Answer:155m
Step-by-step explanation:GK is congruent to HI
Express each set using the roster method.
A. The set of natural odd numbers greater than 2, but less than 11.
B. {x|x€N and 4
Answer:
A. { 3, 4, 5, 6, 7, 8, 9, 10}
B. {4}
Step-by-step explanation:
A. { 3, 4, 5, 6, 7, 8, 9, 10}
⇒ We didn't include 2 in this because 2 = 2, not greater than 2.
⇒ We also didn't include 11 for the same reason. 11 = 11, not less than 11.
B. First of all, this tells us that x is a natural number, i.e. x ≥ 1
The second thing it tells us is that x = 4. So the answer is {4}
(I may have misunderstood B. If I'm not correct, I'm really sorry. )
39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
The coordinates of three vertices of parallelogram ABCD are A(-1,0), B(4,0), and C(5,4). What are the coordinates of vertex D?A. (1,4)B. (0,3)C. (1,3)D. (0,4)
Solution
for this case we can create the following diagram
We can find the slope between (4,0 ) and (5,4) and we have:
\(m=\frac{4-0}{5-4}=4\)Then we can use the point (-1,0) and one corrdinat eof the point is (?,4) since needs to be at the same level (5,4)
And we can do this:
0= 4*-1 +b
b= 4
And the equation is:
y= 4x+4
And solving for x we have:
4= 4x+4
4x=0
x=0
And the point is:
D.(0,4)
= 4x+
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t months is given by the equation C=45t+100. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.
Answer:
y intercept is 100
which represents the one-time joining fee
Step-by-step explanation:
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
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HELP PLEASE! Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.
what is 2 divided by 4
Answer:
0.5
Step-by-step explanation:
Answer: 0.5
2 ÷ 4 = 0.5
Step-by-step explanation:
First, you want to write the equation:
2 ÷ 4 = ?
Using the form of dividing, we know that 4 doesn't go in 2, so we will place a "0".
This means that:
2 - 0 = 2.
Then we will add a decimal place and place a "0" next to the "2", making this one "20". Then, 4 goes into twenty 5 times, so we write a 5 after the decimal place.
20 - 20 = 0.
This means that:
2 ÷ 4 = 0.5
Hope this helps =)
100 Points! Algebra question. Photo attached. Find the missing variable. Round your answers to the nearest hundredth. Please show as much work as possible. Thank you!
Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57
What is z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
The formula is given as;
z = x - μ / σ
z = z -scoreμ = mean x = sample meanσ = standard deviationSubstituting the values into the formula;
-2.13 = 19.3 - 29 / σ
Cross multiply both sides;
-2.13σ = 19.3 - 29
-2.13σ = -9.7
Divide both sides by the coefficient;
-2.13σ / -2.13 = -9.7 / -2.13
σ = 7.57
The standard deviation is 7.57
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For each of the following relations, i) state whether the relation is an equivalence relation and ii) if it is an equivalence relation, list the blocks of its corresponding partition, and if it is not, list all of the properties (reflexive, symmetric, transitive) it violates. In all cases, the relations are on the set A = {1, 2, 3, 4}
a. {(1, 1), (1,4), (2, 2), (3, 3), (4, 1), (4, 4)}
b. A x A
c. {(1, 1), (2, 2), (3, 1), (1, 3), (4, 4)
d. ({2, 3} x A) U ((1, 1), (4, 4)}
a. The relation is an equivalence relation, and its corresponding partition has blocks {1, 4}, {2}, and {3}.
b. The relation is not specified.
c. The relation is not an equivalence relation because it is not transitive.
d. The relation is not an equivalence relation because it is not reflexive.
a. The relation is an equivalence relation because it is reflexive, symmetric, and transitive. The blocks of its corresponding partition are {1, 4} and {2} and {3}.
b. The relation is not specified, so it is impossible to determine whether it is an equivalence relation or not.
c. The relation is not an equivalence relation because it is not transitive. Specifically, (3, 1) and (1, 3) are in the relation, but (3, 3) is not.
d. The relation is not an equivalence relation because it is not reflexive (i.e., 1 and 4 are not related to themselves).
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Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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e-Test Active
2
3
=+
4
Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
5
6
7
8
10
TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-
The function notation of 9x + 3y = 12 is given as follows:
f(x) = 4 - 3x.
How to write the function notation?The function in the context of this problem is given as follows:
9x + 3y = 12.
The format for the function notation is given as follows:
Hence we must isolate the variable y, as follows:
3y = 12 - 9x
y = 4 - 3x (each term of the expression is divided by 3).
f(x) = 4 - 3x.
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A call center claims that the mean wait time for a customer to connect with a customer care executive is less than 2 minutes. A random sample of 50 calls at the call center yielded a test statistic of -1.07. What is the corresponding p-value? Round your answer to three decimal places.
The corresponding p-value is 0.147 rounded to three decimal places.
Now, For find the p-value, we need to use a t-distribution with (n - 1) degrees of freedom,
where n is the sample size.
Since n = 50,
Hence, we have;
n - 1 = 50 - 1 = 49 degrees of freedom.
Hence, Using a t-table or calculator with 49 degrees of freedom, we find that the p-value for a t-statistic of -1.07 is approximately 0.147.
Therefore, the corresponding p-value is 0.147 rounded to three decimal places.
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will mark brainliest please this is urgent
i don't know how to do math lol
Answer:
your just asking the same question over and over again
Step-by-step explanation:
What is the circumference of this circle, in centimeters?
Answer:
65.9 so it rounds to 66cm
Nearsightedness: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted.
(a) What proportion of children in this sample are nearsighted?
(b) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate?
(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly normal distribution, calculate the test statistic (the Z statistic).
(d) What is the p-value for this hypothesis test?
(e) What is the conclusion of the hypothesis test?
Answer:
a)the proportion of student is 0.1082
b)
H1: p = .08
H2: p not equal to 0.08
H1: p =0 .08
H2: p < .08
H1: p =0 .08
H2: p >0 .08
c)z=1.45
d) the p value is 0.1470
e)null hypothesis cannot be accepted,There is no enough evidence to reject the null hypothesis.
Step-by-step explanation:
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
If the weather in City A decreased constantly through the night from
5:00 PM to 9:00 PM, what is the rate of decrease of the weather in
degrees per hour if the temperature dropped from 20 degrees to 12
degrees?
A) 2
B) -2
C) 8
D) -8
E) 1
The rate of decrease of the weather in degrees per hour is 2 degrees.
EquationsThe time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.
The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.
Therefore, the rate of decrease of the weather in degrees per hour is:
-8 degrees / 4 hours = -2 degrees per hour
What is rate of change of temperature?A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.
Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.
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please help
The table of values represents a quadratic function f(x).
x f(x)
−8 7
−7 2
−6 −1
−5 −2
−4 −1
−3 2
−2 7
−1 14
0 23
What is the equation of f(x)?
f(x) = (x − 5)2 − 2
f(x) = (x − 4)2 − 1
f(x) = (x + 4)2 − 1
f(x) = (x + 5)2 − 2
Answer:
Step-by-step explanation:
From the symmetry in the table, we can see that the vertex of the parabola is located at (-5, -2). We will pick another point from the table to use in our model to solve for the a value, just in case there is one. I picked (-4, -1). Any point from the table will work.
Our model is
\(y=a(x-h)^2+k\) where h and k are the coordinates of the vertex and x and y are the coordinates from the other point chosen from the table. Filling in to solve for a:
\(-1=a(-4+5)^2-2\) and
\(-1=a(1)^2-2\) and
-1 = a - 2 so
a = 1.
Now we can fill in the equation with the coordinates of the vertex and the value found for a to get
\(y=(x+5)^2-2\) You don't need to put the 1 out in front; it's unnecessary. Your choice is the last one there in the list.
Substitute the (-2+5x) for y into this equation:
-3x+6y=-12 to solve for X.
Answer:
x = 0
Step-by-step explanation:
-3x + 6(-2+5x) = -12
-3x - 12 + 30x = -12
27x = 0
x = 0
Find the measures of the labeled angles.
(x+92) =5xº
Answer:
X=23
Step-by-step explanation:
First you write the problem without the parenthesis so it's more easier to work out.
