Answer:
D)
Step-by-step explanation:
Use desmos in the future to help you determine if all of those coordinate make a straight line.
Find the surface area. Use 3.14 for pie
Answer:
3,165.12 square meters
Step-by-step explanation:
To find the surface area of a cylinder, first separate the shapes you must find the area of. In this case, you need to find the areas of two circles and one rectangle (the height).
The two circles can be found using the equation: a = pi(r^2). r means radius!
12 squared is 144, which, multiplied by pi, is 452.16 square units. Because there are two circles, you can multiply this area by two to get the area of both: 904.32.
The rectangle can be found by multiplying the circumference of the circle by the height of the cylinder. The circumference can be found with the equation: c = 2pi(r). The circumference of this cylinder's base is 75.36, which, multiplied by the height of the cylinder, is 2,260.8.
Now that you have both the area of the circles and the side, you can add them both together and get the surface area.
A Car travels 42 km
On 7 litres of petrol. How long will it travel
on 12 litres of petrol.
Answer:
The answer is 72
Step-by-step explanation:
You'll do 42 divided by 7 times 2
42/7x2
Hope it helps.
A car travels 72 km on 12 liters of petrol.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
A Car travels 42 km on 7 liters of petrol.
Now,
Since, On 7 liters of petrol a car travel 42 km
Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7
= 6 km
So, On 12 liters of petrol distance cover by a car = 6 × 12
= 72 km
Thus, A car travels 72 km on 12 liters of petrol.
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when joselyn went to the store she bought 2.7 kg of chocolate candy. what would joselyn do to find out how many grams she bought?
Using the conversion factor, Joselyn bought 2700 grams of chocolate candy
A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.
To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.
So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor
2.7 kg x 1000 g/kg = 2700 g
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the Marked price of watch is rupees 12000 discount of 15% is allowed and 10% VAT is added on it find the selling price of a watch with VAT
Step-by-step explanation:
selling price after 15%discount
=12000-(15/100)*12000
=12000-1800
=10200
after 10% VAT
S.P=110% of 10200
=(110/100)*10200
=11220
You similar triangles to solve a person is 6 feet tall is standing 154 feet from the base of a tree and the tree cast 165 foot shadow the person shadow is 11 feet in length what is the height of the tree
Answer:
The height of the tree is 90 feet.
Step-by-step explanation:
Assign variables:
P = 6 (height of the person)
PS = 11 (length of the person's shadow)
TS = 165 (length of the tree's shadow)
T = unknown (height of the tree)
Set up the proportion:
P / PS = T / TS
Substitute values:
6 / 11 = T / 165
Cross-multiply:
6 * 165 = 11 * T
Simplify:
990 = 11T
Solve for T:
T = 990 / 11
Calculate:
T ≈ 90
Consider a variant of the hamburger and figs example from class. Rachel has $50 in income, the price per hamburger is $3 and the price per bag of figs is $2. a) Write out an expression for Rachel's budget line. Sketch a graph, with hamburgers on the x axis. b) Suppose the price of figs increases to $3. Write out the new budget line equation and illustrate in your graph. c) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Rachel also receives $10 in cash from a friend. Write out a new budget line equation and illustrate in a graph. d) Suppose income is $50, the price per hamburger is $3 and the price per bag of figs is $3. Instead of cash, Rachel's friend gives her a gift basket containing 3 free bags of figs. Sketch Rachel's new budget line? Has the slope of the budget line changed? Can you write out a new budget line equation?
a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
a) Rachel's budget line equation can be written as follows:
Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)
Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:
Budget = 3x + 2y
Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.
b) If the price of figs increases to $3, the new budget line equation becomes:
Budget = 3x + 3y
The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.
c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:
Budget = (3x + 3y) + 10
The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.
d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:
Budget = (3x + 3y) + 10
However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.
In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.
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What is the area of a rectangle with a length of 5/8 foot and a width of 4/9 foot?
Answer:
0.27777777777
What is the measure of ∠4? Enter your answer in the box.
Answer:
59
Step-by-step explanation:
Find the value of x (7TH GRADE MATH)
Answer:
the answer is 5
Step-by-step explanation:
a right angle has a total of 90 degrees
so you subtract 65 from 90 and get 25
that is the total degrees in the rest of the angle
then you would have to divide 25 by 5
leaving you with 5
Pre-Calculus ..........................
Answer:
Sorry about the incorrect answer
A researcher measures the relationship between two variables, X and Y. If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then what is the value of the correlation coefficient?
A) 0.32
B) 0.34
C) 0.60
D) almost a zero correlation
The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
Given that a researcher measures the relationship between two variables, X and Y.
If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.
Correlation coefficient:
The correlation coefficient is a statistical measure that determines the degree of association between two variables.
It is denoted by the symbol ‘r’.
The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.
How to calculate correlation coefficient?
The formula to calculate the correlation coefficient is as follows:
r = SS(XY)/√[SS(X)SS(Y)]
Now, substitute the given values, we get:
r = 340/√[320000]r = 0.34
Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
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Find two functions F and g such that h(x) can be expressed as the function indicated. Several answers are possible. h(x) = 3x = x^2; f - g {f(x), g(x)} =
h(x) can also be expressed as f(x) - g(x) where f(x) = 3x and g(x) = x² - 3x.
What is function ?
A function is a mathematical rule or relationship between two sets of objects, often called the input and output, that assigns each input value exactly one output value. In other words, a function is a set of ordered pairs, where each input has only one output value.
For example, the function f(x) = 2x assigns to each value of x its double. If we put in x=1, the output is f(1) = 2(1) = 2. If we put in x=2, the output is f(2) = 2(2) = 4. Each input value has exactly one corresponding output value, which is the definition of a function.
Functions are often represented as graphs, with the input values on the x-axis and the output values on the y-axis. The graph of a function is a visual representation of the set of ordered pairs that define the function.
To express h(x) = 3x = x² as f - g, we need to find two functions f(x) and g(x) such that f(x) - g(x) = h(x).
One possible way to do this is to let f(x) = x² + 3x and g(x) = x². Then we have:
f(x) - g(x) = (x² + 3x) - x² = 3x = x² = h(x)
Therefore, h(x) can be expressed as f(x) - g(x) where f(x) = x² + 3x and g(x) = x².
Another possible way to do this is to let f(x) = 3x and g(x) = x² - 3x. Then we have:
f(x) - g(x) = 3x - (x² - 3x) = 6x - x² = h(x)
Therefore, h(x) can also be expressed as f(x) - g(x) where f(x) = 3x and g(x) = x² - 3x.
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what is 28=-k+16-2k-9
Answer:
k = -7
Step-by-step explanation:
Let's put the side with the variables on the left.
-k+16-2k-9=28
Now we need to isolate the variable, which is k in this case.
>> Isolating the variable <<Step 1: Simplify as much as you can.-k+16-2k-9=28
-k-2k+16-9=28
-3k+7=28
Step 2: Subtract 6 from both sides(-3k+5) -7 = 28 -7
-3k = 21
Step 3: divide both sides by -3k = -21/3
That's your answer:
k = -7
What are angles <3 and <4 ?alternate interior angles
alternate exterior angles
vertical angles
corresponding angles
5x-7-2x=10 what is x equaled to
HELP ASAP!!!!
Answer:
x=-1
Step-by-step explanation:
5x-2x-7=-10
3x-7=-10
3x-7+7=-10+7
3x=-3
x=-1
\(\text{Hey \: there!}\)
\(\text{5x - 7 - 2x = 10}\)
First you'll have to COMBINE all of your like terms\(\bf{(5x - 2x) \: which \: gives \: us \: 3x}\)
New equation becomes: \(\bf{3x - 7 = 10}\)Add by 7 on your sides\(\text{3x - 7 + 7 = 10 + 7}\)
Cancel out\(\bf{ - 7 + 7 \: because \: it \: gives \: you \: 0}\)
\(\bf{10 + 7 = 17}\)
New equation: \(\bf{3x = 17}\)Divide by 3 on both sides\( \frac{3x}{3} = \frac{17}{3} \)
Cancel out \( \frac{3x}{3} \: \bf{because \: it \: gives \: you \: 1 \: and \: not \: x \: }\)\(\text{we \: cant \: divide \: 17 \: from \: 3 \: because \: itll \: give \: us \: a \: decimal}\)
\(\boxed{\bf{thus \: your \: answer \: is \: \bf{ \frac{17}{3} }}}\)
Good luck on your assignment and enjoy your day!~
\(\frak{loveyourselffirst:)}\)
how to pass a multiple choice math test without studying?
Answer:
Imposible!
Step-by-step explanation:
When it comes to passing a multiple choice math test without studying, it is important to understand that studying and preparation are key factors in achieving success. However, if you find yourself in a situation where you haven't had the opportunity to study, there are still some strategies you can employ to increase your chances of passing the test. Familiarize yourself with the format of multiple choice questions, read the questions carefully, eliminate obviously incorrect options, use the process of elimination, make educated guesses, and manage your time effectively. While these strategies may improve your chances of passing the test, it is important to note that studying and preparation are essential for long-term success in mathematics.
When it comes to passing a multiple choice math test without studying, it is important to understand that studying and preparation are key factors in achieving success. However, if you find yourself in a situation where you haven't had the opportunity to study, there are still some strategies you can employ to increase your chances of passing the test.
Familiarize yourself with the format of multiple choice questions: Understanding how multiple choice questions are structured can help you approach them more effectively. Pay attention to the number of options, the way the questions are phrased, and any patterns you notice.Read the questions carefully and eliminate obviously incorrect options: Take your time to read each question carefully and eliminate any options that are clearly incorrect. This can help you narrow down your choices and increase your chances of selecting the correct answer.Use the process of elimination to narrow down your choices: If you're unsure about the correct answer, use the process of elimination. Cross out options that you know are incorrect, which will increase your chances of selecting the right answer.Make educated guesses based on your understanding of the topic: Even without studying, you may have some prior knowledge or understanding of the topic. Use this knowledge to make educated guesses when you're unsure about the correct answer.Manage your time effectively: Multiple choice tests are often timed, so it's important to manage your time effectively. Pace yourself and ensure you have enough time to answer all the questions.While these strategies may improve your chances of passing the test, it is important to note that studying and preparation are essential for long-term success in mathematics.
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3.4 x 10^3 in standard notation
Answer:3400
Step-by-step explanation:
Answer:
3240
Step-by-step explanation:
3.24
×
10
3
=
3.24
×
1000
This means you move the decimal spot 3 digit spaces to the right.
Count 3 spaces:
3.2.4.0 →
3240
So then your number becomes
3240
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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guys please help this is a math question
Answer:
81.5
Step-by-step explanation:
<G and <H are congruent
<F and <I are congruent
so the last two angles in both triangles must also be congruent
this means that <K and <J are congruent
so we can create this equation: <K = <J
substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40
add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)
you get: 20 = \(y^{2}\)
root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)
you get: y ≈ 4.5
substitute this into one of the equations for a missing variable:
6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40
6 ( 20.25) - 40
121.5 - 40
81.5
Please answer it now
Answer:
Angle B
Step-by-step explanation:
I sought out the shortest side (which happens to be 39 km), which is opposite the smallest interior angle (Angle B).
Write the equation of a circle with its center at the origin and passes through the
point (5,0)
AND ALSO!!
Write the equation of a circle of with the center (2,3) and containing the point (3,2)
please and thank you ! :)
The equation of a circle with its center at the origin and passes through the point (5,0): x2+y2=25
the equation of a circle of with the center (2,3) and containing the point (3,2): x2+y2=2
What is Origin ?Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.
(x-h)^2+(y-k)^2=r2
is the equation for a circle with center (h,k) and radius (r).
This yields the more well-known equation
x2+y2=r2
for a circle centered at the origin.
Since we are aware that the circle's center is at its origin, i.e.
This fact, together with the circle's intersection point (5,0), can be used to determine the radius. The distance formula is used for this.
r=√(x2−x1)^2+(y2−y1)^2
In light of (0,0) and (5,0):
r=√(5−0)^2+(0−0)^2
=√25+0
√25=5
⇒ r=5
Therefore, x^2+y^2=(5)^2
x2+y2=25 is the equation for the circle.
(x-h)^2+(y-k)^2=r2 is the equation for a circle with center (h,k) and radius (r).
This yields the more well-known equation x2+y2=r2 for a circle centered at the (2,3).
Since we are aware that the circle's center is at (2,3), i.e.
This fact, together with the circle's intersection point (3,2), can be used to determine the radius. The distance formula is used for this.
r=√(x^2−x1)^2+(y2−y1)^2
In light of (2,3) and (3,2):
r=√(3−2)^2+(2−3)^2
r = √(1)^2+(-1)^2
= √1+1
=√2
⇒ r=√2
Therefore, x2+y2=(√2)^2
x2+y2=2 is the equation for the circle.
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10.4 For the following situation. fal determine which evatuation nethod is probably the cusiese and lasitest (o apply hy hand and hy eomputer in order 10 selece from the five allematives, and (h) thst
Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.
Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.
To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.
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Analyze the diagram below and complete the instructions that follow.
/
Find the value of x.
A.
4
B.
5
C.
6
D.
9
Please select the best answer from the choices provided
A
B
C
D
The value of x will be 4 , Option A is the answer.
What is a Right Angled Triangle ?A triangle that has one angle as 90 degree is called a Right angled Triangle.
In a right angled triangle
the length of the sides can be determined using Pythagoras Theorem
The length of the side is given in the image attached as
x-2 , x , √20
Hypotenuse ² = Perpendicular² + Base²
(√20)² = x² + (x-2)²
20 = x² + x² +4 -4x
2x²-4x -16 = 0
x² -2x -8 = 0
x² - 4x +2x -8 = 0
x (x-4) +2(x-4) = 0
(x+2)(x-4) = 0
x = -2 , 4
The value of x will be 4 .
