The path consists of 4 line segments. Each line segment is the hypotenuse of a different right triangle.
length of line segment AB = \(\sqrt{2^{2}+5^{2} } =\sqrt{29} =5.39cm\)
length of line segment BC = \(\sqrt{3^{2}+4^{2} } =\sqrt{25} =5cm\)
length of line segment CD = \(\sqrt{3^{2}+5^{2} } =\sqrt{34} =5.83cm\)
length of line segment DE \(=\sqrt{2.5^{2}+3^{2} } } =\sqrt{15.25} =3.91cm\)
The total length of the spider's path is about 20.13 cm.
wich equation represents a line which is parallel to the line y=-4/7x-4
Answer:
D
Step-by-step explanation:
A parallel function is a function that has the same slope as the original with a different y-intercept.
a. Lest convert it into slope intercept form to see if the slope is the same
1. 7x+4y=32
2. 4y=-7x+32
3. y=-7/4x+8
its not, so onto option b!
b. We see that the positive becomes a negative but the numbers stay the same, so the slope would be 4/7x, which isnt what we need
c. The slope would be a form of 7/4 which isn't what we want
d. We know this is correct due to process of elimination, but let's work it through
1. 7y = -4x-14
2.y=-4/7x-2
Slopes match!
Y intercepts are different!
Thus the answer is D
What is the three-period weighted moving average for july using the weights 0.5 (most recent), 0.3, and 0.2?
The three-period weighted moving average for july is 145.4.
What is Weighted Moving Average?A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.
When evaluating the movable average estimate of such an observation, each observation is usually weighted the same way. In some cases, it is advantageous to assign different weights to the observations so that the observation closest to the forecasted time period has a higher weight. This is known as the weighted moving average method. In such a weighted moving average technique, the sum of the individual weights must equal 1.Now, according to the question;
The weighted moving average strategy forecast for month of July is given by:
= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)
= (0.5 * 148) + (0.3 * 142) + (0.2* 144)
= 145.4
Therefore, the three-period weighted moving average for july is 145.4.
To know more about the Weighted Moving Average, here
https://brainly.com/question/19260285
#SPJ4
The complete question is -
13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?
Period Value
1 - 138 (march)
2 - 142 (april)
3 - 148 (may)
4 - 144 (june)
what’s the answer to this???
Answer:
5+6-8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Identify two points and solve for y=mx+b
I saw points (1,9) and (8,7)
m=(7-9)/(8-1)=-2/7 so
y=-2x/7+b, using point (1,9) we can solve for b
9=-2(1)/7+b, b=65/7,
y=(-2x+65)/7
Find the common ratio of the geometric sequence 11, -55, 275,...
Answer:
-5
Step-by-step explanation:
11 x -5 = -55
-55 x -5 = 275
Answer:
i'm also trying to do this problem from delta math
Step-by-step explanation:
An online company charges $13 per month for the
basic plan. They offer premium channels for an additional
$8 per month.
a. Write an equation in slope-intercept form for the total cost c
of the basic plan with p premium channels in one month.
b. Graph the function.
c. What would the monthly cost be for a basic plan plus 3
premium channels?
Answer:
37
Step-by-step explanation:
13 + (8 x 3) = 37
9 out of the 10 people in a company meeting were managers. What percentage of the
meeting attendees were managers?
Answer:
90%
Step-by-step explanation:
Hope this helped!
Suppose you borrowed $16,000 at a rate of 9.0% and must repay it in 4 equal installments at the end of each of the next 4 years. How large would your payments be? Show your calculation 2. Suppose you borrowed $11,000 at a rate of 11.2% and must repay it in 5 equal installments at the end of each of the next 5 years. How much interest would you have to pay in the first year? Show your calculation
1. Using the formula of present value, the amount of the payment is $5000.
2. The interest to be paid in the first year is $1232
How large would the payments be?1. To calculate the size of the payments for the loan of $16,000 at a rate of 9.0% to be repaid in 4 equal installments, we can use the formula for the equal periodic payment amount on an installment loan. The formula is given by:
Payment = Loan Amount / Present Value Factor
Where the Present Value Factor can be calculated using the formula:
Present Value Factor = (1 - (1 + interest rate)^(-number of periods)) / interest rate
Let's calculate the size of the payments:
Interest Rate = 9.0% = 0.09
Number of Periods = 4
Present Value Factor = (1 - (1 + 0.09)⁻⁴) / 0.09
Present Value Factor = 3.2
Payment = $16,000 / 3.2 = $5000
The payment is $5000
Therefore, the size of the payments would be approximately $4,935.77.
2. Let's find the interest of the first payment;
The interest component of the first payment can be calculated as:
Interest = Loan Amount * Interest Rate
Let's calculate the interest payment:
Loan Amount = $11,000
Interest Rate = 11.2% = 0.112
Interest = $11,000 * 0.112
Interest = $1,232
Therefore, the interest to be paid in the first year would be $1,232.
Learn more on interest here;
https://brainly.com/question/20690803
#SPJ1
i need help!! thank you in advance
The table shows three functions and their output values for different values of x. Which equation represents h(x)? h(x) = (f(x))(g(x)) h(x) = f(x) – g(x) h(x) = f(x) + g(x)
The equation that represents h(x) is h(x) = (f(x))(g(x)).
To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).
Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).
Let's examine the table and compare the values:
x | f(x) | g(x) | h(x)
1 | 3 | 4 | 12
2 | 5 | 2 | 10
3 | 2 | 6 | 12
From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).
For more such questions on equation
https://brainly.com/question/17145398
#SPJ8
Answer:
It's B.
Step-by-step explanation:
Edge 2020.
order the numbers from least to greatest. -1/20, -5/8, 0, -1, -3/4
Answer:
-1, -3/4, -5/8, -1/20, 0
Step-by-step explanation:
A board 65 inches long is sawed into two pieces. One of the pieces in 7 inches shorter than twice the length of the other piece. Find the length of the two pieces.
Answer:
24 and 41 inches.
Step-by-step explanation:
Let the lengths of the two pieces be a and b.
The total length of the two-piece should be the length of the original board.
Therefore:
a + b = 65
One piece, say b, is 7 inches shorter than twice the length of the other, a.
Therefore, we can write the following equation:
b = 2a - 7
The “2a” represents the twice, and the “-7” represents the 7 shorter inches.
We now have a system of equations:
a + b = 65
b = 2a - 7
We can solve using substitution. Substitute the second equation with the first. Hence:
a + (2a - 7) = 65
Combine like terms:
3a - 7 = 65
Add 7 to both sides:
3a = 72
Divide both sides by 3:
a = 24
So, the shorter piece is 24 inches.
Then, we can use our second equation again:
b = 2a - 7
Since we now know a substitute 24 for a and evaluate. Hence:
b = 2(24) - 7
= 48 - 7
= 41
Therefore, the length of the other two pieces is 24 and 41 inches.
Equation P equal 4s gives the perimeter p of a square mouse pad with a side length of s inches
HW Slide 2
Which angle relationship is the only one that is supplementary?
If Angles 1 and 4 are alternate exterior and m<1-85. What is the
measure of angle 4?
If Angles 1 and 5 are consecutive interior and m<1-43 what is the
measure of angle 5?
The angle relationships that is supplementary is angle 1 and angle 5.
What are supplementary angles?Supplementary angles are those angles that sum up to 180 degrees.
In other words, supplementary angles refer to the pair of angles that always sum up to 180°.
Alternate exterior angles are congruent to each other.
Therefore, ∠1 and ∠4 are not supplementary angles.
Hence,
m∠4 =m∠1
m∠4 = 85°
Consecutive interior angles are supplementary. That is they sum up to 180 degrees.
m∠1 = 43°
m∠5 = 180 - 43
m∠5 = 137°
Therefore, ∠1 and ∠5 are supplementary angles.
learn more on supplementary angles here: https://brainly.com/question/26707986
#SPJ1
The bipartisan campaign reform act of 2002 is more commonly called the __________. a. mccain-feingold act b. citizens united act c. obama-clinton act d. campaign limits act
The bipartisan campaign reform act of 2002 is more commonly called the McCain-Feingold Act.
The Bipartisan Campaign Reform Act (BCRA) of 2002, also known as the McCain-Feingold Act, is a piece of legislation enacted by the United States Congress on March 27, 2002, that amended the Federal Election Campaign Act of 1971 (FECA). The law was developed to restrict soft money, which is money raised by political parties that is not designated for a specific candidate and therefore avoids federal contribution restrictions. The Bipartisan Campaign Reform Act (BCRA), also known as the McCain-Feingold Act, was a US law that was enacted in 2002.
Know more about Bipartisan Campaign Reform here:
https://brainly.com/question/31831723
#SPJ11
Answer: A.McCain-Feingold Act
Step-by-step explanation:
When multiplying 32 and 8, _____.
when we multiply 8 x 2, we will add drop down the 6
when we multiply 8 by 3, we will add 1
both of these are correct
neither of these are correct
Both of these are correct. When multiplying 32 and 8, we should follow these steps:
Multiply 8 by 2, which is the last digit of 32. This gives us 16.Drop down the 6 and carry the 1.Multiply 8 by 3, which is the second to last digit of 32. This gives us 24.Add the 1 that we carried from the previous step to 24, which gives us 25.Drop down the 5 and carry the 2.Since there are no more digits in 32 to multiply, we can drop down the 2 that we carried.The final answer is 256.So, the correct answer is 256.
Here is the multiplication shown step-by-step:
32
8
16 --> drop down 6 and carry the 1
1
32
8
6
24- --> drop down the 4 and add 1; carry the 2
56
2
32
8
6
5 -
2 - - --> drop down the 2 since no more digits available to multiply
256 --> the answer
Learn more about Multiplication here: brainly.com/question/620034
#SPJ11
when is it best to use the graphing method to solve a system of equations????
Answer:
graphing by hand it probably can help or you could do it your way if u want
help for brainliest plsssssssssssssssssssssssssssssssssss
Answer:
32 canned goods per tub. There was one can left over.
Step-by-step explanation:
Answer:
32 in each tub with 1 left over I'm pretty sure
Step-by-step explanation:
think about how many times 5 can 161, then see what the number left over is. In this case, 5 can go into 161, 32 times with 1 left over
Jackson´s Bakery sold 102 ice cream cakes and 68 fruit tarts in one weekend. Ice cream cakes are $27 and fruit tarts are $15. How much did Jackson's Bakery make in one weekend
Answer:
$3, 774
Step-by-step explanation:
102 ice cream cakes, and 68 fruits tarts
One cream cake is $27 and a fruit tart is $15
Meaning, from ice cream cakes, they made 102($27) = $2754
From fruits tarts, they made 68($15) = $1020
regression analysis was applied and the least squares regression line was found to be ŷ = 800 3x. what would the residual be for an observed value of (5, 811)?
a. -4
b. 4
c. 811
d. 815
The residual for the observed value (5, 811) is -4. The correct answer is (a) -4.
To find the residual for an observed value, we need to compare the observed value with the predicted value based on the least squares regression line.
The least squares regression line is given by the equation ŷ = 800 + 3x, where ŷ represents the predicted value of the dependent variable y, and x represents the independent variable.
For the observed value (5, 811), the x-value is 5, and the y-value is 811. We can substitute the x-value into the equation of the regression line to find the predicted value:
ŷ = 800 + 3(5)
= 800 + 15
= 815
The predicted value for the observed value (5, 811) is 815.
The residual is calculated by subtracting the predicted value from the observed value:
Residual = Observed value - Predicted value
= 811 - 815
= -4
Learn more about regression line at: brainly.com/question/29753986
#SPJ11
Let's explore the intersection of statistics and mechatronics. Here we estimate the probability of rolling doubles with two dice ("doubles" is defined here as the event where both dice result in the same value on a particular roll). Using your Arduino, write a script that runs through a loop 10,000 times in which random numbers are generated representing each dice and a count is kept of how many times doubles appear. After completing the 10,000 dice rolls, print out the final percentage of rolls that are doubles to the Serial Monitor. Your script should run this process only one time when power is applied to the Arduino, i.e. your script should only provide a single percentage value when power is applied.
The program calculates the percentage of doubles and displays the result in the Serial Monitor when power is applied to the Arduino.
To write a script that runs through a loop 10,000 times to estimate the probability of rolling doubles with two dice using Arduino, one can follow the below steps:
Define variables and initialize the random seed.
The variables required are `dice1`, `dice2`, `count`, `total`, and `percentage`.The `randomSeed()` function is used to initialize the random number generator.
In the `setup()` function, the function `Serial.begin()` is used to initiate the Serial Monitor with a baud rate of 9600.```
int dice1, dice2, count = 0, total = 0;
float percentage = 0.0;
void setup() {
Serial.begin(9600);
randomSeed(analogRead(0));
}
The `for` loop runs for 10,000 times and generates random numbers between 1 and 6, representing each dice.```
for (int i = 1; i <= 10000; i++) {
dice1 = random(1, 7);
dice2 = random(1, 7);
If both dice have the same number, increment the count by 1.```
if (dice1 == dice2) {
count++;
Add 1 to the total irrespective of whether it's a double or not.```total++;
}
After the loop, calculate the percentage of doubles and print the result to the Serial Monitor.
percentage = (count / float(total)) * 100;
Serial.print("Percentage of doubles: ");
Serial.print(percentage);
Serial.println("%");
The final program would look like this:```int dice1, dice2, count = 0, total = 0;
float percentage = 0.0;
void setup() {
Serial.begin(9600);
randomSeed(analogRead(0));
}
void loop() {
for (int i = 1; i <= 10000; i++) {
dice1 = random(1, 7);
dice2 = random(1, 7);
if (dice1 == dice2) {
count++;
}
total++;
}
percentage = (count / float(total)) * 100;
Serial.print("Percentage of doubles: ");
Serial.print(percentage);
Serial.println("%");
while (true) {}
}
The `while (true)` loop at the end is used to keep the program running and displaying the result in the Serial Monitor.
For more related questions on Serial Monitor:
https://brainly.com/question/30888506
#SPJ8
I need help with my imagine math
Answer:
The answer is
Step-by-step explanation:
Similar : 2yd - 8yd, 6yd - 18yd
Not similar - Shape : 18yd - 6yd
Not similar - Ratio : 6yd - 3yd, 9yd - 18yd, 3yd - 1yd
Consider the following sets A={a,b,c,d},B={e,f},C={a,b,c,d,e,f}. (i) Let D be a set that is a subset of A∩B∩C with the most elements. What are the elements or D ? (ii) Let E be a set that is a subset of A∪B∪C with the fewest elements. What are the elements of E ?
(i) The set D, which is a subset of A∩B∩C with the most elements, is the empty set, represented by { }.
(ii) The set E, which is a subset of A∪B∪C with the fewest elements, is the empty set, represented by { }.
(i)The set D that is a subset of A∩B∩C with the most elements is { }.
First, let's find the intersection of sets A, B, and C:
A∩B = { }
A∩C = {a, b, c, d}
B∩C = {e, f}
A∩B∩C = { } (empty set)
Since the empty set has no elements, it is the subset of A∩B∩C with the most elements, which is none.
(ii) The set E that is a subset of A∪B∪C with the fewest elements is { }.
To find the subset of A∪B∪C with the fewest elements, we need to consider the smallest possible combination of elements.
A∪B∪C includes all the elements from sets A, B, and C:
A∪B∪C = {a, b, c, d, e, f}
The subset with the fewest elements is the empty set, represented by { }, as it contains no elements.
To read more about subset, visit:
https://brainly.com/question/13265691
#SPJ11
A science textbook is 2/3 of an inch thick if i need 16 textbooks stacked
Answer:
32/3 is the answer and please write it easy
Step-by-step explanation:
Samantha is painting her house. There are a total of 2,261 square feet of surface are to be painted. If she can paint 75 square feet of surface area per hour, which equation would represent A, the surface area of the wall left to paint after Samantha has painted for t hours?
A- A= 75 - 2,261 t
B- A= 2,261 + 75t
C- A= 2,261 - 75t
D- A= 75 + 2,261t
Pleaseeeee help meeeeee I need this
Answer:
c
Step-by-step explanation:
the equation would be C because
A would end up with a negative amount
B is more than she originally has to paint and
D has the wrong coefficient for t.
Answer:
c
Step-by-step explanation:
Stacy was sitting in a seat at a football game when another ticket holder told her she was in the wrong seat. The other ticket holder politely told Stacy she needed to go 2 rows up and 4 seats to the left. Which rule describes the translation needed to put Stacy in the correct seat?
1. (x, y)--->(x – 4, y + 2)
2. (x, y)--->(x – 2, y + 4)
3. (x, y)--->(x + 4, y – 2)
4. (x, y)--->(x + 2, y – 4)
Answer:
1
Step-by-step explanation:
So it has to be positive 2 because its going up not down and its going left making it negative 4 and up is the y value and left is the x value
Pleasee help me, I might give brainliest to the best answer. I urgently need a answer
Answer:
1<1.35<2
Step-by-step explanation:
Answer:
1.35 is closer to 1 than 2
So the bag of nuts weighed about 1 pound.
Step-by-step explanation:
The decimal is closer to the whole number 1 when plotted on a number line, so it rounds to 1.
how many 1/4 cup servings of sugar are in a container that has 7/12 of a cup
Answer:
7/3
Step-by-step explanation:
12 divided by 4 is 3
7 divided by 1 is 7
7/12 divided by 1/4 = 7/3
Show that 4 1/5 times 2 3/7 = 10 1/5
Answer:
4 1/5= 21/5
2 3/7= 17/7
21/5×17/7= 357/35
357/35= 10 1/5
Step-by-step explanation:
Identify the terms, like terms, coefficients, and constants in each expression.
1. 2 + 3a + 9a
2. 7 - 5x + 1
Answer:
1. terms = 2, 3a, 9a ; like terms = 3a, 9a ; coefficients = 3, 9 ; constants = 2
2. terms = 7, -5x, 1 ; like terms = 7, 1 ; coefficients = -5 ; constants = 7, 1
The value of a Van Gogh painting increases by 7.3% each year. If it was valued at $94,000 in 1952, what will be its estimated worth in 2020?
Answer:
$11,321,630
Step-by-step explanation:
We solve using Exponential growth formula
A(t) = Ao (1 + r)^t
Ao = Initial worth = $94,000
r = Growth rate = 7.3% = 0.073
t = Time in years = 2020 - 1952
= 68 years
A(t) = Current worth in 2020 = After 68 years
A(t) = 94000 × ( 1 + 0.073)^68
A(t) = 94000 × 120.44286946
A(t) = 11,321,629.729
Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630