Second you need to do is change what is at the end of the problem all the way to beginning of the problem and also change the sign which should look something like this, x=5x-92.
Then you collect like terms which is ( 5x and x)
and sense x is 1 you subtract it and it would give you this -4x=-92. Divide both sides by 4 which would give you 23.
1. Carly needed to study for of an hour for 9 days. How many hours did she study? A. 7 1/2 hours B. 9 5/6 hours C. 7 hours D. 2 1/7 hours
The total number of hours that Carly studied for 9 days is; 7¹/₂ hours
How to solve proportion problems?She wants to study 5/6 of an hour per day for 9 days.
Thus;
Number of hours studied per day = 5/6 * 1 hour = 5/6 hours
Therefore for 9 days, the total number of hours she will study is;
5/6 * 9
= 45/6
= 15/2
= 7¹/₂ hours
That value denotes the total number of hours that she studied for 9 days
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Complete question is;
Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?
A sample was taken of the metabolic rates of men participating in a study regarding diets. If each score is multiplied by 25 points , then the standard deviation of the new scores would:_______
Answer:
multiply by 25 also.
Step-by-step explanation:
If the scores are multiplied by 25, that means that the mean will also multiply by 25. Since the mean and the scores all increased by 25 times, the standard deviation will increase by 25 times.
If instead, you added 25 (or any other number) to each score, then the standard deviation would not change. The mean and each score will increase by 25, bu the difference between them will not change.
How can you determine if an equation will have:
One solution
No solution
Infinitely many solutions
9514 1404 393
Answer:
look at the reduced form:
0 = variable + constant (one solution)0=0 (infinite solutions)0=1 (no solutions)Step-by-step explanation:
We assume the question is concerned with linear equations in one variable.
Subtract one side of the equation from both sides, and simplify as far as possible. You will get one of three forms:
variable + constant = 0 . . . . has one solution
0 = 0 . . . . has infinitely many solutions
0 = 1 . . . . has no solutions
1. Sarah purchased her first car and her goal is to pay it off as soon as possible. Some months she pays
more than the minimum payment due. The table below shows the year and her account balance at the start of
each year.
Years
0
1
2
3
3
4
5
5
Account Balance
$25000 $21200 $16200 $11050 $7355 $4375
a. Use your calculator to find the linear regression equation and the correlation coefficient.
Equation (LinReg)
Correlation coefficient (0)
b. Use your calculator to find the exponential regression equation and the correlation coefficient
Equation (ExpReg)
Correlation Coefficient (1)
Which model do you think is more accurate? Explain.
Answer:
e
Step-by-step explanation:
e
The starting numbers for x and y are already entered in a table below the blanks in the table represent the next two terms for each of the patterns the pattern for the X-Files is added to pattern for the y values it at 4 which graph represents the order pairs of first three terms of the pattern from the table?
Answer:
it is this one
Step-by-step explanation:
because since x is 4 and y is 8 that one matches up better than any other one
If x=2y+5 and x=3y-6, what is the value of x?
GIVING BRAINLIEST!!!!
Answer:
Zack is correct with the -4.5
Step-by-step explanation:
When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5
Hope this helped.
A brainliest is always appreciated.
PLEASE HELP, TY! WILL MARK BRAINLIEST!!
Answer:
Angle VYZ = 27 degrees
A rhombus has 4 equal sides.
That makes Triangle VWX an isosceles triangle.
That means, Angle WXV is also 63 degrees.
All the angles in a triangle add up to 180 degrees:
63 + 63 + x = 180
126 + x = 180
x = 54 degrees
The angle opposite of Angle VWX (Angle VYX) also equals 54 degrees.
That means Angle VYZ = 1/2 of 54 = 27
Angle VYZ = 27 degrees
Answer:
27
Step-by-step explanation:
All triangles have a right angle, and triangles have a total degree of 180.
180 = 90 + 63 + a
a = 27
For f(x)=3x2 – x+5, 2f(–3) – f(4)=
Answer:
Step-by-step explanation
f(–3) =3×2-(-3)+5
3×2+3+5
=14
f(4)=3x2 – (4)+5
3×2-4+5
=7
2f(–3) – f(4)=
2(14) – f(7)=
28-7
=21