Number of hours does it take for the temperature to change by -4. 4°C is 5.5 hours
To solve this problem, we can use the formula for finding the change in temperature
Change in temperature = rate of change × time
where the rate of change is -0.8°C per hour and the change in temperature we want to find is -4.4°C. So, we can plug in these values and solve for time
-4.4°C = (-0.8°C / hour) × time
Dividing both sides by -0.8°C / hour, we get
time = 5.5 hours
Therefore, it will take 5.5 hours for the temperature to change by -4.4°C.
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A rod of length L is placed along the X-axis between X=0 and x=L. The linear density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx. (a) Find the SI units of a and b. (b) Find the mass of the rod in terms of a,b and L.
(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².
(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:
Mass (M) = ∫(a + bx) dx, with limits from 0 to L
Now, we can integrate:
M = [a * x + (b/2) * x²] evaluated from 0 to L
Substitute the limits:
M = a * L + (b/2) * L²
So, the mass of the rod in terms of a, b, and L is:
M = aL + (bL²)/2
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Unit 9 area of a composite figure answer sheet all things algebra
Answer: I'm sorry, but I cannot provide answer sheets or solutions to specific assignments or assessments. It is important for you to try to solve the problems yourself to gain a better understanding of the concepts. If you are struggling with a specific problem or concept, I would be happy to help you work through it.
Not sure how to go about tackling this question?
Should I try to get [tex]y= \frac{x(k+1)}{k-1}[/tex] into the form of the ratio first then simplify?
The proof for the given proportion or two equivalent ratios given as (y+x):(y-x) = k:1 is shown below
What is a proportion?
On ratio and fractions, proportion is based. Two ratios are equal when they are represented as a fraction (a/b), a ratio (a:b), and then a proportion. A and B are two integers. Two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio for both sets. The symbols "::" or "=" are used to indicate proportions. If the ratio between the first and second is equal to the ratio between the second and third, then any three quantities are in continuing proportion.
Given that (y+x) : (y-x) = k : 1
We know that product of extremes = product of means
Extremes=(y+x) and 1
Means=(y-x) and k
(y+x) . 1 = (y-x) . k
y + x = ky - kx
y - ky = -kx - x
y - ky = - x(k + 1)
-(y - ky) = x(k + 1)
ky - y = x(k + 1)
y(k - 1) = x(k + 1)
y=[tex]\frac{x(k+1)}{(k-1)}[/tex]
Hence proved.
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Add parentheses to make expression true
5×6-3+4 = 19
Correct expression would be, 5*(6-3)+14=19
What is expression?
An expression consists of one or more numbers or variables along with one more operation.
Given Expression:
5×6-3+4 = 19
To make expression true we will add parentheses between 6 and 3
The correct expression would be, 5*(6-3)+14=19
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What is the solution to 9/x+81 > 45?
Answer:
I dont know the answer to be honest..
JUST KIDDING.. ill answer this step by step lol
To solve the inequality 9/x + 81 > 45, we can follow these steps:
Step 1: Subtract 81 from both sides of the inequality to isolate the fraction on the left-hand side:
9/x + 81 - 81 > 45 - 81
9/x > -36
Step 2: Take the reciprocal of both sides of the inequality to eliminate the fraction:
1 / (9/x) < 1 / (-36)
x/9 < -1/36
Step 3: Multiply both sides of the inequality by 9 to get rid of the fraction in the numerator:
9 * (x/9) < 9 * (-1/36)
x < -1/4
So, the solution to the inequality 9/x + 81 > 45 is x < -1/4. This means that x must be less than -1/4 for the inequality to be true.
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
Which drive-thru typically has less wait time, and why?
Fast Chicken, because it has a smaller median
Fast Chicken, because it has a smaller mean
Super Fast Food, because it has a smaller median
Super Fast Food, because it has a smaller mean
The correct answer is: Fast Chicken, because it has a smaller median.
What is median?
Median is a measure of central tendency that represents the middle value in a dataset when the values are arranged in order of magnitude. To find the median, you need to arrange the values in order from smallest to largest and then find the middle value.
