Answer:
A
Step-by-step explanation:
The coordinate is in the form (x,y) so the x-coordinate would be 6
Alison used a coordinate grid to show where the trees are in her backyard. She wants to put a birdbath exactly halfway between the two oak trees. What are the coordinates of this location? If each grid represents 1 foot, how far apart are the two oak trees? What is the perimeter of the triangle determined by the three trees? (Round your answer to the nearest foot)
Answer:(5,4)
Step-by-step explanation:
PLEASE ANSWER ASAP! Which of the following ratios will form a proportion with 2/3?
A 6/15
B 12/18
C 9/12
D 6/8
ASAP? oh ok
Answer:
12/18
Step-by-step explanation:
Simplifying 12/18 makes it 2/3
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the
police station and the fire station. The distance between the library and the police station is 5 miles. How far apart
are the police station and the fire station?
O 1 mile
O 3 miles
O4 miles
O6 miles
Answer:
C. 4 milesStep-by-step explanation:
Let the distance between police station and the fire station be x.
According to question we have:
the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station,the distance between the library and the police station is 5 miles.It can be expressed as:
5 = 2x - 3Solve the equation for x:
2x = 5 + 32x = 8x = 4Correct choice is C
LTE 4:34 3 of 25 Done GENERAL DIRECTIONS The mutiple choc quaers. Look you can apportin com beg of the estig da A e PEN MULTIPLE CHOICE (Warth points each Put the best serion to the problem An apple grower finds that if she plants 65 trees per acre, each tree wa yell 22 bushels of ut ne estimates that for each additional tree planted per acre, the yield of each tree wi bushels Oven a price of $2.50 per bushet find the maximum revenue and how many trees shat she plant per acre to maximize her harvest? decrease A 27 trees per acre, maximum revenue of $7,480 8.27 tives per acre, maximum revenue of $7.480 C38 trees per acre, maximum revenue of $7.480 D.65 trees per acre, maximum revenue of $7,480 2 A rectangle is three times as long as it is wide Squares of side 8 inches are cut out from each comer Then the sides are folded up to make an open box Express the volume of the box as a function of the width (w) A I(w) 8(-8)(3-24) 37-384-2048 B. Pw) 8-16)(3-16) 3u-5122048 C.Ft) 8(-16)(3-16) 24²-512w 2048 D. tw) 8(-16)(3-24) 24²-576w+ 3072 !!!
Simplifying this equation gives the correct option as C. V(w) = 24w² - 512w + 2048.
To simplify an equation, we need to perform various operations to reduce it to a simpler or more manageable form. The specific steps for simplification depend on the equation and the desired form.
Here is the solution for the two questions:
Question 1:
The given problem can be solved by using the formula:
Revenue = number of trees * yield per tree * price per bushel
So, the maximum revenue will occur at a point where the derivative of the above formula will be equal to 0.
Then we can find the number of trees that need to be planted.
Thus, the correct option is B.27 trees per acre, maximum revenue of $7.480
Question 2:
The given diagram will look like the following:
The original length of the rectangle will be 3w and the original width will be w. Then, the side of each square that is cut out will be 8 inches. Thus, the width of the box will be w - 2 * 8 and the length will be 3w - 2 * 8.
Therefore, the volume of the box is given by:
V(w) = 8 * (w - 16) * (3w - 16)
Simplifying this equation gives the correct option as C.
V(w) = 24w² - 512w + 2048.
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A rectangular prism has a length of 10in, a height of 15in, and a width of 8in. What is its volume, in cubic in?
Answer:
1200 inc^3
Length x width x height
10 x 8 x 15= 1200
Noah is buying a pair of boots that cost $60. He has to pay 4% sales tax. How much will he pay in all?
Answer:
$62.40
Step-by-step explanation:
0.04 x 60 = 2.40
60 + 2.40 = $62.40
Hope this helps! Pls give brainliest!
Answer:
$62.40
Step-by-step explanation:
4% of $60 = $2.40
2.40 + 60 = 62.40.
He pays $62.40 in all.
It took 1649 years for the world population to double, going from 0.25 billion people to 0.5 billion people. Looking at your graph, how many years did it take for the population to double once again
Rates of birth and death within that group dictate the rate at which world's population would double.
The human population doubled from 500 million to 1 billion people in how long?200 years
500 million people became 1 billion people around the world in 200 years, or until 1825. The second doubling, from 1 billion to 2 billion in 1930, only took 100 years. The subsequent doubling, from 4 billion to 6 billion by 1975, only took 45 years. The first billion people on earth were present in the year 1830; the second billion were present in the years 1830 to 1930; and the third billion were present in the year 1990, which happened 60 years later.
The world's population increased to 500 million to one billion people in 200 years, starting in 1825.
