Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?
A.
Line JK and line LM will be parallel.
B.
Line JK and line LM will be perpendicular.
C.
The slope of line JK will be the same as the slope of line EF.
D.
The slope of line LM will be the negative reciprocal of the slope of line GH.
Answers
Answer:
A.
Step-by-step explanation:
I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.
EF: (-9,1) (-4,9)
[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
GH: (-5,-2) (0,6)
[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
Same slope and different y-intercept means the lines a parallel
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Tanner bought 7 pieces of bubble gum for 56¢. Write
and solve an equation to find g, the cost of one piece of bubble gum
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Answer: 8 = g
Step-by-step explanation:
56 divided by 7 = g
8 = g
7. Ln(x)=y (log(x)) what is y? show your work.
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Suppose you need 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m to tow a car How would you calculate theme of this much chain
Answers
The mass of the tow chain will be equal to 12.96 kg.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 6.0m of Grade 70 bow chain, which has a diameter of 3/8" and weighs 2.16 kg/m.
The mass of 1 m chain = 2.16 kg
Mass of 6-meter chain = 2.16 x 6
Mass of 6-meter chain = 12.96 kg
Therefore, the mass of the tow chain will be equal to 12.96 kg.
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Solve the inequality and express your answer in interval notation. x^2+10x+6 <0
Answers
The interval where the function is negative is:
(-5 - √19 , -5 + √19)
That is the solution set of the inequality.
How to solve the inequality?Here we have the following inequality:
x^2 + 10x + 5 < 0
So we want to find the values of x for which the quadratic function is negative.
To do so, we can solve:
x^2 + 10x + 5 = 0
The solutions are given by the quadratic formula:
x = (-10 ± √(10^2 - 4*6))/(2*1)
x = (-5 ± √19)
notice that the quadratic has positive leading coefficient, so it open upwards, then the function is below zero between the two roots, on the interval:
-5 - √19 < x < -5 + √19
Then the correct option is D.
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What is a sticker price of higher education
Answers
Sticker price refers to the published tuition and fees, whereas net price refers to the amount the student actually pays after financial help which is much lower than the sticker price.
Sticker priceThe sticker price of a college education is the entire annual cost. This cost covers the whole cost of tuition every year, books, lodging, and board, as well as any other charges the campus may levy, such as a parking permit or library card fee.
In this report, there are two prices listed: a sticker price and a net price. The sticker price of a college education is the entire annual cost. Every year's full tuition, books, housing, and board are included in this amount.
Hence sticker price refers to the published tuition and fees
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Write each binary number as a base-ten number. 111110
Answers
Hope this helps
For each function, find the vertex, the axis of symmetry, the y-intercept, the x- intercepts (if any), whether the parabola opens upward or downward, the intervals on which the function is increasing or decreasing, the maximum or minimum value, and the range. Then sketch the graph. y = -2(x + 3)² + 8
Answers
Given parabola [tex]y=-2(x+3)^{2} +8[/tex] have vertex (-3,8)
axis of symmetry :x=-3
x intercepts (-1,0),(5,0)
y intercepts (0,-10)
Maximum value (-3,8)
Range is y[tex]\leq 8[/tex] or (-∞,8]
Parabola is increasing in (-∞,-3) and decreasing in (-3,∞)
How to identify parabola type from vertex form and its attributes?
The parabola equation y=ax²+bx+c
The parabola equation in its vertex form is
y = a(x - h)² + k, where
a is same as the a coefficient in the standard form;
(h, k) is coordinates of the vertex of parabola
h and k can be calculated as
h = - b/(2a)
k = c - b²/(4a)
If a is negative the parabola opens downward and if a is positive the the parabola opens upward
Axis of symmetry : x= h
For a parabola y=ax²+bx+c if a<0 then the range is y [tex]\leq k[/tex] and if a>0 then range is y[tex]\geq k[/tex]
For Maximum and minimum value , if a<0 then vertex is the maximum value and if a>0 then vertex is the minimum value.
For given equation [tex]y=-2(x+3)^{2} +8[/tex]
As this equation is in vertex form
h=-3, a=-2, k=8
Therefore, vertex = (-3,8)
For x intercept put y=0
Then [tex]y=-2(x+3)^{2} +8\\y\\=-2x^{2} -12x-10\\y=0\\\\x=-1,-5\\put x=0 \\y= -10[/tex]x intercepts (-1,0),(5,0)
y intercepts (0,-10)
Axis of symmetry : x= -3
[tex]y=-2(x+3)^{2} +8\\y=-2x^{2} -12x-10[/tex]
As a is negative therefore range is y[tex]\leq 8[/tex] or (-∞,8]
As a is negative therefore vertex (-3,8) is the maximum value
f'(x)= -4x-12
f'(x)=0 gives x= -3
f'(x)>0 in (-∞,-3), parabola is increasing in (-∞,-3)
f'(x)<0 in (-3,∞), parabola is decreasing in (-3,∞)
Please find the graph attached.
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Find the area of the polygon with the given vertices.
K(-3, 4), L(1, 4), M(-4,-2), N(0, - 2)
Answers
Answer: 24.33 units
Step-by-step explanation: If we appropriately measure the distance between the points we can depict a parallelogram with 2 sides measuring 6.083 units and 2 others measuring 4 units. We multiply 4 x 6.083 and get the area: 24.33 units
Answer: 24
Step-by-step explanation: As the formula to solve this equation is A= 1/2 | [(x1y2) - (x2y1)] + [(x2y3) - (x3y2)] + [(x3y4) - (x4y3)] + [(x4y1) - (x1y4)]
Which would be (with the numbers)
[(-3 x 4) - 1 x 4)] + [(1 x -2) - (0 x 4)] + [(10 x 2) - (-4 x -2)] + [(-4 x 4) - (-3 x -2)]
which lowers down too
(-12 - 4) + (-2 - 0) + (0 - -8) + (-16 - 6)
Then that gets us (absolute values) of
|-16| + |-2| + |8| + |-22|
using absolute values that gets us to
16 + 2 + 8 + 22
Which is equal to 48.
Don't forget to divide by 2 because we need half of it as it says in the beginning of the formula (A = 1/2)
So that gives us the answer of 24.
Hope this helped :)
Also, this could help by labeling each coordinate as a (X, Y) Number
[-3(x1) , 4(y1)} (you could write the x and y part above it)
And then you go down the list and label each as either x1 , x2 , x3 , x4 (for the left side of comma) and then y1 , y2, y3 , y4 (for the right side of the comma)
Solve for x.
A=x+y-2
Answers
Answer:
x=1
Step-by-step explanation:
6. Reggie went to the grocery
store and purchased several
items. The cereal he bought cost
$2.10, which was twice as much as
the eggs. What was the price of the
eggs?
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eggs = $2.10 divided by 2
2.10/2=1.05
price of eggs = $1.05
How many bacteria are in the Petri dish after 120 minutes ?
Answers
Answer:
D. [tex]2^9[/tex]
Step-by-step explanation:
[tex]2^6*2^3 = 2^9[/tex]
We can just add the exponents together.
If it were continued another 120 minutes past this, it would be
[tex]2^9*2^3 = 2^1^2[/tex]
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A--->A'=(-2,6)
B--->B'=(7,3)
In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. What is the geometric mean annual increase for the period?
Answers
33.7618% is the geometric mean annual increase for the period
Rate of Increase Over Time(GM)=[tex]\sqrt[n]{value end period / value start period }[/tex] -1
In 1985, there were 326,030 cell phone subscribers in the United States. By 2008, the number of cell phone subscribers increased to 262,359,000. we have to find the geometric mean annual increase for the period
from 1885 to 2008 that is (2008- 1885=23 ) in 23 years the GM become
therefore n= 23
value of start period = 326030
value of end period = 262359000
rate of increase over time GM= [tex]\sqrt[23]{262359000/326030} -1[/tex]
= 1.337618 -1
=0.337618
rate of increase is 33.7618% per year
33.7618% is the geometric mean annual increase for the period
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For a body falling freely from rest (disregarding air resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from the top of a tower 192 feet high and hits the ground in 8 seconds, how far did it fall in the first 4 seconds?
Answers
The distance covered by the falling freely body from rest will be 48 feet.
What is kinematics?The study of motion without considering the mass and the cause of the motion.
When a body falls freely from rest, the distance it travels straight changes as the square of the time (air resistance excluded). If something is dropped 192 feet from the summit of a tower, it lands on the ground in 8 seconds.
We know that the acceleration is due to gravity (g = 32 ft/s²).
d ∝ t²
d/t² = constant
Then the distance covered by the falling freely body from rest will be given as,
d / 4² = 192 / 8²
d / 16 = 192 / 64
d = 16 x 192 / 64
d = 48 feet
The distance covered by the falling freely body from rest will be 48 feet.
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need help asap please
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Answer:
3/30 for 66 lo siento I core help you
Sand will be placed under the base of a circular pool with a diameter of 14 feet. 1 bag of sand covers about 3 square feet. How many bags of sand are needed? Use 3.14 for pi. Round bags up.
Answers
Number of bags of sand needed to cover the area of circular pool is 51 bags.
What is a circle?A circle is a round-shaped figure that has no corners or edges.
Now it is given that,
Diameter of pool, D = 14 feet
So, Area of pool = π(D/2)²
⇒ Area of pool = π(14/2)²
⇒ Area of pool = π(7)²
⇒ Area of pool = 153.86 square feet
Now given Area of 1 bag = 3 square feet
So, number of bags required = Area of pool / Area of 1 bag
⇒ number of bags required = 153.86/ 3
⇒ number of bags required = 51.28
⇒ number of bags required ≈ 51
Thus, Number of bags of sand needed to cover the area of circular pool is 51 bags.
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Michael is grocey shopping. Before adding fruit to the bag, it weighed 5/9 pounds. Michael added 2/15 pounds of fruit to the bag. How much does it weigh now?
Answers
Answer:
31/45 lb
Step-by-step explanation:
You want to know the weight of a 5/9 lb bag after 2/15 lb of fruit are added to it.
Sum of fractionsFractions can be added when they have a common denominator. Here, the denominator will need to have factors of 3² = 9 and 3·5 = 15. It can be ...
3·3·9 = 45
Using this denominator, the fractions are ...
bag weight = 5/9 lb = 25/45 lb
fruit weight = 2/15 lb = 6/45 lb
The total weight of the fruit and the bag is ...
total weight = 25/45 lb + 6/45 lb = 31/45 lb
With the fruit, the bag weighs 31/45 pounds.
simplify (2^4)^-1. Answer options: 1 over 2^-4, 1 over 2^4, -2^4, and 2^3
Answers
[tex]\frac{1}{2^{4} }[/tex] is simple form of the equation.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Simply solve this equation = [tex](2^{4}) ^{-1}[/tex]
multiply the powers = [tex]2^{-4}[/tex]
now right on simple form = [tex]\frac{1}{2^{4} }[/tex]
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Given the function g(x)=11x^2+28x, solve for g(x)=−12.
Answers
Answer: -2, -6/11
Step-by-step explanation:
[tex]11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11[/tex]
a angle measures 10.8 more than the measure of its complementary angle what is the measure of each angle
Answers
Hope this helped :)
Solve for x.
x^2 = a
a>0
Answers
Answer:
x<0; x>0
Step-by-step explanation:
Basically, anything but zero, depending on what a is.
Answer:
x = ± [tex]\sqrt{a}[/tex]
Step-by-step explanation:
x² = a ( take square root of both sides )
x = ± [tex]\sqrt{a}[/tex]
-6(2x+4)+1/2(8+3x)=-20
Answers
isolate the variable by diving each side by factors that don’t contain the car
here is my work
How to find the slope of the line that passes through the points (−2,3) and (5,−7)
Answers
Answer:
[tex]\frac{-10}{7}[/tex]
Step-by-step explanation:
Use the formula
m= [tex]\frac{y2-y1}{x2-x1}[/tex]
another way to say this is Δy divided by Δx
Δ means "change in"
m = slope
The y2 value is -7
The y1 value is 3
The x2 value is 5
The x1 value is -2
Plug those values in the formula
m = [tex]\frac{(-7)-3}{5-(-2)}[/tex]
Simplify
m = [tex]\frac{-10}{7}[/tex]
The slope is [tex]\frac{-10}{7}[/tex]
Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water. If Ruby holds a 1-meter long net at 0.5 meter above sea level, What will be the answer?
Answers
It should be noted that Ruby will be able to reach the fish
What is sea level?It should be noted that sea level simply means the sea base level that is used for measuring the elevation and the depth on the Earth.
It should be noted that Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water and Ruby holds a 1-meter long net at 0.5 meter above sea level.
It should be noted that he will be able to each the fish. This will be illustrated as:
=1m - (0.4 + 0.5)
= 1 - 0.9
= 0.1m
Therefore, the long net is enough to reach the fish.
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Ruby looks over the edge of her boat and sees fish 0.4 meter below the surface of the water. If Ruby holds a 1-meter long net at 0.5 meter above sea level. Can she reach the fish?
Polygon B is a scaled copy of Polygon A using a scale factor of 5. Polygon A's area is what fraction of Polygon B's area?
Answers
Polygon A's area is 1/25 times of Polygon B's area.
What do you understand by polygon?In geometry, a polygon is a two-dimensional closed shape with straight sides that is flat or plane. It doesn't have any curved edges.
A polygon's sides are also known as its edges. The vertices (or corners) of a polygon are the points where two sides meet.Polygons are named after the number of sides they have. Polygons are commonly represented by the symbol n-gon, where n indicates the number of sides.A 5-sided polygon is called a 5-gon, a ten-sided polygon is called a 10-gon, and so on.Now, as per the given question;
The formula of the scale factor is given as;
Area of Polygon B = (scale factor)²×(Area of Polygon A).
The scale factor is given as 5.
(Area of Polygon B) = (5)²×(Area of Polygon A)
Further simplifying;
(Area of Polygon B) = (25)×(Area of Polygon A)
or,
Area of Polygon A = (1/25)×Area of Polygon B
Therefore, the area of polygon A is found to be 1/25 times times the area of the polygon B.
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Someone can help me please
Answers
4-3i^2
Step-by-step explanation:
(2-3i)(2-3i)
4-6i-6i+3i^2
3i^2-12i+4
The mean of the commute time to work for a resident of Boston is 27.1 minutes. Assume that the standard deviation of the commute time is 8.3 minutes.
a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of themean?
b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?
c) What are the commute times within 1.4 standard deviation?
Answers
a) The minimum 75% of commuters in Boston has a commute time within 2 standard deviation of the mean.
b) The minimum 60.93% of commuters in Boston has a commute time within 1.6 standard deviation of the mean.
c) Commute times within 1.4 standard deviation are lie between 15.48 to 38.72.
Explanation:
Given that
The mean of the commute time to work for a resident of Boston is 27.1 minutes.the standard deviation of the commute time is 8.3 minutes.To find
a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?c) What are the commute times within 1.4 standard deviation?So, according to the question
We know that
The minimum percentage within k standard deviations of the mean,= (1- [tex]\frac{1}{k^2}[/tex] )×100
a) What is the minimum percentage of commuters in Boston has a commute time within 2 standard deviation of the mean?
The minimum percentage within 2 standard deviations of the mean,= (1- [tex]\frac{1}{2^2}[/tex] )×100
= (1- [tex]\frac{1}{4}[/tex] )×100
= ( [tex]\frac{4-1}{4}[/tex] )×100
= [tex]\frac{3}{4}[/tex] ×100
= 3 × 25
= 75%
b) What minimum percentage of commuters in Boston has a commute time within 1.6 standard deviation of the mean?
The minimum percentage within 1.6 standard deviations of the mean,= (1- [tex]\frac{1}{1.6^2}[/tex] )×100
= (1- [tex]\frac{1}{2.56}[/tex] )×100
= ( [tex]\frac{2.56-1}{2.56}[/tex] )×100
= [tex]\frac{1.56}{2.56}[/tex] ×100
= 1.56 × 39.06
= 60.93%
c) What are the commute times within 1.4 standard deviation?
Within 1.4 standard deviations,commute times = 27.1 ± (1.4×8.3)
= 27.1 ± 11.62
for + sign,
= 27.1 + 11.62
= 38.72
for - sign,
= 27.1 - 11.62
= 15.48
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Solve the following compound inequality. Graph the solution.
5x2-30 and 5x ≤ 15
What is the solution? Select the correct answer below and, if necessary, fill in the answer boxes within your choice.
OA. xs
OB. xs
OC. x2
OD. SXS (Type integers or decimals.)
E. The compound inequality has no solution.
OF. The solution is all real numbers.
XXXB
or x2 (Type integers or decimals.)
(Type an integer or a decimal.)
(Type an integer or a decimal.)
Answers
The solution to the inequality is x ≤ 3
How to solve the compound inequality and graph the solution?The compound inequality is given as:
5x ≤ -30 and 5x ≤ 15
Divide both sides of the individual inequality in the compound inequality by the coefficient of the variable x
So, we have
x ≤ -6 and x ≤ 3
One of the above inequalities can be true
x ≤ 3 is a proper set of x ≤ -6
So, the solution to the inequality is x ≤ 3
See attachment for the graph of the inequality
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Based on the table below, evaluate f(2)
Answers
From the given table, we can see that the value of f(2) is 4
Input and output values in a tableThe input values in a function table are the dependent variables while the output values in a function table are the dependent variables.
Let the function of the table be represented as y = f(x), this shows that the variable x is independent while f(x) is dependent.
In order to determine the value of f(2), we need the output value, when the input value is 2. From the given table, we can see that the value of f(2) is 4
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