Answers
Answer: = 4 c) f(0) = (0)2 = 0 d) f(5) = (5)2 = 25.
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PLSSSS HELP ME!!!!!!!! A classroom is rectangular in shape. If listed as ordered pairs, the corners of the classroom are (−22, 14), (−22, −10), (2, 14), and (2, −10). What is the perimeter of the classroom in feet? 96 feet 176 feet 240 feet 480 feet
Answers
Answer:
120
Step-by-step explanation:
We can use the distance formula to find the length of each side of the rectangle and then add them up to get the perimeter.
Distance between (-22, 14) and (-22, -10):
d = sqrt[(14 - (-10))^2 + (-22 - (-22))^2] = 24 feet
Distance between (-22, -10) and (2, -10):
d = sqrt[(-10 - (-10))^2 + (2 - (-22))^2] = 24 feet
Distance between (2, -10) and (2, 14):
d = sqrt[(-10 - 14)^2 + (2 - 2)^2] = 24 feet
Distance between (2, 14) and (-22, 14):
d = sqrt[(14 - 14)^2 + (-22 - 2)^2] = 48 feet
Adding up the lengths of all sides, we get:
24 + 24 + 24 + 48 = 120 feet
Therefore, the perimeter of the classroom in feet is 120 feet. Answer: 120 feet.
Answer:
96
Step-by-step explanation:
The distance between the two points (-22, 14) and (-22, -10) is 24 units. The distance between the two points (-22, 14) and (2, 14) is 24 units. The distance between the two points (2, 14) and (2, -10) is 24 units. The distance between the two points (2, -10) and (-22, -10) is 24 units. Therefore, the perimeter of the classroom is 24 + 24 + 24 + 24 = 96 feet. The answer is 96 feet.
im 80% percent positive
Find ratio in which line joining of points A(–7, –1) and B(8, 2) is divided by x + y = 2 ?
Answers
After answering the presented question, we can conclude that As a result, the line connecting the points A(-7, -1) and B(8, 2) is divided by the line x + y = 2 in the ratio about 65.63:56.63.
what is ratio?In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit dish, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of numbers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.
\(m = (y2 - y1)/(x2 - x1) = (2 - (-1))/(8 - (-7)) = 3/15 = 1/5\\y - y1 = m(x - x1)\\y - (-1) = (1/5)(x - (-7))\\y + 1 = (1/5)(x + 7)\\y = (1/5)x + 6/5 - 1\\y = (1/5)x + 1/5\\x + (1/5)x + 1/5 = 2\\(6/5)x = 9/5\\x = 3\\\)
\(y = (1/5)(3) + 1/5\\y = 4/5\\AP = \sqrt[(3 - (-7))^2 + (4/5 - (-1))^2] = \sqrt[10^2 + 9/5^2] = \sqrt[100 + 81/25] = \Sqrt[4301]/5\\PB = \Sqrt[(8 - 3)^2 + (2 - 4/5)^2] = \sqrt[25 + 81/25] = \sqrt[3206]/5\\\)
The ratio in which AB is divided by x + y = 2 is:
\(AP:PB = \sqrt[4301]:\sqrt[3206] = 65.63:56.63 \\\)
As a result, the line connecting the points A(-7, -1) and B(8, 2) is divided by the line x + y = 2 in the ratio about 65.63:56.63.
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Find the product. Simplify your answer.
–5(–3k^2–2k–4)
Answers
Answer:
15k² + 10k + 20
Step-by-step explanation:
You can solve this equation by distributing -5 to all terms in the parenthesis
Solve:
-5(-3k² - 2k - 4) ← Watch out for the signs in front of the numbers !-5(-3k²) - 5(-2k) - 5(-4) ←Negative times negative equals positive !15k² + 10k + 20Your solution is 15k² + 10k + 20
-Chetan K
Answer:
Of course,you have studied the multiplication of the different signs in arithmetic.Here you remember the rules again.
