Answer: 5966cm³
Step-by-step explanation:
The volume of a cylinder is calculated using the formula:
Volume = πr²h
where, π = 3.14
radius = 10cm
Height = 19cm
Volume = πr²h
= 3.14 × 10² × 19
= 3.14 × 100 × 19
= 5966.00cm³
What is the midpoint between (5,1) and (-1,4)
Answer:
2, \(\frac{5}{2}\)
Step-by-step explanation:
Given parameters:
Coordinates = (5,1) and (-1,4)
Unknown:
The midpoint = ?
Solution:
To find the midpoint of these endpoints;
this can be mathematically expressed as;
x\(_{m}\) , y\(_{m}\) = \(\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}\)
From the given coordinates;
x₁ = 5 y₁ = 1
x₂ = -1 y₂ = 4
x\(_{m}\) , y\(_{m}\) = \(\frac{5+(-1)}{2}\) , \(\frac{1 + 4}{2}\) = 2, \(\frac{5}{2}\)
A pound is approximately 0.45 kilogram. A person weighs 86 kilograms. what is the person's weight, in pounds, when rounded to the nearest whole number? A. 180 lb B. 39 lb C. 193 lb D. 52 lb PLEASE HELP ME ASAP :')
Answer:
C. 193 lb
Step-by-step explanation:
To find their weight in pounds, divide their weight in kilograms by 0.45:
86/0.45
= 191.11
This is closest to answer choice C, so C is the correct answer.
f ( x ) = x 2 − 3 x − 2 8 f ( x ) = x 2 - 3 x - 2 8 and g ( x ) = x − 7 , g ( x ) = x - 7 ,
Answer:
1 - 7,4
The second one is a bit unclear to me.
If it is linear, graph it with a slope of 1 and a y-intercept of -7.
If it is quadratic,
2 - \(\sqrt{7}\),\(\sqrt{-7}\)
Step-by-step explanation:
Not exactly sure what you mean, but I'm going to assume it is a quadratic equation.
I used the quadratic formula for each of these problems.
(-b±\(\sqrt{b^2-4ac}\)) /2a
What is an estimate of the value of 906,000,000,000 expressed as a product of a single digit and a power of 10?
A) 9x10 to the power of 10
B) 9.06x10 to the power of 11
C) 9.06x10 to the power of 12
D) 9x10 to the power of 11
PLS HELP IM FAILING MATH AND CANT AFFORD TO GET THIS WRONG :((((
Answer:
9x10^11
Step-by-step explanation:
So if you put 906,000,000,000 into scientific notation you get 9.06x10^11.
The question wants the answer to be expressed as a product of a single digit (Round the 9.06 up) and a power of 10 (the 10^11) so the answer you get should be 9x10^11
Hope this wasn't too confusing and I hope this helps. Also you got this if you focus and put enough hard work and determination into your schooling, the result you get is amazing! School might get hard or frustrating but make it through the hard times and you get to the funny moments or the "I'm proud of myself" moments. (Trust me those moments are AMAZING!!)
according to professor dave, how far beyond the scale reported is it appropriate estimate a measurement? (i.e. if the ruler below has cm labeled and lines for mm, what is an appropriate estimate?)
Option C is the correct choice - It is not appropriate to estimate beyond the scale at all. (i.e 2.3 cm)
The scale has two divisions, one for centimeters and the other for millimeters, so it can only measure between 2 (cm) and 3 (mm) and no more.
A measuring device is used to compare the unknown quantity to a standard, and the comparison is then expressed as a number to ascertain the magnitude of the quantity. To properly convey the measurement, a number expressing the magnitude must also have a unit associated with it. For instance, it makes no sense to simply record someone's height as 64. It must be measured at 64 inches. Thus, a number and unit must be assigned to each measurement.
Because the scale has two divisions—centimeter and millimeter—it can only measure up to three centimeters (2.3).
