Answer:
The correct answer is D: 6y = 42 - 2x
Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other.
If we transform 6y = 42 - 2x into its slope-intercept form, y = mx + b:
6y = 42 - 2x
6y = -2x + 42
Divide both sides by 6 to isolate y:
\(\frac{6y}{6} = \frac{-2x + 42}{6}\)
y = \(-\frac{1}{3}x + 7\)
Its slope, - 1/3 is the reciprocal of the given question's slope, 3.
Therefore, the correct answer is D, 6y = 42 - 2x
Find the probability.When using a single die, what is the probability of rolling a number less than or equal to 6?A) 6B) 5C) 5/6D) 1
It is given that a single die is used.
It is required to find the probability of rolling a number less than or equal to 6.
Recall that the probability of an event is given by the formula:
\(P=\frac{\text{ Number of favorable outcomes}}{\text{ Total number of possible outcomes}}\)The sample space of a single die is:
\(\lbrace1,2,3,4,5,6\rbrace\)Hence, the total number of possible outcomes is 6.
The numbers less than or equal to 6 are:
\(\lbrace1,2,3,4,5,6\rbrace\)Hence, the number of favorable outcomes is 6.
Substitute these values into the probability formula:
\(\Rightarrow P=\frac{6}{6}=1\)The answer is D.
What property justifies the statement? (7x3)+4=4+(7x3)?
what is the equation of the line in slope intercept form
Answer:
y=-3/2+1
Step-by-step explanation:
Solve the equation −14 + x = −19 for x.
Answer:
x = -5
Step-by-step explanation:
add 14 to both sides:
x = -19 + 14
x = -5
Hey can you help me fast I need to get this grade to a 90 by 12:00 I have an 83 rn.
Answer:
30/50
Step-by-step explanation:
because there is a y distance of 30 and x distance of 50 from point to point.
Ella brought 7 new Christmas cards to add to her card collection this year. the next day she mailed half of her entire collection to her elf family and friends. there are now only 21 cards left. how many cards did Ella start with?
Answer:
42
Step-by-step explanation:
the half of 42 is 21 so if she mailed the half of it then she just have 21 cards
reciprocal of a number
2/9......-7/6......8/3
Answer:
\( \frac{2}{9} = \frac{9}{2} \)
\( \frac{ - 7}{6} = \frac{ 6}{ - 7} \)
\( \frac{8}{3} = \frac{3}{8} \)
192, 144, 108,….
Find the recursive and explicit formula
Answer:
Explicit: \(a_n = 192 * (3/4)^{n-1}\)
Recursive: \(a_n = a_{n-1} * (3/4)\)
Step-by-step explanation:
Common Ratio ( r ): 144/192 = 3/4 (0.75)
Geometric Explicit:
\(a_n = a_1 * r^{n-1}\)
\(a_n = 192 * (3/4)^{n-1}\)
Geometric Recursive:
\(a_n = a_{n-1} * r\)
\(a_n = a_{n-1} * (3/4)\)
Hopefully this helped!
Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
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Dorthy play a game in which she could either lose our game points each round at the end of seven rounds and she had -9 points. after one more round she had -5 points, express the change and points in the most recent round as a integer.
In the most recent round, the change in points for Dorothy can be expressed as an integer of +4.
1. Given that Dorothy had -9 points after seven rounds, we can deduce that she lost 4 points in each of those rounds.
2. After one more round, Dorothy's points changed from -9 to -5.
3. To find the change in points in the most recent round, we subtract the initial points from the final points: -5 - (-9) = +4.
Therefore, the change in points in the most recent round for Dorothy is +4.
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2 ninths + 2 thirds
Answer:
8/9
8 ninths
0.88888888888
Hope this helps :)
find the value of x if ab and ad are tangents to c
Answer:
Below
Step-by-step explanation:
If they are both tangents from point A , they are the same lengths
2x+7 = 5x -8 subtract 2x from both sides of the equation
7 = 3x - 8 add '8' to both sides
15 = 3x
x = 5
2. Solve the inequality and graph the solution
V-6 ≥ 4
Answer:
V≥10
Step-by-step explanation:
V−6≥4
Add 6 to both sides.
V≥4+6
Add 4 and 6 to get 10.
V≥10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)
what is the ending value of sum, if the input is: 2 5 7 3? all variables are integers. a. 5 b. 10 c. 15 d. 12
12 is the ending value of sum, if the input is: 2 5 7 3. all variables are integers.
An integer is a whole number with no fractional or decimal components. It is a subset of the real numbers, and can be either positive, negative, or zero. An integer can be written without a decimal point, and can be expressed as an exact, repeating number in a fractional or decimal form. Examples of integers include -2, 5, 0, and 17.
Integers are a special type of whole number that are used to represent counting numbers, negative numbers, and zero. They are a subset of the real numbers, which are any number that can be represented on a number line. Integers are non-fractional numbers that do not contain decimal points or other decimal components. They can be expressed as an exact number, such as -2 or 5, or as a repeating decimal or fraction, such as 3/2 or 0.75.
The answer is d. 12. To calculate the ending value of sum, we need to add up all the integers. In this case, the integers are 2, 5, 7, and 3. When added together, 2 + 5 + 7 + 3 = 17. Therefore, the ending value of sum is 17 - 5 = 12.
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Cual es la de Raiz de 2000
2000 | 2
1000 | 2
500 | 2
250 | 2
125 | 5
25 | 5
5 | 5
1
√2000 = √2².√2².√5².√5
√2000 = 2.2.5√5
√2000 = 20√5
(aproximadamente 44.72135955)
I NEED HELP PLEASE RQ
Answer:
All tables are NO
Step-by-step explanation:
The equation of this line is: y = -2x + 1
Quickest way to check the tables is to look at y when x=0. The y value should be 1 (this is the y intercept). None of these tables matches the graph.
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (-8, 7), midpoint: (8, -2)
Answer:
Step-by-step explanation:
16, -11
Which expression is equivalent to 2 + 3?
A) 3 - 2
B) 3 + 2
C) 3(2)
Eliminate
D) 6
what is the image of the point (2,-3) after a rotation of 180 degrees counterclockwise about the origin ?
Answer:
is is on the x acsess 2 and go down to -3. Hope this helped!
Step-by-step explanation:
Go to the x acsessw and go to 2 go down to -3 and mark
In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 3ft/sec, determine how fast the area is increasing when the radius of the circle is 30 feet. Hint: consider that the radius r is a function, and we know the rate of change of r with respect to time.
Answer:
180π ft/secStep-by-step explanation:
Since the area pollute sis assumed to be a circle, we will be using the formula for calculating the area of a circle to solve the problem.
Area of a circle A = πr²
r is the radius of the circle
The rate at which the area is increasing is expressed as dA/dt. According to chain rule, dA/dt = dA/dr*dr/dt where;
dr/dt is the rate at which the area is increasing.
If dA/dr = 2πr (by mere differentiation)
dA/dt = 2πr * dr/dt
Given dr/dt = 3ft/sec and r = 30feet
dA/dt = 2π(30) * 3
dA/dt = 180π ft/sec
Hence, the area is increasing at the rate of 180π ft/sec
Which is the best description of triangles ABC and DEF?
2 similar triangles labeled ABC and DEF are shown. Side AB is 3 centimeters, side AC is 5 centimeters, and side BC is 2 centimeters. Side DE is 4 point 5 centimeters, side DF is 7 point 5 centimeters, and side EF is 3 centimeters.
A. They are congruent, but not similar.
B. They are similar, but not congruent.
C. They are neither similar nor congruent.
D. They are both similar and congruent.
Answer:
B. They are similar, but not congruent.
Step-by-step explanation:
what is the slope of the line in this graph?
answers:
a. 5/9
b. 5/7
c. 7:5
d. 9/7
Answer:
b: 5/7
Step-by-step explanation:
Answer:
5/9
Step-by-step explanation:
You got to find 2 points that you want and use the formula y1-y2 and x1=x2 and you find your slope.
The shape shown is made of centimetre cubes. Work out how many more centimetre cubes would need to be added to turn the shape into a solid 3x4x4 cuboid.
The number of cubes that would be needed to be added to turn the shape into a solid 3x4x4 cuboid would be = 24 cubes.
What is a cuboid?A cuboid is defined as the type of quadrilateral that has 6 faces, 8 vertices, and 12 edges.
The volume of the cuboid;
volume of the cuboid;= l×w×h
= 3x4x4
= 48cm³
The volume of each cube = 1cm×1cm×1cm
The number of cubes available= 24 cubes
Therefore the remaining cubes = 48-24 = 24 cubes.
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find the value of 7⁴
Answer:
2401
Step-by-step explanation:
Because 7x7x7x7 is 2401, you’re supposed to multiply 7 by it’s exponent, and in this case, its 4. So multiply, 7 four times.
Flora made 7 withdrawals of $75 each from her bank account. What was the overall change in her account?
+ $525
+ $15
- $15
- $525
Answer:
-525
Step-by-step explanation:
please mark brainlyest
Please help!! I will mark you brainliest
Answer:
8x-3=5x+6
Step-by-step explanation:
8x-3=5x+6
3x=9
x=3
Mrs. Espinoza is renting an inflatable bounce house for her kids. The table shows the total amount she will be charged for a given number of hours it is rented. Which equation represents t, the amount of money Mrs. Espinoza will pay to rent the bounce house for h hours?
Answer: The equation that represents the amount of money Mrs. Espinoza will pay to rent the bounce house for h hours is:
t = 15 + 5h
Step-by-step explanation: From the table, it can be seen that the rental cost is $15 for the first hour and $5 for each additional hour.
The rental cost t can be represented by the equation t = 15 + 5h
The first term, 15, represents the fixed cost of $15 for the first hour.
The second term, 5h, represents the variable cost of $5 for each additional hour.
So if Mrs Espinoza rents the bounce house for h hour, the cost will be 15+5h.
Labeling:
t represents the total amount that Mrs. Espinoza will pay to rent the bounce house
h represents the number of hours that Mrs. Espinoza rents the bounce house.
15 is the fixed cost of renting the bounce house for the first hour.
5 is the variable cost for each additional hour.
The equation t = 15 + 5h represents the total cost of renting the bounce house for h hours.
Where is ( 2 , − 6 ) located on the coordinate plane? Choose 1 answer: Choose 1 answer: (Choice A) Quadrant I II A Quadrant I II (Choice B) Quadrant I I III, I B Quadrant I I III, I (Choice C) Quadrant I I I IIII, I, I C Quadrant I I I IIII, I, I (Choice D) Quadrant I V IVI, V D Quadrant I V IVI, V (Choice E) � xx-axis E � xx-axis (Choice F) � yy-axis F � yy-axis Report a problem
A point (2, - 6) is lies on Quadrant IV.
We have to given that;
A point is,
⇒ (2, - 6)
Now,. We know that;
The point in quadrant I is, (x, y)
And, Point on quadrant II is, (- x, y)
And, Point on quadrant III is, (- x, - y)
And, Point on quadrant IV is, (x, - y)
Here, Point is (2, - 6)
In which x - coordinate is positive and y - coordinate is negative.
Hence, It must be lies on Quadrant IV.
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The table above gives values of the function f at selected values of x. Which of the following statements must be true
On solving the provided question, we can say that the function's value
\(limx→4+f(x)=6limx→4+f(x)=6\)
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
function's value will be -
limx→4+f(x)
=6limx→4+f(x)
=6
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Complete question is: The table above gives values of the function fat selected values of \($\mathrm{x}$\). Which of the following statements must be true?
\($$\text { A } \lim _{x \rightarrow 2} f(x)=3$$\)
\($$B \lim _{x \rightarrow 2} f(x)=8$$\)
\(C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.\)
\(D\ $\lim _{x \rightarrow 2} f(x)$\) cannot be definitively determined from the data in the table.
After expressing Newton's law
for the system. Determine the equations of motion for the two
masses x(t) and y(t) please.
Two springs and two masses are attached in a straight line on a horizontal frictionless surface as illustrated in the figure to the right. The system is set in motion by holding the mass \( m_{2} \) a
the equations of motion for the two masses x(t) and y(t) are:F1 = -k1x1F2 = -k1x2 + k2(y - x2)
Newton's second law of motion can be stated as F = ma (force equals mass times acceleration). In this question, we are looking for the equations of motion for the two masses x(t) and y(t) attached to the springs. We can use Newton's second law to derive the equations of motion for each mass.
First, we consider mass m1. The only force acting on this mass is the spring force from k1. We can apply Newton's second law to derive the equation of motion for this mass as:
F1 = -k1x1where F1 is the force exerted by the spring on mass m1, k1 is the spring constant, and x1 is the displacement of mass m1 from its equilibrium position. Next, we consider mass m2.
The spring force from k1 and the spring force from k2 act on this mass. We can apply Newton's second law to derive the equation of motion for this mass as:
F2 = -k1x2 + k2(y - x2)where F2 is the force exerted by the springs on mass m2, k1 and k2 are the spring constants, x2 is the displacement of mass m2 from its equilibrium position, and y - x2 is the displacement of the other spring from its equilibrium position.
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