The expression for the length of the line segment with the given coordinates of the end points of the line segment are express as:
\(\text{ Length of Line segment=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)In the given question : We have Endpoints: (7,2) & (-4,2)
Substitute them in the expression of the length of line segment
\(\begin{gathered} (x_1,y_1)=(7,2),(x_2,y_2)=(-4,2) \\ \text{ Length of Line segment=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{ Length of Line segment=}\sqrt[]{(-4-7_{})^2+(2-2)^2} \\ \text{ Length of line segment =}\sqrt[]{(-11)^2+(0)} \\ \text{Length of line segment=}\sqrt[]{121} \\ \text{Length of line segment=11 unit} \end{gathered}\)The length of line segment with end points (7,2) and (-4,2) is 11 unit
Answer: 11 unit
A mirror is the shape of an ellipse defined by y^2/7.29 + x^2/6.25 = 1 with units in feet. Which statement identifies the
orientation of the mirror and its greatest dimension?
Answer:
a (The mirror has a vertical orientation and is 5.4 ft tall.)
Step-by-step explanation:
a on edg 2021 ^u^
Answer: A. The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Since the y^2 value is being added first, and the value in its denominator is greater, we know that the ellipse has a vertical major axis.
Therefore, its orientation is vertical.
The square root of is 7.29, so 2.7 is the distance from the center to one of the ellipse's vertices. (You can research further into the equation for ellipses with vertical major axes to learn why that is.)
Multiply 2.7 * 2 = 5.4 to determine the full height of the mirror.
Yay! We figured out that "the mirror has a vertical orientation and is 5.4 ft tall".
the y-intercept is ___. It tells you tell the car starts ___ feet from Peyton
The y-intercept of the equation is 4 and it tells us the car starts 4 feet from Peyton.
How to find the y-intercept of an equation?The y -intercept of a graph is the point where the graph crosses the y -axis. In other words, the y-intercept is the value of y when x = 0.
Peyton steers a remote control car. The equation y = 3x + 4 can be used to find y, the cars distance from Peyton in feet's after x seconds.
Let's identify the y-intercept.
Using slope intercept form,
y = mx + b
where
m = slopeb = y-interceptTherefore, the y-intercept is 4. It also tells us that the car start form 4 feet from Peyton.
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Devon saw 19 adults wearing hats
Answer:
please add rest of question?
Step-by-step explanation:
PLEASE HELP
find the area
Answer:
372
Step-by-step explanation:
This is because the formula is a+b/2 x h and 7 is a 24 is b and the other 24 is h so 7 + 24 = 31/2 x 24 is 312
The triangle above has the following measures.
m
a=7.5 y
Use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
The length of the hypotenuse is 10.61 yd.
We have,
The sum of the angles in a triangle = 180
Now,
Two angles are 45.
This means,
The side opposite to angle 45 are equal.
So,
a = c
And,
a = 7.5 yd
Now,
Applying the Pythagorean theorem.
b² = a² + c²
b² = 7.5² + 7.5²
b² = 112.5
b = √112.5
b = 10.61
Thus,
The length of the hypotenuse is 10.61 yd.
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Michelle sells new and used kayaks. She makes a 10.5% commission on every kayak she sells and she also gets paid $495.50 per week. a) Develop an equation for the way Michelle is paid. b) Last month, the total value of the kayaks she sold was $19 425. Use the equation you’ve developed to find out how much Michelle was paid for that month.
Michelle's payment = (x10.5% + 495.95) per week.
Michelle's last month's payment is $4021.625Given,
The commission Michelle got for every Kayak she sells = 10.5%
Michelle's weekly payment = $495.50
a) We have to find an equation for the way Michelle is paid;
x be the selling price of kayak.
Then,
Michelle's payment = (x10.5% + 495.95) per week.
b) The total value of kayaks sold by Michelle last month = $19425
We have to find her last month's payment using the equation;
Here,
Michelle's payment = (x10.5% + 495.95)
x = 19485
There may be 4 weeks in a month.
Then,
(19485 x 10.5/100) + 495.95 x 4 = 2039.625 + 1982 = $4021.625
Therefore,
The equation for the way Michelle is paid is;Michelle's payment = (x10.5% + 495.95) per week.
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Which polynomials are prime? Check all that apply.
2x²+ 7x + 1
0 5x²-10x + 5
O 3x² + 8
04x²-25
Ox²+36
The requried only prime polynomial among the given options are 2x²+ 7x + 1, 3x² + 8, and x²+36.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.
Here,
The first polynomial 2x²+ 7x + 1 cannot be factored therefore it is a prime polynomial.
The second polynomial 5x²-10x + 5 can be factored as 5(x-1)² and is therefore not a prime polynomial.
The third polynomial 3x² + 8 cannot be factored over the integers and is therefore a prime polynomial.
The fourth polynomial 4x²-25 can be factored as (2x-5)(2x+5) and is therefore not a prime polynomial.
The fifth polynomial x²+36 cannot be factored therefore it is a prime polynomial.
Therefore, the only prime polynomial among the given options is 3x² + 8.
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In the past few years, many small businesses have been faced with difficulty keeping their doors open, and in many cases large corporations with cash on hand have come in to take over the companies and their real estate. In such case, a large restaurant chain purchased a small corner tavern with plans to use the name to build a local franchise. The cost of buying the franchise naming rights was four times the cost of buying the physical property. If the total purchase price was $1,250,000, how much did the restaurant chain pay for each individual element of the sale ( naming rights and physical property)?
The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
What is sale?Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.
The total purchase price of the franchise naming rights and physical property was $1,250,000.
To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.
The total purchase price of $1,250,000 divided by two elements equals $625,000.
This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.
The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is
$625,000/4 .
When the cost of the physical property is multiplied by four, the result is $2,500,000.
This means that the restaurant chain paid $2,500,000 for the franchise naming rights.
In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.
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Given: Line segment AC and line segment BD intersect at O.
Prove: ZAOB ZCOD
Since line segment AC and line segment BD intersect at O, ZAOB is supplementary to ZBOC and ZBOC is supplementary to
ZCOD by the linear pair theorem.
Which statement and reason best completes the proof?
ZCOD.
ZCOD.
By the congruent supplements theorem, ZAOB
By the substitution property of equality, ZAOB
By the congruent complements theorem, ZAOBZCOD.
By the subtraction property of equality, ZAOB ZCOD.
By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Given: Line segment AC and line segment BD intersect at O.
Prove: ∠AOB ≅ ∠COD
By the supplementary angles property, the equations are given as,
∠AOB + ∠BOC = 180° .....1
∠BOC + ∠COD = 180° ....2
By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.
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Answer: By the congruent complements theorem
Step-by-step explanation: I took the test
A bucket is slowly leaking, losing 1/4 of liter of water in 1/2 of a day. At what rate is the bucket leaking?
Answer: 850ml
Step-by-step explanation:
IL = 1 000ml
1/4 × 100
= 850ml
Answer: it 1/2
Step-by-step explanation: i got the answer on test!!!
A major-league baseball diamond is shaped like a square with side lengths of 30 yards, as shown in the diagram.
Answer:
42
Step-by-step explanation:
Given that ∅ = 12.2° , calculate the area of the triange below
give your answer to 2 d.p.
Answer:
A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)
A = (1/4)√29√21√7
= about 16.32 mm²
Answer:
16.27 mm² (see comment)
Step-by-step explanation:
You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.
AreaThe area is given by the formula ...
A = 1/2ab·sin(C)
A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²
The area of the triangle is about 16.27 square millimeters.
__
Additional comment
If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)
s = (4 +11 +14)/2 = 14.5
A = √(s(s -a)(s -b)(s -c))
A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375
A ≈ 16.32
<95141404393>
I really need help I don’t understand at all
Answer:(33)-x 7
Step-by-step explanation: 33 is left after you multiply 22 by x2 so that means if you divide by 2 ur answer would be (33)-x 7
In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are a. 47 and 3 b. 3 and 47 c. 2 and 43 d. 3 and 43
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The number of independent variables is \(n = 3\)
The number of observation is \(z = 47\)
Since n is are independent variables then their degree of freedom is 3
The denominator(i.e z) degrees of freedom is evaluated as
\(Df(z) = z - (n +1)\)
\(Df(z) = 47 - (3 +1)\)
\(Df(z) = 43\)
So for the numerator (n) the degree of freedom is Df(n) = 3
So for the denominator(i.e z) the degree of freedom is Df(z) = 43
Mrs Tan paid $39 for 4 cups and 3 bowls. Each bowl cost 3 times as much as each cup. How much did she pay for each bowl?
Answer: Mrs Tan paid $9 for each bowl.
Step-by-step explanation:
Let's first assume the cost of each cup is x, then the cost of each bowl is 3x (since each bowl costs 3 times as much as each cup). According to the problem, Mrs Tan paid $39 for 4 cups and 3 bowls. So we can set up the following equation:
4x + 3(3x) = 39
This simplifies to:
4x + 9x = 39
13x = 39
x = 3
So one cup costs $3.To find out how much each bowl costs, we can simply substitute x = 3 into the expression 3x:
3(3) = 9
So each bowl costs $9.Therefore, Mrs Tan paid $9 for each bowl.
She Paid $9 For Each Bowl
━━━━━━━━━━━━━━━━━━━━━━
ㅤㅤ [ LET :: ]
ㅤ
➔ Cost Of 1 Cup = $x
➔ Cost Of 1 Bowl = $3x
ㅤ
ㅤㅤ [ THEN :: ]
ㅤ
➔ Cost Of 4 Cups = $4x
➔ Cost Of 3 Bowls = $(3×3) = $9x
ㅤ
ㅤㅤ [ ATQ :: ]
ㅤ
\(\begin{gathered} \; \; \sf{:\longmapsto{4x + 9x = 39}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{13x = 39}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{x = \cancel{\dfrac{39}{13}}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; :\longmapsto{\underline{\boxed{\orange{\frak{x = 3}}}}} \; \pmb{\bigstar} \\ \\ \end{gathered}\)
ㅤ
Substituting The Value Of (x)\(\begin{gathered} \\ \; \; \dag \; {\underline{\underline{\sf{Cost \; Of \; Each \; Bowl:-}}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\${(3 \times 3)}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; :\longmapsto{\underline{\boxed{\frak{ \: \: \: \$ \: {9} \: \: \: }}}} \; \pmb{\red{\bigstar}} \\ \\ \end{gathered}\)
\(\bf{\pmb{\underline{\rule{170pt}{5pt}}}}\)
3x+y=15 create a word problem
Answer:
---
Step-by-step explanation:
3 adults and 1 child go to a park. The admission fee for adults is x, and the fee for children is y. They spent a total of 15 dollars. Solve for x and y.
---
hope it helps
sorry if it doesn't. I'm the person who solves the problems, not creates them
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
∠1 and ∠2 are vertical angles. ∠2 has a measure of 31°.
What is the measure of ∠1?
Enter your answer in the box.
The measure of <1 is 31°.
What are vertical angles?Two angles are said to be vertical angles when they are formed by two straight lines intersecting at a point. This produces a series of angles of which some are vertical, thus they have equal measure.
In the information given in the question, it was given that <1 and <2 are vertical angles. This implies that they have equal measure, such that;
<2 = 31° (given)
So that;
<1 = <2 = 31°
Thus,
<1 = 31°
Therefore, it can be concluded that the measure of <1 is 31°.
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Hong will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 55.96 and costs an additional 0.12 per mile driven. The second plan has an initial fee of 43.96 and costs additional 0.14 pre mile driven. How many miles would Hong need to. drive for the two plans to cost the same?
Answer:
600 miles the costs will be the same.
Explanation:
The first plan has an initial fee of $43.96 and costs an additional $0.14 per
mile driven.
C= 43.96 + 0.14x
The second plan has an initial fee of $55.96 and costs an additional $0.12 per mile driven.
C= 55.96+0.12x
equate them to get the same cost
43.96 +0.14x= 55.96+0.12x
0.02x= 55.96- 43.96
0.02x = 12
1 / 0.02 = 50
12 x 50 = 600
x = 600 miles.
Driving for 600 miles, the cost will be same
W/o Alemachesh starts a business with Birr 45000. Ato Zeberga joins in the business after 3 months with Birr 30000. What will be the ratio in which they should share the profit at the end of the year? A. 1:2 B. 2:1 C. 1:3 D. None of the above
The ratio in which they should share the profit at the end of the year is D. Nine of the above.
How to calculate the ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point to another data point.
Since W/o Alemachesh starts a business with Birr 45000. Ato Zeberga joins in the business after 3 months with Birr 30000.
The ratio will be:
= 45000 / 30000
= 3/2
= 3:2
The option isn't given. Therefore, the correct option is D.
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If 6^ = 1/126 find the value of x
Please ask help with b
9514 1404 393
Answer:
a) x = -3
b) 1/250
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
a) It is helpful to know that 216 = 6^3.* Then you would realize that ...
\(6^x=\dfrac{1}{216}=\dfrac{1}{6^3}=6^{-3}\\\\x=-3\)
If you don't know that, then you can solve the equation using logarithms. Taking the log of both sides, you have ...
x·log(6) = log(1/216)
x = log(1/216)/log(6) = -3
__
b)
\(5^{-3}\times 2^{-1}=\dfrac{1}{5^3}\times\dfrac{1}{2^1}=\dfrac{1}{125}\times\dfrac{1}{2}=\boxed{\dfrac{1}{250}}\)
_____
* This would be on your list of cubes of small integers that you might want to memorize, along with squares of numbers less than 20.
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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TANIA WANTS TO BUY STICKERS OVER THE INTERNET. EACH STICKER COSTS $2 AND SHIPPING THE ENTIRE ORDER COSTS $6. IF SHE CAN SPEND NO MORE THAN $30, HOW MANY STICKERS CAN SHE BUY? WRITE AND SOLVE AN INEQUALITY SHOWING THIS SITUATION. CHECK THE IN THE Soultion in the inequality.
the vertex of the parabola below is at the point (5,-3). which of the equations below could be the one for this parabola?
Answer: ty for the points
Step-by-step explanation:
x+-3(y+3)2+5
Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires four and four fifths pounds of chicken. How many pounds of chicken will be needed for a single serving? FAST PLS !!!!
Answer:
1.2 pounds of chicken per serving.
Step-by-step explanation:
4 and 4/5 of pounds of chicken for serving of 4.
We can also write this as 4.8 pounds of chicken.
To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.
\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)
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Thanks!
8)
Erica chooses a number. She divides it by four then subtracts 11. She then divides this
result by two. Her answer is 12.5. What was the number she started with?
Step-by-step explanation:
Let x be the number.
Divide it by 4
x/4
Subtract 11
x/4 - 11
x-44/4
Divides this result by 2
x-44/4 ÷ 2
x-44/4 × 1/2
x-44/8
Her answer is 12.5
x-44/8 = 12.5
x-44 = 12.5 × 8
x = 100 + 44
x = 144
Hence,
She started with 144 number.
Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents. Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.
Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed can be described as a positive correlation.
How is this so?As wind speed increases,the fire spread rate also tends to increase.
b. Direction -
Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to be positive.
As the wind speed increases,the fire spread rate generally tends to increase as well.
c. Strength -
The scatterplot suggests a moderate to strong relationship between fire spread rate and wind speed.
The data points exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.
The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.
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Full Question:
Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.
Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.
Wind Speed (miles/hour) Fire Spread Rate (feet/minute)
0.76 0
1.78 2
3.34 4
5.38 6
8.10 8
11.75 10
16.70 12
A scatterplot of these data is shown here -
1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?
a. Form:
b. Direction:
c. Strength:
Solve
4x > 16
..............
Answer:
256. fffddddddssddddd
if Mike can tune 4 cars in 3 hours. How many cars can Mike tune in 8 hours?
Answer:
10 2/3 cars
Step-by-step explanation:
We can use a ratio
4 cars x cars
------------- = -----------
3 hours 8 hours
Using cross products
4 *8 = 3 *x
32 = 3x
Divide each side by 3
32/3 = 3x/3
10 2/3 cars
What is the x-intercept for function f?
f(x) = −23x + 8
The x-intercept for function f(x) = −23x + 8 is (8/23, 0)
In this question, we have been given a function f(x) = −23x + 8
We need to find the x-intercept for given function f(x)
Let f(x) = y
So, given function becomes,
y = −23x + 8
To find the x-intercept, set y = 0,
0 = -23x + 8
23x = 8
x = 8/23
Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)
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