get a 2, followed by a 2.
In summary, there is only one way to roll a single die and get a 2, followed by a 2, and the probability of this event is 1/36.
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о
О A. y< x
у>4
О B. y< x
y<4
( C. y> x
у>4
о D. y> x
y<4
-5
5
5
Answer:
b
Step-by-step explanation:
B
the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains how many acres?
The n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of Section 19 contains 40 acres.
The method used for land surveying is called the government rectangular survey system.
This system is commonly known as the Public Land Survey System (PLSS) of the United States. It is based on a grid network. The grid is formed with meridians and baselines.
The meridians are the imaginary lines running north to south, and the baselines are the imaginary lines running east to west. The meridians and baselines are named as ranges and townships, respectively.
Each range is 6 miles wide and numbered consecutively, beginning with the one on the far west side of the state. The townships are numbered from 1 to 36, in sequence, beginning at the southeast corner of the state. The government rectangular survey system divides the land into smaller units as follows:
Each township is further divided into 36 sections, each section is one square mile, or 640 acres.
Each section is further divided into halves, or 320 acres, and each half is divided into quarters, or 160 acres, and each quarter is divided into quarters again, or 40 acres.
Finally, each 40-acre parcel is divided into quarters, or 10 acres.
Therefore, the n 1/2 of the se 1/4 of the sw 1/4 and the ne 1/4 of the sw 1/4 of section 19 contains 40 acres.
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Use Pascal's triangle to find the coefficient of the third term in the expansion of (a + b)2.
Question 10 options:
A)
3
B)
1
C)
4
D)
2
Answer:
B
Step-by-step explanation:
(a+b)^2
using Pascal triangle
1 1
1 2 1
1 3 3 1
so the third term in the expansion of (a+b)^2
we use
1 2 1
a^2 + 2ab+b
hence the coefficient of third term is 1
option B is collect
Properties of exponents
Rewrite the expression in the form b^n—— (b^2)^3/7
Answer:
\(b^{\frac{6}{7}}\) is the required expression.
Step-by-step explanation:
\((b^2)^{\frac{3}{7}}\\\\\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\\\\=b^{2\cdot \frac{3}{7}}\\\\=b^{\frac{6}{7}}\)
Best Regards!
The table below displays results from experiments with polygraph instruments. Find the positive predictive value for the test. That is, find the probability that the subject lied, given that the test yields a positive result.
Did the Subject Actually Lie?
No (Did Not Lie) Yes (Lied)
Positive test results 20 40
Negative test results 32 11
The probability is (Round to 3 decimals)
The positive predictive value for the test is 0.556.
Can we determine the probability of lying given a positive test result?In this case, the positive predictive value is calculated by dividing the number of true positives (40) by the sum of true positives (40) and false positives (20). Therefore, the probability of the subject actually lying, given a positive test result, is 0.556 or 55.6%.
The positive predictive value (PPV) is a statistical measure that determines the probability of a positive test result being accurate or true. It assesses the likelihood that an individual has a specific condition or characteristic based on the test outcome. In this scenario, the PPV represents the probability that the subject lied, given that the test yielded a positive result. It is calculated by dividing the number of true positives (subjects who lied and tested positive) by the sum of true positives and false positives (subjects who did not lie but tested positive). The PPV provides valuable information about the reliability and usefulness of the polygraph test in identifying deceitful individuals.
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Ajay reads aloud from a sports magazine. He comes across the measurement 0.63 kilometer. How should he read this measurement aloud? Explain how you know.
Answer:
"sixty-three hundredths of a Kilometer"
Step-by-step explanation:
Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"
Find the Pattern
12 ↦ −1
3 ↦ −4
0 ↦ −5
−1 ↦ −5.3…
−9 ↦ −8
I have to find a formula to get from the left number to the right number, but I cannot find the pattern. How do I do this, and what is the solution?
Answer: y = (1/3)x - 5
This is the same as writing \(y = \frac{1}{3}x-5\)
======================================================
Explanation:
Assume we have a linear pattern matching the form y = mx+b.
The first row has x = 12 lead to y = -1
The second row has x = 3 lead to y = -4
This produces the two points (12,-1) and (3,-4)
Let's find the slope through those points.
m = (y2-y1)/(x2-x1)
m = (-4-(-1))/(3-12)
m = (-4+1)/(3-12)
m = -3/(-9)
m = 1/3
The slope is 1/3.
The y intercept is b = -5 since x = 0 leads to y = -5
We go from y = mx+b to y = (1/3)x - 5
--------------------------
To verify we have the correct equation, plug in each left side value as x values.
Let's try x = 12
y = (1/3)x - 5
y = (1/3)*12 - 5
y = 4 - 5
y = -1
This shows that the input x = 12 maps to the output y = -1
i.e. 12 ↦ −1 is the case here.
Repeat for x = 3
y = (1/3)x - 5
y = (1/3)*3 - 5
y = 1 - 5
y = -4
We can see that 3 ↦ −4 occurs.
I'll let you check the others, but you should find that the other mappings hold true as well. Therefore, the answer has been fully confirmed.
PLSSS HELPPP
A graph of f (x) is given. Complete the statements for the domain and range of f¹(x).
Domain of f-1(x)
Range of f-1(x)
The domain for given function f(x) is {-7,5} and range is {7,-3}
What is range and domain of a function?
Domain
The set of all possible values which qualify as inputs to a function is known as the domain of the function, or it can also be defined as the entire set of values possible for independent variables. The domain can be found in – the denominator of the fraction is not equal to zero and the digit under the square root bracket is positive. (In the case of a function with fraction values).
Range
The set of all the outputs of a function is known as the range of the function or after substituting the domain, the entire set of all values possible as outcomes of the dependent variable.
Now
As shown in graph,
for the domain {-7,5}, the range is {7,-3}.
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James and mark are delivering newspapers. If James delivers 100 papers in one hour and Mark delivers
150 papers in two hours, how long will it take both of them working together to deliver 1225
newspapers?
Answer:
7 hours!
Step-by-step explanation:
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equation that has the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;
2.3p – 10.1 = 6.49p – 4 230p - 1010 = 649p - 400How to rewrite an equation?2.3p – 10.1 = 6.5p – 4 – 0.01p
The equation that has the same solution as above can be found as follows;
2.3p – 10.1 = 6.5p – 4 – 0.01p
combine like terms
2.3p – 10.1 = 6.5p – 0.01p - 4
2.3p – 10.1 = 6.49p – 4
Multiply through by 100.
Therefore,
230p - 1010 = 649p - 400
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O Personal math Iainer23 4 596 7 810VieFind the sum. You may find using a number line to be helpful. Express your answer as a simplified mixednumber, if necessary.Ste3+1/2VidТехThe result isPrit
We will find the sum of 3+ 1 1/2 with help of a