(+)×(+)=(+),(+)×(-)=(-),(-)×(-)=(+)(-)×(+)=(-)Now,The question is -5(-3k^2-2k-4)
\( - 5( - 3 {k}^{2} - 2k - 4)\)
\(15 {k}^{2} + 10 k + 20\)
Select all expressions that represent the total area of the large rectangle.
Answers
Answer:
a. 5(x + y)
c. 5x + 5y
Step-by-step explanation:
The area = length * width.
A player in a board game rolls a six-sided number cube labeled 1 through 6 once. determine the theoretical probability of rolling a 1 or 2. express your answer as a fraction in simplest form.
Answers
The theoretical probability of rolling a 1 or 2 is 2/6, which simplifies to 1/3.
When you roll a six-sided number cube labeled 1 through 6, there are 6 possible outcomes that could occur. Rolling a 1 or 2 is considered a success, and there are two possible ways for this to happen. Therefore, the theoretical probability of rolling a 1 or 2 can be found by dividing the number of successful outcomes by the total number of possible outcomes. This gives us 2/6, which can be simplified to 1/3. This means that if you were to roll the number cube many times, you would expect to get a 1 or 2 about one-third of the time on average.
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-30-0.6k
what does k equal?
Answers
Answer:
K would equal to:
K= 50
Hope that helps! :)
Step-by-step explanation:
quadrilateral $abcd$ is a square. let $a,$ $b,$ $c$ be parallel lines passing through $a$, $b$, $c$, respectively. the distance between lines $a$ and $b$ is $12,$ and the distance between lines $b$ and $c$ is $17$. find the area of square $abcd$.
Answers
The area of square abcd is be parallel lines passing through $a$, $b$, $c$, respectively is the 433.
Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.
Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.
The distance is 12 and 17
x^2 = 12^2 + 17^2 = 144 +289 = 433
433 is the total that is the area of square of abcd.
Thus the area = 433.
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Reuben wants to rent a boat and spend at most $26.The boat costs $17 per hour, and Reuben has a discount coupon for $9 off. What are the possible numbers of hours Reuben could rent the boat?
Use t for the number of hours.
HELP PLEASE!!!!!!
Answers
Answer:
2 hours
Step-by-step explanation:
The equation:
So first add 9 to 26
26 + 9 = 35
35 is the highest we can go when multiplying 17.
Now divide 35 by 17.
The answer is 2.058….
Remove the numbers after the decimal and you have 2.
Therefore, two hours is the answer.
17 x 2 = 34
34 - 9 = 25
Two hours is correct
Find the possible value of n in the inequality -3n <81
a.n <27
b is wrong
c.n=27
d. n>-27
Answers
The correct answer is option (a) n < 27. By dividing both sides of the inequality by -3, we get n > -27.
To solve the inequality -3n < 81, we divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign changes. Dividing both sides by -3 gives us n > -27. So, the correct answer is option (d) n > -27.
The reasoning behind this is that dividing by -3 reverses the inequality sign, which means that the less than ("<") sign becomes a greater than (">") sign.
Option (a) n < 27 is incorrect because dividing by -3 changes the direction of the inequality. Option (b) is stated to be wrong. Option (c) n = 27 is incorrect because the original inequality is strict ("<") and not an equality ("=").
Therefore, By dividing both sides of -3n < 81 by -3, we get n > -27. Therefore, the correct answer is option (a) n < 27.
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College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
Answers
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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In a grou of 6 people 45 like apple 30 like banana 15 like orange .if total number of people who like only two fruit is 22 and they like atleast one of the fruits .find the no. of people who like all the fruit
Answers
To find the number of people who like all three fruits, we can use the principle of inclusion-exclusion.In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges.
The total number of people who like only two fruits is 22, and they like at least one of the fruits.
Let's break it down:
- The number of people who like apples only is 45 - 22 = 23.
