Answers
Answer:
1) 25/3
2) 36
3) 24√2
4) 36
5) 25
6) 26
7) 16√5
8) 75
Step-by-step explanation:
steps are in the picture
Related Questions
Stephanie and her sister went to the store together. After the store, stephanie walked 8 blocks west to get a coffee and her sister walked 2 blocks west back to work. How many blocks is the coffee shop that stephanie went to from her sister's work?.
Answers
Stephanie walked 6 more blocks to the coffee shop from her sister's work place.
What is subtraction?Finding the difference between two numbers is done using the subtraction technique. If you have an object group and remove a couple of them, the object group gets smaller. For example, suppose you purchased 9 cupcakes for your birthday party and your guests consumed 7 cupcakes. You're now down to two cupcakes. This can be expressed as a reduction formula: 9 - 7 = 2, which means "nine less seven equals two." The result of subtracting 7 from 9 is 2, or (9 - 7) Here, we divided two numbers, 9, and 7, by one another to get the difference of 2.
How to solve?
total number of blocks from the store to the coffee shop = 8
number of blocks between store and Stephanie's sister's work = 2
Number of blocks Stephanie has to walk to get coffee from her sister's work = 8 - 2 = 6
To learn more about subtraction, visit:
https://brainly.com/question/2346316
#SPJ4
2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (−1,−1) and (1,3)
A.The rate of change is −1/2.
B.The rate of change is 2.
C.The rate of change is 1/2.
D.The rate of change is −2.
3.The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate of change of the function at 3 hours using the points (0,0) and (5,10)
A.The rate of change is −1/2 of an inch per hour.
B.The rate of change is 1/2 of an inch per hour.
C.The rate of change is 2 inches per hour.
D.The rate of change is −2 inches per hour.
4.The following graph shows the average temperatures in degrees Fahrenheit (°F) over the days of a month. Use the graph to estimate the rate of change of the function at the ninth day of the month using the points (2,55) and (10,65)
A.The rate of change is 0.8 degrees Fahrenheit per day.
B.The rate of change is 1.25 degrees Fahrenheit per day.
C.The rate of change is −0.8 degrees Fahrenheit per day.
D.The rate of change is −1.25 degrees Fahrenheit per day.
5.Use the following graph to answer which of the following points would provide the most accurate estimation for the rate of change of the function as it crosses the y-axis. Explain.
(−0.5, 2)
(0.5, 3)
(−0.5, 3)
(0.5, 1)
A.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.
B.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.
C.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.
D.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.
Answers
Answer:
2. B. The rate of change is 2
3. C. The rate of change is 2 inches per hour
4. B. The rate of change is 1.25 degrees Fahrenheit per day
5. (-0.5, 3) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0
Step-by-step explanation:
2. Using the points (-1, -1) and the (1, 3) we have;
The rate of change = (Change in the y-values)/(Corresponding change in the x-values)
The rate of change = (3 - (-1))/(1 - (-1)) = 4/2 = 2
The rate of change is 2
3. Using the points (0, 0) and the (5, 10) we have;
The rate of change = (Change in the y-values)/(Corresponding change in the x-values)
Given that the function is a linear function, the rate of change of the function at 3 hours is given by the slope, m, as follows;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Where;
(x₁, y₁) = (0, 0)
(x₂, y₂) = (5, 10)
The y-coordinate being the inches of snow, and the x-coordinate being the time in hours, we have;
The rate of change = (10 - 0)/(5 - 0) = 10/5 = 2
The rate of change is 2 inches per hour
4. Given that the function is a linear function, the rate of change of the function at ninth day is given by the slope, m, as follows;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Where;
(x₁, y₁) = (2, 55)
(x₂, y₂) = (10, 65)
The y-coordinate being the temperature in degrees, and the x-coordinate being the time in days, we have;
\(Slope, \, m =\dfrac{65-55}{10-2} = \dfrac{10}{8} = 1.25\)
The rate of change is 1.25 degrees Fahrenheit per day
5. The points on the graph of the function that come before and after the point where the graph of the function crosses y-axis (the y-intercept) and are close to point are (-0.5, 2) and (0.5, 3)
Therefore, (-0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0.
