The doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.
What is the density?
Density is a physical property of matter that measures the amount of mass per unit volume. It is calculated by dividing the mass of an object or substance by its volume. The resulting number represents the amount of matter, or mass, that is present in a given volume.
The formula for density is:
Density = Mass / Volume
First, we need to convert the weight of the patient from kilograms to pounds, as the recommended dosage is in mg/lb:
72.7 kg x 2.205 lbs/kg = 160.305 lbs
The recommended dosage is 5 mg/lb, so for a 160.305 lbs patient, the total dosage per dose would be:
160.305 lbs x 5 mg/lb = 801.525 mg
Now we need to convert this dosage from mg to mL, using the concentration of the solution, which is 0.9 g/mL:
1 g = 1000 mg, so 0.9 g = 0.9 x 1000 = 900 mg
To convert mg to mL, we can use the density formula:
Density = Mass / Volume
Rearranging the formula to solve for volume, we get:
Volume = Mass / Density
So, the volume of solution needed for each dose would be:
Volume = 801.525 mg / 900 mg/mL
Volume = 0.8906 mL
Hence, the doctor should order a prescription of 0.8906 mL of the 0.9 g/mL solution for each dose.
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14. The number of visitors to a system of county parks t years after 2010 can be modeled by A =20.6(1.03)', where A is the annual number of visitors in thousands. Find and interpret the constant
percent rate of change per unit interval in the context of the situation.
The constant percent rate of change per unit interval is approximately 0.0305 or 3.05%.
What is the exponential functions?
An exponential function is a mathematical function of the form:
[tex]f(x) = a^x[/tex]
The given formula for the number of visitors to the county parks system is:
[tex]A = 20.6(1.03)^t[/tex]
where t is the number of years after 2010 and A is the number of visitors in thousands.
To find the constant percent rate of change per unit interval, we can take the derivative of A with respect to t:
[tex]dA/dt = 20.6(1.03)^t * ln(1.03)[/tex]
The constant percent rate of change per unit interval is given by the expression:
r = (dA/dt) / A
Substituting the values of dA/dt and A, we get:
[tex]r = [20.6(1.03)^t * ln(1.03)] / [20.6(1.03)^t]\\r = ln(1.03)\\r = 0.0305[/tex]
Hence, the constant percent rate of change per unit interval is approximately 0.0305 or 3.05%.
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Xinput
3
Rute:
Youtput)
59
X(input)
Rule:
2
4
7
The input rule to find the output is 19.67 multiplied by the input value.
What is division?One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.
Given:
An input value is 3, and the corresponding output value is 59.
The unit rate is 59 divided by 3.
We get,
59/3 = 19.67
The input rule to find the output is 19.67 multiplied by the input value.
Now, the required table is,
Input Output
2 39.33
4 78.67
7 137.67
Therefore, the required table is given above.
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Kallie works at a pet store. Part of her job is to add the correct amount of water
conditioner to each fish tank. The list below provides information about the
number of fish tanks and the amount of water conditioner she uses.
• There are 12 fish tanks that need water conditioner.
• Each fish tank is filled with 20 quarts of water.
• For every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner.
What is the total number of teaspoons of water conditioner Kallie will use for all the
water in the 12 fish tanks?
The number of teaspoons that Kallie will use for all the water in the 12 fish tanks is given as follows:
6 teaspoons.
How to obtain the number of teaspoons?The number of teaspoons that Kallie will use for all the water in the 12 fish tanks is obtained applying the proportions in the context of the problem.
Each fish tank is filled with 20 quarts of water, which is equivalent to 20 x 0.25 = 5 gallons of water.
There are 12 fish tanks, hence the total number of gallons that are needed is given as follows:
12 x 5 = 60 gallons.
For every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, hence the number of teaspoons is given as follows:
60/10 = 6 teaspoons.
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the dot plot shows the number of wins for 16 baseball teams which statement about the data is true
Based on the dot plot, it appears that the data is spread relatively evenly across the teams, with no one team dominating the others by a wide margin.
What is data in math?Data is the raw information that can be collected and analyzed to provide insights. It is the foundation of decision-making and can be used to identify trends, patterns, and relationships. Data can come from many different sources, including surveys, databases, and software applications. Data can be qualitative or quantitative, static or dynamic, structured or unstructured, and can be used to inform decisions, inform policy, and inform research. Data can also be used to make predictions, monitor performance, and improve efficiency.
This suggests that the competition between the teams is relatively balanced, and that no team is significantly outperforming the others in terms of number of wins. This could indicate that the teams are of about equal skill level, or that the schedule for each team is balanced enough that no team has an advantage over the others.
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what are three ratios equal to 9.5/25?
Answer:
9.50 : 25
19 : 50
28.50 : 75
Step-b-step explanation:
Which of the
following points
would be a solution
to this system of
linear inequalities?
y≤-3x-2
y> x-2
(-4,1)
(2, 2)
Neither of the given points is a solution to the system of linear inequalities.
What does solution to the system of linear inequalities mean ?
A system of linear inequalities is a set of two or more linear inequalities with the same variables. This system consists of two linear inequalities, each involving the variables x and y, and each inequality uses one of the inequality symbols.
The solution to a system of linear inequalities is the set of values for the variables that satisfy all the inequalities in the system simultaneously. This solution can be represented graphically as the region of the coordinate plane that satisfies all the inequalities in the system.
Check the given points whether they are solutions to the system of linear inequalities or not :
Substitute the x and y values of each point into both inequalities and check if they are true.
(a) (-4,1) :
y ≤ -3x - 2
1 ≤ -3(-4) - 2
1 ≤ 10
This is false, so (-4,1) is a not solution to the first inequality.
y > x - 2
1 > -4 - 2
1 > -6
This is true, so (-4,1) is a solution to the second inequality.
Since (-4,1) is a solution to only one of the inequalities and not both, it is not a solution to the system of linear inequalities.
(b) (2,2):
y ≤ -3x - 2
2 ≤ -3(2) - 2
2 ≤ -8
This is false, so (2,2) is not a solution to the first inequality.
y > x - 2
2 > 2 - 2
2 > 0
This is true, so (2,2) is a solution to the second inequality.
Since (2,2) is a solution to only one of the inequalities and not both, it is not a solution to the system of linear inequalities.
Therefore, neither of the given points is a solution to the system of linear inequalities.
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1. An advertising agency finds that of its 200 clients, 150 use television (T), 80 use magazines (M), and 50 use both. a. clients. Use these data to complete a Venn diagram displaying the use of mass media for these 200 b. Use your Venn diagram to determine the following probabilities: i. P(T) ii. P(T^M) iii. P(TUM) P(T|M)
By using Venn diagram the following probabilities are 0.75,0.25,0.9 and 0.625.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of clients= 200
Number of television= 150
Magazines=80
Both magazine and television=50
Now,
To complete the diagram, we can fill in the following values:
The size of T is 150.
The size of M is 80.
The size of TM (the overlap between T and M) is 50.
The size of C (the total number of clients who use either T or M) is 150 + 80 - 50 = 180.
The size of U (the number of clients who use neither T nor M) is 200 - 180 = 20.
Now we can use the Venn diagram to answer the following probabilities:
i. P(T) is the probability that a randomly selected client uses television. This is the size of T divided by the total number of clients, which is 150/200 = 0.75.
ii. P(T ∩ M) is the probability that a randomly selected client uses both television and magazines. This is the size of TM divided by the total number of clients, which is 50/200 = 0.25.
iii. P(T ∪ M) is the probability that a randomly selected client uses either television or magazines (or both). This is the size of C divided by the total number of clients, which is 180/200 = 0.9.
iv. P(T|M) is the probability that a randomly selected client uses television given that they use magazines. This is the size of TM divided by the size of M, which is 50/80 = 0.625.
