Answer:
45%
Step-by-step explanation:
x * 29 = 13
x = 13/29
x = 0.448
45%
question shown in picture below!!(i only need the 2nd one)
Given the following sequence:
[tex]\mleft\lbrace17,14,11,8,\ldots\mright\rbrace[/tex]notice that the common difference between each term is -3, therefore, we can use the explicit formula for a sequence:
[tex]\begin{gathered} a_n=a_1+(n-1)\cdot d \\ d=-3 \\ a_1=17 \\ \Rightarrow a_n=17+(n-1)(-3) \\ \Rightarrow a_n=17-3n+3=20-3n \\ a_n=20-3n \end{gathered}[/tex]we have that the explicit formula is a_n=20-3n, while the recursive formula is:
[tex]\begin{gathered} a_n=a_{n-1}+d \\ d=-3 \\ \Rightarrow a_n=a_{n-1}-3 \end{gathered}[/tex]Which of the following lists of data has the largest standard deviation? Hint: you should not need to compute the standard deviation for each list.Select the correct answer below:22, 25, 25, 22, 25, 23, 24, 23, 26, 2413, 11, 11, 11, 10, 14, 14, 10, 11, 1116, 14, 15, 15, 16, 16, 15, 16, 18, 1425, 23, 25, 22, 21, 25, 22, 21, 25, 237, 14, 19, 18, 4, 16, 5, 11, 11, 12
Answer:
7, 14, 19, 18, 4, 16, 5, 11, 11, 12
Explanation:
The standard deviation is a statistic that measures the spread of a dataset relative to its mean.
From the given options, find the range in each of them:
[tex]Range=Highest\;Value-Lowest\;Value[/tex]• Option 1: Range = 26-22=4
,• Option 2: Range=14-10=4
,• Option 3: Range=18-14=4
,• Option 4: Range = 25-21=4
,• Option 5: Range = 19-4=15
We see that the dataset in Option 5 has a far greater range and thus the dataset will have the biggest spread relative to its mean.
Option 5 has the largest standard deviation.
if the sum of the first three terms of a GP is half it's sum to infinity. find it's positive common ratio.
Answer:
See below
Step-by-step explanation:
Sum of n = inf = a / ( 1-r) one half of this = 1/2 ( a/(1-r) )
Sum of first 3 terms = a ( 1- r^n) / ( 1-r) = a (1-r^3) / (1-r)
The underlined value are equal ( given in the Q)
1/2 a / (1-r) = a ( 1-r^3) / (1-r) Multiply both side by ( (1-r) )
1/2 a = a ( 1-r^3) divide both sides by a
1/2 = 1- r^3 subtract 1 from both sides
-1/2 = - r^3
1/2 = r ^3
r = cuberoot ( 1/2) = 1/2 ^(1/3) = .793700526
please help and could u give all the steps if there’s more after this thank you so much
Angle IJL is 54 because congruent angles have equal measure.
What are congruent angles?
Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.
According to question, angle m IKL = 54
And AB// CD and EF// GH
Angle IKL is alternate interior angle to angle HLK
m angle HLK= m angle IKL (congruent angles have equal measure)
m angle HLK= 54
Similarly, m angle IJL = m angle HLK
Hence, angle IJL= 54
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Find the percentage decrease and round to the nearest tenth
Answer:
16.6%
Step-by-step explanation:
First, find the difference between the prices:
$3.95 - $3.45 = $0.50
Then, divide the difference by yesterday's price.
$0.50 ÷ $3.95
≈ 0.166
≈ 16.6%
Answer:
12.7%
Step-by-step explanation:
$3.95 - $3.45 = $.50
$.50 / $3.95 = .127 = 12.7%
Translate Pre image coordinates right 14 units and up 13 units.
We will have the following:
We translate the points:
A(-12, 3)
B(-6, -3)
C(-12, -9)
The transformation rule is (x, y) -> (x + 14, y + 13); so:
A'(2, 16)
B'(8, 10)
C'(2, 4)
The table shows a proportional relationship.
x 12 8 24
y 3 2 6
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (3, 12).
