Answer:
3
Step-by-step explanation:
2+2/2 division
2+1 addition
3
PEMDAS
Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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What is the sum of 25 7/8 + 11.5
A - 36 3/8
B - 36 7/8
C - 37 3/8
D - 37 7/8
Answer: D
Step-by-step explanation:
A survey of 800 randomly selected adults in a certain country found that 82% believed that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
a. Verify the Central Limit Theorem conditions.
b. Find a 95% confidence interval for the proportion of adults in the country who believe that
protecting the rights of those with unpopular views is a very important component of a strong
democracy.
c. Would a 90% confidence interval based on this sample be wider or narrower than the 95%
interval? Give a reason for your answer.
a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c) . A 90% confidence interval would be wider than the 95% interval
How to Verify the Central Limit Theorem conditions.To verify the Central Limit Theorem (CLT) conditions, we need to check the following:
1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.
2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.
3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.
Therefore, the Central Limit Theorem conditions are met.
b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:
CI = p ± z * √(p(1-p)/n)
where:
- p is the sample proportion (82% or 0.82 in decimal form).
- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.
- n is the sample size (800).
Calculating the confidence interval:
CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)
CI = 0.82 ± 1.96 * √(0.82*0.18/800)
CI = 0.82 ± 1.96 * √(0.1476/800)
CI = 0.82 ± 1.96 * √0.0001845
CI ≈ 0.82 ± 1.96 * 0.01358
CI ≈ 0.82 ± 0.0266
The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.
c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.
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Which of the following is a common multiple of 4 and 10?
A 100
B 104
C 90
D 110
Answer:
A) 100
Step-by-step explanation:
When looking for a common you can move up the times tables of each number until you find a matching pair. 10x10=100 and 4x25=100. By looking for common answers through the times tables you can more easily find a common multiple.
Find the product
3(z+4)(x-5)
Answer:
3zx-15z+12x-60
Step-by-step explanation:
first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20
then distribute the 3 to get the answer
Write the Equation of the conic.
12. A circle with endpoints of a diameter at(1, -3) and (1,3).
Need help please thanks
Answer:
(x² -1) + y² = 9
Step-by-step explanation:
diameter=6 so radius means 6/2=3 (thus,radius²=3²=9)
centre (1 and midpoint of diameter is at y=0, so 1,0)
Find the y intercept of the line on the graph
Answer: y = -1
Step-by-step explanation:
When x = 0, y = -1
Also, you can think about it as when the graph of the line passes the y axis
Please help!
Note that common contexts are listed toward the top, and less common contexts are listed toward the bottom. According to O*NET, what are common work contexts for Film and Video Editors? Check all that apply.
(1) extremely bright or inadequate lighting
(2) spend time sitting
(3) exposed to disease or infections
(4) indoors, environmentally controlled
(5) face-to-face discussions
(6) deal with physically aggressive people
Answer:
2,4,5 got it right on egde2021
Step-by-step explanation:
if now lina is three times as old as Nick and in 6 years she will be twice as old as he how old are they now
Nick is currently 6 years old and Lina is currently 18 years old.
How to determine how old Nick and Lina are nowLet's assume Nick's current age is x.
According to the given information, Lina is currently three times as old as Nick, so her current age is 3x.
In 6 years, Nick's age will be x + 6, and Lina's age will be 3x + 6. The second piece of information states that in 6 years, Lina will be twice as old as Nick. Mathematically, this can be expressed as:
3x + 6 = 2(x + 6)
Now we can solve this equation to find the values of x and 3x:
3x + 6 = 2x + 12
3x - 2x = 12 - 6
x = 6
So Nick's current age is 6 years old. Substituting this value into the equation, Lina's current age is 3 * 6 = 18 years old.
Therefore, Nick is currently 6 years old and Lina is currently 18 years old.
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a local pizzaria offers 15 toppings for their pizzas you can choose any 4 of them for a fixed price how many different types of pizzas can you order with 4 toppings
Since we can choose 4 of the 15 toppings, we can order 1365 different types of pizzas with 4 toppings
Since the question says 'choose', it is a combination question and order is not important.
