The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
The absolute value (or modulus) |x| of a real number x is the non-negative value of x without regard to its sign.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
it defines removing any negative sign in front of a number and thinking of all numbers as positive.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system.
When x itself is negative (x<0), then its absolute value is necessarily positive
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alberto sold half of his comic books. and then bought nineteen more. he now has 43. with how many did he start with
Answer:
48
Step-by-step explanation:
First you should subtract 43 and 19
then you get a answer 24
Multiply it by 2
you get 48
Answer:
no. of books =48 books
Step-by-step explanation:
lets say that he started with
x
books so,
(X÷2)-19=43
X÷2=24
X=48
the radius of a wheel rolling on the ground is 80 centimeters. if the wheel rotates through an angle of 60, how many centimeters does it move? express your answer in terms of pand then round to two decimal places.
The radius of a wheel rolling on the ground is 80 centimeters. if the wheel rotates through an angle of 60. Therefore, It move to 84 cm.
Circumference Of Circle:
The total length of the circle boundary. The circumference of a circle is the product of the constant π and the diameter of the circle. A person walking across a circular park or a circular table needs this measure of circumference. The circumference is a length value and its units are the same as the length units. A circle is a round closed figure with all endpoints equidistant from a fixed point called the center.
The formula for the circumference of a circle is expressed using the values of the circle's radius 'r' and 'pi'. It is represented by the equation of circumference = 2πr. Using this perimeter formula, if you don't have a value for the radius, you can use the diameter to find it. To calculate the circumference is to use the formula circumference = π × diameter.
If you need to calculate the radius or diameter, consider the circumference of a circle and use the following formula:
Radius = circumference/2π
Now,
According to the Question:
If the radius is 80cm
and, the circumference is 2×π×80cm.
If the wheel rotates by 60° then a fraction 60/360 (= 1/6) of the circumference moves over the ground.
Therefore, the distance moved is
[tex]\frac{2*\pi*80 }{6}[/tex]
= 83.77580
≈ 84 cm.
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Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an? Why? O a n converges if and only if an < 2bn. Oman converges by the Comparison Test. O an diverges by the Comparison Test. We cannot say anything about an. o a n converges if and only if an 5 4bn. (b) If an
Nothing that we can say regarding an we are unsure of whether the terms of an are rising or falling, a passes the Comparison Test and sequence, Since bn, an also converges.
what is a sequence?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.
We are unable to comment on an.
This is due to the fact that bn converges, causing a to exceed bn, and as a result, we are unable to determine whether the terms of an are increasing or decreasing.
What can you say about an if a bn for all n? a passes the Comparison Test and converges.
This is due to the fact that since bn converges and a converges since bn, we may infer that the terms of an are likewise decreasing and that an also sequence since bn based on the comparison test.
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Please assist with C ii
Solve the equation 1-2/x^2 = -x-1
x = ?
The value of x in the expression 1 - (2/x²) = - x - 1 is ± √2, 4.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, An expression 1 - (2/x²) = - x - 1.
- (2/x²) + x = 2.
Multiplying each term by x².
- 2 + x³ = 2x².
x³ - 2x² = 2.
x²(x - 2) = 2.
x² = 2 ⇒ x = ± √2 Or x - 2 = 2 ⇒ x = 4.
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The length l of a pencil is 13cm to the nearest centimetre (cm) what number should go in the box to complete the error interval
The correct expression for the given error interval is; 12.5 cm ≤ l ≤ 13.4
How to find the error interval?Error intervals are defined as the limits of accuracy when a number has been rounded or truncated. These error intervals are the range of possible values that a number could have been before it was rounded or truncated.
Now, we can also say that Error interval is the range of values (between the upper and lower bounds) in which the precise value could possibly be.
Now, since the precise value is given as 13 cm after approximation to the nearest centimeter, then the lower bound will be 12.5 because it is the lowest number that can be approximated to 13. Meanwhile the upper bound will be 13.4 cm as it is the largest values that can be approximated to 13 cm. Thus, the inequality is;
12.5 cm ≤ l ≤ 13.4
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Cameron and his children went into a movie theater where they sell drinks for $6 each and candies for $5 each. Cameron has $100 to spend and must buy at least 18 drinks and candies altogether. If xx represents the number of drinks purchased and yy represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.
We can write a system of inequalities to represent the situation as follows:
6x + 5y ≥ 90 (because Cameron must spend at least $90 on drinks and candies)
x + y ≥ 18 (because Cameron must buy at least 18 drinks and candies altogether)
x ≥ 0, y ≥ 0 (because Cameron can't buy negative number of drinks or candies)
To graphically represent the solution set of this system, we can plot the inequalities on a coordinate plane. We can start by drawing the line representing the first inequality: 6x + 5y = 90. To find the slope-intercept form of this equation we can subtract 90 from both sides, 6x + 5y - 90 = 0, and we get: 6x + 5y = 90.
The second inequality is x + y ≥ 18 which is a boundary line.
The third inequality is x ≥ 0 and y ≥ 0 which means that both x and y should be non-negative.
The solution set of this system of inequalities is the intersection of the half-planes defined by the inequalities. This is the set of all points that lie in all three half-planes. One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.
Therefore, One possible solution is to have Cameron buying 18 candies and 6 drinks, this solution is (6,18) and it lies in the intersection of all three half-planes.
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question 18 the study method used to evaluate mother-child attachment is best described as: a. experimental. b. observational. c. inferential. d. statistical.
The study method used to evaluate mother-child attachment is best described as option A: experimental.
Children who refuse food by acting negatively or in opposition seem to be a common theme in feeding interactions between depressed mothers and their kids. The purpose of this study was to examine parenting behaviours in the setting of feeding in moms who were suffering from serious depression from an attachment theory perspective. The easiest way to sum up the research design used to assess mother-child attachment is option A: experimental.
The idea of sensitive responsiveness was developed by attachment theory to measure a mother's capacity to empathetically recognise and respond to her child's signals. Their attitudes and behaviours when providing care may be badly impacted by this distress, which may be pervasive.
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write an expression to represent the sum of three consecutive odd integers in which n is the least number.
An expression to represent the sum of three consecutive odd integers is 3n + 3
The term expression in math is known as a sentence with a minimum of two numbers or variables and at least one math operation.
Here we have given that an expression to represent the sum of three consecutive odd integers in which n is the least number.
As here we have given that since the smallest integer is n,
And then it can be written as n+1 and n + 2 are the consecutive integers after that.
And then finally here we have to know that if you add them all up, then it becomes (n) + (n+1)+(n + 2) or simply 3n+3.
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a cylindrical water tank with its circular base parallel to the ground is being filled at the rate of 4 cubic feet per minute. the radius of the tank is 2 feet. how fast is the level of the water in the tank rising when the tank is half full?
Answer:
To solve this problem, we need to use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Step 1: We know that the radius of the tank is 2 feet and that it is being filled at a rate of 4 cubic feet per minute. We also know that the tank is half full, so we can assume that the height of the water in the tank is half the height of the tank itself.
Step 2: We can use the volume formula to find the volume of the tank when it is half full.
V = πr^2h
V = π(2^2)(h/2)
V = 4πh/2
Step 3: We can divide the rate of fill by the volume of the tank when it is half full to find the rate of change of the height of the water.
dh/dt = 4/(4π/2)
dh/dt = 2/π ft/min
Final Answer: The level of the water in the tank is rising at a rate of 2/π feet per minute when the tank is half full.
if 1,000,000 people are exposed to 10 msv, then what is the expected number of radiation induced cancers according to the linear no threshold model of cancer induction
The expected number of radiation induced cancers according to the linear no threshold model of cancer induction is 500
Radiation is defined as the energy that comes from a source and travels through space at the speed of light.
Here we have given that 1,000,000 people are exposed to 10 msv and here we need to find the the expected number of radiation induced cancers according to the linear no threshold model of cancer induction.
As we all know that the amount of dose depends on the type of x-ray examination. A CT examination with an effective dose of 10 milli Sieverts
And it may be associated with an increase in the possibility of fatal cancer of approximately 1 chance in 2000.
therefore, here we have the total number as 1,000,000
Then the expected number if calculated as,
=> 1,000,000/2000
=> 500
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The vertices of quadrilateral ABCD are given. Draw ABCD in a coordinate plane and show that it is a parallelogram.
A(-2, 3), B(-5, 7), C(3, 6), D(6, 2)
The quadrilateral is parallelogram, When the vertices of quadrilateral ABCD are given.
A parallelogram is a two-dimensional shape that has a pair of two parallel and congruent sides. It is the simplest type of quadrilateral that has opposite sides equal and parallel.
The opposite angles of a parallelogram are also equal and the sum of two consecutive angles is always supplementary. It has two unequal diagonals.
A point always represents the location of a particular place or position in a standard cartesian system, and the coordinates of the point represent the distances from the respective coordinate axis.
For example, consider a point P(x,y), in which the coordinates x and y are the perpendicular distances from the x-axis and the y-axis respectively.
The formula to find out the distance between two points is generally known as the Distance formula which can be expressed as:
d=√(x₂−x₁)²+(y₂−y₁)²
Given:
The vertices of the quadrilateral
A B C D: A(-2,3),B(-5,7),C(3,6), D(6,2).
The measure of the sides of the quadrilateral
d=√(x₂−x₁)²+(y₂−y₁)²
AB=√(-5-(-2))²+(7-3)²
Ab=√(-3)²+4²
AB=√25
AB=5units.
BC=√(3+5)²+(6-7)²
BC=√(8)²+1²
BC=√65 units.
CD=√(6-3)²+(2-6)²
CD=√3²+4²
CD=√25
CD=5 units.
AD=√(6-(-2))²+(2-3)²
AD=√(-8)²+1²
AD=√65 units.
The diagonals:
BC=√(3+5)²+(6-7)²
BC=√(8)²+1²
BC=√65 units.
AC=√(3+2)²+(6-3)²
AC=√(5)²+3²
AC=√25+9
AC=√34 units
Here, AB=CD and BC=AD and AC≠BC
Thus, the given quadrilateral is parallelogram.
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During a hammer thrower’s practice swings, the 7.1-kg head A of the hammer revolves at a constant speed in a horizontal circle as shown. Knowing that the speed of the hammer is 2.5 m/s and θ = 60°, determine (a) the tension in wire BC, (b) the radius of the circle, rho.
(a) The value of the tension in wire BC will be = 80.4 N
(b) The value of the speed of the hammer’s head will be = 2.30 m/s
Mass of the head of the hammer = 7.1 Kg.
The speed at which it is revolving = v
value of ρ=0.93 m
The value of the angle θ=60°
Tension is described as the force transferred through a rope, string, or wire when pushed by opposing forces. The tension force is directed along the length of the wire and draws energy evenly on the bodies at the ends.
(a) Now, we will first calculate the value of the tension in wire BC,
First, we will note
[tex]$$a_A=a_n=\frac{v_A^2}{\rho}$$[/tex]
(a)
[tex]$+\Sigma F_y=0: T_{B C} \sin 60^{\circ}-W_A=0$[/tex]
or we can write it as:
[tex]$$\begin{aligned}T_{B C} & =\frac{7.1 \mathrm{~kg} \times 9.81 \mathrm{~m} / \mathrm{s}^2}{\sin 60^{\circ}} \\\end{aligned}$$[/tex]
=> =80.426 N
=>= 80.4 N (approx)
(b) Now calculate the speed of the hammer’s head.
[tex]$\quad+\Sigma F_x=m_A a_A: T_{B C} \cos 60^{\circ}=m_A \frac{v_A^2}{\rho}$[/tex]
or
[tex]$$v_A^2=\frac{(80.426 \mathrm{~N}) \cos 60^{\circ} \times 0.93 \mathrm{~m}}{7.1 \mathrm{~kg}}$$[/tex] = 2.30 m/s
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Note: The correct question may be like this:
During a hammer thrower’s practice swings, the 7.1-kg head A of the hammer revolves at a constant speed v in a horizontal circle as shown. If ρ=0.93m and ,θ=60° determine (a) the tension in wire BC, (b) the speed of the hammer’s head.
The needed diagram is attached below
Write an expression that represents the height of a tree that begins at 6.7 feet and increases by 2.9 feet per year. Let t represent the number of years.
An expression that represents the height of a tree is 6.7 + 2.9.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Here, we have
Given
The initial height of the tree is 6.7 feet
The increase in height per year = 2.9 feet
Thus,
The expression will be = 6.7 + 2.9t,
Here t represents the number of years.
Hence, an expression that represents the height of a tree is 6.7 + 2.9.
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To support a triangular kite, Hana
attaches thin strips of wood from each vertex
perpendicular to the opposite edge. She
then attaches the kite's string at the point
of concurrency. To calculate the point of
concurrency, she determines the coordinates
of each vertex on a coordinate plane. What
are the coordinates where the wood strips
cross? Round your answer to the nearest
hundredth.
The slope of the line parallel to BC is 18/7 * (x + 0) is 18/7 y. the orthocenter is where concurrency occurs.
What is the slope of the line parallel to BC ?Hana fastens tiny wood strips perpendicular to the opposing edge from each vertex. As a result, the orthocenter is where concurrency occurs.
Given: Hana fastens small wood strips perpendicular to the opposing edge from each vertex.
As a result, the orthocenter is where concurrency occurs.
Think of the ABC triangle with coordinates.
A(0, 0) B(0, 58), C(36, 44) (36, 44)
first determine the angles of the triangle's two sides.
Formula for slope: (y 2 - y 1)/(x 2 - x 1)
slope of the AB& A(0, 0) matrix side matrix, Slope of BC side B(0,58), B(0, 58) = (58 + 0)/(0 + 0) = 0 C(36,44) = (44 - 58)/(36 + 0) = - 14/36 = - 7/18
Use Equation of the altitude perpendicular to AB's point slope form after that.
The vertex in opposition to AB is point C.
A line perpendicular to AB has a slope of zero.
y-y 1 = m(x-x 1) y-44 = 0(x-36) y = 44
Altitude Equation Perpendicular to BC
The vertex opposite BC is Point A. A line perpendicular to BC has a slope of 18/7.
y + 0 = 18/7 * (x + 0)
y = 18/7 * x
Change the value of y in the equation above. y = 18/7 * x 44 = 18/7 * x
x = 17.11 The slope of the line parallel to BC is 18/7 * (x + 0) = 18/7 y.
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Austin's brother loaned him $20 and asked him to pay him back in 3 months. He's going to charge 4% interest. Austin is excited about all extra money he will make in interest. Is is correct to be excited?
Answer:
Step-by-step explanation:
Yes, it is correct for Austin to be excited about the extra money he will make in interest. Interest is a common form of compensation for loaning money to another person, and it is generally expected to be paid back along with the principal amount. In this case, Austin will earn 4% interest on the $20 loan over the course of 3 months, which works out to be a total of $0.80. This is a relatively small amount, but it is still money that Austin would not have had if not for the loan. Therefore, it is reasonable for Austin to be excited about the opportunity to make a little extra money.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
-15
Step-by-step explanation:
im thinking +[-15] and [-15] are the same thing
2. Divide $7200 into four parts proportional
to 1:2:3:4. How much is each part?
Answer: 720, 1440, 2160, 2880
Step-by-step:
Create arbitrary variable a, such that 7200 = a + 2a + 3a + 4a.
Reduce to get 720 = a
and plug in a into the set {a, 2a, 3a, 4a} to get the answer
find a cartesian equation for the curve and identify it. r = 7 cos(θ)
The cartesian equation for the curve r = 7 cos(θ) is [x -(7/2)]²+y² = 49/4, which is the equation of a circle.
Given r =7 cosθ
Multiplying throughout by ‘r’,
r² =7r cos θ --- (1)
Consider x² + y² = r² and put x = r cos θ --- (2)
x² + y² = 7x
Using completing the square method:
x² - 7x + (7/2)² + y² = (7/2)²
[x - (7/2)]² + y² = 49/4
(x - 7/2)² + (y - 0)² = (7/2)²
This is the equation of the circle with a center (7/2, 0) and radius of 7/2.
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if r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?
a. 3 (6)-1/2(6) +1
b. (6)/ 2(6)+1
c. 36-1/26+1
d. (6)-1/(6)+1
If the expression [tex]r(x) = 3x - 1[/tex] and the expression [tex]s(x) = 2x + 1[/tex] , then the expression equivalent to [tex]\frac{r}{s} (6)[/tex] is (a) [tex]\frac{3(6)-1}{2(6) +1}[/tex] .
What are Algebraic Expression ?
The algebraic Expression are defined as the expressions that are written with the combination of variables and constants joined by mathematical operators , For Example : [tex]3x+7[/tex] .
Here the two expressions are given as [tex]r(x) = 3x - 1[/tex] and [tex]s(x) = 2x + 1[/tex] ;
we have to find equivalent expression for [tex]\frac{r}{s} (6)[/tex] ;
By the Division Property of Algebraic Expression ;
it can be written as : [tex]\frac{r(6)}{s(6)}[/tex] ;
So , Substituting [tex]x=6[/tex] , in r(x) ,
we get ; [tex]r(6) = 3(6) - 1[/tex] , ......equation(1)
On Substituting [tex]x=6[/tex] , in s(x) ,
we get ; [tex]s(6) = 2(6)+1[/tex] , ....equation(2) ;
Substituting the values of r(6) and s(6) from equation(1) and equation(2) in [tex]\frac{r(6)}{s(6)}[/tex] ;
we get ;
⇒ [tex]\frac{r(6)}{s(6)} = \frac{3(6)-1}{2(6) +1}[/tex] ;
Therefore , the expression equivalent to [tex]\frac{r}{s} (6)[/tex] is [tex]\frac{3(6)-1}{2(6) +1}[/tex] .
The given question is incomplete , the complete question is
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to r/s(6) ?
(a) [tex]\frac{3(6)-1}{2(6) +1}[/tex]
(b) [tex]\frac{(6)}{2(6)+1}[/tex]
(c) [tex]\frac{36-1}{26+1}[/tex]
(d) [tex]\frac{(6)-1}{(6)+1}[/tex]
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A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 11(1.01)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function?
Part B: What does the y-intercept of the graph of the function f(d) represent?
Given: f(d) = 11(1.01)d, which will display equation of the radius of the algae.
An easy equation is what?Simple Equation: What Is It? two phrases along either side of a sign are connected by a mathematical equation. Usually, it only includes one variable and an equal sign. Example: 2x – 4 = 2.
Solution:
Part A: 11.79 = 11(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d= 11.79/11 (1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d(1.01)d= 1.071818 d = log 1.0718
When domain = 0 d = 0 f(0) = 11, the y-intercept is found (Part B) (1.01)
^{0}11(1.01)0\s= 11 x 1 = 11 f(d) = 11
Part C: Average rate of change, f/d = (f(7) - f(2)) / (7 - 2) = (11(1.01)711(1.01)211(1.01) 2) / 5 = 0.57 / 5 = 0.114
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Given: f(d) = 11(1.01)d, which will display equation of the radius of the algae.
An easy equation is what?Simple Equation: What Is It? two phrases along either side of a sign are connected by a mathematical equation. Usually, it only includes one variable and an equal sign. Example: 2x – 4 = 2.
Solution:
Given:
f(d) = 11(1.01)d
To Find:
Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function?
Part B: What does the y-intercept of the graph of the function f(d) represent?
Part A:
[tex]11.79 = 11(1.01)^{d}11(1.01)d\\(1.01)^{d}(1.01)d\\= 11.79/11(1.01)^{d}(1.01)\\= 1.071818\\d = log 1.071818 / log 1.01\\d = 6.97[/tex]
Part B:
y-intercept is obtained when domain = 0
[tex]d = 0 ⇒ f(0) = 11(1.01)^{0}11(1.01)0\\= 11 x 1 = 11\\f(d) = 11[/tex]
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Is dividing by 1 2 the same as 2?
No, dividing by 1/2 is not the same as dividing by 2. Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.
Dividing by 1/2 means to take a number, and then divide it by 1/2. For example, 8 divided by 1/2 would be 16.
Dividing by 2 means to take a number, and then divide it by 2. For example, 8 divided by 2 would be 4.
Dividing by 1/2 involves taking a number and dividing it by one half of itself. For example, if you were to divide the number 8 by 1/2, the result would be sixteen. On the other hand, dividing by 2 means taking a number and dividing it by two. If you were to divide the number 8 by 2, the result would be four. Both operations involve division, but the results are not the same. Dividing by 1/2 involves taking a number, doubling it, and then dividing the result by two, while dividing by 2 involves taking a number and simply dividing it by two. The difference in results can be seen when comparing 8 divided by 1/2, which is 16, and 8 divided by 2, which is 4. Consequently, these two operations are not the same.
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the student population of school is 480. 85% participate in atleast one extra-curricular activity. how many students participate in at least one extra-curricular activity ?
Answer: 408
Step-by-step explanation:
85% is equal to 0.85 in decimal form.
So, the answer is [tex](480)(0.85)=408[/tex] students.
Answer:
408
Step-by-step explanation:
In decimal notation, 85% is 0.85.
what are the composite factors of 12 ?
