\(\huge\text{Hey\ there!}\)
\(\text{If k = 3, then SUBSTITUTE it for the K-VALUE}\)
\(\bold{4k + 15}\\\bold{4(3)+15}\\\bold{4(3)=12}\\\bold{15=15}\\\bold{12+15=27}\\\boxed{\boxed{\bold{Answer: 27}}}\huge\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The slope of the line that contains the points (3,5) and (3,6), is undefined
Yes, that is correct. The slope of the line that contains the points (3,5) and (3,6) is undefined.
To find the slope of a line, we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line. In this case, both points have the same x-coordinate, which means that the denominator in the slope formula is zero. Division by zero is undefined, so the slope of the line is also undefined. Visually, this means that the line is vertical and does not have a defined slope. It is important to note that while the slope may be undefined, we can still determine other properties of the line, such as its x-intercept or y-intercept, and we can still graph the line using its equation or other methods.
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Please answer it now in two minutes
Answer:
y= x-3
Step-by-step explanation:
A bridge is built in the shape of a parabolic arch. The bridge has a span of s= 140 feet and a maximum height of s= 30 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10, 30, and 50 feet from the center
Answer:
_Given data: _
The bridge has a span, s = 140 feet
Maximum height of the bridge, h = 25 feet
Let the vertex is,
V
=
(
0
,
25
)
Step-by-step explanation:
the data below from the state division of motor vehicles (dmv) shows the rate of new driver's license applications. month week1 application april 1 238 2 199 3 215 4 212 may 1 207 2 211 3 196 4 206 refer to exhibit 17-5. using a three-week moving average, what is the forecast for the first week in april? a. 206.00 b. 217.33 c. 204.33 d. 201.00
The forecast for the first week in April is Option B, 217.33.
By using a three-week moving average to forecast the rate of new driver's license applications for the first week of April, means that we will average the rate of new driver's license applications over the last three weeks to forecast the rate for the next week.
Let's calculate the moving average for the first week of April.
Given weeks 2, 3, and 4 of March are 199, 215, and 212, respectively.
To find the three-week moving average, we add these three rates and divide by three:
(199 + 215 + 212) / 3 = 208.67
Therefore, the forecast for the rate of new driver's license applications for the first week of April using the three-week moving average is 208.67, rounded to two decimal places, the closest option to 208.67 is option B, which is 217.33.
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Can somebody help me please no links
Answer:
Lololololo9lolo9lkiujyhgdfbhjkifewkjuhgsdvcgfh
Step-by-step explanation:
how many different answer keys are possible for a 10 question test in which each question leads to choice a, b, c, d, or e
The total possible combinations are 5¹⁰
The given data and things to be found are,
How many alternative response choices are there for a 10-question test with choices a, b, c, d, or e for each question?
Here,
We have 5 options a, b, c, d, and e.
Total combinations are 5¹⁰
5¹⁰ = 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5
Hence, the total possible outcomes are 5¹⁰.
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If angle 3 = 81, what is angle 4?
Answer:
99 degrees
Step-by-step explanation:
Angle 3 and 4 added together is 180 degrees since it is a straight line.
if you know angle 3 is 81 degrees, then angle 4=180-81=99
Answer:
99 is the measure of angle 4
Step-by-step explanation:
Two parralel lines cut by a transversal.
This is all you gotta remember
Alternate interior angles (4 and 6, 3 and 5) are congruent (equal)
Altenrate exterior angles (1 and 7, 2 and 8) are congruent (equal)
Corresponding angles (2 and 6, 3 and 7, 1 and 5, 4 and 8) are congruent (equal)
Same side interior angles (3 and 6, 4 and 5) are supplementary (equal to 180 if added up)
Same side exterior angles, (2 and 7, 1 and 8) are supplementary (Equal to 180 if added up)
Same line, opposite transversal (4 and 3, 5 and 6, 8 and 7, 1 and 2) are also supplementary.
Classify the triangle by its angles and sides.
Equal sides and equal angles, if any, are indicated in the diagram. The 2 congruent angles are 30 degrees.
Note that the triangle given above is an Obtuse Isosceles Triangle. (Option C)
What is an Obtuse Isosceles Triangle?An isosceles obtuse triangle is one of three angles in which one is obtuse (between 90 and 180 degrees) while the other two acute angles are equal in measurement. 30°, 30°, and 120° are three examples of isosceles obtuse triangle angles.