- The number of people who like bananas only is 30 - 22 = 8.
- The number of people who like oranges only is 15 - 22 = 0 (since there are no people who like only oranges).
To find the number of people who like all three fruits, we need to subtract the number of people who like only one fruit from the total number of people in the group:
6 - (23 + 8 + 0)
= 6 - 31
= -25.
Since we can't have a negative number of people, there must be an error in the given information or the calculations. Please check the data provided and try again.
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There are no people in the group who like all three fruits. In a group of 6 people, 45 like apples, 30 like bananas, and 15 like oranges. We need to find the number of people who like all three fruits. To solve this, we can use a formula called the inclusion-exclusion principle.
This principle helps us calculate the number of elements that belong to at least one of the given sets.
Let's break it down:
1. Start by adding the number of people who like each individual fruit:
- 45 people like apples
- 30 people like bananas
- 15 people like oranges
2. Next, subtract the number of people who like exactly two fruits. We know that there are 22 people who fall into this category, and they also like at least one of the fruits.
3. Finally, add the number of people who like all three fruits. Let's denote this number as "x".
Using the inclusion-exclusion principle, we can set up the following equation:
45 + 30 + 15 - 22 + x = 6
Simplifying the equation, we get:
68 + x = 6
Subtracting 68 from both sides, we find that:
x = -62
Since the number of people cannot be negative, we can conclude that there are no people who like all three fruits.
In conclusion, there are no people in the group who like all three fruits.
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Suppose you physically simulate the random process of rolling a single die. (a) After 1010 rolls of the die, you observe a "one" 44 times. What proportion of the rolls resulted in a "one"? (b) After 2020 rolls of the die, you observe a "one" 22 times. What proportion of the rolls resulted in a "one"?
Answers
Answer:
(a) 0.4 or 40%
(b) 0.1 or 10%
Step-by-step explanation:
(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:
\(p=\frac{4}{10}\\ p=0.4\)
(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:
\(p=\frac{2}{20}\\ p=0.1\)
use the normal approximation to the binomial distribution and part (b) to answer the following question: what is the probability that a seat will be available for every person who shows up holding a reservation? (round your answer to four decimal places.)
Answers
The probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).
To use the normal approximation to the binomial distribution, we first need to check if the conditions for the approximation are met.
The conditions are:
1. The sample size is large enough (np ≥ 10 and nq ≥ 10)
2. The probability of success (getting a seat) is constant for each trial (person)
3. The trials are independent of each other
Assuming these conditions are met, we can use the normal distribution to approximate the binomial distribution.
Let p = probability of getting a seat = 0.95 (since each person holding a reservation has a 95% chance of getting a seat)
Let n = number of people with reservations who show up = 100 (this is not explicitly given, but we need to assume a value to solve the problem)
Calculate the mean (µ) and standard deviation (σ) of the binomial distribution using the formulas:
µ = n * p
σ = sqrt(n * p * (1-p))
The mean of the binomial distribution is μ = np = 100 * 0.95 = 95
The standard deviation of the binomial distribution is σ = sqrt(npq) = sqrt(100 * 0.95 * 0.05) = 2.179
Using the normal approximation, we can find the probability that all 100 people get a seat:
Calculate the z-score using the formula:
z = (x - µ) / σ
P(X = 100) ≈ P(X > 99.5)
where X is the number of people who get a seat
We use X > 99.5 instead of X = 100 because the normal distribution is continuous while the binomial distribution is discrete.
Using the standard normal distribution table or calculator, we find that the probability of Z > 2.179 (where Z is the standard normal random variable) is 0.0141.
Therefore, the probability that a seat will be available for every person who shows up holding a reservation is approximately 0.0141 or 1.41% (rounded to four decimal places).
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A system of linear equations consists of the ____________ of _______ lines.
Answers
Answer:
A system of linear equations consists of the two lines of more equations lines
Step-by-step explanation:
hope it helps
if wrong pls forgive me
mark me brainliest pls
Answer:
the peraon above is correct
A trapezoid has an area of 27.5
cm². What is the measure of the
height if the bases measure 7 cm
and 4 cm?
Answers
Answer:
The height is 5 cm.
Step-by-step explanation:
a = 1/2(\(base_{1}\) + \(base_{2}\))h
27.5 = 1/2(7+ 4) h
27.5 = 1/2 (11) h
27.5 = 5.5 h Divide both sides by 5.5
5 = h
Answer:
5cm
Step-by-step explanation:
Given ,
A trapezoid has an area of 27.5cm²bases measure 7 cm and 4 cmTo Find : The height of the Trapezoid
In order to find the height of the trapezoid we
\(27.5 = \frac{1}{2} X ( 7+4)h\)
\(27.5X2 = 11 X h\)
\(55 = 11h\\\frac{55}{11}= h\\ 5 = h\)
Hence, the height of the trapezoid is 5cm
The smallest angle of rotational symmetry for a regular polygon is 30°. how many sides does the regular polygon have? 9 12 20 30
Answers
The regular polygon must have 12 sides so the smallest angle of rotational symmetry is 30°
How many sides the polygon have?We know that the smallest angle of rotational symmetry is 30°, then the exterior angles must measure that.
Remember that the sum of the exterior angles of a regular polygon must be equal to 360°, then we have:
360° = n*30°
Where n is the number of sides
Solving for n we get:
n = 360°/30° = 12
We conclude that the regular polygon has 12 sides.
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Answer: B. 12
Step-by-step explanation: On Edge!!!
Anybody know the answer for this? ;-;
Answers
Answer: the first answer choice
Step-by-step explanation:
Answer:
i think its the bottom one but i dont know
Step-by-step explanation:
5. Name the angle that is supplementary to COD.
A
F
OZCOA
O ZBOC
OLCOB
O ZBOA
B
O
۶,
D
(1 point)
Answers
Answer: D
Step-by-step explanation:
D. OLCOB. This angle is supplementary to COD because the two angles add up to 180°. OLCOB has a measure of 180° - 90° = 90°, which is supplementary to the 90° measure of COD.
Did I solve this problem correctly?
Answers
Answer:
yes
Step-by-step explanation:
Which expressions is not polynomial
Answers
Answer: c
Step-by-step explanation:
please I'm in desperate need of help, click the picture
Answers
Answer:
Triangle=1 square=2
gear=3 pentagon=4
I hopes this helps you :)
an education can be the key to higher earnings. in a u.s. census bureau study, high school graduates earned $30,400 per year. associate’s degree graduates averaged $38,200 per year. bachelor’s degree graduates averaged $52,200 per year
Answers
The given statement "an education can be the key to higher earnings" is true, as a U.S. Census Bureau study shows that earnings increase with the level of education.
The study shows that high school graduates earned $30,400 per year, associate’s degree graduates averaged $38,200 per year, and bachelor’s degree graduates averaged $52,200 per year. This indicates that an individual's earnings will increase with their level of education.
As an individual's level of education increases, their earnings also increase. The U.S. Census Bureau study demonstrates that a high school graduate earns less than an associate's degree graduate, and an associate's degree graduate earns less than a bachelor's degree graduate.
This is because education enables an individual to obtain better job opportunities and more specialized skills in their area of interest, which are valued in the job market. As a result, higher education has a significant impact on an individual's income.
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find the volume of this cylinder use 3 for pie V= pier2h V=pie{?} 2 { } 8cm 20 cm
Answers
The volume of this cylinder is equal to 675 cm².
How to calculate the volume of a cylinder?Mathematically, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.Substituting the given parameters into the volume of a cylinder formula, we have the following;
Volume of a cylinder, V = πr²h
Volume of a cylinder, V = 3 × 5² × 9
Volume of a cylinder, V = 3 × 25 × 9
Volume of a cylinder, V = 675 cm².
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Use polar coordinates to find the volume of the given solid. Inside both the cylinder x2 + y2 = 9 and the ellipsoid 4x2 + 4y2 + z2 = 64.
Answers
The volume is equal to : V = 512pi/3 - (40√15)pi.
First let's imagine how the solid looks like.
Let's rearrange the equation of the ellipsoid to find semi-axes:
4x² + 4y² + z² = 64
x²/16 + y²/16 + z²/64 = 1
So semi-axes are a=4, b=4, c=8. So x varies (-4, 4), y from(-4,4) and z from (-8, 8). So ellipsoid is much wider than the cylinder.
Cylinder defines region in xy plane and the ellipsoid bounds solid from bellow and from above.
Let's find the region in the xy plane. (You may skip this part if you understand from above that the region in xy plane is a disk x² + y² ≤ 1)
The region R is bounded by the cylinder x² + y² = 1 (1) and projection of the ellipsoid in the xy plane:
z=0 and 4x² + 4y² + z² = 64
4x² + 4y² = 64
x² + y² = 16...(2)
So the region in xy plane is bounded by two circles (1) and (2) and actually is inside both of them:
Introduce polar coordinates
x = r cost, y = r sint
Then integration limits for thr region R:
0<= t <= 2pi
0 <= r <= 1
Next let's find the limits for z from the equation of the ellipsoid:
4x² + 4y² + z² = 64
4(x² + y²) + z² = 64
4r² + z² = 64
z² = 64 - 4r²
z² = 4 (16 - r²)
z = +/- 2 √(16 - r²)
So the integration limits for z : -2 √(16 - r²) <= z <= 2 √(16 - r²).
But as the solid is symmetrical we can take just a half and double the volume:
V = 2* (0, 2pi) ∫ (0, 1)∫ (0, 2 √[16 - r²]) ∫ r dz dr dt
After integration the volume is equal to
V = 512pi/3 - (40√15)pi.
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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 380 ft greater than the width The flag's width is ft.
Answers
Answer:
the width is 360 ft
Step-by-step explanation:
The computation of the width of the flag is shown below:
Let us assume the width be x
So the length would be x + 340
And, the perimeter is 2,120 ft
So the formula is
Perimeter = 2(length + width)
2,120 = 2(x + 340 + x)
2,120 = 2x + 680 + 2x
2,120 = 4x + 680
4x = 2,120 - 680
x = 360
hence, the width is 360 ft
what value of x makes 8x - 20 equals to 44?
Answers
Answer:
x = 8
Step-by-step explanation:
8x - 20 = 44
8x - 20 + 20 = 44 + 20
8x = 64
8x ÷ 8 = 64 ÷ 8
x = 8
72,12,2 simplest form
Answers
Answer:
456748
Step-by-step explanation:
you 463uy2iuswhk then 13456
Which of the following four equations has the solution of the lowest value?(1 point)
x + 19 = −5
x + 25 = 2
x − 7 = 28
x − 6 = −16
Answers
member of wanna one?
help me plss
patulong naman po
Answers
Answer:
what yo are telling l can't understand your language
What is the surface of the prism
Answers
Answer:
The third answer is correct
Step-by-step explanation:
Given:
A net of a rectangular prism
l (length) = 11,75 cm
w (width) = 5,75 cm
h (height) = 4 cm
Find: A (surface area) - ?
The surface area is equal to the sum of the areas of all the sides
There are:
2 sides with dimensions of 11,75 cm and 4 cm
2 sides with dimensions of 5,75 cm and 11,75 cm
2 sides with dimensions of 4 cm and 5,75 cm
\(a(surface) = 4 \times 11.75 \times 2 + 5.75 \times 11.75 \times 2 + 4 \times 5.75 \times 2 = 275.125 = 275 \frac{1}{8} \: {cm}^{2} \)