Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
Number 9, Im not quite sure on how to do these
Solution:
Given:
\(f(x)=2(x-3)^2+1\)The equation of a parabola in vertex form is given by:
\(y=a(x-h)^2+k\)The coordinates of the vertex is given by (h,k).
Hence, comparing both equations,
\(\begin{gathered} f(x)=2(x-3)^2+1 \\ y=a(x-h)^2+k \\ a=2 \\ h=3 \\ k=1 \end{gathered}\)Therefore, the coordinates of the vertex is;
\((h,k)=(3,1)\)Is -6.5555 a rational or irrational number?
Is -2 a rational or irrational number?
Answer:
1.)no
2.)yes
Step-by-step explanation:
____ inches of water will cause tires to lose traction and make them slide.
The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.
However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.
what is number?
A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.
To know more about number visit:
brainly.com/question/3589540
#SPJ11
Can you please help me
Answer:
11
Step-by-step explanation:
2.6432 rounded to the nearest tenth
Answer:
2.6
Step-by-step explanation:
Answer:
2.6 is the answer.
Please help, thank you!
A set of eight cards were labeled with A, D, D, I, T, I, O, N. What is the sample space for choosing one card?
S = {A, D, D, I, I, N, O, T}
S = {A, D, I, T, O, N}
S = {A, I, O}
S = {D, I}
When a set of eight cards were labeled with A, D, D, I, T, I, O, N. The sample space for choosing a card is
S = {A, D, D, I, I, N, O, T}What is sample space?A sample space is a set or collection of potential outcomes from a random experiment.
The letter "S" stands for the sample space in a symbol. The term "events" refers to a subset of probable experiment results.
Depending on the experiment, a sample area could include a variety of results.
For the given problem, the sample space is A, D, D, I, T, I, O, N which is rearranged to be S = {A, D, D, I, I, N, O, T}
Learn more on sample space at:
https://brainly.com/question/10558496
#SPJ1
Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a decimal
Answer the related questions for the differential equation containing x(t) input and y(t) output, t<=0, given for the CT LTI system (Continuous-time linear time invariant system) shown below and upload it to the system. 1) Write the Transfer function for Laplace Domain. 2-3) Draw the pole-zero diagram for Laplace Domain. Indicate the pole and zero locations. 4) Write the formula of impulse response. 5) Write the step response formula for the Time Domain of the system
1) The transfer function for the Laplace domain of the CT LTI system is H(s).
2-3) The pole-zero diagram for the Laplace domain indicates the locations of poles and zeros of the system.
4) The formula for the impulse response of the system is h(t).
5) The step response formula for the time domain of the system is y(t).
In a CT LTI system, the transfer function, denoted as H(s), represents the relationship between the Laplace transform of the system's output, Y(s), and the Laplace transform of the system's input, X(s). It can be derived by taking the Laplace transform of the differential equation that relates the input, x(t), and the output, y(t), of the system.
The pole-zero diagram is a graphical representation of the transfer function in the complex plane. The poles indicate the values of s for which the transfer function becomes infinite or approaches infinity, while the zeros represent the values of s for which the transfer function becomes zero or approaches zero. The positions of poles and zeros provide important insights into the stability, frequency response, and transient behavior of the system.
The impulse response, h(t), is the output of the system when the input is an impulse function, such as a Dirac delta function. It is a fundamental characteristic of the system and describes how the system responds to an instantaneous change in the input. The impulse response can be obtained by taking the inverse Laplace transform of the transfer function.
The step response, y(t), represents the output of the system when the input is a unit step function, such as a Heaviside function. It describes the system's behavior when the input changes from zero to a constant value at t = 0. The step response can be calculated by taking the inverse Laplace transform of the transfer function and applying the appropriate initial conditions.
Learn more about: transfer function
brainly.com/question/31326455
#SPJ11
HELP WIL GIVE BRAINILEST!!!! Translate this phrase into a mathematical expression.
16 divided by 4 first, and then that total subtracted from 31.
4÷16-31
0.25-31
-30.75
Step-by-step explanation:
there u go
Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of
12 ft. 3 Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft.3 What are the widths of Kyle and Myla's boxes? Explain how you know.
Answer:
both boxes are 2 ft wide
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH
When three of the four variables are known, the fourth can be found as ...
W = V/(LH)
__
Kyle's boxW = (12 ft³)/((2 ft)(3 ft)) = 12/6 ft = 2 ft
The width of Kyle's storage box is 2 ft.
__
Myla's boxW = (16 ft³)/((4 ft)(2 ft)) = 16/8 ft = 2 ft
The width of Myla's storage box is 2 ft.
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Answer:
1814400
Step-by-step explanation:
The length of a rectangular prism is four times the width. The height of the prism is 160ft^3, what is the width of the prism? Round the the nearest tenth of a foot
Answer:
The width of the prisim is equal to 2.23 feet.
Step-by-step explanation:
let l is length and b is width.
Length, l = 4b
The volume of the prism is 160 ft³.
The height of the prism is 8 ft.
The formula for the volume of a prism is given by :
\(V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft\)
So, the width of the prisim is equal to 2.23 feet.
Question 3 Convert English sentences to express them in terms of R(x), H(x), quantifiers and logical connectives. (Note: Domain consists of all animals). R(x): "x is a rabbit". H(x): "x hops" (a) For every animal in the domain, if it is a rabbit, it hops. (b) There is at least one animal such that it is a rabbit and it doesn't hop.
the predicates R(x) and H(x) along with quantifiers and logical connectives, we can represent the given statements as ∀x(R(x) → H(x)) and ∃x(R(x) ∧ ¬H(x)).
(a) Using the predicates R(x) and H(x) to represent "x is a rabbit" and "x hops" respectively, the English sentence "For every animal in the domain, if it is a rabbit, it hops" can be expressed in terms of quantifiers and logical connectives as:
∀x(R(x) → H(x))
This translates to "For all x in the domain, if x is a rabbit, then x hops."
(b) Similarly, the English sentence "There is at least one animal such that it is a rabbit and it doesn't hop" can be expressed in terms of quantifiers and logical connectives as:
∃x(R(x) ∧ ¬H(x))
This translates to "There exists an x in the domain such that x is a rabbit and it does not hop."
In summary, using the predicates R(x) and H(x) along with quantifiers and logical connectives, we can represent the given statements as ∀x(R(x) → H(x)) and ∃x(R(x) ∧ ¬H(x)).
Learn more about domain here:
ttps://brainly.com/question/28135761
#SPJ11
Need the answer, please help me
Answer:
3/5×
Step-by-step explanation:
y2-y1/x2-x1
0-(-6)/ 14-4
6/10x 3/5x
or
Ver en español
Line v has an equation of y=
–
1
4
x–6. Line w is parallel to line v and passes through (
–
6,6). What is the equation of line w?
The equation of the line w is y = (-1/4)x + 9/2 .
In the question ,
it is given that
the equation of the line v is given as y = (-1/4)x-6
and the line line w is parallel to line v ,
On comparing line v with the the point slope form of the line y=mx+c , we get the slope of line v = -1/4
Since the line v and line w are parallel they will have the same slope ,
hence slope(m) of line w = -1/4.
line w passes through (-6,6) i.e. x = -6, and y=6
finding the y intercept "c"
Substituting the values in equation y = mx+c we get
6 = -6(-1/4) +c
c = 6-6/4
c = 18/4
c = 9/2
the equation of line w becomes y = (-1/4)x + 9/2
Therefore , the equation of the line w is y = (-1/4)x + 9/2 .
The given question is incomplete , the complete question is
Line v has an equation of y = (–1/4)x-6. Line w is parallel to line v and passes through (–6,6). What is the equation of line w?
Learn more about Equation of Line here
https://brainly.com/question/14894614
#SPJ1
line of best fit algebra: the number of steps per second that a runner takes is called the stride rate
The number of steps per second that a runner takes is not typically called the stride rate.
What is Stride Rate?Stride rate is a measurement of how frequently a person makes steps when walking or jogging. It is typically expressed in steps per minute and is calculated by dividing the total number of steps taken by the time it takes for each step to be completed. A person is often traveling faster if they have a greater stride rate. Numerous variables, such as a person's height, leg length, and muscular strength, can influence stride pace. The kind of exercise being done and the surface on which a person is walking or jogging might also have an impact. People may assess their development and modify their training plan to increase their speed and efficiency by keeping an eye on their stride rate.
To learn more about stride rate, visit:
https://brainly.com/question/28713848
#SPJ4
A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 members, 44 of which are Demonstrators and 56 of which are Repudiators. (a) How many ways are there to select a committee of 10 senate members with the same number of Demonstrators and Repudiators
what is 3/4x(5/6-4/23)=43
Answer: 86 86/91 or 7912/91
Work: So you multiply 3/4x by what is in the parenthesis like this: 3/4x*5/6-3/4x*4/23. and you get 5/8x-3/23x=43. And then you simplify to get 91/184x=43 then u multiply both sides by 184 to get rid of the fraction. and you get 91x=7912. then you divide both sides by 91 and you get x=7912/91 or 86 86/91
You set up an IRA (Individual retirement account) with an APR of 5% at age 25. At the end of each month, you deposit $75 in the account. How much will the IRA contain when you retire at the age of 65? a. $114,451.51 c. $114,135.20 b. $115,625.02 d. $115,230.06 Please select the best answer from the choices provided O A B C o D
Answer:
Option A is the best answer
Step-by-step explanation:
Let me know if this is wrong, I believe it is correct.
a landscape architect is planning a new nature area in the middle of an urban campus. she wants the length to be twice the width, and wants to put a -foot high retaining wall around the perimeter. there will be a total of of wall installed. how wide will this nature area be? be sure to include the correct unit in your answer.
The Natural area will be 100 feet wide.
Algebra is a branch of mathematics that deals with equations and variables.
To start, there are some specific requirements for the dimensions of the nature area. The length should be twice the width, which means that if we use "w" to represent the width, the length would be "2w". Additionally, a retaining wall that is "h" feet high will be installed around the perimeter of the space.
The total length of the retaining wall needed is given, which means we can use this information to solve for "w". To do this, we need to use a bit of algebra.
First, let's write out the equation for the total length of the retaining wall:
2(2w) + 2w = 600
6w = 600
Dividing both sides by 6, we get:
w = 100
Therefore, the width of the nature area will be 100 feet.
To know more about Algebra here
https://brainly.com/question/24875240
#SPJ4
WILL GIVE BRAINLIEST
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 4), (2, 8), (3, 16), (4, 32)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)
Answer:
Using sequences concepts, it is found that:
A. As the quotient between consecutive terms is the same, the data is a geometric sequence
C. She will need a time of 1024 units to complete the 10th station.
In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.
If the quotient between consecutive terms is the same, the sequence is geometric.
She will need a time of 1024 units to complete the 10th station.
A set of eight cards were labeled with A, D, D, I, T, I, O, N. What is the sample space for choosing one card?
S = {A, D, D, I, I, N, O, T}
S = {A, D, I, T, O, N}
S = {A, I, O}
S = {D, I}
The correct answer is S = {A, D, D, I, T, I, O, N}.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The sample space is the set of all possible outcomes of an experiment or event.
In this case, the experiment is choosing one card from a set of eight labeled cards.
The sample space for this experiment is the set of all possible cards that can be chosen.
In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.
The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.
This is because each card is distinct and can be chosen independently of the others.
Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.
To know more about probability visit :
https://brainly.com/question/13604758
#SPJ1
Answer: A( A,D, D,I, I,N,O,T)
Step-by-step explanation:
Order does not matter!!
If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
https://brainly.com/question/23423168
#SPJ4
determine the rate of change for the graph from 2014 to 2015:____ students per year
Answer:
The answer would be 9
Step-by-step explanation:
2. the correlation coefficient of the data is 0.93. which relationship between the study time and the scores best describes the meaning of the correlation coefficient?
There is a strong positive correlation between studying and grades.
There is a strong negative correlation between studying and grades.
There is a weak positive correlation between studying and grades.
There is a weak negative correlation between studying and grades.
The statement "There is a strong positive correlation between studying and grades" best describes the meaning of a correlation coefficient of 0.93. The correct answer is A.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, a correlation coefficient of 0.93 indicates a strong positive correlation between studying and grades.
A positive correlation means that as the value of one variable (study time) increases, the value of the other variable (grades) also tends to increase. A correlation coefficient close to +1 indicates a strong positive relationship, suggesting that an increase in study time is associated with higher grades. e correct answer is A.
Learn more about correlation at https://brainly.com/question/19008792
#SPJ11
Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know
y=x-2
HELP MY RSM IS TOMORROW
Graph the lines given by the equation
Answer:
make a line going through points (2,0) and (0,-2) I put a picture.
Step-by-step explanation:
What is the equation of a line passing through the points (-3,
-2) and (2, 0)?
Answer:
\(y=0.400x+-0.800\)
Step-by-step explanation:
Given the following question:
point A = (-3, -2)
point B = (2, 0)
To write the equation of the line that passes through two points we have to write the points in slope intercept form.
Formula for slope intercept:
\(y=mx+b\)
M is equal to the slope of the two points, so first we need to fine the slope of the two points.
\((-3,-2)=(x1,y1)\)
\((2,0)=(x2,y2)\)
\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{0--2}{2--3} =\frac{2}{5}\)
\(m=\frac{2}{5} =0.400\)
\(y=mx+b\)
\(y=-2\)
\(m=0.400\)
\(x=-3\)
\(-2=0.400(-3)+b\)
\(0.400\times-3=-1.20\)
\(-2+1.2=-0.800\)
\(b=-0.800\)
\(y=0.400x+-0.800\)
Hope this helps.
Mrs. Owen is teaching a 5th grade
class. She is standing 15 feet in front
of Lexi. Tony is sitting 8 feet to Lexi's
right. How far apart are Mrs. Owen and
Tony?
feet
Answer:
17 feet
Step-by-step explanation:
We have to use the pythagorean theorem, this is actually a bit more complicated than it seems at a first glance.
If Tony is 8 feet to Lexi's right, then we can form a triangle as such
I can't paste it (sorry)
but we can use the formula a^2+b^2=c^2, so 15^2=225, and 8^2=64, and 225+64=289, and \(\sqrt289=17\)
so they're 17 feet apart!
At a local print shop, 10 copies can be made for $4. At this rate, how how many copies
could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
85 copies
Step-by-step explanation:
use the comparison method
no. of copies. $
10 4
x. 34
4x = 34×10
x= 340/4
x= 85
the value of x is 85
Answer:
85 copies
Step-by-step explanation:
Number of copies for $4 = 10
Number of copies for $1 = 10 ÷ 4
Number of copies for $34 = \(\frac{10}{4}*34\)
= 5*17
= 85 copies