Therefore, by probability the answer will be 0.75,0.25,0.9 and 0.625.
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69 and 5.6 x 10^5 expressed in scientific notation
The product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.
Describe Scientific Notation?Scientific notation, also known as standard form, is a way of writing very large or very small numbers in a concise and convenient way. It expresses a number as the product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10.
The general form of a number written in scientific notation is:
a × 10^n
where a is the coefficient, and n is an integer exponent that indicates the number of places the decimal point must be moved to obtain the original number.
To multiply numbers in scientific notation, we multiply their coefficients and add their exponents.
69 x 5.6 x 10⁵ = (6.9 x 10¹) x (5.6 x 10⁵)
= (6.9 x 5.6) x 10¹⁺⁵
= 38.64 x 10⁶
= 3.864 x 10⁷ (in scientific notation)
Therefore, the product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.
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The complete question is :
Determine if the triangle pictured below is a right triangle.
(30 points)
Answer: Yes
Step-by-step explanation: Even though the sides might be different because there is little detail in this illustration, you actually have to predict, and if it looks as straight up as it is here, it counts as right. (Also, if you have a tool like a protractor, you could use that to measure it.)
what is 92199+20923+29290+83292+2819+99279+38471+37814
Answer:404087
Step-by-step explanation:
use the calculator frfr
Answer:
404087
Step-by-step explanation:
can someone help me please
The two solutions to the linear equation is given by the ordered pairs (0, 6) and (-4, 5).
How to graph the solution to this linear equation?In order to to graph the solution to the given linear equation on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point that lie on it;
y = 0.25x + 6.00
Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.
Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (-4, 5) and (0, 6).
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What does a right triangle equal
Answer:
180 degree
Step-by-step explanation:
The right triangle equals 180 degree. All three angles must add up to 180.
Answer:
180°
Step-by-step explanation:
right triangles equal 180°
What is the avantage of using exponential notion?
Answer:
Exponential notion makes a big number easier to write and read.
Step-by-step explanation:
A corn plant will be killed by the aphids if the total number of aphids on the plant exceeds 2,000. If there are 50 corn plants in this field, will there be enough aphids after 3 weeks to completely destroy the plants?
There won't be enough aphids to completely harm the maize plants because 10,000 is less than 2,000 50 (the maximum number of aphids that can be on all the plants without killing them).
Application of linear equationTo determine if there are enough aphids to kill the corn plants, we need to know the total number of aphids on each plant after 3 weeks. Let's assume that on average, each plant has 200 aphids after 3 weeks.
Then, the total number of aphids in the field would be:
50 plants × 200 aphids/plant = 10,000 aphids
Since 10,000 is less than 2,000 × 50 (the maximum number of aphids that can be on all the plants without killing them), there will not be enough aphids to completely destroy the corn plants.
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Debra will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $47.96 and costs an additional $0.19 per mile driven. The second plan has an initial fee of $53.96 and costs an additional $0.15 per mile driven. How many miles would Debra need to drive for the two plans to cost the same?
By answering the above question, we may state that Debra would thus function need to travel 150 miles for the price of the two plans to be the same.
what is function?Mathematicians research numbers, their variants, equations, forms, and related structures, as well as possible locations for these things. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a function. Every input contributes to a single, distinct output in a connection between inputs and outputs known as a function. A domain, codomain, or scope is assigned to each function. Often, functions are denoted with the letter f. (x). The key is an x. There are four main categories of accessible functions: on functions, one-to-one capabilities, so many capabilities, in capabilities, and on functions.
The starting charge and the cost per mile would be added together for the first plan's total cost:
Costs for plan 1 total 47.96 plus 0.19x.
The first charge and the cost per mile would be added together for the second plan's total cost:
Plan 2's overall cost is 53.96 plus 0.15x.
Set the two total cost expressions equal to one another and solve for x to get how many miles Debra would need to go for the two plans to be the same in price:
47.96 + 0.19x = 53.96 + 0.15x
0.04x = 6
x = 150
Debra would thus need to travel 150 miles for the price of the two plans to be the same.
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PLEASE HELP IM GOING TO FAIL
The correct statements regarding the translation are given as follows:
The measures of <ABC and <A'B'C' are equal.The orientation of <ABC and <A'B'C' are the same in the coordinate plane.What are the effects of each type of transformation?Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.A translation changes only the position of the figure, keeping angle measures and orientation correct, hence the second and the third options are correct.
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QUESTION 3 Read the extract below and answer the questions that follow. Cape Town- a thirteen-year-old-boy was arrested and released on warning after he was caught on video assaulting an assistant teacher on the body and on head using his closed fists. Published: Dec 7, 2021 By: Siphokazi Vuso The grade 12 pupil from Harmony Primary in Steenberg can be seen on the video assaulting an assistant teacher after she had confiscated a ball from another pupil. Spokesperson Captain Frederick Van Wyk said witnesses tried to keep the learner away from the teacher when he broke loose and assaulted her. He said the boy was arrested on December 3 and was released in the care of his parents on a warning to appear in the Wynberg Magistrate's Court on Wednesday. [Adapted from: https://www.iol.co.za Accessed on 02 January 2023] /15/ 3.1 Define the term 'conflict resolution' and explain how the above situation is an example of bad conflict resolution. (1+2)(3) 3.2 Suggest TWO strategies that learners and teachers could put in place to decrease the culture of violent within their schools.
These two situations are examples of poor conflict resolution because they do not offer a space for dialogue between the individuals involved, but rather there is only judgment by law without any mediation.
What is conflict resolution?Conflict resolution is a term that refers to the ability of individuals to resolve conflicts or differences with others in a peaceful manner agreed upon by all parties involved. In this case, these two examples are not examples of good conflict resolution because there is no space for dialogue between students and teachers, but rather there is only aggression and prosecution before the entities in charge of justice in each country.
Due to the above, we believe that some strategies to end the culture of violence in schools is to spread messages of dialogue and conflict resolution in a peaceful manner. Also, offer workshops for parents so that from home conflict resolution is reinforced through dialogue.
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Find perimeter please due in five minutes
Will give 30 pointsd
the perimeter of the shape is [tex]8 + 2\sqrt(2) units.[/tex]
AB = [tex]\sqrt ((4-2)^2 + (0-0)^2)[/tex] = [tex]\sqrt (4)[/tex] = 2
BC = [tex]\sqrt ((4-4)^2 + (3-0)^2) = 3[/tex]
CD =[tex]\sqrt ((3-4)^2 + (4-3)^2) = \sqrt (2)[/tex]
DE = [tex]\sqrt ((2-3)^2 + (3-4)^2) = \sqrt(2)[/tex]
EA =[tex]\sqrt ((2-2)^2 + (3-0)^2) = 3[/tex]
AB + BC + CD + DE + EA = [tex]2 + 3 + \sqrt(2) +\sqrt sqrt(2) + 3 = 8 + 2\sqrt(2)[/tex]
As a result, the shape has a perimeter of [tex]8 + 2 \sqrt(2)[/tex] units.
what is the perimeter?The whole distance around a shape is referred to as its perimeter. In essence, the length of any shape when it is expanded in a linear form equals its perimeter. A shape's perimeter in a two-dimensional plane is its complete circumference. Depending on their measurements, distinct shapes' perimeters may be equal in length. Units are used to measure perimeter (m, cm, in, feet, etc.)
From the question;
The lengths of all the sides must be added up in order to determine the shape's perimeter.
Let's begin by giving the shape's vertices the following labels:
A = (2, 0)
B = (4, 0)
C = (4, 3)
D = (3, 4)
E = (2, 3)
The lengths of each side can be determined using the distance formula:
AB = [tex]\sqrt ((4-2)^2 + (0-0)^2)[/tex] = [tex]\sqrt (4)[/tex] = 2
BC = [tex]\sqrt ((4-4)^2 + (3-0)^2) = 3[/tex]
CD =[tex]\sqrt ((3-4)^2 + (4-3)^2) = \sqrt (2)[/tex]
DE = [tex]\sqrt ((2-3)^2 + (3-4)^2) = \sqrt(2)[/tex]
EA =[tex]\sqrt ((2-2)^2 + (3-0)^2) = 3[/tex]
AB + BC + CD + DE + EA = [tex]2 + 3 + \sqrt(2) +\sqrt sqrt(2) + 3 = 8 + 2\sqrt(2)[/tex]
As a result, the shape has a perimeter of [tex]8 + 2 \sqrt(2)[/tex] units.
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Answer:the perimeter of the shape is
AB = = = 2
BC =
CD =
DE =
EA =
AB + BC + CD + DE + EA =
As a result, the shape has a perimeter of units.
what is the perimeter?
The whole distance around a shape is referred to as its perimeter. In essence, the length of any shape when it is expanded in a linear form equals its perimeter. A shape's perimeter in a two-dimensional plane is its complete circumference. Depending on their measurements, distinct shapes' perimeters may be equal in length. Units are used to measure perimeter (m, cm, in, feet, etc.)
From the question;
The lengths of all the sides must be added up in order to determine the shape's perimeter.
Let's begin by giving the shape's vertices the following labels:
A = (2, 0)
B = (4, 0)
C = (4, 3)
D = (3, 4)
E = (2, 3)
The lengths of each side can be determined using the distance formula:
AB = = = 2
BC =
CD =
DE =
EA =
AB + BC + CD + DE + EA =
As a result, the shape has a perimeter of units.
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Step-by-step explanation:
For Saturday matinees, a movie theater charges $5 for adult tickets and $3 for children's tickets. If the movie theater sold a total of 166 matinee tickets and made
$718 in revenue on Saturday afternoon, how many adult matinee tickets were sold?
Answer:
Let's use A to represent the number of adult tickets sold and C to represent the number of children's tickets sold.
We know that A + C = 166, since the total number of tickets sold is 166.
We also know that the revenue earned from adult tickets is $5A and the revenue earned from children's tickets is $3C. Since the total revenue earned is $718, we can write:
5A + 3C = 718
Now we have two equations with two variables:
A + C = 166
5A + 3C = 718
We can solve for A in the first equation to get:
A = 166 - C
Then we can substitute this expression for A into the second equation:
5(166 - C) + 3C = 718
Simplifying and solving for C, we get:
830 - 2C = 718
2C = 112
C = 56
So 56 children's tickets were sold. We can substitute this value back into the first equation to solve for A:
A + 56 = 166
A = 110
Therefore, 110 adult tickets were sold.
Answer:
Step-by-step explanation:
Let's use the following variables:
a = number of adult tickets sold
c = number of children tickets sold
We know that:
a + c = 166 (total number of tickets sold)
5a + 3c = 718 (total revenue)
We can solve this system of equations by substitution or elimination. Here, we'll use elimination:
Multiply the first equation by 3: 3a + 3c = 498
Subtract the second equation from the first: 2a = 220
Solve for a: a = 110
So 110 adult tickets were sold. We can find the number of children's tickets by substituting a = 110 into either of the original equations:
c = 166 - a = 166 - 110 = 56
Therefore, 110 adult tickets and 56 children's tickets were sold.
The average cost to build a 4 , 000 sq ft fast-food restaurant in Miami is about $ 952 , 000 . Find the average cost per square foot to build a fast-food restaurant.
Average cost per square foot to build a fast-food restaurant is $238 .
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers.
Given,
Area of the restaurant = 4000 sqft
Total average cost to build the restaurant
= $952000
Average cost of per sqft
= 952000/4000
= $238
Hence, $238 is the average cost per square foot to build a fast-food restaurant.
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PLEASE HELPP
If BE = 10x - 12 and EF = 2x, Find AC
The length of AC is 12.
What are Arithmetic operations?Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.
Given is a line.
A, B, C, D, E and F are equally spaced on the line.
Given that, EF = 2x
This means that distance between each of the point is 2x.
AB = 2x, BC = 2x, CD = 2x, and DE = 2x
Given BE = 10x - 12
BE = BC + CD + DE
= 2x + 2x + 2x
= 6x
So, 10x - 12 = 6x
10x - 6x = 12
4x = 12
x = 3
Now, we have to find AC.
AC = AB + BC
= 2x + 2x
= 4x
= 4 × 3
= 12
Hence AC is 12.
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Round 4,383,918 to the
nearest...
100:
Answer:4,383,900
Step-by-step explanation:
4,383,900
if x = 5 what is the value of 2x - 5
Answer:
answer is 5
Step-by-step explanation:
2x=5×2
so 2x=10
10-5=5
so 2x-5=5
Answer:
5
Step-by-step explanation:
2x - 5 first, substitute
2(5) - 5 then, multiply
10 - 5 = 5
Electricity bills in a certain city have mean $ 106.27 . Assume the bills are normally distributed with standard deviation $ 17.15 . Find the value that separates the lower 40 % of the bills from the rest.
Write only a number as your answer. Round to two decimal places (for example: 42.81). Do not write any units.
Answer:
Step-by-step explanation:
To find the value that separates the lower 40% of the bills from the rest, we need to find the z-score corresponding to the 40th percentile of the standard normal distribution, and then use this z-score to find the corresponding value in the distribution of electricity bills.
Using a standard normal distribution table or a calculator, we can find that the z-score corresponding to the 40th percentile is approximately -0.25.
To find the corresponding value in the distribution of electricity bills, we can use the formula:
z = (x - mu) / sigma
where z is the z-score, x is the corresponding value in the distribution, mu is the mean, and sigma is the standard deviation.
Rearranging this formula to solve for x, we get:
x = mu + z * sigma
Substituting the given values, we get:
x = 106.27 + (-0.25) * 17.15
x = 101.63
Therefore, the value that separates the lower 40% of the electricity bills from the rest is approximately $101.63.
If a system has no solution, what do you know about the lines being graphed?
PART B:
If a system has 1 solution, what do you know about the lines being graphed?
PART C:
If a system has infinitely many solutions, what do you know about the lines being graphed?
If a system has nο sοlutiοn, it means that the lines being graphed are parallel and dο nοt intersect at any pοint.
If a system has 1 sοlutiοn, it means that the lines being graphed intersect at a single pοint.
If a system has infinitely sοlutiοns, it means that the lines being graphed are cοincident, i.e., they lie οn tοp οf each οther.
What is Linear Equatiοn in Twο Variables?A linear equatiοn in 2 variables is an algebraic expressiοn that represents a straight line οn a 2D cοοrdinate plane.
It can be written in the fοrm οf y = mx + b, where m is the slοpe οf the line, b is the y-intercept, and x and y are the twο variables.
PART A:
If a system has nο sοlutiοn, it means that the lines being graphed are parallel and dο nοt intersect at any pοint. This implies that there are nο values οf the variables that can satisfy bοth equatiοns simultaneοusly.
PART B:
If a system has one sοlutiοn, it means that the lines being graphed intersect at a single pοint. This implies that there is οnly οne unique sοlutiοn that satisfies bοth equatiοns simultaneοusly.
PART C:
If a system has infinitely many sοlutiοns, it means that the lines being graphed are cοincident, i.e., they lie οn tοp οf each οther. This implies that there are an infinite number οf values οf the variables that can satisfy bοth equatiοns simultaneοusly since every pοint οn the shared line is a valid sοlutiοn tο the system.