Based on the information provided, the drive-thru restaurant with less wait time is Fast Chicken, as it has a smaller median wait time of 12.5 minutes compared to the median wait time of 12 minutes for Super Fast Food. The mean wait time is not given, and even if it were, the median is a better measure of central tendency to compare in this scenario, as the box plots suggest some potential outliers.
Therefore, the correct answer is: Fast Chicken, because it has a smaller median.
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16 mi c. john started a carpool with his coworkers to save money. he and his three passengers split the cost of the toll. if each person pays about $0.81 , which includes their contribution to the toll lane entry fee, how many miles do they travel on the toll lane?
John and his three passengers travel a total of 20.25 miles on the toll lane.
To solve this problem, we can use the fact that each person pays about $0.81, which includes their contribution to the toll lane entry fee. This means that the total amount of money paid by John and his three passengers is 4 times $0.81, or $3.24.
We can then use this information to find the cost per mile of the toll lane. If they traveled a total of x miles on the toll lane, then the cost per mile would be:
$3.24 / x
We can set this equal to the given cost of 16 cents per mile:
$0.16 = $3.24 / x
Multiplying both sides by x, we get:
x * $0.16 = $3.24
Dividing both sides by $0.16, we get:
x = $3.24 / $0.16
x = 20.25 miles
In summary, to find the distance they traveled on the toll lane, we used the fact that they split the cost of the toll, and that each person paid about $0.81. We then set the cost per mile equal to the given cost of 16 cents per mile, and solved for the distance traveled on the toll lane, which turned out to be 20.25 miles.
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What is the Y-intercept of boundary line of y 4x + 2 ?
what is the effect of the interaction of the number of pages and cover type on cost? (round your answers to four decimal places.)
To determine the effect of the interaction of the number of pages and cover type on cost, a statistical analysis would need to be performed using data on the number of pages, cover type, and cost. The analysis would likely involve running a regression model that includes both the number of pages and cover type as predictor variables, as well as an interaction term between the two.
To answer your question, the effect of the interaction between the number of pages and cover type on the cost can be determined through a step-by-step process:
1. Identify the base cost of each cover type (e.g., hardcover, paperback, etc.).
2. Determine the cost per additional page for each cover type.
3. Calculate the cost for a specific number of pages and cover type by adding the base cost and the cost of additional pages.
For example:
- Base cost for hardcover: $5.00
- Base cost for paperback: $3.00
- Cost per additional page for hardcover: $0.10
- Cost per additional page for paperback: $0.05
Now, let's say you want to find the cost of a 100-page hardcover book:
1. Start with the base cost of a hardcover: $5.00
2. Multiply the number of pages (100) by the cost per additional page for hardcover ($0.10): 100 * $0.10 = $10.00
3. Add the base cost and the cost of additional pages: $5.00 + $10.00 = $15.00
So, the cost of a 100-page hardcover book is $15.00.
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in an analysis testing differences between an experimental and a control group on the dependent variable, a p-value of 0.07 means there is a
A control group on the dependent variable, P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.
In an analysis testing difference between an experimental and a control group on the dependent variable, a p-value of 0.07 means that there is a 7% chance of obtaining a difference as large or larger than the observed difference between the two groups, assuming that there is no true difference between the groups in the population.
Interpreted as evidence that the difference between the groups is not statistically significant, since the p-value is greater than the conventional threshold of 0.05 for rejecting the null hypothesis of no difference between the groups.
Statistical significance does not necessarily imply practical significance, and there may still be a meaningful difference between the groups that is not detected by the statistical test.
Additionally, the interpretation of a p-value depends on the study design, sample size, and other factors, and should be considered in conjunction with other information about the study.
True difference between the groups in the population, a p-value of 0.07 indicates that there is a 7% chance of finding a difference as large or larger than the observed difference between the two groups in an analysis testing the difference between an experimental and a control group on the dependent variable.
P-value is higher than the usual cutoff of 0.05 for rejecting the null hypothesis that there is no difference between the groups, this is frequently regarded as evidence that the difference between the groups is not statistically significant.
It's crucial to remember that statistical significance does not always imply practical relevance.
There could still be a significant difference between the groups that is not shown by statistical analysis.
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Which are the coordinates of the vertex of F(x)=x^2-2x-3
Therefore , the solution of the given problem of coordinates comes out to be (1, -4) are the coordinates of the vertex of the function F(x) = x² - 2x - 3.
What does coordinate plane actually mean?When used in connection with particular other algebraic components on this place, such as Euclidean space, a parameter can reliably detect placement using a number of qualities or coordinates. Coordinates, which appear as collections of numbers when traversing in reflected space, can be utilised to identify particular places or things. Using the two y & x measurements, one can find something over both sides.
Here,
The formula x = -b/2a can be used to determine the vertex of a quadratic function with the form
F(x) = ax² + bx + c. A and B are equal in the given function
=> F(x) = x² - 2x - 3.
With these values entered into the formula, we obtain:
=> x = -b/2a x = -(-2)/(2*1)
=> x = 2/2 x = 1
Consequently, the vertex's x-coordinate is 1.
Now, we can enter the value of x into the following function, F(x), to determine the vertex's y-coordinate:
=> F(1) = 1² - 2(1) - 3
=> F(1) = 1 - 2 - 3
=> F(1) = -4
Therefore, the vertex's y-coordinate is -4.
As a result, (1, -4) are the coordinates of the vertex of the function
=> F(x) = x² - 2x - 3.
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The floor of a storage unit is 3 meters long and 4 meters wide. What is the distance between two opposite corners of the floor?
The distance between two opposite corners of the floor is 5 meters.
What is Pythagoras Theorem?
Pythagoras' theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Using the Pythagorean theorem, the distance between two opposite corners of the floor can be found by calculating the length of the hypotenuse of a right triangle whose legs are the length and width of the floor. Therefore,
c² = a² + b²
where c is the length of the hypotenuse, a is the length of the floor (3 meters), and b is the width of the floor (4 meters).
Substituting the values, we get:
c² = 3² + 4²
c² = 9 + 16
c² = 25
Taking the square root of both sides, we get:
c = √(25)
c = 5
Therefore, the distance between two opposite corners of the floor is 5 meters.
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9. Find the sum of the expressions
(-4.25x + 9) and (8x - 2.2). Select all
of the statements that are true.
The coefficient of x is 3.75.
The coefficient of x is 4.75.
The constant is 11.2.
The constant is 6.8.
The sum is 3.75x + 6.8.
The sum is 4.75x + 11.2.
The sum of the expression is 3.5x+6.8.
Given that are two expressions, we need to find the sum of the expressions,
The expression is a mathematical statement which is constructed by putting arithmetical operations, variables and numbers together.
So, finding the sum.
(-4.25x + 9) and (8x - 2.2)
Putting the sign of addition,
= (-4.25x + 9) + (8x - 2.2)
Opening the brackets,
= -4.5x + 9 + 8x - 2.2
Combining the like terms.
= 8x-4.5x + 9-2.2
Operating the like terms,
= 3.5x+6.8
Hence, the sum of the expression is 3.5x+6.8.
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The graph of a linear function is shown on the coordinate grid.
What is the y-intercept of the graph of this function?
PLEASE HELP! WILL GIVE BRAINLY ANSWER
Answer:
[tex]\dfrac{4}{3}[/tex]
Step-by-step explanation:
We can find the y-intercept of this line by:
1) finding the slope using the given points
[tex]m = \dfrac{8-(-7)}{4-(5)}[/tex]
[tex]m = \dfrac{8+7}{4+5}[/tex]
[tex]m = \dfrac{15}{9}[/tex]
[tex]m=\dfrac{5}{3}[/tex]
2) forming an equation for the line using point slope form
[tex]y - b = m(x - a)[/tex] where [tex](a,b)[/tex] is a point on the line
... using the point (4,8)
[tex]y - 8 = \frac{5}{3}(x - 4)[/tex]
3) plugging 0 in for x to get the y-intercept
[tex]y - 8 = \frac{5}{3}(0 - 4)[/tex]
[tex]y - 8 = \frac{5}{3}(-4)[/tex]
[tex]y = 8 -\frac{20}{3}[/tex]
[tex]y = \frac{24}{3} -\frac{20}{3}[/tex]
[tex]\boxed{y=\dfrac{4}{3}}[/tex]
BRAINLIST!
