Y=-4x+10 what is the perpendicular equation that contains (4,-6)
What are the constants in x-3+2/3-y/2
A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot
The other dimension of the rectangular lot is 120 feet.
Explanation:In a rectangular lot, the diagonal forms a right triangle with the two sides of the rectangle. We can use the Pythagorean theorem to find the length of the other dimension of the lot.
Let's assume that the other dimension of the lot is x feet. The diagonal, which is 130 feet, is the hypotenuse of the right triangle. The two sides of the rectangle are 50 feet and x feet.
Using the Pythagorean theorem, we have:
x2 + 502 = 1302
x2 + 2500 = 16900
x2 = 14400
x = √14400 = 120
Therefore, the other dimension of the lot is 120 feet.
Which word fits in both sentences
after your brother asked a simple question why did you ____ at him?
I made a ____ decision that I regretted later.
A) shout
B) sudden
C) easy
D) snap
Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are the odds against the next car leaving the lot being black?
The odds against the next car leaving the parking lot being black are calculated by finding the number of black cars (6) and using the formula (Total cars - Black cars) : Black cars, which results in odds of 14:3.
To answer the question regarding the odds against the next car leaving the parking lot being black, we need to calculate the number of black cars and then the odds.
There are a total of 34 cars in the lot, with 20 green and 8 gold, so the rest are black.
To find the number of black cars, subtract the number of green and gold cars from the total:
34 (total cars) - 20 (green cars) - 8 (gold cars) = 6 (black cars).
The odds in favor of an event are the ratio of the probability of the event happening to the probability of it not happening. Therefore, the odds against an event are just the opposite -- the ratio of the probability of the event not happening to the probability of it happening.
To calculate the odds against picking a black car, we use this ratio:
Odds against a black car = (Total cars - Black cars) : Black cars
Odds against a black car = (34 - 6) : 6
Odds against a black car = 28 : 6
Odds against a black car = 14 : 3.
So, the odds against the next car leaving the lot being black are 14:3.
Student Stars Mazie 7 Chris 4 Jenni -3 Scott 0 Michael 2 Zoe 4 Liza -5 Thomas -1 Benjamin 6 Josie 1 Chase 8 David -4 Students in Mr. Miller's class gain and lose stars for behavior during the day. At the end of the week, any students with a negative star value must stay for detention. According to the chart who must serve detention?
The veloctiy of sound in air is given by the equation v=20 times the square root of 273+t where v is the velocity in meters per second and t is the temperature in degrees Celcius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.
Answer:
The velocity of sound in air is 369 meters per second at 67 degrees Celcius.
Step-by-step explanation:
The veloctiy of sound in air is given by the equation
[tex]v=20\sqrt{273+t}[/tex]
where v is the velocity in meters per second and t is the temperature in degrees Celcius.
We need find the temperature when the velocity of sound in air is 369 meters per second.
Substitute v=369 in the give equation.
[tex]369=20\sqrt{273+t}[/tex]
Divide both sides by 20.
[tex]\frac{369}{20}=\sqrt{273+t}[/tex]
[tex]18.45=\sqrt{273+t}[/tex]
Taking square both the sides.
[tex](18.45)^2=273+t[/tex]
[tex]340.4025=273+t[/tex]
Subtract 273 from both the sides.
[tex]340.4025-273=t[/tex]
[tex]67.4025=t[/tex]
[tex]t\approx 67[/tex]
Therefore the velocity of sound in air is 369 meters per second at 67 degrees Celcius.
Camryn practice the trumpet every 11th superscript day and the flute every 3rd superscript day.camryn practiced both the trumpet and the flute today. How many days until camryn practices the trumpet and flute again in the same day?
one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles of the triangle in grades.
for a company outing employees voted their preferences of bowling a movie or a baseball game seventy percent which is 56 employees voted for the movie. what is the total number of employees who voted?
one hundred grams of radium are stored in a container. The amount R of radium present after t years can modeled by R=10e^-0.00043t. After how many years will only 5 grams of radium be present? round your answer to the nearest whole year.
To determine after how many years only 5 grams of radium will be present, we use the decay equation [tex]R = 100e^{-0.00043t}[/tex] to solve for t when R equals 5 grams, yielding approximately 1,605 years.
Explanation:To determine after how many years only 5 grams of radium will be present, we can use the provided equation for radioactive decay: R = [tex]100e^{-0.00043t}[/tex]. We need to solve for when R equals 5 grams. Here are the steps:
Set the equation equal to 5: [tex]5 = 100e^{-0.00043t}.[/tex]Divide both sides by 100: [tex]0.05 = e^{-0.00043t[/tex]}.Take the natural logarithm (ln) of both sides to solve for t: [tex]ln(0.05) = ln(e^{-0.00043t}) = -0.00043t.[/tex]Divide both sides by -0.00043 to isolate t: [tex]t = ln(0.05) / -0.00043.[/tex]Use a calculator to find the value of t: [tex]t \approx 1,605.11[/tex] years.Round to the nearest whole year: t ≈ 1,605 years.After approximately 1,605 years, only 5 grams of radium will be present.
To find the time after which only 5 grams of radium remain, the exponential decay equation [tex]R = 10e^{-0.00043t[/tex] is solved using natural logarithms, yielding an approximate time of 1608 years.
To determine after how many years only 5 grams of radium will be present, we need to solve the exponential decay equation provided, R = [tex]10e^{-0.00043t[/tex], for t when R = 5 grams. We can do this using logarithms.
Set up the equation with R = 5: 5 = [tex]10e^{-0.00043t[/tex]
Divide both sides by 10 to isolate the exponential term: 0.5 = [tex]e^{-0.00043t[/tex]
Take the natural logarithm (ln) of both sides: ln(0.5) = ln([tex]e^{-0.00043t[/tex]), which simplifies to ln(0.5) = -0.00043t because the natural logarithm and the exponential function are inverses of each other.
Divide by -0.00043 to solve for t: t = ln(0.5) / -0.00043
Use a calculator to find the value of t: t ≈ 1608 years (rounded to the nearest whole year)
After approximately 1608 years, there will only be 5 grams of radium present in the container.
Which set is more variable? How do you know?
Please please help me ASAP like RIGHT NOW this is my last question and the only question I have left so please help me super quick!!!!!!!!!!
To determine which set is more variable, calculate their measures of variability such as range and standard deviation. Sets with larger range and standard deviation are considered more variable.
Explanation:To determine which set is more variable, you need to calculate the measures of variability for both sets. The measures of variability commonly used are the range and standard deviation. The set with a larger range and standard deviation is considered to be more variable.
For example, if we have two sets of data: Set A (2, 4, 6, 8, 10) and Set B (3, 5, 7, 9, 11), we can calculate the range for both sets. The range of Set A is 10 - 2 = 8, while the range of Set B is 11 - 3 = 8. Both sets have the same range, so we need to calculate the standard deviation to determine which set is more variable.
By calculating the standard deviation, we find that Set A has a standard deviation of 2.83, while Set B has a standard deviation of 2.83 as well. Again, both sets have the same standard deviation, so in this example, both sets are equally variable.
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A plane is flying at an altitude of 12,000 meters. From the pilot the angle of depression to the airport is 32. How far is the tower from a point directly beneath the plane?
Select the measures that are equal
6 feet 15 yards 45 feet 600 inches 12 feet 640 inches
To solve such problems, we need to know about Units conversion.
Units conversionUnit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,
though the real measurement is still the same the units and numerical values have been changed.
Common Unit Conversion1 yard = 36 inches,
1 foot = 12 inches,
Given to us,
6 feet, 15 yards, 45 feet, 600 inches, 12 feet, 640 inches
Converting the units to inches,
1 foot = 12 inches,
6 feet = 6 x 12 = 72 inches,
45 feet = 45 x 12 = 540 inches,
12 feet = 12 x 12 = 144 inches,
1 yard = 36 inches,
15 yards = 15 x 36 = 540 inches,
As we can see above the value of 15 yards and 45 feet are equal to 540 inches, therefore, equal to each other.
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A pattern that can be folded to form a solid figure is a
Please help me with this
Find the area of the shaded region. Use 3.14 for pi. Do not round. Use a calculator. Number 20 and 21. Ty.
3h/h^2-12h+36 -18/h^2-12h+36
Find the final cost to the employer.
Original price: $129.00
Employee discount: 20%
Sale discount: 30%
Sales tax: 5%
a.$75.85
b.$70.95
c.$68.63
d.$67.72
e.$61.28
4 1/4 divided by 1 1/2
Final answer:
The division of 4 1/4 by 1 1/2, when converted to improper fractions, results in 17/6, or 2 5/6 as a mixed number.
Explanation:
The question asks us to find the result of the division 4 1/4 divided by 1 1/2. To tackle this problem, we need to convert the mixed numbers into improper fractions and then perform the division by multiplying by the reciprocal. Here's how it is done step-by-step:
Convert mixed numbers to improper fractions:
4 1/4 = (4×4 + 1)/4 = 17/4 and
1 1/2 = (1×2 + 1)/2 = 3/2.
Divide the fractions by multiplying by the reciprocal of the divisor:
(17/4) × (2/3) = 34/12.
Simplify the result:
34/12 can be simplified to 17/6, or as a mixed number, 2 5/6.
Therefore, the answer to 4 1/4 divided by 1 1/2 is 2 5/6.
Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous Powered by LinkIt!
PLZ HELP!!! 50 POINTS!!!!
What is the value of x in this triangle? Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
figure lmno is a rectangle. The slope of LM is -1/2. What are the slopes of MN and OL?
Answer:
The slopes of these other two segments would be 2.
Step-by-step explanation:
In order to find these slopes, you need to know that rectangles have right angles. Given this fact, we know these segments are perpendicular to the given segment. This means that we take the current slope (-1/2), we flip it, (-2) and negate it (2) to get the new slope.
What is the net force here and what direction will the object accelerate ?
can yall help me with this tell me your answer step by step plz
Answer:
What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?
Answer is B or # 2
The graph touches, but does not cross, the x–axis at x = ⇒ 4.
The graph of the function crosses the x–axis at x = ⇒ 0
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!
Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. the cone has a height of 4.5 inches and a radius of 1.5 inches
A lawn is shaped like a parallelogram with a base of 32 feet and a height of 15 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?
Answer:
$1248.
Step-by-step explanation:
area = base x height.
then
area x cost
b h c
32 x 15 x 2.6 = 1248
A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much will be in the account after a year?
Brett colors 25% of the total shapes on his paper he colors 6 shapes enter the total number of shapes on bretts paper
Based on the information given the total number of shapes on bretts paper is 24 shapes.
Using this formula
Total number of shapes=Number of shapes/Percentage of total sales
Where:
Number of shapes=6
Percentage of total sales=25% or .25
Let plug in the formula
Total number of shapes=6/.25
Total number of shapes=24 shapes
Inconclusion the total number of shapes on bretts paper is 24 shapes.
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