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Now that you have the height of the cone, how can you solve for the slant heights
Height = 21 mm
Volume = 8792 mm
Radius 20mm
The slant height [tex]l = 29 \: mm[/tex].
What is a Cone?A cone is a three-dimensional geometric shape with a smooth transition from a flat, usually circular base to the apex or vertex, which forms an axis to the base's center.
As per the given data:
Height = 21 mm
Volume = 8792 mm
Radius = 20 mm
For slant height of the one ([tex]l[/tex]):
[tex]l = \sqrt{r^2 + h^2}[/tex] {using Pythagoras theorem}
[tex]l = \sqrt{(20)^2 + (21)^2}[/tex]
[tex]l = \sqrt{(20)^2 + (21)^2}[/tex]
[tex]l = \sqrt{400 + 441}[/tex]
[tex]l = 29 \: mm[/tex]
Hence, the slant height [tex]l = 29 \: mm[/tex].
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28x to the power of 2 plus 20
Answer:
good morning!
Step-by-step explanation:
the answer to your question is 4(7x^2+5)
hope you have a great day!
Mr. Perez ask Monica to measure the dimensions of the aquarium to see whether it could fit on the table S applied Michael measured the aquarium's left hand with angle at 96CM and 60CM respectively what is the area of the base of the aquarium
Therefore, the area of the base of the aquarium is 5760 square centimeters.
What is area?Area is a measure of the amount of space inside a two-dimensional (2D) shape or figure. It is usually measured in square units, such as square meters (m²) or square centimeters (cm²). The area of a shape is calculated by multiplying the length of one side or dimension of the shape by the length of another side or dimension. The resulting value represents the total number of square units that are contained within the shape. Area is an important concept in mathematics and is used in various fields, such as geometry, physics, and engineering. It helps in measuring and comparing the sizes of shapes and figures, and in determining how much material is needed to cover or fill a certain area.
Here,
The area of the base can be calculated using the dimensions of the aquarium.
Let's assume that the aquarium has a rectangular base with length L, width W, and height H. Then, the area of the base of the aquarium can be calculated as:
Area of base = Length x Width = L x W
If Monica measured the length and width of the base, we can use those measurements to calculate the area of the base. If not, we'll need to make additional assumptions or measurements.
Assuming we have the length and width of the base, we can calculate the area as follows:
Area of base = Length x Width
Area of base = 96 cm x 60 cm
Area of base = 5760 cm²
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Which number completes the table for y=x²?
x y
00
4 16
-3
6
-6
-9
9
Answer: -3,9
Step-by-step explanation: plug in -3 for x which gives u 9
Pedro tracks his steps when he runs. He sets a goal to run exactly 10,000 steps a day on his
running days.
Pedro estimates that there are approximately 2,000 steps in 1 mile. He uses this estimate to
make a plan.
He runs a total of 4 hours over 5 days.
He runs for an equal amount of time each day.
He runs at a rate of 6 miles per hour.
Pedro will not meet his daily running goal with this plan.
What is one change you can make to one value in Pedro's plan to ensure that Pedro meets his
daily running goal? Justify your response.
One change that Pedro can make to his plan to ensure that he meets his daily running goal is to increase the estimated number of steps per mile.
How would this help meet the running goal?If Pedro overestimates the number of steps in a mile, he will end up taking more steps than he initially planned for, which can help him reach his daily goal.
For example, if Pedro increases his estimate from 2,000 steps per mile to 2,500 steps per mile, he will need to run approximately 4 miles per day to reach his goal of 10,000 steps. This will make it more likely for him to reach his daily goal within the 4 hours of running over the 5 days.
Alternatively, Pedro can increase his running speed to cover more distance in a shorter period of time. For instance, if he increases his running speed from 6 miles per hour to 8 miles per hour, he will need to run for only about 2.5 hours per day to reach his goal of 10,000 steps.
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