There are 192 pennies in a stack that is 1 ft high.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
Stack is 1 feet high.
Now, We know that;
⇒ 1 inch = 16 pennies
And, 1 feet = 12 inches
So, We get;
⇒ 1 ft = 12 inches
= 12 × 16 pennies
= 192 pennies
Learn more about the measurement units visit:
https://brainly.com/question/777464
#SPJ1
f(x)=2x-3, find f(-4)
Answer:
f(- 4) = - 11
Step-by-step explanation:
substitute x = - 4 into f(x) , that is
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
Answer:
f(-4)=-11
Step-by-step explanation:
f(x)=2x-3
Let x=-4
f(-4)=2(-4)-3
= -8-3
= -11
Graph -3x2+12y2=84 . What Are The Domain And Range?
The domain and range of the given graph function is R.
The equation -3x^2 + 12y^2 = 84 represents an ellipse in the coordinate plane. The standard form of an ellipse is (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axis, respectively.
To put the given equation in standard form, we need to divide both sides by 84, and divide the x^2 and y^2 by the square of their respective coefficient:
(-3/84)x^2 + (12/84)y^2 = 1
This gives us x^2/ (84/-3)^2 + y^2/ (84/12)^2 = 1
Which gives us x^2/28 + y^2/7 = 1
This means that the semi-major axis has a length of 2sqrt(7) and the semi-minor axis has a length of sqrt(7).
The domain of this function is all real numbers, because the x values can take any real value.
The range of this function is also all real numbers, because the y values can take any real value, within the boundaries of the ellipse.
So, the domain and range of the function -3x^2 + 12y^2 = 84 is all real numbers.
Read more about Domain and Range:
https://brainly.com/question/1632425
#SPJ4
(Brainliest)(7th grade)Find x and y of this obtuse triangle.
Calcula el volumen de un prisma cuya base es un rombo de diagonales 12 y 18 cm
So on solving the provided question we can say that - Area of prism,
Area, A = 2(wl+hl+hw) = 180 sq units
what is prism?The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.
Area, A = 2(wl+hl+hw)
A = 2(20 + 40 + 30)
A = 2(90)
A = 180sq units
To know more about prism visit:
https://brainly.com/question/27914026
#SPJ1
Express the absolute value function f(x) = -7|x| as a piecewise-defined function.
Answer:1111
Step-by-step explanation:1111
A Thermometer with an arbitrary scale of equal divisons register -10 celsius at the ice point and +110 celsius at the steam point. Compute :
A. The centigrade temperature corresponding to 20 celsius on this thermometer
B. The Fahrenheit temperature corresponding to a reading of 45 celsius on this thermometer
Answer:
Step-by-step explanation:
The range (ice to steam) of a Celsius thermometer = 100 C.
The range of the given thermometer = 10 + 110 = 120 degrees.
So, 1 degree C ≡ 1.2 degrees on the given thermometer.
A. So, 20 degrees C ≡ 24 on given thermometer and the reading will be 24 - 10 = 14.
Serena is cycling from dance class to her home. The equation shows Serena's distance (y), in miles, from her home after x minutes:
y = 16 − 6x
What does the number 16 in the equation represent? (1 point)
a
Serena's distance from home when she begins cycling
b
Serena's distance from the dance class when she begins cycling
c
The speed at which Serena is cycling from the dance class to her home
d
The rate of change of Serena's speed while cycling from the dance class to her home
In linear equation, 16 is represent The speed at which Serena is cycling from the dance class to her home
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6x + y = 16
6x = 16 - y
x = 8/3 - y/6
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
Which answer describes the graph of the system of equations?
The point of intersection is (0, 4).
The point of intersection is (4, 0).
The lines are parallel.
The lines coincide.
There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system. D is the right answer.
What is a System of equations?The lines of the equations must be parallel to one another for a system of equations to have no meaningful solution.
Consistent Method
First, Dependent Consistent System
There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system.2. Independent Consistency SystemA system of equations must have a single unique solution for which the equation's lines must intersect at a certain location in order to qualify as an Independent Consistent System.It is clear that the lines coincide if the graph of the given system of equations is drawn as shown below. Therefore, choice D is the right one.The complete question is,
Which answer describes the graph of the system of equations?
{y=4-x
{2y=8-2x
A) the point of intersection is (0,4)
B) the point of intersection is (4,0)
C) the lines are parallel
D) the lines coincide
To learn more about System of equations refer to:
https://brainly.com/question/13729904
#SPJ1
Answer:
d (the line coincide)
Step-by-step explanation:
we all need help
Use the graph to evaluate the function below for specific inputs and outputs.
Inputs and outputs are 3,-2.One point can be used to represent each set of input and output values on a graph.
Inputs and outputs are graphical in what way?One point can be used to represent each set of input and output values on a graph. The vertical axis is used to measure output values, whereas the horizontal axis is used to measure input values. On each axis, a scale that is consistent and can hold all the necessary points is drawn.
The C language provides input and output functions for carrying out the most typical operations. Three fundamental tasks are performed in every C program: taking input data, processing that data, and producing output. Data that is accepted is considered input, and data that is presented is considered output.
According to question:-
At x=-4, g(x) equals 6.
g(x)= -2 x=3
kindly examine the g(x) graph.
the value of y is equal to 6 for x=-4.
with x = 3, the value of y Equals -2.
To know more about Inputs and outputs visit:
brainly.com/question/14352771
#SPJ1
Noah is 1.35 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 31.55 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
3.64 meters
Step-by-step explanation:
To find the height of the tree to the nearest hundredth of a meter, you can use the principle of similar triangles.
First, we can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the height of the tree, the distance between the base of the tree and the point where the shadows meet, and the length of the shadow of the tree.
c = √(a² + b²)
c = √(h² + 26.2²)
Next, we can use the similar triangles to establish a ratio between the length of the shadow and the height of the tree and the length of the shadow and the distance from the tree.
shadow tree / height tree = shadow person / height person
31.55 / h = 31.55 / 26.2
Now, we can cross-multiply and divide to solve for h
h = 31.55 * 1.35 / 26.2
h = 3.64 meters
We can round it up to the nearest hundredth of a meter:
h = 3.64 meters
Therefore, the height of the tree is 3.64 meters to the nearest hundredth of a meter.
Last year, Ivan opened an investment account with 8600. At the end of the year, the amount in the account has decreased by 6%
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
x2 = 3/5, x1 = 9/4, and x3 = 2/3 of the row-echelon form of the augmented matrix are the answers to the equations.
what is unitary method ?The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)
given
Replace the variable in the equation with the given integer.
Check to see if the resulting equation is correct. The number is not a solution if it is false.
x2 = 3/5, x1 = 9/4, and x3 = 2/3 of the row-echelon form of the augmented matrix are the answers to the equations.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Ayden owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3-75 and each burrito for $6.25.
Ayden must sell no less than $530 worth of tacos and burritos each day. Also, he can sell at most 70 burritos. If a represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see below for a graph
(x, y) = (50, 60) . . . . one possible solution
Step-by-step explanation:
You want inequalities, their graph, and one possible solution to match the Ayden food truck scenario: a total of 120 tacos (x) or burritos (y) can be sold, with that total including at most 70 burritos. At $3.75 per taco and $6.25 per burrito, revenue must be at least $530.
InequalitiesAn inequality can be written for each constraint:
total number of tacos and burritos: x + y ≤ 120
minimum revenue: 3.75x +6.25y ≥ 530
maximum burritos: y ≤ 70
GraphThese are graphed in the attachment. The point (x, y) = (50, 60) represents one possible solution: 50 tacos and 60 burritos sold for $562.50.
If you were to graph the information provided in the table, what would be the labels for the x- and y-axes?
Answer:
The answer is right there, the left of the graph "number of burritos" is the x-axis, the y axis is the "cost"
Step-by-step explanation:
The combination lock has three wheels each numbered from 0 to 9 what is the possibility that someone randomly guesses the correct combination in five attempts?
The possibility that someone randomly guesses the correct combination in five attempts is 1/200
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given;
There are three wheels
Each numbered from 0 to 9
For the first wheel, you have 10 possible digits.
For the second wheel, you have 10 possible digits.
For the third wheel, you have 10 possible digits.
10 x 10 x 10 = 1000
For 5 attempts= 5/1000
=1/200
Therefore, the probability will be 1/200
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ1
Mindy and Troy combined ate 999 pieces of the wedding cake. Mindy ate 333 pieces of cake and Troy had \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction of the total cake.
The expression is 3 + c/4 = 9 and the total pieces of care are 24.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator).
Given total cake eaten by mindy and troy = 9 pieces
Mindy ate = 3 pieces of cake
Troy = had ¼ of the total cake.
let there be c pieces of cake,
troy ate = c/4
Let Mindy ate be a and troy ate be b
a + b = 9
and a = 3, b = x/4
3 + c/4 = 9
c = 6 * 4
c = 24
Hence the equation is 3 + c/4 = 9 and there are 24 pieces of cake.
Learn more about expression;
https://brainly.com/question/14083225
#SPJ1
the correct question is ,
Mindy and Troy combined 9 pieces of the wedding cake .Mindy ate three pieces of cake and Troy had 1/4 of the total cake
write an equation to determine how many pieces of cake (c) there were in total
Which of the following is true of z scores that fall below the mean?
O Group of answer choices
O They are negative.
O They are equal to the mode.
O They are positive.
O They are in the upper half of the distribution.
The truth of z scores that fall below the mean is - they are negative. Option(b) is the correct answer.
A z-score called a standard score gives an idea of how far from the mean a data point is. But technically it is a calculation of how many standard deviations below or above the population mean a raw score is.
A z-score can place on a normal distribution curve. Z-score ranges from -3 standard deviations up to +3 standard deviations.
A z-score is equal to 0 means that it is on the mean. A positive z-score shows the score is higher than the mean average.
A negative z-score reveals the score is below the mean average.
Read more about mean:
https://brainly.com/question/1136789
#SPJ4
The _____ describes the average distance of distribution values from the mean.
A.standard deviation
B.arithmetic average
C.mean
D.mode
E.median
Sketch the graph of h(x) = g (x+3) -6
Therefore , the solution of the given problem of graph comes out to be
x = 0 , y =22 and x= 1 , y=23.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
Here,
Given :
=> h(x) = g(x+3) - 6
g(x) = x+ 25
So,
=> g(x+3) = x +3 + 25 = x+28
and
=> h(x) = x + 28 -6
=>y= h(x) = x+ 22
Thus,
y= x+22
the points which can be graph area:
=> x = 0 , y =22
=> x= 1 , y=23
Therefore , the solution of the given problem of graph comes out to be
x = 0 , y =22 and x= 1 , y=23.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
Higher Order Thinking Lauren has a stamp collection. She gives Kristen 12 stamps and Ethan 15 stamps. Lauren has 22 stamps left. How many stamps did she have at the start?
Answer: 49 Stamps
Step-by-step explanation:
If Lauren gave Kristen and Ethan 12 stamps and 15 stamps respectively, that means that she gave them a total of 27 stamps. This leaves her with 22 stamps left. In order to find the number of stamps she had at the start, add the stamps she gave away to the stamps she had left at the end. So,
15 stamps + 12 stamps + 22 stamps = 49 stamps total at the start
Lauren had 49 stamps in the beginning. Since she gives Kristen 12 stamps, and Ethan 15 stamps, we can add both amounts to assume the total number of stamps she gave away. 15+12=27, so she gave away 27 stamps. Lauren was left with 22 stamps. We can add 22 to 27 to find out how many stamps she had in all. 27+22=49. Therefore, we can come to the conclusion that Lauren had 49 stamps at the start.
Hope this helps o(〃＾▽＾〃)o
For which interval is the function constant?
(−∞,−6)
(2,∞)
(−6,0)
(0,2)
The function is constant in the interval (-6 to 0).
The correct option is (C).
What is a Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
If the value of one of the variables does not alter the value of the other, the function is said to be constant.
As we can see, the function is constant in the range from x=-6 to 0, because the value of y in the function does not change as the value of x changes (-6 to 0).
Learn more about Function here:
brainly.com/question/5245372
#SPJ1
Rose had 10 cookies she gave away 5 cookies to her friends she baked 20 more how many cookies does rose to have in all?
Answer: 25
Step-by-step explanation:
simple math
Answer:
25 cookies
Step-by-step explanation:
After she gives away 5 of her 10 cookies she is left with 5 cookies. Then she bakes 20 more. So you add 5 cookies to 20 cookies, and you get 25 cookies.
Or in total with all of the cookies she had before she gave away 5 of the 10, and the newly baked 20 cookies she has 30 cookies.
-Hope this helped
Jacqueline, Kimberly, and Julia collect mechanical pencils. Kimberly owns two less than three times the number of mechanical pencils Jacqueline owns. Julia owns three less mechanical pencils than Jacqueline. Together, the three collectors own a total of 100 mechanical pencils. How many mechanical pencils does Kimberly own?
Kimberley owns 55 pencils.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given: Kimberly owns two less than three times the number of mechanical pencils Jacqueline owns. Julia owns three less mechanical pencils than Jacqueline. Together, the three collectors own a total of 100 mechanical pencils. Let Jacqueline own x pencils then Kimberley owns 3x-2 and Julia owns x-3
Thus 3x-2+ x-3+x=100
5x=95
x=19
Hence, Kimberley owns 55 pencils.
Learn more about linear equations here:
https://brainly.com/question/545403
#SPJ1
A rectangle has a perimeter of 112. If the sides are 5x & 3x + 5, what is x and what are each of the sides?
The value of X is 7.625 while the two sides are 38.125 and 27.875.
To find the perimeter:Perimeter = 2(L+B)
112 = 2(5x + 3x + 5)
112 = 2(8x + 5)
Dividing both sides by 2
56 = 8x + 5
56 + 5 = 8x
61 = 8x
x = 61/8
x = 7.625
The sides are;
5x = 5(7.625)
5x = 38.125
3x + 5 = 3(7.625) + 5
3x + 5 = 22.875 + 5
3x + 5 = 27.875
Learn more about perimeter here: https://brainly.com/question/19819849
#SPJ1
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9m/2 . If the acceleration of the object becomes ms/2, what is the force?
If the acceleration of the object becomes 3 m/s^2, the force is equal to 27 Newton.
What is a direct proportion?Mathematically, a direct proportion can be represented the following mathematical expression:
y = kx
Where:
y represents the force.x represents the acceleration.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 81/9
Constant of proportionality (k) = 9.
For the force when the acceleration of the object becomes 3 m/s^2, we have:
y = kx
y = 9(3)
y = 27 Newton.
Read more on acceleration here: https://brainly.com/question/11786960
#SPJ1
Complete Question:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9 m/s^2. If the acceleration of the object becomes 3 m/s^2, what is the force?
Find ALL the missing side lengths and angle measurements
The measure of angle L is 66 degrees, which is found using the sum of the internal angle of a triangle. The length is 3.56 units.
What are internal angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
Given that the measure of angle M is 24 degrees and angle K is 90 degrees.
The sum of internal angles of a triangle is 180 degrees, thus:
[tex]\angle M + \angle K + \angle L = 180\\\\24 + 90 + \angle L = 180 \\\\\angle L = 66[/tex]
The length of side LK can be found as follows:
tan 24 = LK / MK
tan 24 = LK / 8
0.44 * 8 = LK
LK = 3.56 units.
The length of LM can be found by applying the Pythagorean theorem.
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ1
Which verbal expression best represents the equation 2(n - 7) = -14
Answer:
See below
Step-by-step explanation:
You could say "2 times the difference between n and 7 is equal to -14"
Show that the function is 1/n.
A zebra can run at a constant speed of 0.6 miles per minute. How far can a zebra run in 30 minutes?
Answer:
To find how far a zebra can run in 30 minutes, we need to multiply its speed by the amount of time it runs.
Distance = speed x time
In this case, the speed of the zebra is 0.6 miles per minute and the time it runs is 30 minutes.
Distance = 0.6 miles/min x 30 min = 18 miles
So, a zebra can run 18 miles in 30 minutes at a constant speed of 0.6 miles per minute.
Answer:
18 miles
Step-by-step explanation:
0.6 -----> 1
x -----> 30
30×0.6= 18
In ΔXYZ, x = 830 cm,
m
m∠Y=141° and
m
m∠Z=25°. Find the length of z, to the nearest 10th of a centimeter.
=======================================================
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
-----------
Now use the law of sines to determine side length z.
Make sure your calculator is in degree mode.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
Now use the law of sines to determine side length z.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
Hence, The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ2