Answer:
I think it would be 8
Step-by-step explanation:
At a restaurant, 8 plates are accidentally broken each day for a week (7 days). What number represents the change in the number of plates the restaurant has?
When Emily arrived home froin school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog
doing her chores. Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finished
Answer: she has been home 68 mins so one hour and 8 mins
Answer:
1 hour and 40 minutes.
Step-by-step explanation: Just add them all up and then convert them into hours and minutes.
10. What is the exponent in this equation: 5*(x-2) = 125 *
O
Х
Ox-2
O 5
O 125
Answer:
x-2
Step-by-step explanation:
Compare the values of the digit 8 in the number 6,084 and in the number 9,821
Answer:
Step-by-step explanation:
The eight in 6,084 is in the tenths place. Separately, it would be 80. The 8 in 9,821 is in the hundredths place. This one is worth 800. So the 8 in 9,821 is greater than the 8 in 6,084.
8 deliveries in 2 hours = deliveries in 4 hours
Answer:
16
Step-by-step explanation:
talkalot corp. incurs a cost of $350 to produce one unit of a cell phone. the company’s management has priced the product at $600 in the market. considering the technological advancement of the cell phone, customers perceive its value to be around $800. what is the economic value created in this scenario?
Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.
We can solve this by,
Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.
Product: The item that is produced, processed, or delivered for sale is known as a product.
Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,
Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.
As per the scenario, the value created is:
The value created = Perceived value - Cost Value created
= $800 - $350
The value created = $450
Therefore, the economic value created in this scenario is $450.
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A car covers a distance of 132 km. If each tire’s diameter is 42 cm, how many rotations does each tire make in covering this distance?
Answer:
Step-by-step explanation:
Diameter (D)= 42cm
Circumference = (pie)D= (22/7)*D=(22/7)*42 = 132cm
1 circumference = 1 revolution
1 revolution = 132cm = 1.32m
for covering 5.28km no. of revolution = 5.28*1000/1.32 = 4000
Hope this answer helps you :)
Have a great day
Mark brainliest
6-3x=2x-4
explain why it’s a one solution problem
Step-by-step explanation:
notice how there is a variable. that is the reason. since there is an variable and we solve for it thats why it will lead us to 1 solution.
which of the following is not needed to determine the minimum sample size required to estimate a population proportion?
a. Standard Deviation
b. Margin of Error
c. α
d. z α/2
Answer:
Step-by-step explanation:
margin of error
Solve the quadratic equations by factoring.
1. 5x^2 = 3x + 2
2. x^2 - 4x + 3 = 0
Help on these two problems above would be very appreciated, thanks!
Solving by factoring in steps shown below
Question 15x² = 3x + 25x² - 3x - 2 = 05x² - 5x + 2x - 2 = 05x(x - 1) + 2(x - 1) = 0(5x + 2)(x - 1) = 05x + 2 = 0 and x - 1 = 05x = - 2 and x = 1x = - 2/5 and x = 1Question 2x² - 4x + 3 = 0x² - x - 3x + 3 = 0x(x - 1) - 3(x - 1) = 0(x - 3)(x - 1) = 0x - 3 = 0 and x - 1 = 0x = 3 and x = 1Answer:
\(\textsf{1. \quad $x=1, \quad x=-\dfrac{2}{5}$}\)
\(\textsf{2. \quad $x=1, \quad x=3$}\)
Step-by-step explanation:
Solving quadratic equations by factoring
To factor a quadratic in the form \(ax^2+bx+c\) , find two numbers that multiply to \(ac\) and sum to \(b\), and rewrite \(b\) as the sum of these two numbers.Factor the first two terms and the last two terms separately.Factor out the common term.Solve for x by applying the zero-product property.Question 1Given equation:
\(5x^2=3x+2\)
Subtract (3x + 2) from both sides:
\(\implies 5x^2-(3x+2)=3x+2-(3x+2)\)
\(\implies 5x^2-3x-2=0\)
Find two numbers that multiply to \(ac\) and sum to \(b\), and rewrite \(b\) as the sum of these two numbers:
\(\implies ac=5 \cdot -2=-10\)
\(\implies b=-3\)
Therefore, the two numbers are -5 and 2.
Rewrite \(b\) as the sum of the two numbers:
\(\implies 5x^2-5x+2x-2=0\)
Factor the first two terms and the last two terms separately:
\(\implies 5x(x-1)+2(x-1)=0\)
Factor out the common term (x - 1):
\(\implies (5x+2)(x-1)=0\)
Apply the zero-product property:
\(\implies 5x+2=0 \implies x=-\dfrac{2}{5}\)
\(\implies x-1=0 \implies x=1\)
Therefore, the solutions are:
\(\boxed{x=1, \quad x=-\dfrac{2}{5}}\)
Question 2Given equation:
\(\implies x^2-4x+3=0\)
Find two numbers that multiply to \(ac\) and sum to \(b\), and rewrite \(b\) as the sum of these two numbers:
\(\implies ac=1 \cdot 3=3\)
\(\implies b=-4\)
Therefore, the two numbers are -3 and -1.
Rewrite \(b\) as the sum of the two numbers:
\(\implies x^2-3x-x+3=0\)
Factor the first two terms and the last two terms separately:
\(\implies x(x-3)-1(x-3)=0\)
Factor out the common term (x - 3):
\(\implies (x-1)(x-3)=0\)
Apply the zero-product property:
\(\implies x-1=0 \implies x=1\)
\(\implies x-3=0 \implies x=3\)
Therefore, the solutions are:
\(\boxed{x=1, \quad x=3}\)
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPP
How does the average rate of change of the function change across the interval
0 ≤ x ≤ 20?
GIVING BRAINLIEST, FIVE STARS, THANKS
Using the graph, it is found that the average rate of change of the function over the interval 0 ≤ x ≤ 20 is of 1.
What is the average rate of change?The average rate of change of a function f(x) over an interval [a,b] is given by:
\(A = \frac{f(b) - f(a)}{b - a}\)
In the interval for this problem, we have that:
\(a = 0, b = 20\).From the graph, \(f(0) = 4, f(20) = 24\).Hence:
\(A = \frac{24 - 4}{20 - 0} = 1\)
The average rate of change of the function over the interval 0 ≤ x ≤ 20 is of 1.
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Under an enlargement transformation point A(1,-4)is mapped onto A¹(2,5)with scale factor 3 find the center of enlargement
Answer:
(1/2, -8 1/2)
Step-by-step explanation:
The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...
(A' -C) = 3(A -C)
__
Solving for C gives ...
A' -C = 3A -3C
2C = 3A -A' . . . . . . . add 3C-A'
C = (3A -A')/2
Filling in the given coordinates for A and A', we find the center of enlargement to be ...
C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2
C = (1/2, -8 1/2)
The center of enlargement is (1/2, -8 1/2).
Help i dont understand this
Answer:
b
Step-by-step explanation:
A model rocket is launched with an initial upward velocity 39M/S. The rockets height H (in meters) after t seconds is given by the following. h=39t-5t2Find all values for which the rockets height is 22 meters.
Given:
\(h=39t-5t^2\)It is given that h=22m,
\(22=39t-5t^2\)\(5t^2-39t+22=0\)\(t=\frac{39\pm\sqrt[]{39^2-4(5)(22)}}{2(5)}\)\(t=\frac{39\pm\sqrt[]{1521-440}}{10}\)\(t=\frac{39\pm\sqrt[]{1081}}{10}\)\(t=\frac{39\pm32.88}{10}\)\(t=\frac{39+32.88}{10},\frac{39-32.88}{10}\)\(t=\frac{71.88}{10},\frac{6.12}{10}\)\(t=7.188,0.612\)The values for the rockets height is 22m are 0.61 seconds and 7.19 seconds.
How many solutions does the system have?
You can use the interactive graph below to find the answer.
y = 3x + 2
y = 3x – 6
Answer:
No solution
Step-by-step explanation:
Answer:
no solutions
Step-by-step explanation:
The angles of a triangle are
(3x - 17), (x + 40) and
(2x – 5)
Find the value of x
Answer:
x=27
Step-by-step explanation:
Answer:
x=27
Step-by-step explanation:
3x-17+x+40+2x-5=180
6x+18=180
6x=162
divide by 6 each side
x=27
if a number is chosen at random from the interval (0,1) what is the probability that the first digit is a 6 and the second is a 4
the probability of choosing a number with a first digit of 6 and a second digit of 4 from the interval (0,1) is 1/90, which is approximately 0.011 or 1.1%.
The probability of choosing a number with a first digit of 6 and a second digit of 4 from the interval (0,1) can be calculated using the concept of uniform distribution.
Since the interval (0,1) contains an infinite number of possible outcomes, we can think of the probability of selecting a number with a first digit of 6 and a second digit of 4 as the ratio of the number of outcomes that satisfy this condition to the total number of possible outcomes.
The first digit of a number between 0 and 1 can be any of the digits 1 to 9, with equal probability. Therefore, the probability of selecting a number with a first digit of 6 is 1/9.
Similarly, the second digit of a number between 0 and 1 can also be any of the digits 0 to 9, with equal probability. Therefore, the probability of selecting a number with a second digit of 4 is 1/10.
Since the selection of the first digit and the second digit are independent events, we can calculate the joint probability of selecting a number with a first digit of 6 and a second digit of 4 by multiplying the individual probabilities:
P(First digit is 6 and second digit is 4) = P(First digit is 6) x P(Second digit is 4)
P(First digit is 6 and second digit is 4) = (1/9) x (1/10)
P(First digit is 6 and second digit is 4) = 1/90
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What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2
Answer: The only force on it is its weight, w=9800N
Step-by-step explanation:
C is the centroid of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent?
It is given that triangle ABD is isosceles, so segment AB is congruent to DB by the definition of isosceles triangle.
Triangles ABE and DBE share side BE, so it is congruent to itself by the reflexive property.
It is given that C is the centroid of triangle ABD, so segment BE is a perpendicular bisector.
E is a midpoint, creating congruent segments AE and DE, by the definition of midpoint.
Triangles ABE and DBE are congruent by the SSS Postulate.
Triangle ABD with segments BC, DC, and AC drawn from each vertex and meeting at point C inside triangle ABD, segment BC is extended past C with dashed lines so that it intersects with side AD at point E.
There is an error in line 1; segments AB and BC are congruent.
There is an error in line 2; segment BE is not a shared side.
There is an error in line 3; segment BE should be a median.
The proof is correct
The proof does correctly justify that triangles ABE and DBE are congruent. The correct answer is the fourth option.
As we know that an isosceles triangle is one having two sides of the same length. The third side of an isosceles triangle that is not identical to the other two sides is referred to as the base. The two angles opposite the equal sides are the same.
AB and BD are congruent since triangle ABD is isosceles.
AB = BD
Here, C is the circumcenter.
Segment BE is a perpendicular bisector. However, the correct statement should be that segment BE is a median since C is the centroid.
So, BE bisect ∠ABD and AE = ED
So, BE ⊥ AD
Because BE = BE, and AB = BD
So, ΔABE ≅ ΔDBE
Thus, the proof is correct.
Hence, the correct answer is the fourth option.
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the last digit of the heights of statistics students were obtained as part of an experiment conducted for a class. use the following frequency distribution to construct a histogram. what can be concluded from the distribution of the digits? specifically, do the heights appear to be reported or actually measured?
The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.
Frequency Distribution:
Digit Frequency
0 3
1 5
2 9
3 5
4 3
5 4
6 4
7 4
8 2
9 1
From the distribution of the digits, it appears that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements.
The frequency distribution of the digits indicates that the heights were reported rather than actually measured. This is because the frequency of the digits is not evenly distributed, which would be expected for a set of actual measurements. For example, the frequency of the digit '2' is more than twice as high as the frequency of the digits '1' and '3', which is not likely to occur in a set of actual measurements.
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please answer with steps
question down below
Answer:
(5k-4)+2=46
(5k-4)+2-2=46-2
5k-4=44
5k-4+4=44+4
5k=48
5k/5=48/5
k=9.6
HELP PLEASE 23 POINTS!!
The number of hours spent studying each week for 9 week is shown.
5, 8.5, 11, 13, 5.5, 9, 2, 4, 6.5
What is the value of the range for this set of data?
Answer:
Range = Highest number -Lowest number
= 13-2=11
Answer:
11
Step-by-step explanation:
Highest number = 13
Lowest number = 2
Range = highest number - lowest number
Range = 13 - 2 = 11
A bank loaned Peggy Chalmers $3,000 at 13. 5% ordinary interest for 90 days. Find the amount of interest she owed on the loan
The loan's interest cost Peggy $101.25.
We can use the simple interest formula to determine the total amount of interest Peggy owed on the loan:
Interest = Principal x Rate x Time
Where:
Interest: This is the sum of money that was received or that was owed as a result of borrowing or lending money.
Principal: The initial sum of money borrowed or invested is meant by this.
Rate: This is the decimal representation of the annual interest rate.
Time: This refers to the period of time that the funds are borrowed or invested.
Principal = $3,000
Rate = 13.5% per year, or 0.135 as a decimal
Time = 90 days, or 0.25 years (since 90/365 = 0.2466, which, for simplicity, we round up to 0.25)
When these values are added to the formula, we get:
Interest = $3,000 x 0.135 x 0.25
Interest = $101.25
Therefore, The loan's interest cost Peggy $101.25.
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Which line is parallel to the line Y = X +7?
A. X-y=5
B. X+y=-2
C. Y=1
D. X=1
Answer:
a
Step-by-step explanation:
y=1 has a slope of 0,
x=1 has an indefinite slope,
x+y has a negative slope, so
x-y would be the only oneeft
how to prove the median of a trapezoid is parallel to the bases and equal in length to the average of their lengths?
The median of a trapezoid is parallel to the bases and equal in length to the average of their lengths. This is due to the midpoint theorem and the definition of the average.
The median of a trapezoid is a line segment that connects the midpoints of the non-parallel sides of the trapezoid. By the definition of a trapezoid, the two parallel sides (the bases) are of equal length.To prove that the median of a trapezoid is parallel to the bases and equal in length to the average of their lengths, we will make use of the midpoint theorem and the definition of the average.First, let's look at the midpoint theorem: If two points are the midpoints of two sides of a trapezoid, then the line connecting them is parallel to the bases. Now, let's look at the definition of the average: The average of two numbers is equal to the sum of the numbers divided by two.Now, let's apply these two concepts to the median of a trapezoid. As stated above, the median of a trapezoid connects the midpoints of the non-parallel sides of the trapezoid. By the midpoint theorem, the line connecting the midpoints of the non-parallel sides of the trapezoid is parallel to the bases. Next, we need to prove that the median of a trapezoid is equal in length to the average of the lengths of the bases. We can do this by noting that the length of the median of a trapezoid is equal to the sum of the lengths of the bases divided by two. This is because the median line segment connects the midpoints of the bases, so the length of the median is equal to half the sum of the lengths of the bases.Therefore, we can conclude that the median of a trapezoid is parallel to the bases and equal in length to the average of their lengths.Learn more about median here
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f(x) = x2. What is g(x)?
Answer:
Step-by-step explanation:
C
The following two-way table shows the data for the students of two different grades in a school: Member of Science Club Not Member of Science Club Total Grade 7 20 2 22 Grade 8 20 8 28 Total 40 10 50 Based on the relative row frequency, the students of which grade are more likely to be members of the science club? (5 points) Grade 7 Grade 8 The students of both grades are equally likely to be members of the science club No conclusion can be drawn about the chances of a student being a member of the science club
Answer:
Grade 7
Step-by-step explanation:
Consider a vector field F = (xy, x^2y^3). Use the Green's Theorem to find the line integral Sc Fudi where a positively oriented curve C is the triangle with vertices (0,0),(1,0) and (1,2). (20pts)
Previous question
The line integral along the boundary of the triangle C is 32/15.
To apply Green's , we need to find the curl of the vector field F:
∂F₂/∂x - ∂F₁/∂y = (2xy³) - (y)
The boundary of the triangle C, which consists of three-line segments:
C₁: From (0,0) to (1,0)
C₂: From (1,0) to (1,2)
C₃: From (1,2) to (0,0)
Using the parametric equations for each line segment, we can express the line integral as:
∫C F · dr = ∫∫R (∂F₂/∂x - ∂F₁/∂y) dA
R is the region enclosed by C.
Since R is a triangle with vertices (0,0), (1,0), and (1,2), we can use a double integral to compute the area of R:
∫∫R dA = \(\int_0^1 \int_0^{y_2} dx dy\) = 1/2
Now we can apply Green's Theorem:
∫C F · dr = ∫∫R (∂F₂/∂x - ∂F₁/∂y) dA
= ∫∫R (2xy³ - y) dA
= \(\int_0^1 \int_0^{y_2} (2xy^3 - y) dx dy\)
= \(\int_0^2 (4/5)y^5 - (1/2)y^2 dy\)
= 32/15
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The nurse records the age, in years, and the height, in inches, of several girls in the middle school. She records them as ordered pairs. (age, height): (11, 62), (12, 64), (13, 65), (13, 60) and (14, 65). Is the relation a function? Explain
The given relation is not a function.
According to the question,
We have the following information:
The nurse records the age, in years, and the height, in inches, of several girls in the middle school. She records them as ordered pairs. (age, height): (11, 62), (12, 64), (13, 65), (13, 60) and (14, 65).
Now, we know that for every relation to be termed as a function, each element must have a unique image.
In this case, 13 has two images 65 and 60 which does not make each image unique.
Hence, the given relation for the ordered pairs is not a function.
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Answer the question faster! I only have 5 mins left!
The net of the pyramid is attached and the surface area of the triangular based prism is 54 ft²
The net of the pyramidThe shape is given as
A triangular based prism
This means that the net would have 2 triangles and 3 rectangles
See attachment for the net of the prism
How to determine the surface areaThe surface area of a triangular based prism is calculated as
Area = (Perimeter of triangle) * Length + 2 * Base area
Substitute the known values in the above equation, so, we have the following representation
Area = (3 + 2 1/2 + 2 1/2) * 6 + 2 * 0.5 * 2 * 3
Evaluate
Area = 54
Hence, the surface area is 54 ft²
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