A line passes through the point (0, 0) and continues through the point (2, 8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
A graph of which best describes what the proportional relationship would look like is: D. A line passes through the point (0, 0) and continues through the point (12, 3).
What is a graph?In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.
Additionally, a graph that represents a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).
Since the graph represents a proportional relationship we have:
Constant of proportionality, k = 12/3 = 8/2 = 24/6 = 4
Ratio = 24:6 = 12:3.
Therefore, (0, 0) and (12, 3) are points on this graph that represents a proportional relationship.
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Answer:d
Step-by-step explanation:trust
Perform the following division and write the quotient in trigonometric form. Write the magnitude in exact form. Write the around it to two decimal places if necessary.8i4 + 5i
SOLUTION
The given complex expression is:
[tex]\frac{-8i}{4+5i}[/tex]Rationalize the denominator
This gives
[tex]\begin{gathered} \frac{-8i}{4+5i}\times\frac{4-5i}{4-5i} \\ =\frac{-32i-40}{16+25} \\ =-\frac{40}{41}-\frac{32i}{41} \end{gathered}[/tex]The formula for the area of a triangle is A = -bh, in which b represents the length of the base and h2represents the height. If a triangle has an area of 115 mm2 and the height is 10 mm, what is the measureof the base?The measure of the base ismm.
The formula for the area of a triangle is A is;
Determine the odds against rolling a 4 on one roll
of a die.
Solution
P(4)=1
6
5
P (fails to roll a 4)=-
6
Answer:
1/6
Step-by-step explanation:
SIX possible rolls 1,2,3,4,5,6
4 is 1 out of 6 or 1/6
Question 2-20
Mrs. Kimsey purchased a bushel of large apples that weighs about 48 pounds. The bushel contains 96 apples. What is the approximate
weight, in ounces, of one apple?
02
O 16
32
Weight of one apple is 8 ounces.
We have to calculate the weight of one apple. For that firstly, we have to calculate the weight of one apple in pounds because we have been given the weight of 96 apples in pounds. After that, we will convert it into ounces and we know that one pound is equal to 16 ounces.
A bushel has 96 apples.
We have been given weight of 1 bushel which is 48 pounds.
Weight of 96 apples = 48 pounds
We have to calculate weight of one apple.
Weight of one apple = 48/96 = 1/2 pound
1 pound = 16 ounces.
Now, we have to convert pounds into ounces
Weight of one apple = 1/2 * 16 ounces
= 8 ounces
Hence, the answer is 8 ounces.
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The solution to the given expression is 10√5 - 4√10 which is the correct answer would be an option (C)
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
The given expression as:
⇒ √5(10 - 4√2)
Open the parentheses and apply the distributive property of multiplication to get,
⇒ 10√5 - 4√5√2
⇒ 10√5 - 4√(5 × 2)
⇒ 10√5 - 4√10
Therefore, the solution to the given expression is 10√5 - 4√10.
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2 5 4 Q Find the area of the shaded region above.
As you can see in the given figure, there are two different shapes.
One is a rectangle and the other is a triangle.
Recall that the area of a rectangle is given by
[tex]A_R=L\cdot W[/tex]Where L is the length and W is the width.
As you can see from the figure,
W = 4
L = 5
So the area of the rectangle is
[tex]A_R=L\cdot W=5\cdot4=20[/tex]Recall that the area of a triangle is given by
[tex]A_T=\frac{1}{2}\cdot b\cdot h[/tex]Where b is the base of the triangle and h is the height of the triangle.
As you can see from the figure,
b = 4
h = 2
So the area of the triangle is
[tex]A_T=\frac{1}{2}\cdot b\cdot h=\frac{1}{2}\cdot4\cdot2=\frac{1}{2}\cdot8=\frac{8}{2}=4[/tex]Now the total area of the shaded region is the sum of the area of the rectangle and the area of the triangle.
[tex]A=A_R+A_T=20+4=24[/tex]Therefore, the area of the shaded region is 24
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Roseanne makes 1 1/2 of strawberry lemonade. She pours 1/4 of a liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Roseanne's brother drink? Which expression can be used to determine the amount of lemonade Roseanne's brother drank? A. 1 1/2 - (1/4 x 2/5) B. (1 1/2 + 1/4) x 2/5 C. (1 1/2 - 1/4) x 2/5 D. (1 1/2 - 1/4) ÷ 2/5
we know that
the total lemonade is 1 1/2 liter
She pours 1/4 of a liter of lemonade into a thermos
Her brother drinks 2/5 of the remaining lemonade
the remaining lemonade is equal to
1 1/2-1/4=3/2-1/4=5/4 liters
Multiply by 2/5
(5/4)(2/5)=10/20=1/2 liter
therefore
answer is option
C. (1 1/2 - 1/4) x 2/5
can you give me some examples of how to simplify
Let's check out the expression
[tex]2x+4+6y+7+2+3x[/tex]To simplify, you have to add up similar terms. That is, add up everything that has an x, add up everything that has a y, and add up every independent term (no variable), as following:
[tex]\begin{gathered} 2x+4+6y+7+2+3x\rightarrow2x+3x+6y+4+7+2 \\ \rightarrow5x+6y+13 \end{gathered}[/tex]And there we have the simplified expression.
S is the midpoint of segment OU. OS= 7x-9 and SU=4x+3. Determine the length of segment OU.
Answer:
The equation for the value of OU is;
[tex]OU=11x-6[/tex]Explanation:
Given that S is the midpoint of segment OU.
Then;
[tex]OU=OS+SU[/tex]Given in the question;
[tex]\begin{gathered} OS=7x-9 \\ SU=4x+3 \end{gathered}[/tex]Substituting the values of OS and SU to get OU;
[tex]\begin{gathered} OU=OS+SU \\ OU=7x-9+4x+3 \\ OU=7x+4x-9+3 \\ OU=11x-6 \end{gathered}[/tex]Therefore, the equation for the value of OU is;
[tex]OU=11x-6[/tex]The half life of iron-59 is 44.5 days. How much of
a 50g sample would remain after 178 days?
Answer:
If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.
explanation:
After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.
AT = A0 2(-T/H)
A178 = (50) 2(-44.5/178)
A178 = 3.125
The state transportation commission counted cars traveling east and west across a toll bridge. 75% of the 588 cars counted were traveling east. How many eastbound cars did the commission count?
Answer: the answer is 441
Step-by-step explanation: 75% of 588 is 441
Solve and check the equation X-23=16
Answer:x=39
Step-by-step explanation:
x-23=16
x=16+23
x=39
I need help with the question above. I took a picture of it.
The answer is: It will be a line.
how do I find the given z score
The formula for calculating a z-score is
[tex]z=\frac{x-\mu}{\sigma}[/tex]Where:
*x is the raw score
*μ is the population mean
*σ is the population standard deviation
Which of the following would result in an integer?
O a.) 120
O b.) √144
O c.) √52
O d.) √24
The answer is either Option (a) or option(b) or both the options i.e, 120 or √144
What is Integer ?
An integer is a whole number from the set of -ve , non-negative , +ve and 0 numbers.
Let's see how both the option is correct
we know, integers are 0,1, 2, 3, .... or -1, -2 , -3 ......
Means the number which is not in fraction or decimal value or root.
so, by seeing option(a) we can say it's an integer
but in option(b) it's the root so how it is integer
The answer is simple it's perfect square of 12 so √144 = 12 so that means it have the value which is not in fraction. By that we can say that option(b) is also an integer
Now, in option(c) and (d) they are not the perfect square and their root results in decimal values. so we cannot tell them as an integer value.
Hence, the answer is either Option (a) or option(b) or both the options.
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twice the difference of a number 4 is 5.
Answer:25
Step-by-step explanation:
1. A piece of power transmission equipment is being designed. The design includesa set of three different meshed gears with a total of 107 teeth between them. If thesecond gear has 13 more teeth than the first gear. The third gear has 15 more teeththan the second gear.How many teeth does the second gear have?
where x is the first, y the second and z the third
the second gear has 13 more teeth than the first gear
[tex]x+13=y[/tex]The third gear has 15 more teeth than the second gear
[tex]y+15=z[/tex]we need solve z form the third equation and solve x from the second equation an replace on the first
[tex]\begin{gathered} z=y+15 \\ x=y-13 \end{gathered}[/tex]replacing
[tex]\begin{gathered} (y-13)+y+(y+15)=107 \\ y-13+y+y+15=107 \\ 3y+2=107 \\ 3y=105 \\ y=35 \end{gathered}[/tex]so, the second gear have 35 teeth
given the preimage coordinates complete the translation provide and give the image Coordinates
The coordinates are made up of an x-coordinate and a y-coordinate, written in the form (x, y), the translation given is (x + 1, y - 1), which means adding +1 to all x-coordinates and subtracting -1 to all y-coordinate.
Then, the pair B(0, -4) will be transformed into B'(0 + 1, -4 - 1) → B'( 1, -5)
C( -1, 1) → C' (-1 + 1, 1 - 1) → C'( 0, 0)
D( 1, 3) → D' ( 1 + 1, 3 - 1) → D'( 2, 2)
E( 4, -1) → E' ( 4 + 1, -1 - 1) → E'( 5, -2)
Evaluate: base 6 exponent 0
Answer:
1
Explanation:
Given:
[tex]6^0[/tex]To evaluate the expression above, apply the law of indices below.
[tex]a^0=1,a\neq0[/tex]That is, whenever a number (except 0) is raised to the power of 0, the result is always 1.
Therefore:
[tex]6^0=1[/tex]Maria expandió el siguiente cuadrado (x+3)^2=x^2 Está correcta la forma que usò?
No, the form that Maria expanded is not correct.
What does it mean to "extend and simplify"?
We must multiply out the brackets in order to expand and simplify an expression, and we must then collect like words in order to simplify the resulting expression. We take out brackets by expanding them, often known as multiplying out.
Given:
(x+3)²
= x² + 2 . 3 . x + 3²
= x² + 6x + 9
Therefore the correct expansion is x² + 6x + 9.
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Question:
Maria expanded the following square (x+3)^2=x^2 Is the form she used correct?
4 thousands +12 hundreds =
Answer:
that's too easy
4 thousands=4000
12 hundreds=120
4000+120=4120
4 thousands and 12 hundreds
Ainsley had 3 yards of string. She used 1/4 yard for a project. She wants to divide the rest into pieces 5/6 yard long. How many pieces can she make?
She can make 3.3 pieces from the remaining length
How to determine the number of pieces to make?From the question, the given parameters are:
Length of string = 3 yardsAmount used for project = 1/4 yardLength of each piece = 5/6 yardWe start by calculating the length of the remaining pieces as a whole
This is calculated as
Length of remaining piece + length used for project = Length of string
Substitute the known values in the above equation
So, we have
Length of remaining piece + 1/4 yard = 3 yards
Subtract 1/4 from both sides
Length of remaining piece = 2.75 yards
The number of pieces is then calculated as
Pieces = Length of remaining pieces/Length of each piece
This gives
Pieces = 2.75 yards/(5/6 yards)
Evaluate the quotient
Pieces = 3.3
Hence, the number of pieces she can make is 3.3
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what is the shape of a cross section that is perpendicular to the basis
If we get the cross section perpendicular to the base of this image, we would get the same shape as the image.
Through the diagram, we can see that if we cut the image to get the cross section perpendicular to its base, we would get the same shape as the image, which is a pentagon.