Any number with the 6 on the fourth place value, for example:
Which number has a 6 whose value is 10 times greater?
Each place value (which are counted from the right side) adds a factor of 10 to the previous place value.
This means that the 1 in 10, is 10 times the 1 in 1.
The 1 in 100, is 10 times the 1 in 10.
Then if we want to find a number where the 6 is 10 times greater than the value of the 6 in 237,629, we only need to move the 6 one time to the left.
We will have:
236,329
(any number with the 6 on the fourth place value).
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Find the area of a triangle with a height of 38 and one side of 44
In triangle it is given that,
→ Height (h) = 38 cm
→ Base (b) = 44 cm
The formula we use,
→ Area of triangle = ½ × b × h
Now we have to,
find the area of the triangle,
→ ½ × b × h
→ ½ × 44 × 38
→ (44 × 38)/2
→ 1672/2 = 836 cm²
So, 836 cm² is area of triangle.
5 of 205 of 20 Items
49:15
Question
Find the lateral surface area of the triangular prism.
Responses
A 996 cm2
996 cm 2
B 884 cm2
884 cm 2
C 1,176 cm2
1,176 cm 2
D 1,084 cm2
Answer:
Sorry, I cannot answer this question without additional information such as the dimensions of the triangular prism.
Step-by-step explanation:
2.25 divided by 5.58
Answer:
0.4032258
Step-by-step explanation:
Maria earns $2,000 a month, plus 3% commission on everything she sells. 2
Her sales totaled x dollars this month. Which amount represents the
amount of money Maria earns this month?
Answer:
2,000 + 0.03x
Step-by-step explanation:
Using the segment addition postulate, which is true?
A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.
AB + BC = AD
AB + BC = CD
BC + CD = AD
BC + CD = BD
Answer:
it is AB+bc to the nearest 100
Step-by-step explanation:
it is divided by 2
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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whats equivalent to 5(3x+4-x)
Answer:
10x+20
Step-by-step explanation:
Using the distributive property, you can write
15x+20-5x
Then it simplifies to 10x+20.
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Determine whether the relationship is a function. Complete the explanation.
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Answer:
the relationship is not a function
Step-by-step explanation:
it's not a function because two of the domains are the same.
The relationship represented by these ordered pairs is not a function.
We have,
To determine whether the relationship is a function, we need to check if each input (x-value) is associated with exactly one output (y-value).
If there is any x-value that is associated with multiple y-values, then the relationship is not a function.
Let's analyze the given set of ordered pairs:
(0, 4), (8, 8), (3, 2), (9, 1), (8, 7)
Here, we can see that the x-value 8 is associated with both y-values 8 and 7.
Therefore, the relationship is not a function because one input (x-value) is mapped to multiple outputs (y-values).
In a function, each input must have a unique output, but in this case, the x-value 8 is associated with both 8 and 7 as the corresponding y-values.
Thus,
The relationship represented by these ordered pairs is not a function.
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Ellen drove 357.3 miles. For each gallon of gas, the car can travel 21 miles. Select a reasonable estimate of the number of gallons of gas Ellen used. Mark all that apply.
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Guillermo can drive 180 miles in 3 hours. Which equation
represents the number of miles that Guillermo can drive in "h"
hours?
Answer and Step-by-step explanation:
The equation would be y = 60h
Divide 180 by 3, and you get 60. This is the amount of miles that can be driven in an hour.
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javier buys 3 postcards during each day of vacation. how many days will javier have to spend on vacation before he will have bought a total of 18 postcards?
Find the equation of the parabola with the following properties. Express your answer in standard form.
Symmetric with respect to the line y = 2
Directrix is the line x = 11
P = -3
The equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1
What is the equation of the parabola?To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.
Alternatively, we can use PF = PM to find the equation of the parabola.
vertex is half way between the focus and directrix
It's a downward opening parabola, general form
y= a(x-h)^2 + k
where (h,k) = vertex= (-3,-1)
plug in another point on the parabola to solve for a which gives
am answer with either x coefficient = -1'/4 or =4 Check the math.
one or the other is right another point is the y intercept = 9a-1
Another point is directly to the right of the focus (-1, -2) It's 2 down from the directrix and 2 to the right of the focus, equidistant. plug that point into y= a(x+3)^2 -1 and solve for "a"
-2 = a((-1+3)^2 -1
-2 = 4a -1
4a = -
a = -1/4
The parabola is y = (-1/4)(x+3)^2 -1
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The variance in drug weights is critical in the pharmaceutical industry. For a specific drug, with weights measured in grams, a sample of 18 units provided a sample variance of 0.36. a. Construct a 90% confidence interval estimate of the population variance for the weight of this drug. Show your work. b. Construct a 90% confidence interval estimate of the population standard deviation.
Answer:
a) 0.2218 to 0.7057
b) 0.4710 to 0.8401
Step-by-step explanation:
Given:
sample = n = 18
sample variance = s² = 0.36
To find:
a) 90% confidence interval estimate of the population variance.
b) 90% confidence interval estimate of the population standard deviation.
a)
Compute degree of freedom
degree of freedom = df = n - 1 = 18 - 1 = 17
Compute value of α for a 90% confidence interval
The confidence level for 90% is:
c = 0.90
So
α = 1 - c = 1 - 0.90 = 0.1
α = 0.1
Now use the table of critical values of the chi-square distribution in order to find critical values. Search for the 17th row of table using df = 17 and find the column corresponding to 1 - α/2 i.e. 0.95 of table for upper tail critical values and column corresponding to α /2 i.e. 0.05 of table for lower tail critical values.
Using the table:
\(X^{2}_{0.95}\) = 8.672
\(X^{2}_{0.05}\) = 27.587
90% Confidence interval estimate of the population variance
The boundaries of CI are computed using formula:
(n−1) s² / \(X^{2}_{\alpha/2}\) ≤ σ² ≤ (n−1) s² / \(X^{2}_{1-\alpha/2}\)
(n−1) s² / \(X^{2}_{\alpha/2}\) = (18-1) 0.36 / 27.587
= (17) 0.36 / 27.587
= 6.12 / 27.587
(n−1) s² / \(X^{2}_{\alpha/2}\) = 0.2218
(n−1) s² / \(X^{2}_{1-\alpha/2}\) = (18-1) 0.36 / 8.672
= (17) 0.36 / 8.672
= 6.12 / 8.672
= 0.7057
This results in inequalities 0.2218 ≤ σ² ≤ 0.7057 for the variance
b)
90% Confidence interval estimate of the population standard deviation
The boundaries of CI are computed using formula:
√(n−1) s² / \(X^{2}_{\alpha/2}\) ≤ σ ≤ √(n−1) s² / \(X^{2}_{1-\alpha/2}\)
√(n−1) s² / \(X^{2}_{\alpha/2}\) = √((18-1) 0.36 / 27.587)
= √((17) 0.36 / 27.587)
= √(6.12 / 27.587)
= √0.2218
= 0.4709
= 0.4710
√(n−1) s² / \(X^{2}_{1-\alpha/2}\) = √((18-1) 0.36 / 8.672)
= √((17) 0.36 / 8.672)
= √ (6.12 / 8.672)
= √0.7057
= 0.8401
0.4710 ≤ σ ≤ 0.8401 for the standard deviation.
Sweatshirts at the discount store are on sale for 30% off the original price. If a sweatshirt
costs $30:
A) What is the discount?
B) What is the new price of the sweatshirt?
(Show your work)
5x +y=8
2x +y = 32
how do i solve this using the system of elimination? (only using + and -) helppp
What is the mode???? Thank you math experts I will mark brainliest
Answer:
median: 51
mode: 51
Explanation:
given:
43, 55, 51, 62, 64, 38, 35, 45, 51
arrange them in increasing order:
35, 38, 43, 45, 51, 51, 55, 62, 64
now find median, the number which is at the middle:
51 is the median
now find the mode, the number which appears most times:
51 is the mode
Answer:
C
Step-by-step explanation:
I also see median right there which that would also be C(51)
The mode is C(51) because the mode is the number that appears the most and as you see 51 appears 2 while no other number appears twice.