What is combination?This is the number of ways in which x objects can be selected from n objects.
It is given mathematically as ⁿCₓ = n!/[r!(n - r)!]
Number of different types of pizzasNow given that we have 15 toppings for pizza and we want to choose any 4, So, we are choosing 15 toppings in 4 ways. So,
n = 15 and r = 4So, ¹⁵C₄ = 15!/4!(15 - 4)!
= 15!/4!11!
= 15 × 14 × 13 × 12 × 11!/4!11!
= 15 × 14 × 13 × 12/24
= 15 × 7 × 13
= 1365 ways
So, we can order 1365 different types of pizzas with 4 toppings
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Danica made $440 working at a pet shop last month. She worked a total of 40 hours. How much money did Danica make per hour?
Answer:
Danica made 11 dollars per hour.
Step-by-step explanation:
Divide- 440/40=11
Check 11*40=440
She made 11 dollars per hour.
Answer:11
Step-by-step explanation:
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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I WILL GIVE YOU BRAINLIEST!!
a pet store has 8 empty fish tanks that each hold 5544 cubic inches of water one goldfish requires a minimum of 1386 cubic inches of water.
What is the greatest number of goldfish that the pet store can have given the volume of water needed for one goldfish?
Answer:
32 goldfish
Step-by-step explanation:
Given:
Number of fish tanks = 8Volume of water per fish tank = 5,544 in³Water required by 1 goldfish = min 1,386 in³Number of fish per tank = water per tank ÷ water per goldfish
= 5544 ÷ 1386
= 4
Therefore, each tank can hold a maximum of 4 goldfish.
Greatest number of goldfish = number of tanks × fish per tank
= 8 × 4
= 32
please help me :((((((
Answer:
Answer D
Step-by-step explanation:
It says to divide f(x)/g(x), which is displayed in D and if we find the domain it would be x is not equal to -1/4
Please help me I will give brainliest. You need to use a^2+ b^2=c^2 format
Answer:
x = 9
Step-by-step explanation:
1) a²+12²=15²
2) a²+144=225
3) a²=81
4)\(\sqrt{81\\}\)=9
You are using a magnifying glass that shows the image of an object that is six tin image of the termite seen through the magnifying glass. 9.5 mm The image length through the magnifying glass is millimeters.
When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.
When using a magnifying glass, the image of an object appears larger. In this case, the termite is being viewed through a magnifying glass that magnifies the image by a factor of six. The actual length of the termite is not mentioned in the given information. However, it is stated that the length of the image seen through the magnifying glass is 9.5 mm.To determine the actual length of the termite, we can divide the length of the image by the magnification factor. Therefore, the actual length of the termite would be 9.5 mm divided by 6, which is approximately 1.58 mm.Therefore, when viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.For more questions on magnifying glass
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(PLEASE HELP THIS IS DUE IN LIKE 10 MIN) What is the measure of angle P
117
130+110=240
240/101=2.37623762376x the equlatiral line by its invisible circle you get 117
Solve the equation by graphing. - x2 = 8x + 20
Answer: No real solutions.
Step-by-step explanation: −x2=8x+20
Step 1: Subtract8x+20 from both sides.
−x2−(8x+20)=8x+20−(8x+20)
−x2−8x−20=0
For this equation: a=-1, b=-8, c=-20
−1x2+−8x+−20=0
Step 2: Use quadratic formula with a=-1, b=-8, c=-20
\(\rm\int_0^1 \frac{( {x}^ \varphi - 1 {)}^{2} }{ log {}^{2} (x) } dx\\\)
I assume the natural logarithm, and not the base-10 log. Parameterize the integral as
\(\displaystyle I(a) = \int_0^1 \frac{(x^a - 1)^2}{\log^2(x)} \, dx\)
Differentiate twice with respect to \(a\).
\(\displaystyle I'(a) = 2 \int_0^1 \frac{x^{2a} -x^a}{\log(x)} \, dx\)
\(\displaystyle I''(a) = 2 \int_0^1 (x^{2a} - x^a) \, dx\)
Evaluate the last integral, then solve for \(I(a)\) with the fundamental theorem of calculus, noting that \(I(0)=I'(0)=0\).
\(\displaystyle I''(a) = 2\left(\frac1{2a+1} - \frac1{a+1}\right)\)
\(\displaystyle I'(a) = 2 \int_0^a \left(\frac1{2t+1} - \frac1{t+1}\right) \, dt \\\\ ~~~~ = \log(2a+1) - 2 \log(a+1)\)
\(\displaystyle I(a) = \int_0^a (\log(2t+1) - 2\log(t+1)) \, dt \\\\ ~~~~ = (2a+1) \log(2a+1) - 2(a+1) \log(a + 1)\)
Let \(a=\phi\) to recover the original integral.
\(\displaystyle I(a) = (2\phi+1) \log(2\phi+1) - 2(\phi+1) \log(\phi + 1)\)
Using various properties of the golden ratio \(\phi\), namely
\(\phi = 1 + \dfrac1\phi \implies \phi^2 = \phi + 1 \implies \phi^3 = \phi^2 + \phi\)
\(2\phi+1 = \phi\left(2+\dfrac1\phi\right) = \phi(1 + \phi)\)
\(\phi=\dfrac{1+\sqrt5}2 \implies \phi^3 = 2 + \sqrt5\)
we can simplify the result to
\(\displaystyle I(\phi) = \int_0^1 \frac{(x^\phi-1)^2}{\log^2(x)} \, dx = \boxed{\sqrt5\,\log(\phi)}\)
Mike has $75 to spend at a local model car show. The entrance price for the show is $20. At one seller’s stand, Mike finds some model cars that he likes that are $7.50 each. What is the maximum number of model cars that Mike can buy at that stand?
Answer:
Mike can buy 7 model cars
Step-by-step explanation:
The equation for this word problem would be
7.5x+20=75
subract 20 from both sides
7.5x=55
divide both sides by 7.5
x= 7.33 or 7 1/3 or 22/3
but since you cant buy a third of a car the answer would be 7
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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What is the sum of the angle measures in this shape?
Due to this being a quadrilateral, if you memorized this, it would be 360 degrees.
But if you didn't and you know the formula, 180(n-2)= sum of all angles in nth sided shape, you can use that.
=180(4-2)
=180(2)
=360 degrees
I hope this helps!
If i purchase 25 candy bars priced at 3/$1.00,how much do I owe you
Every three candy bars cost a dollar.
Divide 25 by three.
$8.33
In circle N with � ∠ � � � = 12 4 ∘ m∠MNP=124 ∘ and � � = 13 MN=13, find the area of sector MNP. Round to the nearest hundredth.
If circle with center N with m∠MNP=124 ∘ and MN=13, the area of sector MNP is approximately equal to 194.86 square units.
To find the area of a sector of a circle, we need to use the formula:
Area of sector = (central angle/360°) x πr²
Where r is the radius of the circle.
In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:
Area of sector = (124/360) x π(13)²
Area of sector ≈ 194.86
Therefore, the area of sector MNP is approximately equal to 194.86 square units.
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Please help please and thank u :)
WILL GIVE BRAINLIEST!!!!!!!
what's 1+1? ;)
Answer:
2!! :DDD
Step-by-step explanation:
HAVE A GOOD DAYYYY :]
The denominator of a rational number is greater than the numerator by 10. If the numerator is
increased by 1 and the denominator is decreased by 1, then find the
original rational number.
answer with steps for more points
ANSWER ASAP
The expression for the original rational number is; x/(x + 10)
How to solve algebraic expressions?Let the numerator be x
Therefore, according to given condition, the denominator will be expressed as; (x + 10)
According to question If the numerator is increased by 1 and the denominator is decreased by 1, then new numerator is; x + 1
New denominator is (x + 10 - 1) = (x + 9)
Thus, the original rational number will be expressed as;
x/(x + 10)
The new rational number will be : (x + 1)/(x + 9)
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plz help I will mark brainlest
Answer: 340$$$
Step-by-step explanation:
Basically you divide 680 by 2 cause 2 is half which is the same as 50% so its 340
Hello Please Find The Answer To This Question (easy)
Answer:
y=-2x-4
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator