The time derivative dp(t)/dt of the x component of the system's total momentum is m₁a₁(t)+m₂a₂(t).
A moving body's motion is measured by its momentum, which is the product of its mass and velocity. The formula for momentum is p=mv. Here, p is momentum, m is mass (in kg), and v is the velocity (m/s).
This equation with respect to time is written as dp(t)/dt. Then, momentum for block 1 is written as,
[tex]\begin{aligned}\frac{dp_1(t)}{dt}&=\frac{d(m_1v_1(t))}{dt}\\&=m_1\frac{dv_1(t)}{dt}\\&=m_1a_1(t)\end{aligned}[/tex]
The momentum for block 2 is written as,
[tex]\begin{aligned}\frac{dp_2(t)}{dt}&=\frac{d(m_2v_2(t))}{dt}\\&=m_2\frac{dv_2(t)}{dt}\\&=m_2a_2(t)\end{aligned}[/tex]
In both equations, the value dv/dt=a with respect to time.
Then, the total momentum is,
[tex]\begin{aligned}\frac{dp(t)}{dt}&=\frac{dp_1(t)}{dt}+\frac{dp_2(t)}{dt}\\&=m_1a_1(t)+m_2a_2(t)\end{aligned}[/tex]
Therefore, the value is m₁a₁(t)+m₂a₂(t).
The complete question is -
In this problem, you will analyze a system composed of two blocks, 1 and 2, of respective masses m1 and m2. To simplify the analysis, we will make several assumptions:
The blocks can move in only one dimension, namely, along the x-axis.The masses of the blocks remain constant.The system is closed.At time t, the x components of the velocity and the acceleration of block 1 are denoted by v1(t) and a1(t). Similarly, the x components of the velocity and acceleration of block 2 are denoted by v2(t)and a2(t). In this problem, you will show that the total momentum of the system is not changed by the presence of internal forces.
Part B
Find the time derivative dp(t)/dt of the x component of the system's total momentum.
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Please solve this question with proper explanation to this,
thank you
The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.
How do we calculate average?An average is now a single number that is selected to represent a collection of numbers; it is frequently the sum of the numbers divided by the total number of numbers in the collection.Average When calculating the arithmetic mean, a set of numbers is added, their count is divided, and the result is then taken.The median or mode of a statistic, for example, could also be considered an average depending on the circumstance. Since the mean would be artificially inflated if it included the personal incomes of a few billionaires, the median is frequently used to represent the average personal income.The median is the value at or above which half of all personal incomes fall and half of all personal incomes rise.To learn more about average refer :
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It cost $255 for 30 students to see the musical. How much will it cost 85 students to see the
play? Write and solve a proportion to answer the question.
Answer:
$722.5
Step-by-step explanation:
Since $225 is 30 students we can do 85/30 and multiply 225 by that.
For the proportion, it would be: 255/30=x/85
85/30=2.8 1/3
2.8 1/3*255=722.5
So it would be $722.5 for 85 students
Answer:
$722.5
Step-by-step explanation:
$255/ 30= 8.5
8.5* 85= $722.5
The first two terms of an arithmetic sequence are shown below.
1
2
x+3' x +4
.
4
Find the third term of this sequence.
Give your answer fully factorised.
The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....
Given that,
The first two terms of an arithmetic sequence are given that is
1/x+3, 2/x+4,....
We have to find the third term of this sequence.
We know that,
What is an arithmetic sequence?The arithmetic sequence is the set of terms where the common difference between any two succeeding terms is always the same. Recall the definition of a sequence. A group of integers that follow a pattern is referred to as a sequence.
There are two ways of defining an arithmetic sequence. A "sequence where the differences between each pair of succeeding terms are the same" is what it is. Alternatively, "each term in an arithmetic sequence is obtained by adding a fixed number (positive, negative, or zero) to its preceding term."
The sequence has
n/x+(n+2)
Take n=1 is 1/x+3
Take n=2 is 2/x+4
Take n=3 is 3/x+5
Therefore, The third term of the sequence is 3/x+5 when the arithmetic sequence is 1/x+3, 2/x+4,....
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Write the equation of the line that passes through the points (4, -8) and (7,-8) fully reduced PLEASE HELP
The equation of the line that passes through the points (4, -8) and (7,-8) is 5.33x + y = 13.22.
What is 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) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given two points,
(x1 = 4 ,y1 = -8) and (x2 = 7, y2 = -8)
The equation's general form will be written first:
y = mx + c
We may compute the slope of the equation (m) as follows:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{-8-8}{7-4}[/tex]
m = -16/3
m = -5.33
equation is y = -5.33x + c.
By entering the values of the x and y coordinates, we can now determine the value of the y-intercept (c):
For the point (4,-8),
-8 = -5.33(4) + c
-8 = -21.32 + c
c = 13.32
So the equation become ;
y = -5.33x + 13.32
or, 5.33x + y = 13.22
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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
7.9
Step-by-step explanation:
Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.
Need help ASAP
2^7x2^-2 +2^9/2^4 +2^3/2^-2
Show that C = a×2^b where a and b are two integers to be determined
The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14
What are laws of exponents?
Laws which are used to solve the problems including the exponents are called laws of exponents
Solution:
As we can clearly see in whole expression 2 is present in every term
By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b
When we solve this expression we get
this expression equal to 2^15
which we can write 2×2^14
hence on comparing we get a = 2 and b = 14
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Need help with geometry please !
Answer:
90°
Step-by-step explanation:
Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:
x+2x+3x+4x+5x+7x+8x+10x=360
40x=360
x=9
10x° is the largest exterior angle and x=9, so 10x°=90°
Hope this helps :)
if the mean and mode are 15 and 10, respectively, then determine the potential range of the median for a positively skewed distribution
The median will be greater than 10 and less than 15.
Given,
The mean of the skewed distribution = 15
The mode of the skewed distribution = 10
We have to find the potential range of the median for a positively skewed distribution;
Here,
The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.
Therefore,
The median will be higher than 10 and lower than 15.
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A construction company in Florida is struggling to sell condominiums. The company believes that it will be able to get an average sale price of $210,000. Let the price of these condominiums in the next quarter be normally distributed with a standard deviation of $15,000. [You may find it useful to reference the z table.]a. What is the probability that the condominium will sell at a price (i) below $200,000? (ii) above $240,000? (Round your final answers to 4 decimal places.)b. The company is also trying to sell an artist’s condo. Potential buyers will find the unusual features of this condo either pleasing or objectionable. The manager expects the average sale price of this condo to be the same as others at $210,000, but with a higher standard deviation of $20,000. What is the probability that this condo will sell at a price (i) Below $200,000? (ii) Above $240,000? (Round your answers to 4 decimal places.)
At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.
From the given question;
Let the average sale price(μ)=210,000
Standard Deviation(σ)=$15,000
(a) We have to find the probability that the condominium will sell at a price.
(i) below $200,000, i.e. P(x<200,000)
Z=(x−μ)/σ
Z=(200,000−210,000)/15,000
Z= −10,000/15000
Z= −0.67
Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.
P(Z<−0.67) = 0.2525
(ii) above $240,000, i.e. P(x>240,000)
Z=(x−μ)/σ
Z=(240,000−210,000)/15,000
Z= 30,000/15000
Z= 2
Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.
P(Z>240,000)=P(Z>2)
P(Z>240,000)=1−P(Z<2)
P(z>240,000)=1−0.98
P(z>240,000)=0.02
(b) Now the average sale price(μ)=210,000
Standard Deviation(σ)=$20,000
We have to find the probability that the condominium will sell at a price.
(i) below $200,000, i.e. P(x<200,000)
Z=(x−μ)/σ
Z=(200,000−210,000)/20,000
Z= −10,000/20000
Z= −0.5
Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.
P(Z<−0.5) = 0.2085
(ii) above $240,000, i.e. P(x>240,000)
Z=(x−μ)/σ
Z=(240,000−210,000)/20,000
Z= 30,000/20000
Z= 1.5
Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.
P(Z>240,000)=P(Z>1.5)
P(Z>240,000)=1−P(Z<1.5)
P(z>240,000)=1−0.93319
P(z>240,000)=0.0668
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a penny is thrown from the top of a 52.6-meter building and hits the ground 3.31 seconds after it was thrown. the penny reached its maximum height above the ground 0.85 seconds after it was thrown. define a quadratic function, h , that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
The quadratic function which models the motion of the penny is
h(t) = -4.9t² -0.327761 t + 52.6
and the maximum height reached is 57.43
h(t) = - 0.5gt² + vt + h
g = 9.8 m/s²
h = 52.6 m
v = ?
For v,
h(t) = -0.5gt² + vt + 52.6
h(t) = - 4.9t² + vt + 52.6
Time when penny hits the ground ; t = 3.31
h(3.31) = 0
0 = -4.9(3.31)² + v(3.31) + 52.6
0 = -53.68489 + 3.31v +52.6
3.31v = -1.08489
v = -1.08489/3.31
v = -0.327761 m/s
Therefore,
h(t) = -4.9t² -0.327761 t + 52.6
2.) Maximum height of the penny above the ground
t = 0.85 seconds
h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6
Maximum height reached = 57.43 meters
Therefore, the maximum height reached is 57.43 meters.
An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.
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8
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales. She worked 40 hours last week and sold 36,000 in cars. What
was Rachel's total income last week?
Type your answer...
I need the answers
Rachel's total income is $13320.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.
Commission = 9 x 0.04 = $0.36
Commission on 36000 cars = $12960
By working 40 hours he earn = 9 x 40 = $360
Hence, the total income = 360+ 12960 = $13320
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what is the ratio of cups to flour to eggs
Answer:
Step-by-step explanation:
Answer= use 2 eggs per 1 cup of flour to make 1 serving.
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x)=1.2²-600x+82,738. What is the minimum unit cost?
Do not round your answer.
The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
What is meant by unit cost?A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.
A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.
Given,
C(x)=1.2x²-600x+82,738
Minimum value [tex]C_{min}[/tex]=c-(b²/4a)
Where a=1.2, b=-600, c=82738
[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))
=82738-(360000/4.8)
=7738
Therefore, the minimum unit cost is 7738.
Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
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Given the following Venn diagram:
Find M N.
From the given Venn diagram, the value of M∩N={4,7}.
What is a Venn diagram?A Venn diagram is a prominent diagram type that depicts the logical relationship between sets. It was popularized in the 1880s by John Venn (1834-1923). The diagrams are used to teach elementary set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. To depict sets, a Venn diagram uses basic closed curves drawn on a plane. These curves are almost often circles or ellipses.
Before Venn, similar concepts had been presented. Similar ideas were proposed by Christian Weise in 1712 and Leonhard Euler (Letters to a German Princess) in 1768. Venn popularized the concept in Symbolic Logic, Chapter V "Diagrammatic Representation," 1881.
The intersection of two sets is the set of all the elements that are shared by both.
M={4,7,9,3}
N={4,7,6}
Because M and N share the numbers 4 and 7, M∩N={4,7}.
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Identify the sampling technique used in the given scenario. The English department is interested in overall performance in its entry-level 101 course. The department chair selects every tenth student's final grade from a list of all students enrolled in the course and calculates the average final grade.
The sampling technique used in the given scenario is Systematic sampling technique.
Systematic sampling technique
Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.
Types of Systematic sampling technique
A systematic sample can be generated in three ways:
Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.
Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.
Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.
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If the lowest price in the past year occurred 35 days ago, find the approximate average change per day since then. a. $2.08 b. $2.64 c. $0.90 d. $2.99
The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.
How to find the approximate average change?The approximate average change can be found by the formula :
= ( Current price of stock - Lowest price ) / Number of days since lowest price
Current price of Dagofi Radar stock = $ 130. 58 closing price
Lowest price = $ 57. 71
The approximate average change is:
= ( 130. 58 - 57. 71) / 35
= 72. 87 / 35
= $ 2.08
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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.
52 wk High
52 wk Low
Symbol
Div.
Close
Net Change
162.22
57.71
DFR
9.75
130.58
-2.64
A hall can accommodate 600 chairs arranged in rows Each row has the same number of chairs The chairs are rearranged such that the number of row is increased by 5 but the number of chairs per row is decreased by 6 a) Find the original number of rows of chairs in the hall b) After the re-arrangement 450 people were seated in the hall leaving the same number of empty chairs in each row. Calculate the number of empty chairs per row.
The 600 chairs capacity of the hall and the arrangement such that an increase in the number of rows by 5 decreases the number of chairs per row by 6 is a word problem that indicates;
(a) There are originally 20 rows of chairs in the hall
(b) The number of empty chairs per row is 6 empty chairs
What is a mathematics word problem?A word problem is a question in which the information required to find the solution and the description of the situation is provided using sentences, or regular verbal statements rather that symbols, expressions or operators.
(a) The number of chairs the hall can accommodate = 600
Let x represent the number of rows of chairs, therefore;
The number of chairs per row = 600/x
When the number of rows is increased by and the number of shares per row is decreased by 6, we get;
New number of rows = x + 5
New number of chairs per row = (600/x) -6
The equation for the number of chairs in the hall becomes;
(x + 5) × ((600/x) - 6) = 600
600·x + 6·x² - 570·x - 3000 = 0
6·x² + 30·x - 3000 = 0
x² + 5·x - 500 = 0
(x + 25)·(x - 20) = 0
x = -25 and x = 20
The number of rows is a positive number, therefore;
The original number of rows, x = 20(b) After re-arrangement, the number of rows, x = 20
The new number of chairs per rows = (600/20) - 6 = 24
The new number of rows = 20 + 5 = 25
Let E represent the number of empty chairs, the number of people in each row becomes 24 - E, which indicates;
25 × (24 - E) = 450
450 ÷ 25 = 18 = 24 - E
E = 24 - 18 = 6
The number of empty chairs per row, E = 6
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The table below shows a proportional relationship between y and z.
Y
72
99
153
N
8
11
17
Find the constant of proportionality from y to z.
Express your answer as a fraction in reduced terms.
Consta8of proportionality is 1/9
From a pack of 52 card, two are drawn, one after another at random. Find the probability that the firt one i a 7 and the econd i a 6. (There are 4 7' and 4 6' in a pack)
The probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.
What is probability?
Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.
It is given that there is a deck of 52 cards.
So sample space (n) = 52.
Now in the first draw, 7 numbered card should be drawn
and there are four 7 numbered cards in a deck of 52 cards
so probability of drawing a 7 numbered card will be = 4/52 = 2/26
Now in the second draw, 6 numbered cards should be drawn
and there are four 6 numbered cards in a deck of 52 cards but already one card is drawn so there will be 51 cards remaining in the deck.
so probability of drawing a 6 numbered card will be = 4/51
Hence the probability that the first card is 7 and the second card is 6 numbered will be = 2/26 * 4/51
= 0.076 * 0.078
= 0.0059
Hence, the probabilty that the first card is 7 and the second card is 6 numbered would be 0.0059.
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Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:
three to the one third power all over three to the one sixth power
A. the square root of three to the one sixth power
B. the ninth root of three squared
C. the square root of three to the sixth power
D. the sixth root of three
Answer:
D. The sixth root of three
Step-by-step explanation:
Translate from words to math symbols:
three to the one third power all over three to the one sixth power
[tex]\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} } } \\[/tex]
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:
[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} }[/tex]
Simplify:
[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} } = \frac{\sqrt[3]{3} }{\sqrt[6]{3} } * \frac{\sqrt[6]{3^{5} } }{\sqrt[6]{3^{5} } } = \frac{\sqrt[3]{3} *\sqrt[6]{3^{5} } }{\sqrt[6]{3^{6} } } = \frac{3^{\frac{1}{3} }*3^{\frac{5}{6} } }{3^{\frac{6}{6} } } = \frac{3^{(\frac{1}{3} +\frac{5}{6} )} }{3} = \frac{3^{(\frac{2}{6} +\frac{5}{6} )} }{3} = \frac{3^{\frac{7}{6} } }{3} = \frac{3^{\frac{1}{6} } *3}{3} = \\\\3^{\frac{1}{6} } = \sqrt[6]{3}[/tex]
Answer:
[tex]\sqrt[6]{3}[/tex]
D. the sixth root of three
Student are going on a field trip to a play. The play i elling kid ticket and adult ticket. They old a total of 60 ticket. One kid ticket ell for $3 while the adult ticket i $5. They made a profit of $220 that day. How many kid ticket were old?
Number of kids ticket is 40
What do you mean by system of linear equation?
A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.
Total number of tickets = 60
Cost of 1 kid ticket = $3
Cost of 1 adult ticket = $5
Total profit = $220
Let number of kid tickets = x
number of adult tickets = y
According to question:
x + y = 60 ......(1)
3x + 5y = 220 ........(2)
Substitute the value of x from eq(1) to eq(2)
3(60 - y) + 5y = 220
180 - 3y + 5y = 220
180 + 2y = 220
2y = 220 - 180
2y = 40
y = 40/2
y = 20
Substitute this value of y in eq(1)
x + 20 = 60
x = 60 - 20
x = 40
Therefore, number of kids ticket is 40
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Solve for x:
7x(x+1. 8)=0
Need help ASAP.
Answer is not x=-1. 8 or x=0
Answer:
Step-by-step explanation:
x = -9/5 = -1.800 or
x = 0
12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.
the maximum area of such a rectangle will be 144 unit²
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
The area of rectangle is A = a*b
A = 2x*(48-x²) = 96x - 2x³
We are asked to maximize the Area as changes so hopefully, we can identify a critical point of
It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0
96 - 6x² = 0
x² =96/6 = 16
x = ±6
So the width = 12
Height = 48 - 36 = 12
So the area = 144 unit²
Hence the maximum area of such a rectangle will be 144 unit²
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Which properties are present in a table that represents a logarithmic function in the form y = logo when b>
1. The y-values are always increasing or always decreasing.
II. The point (0, 1) exists in the table.
III. The y-values will decrease rapidly as the x-values approach zero.
IV. There will only be one x-value in the table with a y-value of zero.
O
O
O
O
I only
I and II only
1, 111, and IV
II and III only
Mark this and return
Save and Ex
Submit
Answer:
Step-by-step explanation:
i think its 1
can anyone help ? No links please worth a lot of points! I also need a explaination and the answer for Z
Answer:
11.66
Step-by-step explanation:
10^2 + 6^2 = Z^2
100 + 36 = Z^2
136 = Z^2
sqrt(136) = Z
sqrt 136 = 11.66
Help I don't know how to do this
Answer:
Step-by-step explanation:
a(n) = a(1) + (n-1)d
a(n) = -9 + (n-1) x (-6-(-9)
a(n) = -9 + (n-1) x (-6 +9)
a(n)= -9 + (n-1) x 3
a(n) = -9 + 3n - 3
a(n) = 3n - 12
a(30) = 3 x 30 - 12
a(30) = 90 - 12
a(30) = 78
The bill for two book came to $28. 48. One book cot $7. 44. What wa the cot of the other one
Answer:
Step-by-step explanation:
Ok:
If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price
2. 28.45-7.44=$21.01
3. Answer: The cost of the other one is $21.01
How to solve Solve 3! what the exclamation point means but it part of the problem
Answer:
3! = 3*2*1 = 6
Step-by-step explanation:
! is factorial meaning that you multiply that number by all of the number below it
9! = 9*8*7*6*5*4*3*2*1
1011 = 1011*1010*1009*1008...3*2*1
Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?.
The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.
(-3 1/4d + 3/5) - (2 7/8d + 7/10)
⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10
⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10
⇒ (-13/4 - 23/8)d + 6/10 - 7/10
⇒ (-26/8 - 23/8)d - 1/10
⇒ -49/8 d - 1/10
Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
Learn more about algebraic expression here: brainly.com/question/723406
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The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?
Answer:
hi do you mind making the question a bit clear? where is the table?
Step-by-step explanation:
