9514 1404 393
Answer:
8
Step-by-step explanation:
The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...
AD² = AB·AC
144 = AB(AB +10)
We can add 25 to complete the square.
169 = (AB +5)² . . . write as a square
13 = AB +5 . . . . . . positive square root
8 = AB . . . . . . . . . .subtract 5
A rectangular yard has dimensions 10 meters by 8 meters. In the middle of the yard is a rectangular pond of 8 square meters, leaving a uniform walkway around the pond. Write a quadratic equation in standard form to find the width of the walkway.
hahahaha i had this same question in my grade
Find the slope of the line. Describe how one variable changes in relation to the other. A. 2; distance increases by 2 miles per hour B. 2; distance decreases by 2 miles per hour C. 1/2; distance increases by 1 mile every 2 hours D. 1/2; distance decreases by 1 mile every 2 hours
The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.
What is a good example of a line's slope?
The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.
A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.
B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.
C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.
D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.
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1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
Andy has 20 coins made up of quarters and half dollars, and their total value is $9.25. How many quarters does he have?
Using simple linear equations, we can calculate that Andy has 3 quarters.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Let the number of quarters Andy has = x
number of dollars Andy has = 20 - x
value of quarter = 0.25x
value of dollars = 0.5(20 - x)
Total value = $9.25
⇒ 0.25x + 0.5(20 - x) = 9.25
⇒ 0.25x + 10 - 0.5x = 9.25
⇒ - 0.25x = 9.25 - 10
⇒ - 0.25x = - 0.75
⇒ x = 3
Andy has quarter = 3
He has dollars = 20 - 3 = 17
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Solve for x.My choice is 1. -1/4=1 or 2. -3/4x =1 or 3. 7=1/4 x or 4. 7=3/4x-1/2x+3=4-1/4x.
The equation is
\(\begin{gathered} -\frac{1}{2}x+3=4-\frac{1}{4}x \\ -\frac{x}{2}+\frac{x}{4}=4-3 \\ \frac{-2x+x}{4}=1 \\ -x=4 \\ x=-4 \end{gathered}\)So x= -4 is the correct answer.
The is the independent variable
The independent variable for Scenario A is given as follows:
a. The employee benefits package.
What are dependent and independent variables?In the case of a relation, we have that the independent and dependent variables are defined as follows:
The independent variable is the input.
The dependent variable is the output.
In the context of this problem, we have that the input and the output are given as follows:
Input: Employee benefits package.Output: Employee satisfaction.Hence the independent variable for Scenario A is given as follows:
a. The employee benefits package.
Missing InformationThe complete problem is given as follows:
Scenario A. The manager at Dunder-Mifflin Paper Company interested in understanding how a company's employee benefits influence employee satisfaction. In 2020 the company implemented a new benefits package that included optional benefits such as childcare, eldercare, and retirement packages. The manager compares the employee satisfaction ratings from before and after the new benefits package was implemented.
1. What is the independent variable for Scenario A?
a. The employee benefits package
b. The work from home policy
c. Employee productivity
d. The employees at the company
e. The office layout (floorplan)
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Use implicit differentiation to find an equation of the tangent line to the curve at the given points. (x2 + y2)2 = 3x2y − y3;
(a) (0, −1),
(b) (−1/2, 1/2)
Answer:
a.\(y+1=0\)
b.\(2x+4y=1\)
Step-by-step explanation:
We are given that
\((x^2+y^2)^2=3x^2y-y^3\)
a.(0,-1)
Differentiate w.r.t x
\(2(x^2+y^2)(2x+2yy')=6xy+3x^2y'-3y^2y'\).....(1)
Substitute x=0 and y=-1 in equation (1)
\(2(0+1)(-2y')=-3y'\)
\(-4y'+3y'=0\)
\(-y'=0\)
\(y'=0\)
\(m=y'=0\)
Point-slope form:
\(y-y_0=m(x-x_0)\)
Using the formula
\(y+1=0\)
This is required equation of tangent line to the given curve at point (0,-1).
b.(-1/2,1/2)
Substitute the value in equation (1)
\(2(1/4+1/4)(-1+y')=6(-1/2)(1/2)+3(1/4)y'-3(1/4)y'\)
\(2(2/4)(-1+y')=-3/2+3/4y'-3/4y'\)
\(-1+y'=-3/2\)
\(y'=-3/2+1=\frac{-3+2}{2}=-\frac{1}{2}\)
\(m=y'=-1/2\)
Again using point-slope formula
\(y-1/2=-1/2(x+1/2)\)
\(\frac{2y-1}{2}=-\frac{1}{4}(2x+1)\)
\(2y-1=-\frac{1}{2}(2x+1)\)
\(4y-2=-2x-1\)
\(2x+4y=2-1\)
\(2x+4y=1\)
If triangles ABC and XYZ are similar, what is the length of side b?
Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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WILL GIVE BRAINLIST A concept map for four types of intermolecular forces and a certain type of bond is shown.
Which of the following correctly identifies the intermolecular force represented by D and compares its strength relative to the intermolecular force represented by C?
a
D represents ion-dipole forces, which are weaker than the force represented by C.
b
D represents hydrogen bonding, which is weaker than the force represented by C.
c
D represents ion-dipole forces, which are stronger than the force represented by C.
d
D represents hydrogen bonding, which is stronger than the force represented by C.
[(picture attached bellow)
The statement which correctly identifies the intermolecular force which is represented by D and compares its strength relative to the intermolecular force represented by C is that: C. D represents ion-dipole forces, which are stronger than the force represented by C.
What are the type of intermolecular forces?In Chemistry, there are different types of intermolecular force (chemical bonds) and these include the following:
Hydrogen bonds,London dispersion forces (LDF). Ion-dipole forces.Dipole- dipole interactions.What is an ion-dipole force?In Chemistry, an ion-dipole force can be defined as an attractive force which arises from the electrostatic attraction between an ion and a neutral molecule that contains a dipole.
Additionally, an ion-dipole force is most commonly found in solutions because they are composed of polar molecules such as is represented by bond (letter) D.
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Pls I need the answer
Answer:
13/200
Step-by-step explanation:
so we grab the fraction:
6 1/2%
make it a decimal instead of a fraction
6.5%
divide it by 100 to get
6.5/100
and multiply it by 2 because decimals have no place inside fractions lol
13/200
5. Determine the value of t4 in an arithmetic sequence given that t₁ = 11 and S9 = 243.
The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).
We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.
From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:
243 = (9/2)(2(11) + (9-1)d)
243 = 9(22 + 8d)
243 = 198 + 72d
45 = 72d
d = 45/72 = 5/8
Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:
tₙ = a + (n-1)d
t₄ = 11 + (4-1)(5/8)
t₄ = 11 + 3(5/8)
t₄ = 11 + 15/8
t₄ = 88/8 + 15/8
t₄ = 103/8
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help meeeeeeeeee pleaseee
Answer:
I think this would convert to (-infinity,-4).
Step-by-step explanation:
Forgive me if I'm wrong, but this is the best i could remember from when I was learning this.
I literally went on brainly to see someone breaking up with someone on my question... I am going insane
Answer:
BAHHAHAHAHAHHAHAHAHHAHA
Answer:
Lol
......................
Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x)=……..
Using the mean value theorem in f(x) = 1/2x² + 7, c = 2√3
What is the mean value theorem?The mean value theorem states that let f be continuous over the closed interval [a,b] and differentiable over the open interval (a,b). Then, there exists at least one point c ∈(a,b) such that f'(c) = [f(b) - f(a)]/(b - a)
To find c using the mean value theoren for f(x) = 1/2x² + 7 over the interval [0, 6], we proceed as follows.
Uisng the mean value theorem, we know that
f'(c) = [f(b) - f(a)]/(b - a)
⇒ f(c) = 1/(b - a)∫ₐᵇ[f(x)
Now over the interval [a, b] = [0,6]
f(c) = 1/(6 - 0)∫₀⁶[f(x)
Now, since f(x) = 1/2x² + 7
Substituting this into the equation, we have that
f(c) = 1/(6 - 0)∫₀⁶[f(x)
f(c) = 1/(6 - 0)∫₀⁶(1/2x² + 7)
f(c) = 1/6∫₀⁶(1/2x² + ∫₀⁶7)
f(c) = 1/6[1/2x³/3 + 7x]₀⁶
f(c) = 1/6[x³/6 + 7x]₀⁶
f(c) = 1/6[6³/6 + 7(6)] - [0³/6 + 7(0)]
f(c) = 1/6[6²+ 42] - [0 + 7(0)]
f(c) = 1/6([36 + 42] - [0 + 0])
f(c) = 1/6(78 - 0)
f(c) = 1/6(78)
f(c) = 13
Now, since f(x) = 1/2x² + 7
f(c) = 1/2c² + 7
1/2c² + 7 = 13
1/2c² = 13 - 7
1/2c² = 6
c² = 2 × 6
c² = 12
c = √12
c = 2√3
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M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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Suppose the equilibrium wage for unskilled workers in New Jersey is $16 per hour. How will the wages and employment of unskilled
workers in New Jersey change if the state legislature raises the minimum wage from $8.85 per hour to $15 per hour?
Wages of unskilled workers will increase/decrease/or not change?
Employment of unskilled workers will increase/decrease/or not change?
Answer:
it will increase the production
Step-by-step explanation:
Heather makes $10 per hour working at the mall. Which
equation represents the total amount of money, d, Heather
makes in h hours?
Ah = 10+ 0
B
d = 10h
C) h = 10-d
D d = 10+h
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Answer:
the answer is D = 10(h)
Step-by-step explanation:
The equation to represent the total amount of money is d=10h. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Heather makes $10 per hour working at the mall.
Let d be the total amount of money and h be number of hours.
So, total amount of money =10h
⇒ d=10h
The equation to represent the total amount of money is d=10h. Therefore, option B is the correct answer.
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(-2,-3), m=0
How do you get to -3
Answer:
y = -3
Step-by-step explanation:
You want the equation of a line with slope 0 through the point (-2, -3).
Point-slope formThe point-slope form equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Adding k to both sides gives the "y =" form ...
y = m(x -h) +k
ApplicationWhen m=0 and (h, k) = (-2, -3), this becomes ...
y = 0(x -(-2)) + (-3)
y = -3 . . . . . . simplified
__
Additional comment
Anything times 0 is 0. So, the product 0(x +2) is 0.
Anything added to 0 is unchanged. So, the sum y = 0 -3 is y = -3.
When the slope is zero we get y= -3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
As, the Point-slope form
The point-slope form equation for a line with slope m through point (h, k) is
y = mx + b
When m=0 and (h, k) = (-2, -3)
y = 0(x -(-2)) + (-3)
y = -3
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Which expression is equivalent to 1/3b+2/3b-5/6(b+1)
the answer is (a) \(\frac{1}{6}b-\frac{5}{6}\)
In order to combine the two terms that have a 3b common denominator, we can first do so to simplify the statement 1/3b + 2/3b - 5/6(b+1):
1/3b + 2/3b = 3/3b = 1/b
what are expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
from the question:
In order to combine the two terms that have a 3b common denominator, we can first do so to simplify the statement 1/3b + 2/3b - 5/6(b+1):
1/3b + 2/3b = 3/3b = 1/b
We can now reintroduce this value into the first expression:
1/b - 5/6(b+1)
We can distribute the 5/6 term in order to further simplify this:
1/b - 5/6b - 5/6
Now that the first two terms share a common denominator of 6b, we may combine them:
6/6b - 5/6b - 5/6
Simplifying this gives us:
1/6b - 5/6
Therefore, the answer is (a) 1/6b - 5/6.
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Mr. Farley used 4 pounds of hamburger to make 10 hamburger patties of the same size. How many pounds of hamburger did he use per patty?
Answer:
4.0
Step-by-step explanation:
Sndjsjskslsl
Division is one of the four fundamental arithmetic operations. The pounds of hamburgers that Mr. Farley used in each patty is 0.4 pounds per patty.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Mr. Farley used 4 pounds of hamburger to make 10 hamburger patties of the same size. Therefore, the pounds of hamburgers that Mr. Farley used in each patty is,
Pounds of hamburgers in each patty
= Total pounds of hamburger/Number of patty
= 4 pounds / 10 patty
= 0.4 pounds per patty
Hence, the pounds of hamburgers that Mr. Farley used in each patty is 0.4 pounds per patty.
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If a driver uses of a tank of gas every day, what fraction of a tank will he use in a) 3 days? b) 1 week?
Answer:
Step-by-step explanation:
a) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 3 days is 3/1, or 3/1 of a tank.
b) If a driver uses a full tank of gas every day, the fraction of a tank he will use in 1 week is 7/1, or 7/1 of a tank.
It's worth noting that tanks of gas come in different sizes, so the amount of gas consumed in a day, week, or any other period of time will depend on the size of the tank, and the consumption of the car, so this answer is based on the assumption that a full tank is used every day.
11 < 5h - 4 help pleasessssssssssss
Answer:
X > 3
EDIT*
H > 3
Apologies, I've forgotten to change the subtitude.
Step-by-step explanation:
-Solve the inequality
Hope it helps! :)
The Simple interest on $160
for 6 month's at 5% per
annum
Answer:4$
Step-by-step explanation:
a pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. which multipack is the best value for money
Answer:
the 15 multi pack
Step-by-step explanation:
pls help me and answer it correctly:)
Answer:
the biggest frequency is 6
and the least frequency is 4
What is the parallel line and slope of a perpendicular like for 3x+5y=4
Answer:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
It is necessary to
Change your oil every 3000
miles and each oil change.
will cost $19.95
How much is the cost of
4 years of oil changes
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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