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Lina goes to another bank that offers her 7% interest on her $200. After 1 year, how much would she have earned?
Jaymes Corporation produces high-performance rotors. It expects to produce 30,000 rotors in the coming year. It has invested $6,000,000 to produce rotors. The company has a required return on investment of 11%. What is its ROI per unit?
The ROI per unit for Jaymes Corporation's rotors is $200.
To calculate the ROI per unit, we need to divide the total return on investment by the number of units produced. In this case, the company has invested $6,000,000 to produce 30,000 rotors.
ROI per unit = Total ROI / Number of units produced
Total ROI = $6,000,000
Number of units produced = 30,000
ROI per unit = $6,000,000 / 30,000 = $200
Therefore, the ROI per unit for Jaymes Corporation's rotors is $200. This means that for every rotor produced, the company expects to generate a return of $200.
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9/4x -1/2y = -3
Find x and y intercepts
Answer:
x-int: (-12/9, 0)
y-int: (0, 6)
Step-by-step explanation:
x-int ==> on x-axis when y=0
y-int ==> on y-axis when x=0
9/4x -1/2y = -3
x-int: 9/4x -1/2(0) = -3
9/4x = -3
9x/4 = -3
9x*4/4=-3*4
9x=-12
x=-12/9 ==> x-int: (-12/9, 0)
y-int: 9/4(0) -1/2y = -3
-1/2y = -3
1/2y=3
y/2=3
y=6 ==> y-int: (0, 6)
Find the distance from the point to the given plane. (1, −3, 4), 3x + 2y + 6z = 5
The distance from the point to the given plane is 16/7 units.
To find the distance from a point to a given plane, we can use the formula:
distance = |ax + by + cz - d| / √(a^2 + b^2 + c^2)
where (x, y, z) are the coordinates of the point, and a, b, c, and d are the coefficients of the plane equation.
In this case, the point is (1, -3, 4) and the plane equation is 3x + 2y + 6z = 5.
Let's plug in the values:
distance = |(3*1) + (2*(-3)) + (6*4) - 5| / √(3^2 + 2^2 + 6^2)
Simplifying:
distance = |3 - 6 + 24 - 5| / √(9 + 4 + 36)
distance = |16| / √49
distance = 16 / 7
Therefore, the distance from the point (1, -3, 4) to the plane 3x + 2y + 6z = 5 is 16/7 units.
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If we stack two truncated tetrathingies together so they anti-fit, how many ways are there to color in the bottom ttt using the same four colors as the top ttt... so that no two chunks of the same color are touching
According to the question There are 108 ways to color the bottom truncated tetrathingy using the same four colors as the top truncated tetrathingy, ensuring that no two chunks of the same color are touching.
To solve this problem, we can consider each chunk of the bottom truncated tetrathingy individually and determine the number of color options for each chunk while ensuring that no two adjacent chunks have the same color.
Since we have four colors available, let's label them as A, B, C, and D.
Let's start with the first chunk. We have four color options for it.
For the second chunk, we have three color options available. We cannot use the color that was used for the adjacent chunk, so we have three choices.
For the third chunk, we again have three color options available, excluding the color used for the second chunk.
Lastly, for the fourth and final chunk, we have three color options available, excluding the color used for the third chunk.
Since each chunk's color choice is independent of the others, we can multiply the number of color options for each chunk together to find the total number of ways to color the bottom truncated tetrathingy:
Number of ways = 4 * 3 * 3 * 3 = 108 ways
Therefore, there are 108 ways to color the bottom truncated tetrathingy using the same four colors as the top truncated tetrathingy, ensuring that no two chunks of the same color are touching.
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Find the distance between the points (–8,5) and (4,0).
Help me with please and thanks
Answer: b
Step-by-step explanation:
The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).
I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!
Which of these inequalities is graphed below?
Answer:
can u plz put a picture
Step-by-step explanation:
Answer:
I think it’s D not sure tho
Step-by-step explanation:
write an equation that represents the statement below."Twelve less than a number, ×, is 18."
x - 12 = 18 is the the equation that represents ."Twelve less than a number, ×, is 18."
What is linear equation ?In a linear equation, the variable's greatest power always equals 1. It is sometimes referred to as a one-degree equation. The usual form of a linear equation with one variable is written as Ax + B = 0. In this case, x is a variable, A is a coefficient, and B is a constant. The typical form of a linear equation with two variables is Ax + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant. Equations with a degree of 1 are considered to be linear. This shows that a linear equation with an exponent larger than one has no variables.Calculationgiven the number is x
the equation of the given statement
x - 12 = 18
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A cone has the same height of 13 of the radius of the original cone. Complete the expression for its volume.
The volume of the cone with a height of 13 times the radius of the original cone can be expressed as V = (1/3)πr^2(13r), where r is the radius.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height. In this case, the height of the new cone is 13 times the radius of the original cone.
