Find the distance between Pizza Hut and McDonald’s round to the nearest 10th if necessary
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The question asks us to find the distance between Pizza Hut and McDonald's.
In order to find this distance, we need to know the coordinates of Pizza Hut and that of McDonald's.
The coordinates are shown below in the picture below:
Coordinates of McDonald's is: (1, 4)
Coordinates of Pizza Hut is: (-4, -3)
In order to find the distance between two points on a coordinate plane, we use the formula:
\(\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ \\ \text{where,} \\ y_2=y-\text{coordinate of McDonald's} \\ y_1=y-\text{coordinate of Pizza Hut} \\ x_2=x-\text{coordinate of McDonald's} \\ x_1=x-\text{coordinate of Pizza Hut} \end{gathered}\)With the above formula, we can proceed to find the Distance between both restaurants.
This is done below:
\(\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ y_2=4,x_2=1 \\ y_1=-3,x_1=-4 \\ \\ \therefore d=\sqrt[]{(4--3)^2+(1--4)^2} \\ d=\sqrt[]{7^2+5^2} \\ d=\sqrt[]{49+25}=\sqrt[]{74} \\ \\ \therefore d=8.6023\approx8.6\text{ (to nearest tenth)} \end{gathered}\)Therefore the distance between Pizza Hut and McDonald's is: 8.6 units
Related Questions
Plzz help as soon as possible
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Answer:
The Inequality is x<2.
Have a great day!!!
please answer ASAP. Thank You.
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Answer:
\((-\infty,-4]\)
Step-by-step explanation:
So we have the inequality:
\(x\leq -4\)
This means that our solution is all numbers less than or equal to -4. Therefore, in interval notation, this is:
\((-\infty,-4]\)
This represents all the numbers from negative infinity up until -4. This is equivalent to the inequality.
Answer:
(-∞, -4]
Step-by-step explanation:
This means all values less than -4 and including -4
It goes from -∞ up to and includes -4
Parentheses for -∞ brackets for -4 since we include it
(-∞, -4]
Find the measure of SMK.
A)36
B)48
C)56
D)66
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The total for which two pet sales is 731
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Answer: 363+368=731
Step-by-step explanation:
What expression is equivalent to ten square root five
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The expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
= 10√5
We can write the above equation:
= √(10×10×5)
Because √(10×10) = 10
= √(100×5)
= √500
Thus, the expression 10√5 can be written as √500 because √(10×10) = 10 option (A) √500 is correct.
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I need to know the distance between points x and y
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Answer:
Step-by-step explanation:
Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.
The revenue generated by a company manufacturing lawn mowers is R= -0.5x^2+91x, where x represents the number of mowers produced. The cost to produce the mowers is C= 38x+300,where x is the number of mowers produced.
Find the profit polynomial (Hint: Profit = Revenue - Cost) that describes the total profit generated by the company manufacturing lawn mowers based on the number of mowers produced.
--------------------------
Give the profit earned if 53 mowers are sold. ------------
add work please
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The profit earned if 53 mowers are sold is $1104.50.
To find the profit polynomial, we need to subtract the cost polynomial from the revenue polynomial:
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = (-0.5x^2 + 91x) - (38x + 300)
P(x) = -0.5x^2 + 53x - 300
So the profit polynomial is P(x) = -0.5x^2 + 53x - 300.
To find the profit earned if 53 mowers are sold, we substitute x = 53 into the profit polynomial:
P(53) = -0.5(53)^2 + 53(53) - 300
P(53) = -0.5(2809) + 2809 - 300
P(53) = -1404.5 + 2509
P(53) = 1104.5
Therefore, the profit earned if 53 mowers are sold is $1104.50.
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Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit the coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts?
Answers
Answer:
The line of best fit
y = 0.633x + 0.561
Step-by-step explanation:
The coordinates that the dart hit include
(–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6)
The x and y coordinates can be written as
x | y
-5|0
1 | -3
4|5
-8|-6
0|2
9|6
So, running the analysis on a spreadsheet application, like excel, the table of parameters is obtained and presented in the first attached image to this solution.
Σxᵢ = sum of all the x variables.
Σyᵢ = sum of all the y variables.
Σxᵢyᵢ = sum of the product of each x variable and its corresponding y variable.
Σxᵢ² = sum of the square of each x variable
Σyᵢ² = sum of the square of each y variable
n = number of variables = 6
The scatter plot and the line of best fit is presented in the second attached image to this solution
Then the regression analysis is then done
Slope; m = [n×Σxᵢyᵢ - (Σxᵢ)×(Σyᵢ)] / [nΣxᵢ² - (∑xi)²]
Intercept b: = [Σyᵢ - m×(Σxᵢ)] / n
Mean of x = (Σxᵢ)/n
Mean of y = (Σyᵢ) / n
Sample correlation coefficient r:
r = [n*Σxᵢyᵢ - (Σxᵢ)(Σyᵢ)] ÷ {√([n*Σxᵢ² - (Σxᵢ)²][n*Σyᵢ² - (Σyᵢ)²])}
And -1 ≤ r ≤ +1
All of these formulas are properly presented in the third attached image to this answer
The table of results; mean of x, mean of y, intercept, slope, regression equation and sample coefficient is presented in the fourth attached image to this answer.
Hope this Helps!!!
Answer:
a. y = 0.6x + 0.6
Step-by-step explanation:
Help
look at the picture
Answers
\(x7 - 2 \: or \: x \leqslant - 3\)
A market research company wishes to know how many energy drinks teenagers drink each week. They want to construct a 80% confidence interval with an error of no more than 0.08. A consultant has informed them that a previous study found the mean to be 7.3 energy drinks per week and found the standard deviation to be 0.7. What is the minimum sample size required to create the specified confidence interval
Answers
Answer: 126 samples
Step-by-step explanation:
Given that :
Standard deviation (σ) = 0.7
Mean (m) = 7.3
Error (E) = 0.08
α = 80%
The sample size n can be obtained using the relation :
n = [(Zcrit * standard deviation) / Error]^2
The Zcritical at 80% = 1.282
Hence,
n = ((1.282 * 0.7) / 0.08)^2
n = (0.8974 / 0.08)^2
n = 11.2175^2
n = 125.83230625
n = 126
Timothy spent $68 at Macys. His purchases included a pair of jeans that cost $32
and two t-shirts that cost the same price as each other. How much was each t-shirt?
They each cost $16.
They each cost $18.
They each cost $16.50.
They each cost $17.25.
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There were 15 ducks on a pond and 5 flew away. How do you write the fraction of the ducks that were left in simplest form?
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Answer:
10/15=2/3
Step-by-step explanation:
Just divide by common multiple! Can I have Brainliest?
can someone help me i will give brainlest
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Answer:
(48, 3), (80, 5), (160, 10)
Simone has 16 square inch tiles she glues all of them on cardboard to make two different rectangles each with the same area what are the side lengths of the two rectangles she can make
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Simone can make two different rectangles with the following side lengths:
Rectangle 1: Length = 16 inches, Width = 1 inch
Rectangle 2: Length = 8 inches, Width = 2 inches
To find the side lengths of the two rectangles that Simone can make using 16 square inch tiles, we need to consider the factors of 16 and check which pairs of factors can form rectangles with the same area.
The factors of 16 are 1, 2, 4, 8, and 16. We can pair these factors to form different rectangles and calculate their areas:
Pairing: 1 and 16
Length: 16
Width: 1
Area: 16 square inches
Pairing: 2 and 8
Length: 8
Width: 2
Area: 16 square inches
Pairing: 4 and 4
Length: 4
Width: 4
Area: 16 square inches
Therefore, Simone can make two different rectangles with the following side lengths:
Rectangle 1: Length = 16 inches, Width = 1 inch
Rectangle 2: Length = 8 inches, Width = 2 inches
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375 is 60% of what number
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Answer:
625
Step-by-step explanation:
60% x x = 375
you would multiply both sides by 100 and divide both sides by 60 so
×=625
Hope this helps!
Harrison has 40 CDs in his music collection if 40% of the CDs are country music and 50% are pop music, how many CDs are other types of music?
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Answer:
4
Step-by-step explanation:
40% of 40= 16
59% of 49= 20
16+20=36
40-36=4
I need help with this
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Answer:
90 degrees
Step-by-step explanation:
Hope thishelps. :) :D
Can you please find and solve the unknown variable.
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The value of x is; x = 3.14
Here, we have,
from the given diagram, we get,
there is a right angle triangle.
we have to find the value of x.
we know that,
Let the angle be θ , such that
cos θ = base / hypotenuse
here, we get,
cos 17 = 3/x
so, we have,
0.956 = 3/x
so, x = 3.14
Hence, The value of x is;x = 3.14
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(X)=x3-22x2+157x-360
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Answer:
Step-by-step explanation:
x1 = x2 = 6
x3 = 10
this is it im pretty sure
Find the measure picture attached
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Answer:
30
Step-by-step explanation:
90 - 60 = 30
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
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Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
4 / 11 please explain how to do the division steps
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Use a calculator 4 divided by 11= 0.36 (2dp)
find the geometric mean of 9 and 14
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Answer:
foće de moçhò de casà là ocoreatane
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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Use scientific notation to find the product of \(7.13 * 10^{-3}\) and 40. Include all of your calculations in your final answer.
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Answer:
The result of the multiplication is \(28.52 \times 10^{-2}\)
Step-by-step explanation:
In scientific notation, 40 can be represented as: \(4 \times 10^1\)
Multiplication:
Multiply the coefficients and the powers. So
Coefficients: \(7.13 \times 4 = 28.52\)
Powers: \(10^{-3} \times 10^1 = 10^{-3+1} = 10^{-2}\)
Multiplication: \(28.52 \times 10^{-2}\)
Connor was given a box of asstorted chocolates for his birthday. Each night, Connor treated himself to some chocolates. There were originally 18 chocolates in the box and after 3 nights, there were 9 chocolates remaining in the box. Write an equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Connor's birthday.
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Answer: 18- 3t
Step-by-step explanation:
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
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The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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Which of the following choices simplifies -(-x+1)?
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we have the following expression
\(-(-x+1)\)we can simplify it as it follows
\(-\mleft(-a+b\mright)=a-b\)then:
\(-\mleft(-x+1\mright)=x-1\)Thus, the solution is option b
What is an inequality to compare the temperatures of Mercury and Mars.
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Answer:
Mercury > Mars
Step-by-step explanation:
Mercury orbits closer to the sun than Mars, so it has a higher surface temperature.
Now that we have our linear regression model, let’s try to make a prediction for the sales given a new set of advertising budgets as follows: new.dat <- data.frame(TV=200, Radio=10, Newspaper=20) You are required to report the predicted sales as well as the lower and upper bound for the 95% prediction interval. What will you report?
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Answer:
The predicted sales for the new set of advertising budgets is 14.
Step-by-step explanation:
The linear regression model is:
\(\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})\)
Compute the value of sales for:
TV = 200,
Radio = 10,
Newspaper = 20
\(\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})\)
\(=2.9389+0.0458\cdot(200)+0.1885\cdot(10)-0.0010\cdot(20)\\=2.9389+9.16+1.885-0.0002\\=13.9837\\\approx 14\)
Thus, the predicted sales for the new set of advertising budgets is 14.