Therefore, option C is the correct choice which states that Any estimate made outside of the scale is entirely inappropriate. (i.e 2.3 cm)
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COMPLETE QUESTION:
According to Professor Dave, how far beyond the scale reported is it appropriate to estimate a measurement? (i.e. If the ruler below has cm labeled and lines for mm, what is an appropriate estimate?) 0 1 2 3 4 5 6 7 8 9 10 cm
a) It is appropriate to estimate 1 digit beyond the scale (.e. 2.33cm)
b) It is appropriate to estimate 2 digits beyond the scale (.e. 2.333cm)
c) It is not appropriate to estimate beyond the scale at all. (.e 2.3 cm)
d) There are no guidelines. Students should do whatever they feel most comfortable doing.
assuming that nothing is known about the shape of the distribution for the data, what percentage of dentists use less than 102 units of local anesthetics per week?\
If the data has a mound-shaped distribution, then percentage of dentists who use less than 102 units of local anesthetics per week is 84% .
The Distribution is mound shaped and symmetric
we have to find percentage of dentists use less than 102 units of local anesthetics per week ;
Since the distribution is mount shaped , 68% of the data values are within 1 standard deviations of the mean (by the empirical rule) and 32% of data values are more than 1 standard deviations (23) from mean (79) .
Since , Distributions is symmetric, we expect about 16% of the data values to be more than 1 standard deviations below the mean, and about 16% of data values to be more than 1 standard deviations above mean.
So , 68% + 16% = 84% of the data values is expected to be less than 102.
Therefore , 84% of dentists use less than 102 units of local anesthetics per week .
The given question is incomplete , the complete question is
A study published in Current Allergy & Clinical Immunology (Mar. 2004) investigated allergic reactions of dental patients to local anesthetics. Based on a survey of dental practitioners, the study reported that the mean number of units (ampoules) of local anesthetics used per week by dentists was 79, with a standard deviation of 23. Suppose we want to determine the percentage of dentists who use less than 102 units of local anesthetics per week.
Assuming that the data has a mound-shaped distribution, what percentage of dentists use less than 102 units of local anesthetics per week ?
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2 times a number less 4 is 20
Answer:
68?
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Let the number be x
4x- 12=20 (12 less than 4 times a number is 20)
4x= 20 +12
4x=32
x=8
Hope this helps!!
A man is running through a train tunnel. When he is 2/5 of the way through, he hears a train that is approaching the tunnel from behind him at a speed of 60 mph. Whether he runs ahead or runs back, he will reach an end of the tunnel at the same time the train reaches that end. At what rate, in mph, is he running?
Answer:
12
Step-by-step explanation:
He is running 12
mass of water vapor (g) / mass of dry air (kg)
is the humidity measure of....
-the mixing ratio.
-relative humidity.
-vapor pressure.
-absolute humidity.
The mass of water vapor (g) / mass of dry air (kg) is the humidity measure of the mixing ratio
The mixing ratio is defined as the mass of water vapor in grams divided by the mass of dry air in kilograms in a mixture of air and water vapor. It is a useful parameter for meteorologists and atmospheric scientists to describe the amount of water vapor in the atmosphere, particularly in the upper atmosphere where the relative humidity may be very low.
Relative humidity is the ratio of the partial pressure of water vapor in the air to the equilibrium vapor pressure at a given temperature and pressure, expressed as a percentage. Vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system. Absolute humidity is the mass of water vapor per unit volume of moist air.
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*Five more than the product of 21 and Gail's savings*
use g to represent Gail’s savings
Translate this into an expression
Answer:
21g + 5Step-by-step explanation:
Five more than the product of 21 and Gail's savings:
5 more than 21*g21g + 5What is the absolute value of -11
Answer:
11
Step-by-step explanation:
11
since it asks the absolute value of -11 it
will be 11 because in absolute value-for negatives it always positive.
Answer:
see attached
Step-by-step explanation:
explain the GCF method with an example??
Answer this question based on the number line shown.
B
C
D
The distance from a point to point C is 1, and the distance from that same point to point B is 4. The point must be
O between D and A
• between C and A
O point D
L
• point A
Answer:
between D and A of it might be c
Use the distributive property to fill in the blanks below.
5 (8 – 3) = ( _ x 8) - ( _ x 3)
Please help due today
Answer:
5 (8 – 3) = ( 5 x 8) - (5 x 3)
Step-by-step explanation:
You distribute the 5 over the 8 and the 3 hence the distributive property.
