Answer:
The third equation is your answer.
Step-by-step explanation:
7/8 x1/4=?
Select the correct answer.
Which equation has only one unique solution?
A.
|3 − x| = 3
B.
9 − |2x − 1| = 9
C.
|x − 2| − 7 = 7
D.
-4|x| + 1 = -3
Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bottom face included), what is the surface area of the roof of the kennel, including the bottom face?
Answer:
Surface area of the roof of the kennel, including the bottom face is 58.96 ft^2
Step-by-step explanation:
The image is attached below
For the triangular sides of the roof, area is
A = \(\frac{1}{2}bh\)
where b is the base = 4 ft
h is the vertical height = 2.24 ft
A = \(\frac{1}{2}*4*2.24 =\) 4.48 ft^2
for the two faces we have 2 x 4.48 ft^2 = 8.96 ft^2
For the rectangular sections of the roof, area is
A = \(lh\)
where \(l\) is the length of the rectangle = 5 ft
h is the height of the rectangle = 3 ft
A = 5 x 3 = 15 ft^2
For the two rectangular faces, we have 2 x 15 ft^2 = 30 ft^2
For the bottom face, area is
A = \(lw\)
where \(l\) is the length of the house = 5 ft
w is the width of the house = 4 ft
A = 5 x 4 = 20 ft^2
Surface area of the roof of the dog kennel is
8.96 ft^2 + 30 ft^2 + 20 ft^2 = 58.96 ft^2
Use front-end estimation to estimate 42 x 467.
in activity-selection problem, each activity i has a start time si and a finish time fi where si≤fi. activities i and j are compatible if:
In the activity-selection problem, two activities i and j are considered compatible if they don't overlap in time, i.e., their start and finish times do not overlap.
The activity-selection problem involves selecting a maximum-size set of compatible activities that can be scheduled within a given time frame. For example, if we have a list of activities with their start and finish times, we need to select the maximum number of activities that can be scheduled without any overlap in time.
To determine which activities are compatible, we need to compare their start and finish times. Two activities i and j are considered compatible if their start and finish times do not overlap, i.e., if si ≥ fj or sj ≥ fi. This means that the end time of one activity should be less than or equal to the start time of the other activity for them to be compatible. Once we have identified the set of compatible activities, we can select the maximum-size set of activities that can be scheduled within the given time frame. This problem can be solved efficiently using dynamic programming techniques, such as the greedy algorithm, which selects the activity with the earliest finish time first.
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8 Roj bought some sweets. He gave 2/3of the sweets to his friends
and had 5 sweets left. How many sweets did Raj buy?
units =
Answer:
15
Step-by-step explanation:
let ,no of sweets =x
therefore,x-2x/3=5
therefore x=15
Solve the given differential equation.(y^2 + 2) dx = y sec^2 (x) dy
y = e^((1/2)(tan(x) + C)) is the solution to the given differential equation.
To solve the given differential equation (y^2 + 2) dx = y sec^2(x) dy, follow these steps:
Step 1: Rewrite the equation as a separable differential equation.
To do this, divide both sides by y(y^2 + 2) to isolate dx and dy:
(dy/y) = (sec^2(x) dx) / (y^2 + 2)
Step 2: Integrate both sides of the equation.
Integrate the left side with respect to y, and the right side with respect to x:
∫(1/y) dy = ∫(sec^2(x) / (y^2 + 2)) dx
Step 3: Evaluate the integrals.
For the left side, the integral of 1/y with respect to y is ln|y| + C₁ (where C₁ is a constant).
For the right side, let u = y^2 + 2, then du = 2y dy, so the integral becomes:
∫(sec^2(x) / u) (1/2) du = (1/2) ∫(sec^2(x) du)
Now, the integral of sec^2(x) with respect to u is tan(x) + C₂ (where C₂ is another constant).
Step 4: Combine the constants and express the solution.
The general solution is given by:
ln|y| = (1/2)(tan(x) + C), where C = 2(C₁ - C₂).
To express y in terms of x, take the exponential of both sides:
y = e^((1/2)(tan(x) + C))
This is the solution to the given differential equation.
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PLZ!! HELP!!
Linear Functions!!
Answer:
I think the answer is liner
An angle turns through 160 one-degree angles. What is the measure of the angle?
if it's 60 degrees it's an acute angle
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
3/4
Step-by-step explanation:
We need two points to find the slope
( 20,20) and (60,50)
m = (y2-y1)/(x2-x1)
= (50-20)/(60-20)
= 30/40
= 3/4
what is the slope of the line ?
Answer:
6
Step-by-step explanation:
because I guess it is six line's and that it will definitely be worth it to try it
a coin is tossed 25 times. estimate the chance of getting 12 heads and 13 tails.
To estimate the chance of getting 12 heads and 13 tails when a coin is tossed 25 times, we can use the binomial probability formula.
The binomial probability formula is given by:
P(x) = (nCx) * p^x * q^(n-x)
Where:
P(x) is the probability of getting x successes,
n is the total number of trials,
x is the number of desired successes,
p is the probability of success on a single trial,
q is the probability of failure on a single trial, which is equal to 1 - p,
and (nCx) is the number of combinations of n items taken x at a time.
In this case, n = 25, x = 12 (number of heads), p = 0.5 (since the coin is fair), and q = 1 - p = 0.5.
Using the binomial probability formula, we can calculate the probability of getting 12 heads and 13 tails as:
P(12 heads) = (25C12) * (0.5^12) * (0.5^13)
Calculating this expression will give us the estimated chance of getting 12 heads and 13 tails when a coin is tossed 25 times.
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How have date a f boy?And the experience you had learned from the relationship?
Step-by-step explanation:
seriously I haven't been in a relationship with any guy I hope I will find him soon
Actually I haven't dated anyone
I think 1 time I talked with one boy in online then we started to call then due to cast our relationship ended
eventually I did not broke up he stop talking with me then I asked he told due to cast I can't sit in a relationship with you
fromw that they onwards I have never tex guy in online
so hopee u like my story
find each of the following explain your reasoning 1. The length of segment BE 2. The coordinates of E
Given data:
The given triangle shown.
t
Which list correctly orders A, B, and c from lеаѕt tо greatest whеn A = -8, B = |-6| and c = |11|
А. В. С
С. А. В
В, А, С
С, В, А
Answer:
Correct order: C, B, A
The last answer : )
Step-by-step explanation:
A = -8
B = -6
C = 11
Correct order: C, B, A
The last answer : )
*Hope this helps!! : )*
The order of the expressions from least to greatest is A, B, C
How to order the numbers?The equation of the numbers are given as:
A = -8, B = |-6| and c = |11|
Evaluate the absolute value expressions
A = -8, B = 6 and c = 11
Order the expressions from least to greatest
A = -8, B = 6 and c = 11
Hence, the order of the expressions from least to greatest is A, B, C
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Suppose a shipment of 150 electronic components contains 4 defective components. To determine whether the
shipment should be accepted, a quality-control engineer randomly selects 4 of the components and tests them. If 1 or
more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected?
The probability that the shipment will be rejected is 2/75.
What is probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how likely something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. is the study of events subject to probability.So, the probability that the shipment is rejected:
Probability formula: P(E) = Favourable events/Total events.Where favorable events are 4 and total events are 150.Now, substitute the values in the formula and solve as follows:
P(E) = Favourable events/Total eventsP(E) = 4/150P(E) = 2/75Therefore the probability that the shipment will be rejected is 2/75.
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What is a direct characterization quote?
The Direct characterization quote describes character through their physical description, line of work, passions and pursuits .
The Direct Characterization quote is defined as a method of describing character in a straightforward manner that means through their physical description for example blue eyes , their line of work example lawyer, and their passions and outside pursuits .
Direct characterization can be called as one of the most useful and common literary device .
Some Advantage of Direct Characterization are :
(i) Introducing the characters ;
(ii) Help's in Revealing the character’s motivations ;
(iii) it Provides reader with memorable character traits .
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mathematician who lent his name to a test nyt crossword
The mathematician who lent his name to a test often mentioned in NYT crossword puzzles is Emil Post.
Emil Post was an influential mathematician who lived from 1897 to 1954. He made significant contributions to the field of mathematical logic, particularly in the area of formal systems and decision problems. One of his notable contributions is the development of the Post's Correspondence Problem, also known as the Post's Test.
The Post's Test is a problem in theoretical computer science that involves finding a solution to a sequence matching problem. It deals with determining whether there is a sequence of strings that can be concatenated in different ways to form identical sequences. This problem has important implications in the study of formal languages and computational complexity.
Due to the relevance and popularity of the Post's Test in the field of mathematical logic and computer science, Emil Post's name became associated with this problem. As a result, his name often appears in crossword puzzles, including those featured in the New York Times (NYT) crossword, which often includes clues related to various fields of knowledge, including mathematics and science.
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Without more information, it is not possible to determine the name of the mathematician who lent his name to a test in the New York Times crossword.
The question is asking for the name of a mathematician who lent his name to a test in the New York Times crossword. Unfortunately, without any specific clues or context, it is difficult to determine which mathematician is being referred to. There have been several mathematicians who have had tests or concepts named after them, such as the Pythagorean theorem named after Pythagoras or the Fibonacci sequence named after Leonardo Fibonacci. However, without more information, it is not possible to provide a specific answer.
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What is the average rate of change for this exponential function for the
interval from x=2 to x= 4?
a.-6.
b.6
c.12
d.-12
Answer:
The correct answer is:
b. 6
Step-by-step explanation:
We are given the graph of an exponential function.
We have to find the average rate of change for this exponential function from x = 2 to x = 4.
First of all, let us plot the point on the graph on the points x = 2 and x = 4.
Please refer to the attached diagram.
We can easily find that the value of y at x = 2 is 4.
the value of y at x = 4 is 16.
\(\therefore\) the coordinates are (2, 4) and (4, 16).
Let the points be A(2, 4) and B(4, 16)
Now, let us find the average rate of change for exponential function i.e. change in value of y divided by change in value of x from x = 2 to x = 4:
Formula:
\(\text{Average rate of change = } \dfrac{\text{Change in y coordinate}}{\text{Change in x coordinate}}\)
\(\Rightarrow \dfrac{16-4}{4-2}\\\Rightarrow \dfrac{12}{2}\\\Rightarrow 6\)
So, correct answer is option b. 6
a numerical value that measures the likelihood of an uncertain event is a ______.
A term that describes a numerical value measuring the likelihood of an uncertain event is - a probability.
A probability is a numerical value that measures the likelihood of an uncertain event occurring.
It ranges from 0 (impossible event) to 1 (certain event), with values in between representing the varying degrees of likelihood.
To calculate the probability of an event, you can divide the number of favorable outcomes by the total number of possible outcomes in a given scenario.
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A pet store receives 4,592 cans of dog food and 8,246 cans
of cat food. How many more cans of cat food than dog
food does the store receive?
Answer:
3654
Step-by-step explanation:
\(8246-4592=3654\)
What is this 3(x+2)<4(x−2)
Laura has two jobs to help pay for her weekly expenses.
• Laura can work at most 20 hours per week.
She needs to earn at least $120.
• Laura's dog-walking job pays $9.00 per hour.
• Laura washing cars pays $11.00 per hour.
Create the system of inequalities to model Laura's situation where x represents the hours she spends dog-walking
and y represents the hours she spends washing cars.
Answer:
x*$9.00 + y*$11.00 ≥ $120
x + y ≤ 20 hrs
Step-by-step explanation:
we have the variables:
x = hours she spends dog-walking
y = hours she spends washing cars.
We know that she wins $9.00 per hour of dog-waling, and she wins $11.00 per hour of washing cars, then the total amount of money she wins per hour is:
x*$9.00 + y*$11.00
And she needs to earn at least $120, then we have the inequality:
x*$9.00 + y*$11.00 ≥ $120
And we also know that she can work, at most, 20 hours per week, then:
x + y ≤ 20 hrs
Then the system of inequalities that represents this situation is:
x*$9.00 + y*$11.00 ≥ $120
x + y ≤ 20 hrs
An automatic filling machine is used to fill 2-litre bottles of cola. The machine’s output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of 0.01 litres. Output is monitored using means of samples of 5 observations.
Determine the upper and lower control limits that will include roughly 95.5 percent of the sample means.
If the means for 6 samples are 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is the process in control?
The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
To determine the upper and lower control limits for the sample means, we can use the formula:
Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))
Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))
In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.
For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.
Given:
Mean = 2.0 litres
Standard Deviation = 0.01 litres
Sample size (n) = 5
Using the formula, we can calculate the upper and lower control limits:
UCL = 2.0 + (1.96 * 0.01 / sqrt(5))
LCL = 2.0 - (1.96 * 0.01 / sqrt(5))
Calculating the values:
UCL ≈ 2.0018 litres
LCL ≈ 1.9982 litres
Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997
Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.
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how do we find the volume of an irregular object using a graduated cylinder
By measuring the change in the water level, we can calculate the volume of the irregular object.
To find the volume of an irregular object using a graduated cylinder, first, fill the graduated cylinder with a known volume of water. Carefully place the irregular object into the cylinder, making sure it is fully submerged in the water.
Observe the new water level in the graduated cylinder and record it. The difference between the initial and final water levels represents the volume of the irregular object.
To explain further, a graduated cylinder is a cylindrical container with volume markings along its side. It is often used in laboratories to measure the volume of liquids.
However, it can also be used to find the volume of irregularly shaped solid objects. By utilizing the principle of displacement, the volume of the object can be determined.
When the object is placed into the graduated cylinder filled with water, it displaces an amount of water equal to its own volume. This causes the water level to rise.
By measuring the change in the water level, we can calculate the volume of the irregular object.
It's important to ensure that the object is fully submerged and that no air bubbles are trapped, as this can affect the accuracy of the measurement.
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students who score within 22 points of the number 78 will pass a particular test. write this statement using absolute value notation and use the variable x for the score.
The statement using absolute value notation will be x - 78 ≤ 22.
The student will pass the test which scores 22 points for the number 78
Absolute values are any digit's value without taking the sign into an account. Therefore, all negative numbers will be regarded as positive for absolute value. The absolute value of -5, for instance, will be 5, whereas that of -7, will be 7.
In essence, the absolute value calculates the distance from zero. Putting an absolute value on something does not imply that they are the same number but that they are the same distance from 0.
Le the score of student be = x
Forming the absolute value notation -
This can be expressed as,
x - 78 ≤ 22.
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question is in picture
The correct option is (D) △ABC and △FED are not similar because the corresponding sides of the triangles are not in proportion.
What is the congruency of triangles?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.So, the two given triangles are:
△ABC and △DEF with no sides identical to the other.
Then, we can conclude that no congruency condition with a side statement is true.So, options (A) is (C) are incorrect.
∠B and ∠E do not seem to be identical.So, option (B) is also incorrect.
Since no sides are identical to each other then we can say that the given two triangles are not congruent when concluding that the answer to this problem is an option (D).
Therefore, the correct option is (D) △ABC and △FED are not similar because the corresponding sides of the triangles are not in proportion.
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Marvin drove 310 miles in 5
hours. At this same rate, how
far could he travel in 2 hours?
a. 105 miles
b. 124 miles
c. 155 miles
d. 170 miles
e. 200 miles
Answer:
B. 124 Miles
Step-by-step explanation:
310/5 is 62
62MPH
62*2 is 124
A point is a physical measurement approximately equal to 1/16th of an inch. Group of answer choices False True
NOT DRAWN TO SCALE. find x
Can you find the slope and type the correct code? Please remember to type in ALL CAPS with no spaces.
Yes, I can find the slope of a line and type the correct code. The SLOPE function will return the slope of the linear regression line that best fits the data.
The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. The formula for finding the slope of a line is (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line.
The slope is a measure of how steep the line is. It can be positive, negative, zero, or undefined. The code for finding the slope of a line in ALL CAPS with no spaces is SLOPE.
To use this function in Excel, you need to provide the range of x-values and the range of y-values.
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