PLS SHOW ALL STEPS!! WE ARE DOING A CLASS JAM BOARD AND I NEED THIS DONE! I WILL MAKE YOU A BRAINLIST!
Step-by-step explanation:
Ok do what you need to do is label the line opposite the square angle as H for the hypotenuse. Then label the line opposite the circular angle as O for the opposite. And finally, the last line remaining should be labelled as A for Adjacent. Does this help?
Mrs. Hanson is filling containers in her bakery with flour. How much flour will fit into two of the containers?
The flour will fit into two of the container is 144 inches.
What is the volume of cuboids?
A cuboid is a six-sided solid known as a hexahedron. Quadrilaterals make up its faces. Cuboid is short for "like a cube". A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.
Here, we have
Given: Mrs. Hanson is filling containers in her bakery with flour.
we have to find how much flour will fit into two of the containers.
Volume of cuboid = length × breadth × height
Length = 6 inches
Breadth = 3 inches
Height = 8 inches
The flour will fit into two of the containers = length × breadth × height
= 6 ×3 × 8
= 144 inches
Hence, The flour will fit into two of the container 144 inches.
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2. A small box in the shape of a cube for packaging has a volume of 216 cubic inches.
(a) For a medium box, the length, width, and height are all tripled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
(b) What is the volume of a medium box? Show your work.
(b) The volume of the medium box is 5832 cubic inches.
What is ratio?In mathematics, a ratio is a comparison of two quantities or numbers. It is expressed as the quotient of one number divided by another, and is often written as "a:b" or "a/b". Ratios are used to compare the sizes of two or more quantities, and they can be used to solve problems involving proportions and percentages.
For example, if a recipe calls for a ratio of 2 cups of flour to 1 cup of sugar, this means that for every 2 cups of flour used, 1 cup of sugar should be used as well. Similarly, if a company has a debt-to-equity ratio of 2:1, this means that for every $2 of debt, the company has $1 of equity.
(a) Let x be the length of the sides of the original box. Then the volume of the box is x^3 = 216, so x = 6.
When the length, width, and height are all tripled, the new side length of the medium box is 3x = 18.
The ratio of the sides of the medium box to the original box is 18:6, or simplified, 3:1.
The area of the base of the original box is. [tex]x^2 = 6^2 = 36[/tex]square inches.
The area of the base of the medium box is. [tex](3x)^2 = 18^2 = 324[/tex] square inches.
The ratio of the 5832 of the bases of the medium box to the original box is 324:36, or simplified, 9:1.
The volume of the medium box is. [tex](3x)^3 = 18^3 = 5832[/tex]cubic inches.
The ratio of the volumes of the medium box to the original box is 5832:216, or simplified, 27:1.
(b) The volume of the medium box is 5832 cubic inches.
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Can someone help me asap? It’s due tomorrow.
Answer:
it A or B
Step-by-step explanation:
the other two C and D dont make sense to what the question is asking
9. A parenteral medication is to arrive through the mail. The label on the box states that the medication cannot be exposed to temperatures higher than 47. 8° C. The current outdoor temperature is 100. 2° F
The current outdoor temperature is 37.89°C, which is less than the highest temperature limit, i.e., 47.8°.
Both Celsius and Fahrenheit have different zero points and the temperature increments also vary quite differently. 100 degrees separate freezing and boiling on the Celsius scale, but for Fahrenheit the difference is 180 degrees. This means Celsius is 1.8 times larger than Fahrenheit.
To determine whether the medication has been exposed to temperatures higher than 47.8°C, we need to convert the outdoor temperature from Fahrenheit to Celsius. The conversion formula is:
°C = (°F - 32) x 5/9
Using this formula, we can get the temperature in Celsius form,
°C = (100.2 - 32) x 5/9
= 37.89°C
Since the outdoor temperature is lower than the maximum temperature the medication can be exposed to, it is safe to assume that the medication has not been exposed to temperatures higher than 47.8°C.
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an analysis of future events performed by the probability of those events and the potential outcomes is called
An analysis of future events performed by the probability of those events and the potential outcomes is called probabilistic analysis.
Probabilistic analysis involves using mathematical models and statistical techniques to estimate the likelihood of different outcomes, given a set of assumptions and inputs. It is commonly used in risk management, financial analysis, and project management to evaluate the potential impact of different scenarios and make informed decisions. By quantifying the probabilities of different outcomes, probabilistic analysis helps decision-makers identify the best course of action and manage uncertainty and risk.
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Which of the following choices describes the function?
an exponential function that is decreasing.
a quadratic function that is increasing then decreasing.
a quadratic function that is decreasing then increasing.
None of these choices are correct.
Answer: The function that is an exponential function that is decreasing is described as:
an exponential function that is decreasing.
A quadratic function that is increasing then decreasing would have a U-shaped graph, and a quadratic function that is decreasing then increasing would have an inverted U-shaped graph. However, neither of these options describes an exponential function that is decreasing.
Therefore, the correct choice is: an exponential function that is decreasing.
Step-by-step explanation:
a researcher wants to determine if extra homework problems help 8th grade students learn algebra. an 8th grade class is divided into pairs and one student from each pair has extra homework problems and the other in the pair does not. after 2 weeks, the entire class takes an algebra test and the results of the two groups are compared. to be a valid matched pair test, what should the researcher consider in creating the two groups?
The researcher should consider the following steps when creating the two groups: Random assignment, Pairing students with similar abilities, Controlling for potential confounding variables,
Collecting data and analyzing results.
Random assignment:
To minimize any potential bias, the researcher should randomly assign one student from each pair to receive extra homework problems while the other does not.
Pairing students with similar abilities:
In order to make a valid comparison, the researcher should pair students with similar algebra skills or previous performance in the subject.
This way, any observed differences in the test results are more likely to be due to the extra homework rather than differences in ability.
Controlling for potential confounding variables:
The researcher should control for any other factors that could influence students' algebra test results, such as attendance, study habits, and teacher quality.
After the two-week period, the researcher should collect the test scores of both groups and compare their performance.
This can be done using statistical methods, such as a paired t-test, to determine if there is a significant difference between the groups.
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what is the probability that at least one customer arrives at the shop during a one-minute interval? 0.736 0.368 0.632 0.264
Probability about at least one customer arrives at the shop while a one-minute interval is almost 0.632 or 63.2%.
How to calculate probability?The probability that at least one customer arrives at the shop during a one-minute interval can be calculated using the Poisson distribution, which is commonly used to model the arrival of events over a given time period.
Let's assume that the average number of customers arriving at the shop per minute is [tex]l[/tex]. Poisson probability mass function is;
[tex]P(X = k) = (e^{-l} * l^k) / k![/tex]
where X is the random variable representing the number of customers arriving in a one-minute interval, and k is the number of customers that arrive.
To find the probability of at least one customer arriving, we need to calculate the probability of X being greater than or equal to 1. That is,
[tex]P(X > = 1) = 1 - P(X = 0)[/tex]
When [tex]l[/tex] is relatively small, we can use approximation:
[tex]P(X = 0) = e^{-l[/tex]
Therefore,
[tex]P(X > = 1) = 1 - P(X = 0)[/tex]
[tex]≈ 1 - e^{-l[/tex]
We don't have the value of [tex]l[/tex], but assuming an average arrival rate of 1 customer per minute (i.e., [tex]l[/tex] = 1), we get:
[tex]P(X > = 1) = 1 - e^{-1[/tex]
≈ 0.632
Therefore, the probability about at least one customer arrives at the shop while a one-minute interval is almost 0.632 or 63.2%.
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Akira and Desmond order eggs for $4. 45, pancakes for $4. 05, and 2 mugs of cocoa for $1. 10 each. The tax is $0. 85. How much change should they get from $15. 00?
Answer:
$3.45
Step-by-step explanation:
an urn contains 14 balls, seven of which are red. the selection of a red ball is desired and is therefore considered to be a success. if a person draws three balls from the urn, what is the probability of two successes?
We get a probability of 3/8 or 0.375.
How to find the probability of two successes?To find the probability of two successes (i.e., drawing two red balls) out of three draws from an urn containing 14 balls (7 of which are red), we can use the binomial probability formula:
[tex]P(X = 2) = (n\ choose\ x) * p^x * (1-p)^{(n-x)[/tex]
where
n is the total number of draws (3 in this case),
x is the number of successes (2 in this case),
p is the probability of a success on any given draw (7/14 or 1/2 in this case),
and (n choose x) is the number of ways to choose x items out of n items.
Plugging in the values, we get:
[tex]P(X = 2) = (3\ choose\ 2) * (1/2)^2 * (1/2)^{(3-2)} = 3/8[/tex]
Therefore, the probability of getting two red balls out of three draws is 3/8 or 0.375.
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Please help, I’ve given up on trigonometry
Answer:
6.02
Step-by-step explanation:
sin 37=x/10
x/10=sin 37
x=10(sin 37)
x=6.02
KKIC
8. The area of a circle can be found using the formula A = (pi)r^2. Find the area of the circle with a radius of 3xy^3.
The area of circle is with radius 3xy³ is 9πx²y⁶.
What is area?Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2.
Define radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference. It is usually denoted by 'R' or 'r'.This quantity has importance in almost all circle-related formulas. The area and circumference of a circle are also measured in terms of radius. Circumference of circle = 2π (Radius)
area of circle=πr²
=π×(3xy³)²
=9πx²y⁶
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21. You are placing a circular drawing on a square piece of poster board. The poster board is 15 in wide. The part of the poster board not covered by the the function drawing will be painted blue. If the radius of the drawing is r, A = 225 - 3.14r^2 gives the area to be painted blue.
a. Graph the function.
b. What x-values make sense for the domain? Explain why.
c. What y-values make sense for the range? Explain why
(i need help)
a) The graph for the function [tex]A = 225 - 3.14r^2[/tex] is a downward sloping parabola.
b) The x-values make sense for the domain is a non-negative number.
c) The y-values make sense for the range is 0≤ A≤ 25.
What is graph?In mathematics, a graph is a collection of points, called vertices or nodes, and edges that connect pairs of vertices.
According to the given information:a. To graph the function [tex]A = 225 - 3.14r^2[/tex]. The graph should be a downward-sloping parabola, opening downwards.
b. The domain of the function represents the possible values of r. Since the radius of a circle cannot be negative, the x-values (or the values of r) that make sense for the domain are non-negative numbers, i.e., r >= 0.
c. The range of the function represents the possible values of A, the area to be painted blue. Since the poster board is 15 in wide, the maximum area that can be painted blue is 225 sq in (15 in x 15 in). Since the area of the circular drawing is given by [tex]3.14r^2[/tex], the area to be painted blue can be no greater than 225 sq in, which occurs when the circular drawing has a radius of 0. Therefore, the y-values (or the values of A) that make sense for the range are 0 <= A <= 225.
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Which sum is equivalent to 9c-12-15c-8-3c
The equivalent sum to the given equation is -9c - 20.
An algebraic expression is consists of variables, numbers with various mathematical operations.
Equivalent sums refers to addition or subtraction from the other number to maintain the same total value.
= 9c-12-15c-8-3c
To find the equivalent sum, first we can simplify this expression by first combining like terms:
= 9c - 15c - 3c - 12 - 8
= (9c - 15c - 3c) - (12 + 8) (grouping the like terms)
Solving the expression for terms c and for constant terms,
= -9c - 20
Therefore, the equivalent sum is -9c - 20.
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‼️WILL MARK BRAINLIEST‼️
Part A:
The correct answers are:
The data set is numerical data
The data in this set can be quantified in the form of numbers.
The set has an outlier
An outlier is an extreme value that differs from the rest of the set. The outlier in this set is 5.
A box plot is an appropriate data display for this data
A box plot is great for showing distribution of data. A circle chart would not be good for this set because circle charts are better for part-to-whole data.
Part B:
A: Students in his class have between 5 to 950 photos stored on their cell phones.
The text at the top explains that this data was gathered from students in Shamar's class, and the data ranges from 5 to 950.