PLEASE HELP
What is the area, in square meters, of the shaded part of the rectangle below?
5 m
16 m
20 m
Answers
Answer:
Area = 210m^2
Step-by-step explanation:
If you turn your shape sideways, you can see you have a trapezoid.
Area of a trapezoid is Average Parallel sides × height. That is:
Area
= (base+base)/2 ×h
The two measures are given for the bases, 5 and 16. The height is also given.
see image.
A = (5+16)/2 • 20
= 210
Area is 210m^2.
Please help with this
Answers
Answer:
see attached
Step-by-step explanation:
A quadratic relation is a polynomial relation that has a highest degree of 2. Its graph is ⋃-shaped (or ⋂-shaped). That is, it decreases, then increases, or vice-versa.
__
To identify the quadratic relations, you check to see which of them matches the description above.
(a)The highest degrees, left to right, are 1, 3, 2. The right-most equation is a quadratic relation
(b)The left-most graph is ⋃-shaped, so represents a quadratic relation.
(c)The y-values in the left table decrease, then increase, suggesting a quadratic relation. (Those in the right table continue to decrease at a constant rate, which represents a linear relation.)
Which of the following best describes the expression 9(x + 7)? (20 brainly points)
A: The sum of constant factors 9 and x + 7
B: The product of constant factors 9 and x + 7
C: The product of a constant factor 9 and a 2-term factor x + 7
D: The sum of a constant factor 9 and a 2-term factor x + 7
Answers
The statement that express 9(x + 7) is product of constant factors 9 and x + 7. The Option B.
What does the expression 9(x + 7) represent?The expression 9(x + 7) represents the product of constant factors 9 and x + 7. To evaluate the expression, you would distribute the 9 to both terms inside the parentheses, resulting in 9x + 63.
This expression can also be written as a 2-term factor of 9 and x + 7. It is important to understand the different terms and factors in an expression to simplify and solve equations.
Read more about product
brainly.com/question/13152087
#SPJ1
what is the mean? No working out needed, just an honest answer please.
Answers
Answer:
2.333333..... (2.3 repeating)
On its municipal website, the city of Tulsa states that the rate it charges per 5 CCF of residential water is $21.62. How do the residential water rates of other U.S. public utilities compare to Tulsa's rate? The data shown below ($) contains the rate per 5 CCF of residential water for 42 randomly selected U.S. cities.10.38 9.08 11.7 6.4 12.32 14.43 15.4610.02 14.4 16.08 17.5 19.08 17.88 12.7516.7 17.25 15.54 14.7 18.81 17.89 14.818.32 15.95 26.75 22.22 22.66 20.88 23.3518.95 23.6 19.16 23.65 27.7 26.95 27.0426.89 24.58 37.76 26.41 38.91 29.36 41.55(a)Formulate hypotheses that can be used to determine whether the population mean rate per 5 CCF of residential water charged by U.S. public utilities differs from the $21.62 rate charged by Tulsa. (Enter != for ≠ as needed.)H0:Ha:(b)What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)(c)At α = 0.05, can your null hypothesis be rejected? What is your conclusion?Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.(d)Repeat the preceding hypothesis test using the critical value approach.State the null and alternative hypotheses. (Enter != for ≠ as needed.)H0:Ha:Find the value of the test statistic. (Round your answer to three decimal places.)State the critical values for the rejection rule. Useα = 0.05.(Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)test statistic≤test statistic≥State your conclusion.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Do not reject H0. The mean rate per 5 CCF of residential water throughout the United States does not differ significantly from the rate per 5 CCF of residential water in Tulsa.Reject H0. The mean rate per 5 CCF of residential water throughout the United States differs significantly from the rate per 5 CCF of residential water in Tulsa.
Answers
The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .
The charge at which anything happens is referred to as the velocity at which it happens.
The required details for mean rate :
(a) H0: µ = 21.62
Ha: µ ≠ 21.62
(b) t = -1.231
p-value = 0.2253
(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.
(d) H0: µ = 21.62
Ha: µ ≠ 21.62
t = -1.231
check statistic ≥ 2.020
Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.
The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.
The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.
The crucial values for t at this level of significance are t=2.019.
Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.
to learn more about null hypothesis visit:
https://brainly.com/question/16261813
#SPJ4
if the mean of the nails is 8.9 and the standard deviation is 5.56 what is the probability that a bag of 225 nails would be more than 2100?
Answers
The probability of getting a z-score greater than 0.15 is approximately 0.5693.
The probability of getting more than 2100 nails in a bag is approximately 0.5693.
The number of nails in a bag is a discrete random variable, so it's not appropriate to use a normal distribution to model it.
Also, the mean of 8.9 and standard deviation of 5.56 are for a single nail, not for a bag of 225 nails.
To answer the question, we need more information on the distribution of the number of nails in a bag.
Assuming that the distribution is approximately normal, the mean of the number of nails in a bag would be 225 * 8.9 = 2009 and the standard deviation would be the square root of 225 * (5.56)^2 = 59.11.
With these values, we can use a standard normal distribution to find the probability of getting more than 2100 nails in a bag:
z = (2100 - 2009) / 59.11 = 0.15
Note: This calculation assumes that the distribution is approximately normal, and that the mean and standard deviation of a single nail are accurate. These assumptions might not hold in practice, so the answer should be taken with caution.
For more questions on probability
https://brainly.com/question/28185528
#SPJ4
27. Henley's take home pay is $3,300 each month. Henley wants to make a budget for herself and has decided what percent of her income should go towards each part of her budget. Complete the budget by writing the actual dollar amounts in the blank row of the table.
Answers
In this context, we will explore the benefit and step of budgeting on home pay. By creating a budget and sticking to it, She (Henley) can ensure that she is effectively managing her income and achieving her financial goals.
How can Henley budget her pay?1. Allocation percentage: There is need to determine the percentage of her income that she wants to allocate to each part of her budget. For example, she may decide to allocate 50% of her income to living expenses, 20% to savings, 15% to transportation, and 15% to entertainment.2. Expenses priority: She should prioritize her expenses by listing them in order of importance. This will help her to ensure that she covers her essential expenses first before allocating funds to discretionary items.3. Spending tracking: She needs to track her spending and adjust her budget as needed. Henley should regularly review her spending to ensure that she is sticking to her budget and adjust it as necessary based on changes in her income or expenses.Read more about budget
brainly.com/question/6663636
#SPJ1
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Answers
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
Learn more about word problems at https://brainly.com/question/21405634
#SPJ1
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?
Antonio’s Distance Past the Landmark
Time (seconds)
8
12
16
20
24
Distance (meters)
29
41
53
65
77
A graph titled Candice's Distance Past the Landmark has time (seconds) on the x-axis, and Distance (meters) on the y-axis. A line goes through points (5, 22), (10, 42), (15, 62) and (20, 82).
Antonio had a head start of 1 meter.
Antonio had a head start of 3 meters.
Candice had a head start of 1 meter.
Candice had a head start of 3 meters.
Mark this and return
Answers
Answer:it c
Step-by-step explanation:
I took the test
which scatterplot has a correlation coefficient close to 0 but also has a strong relationship between the variables?
Answers
A scatterplot with a strong nonlinear relationship can have a correlation coefficient close to 0, but still have a strong relationship between the variables.
For example, consider a scatterplot where the points follow a curved pattern, such as a parabola or a sine wave. In such a case, the correlation coefficient may be close to 0, indicating no linear relationship between the variables, but there is still a strong nonlinear relationship between them.
In general, it is important to consider the shape and pattern of the scatterplot, in addition to the correlation coefficient, when assessing the relationship between two variables. A scatterplot with a weak correlation coefficient and a random scatter of points may indicate no relationship, while a scatterplot with a strong nonlinear pattern may indicate a strong relationship, even if the correlation coefficient is close to 0.
Learn more about scatterplot here:
https://brainly.com/question/29366075
#SPJ11
A teacher asks four students to solve the expression (-6) – 9. The table shows each student's response
Student
Francesco
Gemma
Hugo
Ingrid
Response
-3
-15
3
15
Which student is correct?
Francesco
O Gemma
Hugo
Ingrid
Answers
Answer:-15 is correct
Step-by-step explanation:
(-6)-9 is the same as -6-9 since parenthesis aren’t really needed in thins case and if you use the order of operations you go left to right. So, -6-9=-15 because a negative- a negative= a negative.
Please help!!!: pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of
cheese, and 10 different toppings. how many different types of pizzas can be made with one
of each choice? how many pizzas can be made at pizzarific with 3 different toppings?
Answers
The total number of pizzas that can be made if, Pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of cheese, and 10 different toppings is 1080.
What is combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
Pizzarific pizza parlor has 3 different sizes, 4 choices of crust, 3 choices of sauce, 3 choices of cheese, and 10 different toppings,
Calculate the total number of different pizzas as shown below,
The total number of different pizzas = Size × Choice of crust × choice of sauce × choice of cheese × choice of topping
The total number of different pizzas = 3 × 4 × 3 × 3 × 10
The total number of different pizzas = 1080,
Thus, the number of different pizzas is 1080.
To know more about the combination:
https://brainly.com/question/29594894
#SPJ4
What is the simplest form of the product 3 sqrt 4x^2.
Answers
Answer:
6x
Step-by-step explanation:
\(\sqrt{4x^2}\) = \(\sqrt{4}\) × \(\sqrt{x^2}\) = 2 × x = 2x
Then
3\(\sqrt{4x^2}\)
= 3 × 2x
= 6x
At Panera one bagel costs $0.65. Thirteen bagels cost $7.90. Is the cost of bagels proportional to the number of bagels?
Answers
Answer:
no
Step-by-step explanation:
for[x]=3x[x+5], find f[-2]
Answers
For function represented as "f(x) = 3x(x+5)", the value of f(-2) is -18.
The 'Function" is a rule which assigns unique output value for each input value for given set. A function takes one or more inputs, and produces a "single-output", The "input-values" are called domain, and "output-values" are named as range.
In order to find the value of function at "-2", we substitute x as "-2" in the given function f(x) and then evaluate the expression:
We get,
⇒ f(x) = 3x(x+5),
⇒ f(-2) = 3(-2)(-2+5),
⇒ f(-2) = 3(-2)(3),
⇒ f(-2) = -18,
Therefore, the value of f(-2) is -18.
Learn more about Function here
https://brainly.com/question/27126814
#SPJ1
The given question is incomplete, the complete question is
For the function f(x) = 3x(x+5), find the value of f(-2).
mary spent a total of $322.58 for a party. she spent $200.14 on food, plus an additional $30.61 for each hour of the party. how long was the party?
Answers
Answer: 4 hours
Step-by-step explanation:
322.58 - 200.14 = 122.44
122.44 divided by 30.61 = 4
Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = u2 i + 4u sin vj + u cos vk; u=2,v=0
Answers
The equation of the tangent plane to the given parametric surface at the point (2, 0, 2) is 2x + 8y - z = 6.
To find the equation of the tangent plane, we need to compute the partial derivatives of the parametric surface with respect to u and v and evaluate them at the given point (2, 0, 2).
Taking the partial derivatives, we have:
∂r/∂u = 2ui + 4sin(v)j + cos(v)k
∂r/∂v = u(4cos(v)j - 4sin(v)k)
Substituting u=2 and v=0, we get:
∂r/∂u = 4i + 4j + k
∂r/∂v = 8j
Evaluating these partial derivatives at the point (2, 0, 2), we have:
∂r/∂u = 4i + 4j + k
∂r/∂v = 8j
The normal vector to the tangent plane is the cross product of these two vectors:
n = (∂r/∂u) x (∂r/∂v) = (4i + 4j + k) x 8j = -32i + 32k
Using the point-normal form of the equation of a plane, the equation of the tangent plane is:
-32(x - 2) + 32(z - 2) = 0
-32x + 64 + 32z - 64 = 0
-32x + 32z = 0
2x - z = 0
2x + 0y - z = 0
2x + 0y - z = 0
Simplifying, we get the equation of the tangent plane as 2x - z = 0 or 2x + 0y - z = 0.
To learn more about tangent plane visit: brainly.com/question/14022348
#SPJ11
The equation of the tangent plane to the given parametric surface at the point (2, 0, 2) is 2x + 8y - z = 6.
To find the equation of the tangent plane, we need to compute the partial derivatives of the parametric surface with respect to u and v and evaluate them at the given point (2, 0, 2).
Taking the partial derivatives, we have:
∂r/∂u = 2ui + 4sin(v)j + cos(v)k
∂r/∂v = u(4cos(v)j - 4sin(v)k)
Substituting u=2 and v=0, we get:
∂r/∂u = 4i + 4j + k
∂r/∂v = 8j
Evaluating these partial derivatives at the point (2, 0, 2), we have:
∂r/∂u = 4i + 4j + k
∂r/∂v = 8j
The normal vector to the tangent plane is the cross product of these two vectors:
n = (∂r/∂u) x (∂r/∂v) = (4i + 4j + k) x 8j = -32i + 32k
Using the point-normal form of the equation of a plane, the equation of the tangent plane is:
-32(x - 2) + 32(z - 2) = 0
-32x + 64 + 32z - 64 = 0
-32x + 32z = 0
2x - z = 0
2x + 0y - z = 0
2x + 0y - z = 0
Simplifying, we get the equation of the tangent plane as 2x - z = 0 or 2x + 0y - z = 0.
To learn more about tangent plane visit: brainly.com/question/14022348
#SPJ11
In ⊙E, what is AC?
in need of answers
Answers
Answer:
d
Step-by-step explanation:
i looked up the answers
The length of AC is 6.4 unit.
The correct option is C.
We have the figure from which we can say that
BD is the diameter which is
= 4.8 + 1.6
= 6.4 unit long.
Now, AC is the chord.
As, the distance between the two opposite point the the surface of circle would be same.
Then, the length of AC = length of BD
Thus, the length of AC is 6.4 unit.
Learn more about Circle here:
https://brainly.com/question/29142813
#SPJ2
If x = 14, what value of y is a solution to this equation?
A. -7
B. -8
C. -10
D. -30
Answers
Answer:
Step-by-step explanation:
its c for sure i got it right on a test
The value of y is -8.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
From the graph,
Two coordinates are (-2, 0) and (2, -2)
m = (-2 - 0) / (2 + 2) = -2/4 = -1/2
Now,
The equation of a line is y = mx + c.
(-2, 0) = (x, y)
y = mx + c
0 = (-1/2)(-2) + c
0 = 1 + c
c = -1
Now,
y = (-1/2)x - 1
Substitute x = 14.
y = (-1/2) x 14 - 1
y = -7 - 1
y = -8
Thus,
The value of y is -8.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
how many four-letter words can be formed using the letters of the word finite? a. 240 b. 360 c. 48 d. 600
Answers
There are 360 ways for a four-letter words that can be formed using the letters of the word finite. So, correct option is B.
To find the number of four-letter words that can be formed using the letters of the word "finite," we can use the permutation formula, which is:
nPr = n! / (n-r)!
where n is the total number of items to choose from, and r is the number of items to choose. In this case, we have 6 letters to choose from (n=6), and we want to choose 4 letters (r=4).
Therefore, the number of four-letter words that can be formed is:
6P₄ = 6! / (6-4)!
= 6! / 2!
= (6 x 5 x 4 x 3 x 2 x 1) / (2 x 1)
= 720 / 2
= 360
Therefore, the answer is 360, which corresponds to option B.
In summary, there are 360 four-letter words that can be formed using the letters of the word "finite," by using the permutation formula to calculate the number of possible arrangements of the 6 letters taken 4 at a time.
So, correct option is B.
To learn more about combination click on,
https://brainly.com/question/31539717
#SPJ4
solve by elimination
Explain the process and solve for x first
3x+2y+=10 ; 2x-5y=3
Answers
Using the elimination method, we now know that the value of x and y are 170 and 11/19 respectively.
What is the elimination method?Elimination is the process of eliminating one of the variables in a system of linear equations using methods of addition or subtraction in combination with multiplication or division of the variables' coefficients.
So, using the elimination method:
3x+2y=10
2x-5y=3
Next step:
6(3x+2y=10)
-9(2x-5y=3)
Then,
18x+12y=60
-18x+45y=-27
57y = 33
Then,
y = 33/57
y = 11/19
Now, insert y to get x as follows:
2x-5y=3
2x-5(11/19)=3
2x-55/95 = 3
2x-55 = 95*3
2x-55 = 285
2x = 285+55
2x = 340
x = 170
Therefore, using the elimination method, we now know that the value of x and y are 170 and 11/19 respectively.
Know more about the elimination method here:
https://brainly.com/question/25427192
#SPJ1
PLZZZZ ANSWER!!!!!!!!!
Answers
Answer:
9 i think if not then sorry
Step-by-step explanation:
the grand bakery produces 60 special sourdough rolls every day. any rolls that are not sold each day are given to the employees. they have collected sales data from the past week: day rolls sold 1 50 2 50 3 48 4 60 5 53 6 60 what is the value of f6 if they use a 3-day weighted moving average with w1
Answers
Thus, the value of f6 using a 3-day weighted moving average with w1 is 60.
To calculate the 3-day weighted moving average with w1 for the value of f6, we need to first calculate the weighted average for the past three days.
The formula for weighted moving average is:
WMAt = [(P1 * w1) + (P2 * w2) + (P3 * w3)] / (w1 + w2 + w3)
where:
- WMAt is the weighted moving average for time t
- P1, P2, P3 are the values of the variable for the three time periods being averaged
- w1, w2, w3 are the weights assigned to each period (in this case, w1 = 1 and w2 = w3 = 0)
For the past three days, we have:
- Day 4: 60 rolls sold
- Day 5: 53 rolls sold
- Day 6: 60 rolls sold
Using the formula above with w1 = 1 and w2 = w3 = 0, we get:
WMA6 = [(60 * 1) + (53 * 0) + (60 * 0)] / (1 + 0 + 0) = 60
Therefore, the value of f6 using a 3-day weighted moving average with w1 is 60.
Know more about the weighted moving average
https://brainly.com/question/28495879
#SPJ11
find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 4y + z = 24
Answers
Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.
To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.
First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:
6x + 4(0) + 0 = 24
6x = 24
x = 4
So, the plane intersects the x-axis at (4, 0, 0).
Similarly, to find the y-intercept, we set x = 0 and z = 0:
6(0) + 4y + 0 = 24
4y = 24
y = 6
So, the plane intersects the y-axis at (0, 6, 0).
To find the z-intercept, we set x = 0 and y = 0:
6(0) + 4(0) + z = 24
z = 24
So, the plane intersects the z-axis at (0, 0, 24).
We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).
To find the volume of this tetrahedron, we can use the formula:
Volume = (1/3) * base area * height
The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.
The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.
Plugging these values into the volume formula:
Volume = (1/3) * 12 * 24
= 96 cubic units
To know more about volume of the solid,
https://brainly.com/question/30079268
#SPJ11
A sidewalk has a length of 75.00 m. How many inches is this?
Answers
Answer:
Step-by-step explanation:
A side walk has a length of 75.00 which is 2953 inches ^v^
Which is the solution to the inequality?
y+ 15 < 3
A. Y<-12
B. y > -12
C. y<18
D. y> 18
Answers
Answer:
A. y < -12
Step-by-step explanation:
Step 1: Write inequality
y + 15 < 3
Step 2: Solve for y
Subtract 15 on both sides: y < -12What is the perimeter of this regular pentagon?
Answers
Answer: P= 5 Hope I helped you
Plz help due tomorrow
Answers
Answer:
A is the first step
Step-by-step explanation: