Answer:
i think that it is 83.94 ft of i am correct
Layla borrowed some money from her friend in order to help buy a new video game
system. Layla agreed to pay the friend back some amount every week until her loan
was paid off. Let L represent the amount Layla owes her friend after t weeks. A graph
of L is shown below. Write an equation for I then state the y-intercept of the graph
and determine its interpretation in the context of the problem.
The linear equation for this scenario is L = -20t + 140. Layla owes her friend $140 and pays the friend $20 per week.
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let L represent the amount Layla owes her friend after t weeks.
Using the point from the graph (0, 140) and (7, 0):
L - 140 = [(0 - 140)/(7 - 0)](t - 0)
L - 140 = -20t
L = -20t + 140
The y intercept is 140
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
What grade is middle school geography?
Answer:
5th or 6th grade
Step-by-step explanation:
The reason why we learn geography in 5th grade is to prepare us for 6th grade geography. The reason why we learn geography in 6th grade is because Geography helps us understand basic physical systems that affect everyday life. In other words, geography is a nice skill to have when you're learning about the water cycle or rock formations, or the moving of the tectonic plates (and other natural disasters). It's also a very important skill to have when you want to start traveling.
Suppose that insurance companies did a survey. They randomly surveyed 410 drivers and found that 300 claimed they always buckle up.
We are interested in the population proportion of drivers who claim they always buckle up.
NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(i) Enter an exact number as an integer, fraction, or decimal.
x =
(ii) Enter an exact number as an integer, fraction, or decimal.
n =
(iii) Round your answer to four decimal places.
p' =
Which distribution should you use for this problem? (Round your answer to four decimal places.)
P' _ ( , )
Answer:
x = 300
n = 410
p' = 0.7317
\(\mathbf{P' \sim Normal (\mu = 0.7317, \sigma = 0.02188)}\)
Step-by-step explanation:
From the given information;
the objective is to answer the following:
(i) Enter an exact number as an integer, fraction, or decimal.
Mean x = 300
(ii) Enter an exact number as an integer, fraction, or decimal.
Sample size n = 410
(iii) Round your answer to four decimal places.
Sample proportion p' of the drivers who always claimed they buckle up is :
p' = x/n
p' = 300/410
p' = 0.7317
Which distribution should you use for this problem? (Round your answer to four decimal places.)
P' _ ( , )
The normal distribution is required to be used because we are interested in proportions and the sample size is large.
Let consider X to be the random variable that follows a normal distribution.
X represent the number of people that always claim they buckle up
∴
\(P' \sim Normal (\mu = p' , \sigma = \sqrt{\dfrac{p(1-p)}{n}})\)
\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{\dfrac{0.7317(1-0.7317)}{410}})\)
\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{\dfrac{0.7317(0.2683)}{410}})\)
\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{\dfrac{0.19631511}{410}})\)
\(P' \sim Normal (\mu = 0.7317, \sigma = \sqrt{4.78817341*10^{-4}})\)
\(\mathbf{P' \sim Normal (\mu = 0.7317, \sigma = 0.02188)}\)
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
Learn more about angles, click;
https://brainly.com/question/28451077
#SPJ1
Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
The range of which function includes -4?
A y=-x-5
B y=√x+5
C y=√x+5
D y=-{X-5
Range of the given function y=-x-5 includes -4
What is function?
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
For the given function,
y = -x-5
Wen we put x = -1
we get y = -4
Also,
The range of this function is (-∞, ∞)
Hence,
The function y = -x-5 includes the -4.
To learn more about function visit:
https://brainly.com/question/8892191
#SPJ7
5. The quotient of a and b is negative. Decide if each statement about a and b is true or false.
(4 pts)
True False
a. The quotient b + a is positive.
b. The product ab is negative.
c. Either a or b must be negative.
d. The quotient -a + b is negative.
Deciding if each statement about a and b is true or false.
a)False
b)True
c)True
d)False
Given:
The quotient of a and b is negative.
a.
If quotient is negative means the dividend or divisor any one is negative so when the quotient b+a is always negative so given statement is false.
b.
The product ab is always negative because if the quotient is negative means either a or b is negative so ab is negative.
So given statement is true.
c.
Either a or b must be negative is true because if no element a or b is not negative we cannot produce a negative quotient hence either a or b must be negative.
d.
The quotient -a+b is negative is false because if the quotient is negative the values of a and b is one positive and one negative the positive number that is b greater than -a in that case the statement is false.
Learn more about the quotient here:
https://brainly.com/question/16134410
#SPJ1
honey is a technology company that provides online coupons to its subscribers. honey's analytics staff has developed a classification method to predict whether a customer who has been sent a coupon will apply the coupon toward a purchase. for a sample of customers, the following table lists the classification model's estimated coupon usage probability for a customer. for this particular campaign, suppose that when a customer uses a coupon, honey receives $1 in revenue from the product sponsor. to target the customer with the coupon offer, honey incurs a cost of $0.05. honey will offer a customer a coupon as long as the expected profit of doing so is positive. using the equation
All customers, with the exception of customer 4, should receive coupons due to the probability that different consumers may use them.
Given that,
Probability of Customer Using Coupon
1- 0.47
2- 0.35
3- 0.27
4- 0.03
5- 0.08
We have to identify the anticipated profit for each client. Answers should be rounded to the closest cent. If applicable, enter a negative value as a negative number.
If users use the coupons, Honey will profit as follows:
= Revenue - Cost
= 1 - 0.05
= $0.95
If the coupon is not used, the cost of $0.05 becomes the profit.
Customer 1 expected profit:
= P(coupon used) × Profit if coupon used + (1 - P(coupon used)) × Profit if coupon not used
= (0.47 x 0.95) + ( (1 - 0.47) x -0.05)
= $0.42
Customer 2 expected profit:
= (0.35 x 0.95) + ( (1 - 0.35) x -0.05)
= $0.30
Customer 3 expected profit:
= (0.27 x 0.95) + ( (1 - 0.27) x -0.05)
= $0.22
Customer 4 expected profit:
= (0.03 x 0.95) + ( (1 - 0.03) x -0.05)
= -$0.02
Customer 5 expected profit:
= (0.08 x 0.95) + ( (1 - 0.08) x -0.05)
= $0.03
To learn more about customer visit: https://brainly.com/question/13069268
#SPJ4
a function is in the form g(x)= ax2 + d. if a is greater than 1 and d is positive, which could be the graph of g(x) ?
hello
to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file
what is the prime factorization of 35100
Find the prime numbers, that multiplied makes 35100.
Divide by the first prime number:
35100/2 = 17,550
17,550/2 = 8,775
8,775 /3 = 2,295
2,295/3 =975
975/3 = 325
325/5 =65
65/5 = 13
2x2x3x3x3x5x5x13 = 35,100
2^2 x 3^3 x 5^2 x 13
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Laura bought 25 rolls of yarn to make a
blanket. The multi-colored yarn cost $4
per roll. The solid colored yarn cost $3
per roll. She paid a total of $88. How
many different rolls of yarn did she buy?
Let's use a system of equations to represent the problem.
Let m be the number of multi-colored yarn rolls Laura bought and let s be the number of solid colored yarn rolls she bought.
From the problem, we know that:
m + s = 25 (Laura bought a total of 25 rolls of yarn)
4m + 3s = 88 (the total cost of the yarn rolls was $88)
We can use the first equation to solve for one variable in terms of the other. For example, if we solve for s, we get:
s = 25 - m
Now we can substitute this expression for s into the second equation:
4m + 3(25 - m) = 88
Simplifying this equation, we get:
m = 13
So Laura bought 13 multi-colored yarn rolls and 12 solid colored yarn rolls (since 13 + 12 = 25).
True or false? The graph represents a function.
true if you use the vertical line test there is never two points
Any polygon can be the base of a prism. A. True B. False
Answer:
true
Step-by-step explanation:
A prism is a solid with parallelogram sides (usually rectangles) and a polygon for the 2 bases. Any polygon can be the base.
Answer:
Hello!
__________________
Your answer would be (A) True.
Step-by-step explanation: Hope this helped you!
Any polygon can be the base of a prism so the answer is true.
Jo estimates that a piece of ribbon
measures 8.5 inches. If it actually
measures 7.8 inches, what is the
percent error of Jo’s estimate
Answer:
9
Step-by-step explanation:
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
this is my final, this thing is hard
Answer: graph 1:no graph 2:no graph 3: yes graph 4: yes graph 5: no
graph 6: no
Step-by-step explanation:
Answer:
Graph 1 I think is yes because when determining if a function, you do the vertical line test meaning you place an imaginary vertically on the graph and if there is 2 points on the line at once, like for graph 5 or 6, then it isn't a function.
Therefore,
Graph 1: Yes
Graph 2: No
Graph 3: Yes
Graph 4: Yes
Graph 5: No
Graph 6: No
For graph 1, it is way to close to tell if a function or not. So, I would say go with your gut.- 1/2 (-5/6 + 1/3) simplified
You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
To learn more about loan calculations;
https://brainly.com/question/28244942
#SPJ1
On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0). The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is {y|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
Answer:
Step-by-step explanation:
it is b
what is the circumference of the circle if r = 3.5 feet? use 22/7 for pi
Answer:
22 feet
Step-by-step explanation:
the formula for the circumference of a circle is 2πr where r is the radius of the circle. this can also be written as πd where d is the diameter of the circle (because the diameter is 2×r)
2×3.5=7
(22/7)×7=22
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
for more search question point
https://brainly.com/question/28162977
#SPJ8
Which number line represents the solution to 5x < 30? F t 8 0 2 4 6 10 G =N + 4 H 8 0 6 10 H + 0 + 8 2 4 6 10 J + 2 + 4 0 6 8 10
Answer:
Line H, the third option
Step-by-step explanation:
First, find the value of x
5x < 30Divide both sides by 55x/5 < 30/5x < 6X is strictly less than 6, so the answer cannot include 6
This means the answer needs to have an open circle as an endpointThe less than sign (<) tells you the line should be pointing to the left
Math on the Spot An arcade deducts 3.5 points from
a 50-point game card for each game played. The linear
equation y= -3.5x + 50 represents the number of
points y on a card after x games played. Graph the
equation using the slope and y-intercept.
For the linear equation y = -3.5x + 50 the graph is plotted with points (0,50) and (14.28,0).
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The linear equation is y = -3.5x + 50.
An arcade deducts 3.5 points from a 50-point game card for each game played.
The graph will represent the x axis as number of games played.
The graph will represent the y axis as points earned.
Substitute the value x = 0 in the equation -
y = -3.5(0) + 50
y = 50
The coordinate point is (0,50).
Substitute the value y = 0 in the equation -
0 = -3.5x + 50
-50 = -3.5x
x = 14.28
The coordinate point is (14.28,0).
Plot both the coordinate points and join the line.
Therefore, the graph is plotted for the linear equation.
To learn more about linear equation from the given link
https://brainly.com/question/2226590
#SPJ1
what is the Y intercept of function g if g(x)=2f(x)+1? a. 0,3 b.0,2 c 0,1 d 0,-1
Answer:
d
Step-by-step explanation:
The y- intercept is where the graph crosses the y- axis
The graph crosses the y- axis at (0, 1 ) ← y- intercept
Prove: triangle BAD is congruent to triangle CDA
Step
Statement
Reason
BD AC
BA= DC
Given
2
ZBEA UCED
Vertical angles are congruent
3
ZBEC ZAED
Vertical angles are congruent
4
AC - AC
Reflexive Property
5
BD BD
Reflexive Property
try
Type of Statement
B
с
A
hope you will like it
PLEASE HELP ME
Sophie deposited money into an account in which interest is compounded
semiannually at a rate of 2.2%. She made no other deposits or withdrawals and the
total amount in her account after 13 years was $22,099.87. How much did she
deposit? Round answer to nearest whole number. Do not include units in the
answer. Be sure to attach your work for credit.
By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.
What is compound interest?Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).
According to given information:We can use the formula for compound interest to solve this problem. The formula is:
\(A = P(1 + r/n)^{(nt)\)
Where:
A = the total amount in the account
P = the principal (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
We know the values for A, r, n, and t, so we can solve for P:
\(A = P(1 + r/n)^{(nt)\)
\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)
\(22,099.87 = P(1.011)^{26\)
22,099.87 = 1.329P
P = 22,099.87 / 1.329
P = 16,637.55
Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.
To know more about compound interest visit:
https://brainly.com/question/3989769
#SPJ1
does anyone know algebra? if so, I can really use your help.
Answer:
yea sure
Step-by-step explanation:
In a survey, people were asked whether they like baseball or whether they like hockey. Here are the results: Likes hockey Doesn’t like hockey Likes baseball 12 18 Doesn’t like baseball 14 6 What value is missing to convert the two-way table to a two-way relative frequency table? Likes hockey Doesn’t like hockey Likes baseball 0.24 0.36 Doesn’t like baseball 0.28
The missing value 'x' in the two-way relative frequency table is 0.36.
To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.
Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.
First, let's calculate the relative frequencies for each category:
Likes hockey: The total count in this row is 12 + 18 = 30.
Relative frequency of "Likes hockey" = 12/30 = 0.4
Relative frequency of "Doesn't like hockey" = 18/30 = 0.6
Likes baseball: The total count in this column is 12 + 14 = 26.
Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615
Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385
To ensure that the relative frequencies add up to 1, we can set up the following equations:
0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)
0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)
Simplifying the equations, we have:
x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36
For more such questions on relative frequency
https://brainly.com/question/27562468
#SPJ8