8. Write the composition of translations T(7,8) •T(-3,-4)
as one translation.
Answer:
T (4, 8)
Step-by-step explanation:
T(7,8) •T(-3,-4) = T ( -3+7, -4+8) = T( 4, 4 )
Instead of moving
(3 units to the left, and 4 units down) then ( 7units to the right and 8 units up) we could get to the same place by moving
( 4 units to the right and 4 units up)
Answer:
T (4, 8)
Step-by-step explanation:
T(7,8) •T(-3,-4) = T ( -3+7, -4+8) = T( 4, 4 )
Instead of moving
3 units to the left and 4 units down then 7 units to the right and 8 units up we could get to the same place by moving
4 units to the right and 4 units up
the chemical ________ can be used to trace the paths of afferent axons.
The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."
Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.
The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.
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a painter leans a 10 foot ladder against a house. the base of the ladder is 6 feet from the house. how high on the house does the ladder reach?
Answer:
7Ft
Step-by-step explanation:
(7ft) Because of Pythagorean Thm. Since the ladder is leaning against a building it makes 10ft the hypotenuse,
In the context of chi square, which pattern of cell frequencies in a 2x2 table would indicate that the variables are independent? a. Only the cells in the top row of the table have cases in them b. There are no cases in any celf c. There are a different number of cases in each of the tour cells d. All cell trequencics are exactly the same
Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.
In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.
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michelle is building a rectangular landing strip for airplanes. she has enough material to cover of a square mile. the landing strip must be of a mile long. with the amount of material that michelle has, what is the greatest possible width of the landing strip, in miles?
The greatest possible width the land strip, in miles with the amount of material that has is 1/250 miles wide.
A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms since their opposite sides are equal and parallel.
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of each rectangle serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
Let's say that her landing strip is x miles long, then its area would be:
1/6.x
We also know how big it is:
so,
1/6.x = 1/1500
x = 6/1500
x = 3/750
x = 1/250 miles
Therefore, possible width of the landing strip is 1/250 miles.
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Complete question:
Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing strip must be 1/6 of a mile long. With the amount of material that has , what is the greatest possible width the land strip, in miles?
If each grey square is 1cm in width and length, then what is the area of the shape? A. 15cm2 B. 12cm2 C. 13cm2 D. 22cm2
Answer: B. 12cm^2.
Step-by-step explanation:
To find the area of the shape, you need to count the number of squares inside it and then multiply that number by the area of a single square. If each grey square is 1cm by 1cm, then the area of a single square is 1cm x 1cm = 1cm^2. If you count the squares inside the shape, you will see that there are 12 squares. Therefore, the total area of the shape is 12cm^2. The correct answer is therefore B. 12cm^2.
pls hellp 30 points 3(2a+5)(4+1) select all true statements in 2a, 2 is a coefficient
The correct statements regarding the algebraic expression are given as follows:
In 2a, 2 is a coefficient.4 and 1 are like terms.How to interpret the algebraic expressions?In 2a, 2 is a coefficient, as it multiplies the letter that composes the expression.
(2a + 5) is a sum of two terms.
In (2a + 5), 5 is the constant.
4 and 1 are like terms, as they have the same variable part of x^0 = 1.
2a + 5 is a factor, not just 2a.
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In each of the problems state where in the typlane the hypotheses of Theorem 2.4.2 are satisfied11. dy/dt=1+t^2/3y-y^2
For dy/dt = (1 + t^2)/ (3y - y^2), the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point if y ≠ 0 and y ≠ 3.
The hypotheses of Theorem 2.4.2 state that for the initial value problem
dy/dt = f(t, y), y(t₀) = y₀
to have a unique solution in some interval t₀ - h < t < t₀ + h within α < t < β, provided that:
f and its partial derivative with respect to y, ∂f/∂y, are continuous in a rectangle α < t < β, γ < y < δ that contains (t₀, y₀).
To determine if the hypotheses are satisfied for the given differential equation we need to check if f and ∂f/∂y are continuous in a rectangle that contains the initial point (t₀, y₀). If they are, then the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point.
dy/dt = (1 + t^2)/ (3y - y^2)
dy/ dt = (1 + t^2)/ y(3 - y)
So dy/dt is not continuous at y = 0 and y = 3.
So the hypotheses of Theorem 2.4.2 are satisfied, and a unique solution exists in some interval around the initial point if y ≠ 0 and y ≠ 3.
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Which expression is represented by the model?
+
-X
+
O X-3
O X+3
O -x-3
O-X+3
first answer gets best marks
Answer:
-x+3
Step-by-step explanation:
3 plus signs so 1+1+1= 3
Bill averages 10 points a game and has 110 points for the season. Aaron averages 12 points a game and has 96 points for the season. Solve an equation to find how many games it will take until they tie in points scored if they continue at the same rate.
Answer:
ok yes
Step-by-step explanation:
The number of games it will take until they tie in points scored if they continue at the same rate is;
7 games.
We are told that Bill averages 10 points a game and has 110 points for the season.
Thus, number of games a season it will take bill to reach 110 points is; 110/10 = 11 games
Aaron averages 12 points per game and has 96 points for the season. Thus, number of games a season it will take bill to reach 96 points is;
96/12 = 8 games.
Now, let the additional number of games to be played for them to have the same points be x. Thus;
110 + 10x = 96 + 12x
12x - 10x = 110 - 96
2x = 14
x = 14/2
x = 7
In conclusion, the additional number of games it will take for Bill and Aaron to have the same number of points is 7 games.
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11. A landscaper is designing a rectangular garden, which will be 5.00 m
wide by 6.25 m long. She has enough crushed rock to cover an area
of 6.0 m² and wants to make a uniform border around the garden.
How wide should the border be, if she wants to use all the crushed
rock?
9514 1404 393
Answer:
25.5 cm
Step-by-step explanation:
If the walk is x meters wide, it adds 2x to the overall length and width. Then the area of the walkway is ...
(2x +5)(2x +6.25) -(5)(6.25) = 6
4x^2 +22.5x = 6 . . . . simplify left side
4x^2 +22.5x -6 = 0 . . . subtract 6 to put into standard form
Using the quadratic formula, the walkway width can be found to be ...
x = (-22.5 +√(22.5² -4(4)(-6)))/(2(4)) = (-22.5 +√602.25)/8
x ≈ 0.25510
The border width should be about 25.5 cm.
Write the equation that describes the line in slope intercept form slope =0 y-intercept =1/2
An equation of the line using slope-intercept form is y = 1/2.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided above, we can logically deduce that an equation in slope-intercept form that models the situation is given by:
y = mx + c
y = 0(x) + (1/2)
y = 1/2
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Which graphs are functions ( select all that apply
Answer:
The second and third option are both functions!!
Glad to help!!
Step-by-step explanation:
Un grupo de amigos cenan en un restaurante y deciden repartir el valor de la cuenta
en partes iguales. Si cada uno contribuye con Q125.00 faltan Q50.00 para pagar la
cuenta, pero si cada uno contribuye con Q150.00, entonces sobran Q75.00. ¿Cuál es
el valor de la cuenta?
Based on the equation, the total value of the bill is Q75.00.
How to explain the valueTotal contribution - Total bill = Shortage
125 * Number of people - X = 50
Total contribution - Total bill = Surplus
150 * Number of people - X = 75
We now have a system of two equations with two variables. Let's solve it to find the value of the total bill (X).
Equation 1: 125 * Number of people - X = 50
Equation 2: 150 * Number of people - X = 75
We can rearrange Equation 1 to solve for X:
X = 125 * Number of people - 50
Substituting this expression for X into Equation 2, we get:
150 * Number of people - (125 * Number of people - 50) = 75
Simplifying the equation:
150 * Number of people - 125 * Number of people + 50 = 75
25 * Number of people + 50 = 75
25 * Number of people = 25
Number of people = 1
Substituting the value of the number of people into Equation 1 to find X:
X = 125 * 1 - 50
X = 125 - 50
X = 75
Therefore, the total value of the bill is Q75.00.
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A group of friends have dinner at a restaurant and decide to share the value of the bill in equal parts. If each one contributes Q125.00, Q50.00 is missing to pay the account, but if each one contributes Q150.00, then Q75.00 is left over. Which account value?
Use Law of Sines and Cosines to find the missing measurements. Round all answers to the nearest tenth. Please show work
Given:
The boat heads west for 3700 m. The other two sides lie the north for the first side, and their lengths are 1700m and 3000m.
The diagram for this model is
Using cosine law to find the angle of C.
\(c=\sqrt[]{a^2+b^2-2ab\cos C}\)Taking square on both sides, we get
\(c^2=a^2+b^2-2ab\cos C\)\(\cos C=\frac{a^2+b^2-c^2}{2ab}\)Substitute a=1700, b=3000 and c=3700, we get
\(\cos C=\frac{1700^2+3000^2-3700^2}{2\times1700\times3000}\)\(\cos C=\frac{-1800000}{10200000}=-0.17647\)\(\angle C=\cos ^{-1}(-0.17647)\)\(\angle C=100.164^o\)\(\angle C=100.2^o\)
Hence the measure of angle C is 100.2 degrees.
Using sine law,
\(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\)Substitute a=1700, b=3000 and c=3700, and angle C=100.2 degrees, we get
\(\frac{\sin A}{1700}=\frac{\sin B}{3000}=\frac{\sin 100.2^o}{3700}\)\(U\text{se }\sin 100.2^o=0.9842.\)\(\frac{\sin A}{1700}=\frac{\sin B}{3000}=\frac{0.9842^{}}{3700}\)\(\frac{\sin A}{1700}=\frac{\sin B}{3000}=0.00027\)Consider
\(\frac{\sin A}{1700}=0.00027\)\(\sin A=0.00027\times1700\)\(\sin A=0.459\)\(\angle A=\sin ^{-1}(0.459)\)\(\angle A=27.322\)\(\angle A=27.3^o\)Hence the angle of A is 27.3 degrees.
Using triangle sum property, we get
\(\angle A+\angle B+\angle C=180^o\)\(\angle B=180^o-\angle A-\angle C\)\(\text{ Substitute }\angle A=27.3^o\text{ and }\angle C=100.2^o\text{, we get}\)\(\angle B=180^o-27.3^o-100.2^o\)\(\angle B=52.5^o\)
Hence the angle of B is 52.5 degrees.
Results:
\(\angle A=27.3^o\)
\(\angle B=52.5^o\)
\(\angle C=100.2^o\)
Neck cancer is a rare (<10% of the total population). If a case-control study were conducted and an odds ratio obtained, which relative measure would it most likely be estimating
If a case-control study were conducted to investigate the relationship between an exposure and a rare disease like neck cancer, the most likely relative measure that would be estimated is the odds ratio.
This is because the prevalence of neck cancer in the general population is low, which means that the incidence rate is also low. As a result, it is difficult to calculate the relative risk directly in a case-control study. Instead, the odds ratio is used as a measure of association between the exposure and the disease outcome.
The odds ratio is calculated by comparing the odds of exposure in cases to the odds of exposure in controls. The odds ratio can provide an estimate of the strength and direction of the association between the exposure and the disease outcome in the population being studied.
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Find the value of this variable
A. 146 degree
B. 73 degree
C. 84 degree
D. 62 degree
Help!!!
Answer: B. 73 degree
Step-by-step explanation:
We know that a triangle has 180 degree
62 + 84 = 146 degree
180 - 146 = 34 degree
34 degrees is the angle inside the triangle. The inside angle must add with the outside angle = 180 degree
So the outside angle is
2x = 146
x = 73
What is the numerical value of 1.2 × 1.222?
The numerical value of 1.2 × 1.222 is approximately 1.4664.
To calculate the numerical value of 1.2 × 1.222, we multiply the two numbers together. Let's break it down step by step:
Start with the multiplication operation: 1.2 × 1.222.
Multiply the decimal numbers without considering the decimal point. We have 12 × 1222.
Perform the multiplication of the whole numbers: 12 × 1222 = 14,664.
Count the total number of decimal places in both factors. In this case, we have one decimal place in 1.2 and three decimal places in 1.222.
Add the total number of decimal places from both factors. 1 + 3 = 4.
Place the decimal point in the product by counting four places from the right of the final result obtained in step 3.
The final result is 14,664, with the decimal point placed four places from the right, giving us 1.4664. Therefore, the numerical value of 1.2 × 1.222 is approximately 1.4664.
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this is very confusing to me
Answer
what is?
STEP-BY-STEP-EXPLANATION
A child starts a piggy bank with $2. Each day, the child receives 25 cents at the end of the day and puts it in the bank. If A represents the amount of money and d stands for the number of days then A(d) = 2 + 0. 25d gives the amount of money in the bank as a function of days (think about this formula)
The formula A(d) = 2 + 0.25d represents the amount of money in a child's piggy bank as a function of the number of days. The initial amount in the bank is $2, and each day the child receives 25 cents and adds it to the bank. By plugging in the number of days (d) into the formula, the total amount of money in the piggy bank can be calculated.
The formula A(d) = 2 + 0.25d breaks down as follows: A represents the amount of money in the bank, d represents the number of days, and 0.25 represents the 25 cents received at the end of each day. The initial amount of $2 is added to the product of 0.25 and the number of days, giving the total amount of money in the bank.
For example, after 5 days, the formula can be used to find the total amount in the bank: A(5) = 2 + 0.25 * 5 = 2 + 1.25 = $3.25. After 10 days, the calculation would be A(10) = 2 + 0.25 * 10 = 2 + 2.50 = $4.50.
By using this formula, the child or anyone interested can keep track of the amount of money accumulated in the piggy bank over time. It provides a simple and straightforward way to calculate the total based on the number of days.
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. Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a.mean b.median c.2ndquartile d.50thpercentile
The following is the least appropriate measure of central tendency for a data set that contains outliers is 2ndquartile.
A single number that seeks to characterise a set of data by pinpointing the centre position within that set of data is referred to as a measure of central tendency. As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
The mean, median, and mode are all reliable indicators of central tendency, however depending on the situation, some indicators are more useful than others.
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△RST is shown below. XU = –2y + 15 and XW = 3y + 5. There is a triangle RST in which V, W and U are the points on the side RS, side ST and side RT respectively. Segment RX is the angle bisectors of angle TRS, segment SX is the angle bisectors of angle RST, and segment TX is the angle bisectors of angle STR. Segment RX, segment SX, and segment TX intersect each other at point X. Segment XV is perpendicular to side RS, segment XW is perpendicular to side ST, and segment XU is perpendicular to side RT. Find the measure of the radius of the inscribed circle of △RST. Enter your answer in the box
The measure of the radius inscribed in the triangle RST is 11.
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2
Now,
Radius = XU
= -2(2) + 15
= 11
Thus, the required measure of the radius inscribed in the triangle RST is 11.
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Find the area. Simplify your answer.
X+4
2x
Answer:
x² +4x
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Given: base= 2x, height= x +4
Area of triangle
= ½(2x)(x +4)
= x(x +4)
= x(x) +x(4) (expand)
= x² +4x
Kim is solving the absolute value inequality |2x – 1| + 3 2x –1 rather than –3 –2.
Answer:fbf
Step-by-step explanation:
a counsellor, new to college was informed that students register an average of 13.6 credits each semester. assume the standard deviation of credits registered is 2.1 credits. the counsellor who wants to check, randomly samples 45 students, collects the credits registered by them this semester and computes sample mean (average).
Each sample has its own sample mean, and the distribution of sample means is called the sampling distribution. The average weight calculated for each sample set is the average sampling distribution.
The sample mean of sampling distribution, μₓ is 13.6..
We have given that
Sample : number of credits obtained by students
Sample size, n = 45
Sample standard deviations, σ = 2.1
population mean , μ = 13.6
we have to determine the sample mean of collected credits registered by them in this semester.
As we know , For samples of any size taken from a normally distributed population, then the sample mean is normally distributed, with mean μₓ = μ and standard deviation σₓ = σ/√n, where n is the sample size.
so, sample mean μₓ = μ= 13.6
and σ ₓ= σ /√n = 2.1/√45 = 0.372
So, Sample mean of Sampling distribution is 13.6 ..
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Find the volume of each hemisphere. Round to the nearest tenth. 6. 8ft. Volume of spheres
The volume of the hemisphere whose radius is 6.8 ft. is 658.2 ft³ rounded to the nearest tenth
The radius of each hemisphere = 6.8 ft.
Volume of sphere = 4/3 πr³
A hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape
So by dividing the equation in half we get
Volume of hemisphere = (4/3 πr³ )/2
Volume of hemisphere = 2/3 πr³
Putting the value of r in the equation
Volume of hemisphere = 2/3 × 3.14 × (6.8)³
Volume of hemisphere = 658.2 ft³
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What is a Metric prefix?
Answer:
Step-by-step explanation:
A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol.
This is the definition
Can Somebody solve all three images related to the math topic by similar and proportions
if a fair coin comes up heads five times in a row, then the probability that it will come up heads on the next flip is
The probability that it will come up heads on the next flip is still 0.5 (or 50%), regardless of the previous five consecutive heads or any previous outcomes.
The probability of flipping a fair coin and getting heads is always 0.5 (or 50%) because the coin has no memory of previous flips.
Each flip of a fair coin is an independent event, meaning the outcome of one flip does not affect the outcome of subsequent flips.
Even if a fair coin has come up heads five times in a row, the probability of getting heads on the next flip remains 0.5 (or 50%).
The previous outcomes do not influence the outcome of the next flip. Each flip is a separate event with an equal chance of heads or tails.
The probability of the coin coming up heads on the next flip is still 0.5 (or 50%), regardless of the previous five consecutive heads or any previous outcomes.
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pls help. due at 11:59
Answer:
see the attachment!
i hope this can help you.