Hope this helps have a great day:)
Which expression is equivalent to 2(x -1)+x
A. 3x-1
B. 3x-2
C. 2x
D. 2x-1
Solve ASAP point theif = BAN!
\(\huge\text{Hey there!}\)
\(\huge\textbf{Question reads....}\)
\(\large\text{Which expression is equivalent to 2(x - 1) + x?}\)
\(\huge\textbf{Step by step to find your result}\)
\(\large\textbf{First you have to DISTRIBUTE 2 WITHIN the}\\\large\textbf{PARENTHESES}\)
\(\large\text{2(x - 1) + x}\\\rightarrow\large\text{2(x) + 2(-1) + x}\\\rightarrow\large\text{2x - 2 + x}\\\rightarrow\large\text{2x - 2 + 1x}\\\rightarrow\large\textbf{COMBINE the LIKE TERMS}\leftarrow\\\rightarrow\large\text{(2x + 1x) - (2)}\\\rightarrow\large\text{3x - 2}\)
\(\huge\textbf{FINALLY WE HAVE YOUR RESULT}\)
\(\huge\boxed{\textsf{Therefore, your answer is: }}}\\\huge\boxed{\mathsf{Option\ B. \ 3x - 2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy }\\\huge\text{your day!}\)
~\(\frak{Amphitrite1040:)}\)Answer:
Option BStep-by-step explanation:
First, let's simplify the given expression.
=> 2(x - 1) + x=> 2x - 2 + x=> (2x + x) - 2=> 3x - 2Looking at all the options, we can say that Option B is correct.
whats 2+2 will offer nothing
Answer:
4
Step-by-step explanation:
HELP PLEASE INSTANT
Answer: number 3
Step-by-step explanation:
what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .
Consider the matrices.
What of the operations listed are defined for these matrices?
Select all that apply.
C-B
E-A
A+E
A+C
D-E
B+D
The operations E-A, A+E and B+D are defined for the matrices.
How to determine if the operations listed are defined for the matrices?A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.
The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.
Matrices can only be added or subtracted only when they have the same dimensions, i.e. the same number of rows and the same number of columns. When adding or subtracting matrices, the corresponding elements of the matrices are added or subtracted.
Matrices A and E have the same dimensions i.e. They have 4 rows and 2 columns each.
Thus, the operations E-A (subtraction) and A+E (addition) are defined for the matrices.
Also, matrices B and D have the same dimensions i.e. They have 2 rows and 2 columns each.
Thus, the operations B+D (addition) is defined for the matrices.
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There are three consecutive odd integers.Three times the largest is seven times the smallest. What are the integers?
The three consecutive odd intergers are 3,5 and 7
What do you mean by algebraic expression ?
An algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here.
An algebraic expression can be a combination of variables and constants. Any multiplied value that is prefixed to a variable is a factor.
Let the three consecutive odd integers are x, x+2 and x+ 4
Here x is the smallest odd integer and x+4 is the largest odd integer
According to the question:
3(x +4) = 7x
3x + 12 = 7x
7x - 3x = 12
4x = 12
x = 12/4
x = 3
Three consecutive odd integers become:
x = 3
x + 2 = 3 +2 = 5
x + 4 = 3 + 4 = 7
Hence, the three consecutive odd intergers are 3,5 and 7
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In the space provided, describe the similarities and differences between the seasonal changes of the oak tree in Florida and the oak tree in Maine make it Conclusions
subje
As a result of climatic peculiarities the seasonal changes of oak tree in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.
What are the seasonal changes of the oak tree in Florida and the oak tree in Maine?We know that many oaks are native to Florida and some of the Florida oaks include;
Shumard oakWillow oakSouthern live oak.Northern red oaks can also be found in northern Florida. Some other oak trees in Florida include;
Black oakBluff oakChapman oakChinkapin oakLaurel oak.From the information above, we can conclude that as a result of climatic peculiarities the seasonal changes of oak in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.
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Are your finances, buying habits, medical records and phonecalls really private? A real concern for many adults is thatcomputers and the Internet are reducing privacy. A survey conductedby Peter D Hart Research Associates for the Shell Poll was reportedin USA Today. According to the survey, 37% of adults are concernedthat employers are monitoring phone calls. Use the binomialdistribution formula to calculate the probability that:
a. out of 5 adults, none is concerned that employers aremonitoring phone calls.
b. out of 5 adults, all are concerned that employers aremonitoring phone calls.
c. out of 5 adults, exactly 3 are concerned that employers aremonitoring phone calls.
As per binomial distribution the probability of the following conditions are as follow:
a. probability for out of 5 none is concerned is 0.09924.
b. probability for out of 5 all are concerned is 0.02825
c. probability for out of 5 three are concerned is 0.4669.
As given in the question,
Percent of adults are concerned = 37%
p = 0.37
Percent of adults are not concerned = (100 -37)%
= 63%
1 - p = 0.63
Total number of adults 'n' = 5
Probability using binomial distribution
= ⁿCₓ pˣ ( 1- p)ⁿ⁻ˣ
a. Out of 5 none is concerned
here x = 0
⁵C₀( 0.37)⁰(0.63)⁵⁻⁰
= 0.09924
b. Out of 5 all are concerned
here x = 5
⁵C₅( 0.37)⁵(0.63)⁵⁻⁵
= 0.02825
c. Out of 5 three are concerned
here x = 3
⁵C₃( 0.37)³(0.63)⁵⁻³
= 0.4669
Therefore , using binomial distribution the probability of the given percent of adult data is equal to as follow:
a. probability for out of 5 none is concerned is 0.09924.
b. probability for out of 5 all are concerned is 0.02825
c. probability for out of 5 three are concerned is 0.4669.
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Write the letter of the definition next to the matching word as you work through the
lesson.
Altitude is in a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.
What is Hypotenuse?In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle. It is also the side that connects the two other sides, which are called the adjacent and opposite sides.
According to question:Altitude: In a polygon, a perpendicular segment from a vertex to the opposite side or to the line containing the opposite side.Geometric mean: for two positive numbers, a and b, the positive number x that satisfies a/x = x/b.Hypotenuse: The side of a right triangle that is opposite the right angle and is always the longest side of the triangle.Leg: In a right triangle, either of the two sides forming the right angle.One of the key properties of the geometric mean is that it is always less than or equal to the arithmetic mean (the regular average) of the same set of numbers, except when all the numbers are equal.
The geometric mean is used in various fields such as finance, economics, biology, and physics. It is particularly useful in situations where values are subject to compounding or exponential growth, and where small changes in values can have a significant impact over time.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
On opening day at Darien Lake, Kelly pays $40 for admission to the park. She wants to play
the games in the midway. Each game cost $1.50 to play. Write an expression to represent
Kelly's total cost at the park if she plays "g" games.
Answer: it would be like this $40+1.50g=t
Step-by-step explanation:
Using the information in the Box-and-Whisker plot below, what is the 2nd Quartile?
A. 5
B. 12.5
C. 20
D. 27.5
The answer would be (C) 20.
Answer:
The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.
In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.
Option B, 12.5, is the correct answer.
Step-by-step explanation:
Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?
Answer:
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1
Step-by-step explanation:
Let the cost
Dozen of egg = x
Wheel of cheese = y
Pound of potato = z
We will form linear equations using the information given in the question
Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes
3x + y + 5z = 38.25 ................(1)
Barry bought 1 dozen eggs and 10 pounds of potatoes
x + 10z = 36.50 ............(2)
Charles purchased 2 dozen eggs and 2 pounds of potatoes
2x + 2z = 17.20 .................(3)
solving 2 and 3
x = $5.5 and z = $3.1
substitute these values in equation 1
we get
y = $6.25
The cost
Dozen eggs = $5.5
Wheel of cheese = $6.25
Pound of potatoes = $3.1