An isosceles triangle is one in which any two of its angles have the same measurement. And the lengths of the two sides opposing those equal angles are likewise equal.
An obtuse triangle has one angle that is between 90° and 180° and the other two angles that are acute (less than 90°).
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3 /4 + 1 /6 − 2/ 3 =
Answer:
Step-by-step explanation:
Answer: 1/4
Add: 3/4 + 1/6 = 3 · 3 / 4 · 3 + 1 · 2 / 6 · 2 = 9/12 + 2/12 = 9 + 2/12 = 11/12
Subtract: 1 - 2/3 = 11/12 - 2/3 = 11/12 - 2 · 4 / 3 · 4 = 11/12 - 8/12 = 11 - 8/12 = 3/12 = 3 · 1 / 3 · 4 = 1/4
A rectangular carpet measures 10 m by 6 m
Part of the carpet is covered by a square rug of length 2m
What fraction of the carpet is
covered by the rug?
Give your answer in its simplest form.
Optional working
Answer:
Answer:
Step-by-step explanation:
A rectangular carpet measures 8 m by 6 mPart of the carpet is covered by a square rug of length 2 m
What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the form ∑an-1bn-1?
Step-by-step explanation:
¿Puedes decirnos las ecuaciones?
Please help me I really need help
No need to write step by step I just need the answer
Answer:
-6................
...
...
...
1. How many quarters are in 12 1/4
2. How many ninths are in 6 1/9
3. How many eighths are in 5 3/4
Ariel has a salary of $100,000 in the year 2003 and got a raise of 3.32 % every year. How much money in total will Ariel earn up through the year 2007, to the nearest dollar?
1 year = 12 months
3/4 year =
Answer:
3/4 year = 9
Step-by-step explanation:
To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a year is 9 months.
I hope this helps!
Your answer to 3/4 of a year is 9 months
a wire of length 26 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares?
Answer:
A = a/2^2 + b/2^2 where b = 26 - a (a/2 and b/2 sides of square)
A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)
4 * A= 2 a^2 - 52 a + 676
4 dA / da =4 a - 52 = 0
Area will be minimized when a = 13 and b = 13
Check:
n A
13 13 0 84.5
12 14 1 85
11 15 2 86.5
10 16 3 89
9 17 4 92.5
8 18 5 97
7 19 6 102.5
6 20 7 109
5 21 8 116.5
4 22 9 125
3 23 10 134.5
2 24 11 145
1 25 12 156.5
0 26 13 169
what is exponential form of b•b•b•c•c
Answer:
b^3 + c^2
Step-by-step explanation:
in looking at a scatterplot of interrater reliability, why would a researcher want to see all the dots close to the line of agreement?
In looking at a scatter plot of inter-rater reliability, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.
What is inter-rater reliability?Inter-rater reliability refers to the degree to which different raters or observers agree on their judgements or evaluations of a particular behavior, characteristic, or event. It is a measure of consistency between the observations of two or more raters. Inter-rater reliability is important because it ensures that the results obtained from the research are valid and reliable, which means that they are accurate and can be trusted.
In a scatterplot of interrater reliability, the dots represent the ratings or observations made by different raters. The line of agreement is a straight line that represents perfect agreement between the raters, i.e., all the raters make the same rating. If all the dots are close to the line of agreement, it means that the raters are in close agreement with each other, and there is a high level of inter-rater reliability.
If the dots are scattered far from the line of agreement, it means that the raters are not in agreement with each other, and there is a low level of inter-rater reliability. Thus, a researcher would want to see all the dots close to the line of agreement because it shows that there is a high level of agreement between the raters.
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Mrs. Munson is concerned about how her daughter's height and weight compare with those of
other girls of the same age. She uses an online calculator to determine that her daughter is at the
87th percentile for weight and the 67th percentile for height. Which option correctly explains to
Mrs. Munson what this means?
O Her daughter weighs more than 87% of girls her age and she is taller than 67% of girls her age.
Her daughter weighs more than 13% of girls her age and she is taller than 33% of girls her age.
O Her daughter weighs less than 87% of girls her age and she is shorter than 67% of girls her age.
O On the weight and height test, her daughter scored an 87% and 67%.
Using the percentile concept, it is found that the correct option is:
Her daughter weighs more than 87% of girls her age and she is taller than 67% of girls her age.
-----------------------------------------
A measure is at the xth percentile of a data-set if it is greater than x% of the data-set and less than (100 - x)% of the data-set.She is at the 87th percentile for weight, and thus, she weighs more than 87% of the girls her age.Also at the 67th percentile for height, which means that she is taller than 67% of the girls her age.Thus, the correct option is:
Her daughter weighs more than 87% of girls her age and she is taller than 67% of girls her age.
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Solve the following sum:
4X - 3 = 9x = ...
Answer:
x = -3/5
Step-by-step explanation:
4x-3=9x
-9x -9x
-5x-3=0
+3 +3
-5x/-5=3/-5
x = -3/5
Answer:
x=-0.6 or -3/5
Step-by-step explanation:
4x-3=9x
4x-9x=3
-5x=3
-5x/-5=3/-5
x=-3/5
or x= -0.6
solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
circuit training - optimization mendel is planting peas for a genetics experiment. he has 225 feet of fencing to fence a rectangular garden and divide it into two equal parts by placing another fence parallel to one of ths sides. what is the maximum total area (in square feet) he can enclose?
The largest area that a 225-foot fence can surround is 1875ft².
What is the area?The measurement that expresses the size of a region on a plane or curved surface is called an area.
Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region on a plane or curved surface is called an area.
So, we must know the distances from the side and base of the rectangle in order to get the area that Mendel can contain with 225 feet of fencing.
To do this, we split the fence into two equal-length pieces for the base and top and three equal sides.In this instance, the fence is divided into two 75-foot sections and three 25-foot sections.After that, we can determine the rectangle's area by multiplying the side's value by the base's value.
25ft × 75ft = 1875ft²Therefore, the largest area that a 225-foot fence can surround is 1875ft².
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what is 1/4 (fraction) of 32
Answer:
answer is 8
thanks
follow me
The equivalent value of the expression is A = 8
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be represented as p
where the value of p = 1/4
Let the second number be represented as q
where the value of q = 32
On simplifying the equation , we get
A = pq
Substituting the values in the equation , we get
A = ( 32 ) ( 1/4 )
A = 32/4
Dividing the numerator of the fraction by its denominator , we get
On further simplification , we get
A = 8
Hence , the expression is A = 8
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Help me with this please its algebra 1a
Answer:
answer choice A
Step-by-step explanation:
you make two equations.
Because of the high cost of living, Kathlego, Tessa, and Zane each hold down two jobs, but no
two have the same occupation. The occupations are doctor, engineer, teacher, lawyer, writer
and painter
Kathlego, Tessa, and Zane all work two jobs to make ends meet due to the high cost of living.
The attorney and painter is Kathlego.
Tessa is a doctor and an engineer.
The educator and author is named Zane.
Given that,
Kathlego, Tessa, and Zane all work two jobs to make ends meet due to the high cost of living, however there are both work in the same field. Doctor, engineer, teacher, lawyer, painter, and writer are among the professions.
As soon as we realize that Zane "is not the doctor," we immediately rule off that possibility and move on to the other professions.
Given that "Zane beat Tessa and the painter at tennis," we can infer that Tessa and the painter are no longer together, which makes Kathlego the Painter.
We currently have.
Kathlego is an painter.
We can now go on to "The painter was engaged by the doctor to do the task." The fact that Zane is not the doctor and we know the painter is Kathlego gives us a huge hint. Tessa is therefore unquestionably a doctor.
We currently have:
A painter, Kathlego.
Tessa is a engineer.
We may now infer that the person is one and the same because we have "The teacher and the writer went fishing with Kathlego." We can rule out Kathlego and Tessa as the teacher and writer because they each have two jobs. Thus, we are left to assume that Zane is the instructor and author.
We currently have:
A painter, Kathlego.
Tessa is a engineer.
Both a writer and a teacher, Zane.
Consequently, the lawyer, Kathlego, is the last task left for us to complete.
Therefore,
The attorney and painter is Kathlego.
Tessa is a doctor and an engineer.
The educator and author is named Zane.
Complete question: 3. *Because of the high cost of living, Kimberly, Terry,and Otis each hold down two jobs, but no
two have the same occupation. The occupations are doctor, engineer, teacher, lawyer, writer,
and painter. Given the following information, determine the occupations of each individual:
a.) The doctor had lunch with the teacher.
b.) The teacher went fishing with Kimberly, who is not the writer.
c.) The painter is related to the engineer.
d.) The doctor hired the painter to do a job.
e.) Terry lives next door to the writer.
f.) Otis beat Terry and the painter at tennis.
g.) Otis is not the doctor
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GUYS I NEED HELP AGAIN
Sophia has a shelf that is 51 over 2 inches wide. How many notebooks can Sophia arrange on the shelf if each notebook is 3 over 2 inches thick? (1 point)
Select one:
a.
38, because the number of notebooks is 51 over 2 ⋅ 3 over 2
b.
153, because the number of notebooks is 51 over 2 ÷ 3 over 2
c.
102, because the number of notebooks is 51 over 2 ⋅ 3 over 2
d.
17, because the number of notebooks is 51 over 2 ÷ 3 over 2
Whats the answer to that i am sorry its really hard to me
Answer:
D
Step-by-step explanation:
I HOPE THIS HELPS
Is 20, 101, and 99 a Pythagorean triple
Answer:
yes
Step-by-step explanation:
Using the Pythagorean Theorem, we should get 20² + 99² = 101² and we need to check if this is a true statement.
400 + 9801 = 10201
10201 = 10201 so yes, it is.
determine the minimum number of terms needed toestimate the sum of the convergent alternating serieswith an absolute error of less than 0.001:
To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.
This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.
In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.
Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:
|a(n+1)| < 0.001
Now, we can rearrange this inequality to solve for n:
|a(n+1)| < 0.001
a(n+1) < 0.001 (since the series is alternating)
(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)
a(n+1) > -0.001
Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:
|a(2)| < 0.001
|(-1)2 * a(2)| < 0.001
|a(2)| < 0.001
So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.
The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.
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PLEASE HELP !!!!!!??
Answer:
( 1, 35 )
Step-by-step explanation:
y=mx+c
c= y-intercept ( where the graph line crosses the cross line)
c=0
mx = gradient ( rise/run, up/across )
mx = 175/5 ( you could have picked any point in the graph )
mx = 35
the m is useless now so we discard it
y= 35x+0
if x = 1
then y = 35(1)+0
y= 35
at the coordinate x=1 y is 35
When a plane flies into the wind, it can travel 3000 mi in 6 h. When it flies with the wind, it can travel the same distance in 5h. Find the rate of the plane in still air and the rate of the wind.
The rate of the plane in still air is 550 mph, and the rate of the wind is 50 mph.
Let's denote the rate of the plane in still air as "p" and the rate of the wind as "w".
When the plane flies into the wind, its effective speed is reduced by the speed of the wind.
So, the speed of the plane relative to the ground is:
p - w
Similarly, when the plane flies with the wind, its effective speed is increased by the speed of the wind, so its speed relative to the ground is:
p + w
We know that the distance traveled by the plane is 3000 miles in both cases, so we can set up two equations based on the formula:
distance = rate x time
When the plane flies into the wind:
3000 = (p - w) x 6
And when the plane flies with the wind:
3000 = (p + w) x 5
Now we have two equations with two unknowns, which we can solve for "p" and "w".
Let's start by simplifying both equations:
Equation 1: 3000 = 6p - 6w
Equation 2: 3000 = 5p + 5w
We can then solve for one of the variables in terms of the other. For example, we can solve for "p" in terms of "w" by rearranging Equation 2:
5p = 3000 - 5w
p = (3000 - 5w) / 5
We can then substitute this expression for "p" into Equation 1 and solve for "w":
3000 = 6[(3000 - 5w) / 5] - 6w
Multiplying both sides by 5:
15000 = 6(3000 - 5w) - 30w
Distributing the 6:
15000 = 18000 - 30w - 30w
Combining like terms:
15000 = 18000 - 60w
Subtracting 18000 from both sides:
-3000 = -60w
Dividing both sides by -60:
w = 50
Now that we know the rate of the wind is 50 mph, we can substitute this value into either Equation 1 or Equation 2 to solve for "p".
Let's use Equation 2:
3000 = 5p + 5(50)
3000 = 5p + 250
2750 = 5p
p = 550.
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