all answers can be written multiple ways
7. 65/140, 13/28, or 46.43%
8. 18/140, 9/70, or 12.86%
9. 110/140, 11/14, or 78.57%
10. 95/140, 19/28, or 67.86%
If BK,= 19 what is KQ?
Answer:
9.5
Step-by-step explanation:
[tex]\frac{KQ}{BK} = \frac{?}{?}\\ KQ = \frac{BK}{2}\\KQ = \frac{19}{2}\\KQ = 9.5[/tex]
Please help me please help me please
Answer:
Step-by-step explanation:
90-degree rotation
Let me explain, you see point B? Yeah, okay. 90 degrees is a right angle, so you see how the replica blue B is on the line a right angle from it?
That's how you figure that out, if the point is on a line 90 degrees from it it's a 90-degree rotation
If you remain confused please don't hesitate to ask :))
The amplitude of a periodic function is 2.5 and its minimum value is 0 . What is the function's maximum value?
(F) -2.5 (G) 0 (H) 2.5 (I) 5.0
The maximum value of the periodic function will be 2.5 if the amplitude of a periodic function is 2.5 and its minimum value is 0 option (H) 2.5 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The amplitude of a periodic function = 2.5
The minimum value = 0
The maximum value = the amplitude = 2.5
Thus, the maximum value of the periodic function will be 2.5 if the amplitude of a periodic function is 2.5 and its minimum value is 0 option (H) 2.5 is correct.
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Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than three times the largest number.
The three consecutive odd integers are 17, 19 and 21 respectively.
Linear equationsLinear equations are equations that has a leading degree of 1. Given the three consecutive odd numbers to be
2x+1, 2x+3 and 2x+5
If the sum of the smallest number and middle number is 27 less than three times the largest number, then;
2x + 1 + 2x + 3 = 3(2x+5) - 27
Simplify
4x + 4 = 3(2x) + 3(5) - 27
4x + 4 = 6x + 15 - 27
4x - 6x = 15 - 27 - 4
-2x = -16
x = 16/2
x = 8
Determine the numbers
Smallest number = 2x + 1
Smallest number = 2(8) + 1 = 17
Middle number = 2x + 3
Middle number = 2(8) + 3
Middle number = 19
Largest number = 2(8) + 5
Largest number = 21
Hence the three consecutive odd integers are 17, 19 and 21 respectively.
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Johnny manziel of texas a&m is the first freshman to win the heisman trophy. players are given 3 points for every first-place, 2 points for every second-place vote, and 1 point for every third-place vote. manziel received 892 total votes for first, second, and third place, for a total of 2029 points. if he had 4 fewer than twice as many second-place votes as first-place votes, how many votes did he receive for each place
Using a system of equations, it is found that the number of votes that he received for each place is given as follows:
First: 454Second: 229Third: 209.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: number of first place votes that he received.Variable y: number of second place votes that he received.Variable z: number of third place votes that he received.He received 892 total votes, hence:
x + y + z = 892.
Total of 2029 points, hence:
3x + 2y + z = 2029.
He had 4 fewer than twice as many second-place votes as first-place votes, hence:
x = 2y - 4.
Replacing in each of the first two equations:
x + y + z = 892.
2y - 4 + y + z = 892
3y + z = 896.
3x + 2y + z = 2029
3(2y - 4) + 2y + z = 2029
8y + z = 2041.
Multiplying the first equation by -1, and subtracting the second equation from the first, we have that:
5y = 1145
y = 1145/5
y = 229.
The other amounts are given as follows:
z = 2041 - 8y = 2041 - 8(229) = 209.x = 2y - 4 = 2(229) - 4 = 454.Hence the number of votes that he received for each place is given as follows:
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Sharon tracks the number of cupcakes she sells each day for a week. the numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.
the mean of her sales over the week is
29
, and the median is what?
The median of the data is 4.
The mean of data is the ratio of the sum of observations to the total number of observations. The Median is defined as the middle value of data.
Data:23,25,32,35,36,25,27.
The mean of the data is,
[tex]Mean = \frac{Sum \: of \: observation }{Total \: number \: of \: observation}[/tex]
= 23+25+32+25+36+27+27 7
=29
The mean of the data is 29.
The median of the data is,
Arranging the data in ascending order,
23,25,25,27,32,35, 36
[tex]Meadian= \frac{n+1}{ 2} = \frac{ 7+1}{ 2 }[/tex]
= 4
Therefore, the median of the data is 4.
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What is 81826 dived by 160 to the 2nd power?
Answer:
3.19 or 3.2 if round
Step-by-step explanation:
160^2 = 25600
81826 / 25600= 3.19
0.116=? (16 keeps on going)
When written as a fraction, 0.116 can be found to be the equivalent of 29 / 250
How to find the equivalent fraction?The value of 0.116 has 3 decimals after the decimal point. This means that it is a thousandth decimal.
The fraction form is therefore:
= 116/1,000
You can then take this to be simplest form:
= (116 / 2) / (1,000 / 2)
= 58 / 500
= (58 / 2) / (500 / 2)
= 29 / 250
In conclusion, 0.116 = 29/250
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Determine whether each statement is always, sometimes, or never true.
ln e x ≥ 1
[tex]ln(e^x) \geq 1[/tex] is sometimes true, by seen by operations on logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
When x < 1, the given equation is false.For example, let x = 0.1
Then, [tex]ln(e^{(0.1)}) = 0.1 < 1[/tex]
But, when x > 1, the given equation is true.For example, let x = 2
Then, [tex]ln(e^2) = 2 > 1[/tex]
Hence, [tex]ln(e^x) \geq 1[/tex] is sometimes true, by seen by operations on logarithm.
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Write each expression in simplest form. (x¹/₂y⁻²/₃)⁻⁶
The given expression can be simplified by using the rule of negative exponent.
In the expression, there are two terms with negative exponent. The second base term y has a negative exponent -2/3. The second negative exponent -6 is applied to both base terms.
The rule states that the negative exponent can be solved by reciprocating the base term i.e. a^-x=1/a^x.
Solving the negative exponent for y,
Hence, x^1/2y^-2/3=x^1/2/y^2/3.
Solving the second negative exponent -6 that applies to both terms, applying the same rule i.e. a^-x=1/a^x.
(x^1/2/y^2/3)^-6=(y^2/3/x^1/2)^6
Multiplying the powers and simplifying,
y^2/3*6/x^1/2*6=y^4/x^3
The simplest form of the expression (x^¹/₂y^⁻²/₃)^-6 is y^4/x^3.
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If the length of a rectangle is four less than twice its width and the perimeter is
220 inches, what is the width of the rectangle?
The width of the rectangle with a perimeter of 220 inches is 38 inches.
What is the width of the given rectangle?A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.
The perimeter of a rectangle is expressed as;
P = 2( length + width )
Given the data in the question;
Let x represent the width of the rectangle.
Width of the rectangle = xLength = 2x - 4Perimeter = 220 inchesTo solve for the width ( x ), plug the given values into the perimeter formula above and solve for x.
P = 2( length + width )
220 = 2( (2x - 4 ) + x )
220 = 2( 2x - 4 + x )
220 = 2( 3x - 4 )
220 = 6x - 8
6x = 220 + 8
6x = 228
x = 228/6
x = 38
Therefore, the width of the rectangle x is 38 inches.
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Use double-angle identities to write each expression, using trigonometric functions of θ instead of 4θ .
tan 4θ
Answer:
tan4θ=(4tanθ−4tan^3θ)/(1−6tan^2θ+tan^4θ)
Step-by-step explanation:
Clayton wonders what types of sports the students at his school like to play. So, he plans to ask a small sample of them. Pick all the ways of sampling the students that would produce a representative sample.
All the ways of sampling the students that would produce a representative sample are Simple random sampling, Strafied random sampling, Systematic sampling, Cluster sampling, Convenience sampling.
Sampling : In statistics, quality assurance, and survey methodology, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population.
Given that Clayton wonders what types of sports the students at his school like to play. So, he plans to ask a small sample of them.
Explanation:
Let us assume that there are 3000 students in Clayton's school and he has to choose a sample of 20 students.
1) Simple random sampling - Pick 20 of the students of the school from the 3000 students there are in his school.
2) Strafied random sampling - Divide all the students of the school into 4 grades and randomly pick 5 students from each of the grades.
3) Systematic sampling - Pick evert 7th student who enters the school premises until 20 students are picked.
4) Cluster sampling - Pick several 1st period classes of the school then randomly pick students from those classes.
5) Convenience sampling - Ask 20 students from all the 3000 students in the school recess.
Therefore, All the ways of sampling the students that would produce a representative sample are Simple random sampling, Strafied random sampling, Systematic sampling, Cluster sampling, Convenience sampling.
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Alisha and Lowesha share £50 in the ratio 2:3. How much does Lowesha get?
Answer:
she got 30 dollars.
Step-by-step explanation:
2x3x=50
5x=50
5x/5=50/5
=10
10*3=30 dollars
What is -2x + 4 = -10 ?
Answer:
x=7 -2x+4=-10
-2x+4-4=-10-4
Step-by-step explanation:
this should be right pick me brainliest
Confirmed Solution:
[tex]x=7[/tex]
Further Explanation:
Displayed Above
Hope this helps!
Through any three points there is exactly one plane containing them
Answer:
j
Step-by-step explanation:
kl
ABCD is a Rhombus. Solve the following problems. If AE = 8, then find AC
The AC in Rhombus ABCD is 16 cm.
In question it is not given that what is E, so, let suppose that E is intersecting point of diagonals AC and BD of rhombus with side AB, BC, CD and DA.
Rhombus :Rhombus is a parallelogram with four equal sides and sometimes one with no right angles.
As it is given that AE =8 cm.
And, we know that AC is diagonal rhombus,
so, as E is middle point of diagonal AC
Then, AC = 2 × AE
AC = 2 × 8
Hence, AC = 16 cm.
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If n=23, represent 25 and 27 in terms of n
Help!!
Step-by-step explanation:
25= n+2.27=n+5I hope this helped you
Sandy collected 10 pounds of apples at an apple orchard. She is determined to eat 20% of the apples remaining every day after the day she went to the orchard. Write an exponential function to model this scenario and use it to estimate how many pounds of apples she has left after 1 week.
The pounds of apple left after 1 week is 2.1 pounds.
How many pounds of apple would be left?The pounds of apple would decline each day that Sandy eats it.
An exponential function is a function that is used in mathematics with the form: f ( x ) = [tex]a^{x}[/tex]
Where:
x is a variablea is a constantThe pounds of apple left = initial pounds of apple x (1 - rate at which she eats it)^number of days
10 x (1 - 0.2)^number of days
10 x 0.8^7 = 2.1 pounds
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Use the diagram below for questions 15-17.
15. If m/1 = (7x-19), and m/2 = (x + 5)°, find m/2.
16. If m/1 = (6x + 25)°, and m/4= (10x - 11)°, find m/1.
17. If m/4= (3x + 7)°, and m25= (9x - 43)°, find m/UPS
18. If ZW and ZV are supplementary angles and m/V = 49°, find m/W.
S
19. If 21 and 22 are vertical angles, <2 and <3 are complementary angles,
and m/3 = 56°, find m/1.
20. If 21 and 22 form a linear pair and m/1 is 18 degrees less than fives
times the measure of 22, find m/1.
Gina Wilson (All Things
The angle measures for this problem are given as follows:
15. m<2 = 18º.
16. m<1 = 79º.
17. m<UPS = 151º.
18. m<W = 131º.
19. m<1 = 34º.
20. m<1 = 147º.
Item 15Using the angle addition postulate, we have that an angle of 90º is split into two angles, angle 1 and angle 2, hence:
m<1 + m<2 = 90º.
We use this equation to solve for x as follows:
7x - 19 + x + 5 = 90
8x - 14 = 90
8x = 104
x = 104/8
x = 13º.
Hence the measure of angle 2 is given as follows:
m<2 = x + 15 = 18º.
Item 161 and 4 are vertical angles, meaning that they are congruent, hence we can solve for x as follows:
6x + 25 = 10x - 11
4x = 36
x = 9º.
Hence the measure of angle 1 is given as follows:
m<1 = 6(9) + 25 = 79º.
Item 17Angles 4 and 5 are supplementary, meaning that the sum of their measures is of 180º, hence we solve for x as follows:
3x + 7 + 9x - 43 = 180
12x = 216
x = 216/12
x = 18.
The measure of angle UPS is:
m<UPS = m<4 + 90º = 3(18) + 7 + 90 = 151º.
Item 18From the explanation of supplementary angles in item 17, we have that:
m<W + 49º = 180º
m<W = 131º.
Item 19Complementary angles are angles whose sum of the measures is of 90º, hence:
m<2 + m<3 = 90º
m<2 + 56 = 90
m<2 = 34º.
Vertical angles are congruent, hence:
m<2 = m<1 = 34º.
Item 20The measures of the angles are:
m<1 = 5x - 18.m<2 = x.Angles that form a linear pair are supplementary, hence:
m<1 + m<2 = 180
5x - 18 + x = 180
6x = 198
x = 198/6
x = 33.
Then the measure of angle 1 is given by:
m<1 = 5(33) - 18 = 147º.
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What are the domain and points of discontinuity of the rational function? Are the points of discontinuity removable or non-removable? What are the x - and y -intercepts of the rational function?
a. y=1/x²-16
points of discontinuity are x = -4&x = +4.
x = +4 is removable discontinuity
The x- intercept is x = 0The y- intercept is y= -(1/16).
How to find the points of discontinuity of the rational function & find the x - and y -intercepts of the rational function?points of discontinuity:
In rational functions, points of discontinuity are defined as fractions with undefined or zero as their denominator. When the denominator of a fraction is 0, the fraction is no longer defined and shows up as a hole or break in the graph.
points of discontinuity removable:
A point on the graph that is removable discontinuity is one that may be filled in with a single value despite not existing.If an is zero for a factor in the denominator that shares a factor with a factor in the numerator, a removable discontinuity at x=a in the graph of a rational function occurs.
points of discontinuity non removable:
A function's break that cannot be repaired with a single point is referred to as a non-removable discontinuity. It cannot be filled in with a single point, a vertical asymptote (a vertical line that the graph approaches but never crosses because the function is undefined at that x-value) is non removable.
given that y=1/x²-16
write 16 as a 4²
[tex]y = \frac{1}{ {x}^{2} - {4}^{2} } [/tex]
[tex]y = \frac{1}{(x + 4)(x - 4)} [/tex]
now,
domain : x !=4.
points of discontinuity are
(x+4) = 0 (x-4) = 0
x = -4 x = +4
Here x = +4 is removable discontinuity.
The x- intercept is
if x = 0, then
[tex]y = \frac{ 1}{ - 16} [/tex]
The y- intercept is
if y = 0
x = 0.
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A truck rental company rent a moving truck for one day by charging $34 plus 0.09 $ per mile write a linear equation that relates to the cost of c in dollars of renting a truck to the number x of miles driven what is the cost of the renting the truck if the truck is driven 187 miles and 319 miles
A linear equation that relates the cost of c in dollars of renting a truck to the number x of miles driven is c = 0.09x + 39, and the cost of renting the truck if the truck is driven 187 miles and 319 miles is equal to $55.83 and $67.71 respectively.
If the rental company rents a truck by charging $34 and 0.09$ per mile, the liner equation can be given as
c = 0.09x + 39
where c represents the cost in dollars of renting the truck and x represents the number of miles
If the truck is driven 187 miles, it can be calculated using the linear equations as follows,
c = 0.09x + 39
As x = 187
c = 0.09 (187) + 39
c = 16.83 + 39
c = 55.83
If the truck is driven 319 miles, it can be calculated using the linear equations as follows,
c = 0.09x + 39
As x = 319
c = 0.09 (319) + 39
c = 28.71 + 39
c = 67.71
Hence the cost in dollars of renting the truck if the truck is driven 187 miles and 319 miles is calculated to be 55.83 and 67.71 respectively.
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Solve each equation.
3 log x-log 6+log 2.4=9
3 log (x) - log (6) + log (2.4) = 9 => x = 1357.28, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Now,
3 log (x) - log (6) + log (2.4) = 9
=> 3 log (x) - 0.778 + 0.38 = 9
=> 3 log (x) = 9 - 0.38 + 0.778 = 9.398
=> log (x) = 3.13267
Since, generally the base of log is 10, raising them to 10.
=> [tex]10^{log_{10}(x)} = 10 ^{3.13267}[/tex]
=> x = 1357.28
Hence, 3 log (x) - log (6) + log (2.4) = 9 => x = 1357.28, by properties of logarithm.
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An online music store is having a promotion. Customers receive a $ 5 rebate if they buy any regular priced CD at $ 13 each. They can also recelve 15 % off if they register as a store member.
b. In which order should the discounts be applied for the customer to receive the greatest discount?
To receive the greatest discount, the customer should first apply the membership discount and then take the rebate.
We are given that:
Rebate a customer receives if he buys a regular priced CD at $ 13 each = $ 5.
If a customer registers for the store member, he get a discount = 15 %.
Now, let the regular priced CD purchased be x and the application for store member be y.
So, the functions will become:
For rebate:
R (x) = 5 x
For discount:
M (y) = 15 % of x
M (y) = 0.15 x
Now, the amount a customer has to pay if she takes the membership and then takes the rebate =(1 − 0.15) (13 x) − 5 x = 6.05 x
And, if he takes the rebate first and then take the membership, he pays = (13 - 5 x)( 1 - 0.15) = 6.8 x
Therefore, we get that, to receive the greatest discount, the customer should first apply the membership discount and then take the rebate.
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whats the easiest way to solve division
the easiest way to solve division is to first use calculator if you don't have it you can count the number by dividing them
What is 101010101x70000000
10,15,00,000\
or 10,000,000,
Answer:
7.07070707E15
Step-by-step explanation:
Each of Mrs. White's two children received $50 for their savings account. The original amounts in their savings accounts
were $500 and $300, respectively. Which savings account had a greater percent of increase?
The child that will have a greater percentage of increasing amounts is; The child with original amount of $500
What is the percentage increase?
The amount that has increased from the initial number to the final number in terms of 100 parts of the original is essentially what the concept of percentage increase refers.
We are given that the original amount found in their savings account are;
First child; A = $500
Second child; B = $300
Thus the first child denoted by A has greater amount in savings compared to the second child and as such child A will have a greater percentage of increasing amounts.
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Answer: The older child.
Step-by-step explanation: The original amounts in their savings accounts
were $500 and $300, respectively.
What is the solution of 4+√3 x+5=7 ?
The solution of 4+√3 x+5=7 is x = ( - 2 ) / [tex]\sqrt{3}[/tex] .
Linear Equation : An equation ( containing equal to = sign ) is called a linear equation if the highest power of variable is 1 . In order to solve linear equation in 1 variable 1 equation is enough .
Solving linear eq . in 1 variable
4+√3 x+5=7
√3 x = 7 - 5 - 4
x = ( - 2 ) / [tex]\sqrt{3}[/tex]
Hence , the solution of 4+√3 x+5=7 is x = ( - 2 ) / [tex]\sqrt{3}[/tex] .
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Identify each function as linear, quadratic, or exponential. Explain your reasoning.
a. y=3(x+1)²
The equation is a quadratic equation.
Linear equation is a equation whose degree is 1. Degree is defined as the highest power of the variable in a polynomial function.
Quadratic equation is a equation whose degree is 2.
Exponential equation is a equation in which the variable appear a exponents.
Now we have been the equation that is,
[tex]y=3(x + 1)^{2}[/tex]
Expanding this we would get
y = 3([tex]x^{2}[/tex] + 1 + 2x)
y = 3[tex]x^{2}[/tex] + 2x + 3
Here the highest power is 2 that is the degree is 2 . Thus this equation is a quadratic equation.
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Rewrite, using the distributive
property.
28 (y-7)= = [?]y -[]
Answer:
28y-196
Step-by-step explanation:
28(y-7)
Multiply y and -7 by 28.
(28*y)-(7*28)
Simplify.
28y-196