Answer:
The prime factors of 12 are 2 x 2 x 3.
So the composite factors of 12 are:
1, 2, 3, 4, 6 and 12.
Below is a multiple correlation table. Based on the correlation values, which predictor would lead to the least prediction error in predicting happiness using simple regression
From the correlation table , based on the correlation values , then the predictor that would lead to least prediction error in predicting happiness using simple regression is stats class .
What is Predictor Variable ?
The predictor variable is used to predict the future outcome based on some given circumstances. The Other names by which predictor variable is known as "criterion variable" and "explanatory variable" .
the best predictor from the given correlation table is the highest value in the table ; irrespective of the sign .
We have to predict happiness using the simple regression ;
So to find the predictor , we select the row in the happiness row ,
we can see that the biggest value for the happiness row is 0.41 , which is the stats class .
Therefore , The predictor that lead to least prediction error is Stats Class .
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15. Lori is 4 years younger than Shawn. Write an expression that represents Lori's age in relation
to Shawn.
Answer:
Step-by-step explanation:
You will need to utilise algebraic expressions to create an equation to show Lori's age in relation to Shawn.
The procedure will be completely described in the sections that follow with step-by-step instructions .
Let us assume that Shawn's age is x and Lori's age is y .Younger denotes negative sign in algebric expression ( - ) .If Lori is 4 years younger than Shawn, then Lori is 4 years younger than Shawn.Therefore, an expression that represents Lori's age in relation to Shawn can be written as following : y=x-4Learn more about the expression here :
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What is the length of segment AB?
50
I attached a pic of my work.
so what I did was find the amount of the other sides of the triangle using their opposite congruent sides. aka, the bottom is 90, which means the top should also be 90. and 90-50 is 40, so the rest of that side (which is one side of the triangle) should be 40.
and then I used the pythagorean theorem, since it is a right triangle (indicated by the squares in the corners).
the theorem states that a^2 + b^2 = c^2
so just plug in the legs (a and b), and you should get the amount of segment AB (which is c)
4. you are looking for a deep spot to take a swim in a local river. the width of the river is about the same all along its length, but there are places where the water flows quickly and places where it flows slowly. which is a better choice for a swim?
The best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
If you are looking for a deep spot to take a swim in a local river, the best choice is to go where the water flows slowly. The speed of the water is determined by the formula:
v=Q/A,
where v is the speed of the water, Q is the discharge rate, and A is the cross-sectional area of the river. As Q is constant for the same river, a slower water flow can be achieved by increasing A, which is the cross-sectional area of the river. Therefore, the best choice for a deep spot to take a swim is to go to a place in the river where the cross-sectional area is larger, and the water flows slower.
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howard collected data from a random sample of 600 people in his town asking whether or not they attend church. based on the results, he reports that 48% of the people in his state attend church. why is this statistic misleading?
This statistic is misleading because Howard surveys only his department and not members of all the departments that the company has.
When studying anything from a population, it is usual practice in statistics to identify a sample of that group.
However, the sample has to be representative.
For example: I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So I ask, let's say, 1000 randomly selected Buffalo residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents. This is not representative of all New York State residents, just Buffalo residents.
Howard wants to know the proportion of employees of a company who use the company's healthcare. He asks only his department. However, a company as multiple departments, which leads to the statistics found in Howard's survey being misleading.
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Holly's garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together. What part of the garden would each fenced area be? please help I forgot how to do it for my lil brother just answer E
There are two ways to fence the garden in 3 areas with some equal sections.
2/5, 2/5, 1/5 and 3/5, 1/5, 1/5.
Fraction definition
A fraction depicts a segment or component of the whole. It represents the equal parts that make up the whole. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that are taken.
Given The garden is divided into 5 equal pieces, each of which is 1/5 of the total garden size.
By arranging some equal parts together, she will fence the garden into three sections. There are two ways to do this.
(1/5 +1/5) = 2/5
(1/5 +1/5) = 2/5
1/5
these are the 3 areas 2/5, 2/5, 1/5.
and
(1/5 +1/5 + 1/5) = 3/5
1/5, 1/5
these are 3 areas = 3/5, 1/5, 1/5.
Hence there are only two ways to fence the garden into three areas by grouping some equal sections.
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Solve for X, Leave in simplest radical form.
Hope it helps.
If you have any query, feel free to ask.