Therefore, we can replace the height, h, with 13r, where r is the radius. Substituting this into the volume formula, we get V = (1/3)πr^2(13r).
This expression represents the volume of the cone with a height of 13 times the radius of the original cone. By plugging in the value of the radius, we can calculate the actual volume of the cone.
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The polygon is composed of three rectangles. 4 ft 4 ft 2 ft 3 ft 4 ft 8 1 2 ft What is the area, in square feet, of the polygon?
For a polygon which is composed of three rectangles and dimensions are 4 ft× 2ft, 4 ft× 3 ft , 8 ft × 1.2ft. Area of polygon is 29.6 ft².
In geometry, a polygon is defined as the flat or plane surface, two-dimensional closed shape of boundaries. The sides of a polygon are also known as its edges. The points where two sides meet are called vertices (or corners) of a polygon. We have a polygon is composed of three rectangles.
The dimensions of rectangles are the following, 4 ft× 2ft, 4 ft× 3 ft , 8 ft × 1.2ft. We have to determine the area of polygon in square feet. The area of a polygon is defined as total space covered within the shape. The measurement is completed with square units. Rectangles are regular shape. The area of rectangle = length × width
Total area of polygon is equals to the sum of areas of three rectangles. So, area of polygon = 4 ft × 2 ft + 4 ft × 3 ft + 8 ft × 1.2 ft
= 8 ft² + 12 ft² + 9.6 ft²
= 29.6 ft²
Hence, required value is 29.6 ft².
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a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years. what is the 95% confidence interval estimate for the average number of years served by all supreme court justices? place your limits, rounded to 1 decimal place,
"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.
The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,
we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)
= 13.8 ± (1.96 × 1.088)
= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13
= 15.9313.8 - 2.13
= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].
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The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups
Answer:
Step-by-step explanation:
The answer is There are 3 gallons
Jessie bought 4 balls of wool to knit sweaters for her children, and 5 balls of wool for herself. Then she spent $9.45 on knitting accessories. The total cost of the wool and the accessories was $28.71. Identify the equation and its solution that would help to find the cost of each ball of wool.
Step-by-step explanation:
first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45
The cost of each wool ball will be $2.14.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
Jessie bought 4 balls of wool to knit sweaters for her children and 5 balls of wool for herself. Then she spent $9.45 on knitting accessories. The total cost of the wool and the accessories was $28.71.
Let x be the cost of each wool ball. Then the equation will be
9x + 9.45 = 28.71
Simplify the equation, then we have
9x = 28.71 - 9.45
9x = 19.26
x = 19.26 / 9
x = $2.14
The cost of each wool ball will be $2.14.
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what is the slope for a line that is perpendicular to the line y=-5+4
Answer:
just change the signs
Step-by-step explanation:
y=5-4
2 3/4 + 5 1/2 please answer fast
hope this helps you
8 1/4
PLZ MARK BRAINLY
Step-by-step explanation:
2¾+5½
4x2+3=11
2x5+1=11
therefore we have
11/4 + 11/2
(11+22)/4
33/4= 8¼
Cars arrive at a toll booth according to a Poisson process at a rate of 3 arrivals per minute.
a) What is the probability that the third car arrives within 3 minutes of the first car?
b) Of the cars arriving at the booth, it is known that over the long run 60% are Japanese imports. What is the probability that in a given ten-minutes interval, 15 cars arrive at the booth, and 10 of these are Japanese imports? State your assumptions.
a) The probability that the third car arrives within 3 minutes of the first car is 0.6331.
b) The probability that in a given ten-minutes interval, 15 cars arrive at the booth, and 10 of these are Japanese imports is 0.2023
a) The arrival of cars at the toll booth follows a Poisson process with a rate of 3 arrivals per minute. Let X be the time between the first and third car arrivals. Then X is exponentially distributed with a mean of 1/3 minutes. We want to find the probability that X is less than or equal to 3.
Let Y be the number of car arrivals in the first 3 minutes. Y follows a Poisson distribution with a mean of lambda = 3*3 = 9, since there are 3 minutes and 3 arrivals per minute. Then, the probability that the third car arrives within 3 minutes of the first car is equal to the probability that there are at least 3 arrivals in the first 3 minutes, which is given by:
P(Y >= 3) = 1 - P(Y < 3) = 1 - P(Y = 0) - P(Y = 1) - P(Y = 2)
= 1 - e^(-9) - 9e^(-9) - (81/2)e^(-9)
= 0.6331 (rounded to four decimal places)
Therefore, the probability that the third car arrives within 3 minutes of the first car is 0.6331.
b) Let Z be the number of car arrivals in a 10-minute interval. Z follows a Poisson distribution with a mean of lambda = 10*3 = 30, since there are 10 minutes and 3 arrivals per minute. Let W be the number of Japanese imports in the same 10-minute interval. We are given that 60% of the cars are Japanese imports, so the probability that a given car is a Japanese import is 0.6. Therefore, W follows a binomial distribution with parameters n = Z and p = 0.6.
We want to find the probability that 15 cars arrive at the booth and 10 of them are Japanese imports. This can be calculated using the binomial distribution as follows:
\(P(W = 10 | Z = 15) = (15 choose 10)(0.6)^10(0.4)^5\)
= 0.2023 (rounded to four decimal places)
Here, we assumed that the arrivals are independent and identically distributed, which is a reasonable assumption for a Poisson process. We also assumed that the probability of a car being a Japanese import is the same for each car arrival, which may not be entirely accurate in practice.
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Orlando is 12 years older than Omar. Carl is three times older than Orlando. The sum of their ages is 68.Find the ratio of Omar’s age to Carl’s age to Orlando’s age.
Step-by-step explanation:
let's name the variables for the age of the people as the people themselves :
orlando = omar + 12
carl = 3×orlando
carl + orlando + omar = 68
using the first equation in the second equation, and then that result and the first equation in the third equation :
carl = 3×(omar + 12)
3×(omar + 12) + (omar + 12) + omar = 68
3×omar + 36 + omar + 12 + omar = 68
5×omar + 48 = 68
5×omar = 20
omar = 4
orlando = omar + 12 = 4 + 12 = 16
carl = 3×orlando = 3×16 = 48
the ratio omar : carl : orlando
4 : 48 : 16 = 1 : 12 : 4
What kind of transformation converts the graph of f(x)=|x–6|–6 into the graph of g(x)=|x|–6?
\(\mathrm{Domain\:of\:}\:\left|x-6\right|-6\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}\)
\(\mathrm{Range\:of\:}\left|x-6\right|-6:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-6\:\\ \:\mathrm{Interval\:Notation:}&\:[-6,\:\infty \:)\end{bmatrix}\)
\(\mathrm{Axis\:interception\:points\:of}\:\left|x-6\right|-6:\quad \mathrm{X\:Intercepts}:\:\left(0,\:0\right),\:\left(12,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:0\right)\)
\(\mathrm{Asymptotes\:of}\:\left|x-6\right|-6:\quad \mathrm{None}\)
\(\mathrm{Extreme\:Points\:of}\:\left|x-6\right|-6:\quad \mathrm{Minimum}\left(6,\:-6\right)\)
Solve the following equations:
a) (x-3)(-2x+1)= 0.
b) (x+7)(2-4x)=0.
Answer:
hope it's help you sorry for dirty handwriting
Kelly wants to decrease her daily sugar intake from 40 grams of sugar to 30 grams of sugar. By what percentage does Kelly want to decrease her daily intake of sugar?
10%
⊝
25%
⊝
75%
⊝
90%
Answer:
10% is the answer to this question
Which of the following is a correct conversation factor?
Answer:
B
Step-by-step explanation:
1000mm=1m
Help urgent
A construction worker on the ground tosses an apple to a fellow worker who is 20. ft. above
the ground. The starting height of the apple is 5 ft. Its initial upward velocity is 32 ft/s. At
what time(s) will the apple be at the same height as the worker? (h=-16t+ vt +c, where h
is the height, v is the initial velocity and c is the starting height.)
The apple will be at the same height of 20ft as the construction worker at t = 3/4sec and t = 5/4sec.
It is given that h = -16t^2 + vt +c
v = 32ft/sec , c = 5ft , h =20ft
So plugging in these values into the formula we have
20 = -16t^2 + 32t + 5
\($\Rightarrow 16t^2 -32t + 15 =0\)
\($\Rightarrow 16t^2 -20t - 12t + 15 =0\)
\($\Rightarrow 4t(4t - 5) -3(4t - 5) = 0\)\($\,\,\,\Rightarrow (4t-3)(4t-5) = 0\)\($\Rightarrow 4t-3 =0 \Rightarrow t = 3/4\,\,\textrm{ and } \,\, 4t-5 =0 \Rightarrow t = 5/4\)
So t = 3/4 and at t = 5/4 are two times when the apple will be at an elevation of h = 20ft.
What is projectile motionThe motion of an object launched into free motion under gravity is called projectile motion. During this motion, the only force acting on the object is gravity, whose value is -32ft/sec^2. During this motion, the y coordinate is given by \(y = u_yt -(1/2)gt^2 + y_0 = u_yt - 16t^2 + y_0\). here \(u_y\) is the vertical component of the initial velocity and \(y_0\) is the initial y coordinate. The value of the x coordinate is given by \(x = u_xt\), where \(u_x\) is the horizontal component of the initial velocity.
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