Answer:
a
Step-by-step explanation:
I just did the test
Answer:
The effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3) is that it translates horizontally 3 units right.
When a function is replaced with f(x - c), where c is a positive constant, the graph of the function shifts horizontally c units to the right. Similarly, if c is negative, the graph shifts horizontally c units to the left.
Therefore, replacing f(x) with f(x - 3) in the function f(x) = 2^x shifts the graph of the function horizontally by 3 units to the right.
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Find the are 22ft 37ft 38. 09ft 109degrees 138degrees
Answer:
B.
Step-by-step explanation:
I just took the test
You are given 0.10 g samples of Na, Y. Go, and Mn. List the samples in order of the amount (moles) from smallest to largest OY
Therefore, the order of the samples from smallest to largest amount (moles) of OY is: Go, Y, Na, Mn.
In order to list the samples in order of the amount (moles) from smallest to largest OY, we need to calculate the number of moles of each element. Let's start with the given samples:Na -[tex]0.10 gY - 0.10 gGo - 0.10 gMn - 0.10 g[/tex]
Now, let's find the number of moles of each element:Na: The molar mass of Na is 22.99 g/mol.Number of moles of Na = mass of Na/molar mass of Na= 0.10 g/22.99 g/mol= 0.00435 molY: The molar mass of Y is 88.91 g/mol.Number of moles of Y = mass of Y/molar mass of Y= 0.10 g/88.91 g/mol= 0.00112 molGo: The molar mass of Go is 118.71 g/mol.Number of moles of Go = mass of Go/molar mass of Go= 0.10 g/118.71 g/mol= 0.00084 molMn: The molar mass of Mn is 54.94 g/mol.
Number of moles of Mn = mass of Mn/molar mass of Mn= 0.10 g/54.94 g/mol= 0.00182 molNow, we can list the samples in order of the amount (moles) from smallest to largest OY:Go (0.00084 mol) < Y (0.00112 mol) < Na (0.00435 mol) < Mn (0.00182 mol)
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The cost of 5 skirts and 3 blouses is sh. , 750. Mueni bought three of the the skirts and one of the blouses for sh. 850. Find the cost of each item solve with formula
As per the unitary method, the cost of one skirt is sh 20 and the cost of one blouse is sh 550.
Let us assume that the cost of one skirt is x and the cost of one blouse is y. We can now form two equations based on the given information.
Equation 1: 5x + 3y = 1750
This equation represents the cost of 5 skirts and 3 blouses together, which is given as sh 1750.
Equation 2: 3x + y = 850
This equation represents the cost of 3 skirts and 1 blouse, which is given as sh 850.
To apply the unitary method here, we can first find the value of one skirt by dividing equation 1 by 5, and then find the value of one blouse by subtracting 3 times the value of one skirt from equation 2.
Dividing equation 1 by 5, we get:
x + (3/5)y = 350
Subtracting 3 times the value of one skirt from equation 2, we get:
y = 850 - 3x
y = 850 - 3(350/5)
y = 550
So, we have found the value of y, which is the cost of one blouse. Now, we can substitute this value of y in equation 1 to find the value of x, which is the cost of one skirt.
5x + 3(550) = 1750
5x + 1650 = 1750
5x = 100
x = 20
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|x-3|\ge11 ∣x−3∣≥11 please anwser quickly
The given inequality is [tex]|x-3|/11 \geq 1[/tex]and the solution to the inequality is [tex]x \leq -8[/tex] or [tex]x \geq 14.[/tex]
We want to solve for [tex]x[/tex], which means we want to find all possible values of [tex]x[/tex] that satisfy the inequality.
To start, we multiply both sides of the inequality by 11, which gives us:
[tex]| x - 3 | \geq 11[/tex]
Now we have an inequality without any fractions. The absolute value sign means that we need to consider two cases: one where [tex]x-3[/tex] is positive, and one where [tex]x-3[/tex] is negative.
Case 1: [tex]x-3[/tex] is positive
If [tex]x-3[/tex] is positive, then [tex]| x - 3 |[/tex] is equal to [tex]x-3[/tex]. So we can rewrite the inequality as:
[tex]x - 3 \geq 11[/tex]
Adding 3 to both sides, we get:
[tex]x \geq 14[/tex]
This means that if [tex]x[/tex] is greater than or equal to 14, then the inequality is satisfied.
Case 2: [tex]x-3[/tex] is negative
If [tex]x-3[/tex] is negative, then [tex]| x - 3 |[/tex] is equal to [tex]-(x - 3)[/tex]. So we can rewrite the inequality as:
[tex]-(x - 3) \geq 11[/tex]
Multiplying both sides by -1, we get:
[tex]x - 3 \leq -11[/tex]
Adding 3 to both sides, we get:
[tex]x \leq -8[/tex]
This means that if [tex]x[/tex] is less than or equal to -8, then the inequality is satisfied.
Putting these two cases together, we get:
[tex]x \leq -8[/tex] or [tex]x \geq 14[/tex]
These are all the possible values of [tex]x[/tex] that satisfy the inequality.
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The complete question is:
Solve the equation: | x - 3 | / 11 ≥ 11 and determine the type of solution.
A rocket is launched from the top of a 90 foot cliff with an initial velocity of 160 feet per second. The height, h, of the rocket after t seconds is given by the equation h=-16t^2+160t+90. How long after the rocket is launched will it be 30 feet from the ground?
The rocket will be 30 feet from the ground approximately 0.4 seconds or 9.6 seconds after it is launched.
To solve this problem, we need to find the value of t for which the height of the rocket is 30 feet. We can use the given equation to set up an equation for this as follows:
-16t² + 160t + 90 = 30
Simplifying and rearranging, we get:
-16t² + 160t + 60 = 0
Dividing by -4, we get:
4t² - 40t - 15 = 0
Using the quadratic formula, we get:
t = [40 ± √(40² - 4(4)(-15))] / (2×4)
t = [40 ± √(1840)] / 8
t = [40 ± 2×√(460)] / 8
t = 5 ± (1/2)×√(460)
Therefore, the rocket will be 30 feet from the ground at t = 5 - (1/2)×√(460) seconds or t = 5 + (1/2)×√(460) seconds. These are the two possible solutions to the equation. We can simplify them as follows:
t = 0.4 seconds or t = 9.6 seconds
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what is x2=20 show your work
Answer:
x=10
Step-by-step explanation:
x2=20
2*x=20
2*10=20
so, x=10
a supply container dropped from an aircraft by parachute hits a target with a probability of 0.37. (a) what is the expected number of container drops needed to hit a target?
The given probability is 0.37 which is the probability of a supply container dropped from an aircraft by a parachute hitting a target. So the expected number of container drops needed to hit a target is approximately 2.7027.
To find out the expected number of container drops needed to hit a target, we can use the formula given below;
E(X) = (1/p) E(X)
= (1/0.37)E(X)
= 2.7027
Thus, the expected number of container drops needed to hit a target is approximately 2.7027.
An expected value is a statistical concept that represents the theoretical average value of a random variable. It is represented as E(X).
The expected value is calculated by multiplying each possible value of the random variable by its probability and then adding all of the products.
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PLS HELP (SORRY I KEEP ASKING QUESTIONS I HATE MATH SO I DONT RLLY PAY ATTENTION THAT WELL)
The graph shows that the rise is 3 and the run is 3, and the hypotenuse is the length between the two points.
let hypotenuse = x
using Pythagorean theorem:
x^2= 3^2 + 3^2
x^2 = 9 + 9
x= sqrt 18
x = 4.2426....
rounding to the nearest 10th:
x = 4.2
the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. the distribution is likely to be .
The distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.
What is a skewed distribution?
A skewed distribution is one in which the data is not uniformly distributed but rather concentrated on one side. In simple words, a skewed distribution is one in which one tail has a greater number of observations than the other tail, with the majority of data falling in the tail with the greater number of observations.
In a symmetric distribution, the data is uniformly distributed on both sides of the median, with half of the data lying to the right and half to the left.
Thus, the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.
