1. Look at the figure. Which construction is illustrated?
N
IR
H
a line perpendicular to
H3
through point N
a line parallel to
HU
through pointly
The construction illustrated in the figure is that of a line parallel to [tex]\overrightarrow{HJ}[/tex] through point N.
Given: Figure containing illustration of the construction
To find: The construction illustrated in the figure
It can be seen that the figure contains a straight line passing through H and J, a straight line passing through H and N, and a straight line passing through N which seems to be parallel to [tex]\overrightarrow{HJ}[/tex].
The figure also contains arcs made by a compass that measures the angle between [tex]\overrightarrow{HJ}[/tex] and [tex]\overrightarrow{HN}[/tex]. These arcs have been replicated at the point N on the straight line [tex]\overrightarrow{HN}[/tex].
This implies that the straight line through N has been constructed in such a way, so that the angle between that straight line and [tex]\overrightarrow{HN}[/tex] is equal to the angle between [tex]\overrightarrow{HJ}[/tex] and [tex]\overrightarrow{HN}[/tex]. This makes these angles, corresponding angles and [tex]\overrightarrow{HN}[/tex] as the transversal. Thus, the new straight line is constructed parallel to [tex]\overrightarrow{HJ}[/tex].
A strong counterargument that this illustration is not that of a line perpendicular to [tex]\overrightarrow{HJ}[/tex] through point N is that the figure does not contain any straight line perpendicular to [tex]\overrightarrow{HJ}[/tex].
Thus, the construction illustrated in the figure is that of a line parallel to [tex]\overrightarrow{HJ}[/tex] through the point N.
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Use distributive property to remove parantheses
9(2/3-3x)
Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?
Ellen makes $20 per hour in her job as a kiental assistant. She works 8 hours per day and 40 hours per week. How much does Ellen make in a day before taxes?
Answer:-Money earned by Ellen per hour = $20.
Number of hours she works per day = 8 hours.
Money she'll make per day = 20×8 = 160
Hence, the answer is $160.
A forest has 800 pine trees, but a disease is introduced that kills a fourth of the pine trees in the forest
every year.
Which graph shows the number y of pine trees remaining in the forest 2 years after the disease is
introduced?
In a graph
The exponential function that models the number of trees after t years is given by:
[tex]A(t) = 800\left(\frac{3}{4}\right)^t[/tex]
Hence, after 2 years, 450 trees will be remaining, as the graph at the end of this answer shows.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
The forest has 800 pine trees, hence A(0) = 800.Each year, a disease is introduced that kills a fourth of the pine trees in the forest every year, hence [tex]r = \frac{1}{4}[/tex].Then, the equation is:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 800(1 - \frac{1}{4})^t[/tex]
[tex]A(t) = 800\left(\frac{3}{4}\right)^t[/tex]
After 2 years:
[tex]A(2) = 800\left(\frac{3}{4}\right)^2 = 450[/tex]
450 trees will be remaining.
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2. About how much is 123.1 do you weigh in pounds? Estimate if you don't know☺ Find an online converter and find out how many kilograms that is.
Answer:
123.1 pounds is vary long, and I don't want to repeat, so 55.8372207 repeat.
Step-by-step explanation:
If you have any questions regarding my answer, tell me them in the comments, and I will come answer them for you. Have a good day.
Which point on the number line shows the graph of 0.5?
Point A
Point B
Point C
Point D
Answer: D
Step-by-step explanation:
D
Answer:
D
Step-by-step explanation:
it is between 0 and 1
I need help really bad
Answer:
1 ???????
Step-by-step explanation:
- Olivia skates twice as far as Stephanie. This sum of their distances is 96 miles per month. How many
miles per month does Olivia skate?
A.32 miles
B.64 miles
C.48 miles
D.24 miles
Answer:
B.64 miles
Step-by-step explanation:
Let Oliver's be x
Let Stephanie's be y
[tex]x = 2y - - - (a) \\ x + y = 96 - - - (b)[/tex]
substitute for x in (b):
[tex]2y + y = 96 \\ 3y = 96 \\ y = 32[/tex]
find x in (a):
[tex]x = (2 \times 32) \\ x = 64[/tex]
What do these have in common
Answer:
All Equal to 0
Step-by-step explanation:
0 = 0
3 - 3 = 0
0/4 = 0
12 - 3*4 = 0
Three measurements are made on each of three individuals in a random sample from a population. X 1 = 2, X2 = 8
and
1
1
187
X3 = 4. The distances d(X1, X2)between X1, X, and d(X2, X3) between X2, X3 respectively are (Use Euclidean inner
L5.
product)
Step-by-step explanation:
here is the answer hope it helps
What is the recursive formula for this
geometric sequence?
-3, -21, -147, -1029, ...
Answer:
an = an-1 *7
a1 = -3
Step-by-step explanation:
We are multiplying by 7 each time
-3*7 = -21
-21 *7 = -147
The formula for a geometric sequence is
an = a1 * (r)^(n-1) where r is the common ratio and n is the term number
an = -3 ( 7) ^(n-1)
The recursive formula is
an = an-1 * r
an = an-1 *7
a1 = -3
Answer:
Step-by-step explanation:
common ratio = 7
nth term = ((n-1)th term)×7 = a₁×7ⁿ⁻¹
Fourteen boys and 21 girls will be equally divided into groups. Find the greatest number of groups that can be created if no one is left out.
Answer:
7 groups can be made each with five people :)
How many solutions does this system of equations have?
y = -1/3x+7
y = -2x3 + 5x2 + x - 2
O A.
no solution
OB
1 solution
O C.
2 solutions
OD
3 solutions
Answer:
1 solution
Step-by-step explanation:
the two equations only cross once
The system of equations may have either 2 or 1 solution, but we cannot determine the exact number of solutions without further information or analysis.
We have,
The given system of equations consists of two equations in two variables:
y = (-1/3)x + 7 _______(1)
y = -2x³ + 5x² + x - 2 _______(2)
To find the solutions of the system, we need to find the values of x and y that satisfy both equations simultaneously.
Since both equations are in the form y = ...,
we can set the expressions on the right-hand sides of the equations equal to each other:
(-1/3)x + 7 = -2x³ + 5x² + x - 2
Rearranging and simplifying, we get:
2x³ - 5x² - (2/3)x + 9 = 0
To solve for x, we can use factoring or the rational root theorem.
However, the polynomial on the left-hand side of the equation does not appear to have any rational roots or easily factorable forms.
Therefore, to determine the number of solutions,
we can use Descartes' rule of signs to find the possible number of positive and negative roots of the polynomial:
The number of positive roots is either equal to the number of sign changes in the coefficients or less than it by an even integer.
There are two sign changes in the coefficients, so there can be either 2 or 0 positive roots.
The number of negative roots is either equal to the number of sign changes in the coefficients or less than it by an even integer.
There is one sign change in the coefficients, so there can be either 1 or 0 negative roots.
Since the sum of the possible number of positive and negative roots is either 2 or 1, the total number of solutions is either 2 or 1.
Therefore,
The system of equations may have either 2 or 1 solution, but we cannot determine the exact number of solutions without further information or analysis.
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What is 40 % of 50?????????????????????????????????????/
Answer:
20
Step-by-step explanation:
Of means multiply
40% * 50
Change to decimal form
.40 * 50
20
Find perimeter of square with its each side a cm.
Answer:
4cm
Step-by-step explanation:
Each side of the square = 1cm
Perimeter of a square = 4xside
= 4x1 = 4
Answer From Gauth Math
The cost of producing pens with the company logo printed on them consists of a onetime setup fee of $265.00 plus $0.95 for each pen produced. This cost can be calculated using the formula C=265.00+0.95p, where p represents the number of pens produced and C is the cost. Use the formula to calculate the cost of producing 2900 pens.
What is the value of x in |6| = x?
Answer:
6
Step-by-step explanation:
the | | are for absolute value, which means
|-6|=|6|= 6
Pamela is 8 years older that Jiri. The sum of their age is 102. What is Jiri's age?
Answer:
Step-by-step explanation:
102-8= 94
94/2= 47
Jiri is 47 years old.
83. For what value of K will the points (1, 4), (-3, 16) and (k, -2) lie on one straight line.
Answer:
I don't know
Step-by-step explanation:
I don't know
Answer:
k = 3
Step-by-step explanation:
If the points lie on the same line then the slope between the points will be equal.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 3, 16)
m = [tex]\frac{16-4}{-3-1}[/tex] = [tex]\frac{12}{-4}[/tex] = - 3
Repeat the process and equate to - 3
with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (k, - 2)
m = [tex]\frac{-2-4}{k-1}[/tex] = [tex]\frac{-6}{k-1}[/tex] , then
[tex]\frac{-6}{k-1}[/tex] = - 3 ( multiply both sides by k - 1 )
- 6 = - 3(k - 1) ← divide both sides by - 3
2 = k - 1 ( add 1 to both sides )
3 = k
A student answers 20 out of the first 32 questions correctly, but gets three-quarters of remaining questions wrong. all the questions are equal value. if the students' score is 40%, how many questions were there is exam?
Answer:
80 Questions
Step-by-step explanation:
First 20/32
then 3/4 questions wrong
so let's say he got there were 48 remaining questions
then he would have 36 wrong and and 12 correct
therefore it would be..
20 + 12/32 + 48
32/80
__________________________________________
so let's check the answer
it says he got 40%
so let's do 32/80
= 0.4
to convert it into percentage times by 100
= 0.4 x 100
= 40%
Answer:
There are [tex]80[/tex] questions on this exam.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of questions on this exam in total (including the first [tex]32[/tex] questions.)
There would be [tex](x - 32)[/tex] questions after the first [tex]32[/tex].
Since the student got three-quarters of these wrong, only one-quarter ([tex]1 - (3/4) = (1/4)[/tex]) of these [tex](x - 32)[/tex] questions are correct. That would be another [tex](1/4) \cdot (x - 32)[/tex] right answers.
In total, the number of questions that the student got correct would be:
[tex]\begin{aligned} & 20 + \frac{1}{4} \cdot (x - 32) \\ =\; & 20 + \frac{x}{4} - 8 \\ =\; & 12 + \frac{x}{4}\end{aligned}[/tex].
On the other hand, it is given that the student got [tex]40\%[/tex] of the [tex]x[/tex] questions right. Hence, the number of correct answers may also be expressed as:
[tex]\begin{aligned} & (40\%) \, x\\ =\; & \frac{2\, x}{5} \end{aligned}[/tex].
Both expressions give the number of correct answers. Equate the two expressions and solve for [tex]x[/tex]:
[tex]\displaystyle 12 + \frac{x}{4} = \frac{2\, x}{5}[/tex].
[tex]\displaystyle \left(\frac{2}{5} - \frac{1}{4}\right)\, x = 12[/tex].
[tex]\displaystyle \frac{8 - 5}{20}\, x = 12[/tex].
[tex]\displaystyle \frac{3}{20}\, x = 12[/tex].
[tex]\begin{aligned} x &= 12 \times \frac{20}{3} \\ &= 80\end{aligned}[/tex].
In other words, there are [tex]80[/tex] questions on this exam in total.
Express using exponents and simplify any numerical coefficients.
Answer:
2×2×y¹+¹+¹+¹
that is 4y⁴
marke as brainliest pls
I believe that the answer would be to count up the y's and the 2's. so in this case it would be 4 • 4y
mr. jones has a patio in the sahpe of a trapezoid. a round fountain having a circumference of 14 pi linear feet is placed in the corner as showin in the accompanying diagram. to the nearest square foot, how much of the patio s area ins not taken up by the fountanin? reall tha the circumferencie of a circle is calculated using c = 2
The area of the patio not taken up by the fountain is 241ft²
Please find attached an image of the patio
Area of the patio not taken up by the fountain = area of patio - area of fountain
The patio is in a shape of a trapezoid. Thus, the area of the patio can be determined by using the formula for the area of a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices It has 4 edges If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogramArea of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Taking a look at the image, we are not provided with the height of the trapezoid, just the parallel sides and the hypotenuse.
Pythagoras theorem can be used to determine the the height of the trapezoid
The Pythagoras theorem : a² + b² = c²
where a = height
b = base = 20 ft - 12 ft = 8ft
8ft / 2 = 4
c = hypotenuse
a² + 4² = 25²
a² = 625 - 16
a² = 609
√609 = 24.68 ft
Area of the trapezoid = 0.5 x (20 + 12) x 24.68 = 394.88 ft²
The fountain is in the shape of a circle.
Area of a circle = πr²
Where : = π = pi = 22/7
R = radius
The radius would have to determined from the circumference
circumference of a circle = 2πr
14π = 2πr
r = 14π / 2π
r = 7
Area of the circle = [tex]\frac{22}{7}[/tex] × 7²
[tex]\frac{22}{7}[/tex] × 49 = 154 ft²
Area of the patio not taken up by the fountain = 394.88 ft² - 154 ft² = 240.88ft²
To round off to the nearest square, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is greater than 5, so one is added to 0. The number becomes 241ft²
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A computer parts company wants to make a rectangular memory board that has a perimeter of 14 cm and a diagonal of length 5 cm. What are the dimensions of the board?
Answer:
A computer parts company wants to make a rectangular memory board that has a perimeter of 28 centimeters and a diagonal length of 10 centimeters. Find the dimensions of the board. Consider the length to be the longer side.: Call the two sides L & W: the perimeter 2L + 2W = 28 Simplify, divide by 2 L + W = 14 L = (14-W); use this form for substitution
Step-by-step explanation:
==========================================================
Explanation:
x = width
y = length
both x and y are positive real numbers, and the units of which are in cm.
The perimeter of any rectangle is found by saying
P = 2*(length+width)
P = 2*(x+y)
Plugging in P = 14 leads us to
P = 2*(x+y)
14 = 2*(x+y)
14/2 = x+y
7 = x+y
Solve for one of the variables. Let's say we solve for y. That should get us y = 7-x which we'll use a bit later.
--------------
Notice how the diagonal forms two identical right triangles. The legs of which are x and y as defined earlier. The hypotenuse is 5, which is the diagonal length.
Use the pythagorean theorem to help solve for x
a^2 + b^2 = c^2
x^2 + y^2 = 5^2
x^2 + (7-x)^2 = 25 ... plug in y = 7-x
x^2 + 49 - 14x + x^2 = 25 ... use FOIL rule
2x^2-14x+49 = 25
2x^2-14x+49-25 = 0
2x^2-14x+24 = 0
2(x^2-7x+12) = 0
x^2-7x+12 = 0
(x-3)(x-4) = 0
x-3 = 0 or x-4 = 0
x = 3 or x = 4
If x = 3, then y = 7-x = 7-3 = 4
If x = 4, then y = 7-x = 7-4 = 3
We have this symmetry going on. If x is one of 3 or 4, then y is the other of those values. Because x = 3 and y = 4, or vice versa, this means we have a 3-4-5 right triangle (well to be fair we have two identical copies of such a triangle to form the rectangle).
Therefore, the dimensions of the rectangular board is 3 cm by 4 cm. The order doesn't matter so you could easily say "4 cm by 3 cm" to mean the same thing.
--------------
Check:
P = perimeter
P = 2*(length+width)
P = 2*(x+y)
P = 2*(3+4)
P = 2*7
P = 14
That helps confirm the answer.
Nine million, twenty-seven thousand, four hundred and forty-eight
9,027,448
9027448
9027448
9027448
A grocery store owner asked the first 20 children who visited the store one day about their favorite snack. This is what type of sampling
Answer:
Non-probability sampling: In non-probability sampling, the researcher chooses members for research at random. This sampling method is not a fixed or predefined selection process. This makes it difficult for all elements of a population to have equal opportunities to be included in a sample.
Step-by-step explanation:
Uses of non-probability sampling
Non-probability sampling is used for the following:
Create a hypothesis: Researchers use the non-probability sampling method to create an assumption when limited to no prior information is available. This method helps with the immediate return of data and builds a base for further research.
Exploratory research: Researchers use this sampling technique widely when conducting qualitative research, pilot studies, or exploratory research.
Budget and time constraints: The non-probability method when there are budget and time constraints, and some preliminary data must be collected. Since the survey design is not rigid, it is easier to pick respondents at random and have them take the survey or questionnaire.
How do you decide on the type of sampling to use?
For any research, it is essential to choose a sampling method accurately to meet the goals of your study. The effectiveness of your sampling relies on various factors. Here are some steps expert researchers follow to decide the best sampling method.
Jot down the research goals. Generally, it must be a combination of cost, precision, or accuracy.
Identify the effective sampling techniques that might potentially achieve the research goals.
Test each of these methods and examine whether they help in achieving your goal.
Select the method that works best for the research.
Select your respondents
Difference between probability sampling and non-probability sampling methods
We have looked at the different types of sampling methods above and their subtypes. To encapsulate the whole discussion, though, the significant differences between probability sampling methods and non-probability sampling methods are as below:
Probability Sampling Methods Non-Probability Sampling Methods
Definition Probability Sampling is a sampling technique in which samples from a larger population are chosen using a method based on the theory of probability. Non-probability sampling is a sampling technique in which the researcher selects samples based on the researcher’s subjective judgment rather than random selection.
Alternatively Known as Random sampling method. Non-random sampling method
Population selection The population is selected randomly. The population is selected arbitrarily.
Nature The research is conclusive. The research is exploratory.
Sample Since there is a method for deciding the sample, the population demographics are conclusively represented. Since the sampling method is arbitrary, the population demographics representation is almost always skewed.
Time Taken Takes longer to conduct since the research design defines the selection parameters before the market research study begins. This type of sampling method is quick since neither the sample or selection criteria of the sample are undefined.
Results This type of sampling is entirely unbiased and hence the results are unbiased too and conclusive. This type of sampling is entirely biased and hence the results are biased too, rendering the research speculative.
Hypothesis In probability sampling, there is an underlying hypothesis before the study begins and the objective of this method is to prove the hypothesis. In non-probability sampling, the hypothesis is derived after conducting the research study.
Reflect the given triangle over
the y-axis.
[3 6 3 ]
[-3 3 3]
Answer:
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}x_{1} &x_{2} &x_{3} \\y_{1} &y_{2} &y_{3} \end{array}\right][/tex] ---------> [tex]\left[\begin{array}{ccc}-x_{1} &-x_{2} &-x_{3} \\y_{1} &y_{2} &y_{3} \end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\end{array}\right][/tex]
Is this a parallelogram
Answer:
Yes!
Step-by-step explanation:
Since it has four sides and has parallel sets of lines on each side.
Q12 A baker wants to order enough flour for 10 loaves of bread weighing 750g each. She has a recipe for a 500g loaf of bread which needs 480g of flour. How many kilograms of flour does the baker need? Show your working
Answer:
7.2kg of flour
Step-by-step explanation:
Total weight of bread = 10 x 750g
= 7500g = 7.5kg
500g of bread = 480g of flour
0.5kg of bread = 0.48kg of flour
7.5kg of bread = 7.2kg of flour
After how many years, to the nearest whole year, will an investment of $100,000 compounded quarterly at 4% be worth
$213,022?
Provide your answer below:
9514 1404 393
Answer:
19 years
Step-by-step explanation:
The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
Solving for t, we get ...
t = log(A/P)/(n·log(1 +r/n))
Using the given values, we find t to be ...
t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000
The investment will be worth $213,022 after 19 years.
PLZ HELP ME AND IF U CAN XPLAIN
Answer:
B. 1/2
Step-by-step explanation:
Slope formula = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
[tex]\frac{(-4)-(-8) }{(6)-(-2)}[/tex]
[tex]\frac{4}{8}[/tex]
[tex]\frac{1}{2}[/tex]