Therefore Option A is the answer.
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Graph the inequality
Answer:
the last option is correct
PLEASE HELP!!! The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?
Answer:
The volume is multiplied by 8.
Step by step explanation:
Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.
The volume of a right rectangular prism with length l, width w, and height h is V=lwh.
Therefore, the volume of the original prism is lwh.
The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.
To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.
V=2l·2w·2h
Simplify.
V=8lwh
The new volume is 8lwh.
If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.
Therefore, the new volume is the original volume multiplied by 8.
2) Circle each equation that represents a proportional relationship. 120 - x = L CA 1.08p =t т X = 4 V = 12s2 =
ANSWER
1.08p = t
x = m/4
V = 12s^2
EXPLANATION
The proportional relationship between the quantity y and the quantity x has a constant of proportionality k and is expressed by the equation y = kx. If the equation can be rewritten in other forms as above, it is proportional.
Equation 1.
120 - x = L.
This cannot be rewritten as y = kx
Equation 2:
1.08p = t
This can be rewritten as y = kx
Equation 3
x = m/4
This can be rewritten as y = kx
Equation 4
V = 12s^2
This can be rewritten as y = kx
Hence, 1.08p = t, x = m/4 and V = 12s^2 equations represent proportional relationships.
What value of n makes the statement true?
6xn· 4x2 = 24x6
Answer:
4
Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.
Answer:
N= 4
C=5
T=22
K=1
Step-by-step explanation:
Edge 2021
A family decides to have children until it has three children of the same gender. assuming p(b) = p(g) = 0. 5, what is the pmf of x = the number of children in the family?
The pmf provides the probabilities of having 1, 2, or 3 children in the family based on the condition that the family stops having children once it has three children of the same gender.
To find the probability mass function (pmf) of the number of children in the family, we need to consider the possible values of x (the number of children) and their corresponding probabilities.
Let's analyze the possibilities:
1. x = 1 (only one child): The probability of having either a boy or a girl is 0.5. Therefore, P(x=1) = P(B or G) = 0.5.
2. x = 2 (two children): The possible outcomes are BB, GG, or BG (in any order). Each of these outcomes has a probability of 0.5 * 0.5 = 0.25. Therefore, P(x=2) = P(BB or GG or BG) = 0.25 + 0.25 + 0.25 = 0.75.
3. x = 3 (three children): The only outcome that satisfies the condition is BBB or GGG (in any order). Each of these outcomes has a probability of 0.5 * 0.5 * 0.5 = 0.125. Therefore, P(x=3) = P(BBB or GGG) = 0.125 + 0.125 = 0.25.
From the above analysis, we have:
P(x=1) = 0.5
P(x=2) = 0.75
P(x=3) = 0.25
To summarize, the pmf of x (the number of children in the family) is:
P(x=1) = 0.5, P(x=2) = 0.75, P(x=3) = 0.25.
The pmf provides the probabilities of having 1, 2, or 3 children in the family based on the condition that the family stops having children once it has three children of the same gender.
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A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), "Where do you live now? That is, where do you stay most often?" Here is the full two-way table (omitting a few who refused to answer and one who claimed to be homeless): Femal Mal e 986 132 Parents' home Another person's home Own place Group quarters 1129 2. What is the most important reason that students buy from catalogs? The answer may differ for different groups of students. Here are results for separate random samples of ad Aslan students at a large mid-western university:
The main reason students buy from catalogs varies depending on the group, with factors such as convenience, access, variety.
What factors influence young adults' living situations?The reason of two-way table provided shows the distribution of young adults' living situations based on their gender. Out of 1118 females, 986 live in their parents' home, and 1129 out of 1330 males live in their own place. This information provides insights into the current living situation of young adults, which is valuable for policymakers and marketers.
Policymakers can use this data to develop programs that cater to the needs of young adults living in group quarters, while marketers can use this information to tailor their products to young adults living independently or in other people's homes.Regarding the reason why students buy from catalogs, the answer may differ based on different groups of students. For example, some students may buy from catalogs because of convenience, while others may do so because of a lack of access to physical stores.
Additionally, some students may prefer buying from catalogs because of the wider variety of products available, while others may do so because of the competitive pricing. To determine the most important reason why students buy from catalogs, it may be necessary to conduct a more in-depth study that considers factors such as age, gender, income level, and personal preferences.
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What is the solution to 85<-5x+5?
A. x < 16
B. x > 16
C. x < -16
D. x > -16
Answer:C. x < -16
Step-by-step explanation: