The total surface area is 46.43 square centimeter.
What is surface area?The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.
Given that, the area of the rectangle is 34.56 cm².
Here, the diameter is 2.75 cm, so radius =2.75/2=1.375 cm
Cylinder is made up of 1 rectangle and 2 circles.
Now, area of 2 circles =2πr²
= 2×3.14×1.375²
= 11.87 cm²
So, total surface area = 34.56+11.87
= 46.43 cm²
Therefore, the total surface area is 46.43 square centimeter.
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A certain parrot medicine comes in 5
gram bottles. If Natalie buys one
bottle of the medicine, how many
milligrams of medicine will she have?
[?] mg
Hint: 1 g = 1,000 mg
Expand and simplify 2(3t+4)+3(2t+6)
Pls help i need this by the end of today
The average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.
What is the average rate of change?The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.
Given that, the total cost to produce by James shirts is represented by a function, f(x) = 5x²+6.
We are to find the average rate of change of the total cost as his shirt production increases from 10 to 20.
The average rate of change is given by =
f(b) - f(a) / b-a, where a and b are given intervals,
Here, we have, a = 10 and b = 20
f(b) = 5(20)²+6 = 2006
f(a) = 5(10)²+6 = 506
The rate of change =
2006 - 506 / 20-10
= 1500 / 10
= 150
Hence, the average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.
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f(x)=-(x+3)(4x-5)(x-1)
The x-intercepts of the function f(x) are (-3,0), (5/4,0), and (1,0).
What is a function?A relation is a function if it has only One y-value for each x-value.
To find the x-intercepts of the function f(x) = -(x+3)(4x-5)(x-1), we need to set f(x) equal to zero and solve for x:
f(x) = -(x+3)(4x-5)(x-1) = 0
Since the product of three factors is zero if and only if one or more of the factors is zero, we can set each factor equal to zero and solve for x:
x+3 = 0 => x = -3
4x-5 = 0 => x = 5/4
x-1 = 0 => x = 1
Therefore, the x-intercepts of the function f(x) are (-3,0), (5/4,0), and (1,0).
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7. Margo can read 22 pages in 30 minutes.
How long would it take her to read a 100-page book?
Answer: x = 136.4 minutes
Step-by-step explanation:
x = (100/22)(30) minutes = 136.4 minutes
1) Lena's garden is a square with sides of length x meters. Next spring, she plans to make it rectangular by lengthening one side 5 meters and shortening the other side by 5 meters. a) What algebraic expression represents the new area? b) By how much will the area of the new garden differ from that of the old garden
Answer:
a) Algebraic expression for new area = (x + 5)(x - 5 )
b) New area will be 25 square meters less than old area
Step-by-step explanation:
Lena' s square garden with side x has area x times x or x² square meters
If one side is lengthened by 5 meters that side becomes x + 5 meters
If the other side is shortened by 5 meters that side becomes x - 5 meters
New area = (x + 5)(x - 5 )
Using the identity(a + b)(a - b) = a² - b² we get
(x + 5)(x - 5 ) =x² - 5²
= x² - 25
Area difference square - rectangle =
x² - (x² - 25) = x² - x² + 25
= 25
So the area will decrease by 25 square meters
Find half of the time that Arnold skied without falling, and write inequalities to compare it with the times others in the family skied without falling
The half of the time that Arnold skied without falling is 712 as 2 x 356=712>223 .
Inequality is a mathematical statement that illustrates the connection between two expressions by using the inequality symbol. The phrases on both sides of an inequality sign are distinct. It indicates that the left expression should be larger or smaller than the right expression, or vice versa. When the link between two algebraic expressions is expressed using inequality symbols, literal inequalities arise.
The discrepancy represents the incident in which Kelvin skied for more than twice as long as anybody else in his family:
2f < 223
Here 223 is the time for Kelvin.
Check for Lori as follows:
2f < 223
2 x 55=110 < 223
Kelvin skied without falling more than twice as long as Lori.
Check for Vanessa as follows:
2f < 223
2 x 265=530>223
Check for Arnold as follows:
2f < 223
2 x 356=712>223
Kelvin skied without falling less than twice as long as Arnold.
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Complete question:
Kelvin wants to know whether he skied without falling more than twice as long as anyone else in his family. His dad tells him that he can check by using the inequality 2f < 223, where f is the time skied in seconds for each person. Plug the values for the time skied by each person into the inequality to find the answer.
Lori 55
Vanessa 265
Devon 172
Celia 112
Arnold 356
find the first 4 terms of the arithmetic sequence on the graph
Answer:
-3, 1, 5, 9
Step-by-step explanation:
Read the y-coordinate of each point.
It cost Nevaeh $5.39 to send 77 text messages. How much does it cost to send one text
Answer:
$0.07
Step-by-step explanation:
We know
It cost Nevaeh $5.39 to send 77 text messages.
How much does it cost to send one text?
We take
5.39 / 77 = $0.07 per text
So, it costs $0.07 to send one text.
It costs Nevaeh $0.07 to send one text message.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
To find out how much it costs to send one text message, we can divide the total cost by the number of messages:
Cost per message = total cost/number of messages
In this case, the total cost is $5.39 and the number of messages is 77, so:
Cost per message = $5.39 / 77 = $0.07
Therefore, it costs Nevaeh $0.07 to send one text message.
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the test statistic of z is obtained when testing the claim that p. a. identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. find the p-value. c. using a significance level of , should we reject or should we fail to reject ?
a. The hypothesis test is right-tailed.
b. The P-value is 0.2525.
c. Using a significance level of a = 0.01, we fail to reject the null hypothesis .
a) The hypothesis test is right-tailed because the alternative hypothesis is p > 0.4.
b) To find the P-value, we need to use a standard normal distribution table or a calculator. Since the test statistic is positive, we look for the area to the right of z = 0.67. Using a standard normal distribution table or a calculator, we find that the area to the right of z = 0.67 is 0.2525. This is the P-value.
c) Using a significance level of a = 0.01, we compare the P-value to the significance level. The P-value is greater than the significance level, so we fail to reject the null hypothesis . There is not enough evidence to support the claim that p > 0.4 at the 1% significance level.
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The given question is incomplete, the complete question is :
The test statistic of z = 0.67 is obtained when testing the claim that p>0.4. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.01, should we reject null hypothesis or should we fail to reject null hypothesis?
Latrell wants to buy a car but only has half as much money as he needs. If Latrell deposits the money into a savings account that earns 6.3% interest compounded quarterly, how long will it take for his money to double?
The number of years will take for his money to double is 10.87 years
Let's assume the amount of money Latrell needs to buy the car "P". Since Latrell only has half of that amount, we can say that he has 0.5P. We want to find out how long it will take for Latrell's money to double, so we want to solve for the time "t" in years.
We can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount of money (in this case, 2P, since we want to find out how long it takes for Latrell's money to double)
P = initial amount of money (0.5P, since that's what Latrell has now)
r = annual interest rate (6.3%)
n = number of times the interest is compounded per year (4, since it's compounded quarterly)
t = time (in years)
Substituting in the values we know, we get:
2P = 0.5P(1 + 0.063/4)^(4t)
Simplifying, we can divide both sides by 0.5P:
4 = (1 + 0.063/4)^(4t)
Taking the natural logarithm of both sides, we get:
ln(4) = 4t ln(1 + 0.063/4)
Dividing both sides by 4 ln(1 + 0.063/4), we get:
t = ln(4) / (4 ln(1 + 0.063/4))
t ≈ 10.87 years
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can someone help me with this?
Answer:
The roots of the equation
[tex]x^{3}-10x^{2}+31 x-30 = 0[/tex]
correspond to the x-intercepts of the function graph
Step-by-step explanation:
The roots of the equation
[tex]x^{3}-10x^{2}+31 x-30 = 0[/tex]
are x = 2, x = 3, x = 5
which are located at points (2, 0), (3, 0), (5,0)
These points are the x-intercepts of the graph of the equation
So the x-intercepts of the equation are the roots of the equation
I have graphed this using Geogebra which I am familiar with. You should probably use Desmos as per the instructions
find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.
The given function is solved using the power rule. The nth derivative of the given function f(x)=xⁿ is [tex]f^{(n)}(x) = n!x^{n-n }= n![/tex].
The power rule instructs how to differentiate xⁿ. It is used to determine the slope of polynomial functions as well as any other function with a real number exponent.
The given function is considered a power function. This is because the x is raised to the power (n). This n is considered a real number. So the derivative of this function is derived using the power rule.
First, differentiating the given function as follows,
[tex]\begin{aligned}f'(x)&=nx^{n-1}\\f''(x)&=n(n-1)x^{n-2}\\f'''(x)&=n(n-1)(n-2)x^{n-3}\end{aligned}[/tex]
So observing the pattern, the nth derivative is found as follows, [tex]f^{(n)}(x) = n!x^{n-n }= n![/tex]
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The complete question is -
Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.
f(x)=xⁿ
A math teacher is investigating a new type of pencil eraser to determine if it reduces the amount of paper tears compared to a current popular brand.
Part A: Which of the following design is most appropriate: observational study, experiment, census, or sample survey? Explain your reasoning. (3 points)
Part B: Explain how you would implement the design you selected in Part A. (4 points)
Part C: Explain one benefit your design would provide. (3 points)
Answer:
Part A: The most appropriate design for this investigation would be an experiment. An experiment is the best choice because it allows the teacher to compare the two erasers under the same conditions, which will make it easier to determine if the new eraser reduces paper tears.
Part B: To implement the design, the teacher can set up an experiment by dividing a group of students into two groups. Each group should use the same type and amount of paper, and be given instructions to erase the same number of mistakes. One group should then use the current popular brand of eraser, while the other group should use the new eraser. After the test is completed, the teacher can count the number of paper tears in each group and compare the results.
Part C: One benefit of this design is that the results are more likely to be objective and reliable. By having a controlled experiment, the teacher can be sure that any differences observed are due to the erasers, and not any other factors.
What is the conversion of 39 degrees c to f ?
The converted value from Celsius to Fahrenheit is given by 39 Celsius is equal to 102.2 Fahrenheit.
Units represents the measure of the temperature in standard form Celsius and Fahrenheit .
Formula relates the Celsius and Fahrenheit are equal to
(°C × 9/5) + 32 =°F
Now, Substitute the value 39 Celsius which required to convert into Fahrenheit we have,
(39°C × 9/5) + 32
= ( 351 / 5 ) + 32
= ( 70.2 ) + 32
= 102.2°F
Therefore, the converted value from Celsius to Fahrenheit for the given 39 Celsius is given by 102.2 Fahrenheit.
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The above question is incomplete, the complete question is:
What is the conversion of 39 degrees Celsius to °F ?
Graph and put into slope intercept form
4x-3y>12
Answer:
The equation 4x - 3y > 12 can be graphed by finding two points that satisfy the inequality. For example, you could use the points (0, 4) and (3, 0). Then, you can plot the points on a graph and draw the line that passes through them. This line is the graph of the inequality. You can also put the equation into slope-intercept form by rearranging the equation to y = (4/3)x - (4/3). The graph of y = (4/3)x - (4/3) is the same as the graph of the original inequality.
Do YOU currently have earned or unearned income? Where do you get this money from?
Answer:
Earned Income
Step-by-step explanation:
I get this money from chores I do around the house and my side job of selling sandwiches to my classmates (this is just an example you can personalize it)
y=3(x-1)^2-8 in standerd form
Answer:
y=3x^2-6x-5
Step-by-step explanation:
what is 2pm in military time?
To convert 2 pm in the 12-hour clock format to military time, we add 12 to the hour to get 14, and the minutes remain the same, resulting in a military time of 14:00pm.
In military time, the day is divided into 24 hours, starting from midnight (00:00 hours) and ending at 23:59 hours. Each hour is numbered from 0 to 23, instead of repeating the numbers from 1 to 12 twice in a day.
Military time uses a four-digit number to represent the time, where the first two digits represent the hour and the last two digits represent the minutes.
To convert 2 pm in the 12-hour clock format to military time, we need to add 12 to the hour since 2 pm is in the afternoon and military time does not use the "am" or "pm" designations.
So, 2 pm in military time would be 14:00 hours, where 14 represents 2 pm in the 24-hour clock format.
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ABCD is parallelogram and angle a=60° find the remaining angles
The remaining angles of the parallelogram are 60°, 120°, and 120°.
In a parallelogram, opposite angles are equal and consecutive angles are supplementary. This means that:
- Angle A = Angle C
- Angle B = Angle D
- Angle A + Angle B = 180°
- Angle C + Angle D = 180°
Given that angle A = 60°, we can use the above properties to find the remaining angles:
- Angle C = Angle A = 60°
- Angle B + Angle A = 180° => Angle B + 60° = 180° => Angle B = 180° - 60° = 120°
- Angle D = Angle B = 120°
Therefore, the remaining angles of the parallelogram are 60°, 120°, and 120°.
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Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b
Answer: C
Step-by-step explanation:
the value of a remains the same
2. Cornerstone High School has 1860 students.
45% of the students bike or walk to school.
372 students drive to school.
•The remaining students travel to school by bus.
How many students travel to school by bus?
a.651
6.837
c.1209
d.1443
Answer:
a. 651
Step-by-step explanation:
To solve the problem, you can start by finding out how many students bike or walk to school by multiplying the total number of students by the percentage that bike or walk:
1860 x 0.45 = 837
Next, you can subtract the number of students who drive to school to find out how many students travel by bus:
1860 - 837 - 372 = 651
Therefore, the answer is 651, so the option (a) is correct.
Answer:
a. 651
Step-by-step explanation:
We first need to find the number of students that bike or walk.
We can do this by plugging the numbers into this equation:
[tex]\frac{is}{of} = \frac{percent}{100}[/tex]
We know that the percent is 45, and we know the total amount of students, 1860, so we are solving for is.
[tex]\frac{x}{1860} = \frac{45}{100}[/tex] where x = is.
To solve this, we cross multiply:
1860(45) = 100x
83,700 = 100x
837 = x
Now we know that 837 students bike or walk, and 372 drive.
We can calculate how many students travel by bus by subtracting these numbers from the total number of students, 1860.
1860 - 837 - 372 = 651
Therefore, 651 students travel to school by bus.
What is the area of the circle in the figure below ?
Answer:
100[tex]\pi[/tex]
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
The diameter is 20,. The radius is 1/2 of the diameter.
A = [tex]\pi 10^{2}[/tex]
A = [tex]\pi 100[/tex]
Answer:
Step-by-step explanation: That is actually the hidden number that is on the other side of the circle so it says how or what numbers is on the hidden circle so good luck finding the number
A random number generator is used to select an integer from 1 to 3 inclusive. What is the difference between the estimated probability that a 3 is generated and the actual probability that a 3 is generated?
Answer: The estimated probability of generating a 3 using the random number generator is 1/3, since there are 3 possible outcomes and each is equally likely.
The actual probability of generating a 3 is also 1/3, since the generator is equally likely to generate any of the 3 possible integers.
Therefore, the difference between the estimated and actual probability of generating a 3 is:
1/3 - 1/3 = 0
So there is no difference between the estimated and actual probability of generating a 3.
Step-by-step explanation:
Henrietta is adding music to her slide presentation. She has selected six songs. The playing times of the songs are listed below.
2 minutes 13 seconds
3 minutes 15 seconds
3 minutes 18 seconds
3 minutes 5 seconds
2 minutes 13 seconds
2 minutes 40 seconds
Henrietta will choose one song at random to be first in the presentation. Which phrase best describes the likelihood that she will choose a song lasting exactly 2 minutes 13 seconds?
Answer:
there is a chance of 33.33% that she picks a song of 2min and 13sec
Answer:B.
Step-by-step explanation:
The actually answer is B. Equal to the likelihood of choosing a song that lasts 3 minutes 15 seconds
Please answer the following question.
For dinner, Javier will choose one of the four fish options and one of the three side dishes.
(a) Here's a tree diagram for the sample space of all dinner combinations:
The Tree DiagramFish
/ | \
/ | \
Salmon Trout Halibut
/ | \ / | \ / | \
Fries Carrots Coleslaw Fries Carrots Coleslaw
(b) To determine the total number of dinner combinations, we can multiply the number of fish options by the number of side dish options:
3 fish options * 3 side dish options = 9 dinner combinations
Therefore, Javier has 9 choices for dinner combinations.
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For dinner, Javier will choose one of three fish options and one of three side dishes. His choices for fish are salmon, trout, and halibut. His choices for side dishes are fries, cooked carrots, or coleslaw.
(a)Draw a tree diagram for the sample space of all dinner combinations.
(b)How many choices for dinner combinations does Javier have?
Answer:
what is null space calculator online
A null space calculator finds the null space of a matrix used in linear algebra.
An invalid space mini-computer is a web-based instrument used to track down the invalid space, otherwise called the portion, of a framework. The invalid space of a framework is the arrangement of all vectors that fulfill the condition Ax= 0, where An is the lattice and x is the vector of questions. The invalid space can be utilized to decide if an arrangement of straight conditions is steady or not, and to find the reason for the arrangement space. An internet based invalid space number cruncher permits clients to enter a network and get the invalid space, as well as different properties like the position, determinant, and eigenvalues of the framework. This can be helpful for understudies and experts in fields like science, physical science, and designing who need to address frameworks of straight conditions and dissect the properties of networks.
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Last year's local parade had 114 participants,
which is 27 less than this year's parade. Write
and solve an equation to find the number of
participants in this year's parade
The number of participants in this year's parade are 141 which is 27 more than last year's parade.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question, Last year's local parade had 114 participants, which is 27 less than this year's parade.
Let number of participants in this year's parade = x
Number of participants in last year = 114
So, according to the question:
x - 27 = 114
x = 114 + 27
x = 141
So, the number of participants in this year's parade = 141
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How many lbs is 90 kg?
90 kilograms(kg) are about equivalent to 198.416 lbs (pounds).
To convert 90 kilograms to pounds, you may use the conversion factor of 2.20462 pounds per kilogram. 90 divided by 2.20462 results in:
90 kg x 2.20462 pounds per kilogram = 198.416 pounds (rounded to three decimal places)
= 198.416 lbs
Kilogram (kg) and pound (lbs) are units of mass or weight. The kilogram is the base unit of mass in the International System of Units (SI), while the pound is a commonly used unit of mass or weight in the imperial system of measurement.
One kilograms is equivalent to 2.20462 pounds. Conversely, one pound is approximately equal to 0.453592 kilograms. To convert from kilograms to pounds, you can multiply the number of kilograms by 2.20462, and to convert from pounds to kilograms, you can divide the number of pounds by 2.20462.
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i absolutely hate khan academy help
Answer:
i do to and i need help but its not helpingggg
Step-by-step explanation: