A) A translation takes a line to a parallel line or itself.
Answer: A) A translation takes a line to a parallel line or itself.
Step-by-step explanation:
A hiker first hiked down into a canyon 1,345 feet below sea level. She then hiked 950 feet up the side of a mountain. What was the final altitude of the hiker?
The final altitude of the hiker 395 feet.
How to compute the value?From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.
This will be:
= -1345 + 950
= 395
Therefore, the final altitude of the hiker 395 feet.
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3 Kayla works at a bookstore. One of her jobs is to take books that arrive and place
them on bookshelves in the store. She has four shelves for a shipment of 1 4/5 boxes
of a new novel. Will Kayla be able to stock all the books if each shelf can hold 2/5
box of books?
Mr.chong has some money to buy tins of paint. if he buys 18 tins of paint. he will need another $80. if he buys 10 tins of paint, he will have $32 left.
Amount of one tin of paint is $14 and the total amount Mr. Chong have is $172.
Let amount of one tin of paint = x
Let the total amount Mr. Chong having = y
On buying 18 tins of paint, he will need another $80. This can we mathematically represented as,
18x = y + 80
On rearranging this equation can be written as,
18x - y = 80 equation 1
On buying 10 tins of paint, he will will have $32 left. This can we mathematically represented as,
10x = y - 32
On rearranging this equation can be written as,
-10x + y = 32 equation 2
On adding equation 1 and equation 2, we get
18x - y -10x + y = 80 + 32
8x = 112
x = (112/8) = 14
On substituting x = 14 in equation 2 , we get
-140 + y = 32
y = 172
So, amount of one tin of paint is $14 and the total amount Mr. Chong have is $172.
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In a class, there are thirty-six students going on a field trip. One sixth
are bringing a lunch from home. How many are bringing their lunch
from home?
Find the coordinates of the mid point if the end points are (2,-6) (-8,5)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 +2}{2}~~~ ,~~~ \cfrac{ 5 -6}{2} \right) \implies \left(\cfrac{ -6 }{2}~~~ ,~~~ \cfrac{ -1 }{2} \right)\implies \left(-3~~,~~-\cfrac{1}{2} \right)[/tex]
A+company+packed+8+dark+chocolates+in+a+box+of+32+assorted+chocolates.+which+of+these+does+not+represent+inferential+statistics?+a.)+25%+of+the+chocol
Answer:
it is 3
Step-by-step explanation:
beacuse i did it
6-6x=7x-9x-18 the value of x
Answer:
X = 6
Step-by-step explanation:
6-6X = 7X -9X -18 Combine 7x -9x
6 - 6x = -2x -18 Add 6x to both sides of the equation
6 = 4x - 18 Add 18 to both sides of the equation
24 = 4x Divide both sides by 4
6 = x
Check:
6-6X = 7X -9X -18
6 - 6(6) = 7(6) -9(6) -18
6 - 36 = 42 - 54 -18
-30 = 1-12-18
-30 =-30
While on vacation, norma and her family visit mount rushmore in south dakota. they watch a movie in the visitor center for 1 3 of an hour. this accounts for 1 6 of the total time they spend at mount rushmore. which equation can you use to find the total amount of time t norma's family spends at mount rushmore?
Norma's family spends 120 mins at Mount Rushmore
The question is based on the concept of linear equations where 1/3 of an hour spent watching a movie equals 1/6 of the total time spent at Mount Rushmore by Norma and her family.
The time they watched the movie = 1/3 of an hour
Time spent at Mount Rushmore = 1/6 of the whole time
The equations will be as follows:
1/3 of an hour = 1/6 of the whole time
20 mins = 1/6 of the whole time
120 mins = The time they spent at Mount Rushmore
So, Norma's family spends 120 mins at Mount Rushmore
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Factor.
1. 9a²-18a
2. 16a³b³ +32a¹b
3. x2+x^ + xử
4. 3x5 + 4x4 - 5x²
5. 2x³-X
Please Help
The below mentioned are the factors of given equations
Factorization:
In mathematics, factorization or factoring is the method of expressing a quantity or another numerical component as a product of many factors, typically small or easier components of the same kind.
In the case of integers, ancient Greek mathematicians were the first to consider factorization. They demonstrated the fundamental theorem of arithmetic, which states that any positive integer can be taken account into a prime number product , which cannot be factored into integers greater than 1. Furthermore, this factorization is unique until the order of the factors is changed.
1)[tex]9a^{2}-18a=9a(a-2)[/tex]
2)[tex]16a^{3}b^{3} +32ab=16ab((ab)^{2} +2)[/tex]
3) inappropriate question
4)[tex]3x^{5} +4x^{4} -5x^{2} =x^{2} (3x^{3} +4x^{2} -5)[/tex]
5)[tex]2x^{3} -x=2(x-1)(x+1)[/tex]
Therefore,The above mentioned are the factors of the given questions.
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(solve each system by graphing. Check your solution) questions 11 and 13
Answer: 10. (2,4) 11. (4,9) 13. (2,-2) 14. (1,2)
Step-by-step explanation:
Just plugged em into desmos & double checked
Answer: 11. (4,0) 13. (2,-2)
Step-by-step explanation:
11.
[tex]\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7[/tex]
x | 0 | 4 |
y | 7 | 9 |
[tex]\displaystyle\\y=\frac{3}{2}x+3\\[/tex]
x | 0 | 2 |
y | 3 | 6 |
13.
[tex]\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4[/tex]
x | 0 | 4 |
y | -4 | 0 |
[tex]y=-x[/tex]
x | 0 | 4 |
y | 0 | -4 |
if 3^n is a factor of 100!, what is the largest possible value of n
The largest possible value of n is approximately equal to 331.
What is the largest possible value of the integer n behind a power equation?
In this problem we find a factorial number as the result of a power with a base of 3. First, we need to estimate the maximum possible value of n (as a real number) by using logarithm properties:
3ⁿ = 100!
3ⁿ = 1 · 2 · 3 · ... · 99 · 100
㏒₃ 3ⁿ = ㏒₃ (1 · 2 · 3 · ... · 99 · 100)
n · ㏒₃ 3 = ㏒₃ 1 + ㏒₃ 2 + ㏒₃ 3 + ... + ㏒₃ 99 + ㏒₃ 100
n ≈ 331.090
Second, find the maximum possible integer n related to 100! is found by truncating the result found in the previous section. Hence, the largest possible value of n is approximately equal to 331.
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For each chore Faith does, her mom gives her $5.50. The equation y=5.5x can be used to represnt this situation. What is the constant of proportioality? What does the constant of proportianality represent in the context of the probelm?
The constant of proportionality for y = 5.5x will be 5.5.
What is defined as the constant of proportionality?The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, rate constant, unit rate, continuous of variation, and even the rate of change.A directly proportional relationship relation is shown below.
y ∝ x
where
∝ = the proportionality symbol
The variables that are related are y and x. Therefore,
y = kx
where
k is the proportionality constant.
For each chore Faith does, her mom gives her $5.50, which is shown by;
Using y = kx, the equations y = 5.5x can be designed as a directly proportional relationship.
As a result, k = 5.5 has been the proportionality constant.
The proportionality constant for y = 5.5x is 5.5.
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f (x) = -4x² + 10x + 13
Find f(7)
Will give brainliest and 5 star rating. Thank you. :)
Answer:
f(7) = -113
Step-by-step explanation:
Hello!
Substitute 7 for x in the equation.
Evaluatef(x) = -4x² + 10x + 13f(7) = -4(7)² + 10(7) + 13f(7) = -4(49) + 70 + 13f(7) = -196 + 70 + 13f(7) = -113f(7) is -113.
A company is making building blocks. Each building block is a cube and has volume 64/ 125 cubed . How long is each side of the building blocks?
The length (in feet) of each side of the cube block is 1(one) ft.
What is a cube?
A cube is a three-dimensional solid object in the figure that's girdled by six square faces, angles, or sides, three of which meet at each vertex.One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges. The cube is also a right rhombohedron, a 3- zonohedron, a square parallelepiped, and an equilateral cuboid. In three exposures, it's a normal square prism, and in four, it's a trigonal trapezohedron.Volume of cube is given by,
V = [tex]L^3\ (length^3)[/tex]
[tex](1 ft)^3 = L^3[/tex]
L = 1ft.
Thus,
The length(in feet) of each side of the block is 1(one) ft.
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give the type of triangle that has these angles
27 degrees
63 degrees
91 degrees
two primary services of operating system
Answer:
Step-by-step explanation:
it provides services to both the user and the programs.
it provides program an environment to execute.
Answer:
manage the computer's resources, such as the central processing unit, memory, disk drives, and printersestablish a user interfaceexecute and provide services for applications software.Step-by-step explanation:Can someone please answer this. I need it today
-19 + 16 + (-42)
Answer:
-45
Step-by-step explanation:
math
-19 + 16 = -3
-3 + (-42) = -45
If 0.25 cm represents 5 feet on a blueprint, what is the actual length of a room that is 8.5 inches long?
In proportion , 13 ft is the actual length of a room.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
0.25 inches 8.5 inches
---------------- = --------------
5 ft x ft
Using cross products
0.25x = 8.5 * 5
Divide each side by 0.25
0.25x/0.25 = 8.5 * 5/0.25
x = 13
x = 13 ft
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what is 39/80 as a decimal
Answer:0.4875.
Step-by-step explanation:
Answer:
0.48750
explanation:
Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
Answer:
-2 < x < 1
Step-by-step explanation:
Given inequality:
[tex]1 < x+3 < 4[/tex]
[tex]\textsf{If $a < u < b$ \;then\; $a < u$ \;and \;$u < b$}:[/tex]
Case 1
[tex]\implies 1 < x+3[/tex]
[tex]\implies 1-3 < x+3-3[/tex]
[tex]\implies -2 < x[/tex]
[tex]\implies x > -2[/tex]
Case 2
[tex]\implies x+3 < 4[/tex]
[tex]\implies x+3-3 < 4-3[/tex]
[tex]\implies x < 1[/tex]
Combine the intervals:
[tex]-2 < x < 1[/tex]
Can you draw the shape and tell me the correct coordinate points?
Answer:
P(-3,6), Q(-6,3), R(0,3)
respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal rule and simpson's rule to a first-year student majoring in math? what do these rules solve? what are the error limits of each method? under what circumstances would you use one method instead of the other?
The differences between the trapezoidal rule and simpson's rule is -
The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.
What is trapezoidal rule?The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.
Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).
Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ixWhat is Simpson's method?Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form b∫ₐ f(x) dx.
Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.
Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.
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The picnic shelter must be at least overline 10 feet from any edge of the park. On graph paper with the distance between grid lines representing 10 feet, a city engineer makes a scale drawing of the park, as shown below. The region where the picnic shelter CANNOT be built is shown shaded. The corners of both the park and the region where the picnic shelter may be built are at the intersections of grid lines. The corners of the picnic shelter must also be at the intersections of grid lines. How many different locations in the park are possible for the placement of the picnic shelter?
Answer:
52
Step-by-step explanation:
since the shaded region is an exclusive counting the grid between 13*4 gives 52
We can see here that the number of locations in the park that are possible for the placement of the picnic shelter is C. 52
What is graph paper?Graph paper, also known as grid paper or coordinate paper, is a type of paper that has a grid of equally spaced horizontal and vertical lines drawn on it. The lines form a pattern of squares or rectangles, which facilitates drawing graphs, charts, diagrams, and geometric shapes with precision.
We can see here that multiplying the length and breadth of the picnic shelter using the unshaded boxes, we have:
13 × 4 = 52
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What is 7[2.5 + 3(12 - 7)] and can you please show me how to do it
Answer: 122.5
Step-by-step explanation:
First, you have to do the distributive property for all numbers. In order to do that, you must first combine like terms.
Combining like terms are numbers that are in the parenthesis that don't have an exponent, variable, etc. In this case, you would combine 12 and -7 since they are in the same parenthesis case. 12-7 would be 5. Now, you have 7[2.5] + 3(5)]
Next, you use PEMDAS which means multiplication (parenthesis) is next which means you multiply 3 and 5. 3x5 - 15.
After that, you combine like terms again with the 2.5 and the 15 since the 15 is now out of the parenthesis. 2.5 + 15 = 17.5
Finally, you take the 7 and multiply that by 17.5 now that you have those 2 numbers left and they are in the brackets. 17.5x7 is 122.5!
However, if there is a variable to solve for, then the answer would be none/no solution because both sides are not equal.
Marco's monthly budget is $3550. What is the total amount of money Marco spends monthly on his house payment?
Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) I'd say rational number. If p and q are integers, then -(p/a) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.
Given that p and q are integers,
then find out -(p/q) = (-p)/q = p/(-q)
with real world example.
First of all we have know about Integers
a whole number, a number that is not a fraction.
and secondly Rational numbers
A rational number is any number that can be expressed in the form p/q where 'q' is not equal to zero. The quotient of the rational number p/q is nothing but the result that we get when we divide 'p' by 'q'.
For real world contexts we put some value at the place of p and q.
let p=1
q=2
-(1/2) = (-1/2) =(1/-2)
by evaluate it we get ...
-1/2=-1/2=-1/2
Rules for Negative rational numbers
If the rational number takes the form -(p/q), then either p or q takes the negative value. It means that -(p/q) = (-p)/q = p/(-q).If numerator and denominator are of opposite signs.All are less than 0.Hence If p and q are integers, then -(p/a) = (-p)/q = p/(-q).
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how do you rewrite 4+(-7)
Answer:
-3
Step-by-step explanation:
4+(-7), In math you always have to do parentheses first. But, 4+(-7) equals -3 because -7 is bigger than 4. So it equals -3.
what is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (1 point) y − 5
y - 11 = -3 ( x + 2) is the equation in point-slope form of the line .
What is slope ?
The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").Given points : (0, 5) and (−2, 11)
Slope of the line passing through given points
[tex]m = \frac{y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{11 - 5}{-2 - 0} = \frac{6}{-3} = -3[/tex]
Thus, slope of line passing through given points m=-3
We know that the equation of a line passing through points ( x₀ , y₀) with slope 'm' is ( y - y₀ ) = m(x - x₀)
Thus, equation of a line passing through (−2, 11) with slope m=-3 will be
( y - 11 ) = -3 ( x - (-2))
y - 11 = -3 ( x + 2)
Hence, the equation of line is y - 11 = -3 ( x + 2).
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zoe walks from her house to a bus stop that is 460 yards away. as zoe's distance from her house increases from 50 yards to 210 yards, her distance from the bus stop varies from incorrect yards to 250 correct yards.
Adrianna's distance from her house increases from 60 yards to 180 yards, her distance from the bus stop varies from 340 yards to 220 yards.
What is the straightforward meaning of distance?
The distance or length between two objects, points, lines, etc. remoteness is the state or fact of something or someone being physically distant from another. A straight line in space It would take too long to walk seven miles in one hour.Adrianna walks from her house to a bus stop that is 400 yards away.
as Adrianna walks to the bus stop the distance between Adrianna and bus stop will b decreasing .
Further As Adrianna's distance from her house is 60 yards then she is 400 -60 = 340 yards away from bus stop
Also As Adrianna's distance from her house is 180 yards then she is 400 -180 = 220 yards away from bus stop .
As Adrianna's distance from her house increases from 60 yards to 180 yards, her distance from the bus stop varies from 340 yards to 220 yards.
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A bakery sells hot chocolate in small cups and large cups. The prices are shown on the sign.
Hot Chocolate Prices
Small.........
(8 fluid ounces)
Large.......
(12 fluid ounces)
$2.99 each
%
$3.99 each
The bakery sold 64 cups of hot chocolate today. The ratio of small cups to large cups sold today was 5 to 3.
What percentage of money earned from the hot chocolate sales today was from the sale of large cups? Round the ans
whole percentage. Enter the answer in the box.
The percentage of money earned from the sale of hot chocolate is 44%.
How much is earned from the sale of hot chocolate?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Number of large cups bought = (3/8) x 64 = 24
Number of small cups bought = (5/8) x 64 = 40
Total revenue from selling large cups = 24 x 3.99 = $95.76
Total revenue from selling small cups = 40 x 2.99 = $119.60
Total profit = $119.60 + $95.76 = 215.36
Percentage earned from the sale of large cups = (95.76 / 215.36) x 100 = 44%
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