Answer:
y = -48
x = 0
Step-by-step explanation:
Tanya bought the least expensive brand of dog food. Which brand did each person buy?
Brand Price per bag
A $12.49
B $11.55
C $12.09
D $11.59
Answer:
B.
Step-by-step explanation:
B is the least expensive
Declan's friend Luka claims that he can read minds. To test Luka's abilities, Declan draws 5 cards without replacement from a standard deck of 52 playing cards. Declan then asks Luka to identify in any order which 5 cards he drew without looking. Assume that Luka has no special abilities and is randomly guessing the cards. What is the probability that Luka correctly identifies all 5 cards in any order? :
Answer:
1/52c5 (b)
Step-by-step explanation:
The probability Luka correctly identifies all 5 cards in any order is \(\frac{1}{^{52}C_{5}}\).
What is probability?"Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen."
We have
The number of favorable outcomes are Luka correctly identifying all 5
5 cards in any order, and this can be done in \(^{5}C_{5}\) ways. This is equal to 1.
∴ The number of favorable outcomes are 1
Luke can identify 5 cards from 52 cards in \(^{52}C_{5}\) ways (because there is no order followed here).
∴ The total number of outcomes are \(^{52}C_{5}\)
Formula for probability of an event happening
= \(\frac{Number of Favorable Outcomes}{Total Number of Favorable Outcomes}\)
So the probability Luka correctly identifies all 5 cards in any order is
= \(\frac{1}{^{52}C_{5}}\)
Hence, the probability Luka correctly identifies all 5 cards in any order is \(\frac{1}{^{52}C_{5}}\).
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What is the determinant of an elementary row replacement matrix?
An elementary n xn row replacement matrix is the same as the n x n identity matrix with__________ of the_____________replaced with some number k.This means this is the ___________and so its determinent is ___________.of its diagnol enteries. Thus, the determinant of an elementary row replacement matrix is______________.
1. Exactly one,atleast one
2. 1's or 0's
3. Identity matrix,invertible matrix, triangular matrix or zero matrix.
4. Product or sum
5. A number
Answer:
Step-by-step explanation:
Recall that an elementary matrix of a matrix operation is obtained by applying the matrix operation to the identity matrix. In this case, by replacement, it means changing the whole row of a matrix and replacing it with a the same row multiplied by a number k.
In this case, the solution is
What is the determinant of an elementary row replacement matrix?
An elementary n xn row replacement matrix is the same as the n x n identity matrix with Exactly one of the 1's replaced with some number k.This means this is the triangular matrix and so its determinent is product of its diagonal entries. Thus, the determinant of an elementary row replacement matrix is a number. Especifically, the number k we used to replace the one
1. Exactly one,atleast one
2. 1's or 0's
3. Identity matrix,invertible matrix, triangular matrix or zero matrix.
4. Product or sum
5. A number
The graph of the function f(x) = (x − 3)(x + 1) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (3, 0).
Which describes all of the values for which the graph is positive and decreasing?
all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Which describes all of the values for which the graph is positive and decreasing?The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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Chrissy is 7 years younger than her brother, Larry. If larry is L years old, write the expression for chrissy's age
need help asap
Answer:L-7=Chrissy's age
Step-by-step explanation:
Her brother is L years old so 7 minus L years equals Chrissy's age
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
Exercise 6
Choose one of the rows from the conversion table in Exercise 5, and use models to prove your answers. (Models could include a 10×10 grid, a tape diagram, a double number line, etc.)
pick 10 x 10 it is the easy one
Step-by-step explanation:
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
Find the interval indicated within the number line below. Then use the drop down menu to select the correct symbols to indicate your answer in interval notation. If a number is not an integer then round it to the nearest hundredth. To indicate positive infinifty ( \infty ) type the three letters "inf". To indicate negative infinity(-\infty ) type "-inf" with no spaces between characters.shaded to negative infinity with open circle at -1, closed circle at 2 and shaded to positive infinity.AnswerAnswer,AnswerAnswerUAnswerAnswer,AnswerAnswer
SOLUTION
The solution to a linear inequality on a number line obtain by following the direction of the arrow in the number line.
\(undefined\)The number line given in the image below
have the interval
\(\begin{gathered} (-\infty,-1)\text{ }\cup\lbrack2,\infty) \\ \end{gathered}\)Hence the interval indicated with the number line is (
It is estimated that only 68% of drivers wear their safety belt. Part A: What is the probability that exactly 3 drivers are wearing their safety belts if a police officer pulls over five drivers at random? (5 points) Part B: What is the probability the next driver wearing their safety belt that the police officer pulls over is the fifth driver? (5 points) (10 points)
Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.
What does the name probability mean?The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
Part A:
The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:
P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²
Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.
P(X = 3) = 10 × 0.68³ × 0.32²
P(X = 3) = 0.267
Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.
Part B:
The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.
Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.
Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.
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I need help with this I'm not sure how to answer?
Given that;
It cost her $10 for every $100;
\(\text{For \$500 it will cost her 5}\times\text{ \$10 = \$50}\)It also cost her a one-time fee of $150.
The total cost for her $500 loan is;
\(\begin{gathered} C=\text{ \$50 + \$150} \\ C=\text{ \$200} \end{gathered}\)Therefore, the total cost for her $500 loan is;
\(\text{\$200}\)in your brains you want a ___ between excitary and inhibitroy signals
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
Since, We know that;
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.
Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.
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Match the later drop-down
1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.
2 The expression 3ˣ⁺¹=3 is matched with graph C.
3) The expression 4ˣ = 3 is matched with graph
4 ) The expression 1ˣ/4 = 3 is matched with graph
What is the explanation for the above?1) The graph of the expression 2⁻ˣ⁺³ = 3 represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).
2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.
3) The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.
4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.
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write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
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Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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last year megan had 63 books in her collection now she has 112 books what is the percentage increase
Answer:
56.25%
Step-by-step explanation:
Divide
63/112 = .5625
Convert to a percentage
56.25%
solve ((-3) x (10 + (-7))) to the power of 2 /n3 - (-9) to the power of 2)
The solution of the given expression will be 9/16.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²
[-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²
= 9/16
Hence, The solution of the given expression will be 9/16.
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i will privetely give 50 point to anyone who solves this correctly
Ms. White invests
$
2000
in a savings plan. The savings account pays an annual interest rate of
5.75
%
on the amount she puts in at the end of each year. How much will be in her savings plan at the end of
10
years?
Answer:
$3498.11 at the end of 10 years.
Step-by-step explanation:
2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.
Find the mean of the following data set: 8.9, 7.2, 3.3, 2.5, 9.4, 3.9, 4.5, 5.4, 8.9
9. The endpoints of a diameter of a circle are A (2,1) and B(5,5). Find the area of the circle in terms of . (1 point)
25
O
IT square units
O 10 square units
O 255 square units
O 57 square units
Answer:
Area of the circle is 6.25π sq.unit
Step-by-step explanation:
The centre of the circle is at the mid point of a diameter. Th mid point of the diameter is at (5+22,5+12)or(72,3),which is centre. Radius is the distance from end point (5,5)to centre (72,3)∴r=√(5−72)2+(5−3)2=√1.52+4=√6.25=2.5∴
Area of the circle is Ac=π⋅r2=π⋅2.52=6.25π sq.unit[Ans]
The Area of Circle whose endpoints of a diameter of a circle are A (2,1) and B(5,5) is 6.25 sq unit.
What is Distance Formula?If there are two points in the coordinates plane as P(a, b) and Q(c, d) then the distance between these two points are
PQ = √(c- a)² + (d-b)²
We have the endpoints of a diameter of a circle are A (2,1) and B(5,5).
Now, using Distance Formula
d= √{(x2 - x1)² + (y2 - y1)²}
Here, x1 = 2; y1 = 1; x2 = 5; y2 = 5
d = √{(5 - 2)² + (5 - 1)²}
d = √{(3)² + (4)²}
d = √{9 + 16}
d = √25
d = 5 unit
Now, Area of Circle
= πr²
= 3.14 x 2.5 x 2.5
= 6.25π sq units
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ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Please hellp I’m really confused
Answer:
Start at the origin and plot the points.
Step-by-step explanation:
For A, start at the origin and then go 4 units to the left.
For B, start at the origin and then go 4 units up.
For D, start at the origin and then go 4 units to the right.
For C, start at the origin and then go 4 units down.
Answer:
Here you go
Step-by-step explanation:
the image should help
A construction worker needs to move 120 ft squared (3) of dirt by using a wheelbarrow. One
wheelbarrow load holds 8 ft squared(3) of dirt and each load takes him 10 minutes to complete
. One
correct way to figure out the number of hours he would need to complete this job is
Answer:
it would take him 1.5 hours (an hour and 30min.)
Step-by-step explanation:
120 divided by 8 = 15
15 divided by 10 = 1.5
The number of hours he would need to complete this job is 2.5 hours.
What is PEDMAS rule?"PEDMAS is an order of operation used in mathematics to deal easily with complex calculations. It states that we start solving any arithmetic expression by solving the terms written in parentheses or brackets and then we simplify exponential terms and move ahead to division and multiplication operations and then, at last, we can find the answer by solving addition and subtraction operations."
According to the question
A construction worker needs to move 120 feet squared (3) of dirt by using a wheelbarrow.
One wheelbarrow load holds 8 feet squared(3) of dirt and each load takes him 10 minutes to complete.
Writing the above statement in mathematical form
= (120 ÷ 8) × 10
By using PEDMAS rule, we get
= 15 × 10
= 150 mins
= 150 ÷ 60
= 2.5 hours
Thus, the number of hours he would need to complete this job is 2.5 hours.
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PLS HELP DUE TODAY 11:59
Use the two images of the houses to answer the following questions. Number your answers.
1. Are the lengths of one house proportional to the lengths of the other house? Why or why not?
2. How can you use scale factors to show that the homes are or are not proportional?
3.what role does surface area take in the building of a house
4.what advantages exist for a house with a large amount of surface area exposed to the elements? EXPLAIN
The lengths of one house is not proportional to the lengths of the other house because the structure of the houses are not the same.
How to depict the information?The scale factors can be used to show that the homes are or are not proportional. This can show that the first house doesn't have chimney and rtw second one has.
The role of the surface area take in the building of a house is that it tells us about the sum of its total area covered by the four walls.
The advantage that exist for a house with a large amount of surface area is that it gives more stability.
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If m∠EFG=(3x+11)∘, and m∠GCE=(5x−23)∘, what are the measures of the central and circumscribed angles?
Responses:
m∠EFG=86∘, m∠GCE=94∘
m∠EFG=83∘, m∠GCE=97∘
m∠EFG=79∘, m∠GCE=101∘
m∠EFG=150.5∘, m∠GCE=209.5∘
The measures of the central and circumscribed angles are :
m ∠EFG=83∘, m ∠GCE=97∘
The correct option is (b)
There are two tangents on the circle C at the point E and G.
m ∠EFG=(3x+11)∘, and m ∠GCE=(5x−23)∘
Now, We have to find the measures of the central and circumscribed angles.
The line joining the center of circle to the point on circle on which there is a tangent, make an angle of 90° with the tangent itself.
∠CGF = ∠CEF = 90° ( G and F are the points on circle's tangent drawn from point F.)
Now, we can see that CGFE is a quadrilateral.
And sum of all internal angles of a quadrilateral is equal to 360°
∠C + ∠G + ∠F + ∠E = 360°
(5x - 23) + 90 + 3x + 11 + 90 = 360
=> 8x - 12 + 180 = 360
8x - 12 = 360 - 180
8x = 180 + 12
=> x = 24°
m ∠EFG = (3x + 11)°
m ∠EFG = (3× 24 + 11)° = 83°
m ∠GCE=(5x−23)∘
m ∠GCE = (5 × 24 −23)∘
m ∠GCE = 97°
The correct option is (b)
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For complete question , to see the attachment.
Anne owns an art supply store. Anne is analyzing the store's expenses and income because she wants to increase the store's profits. The expenses include renting 1,250 square feet of space for $13,750 per month. The store has only one employee, who is paid $8.00 per hour plus 8% commission. Much of the
store's income comes from the sales of blank painting canvases and frames. The table shows the prices of the canvases and frames sold at the store.
A 9-pound bag of apples costs $8.28. What is the unit price?
Answer:
.92
Step-by-step explanation:
Answer:
0.92
Step-by-step explanation:
Divide the price of certain number of units of an item by the number of units to find the unit price of that item.
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 5.5 inches and a height of 3 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
51.8 in2
99.3 in2
595.8 in2
794.4 in2
The minimum amount of plastic wrap needed to completely wrap 8 containers is 794. 4 in². Option D
What is the minimum amount?The area of each circular end is:
A = πr²
A = 3.14 × (2.75)²
A = 23.68in²
The area of the rectangular side is:
A = h * circumference
circumference = 5.5in * π
circumference = 17.27in
Using the given height of 3 inches, we get:
A = 3in * 17.27
A = 51.81in²
Therefore, the total surface area of each container is:
A = 2 * 23.68 + 51.81
A = 98.17in²
To wrap 8 containers, we need to multiply the surface area of each container by 8:
Total surface area = 8 × 98.17
Total surface area = 794. 4 in²
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Which of the following is equivalent to the expression?
3(2x-1)+2(x+4)
8x+7
8x+3
8x+1
8x+5
Answer:
D) 8x+5
Step-by-step explanation:
3(2x-1)+2(x+4)
6x-3+2x+8
6x+2x-3+8
8x-3+8
8x+5
A cross-country course is in the shape of a parallelogram with a base of length 3 mi and a side of length 2 mi. What is the total length of the cross-country course.
Based on the fact that the cross-country course is shaped like a parallelogram, the total length of the cross-country course is 10 miles.
What is the total length?The total length of the cross-country course will be the perimeter of the shape that the course is shaped like.
As this course is shaped like a parallelogram, the total length would therefore be:
= Base + Base + Length + Length
Solving gives:
= 3 + 3 + 2 + 2
= 6 miles
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