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Newton's 2nd law says that when a larger force is applied to an object of mass m, the object will experience a larger acceleration. At the same time, you've learned that all objects experience the same acceleration in a free fall, even if their weights (the forces of gravity acting on them) are different. That sounds like a contradiction: on one hand, from the Newton's 2nd law, a larger force means larger acceleration, on the other hand when applied to motion under gravity - a larger weight (force) means the same acceleration for all objects. How do you reconcile these statements? Why isn't it a contradiction? Does gravity violate the Newton's second law or is there another explanation. Be as thorough and clear in your explanation as possible.
It is important to understand that the force of gravity acting on an object does not violate Newton's second law. It is an external force that acts on an object and produces an acceleration in it. Therefore, the acceleration due to gravity does not violate Newton's second law.
According to the Newton's second law, a force acting on a body of mass m produces an acceleration a in the body which is directly proportional to the force and inversely proportional to the mass. For instance, If a body of mass m is acted upon by a force F, then the acceleration produced in the body is given by F/m.As per the law, a larger force will produce a larger acceleration in the object.
When a body falls under gravity, it is said to experience weight. The weight of an object is the force of gravity acting on the object. According to Newton's law of gravitation, every object attracts every other object with a force proportional to their masses and inversely proportional to the square of their distance. In general, the weight of an object can be given by the formula weight = mass x acceleration due to gravity.
Therefore, as the acceleration due to gravity is the same for all objects, the weight of an object is proportional to its mass. It implies that a heavier object has more weight, while a lighter object has less weight.As per the above facts, a heavier object would require a larger force to move it than a lighter object. However, when they fall under gravity, both objects fall at the same rate. It appears as a contradiction, but the reason for it is the difference between weight and mass.
The mass of an object is a measure of the amount of matter in it, while the weight of an object is the force exerted on it by gravity.The acceleration produced in an object by an external force is not the same as the acceleration due to gravity. A force F produces an acceleration F/m, whereas the acceleration due to gravity is the same for all objects.
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(1) if the number of bacteria in a culture is 5 million at the end of 6 hours and 8 million at the end of 9 hours, how many were present initially?
There were initially 4 million bacteria in the culture.
To determine the initial number of bacteria in the culture, we can follow these steps:
Step 1: Identify the given data.
At the end of 6 hours, there are 5 million bacteria.
At the end of 9 hours, there are 8 million bacteria.
Step 2: Find the rate of bacterial growth.
Since the number of bacteria increased by 3 million (8 million - 5 million) over 3 hours (9 hours - 6 hours), the rate of bacterial growth is 1 million per hour (3 million ÷ 3 hours).
Step 3: Calculate the initial number of bacteria.
The number of bacteria increased by 5 million over the 6 hours. Therefore, if we divide this number by the rate of growth, we can determine the initial number of bacteria. Divide 5 million by 1 million per hour, which results in 5 hours.
Step 4: Subtract the time from the initial time.
Since we know that the culture was growing for 5 hours before reaching 5 million, we can subtract 5 hours from 6 hours, which equals 1 hour.
Step 5: Calculate the initial number of bacteria at 1 hour.
Since the bacteria grow at a rate of 1 million per hour, at the end of the 1st hour, there would be 1 million bacteria. Subtracting this number from the 5 million at the end of 6 hours will give us the initial number of bacteria: 5 million - 1 million = 4 million bacteria.
So, there were initially 4 million bacteria in the culture.
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Are there two equations below parallel
y = 1/3x +4 and y=-3x - 10
YES
NO
I don't know but i can help a little
Step-by-step explanation:
But If the slops are the same and the y-intercepts are different, the lines are parallel...
6,7,7,8,9,10,10,10,10,13,13,14,14,15,15 box and whisker plot
The box and whisker plot can be created by :
Minimum value - 6
Maximum Value - 15
Median - 10
Quartiles - Q1 - 7.5, Q2 - 10, Q3 - 13.5
To create a box and whisker plot for the given data set {6,7,7,8,9,10,10,10,10,13,13,14,14,15,15}, we need to first find the minimum value, maximum value, median, and quartiles.
Minimum value: 6
Maximum value: 15
Median: To find the median, we need to first arrange the data set in ascending order:
6,7,7,8,9,10,10,10,10,13,13,14,14,15,15
The median is the middle value in the data set, which is 10.
Quartiles: To find the quartiles, we need to divide the data set into four equal parts.
First quartile (Q1): The first quartile is the median of the lower half of the data set. In our case, the lower half of the data set is:
6,7,7,8,9,10
The median of this set is (7+8)/2 = 7.5.
Second quartile (Q2): The second quartile is the median of the entire data set, which we already found to be 10.
Third quartile (Q3): The third quartile is the median of the upper half of the data set. In our case, the upper half of the data set is:
10,10,10,10,13,13,14,14,15,15
The median of this set is (13+14)/2 = 13.5.
Now, we can use the above information to create the box and whisker plot.
The horizontal line inside the box represents the median (10). The bottom of the box represents the first quartile (7.5), and the top of the box represents the third quartile (13.5). The whiskers extend from the box to the minimum value (6) and maximum value (15).
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X=4 ?
X=28 ?
How to solve?
The value of x in the given linear equation of 4x = 28 is determined as 7.
What is the value of x in the linear equation?
To find the value of x in the linear equation 4x = 28, we need to isolate x on one side of the equation.
We can do this by dividing both sides of the equation by 4:
4x/4 = 28/4
Simplifying:
x = 7
Thus, identify the equation and the variable: In this case, the equation is 4x = 28, and the variable we want to solve for is x. Also simplify the linear equation by dividing both sides by 4, we get x = 7, which is the solution.
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The complete question is below:
4x = 28
find the value of x
BRAINLIEST! HURRY! What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
_ cm³
Answer:
331/2
Step-by-step explanation:
5 1/2= 11/2
3 1/2 = 7/2
11/2x7/2x6=115 1/2 = 331/2
Answer:
115.5 cm^3
Step-by-step explanation:
Volume=LengthxWidthxHeight
The values from the diagram are 3.5, 6, and 5.5
Multiply!
3.5x6x5.5=115.5
How can I solve this? ASAP
The surface area of the triangular prism is 544 square inches.
What is a prism?A prism is a three-dimensional structure with two bases that are parallel and congruent and joined by lateral faces, which are a series of parallelograms or rectangles. All of the angles between the lateral faces and the bases are equal, and they are perpendicular to one another. The name of the prism is determined by the shape of the bases, such as triangular bases for a triangular prism, rectangular bases for a rectangular prism, and hexagonal bases for a hexagonal prism.
The surface area of the triangular prism is given by the formula:
SA = bh + (b1 + b2 + b3)l
Here, b = 12, h = 8, b1 = 10 + b2 = 10, b3 = 12 and l = 14.
Substituting the values we have:
SA = (12)(8) + (10 + 10 + 12)(14)
SA = 96 + (32)(14)
SA = 544 square inches.
Hence, the surface area of the triangular prism is 544 square inches.
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the clock on the wall at the aops office has an hour hand that's 4 cm long and a minute hand that's 8 cm long. at exactly 2:00, at what rate, in centimeters per minute, is the distance between the tips of the two hands changing?
At exactly 2:00, the distance between the tips of the two hands is changing at the rate of 4 cm/min.Therefore, at exactly 2:00, the distance between the tips of the two hands is changing at the rate of [tex]2\sqrt{13}[/tex] cm/min.
What is meant by "at exactly 2:00"?The phrase "at exactly 2:00" means that at 2:00:00, the hour hand and the minute hand overlap. Both hands are together pointing upwards in the vertical direction. At this moment, the angle between the minute hand and the hour hand is 0 degrees.How do we determine the rate of change of the distance between the tips of the two hands?We start by calculating the angle between the two hands. The angle is given by:
θ(t) = 30h - 11/2m
where h is the number of hours past midnight and m is the number of minutes past the most recent hour. At exactly 2:00, h = 2 and m = 0. Thus:
θ(t) = 30(2) - 11/2(0) = 60 degrees
Next, we use the formula for the distance between two points (the tips of the two hands). Let the hour hand be at the point (0,0) and let the minute hand be at the point (x,y).
The distance between the two points is given by:
[tex]d(t) = \sqrt{(x^2 + y^2)}[/tex]
To find x and y, we use the formulas:
x(t) = r cos θ(t)y(t) = r sin θ(t)
where r is the length of each hand. At exactly 2:00:
[tex]r = 4 cmx(t) = 4 cos 60 = 2 my(t) = 4 sin 60 = 2\sqrt{(3) m}[/tex]
Therefore: [tex]d(t) = \sqrt{(x^2 + y^2)} = \sqrt{(2 m)^2 + (2sqrt(3) m)^2)} = 2\sqrt{(13) m}[/tex]
Finally, we differentiate with respect to time t to find the rate of change of [tex]d(t):d'(t) = 2\sqrt{13}[/tex] cm/min
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if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%). radio button unchecked false radio button unchecked true submit
The given statement "if we take a simple random sample from a normal distribution, the probability that the sample mean is equal to the population mean is 1 (i.e., 100%)" is false.
The probability that a sample mean is equal to the population mean is actually zero, since any given sample will differ slightly from the population mean due to sampling error. However, as the sample size increases, the sample mean is likely to be close to the population mean, and the probability of it being equal approaches 1 (i.e., 100%).
To explain further, the population mean is the mean of the entire population and is calculated by adding up all the values of the population and dividing them by the total number of individuals in the population. A sample mean, on the other hand, is the mean of a sample taken from the population and can be calculated by adding up the values of the sample and dividing them by the total number of individuals in the sample. Since the sample size is usually smaller than the population size, the sample mean is likely to be slightly different from the population mean due to sampling error.
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two angles are supplementary. if one angle is two times the sum of other angle and 3, find the two angle
The answer of the given question based on the supplementary angle is the two angles are 58° degrees and 122° degrees.
What is Angle?An angle is a geometric figure that is formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called sides or arms of angle. Angles are typically measured in the degrees or the radians.
The measure of an angle is determined by the amount of rotation needed to bring one of its sides into coincidence with the other side. A full rotation is 360° degrees, so an angle that is half of a full rotation is 180 degrees, an angle that is a quarter of a full rotation is 90° degrees, and so on.
Let's call the two angles "x" and "y". We know that they are supplementary, which means that their sum is 180° degrees:
x + y = 180
We also know that one angle (let's say "x") is two times the sum of the other angle (y) and 3:
x = 2(y + 3)
Now we can substitute the second equation into the first equation to eliminate "x":
(2(y + 3)) + y = 180
Simplifying the equation, we get:
3y + 6 = 180
Subtracting 6 from both sides, we get:
3y = 174
Dividing both sides by 3, we get:
y = 58
Now that we know "y", we can substitute it back into the equation for "x" to find its value:
x = 2(y + 3) = 2(58 + 3) = 122
Therefore, the two angles are 58° degrees and 122° degrees.
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pls help me with both of them
The year that saw 164 billion dollars being spent on advertising, given the function for the advertising would be c. 1994
The dimensions of the rectangle, given the area of the rectangle would be:
Length : 12. 8 meters Width : 6.9 meters How to find the year ?The function is given by y = 0.93x² + 2.2x + 130, where y is the amount of money spent (in billions of dollars) and x is the number of years since 1990. We need to find the value of x when y = 164.
164 = 0.93x² + 2.2x + 130
0.93x² + 2.2x + 130 - 164 = 0
0.93x² + 2.2x - 34 = 0
x = 2.5
Now, we'll find the year by adding the value of x to 1990:
Year = 1990 + 2.5 = 1992.5
= 1994 which is the closest year in options
How to find the dimensions of the rectangle ?The area of the rectangle is given by:
Area = width × length
91 = (x + 2)(2x + 3)
91 = 2x² + 3x + 4x + 6
91 = 2x² + 7x + 6
2x² + 7x - 85 = 0
When solved differently:
x = 4.9
x = -3.5
Using the positive values:
Width = x + 2 ≈ 4.9 + 2 = 6.9 meters
Length = 2x + 3 ≈ 2(4.9) + 3 ≈ 9.8 + 3 = 12.8 meters
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Help please, I will give brainiest
Type the correct answer in each box. Round your answers to the nearest hundredth.
City Cat Dog
Lhasa Apso Mastiff Chihuahua Collie
Austin 24. 50% 2. 76% 2. 86% 3. 44% 2. 65%
Baltimore 19. 90% 3. 37% 3. 22% 3. 31% 2. 85%
Charlotte 33. 70% 3. 25% 3. 17% 2. 89% 3. 33%
St. Louis 43. 80% 2. 65% 2. 46% 3. 67% 2. 91%
Salt Lake City 28. 90% 2. 85% 2. 78% 2. 96% 2. 46%
Orlando 37. 60% 3. 33% 3. 41% 3. 45% 2. 78%
Total 22. 90% 2. 91% 2. 68% 3. 09% 2. 58%
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed.
The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is ______%. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is ______%
The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 11.71%. The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 29.37%.
The probability that a haphazardly chosen vagrant pet in a creature covered in Austin is a canine is 11.71%.
The probability that a haphazardly chosen stranded canine in a similar creature cover in Austin is a Chihuahua is 29.37% .
2.76% + 2.86% + 3.44% + 2.65% = 11.71%
11.71/3.44 = .2937
.2937 = 29.37%
Probability is just the way that logical something is to occur.
Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions represented by probability is called statistics.
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54 is what percent of 90? Question 9 options: 60% 65% 55% 52%
Answer:
The answer to your problem is, A. 60%
Step-by-step explanation:
54 of 90 can be written as: [tex]\frac{54}{90}[/tex]
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
[tex]\frac{54}{90} * \frac{100}{100}[/tex]
= [tex]\frac{( 54 * 100)}{90} * \frac{1}{100} = \frac{60}{100}[/tex]
Thus the answer to your problem is, A. 60%
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Answer:
x = 60%
Step-by-step explanation:
Let the unknown percentage be x.
We can make an expression using the given information.
[tex]\sf90*\frac{x}{100} =54[/tex]
Solve for x to find the percentage.
[tex]\sf\frac{90x}{100} =54\\90x=54*100\\\\90x=5400\\\\\frac{90x}{90}=\frac{5400}{90}\\\\ x=60[/tex]
55 divided by 11 * 7 x (2 + 14)
560
1) PEMDAS so 2+14=16
2)55/11=5
3)5x7=35
4)35(16)=560
100 POINTS AND WILL MARK BRAINLIEST!
Law of Cosines Of A Triangle -
GIVEN:
C (the degree)
20
22
18 (the base)
C = ?°
Round your final answer to the nearest tenth.
Law of Cosines Of A Triangle -GIVEN: C (the degree) 20, 22,18 (the base). C is 26.5 degrees.
To solve for the angle C using the law of cosines, we use the formula:
[tex]c^2 = a^2 + b^2[/tex] - 2ab cos(C)
where c is the angle C's opposite side.
Substituting the given values, we get:
[tex]18^2 = 20^2 + 22^2[/tex] - 2(20)(22)cos(C)
324 = 1048 - 880cos(C)
880cos(C) = 724
cos(C) = 724/880
C = [tex]cos^{(-1)}[/tex](724/880)
C ≈ 26.5 degrees
Therefore, the measure of angle C is approximately 26.5 degrees.
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Help please Hurry
Brenda throws a dart at this square shaped target: Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)
The probability of hitting the black circle is closer to 0 and the probability of hitting the white portion of the target is closer to 1.
What is probability?
Probability refers to the numerical measure of the likelihood or possibility of a specific event taking place. It is a mathematical concept that involves calculating the ratio of the number of desired outcomes to the total number of possible outcomes. Probability ranges from 0 (representing an impossible event) to 1 (representing a certain event), with values in between indicating the degree of likelihood. Probability is widely used in various fields, including mathematics, statistics, science, engineering, finance, and social sciences, to make predictions, analyze data, and make decisions under uncertainty.
Explanation of the given questions :
Part A: The black circle has a radius of 1 unit and its center is the same as that of the square. Therefore, its diameter is 2 units, which is much smaller than the side length of the square, which is 11 units. This means that the area of the circle is much smaller than the area of the square.
Therefore, the probability of hitting the black circle is closer to 0.
Part B: The white portion of the target is the area of the square minus the area of the black circle. The area of the square is [tex]11 x 11 = 121[/tex] square units.
The area of the circle is [tex]\pi \times r^2 = \pi\times 1^2 = \pi[/tex] square units, which is approximately 3.14 square units. Therefore, the area of the white portion of the target is [tex]121 - 3.14 = 117.86[/tex] square units.
Since this is much larger than the area of the black circle, the probability of hitting the white portion of the target is closer to 1.
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Solve the equation by completing the square.
x^2−12x+35=0
After completing the square, the equation is _____, and the solution is x=5,x=7
Answer:
x:5,x:7
x^2-12x+35
x^2-12x=-35
x^2-12x+6^2=-35+36
(x+6)^2=1
insert a radical anywhere
x+6=1
x=1-6
x=-5. x=5
x=-1-6
x=-7. x=7
The baker receives an order of 80 chocolate pies for a community festival. The baker needs 3 cups of milk to make each pie. How much milk, in gallons, is needed to make the 80 pies for the festival?
the baker needs 15 gallons of milk to make 80 chocolate pies for the community festival. To find out how much milk is needed to make 80 chocolate pies, we need to first determine the total amount of milk required for one chocolate pie. We know that the baker needs 3 cups of milk to make one chocolate pie.
To convert cups to gallons, we need to divide by 16 since there are 16 cups in a gallon. So, one chocolate pie requires 3/16 gallons of milk.
To find out how much milk is needed to make 80 chocolate pies, we can multiply the amount of milk required for one pie by the number of pies. This gives us:
(3/16) gallons of milk per pie x 80 pies = 15 gallons of milk
Therefore, the baker needs 15 gallons of milk to make 80 chocolate pies for the community festival.
It's important to make sure we convert units correctly when solving these types of problems. In this case, we had to convert cups to gallons to make sure we were using the same unit of measurement for both the amount of milk needed for one pie and the total amount needed for 80 pies. By following these steps, we can accurately determine the amount of ingredients needed to fulfill an order, which is important for bakers and other food service professionals.
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Can You fail 5th grade elementary? i have a 68 in math and im scared
Answer: I mean technically no. grades don't really matter until high school. You can get held back but that's up to your parents if you do
answer:
probobly not because it can also depend on the fsa or fast test u have to take but a 68 is not bad its a d+ really close to 70 so i dont think u will dont worry.
Selling price=7950and gain =6% what is the cost price
The seller purchased the product at a cost of 7500 and sold it for 7950, which resulted in a gain of 6%. So, the cost price is 7500.
In business, it is essential to keep track of cost prices and profit margins to ensure profitability. If the selling price is 7950 and the gain is 6%, we can use the following formula to calculate the cost price:
Cost price = Selling price / (1 + Gain%)
Substituting the given values, we get:
Cost price = 7950 / (1 + 0.06)
Cost price = 7500
Therefore, the cost price of the product is 7500, the gain percentage is calculated based on the cost price and not the selling price.
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A pool charges $4 each visit or you can buy a membership for $100. Write and solve an inequality to find how many times a person should use the pool so that a membership is less expensive than paying each time. Write an inequality and solve. PLEASE HELP ME!!
Answer:
Let's say the number of visits to the pool is represented by the variable 'x'.
If a person chooses to pay per visit, the cost will be 4x dollars.
If a person chooses to buy a membership, the cost will be a one-time payment of $100.
We want to find out when the cost of buying a membership becomes less expensive than paying per visit. In other words, we want to solve the inequality:
4x > 100
To solve for x, we need to isolate the variable. We can do this by dividing both sides by 4:
x > 25
So, if a person plans to visit the pool more than 25 times, it's more cost-effective to buy a membership instead of paying per visit.