Algebra 2 - U2 L2 - Multiplying and Dividing Radical Expressions
To multiply radical expressions with the same index, we use the product rule for radicals. \(\sqrt[n]{A}.\sqrt[n]{B} = \sqrt[n]{A.B}\)
To divide radical expressions with the same index, we use the quotient rule for radicals. \(\frac{\sqrt[n]{A} }{\sqrt[n]{B} } =\sqrt[n]{\frac{A}{B} }\)
Multiplying Radical Expressions :
Example,
given: Multiply: \(\sqrt[3]{12} .\sqrt[3]{6}\)
Apply the product rule for radicals, and then simplify.
\(\sqrt[3]{12}.\sqrt[3]{6}=\sqrt[3]{12.6}\)
\(=\sqrt[3]{72}\\=\sqrt[3]{2^{3} .3^{2} } \\=2\sqrt[3]{3^{2} } \\=2\sqrt[3]{9}\)
Dividing Radical Expressions
Example,
given: Divide: \(\frac{\sqrt[3]{96} }{\sqrt[3]{6} }\)
In this case, we can see that 6 and 96 have common factors. If we apply the quotient rule for radicals and write it as a single cube root, we will be able to reduce the fractional radicand.
\(\frac{\sqrt[3]{96} }{\sqrt[3]{6} } =\sqrt[3]{\frac{96}{6} }\)
\(=\sqrt[3]{16} \\=\sqrt[3]{8.2} \\=2\sqrt[3]{2}\)
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How do you divide fast without a calculator?
The simplest way to perform a division is long division and synthetic division.
What is division?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
There are two methods to perform division:
Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.
Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
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Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown in the table. Interpret the y-intercept of the graph of this function.
Answer:
15
Step-by-step explanation:
x = time in weeks
y= dollars
so once x hits 0 they corresponding y will be the y intercept.
Heidi walks 3 miles per hour and chris walks 20,000 feet per hour. About how much faster is Chris walking than Heidi, in feet per minute?
(1 mile=5,280 feet)
Answer:
his gives us that Chris is walking 69 feet per minute faster than Heidi.
Step-by-step explanation:
1 mile is equal to 5,280 feet, we can multiply 3 by 5,280 to find that Heidi is walking 15,840 feet per hour.
Next, we need to convert both speeds to feet per minute. Since there are 60 minutes in an hour, we can divide both speeds by 60 to convert them to feet per minute. This gives us that Heidi is walking 264 feet per minute and Chris is walking 333 feet per minute.
Finally, to find out how much faster Chris is walking than Heidi, we can subtract Heidi's speed in feet per minute from Chris's speed in feet per minute.
Math question please show work due today last day to submit Assignments or I fail please help
Answer:
\(\$128.43\)
Step-by-step explanation:
Since the cost for border paper is given in terms of feet and the dimensions of the gym are given in meters, we want to convert them to the same unit. Let's choose to convert feet to meters since that would be only one conversion:
\(15\:\mathrm{ft}=4.572\:\mathrm{m}\)
Therefore, the cost of border paper is $6.99 pet 15 feet or $6.99 pet 4.572 meters.
Since the gym is rectangular, the gym's perimeter is equal to:
\(p=15+27+15+27,\\p=2(15)+2(27)=84\:\mathrm{m}\)
Therefore, the cost of the total border paper for the gym is equal to:
\(\text{cost}=\frac{84}{4.572}\cdot 6.99\approx \boxed{\$128.43}\)
QW QW . R R RR . R R RR
Please report my answer
Hi, I need help with my algebra 2 homework. Please help!!! I have the picture attached.
The function g(x), representing a horizontal shrink by a factor of 3/7 followed by a translation 5 units left of the graph of \(f(x) = \sqrt{21x}\) is given as follows:
C. \(g(x) = \sqrt{49x + 245}\)
How to obtain the function g(x)?The parent function is given as follows:
\(f(x) = \sqrt{21x}\)
For the horizontal shrink, by a factor of 3/7, we have that:
\(g(x) = f(\left(\frac{7x}{3}\right) = \sqrt{21 \times \frac{7x}{3}}\)
\(g(x) = \sqrt{49x}\)
For the shift left of five units, we have that:
x -> x + 5.
Hence the function is defined as follows:
\(g(x) = \sqrt{49(x + 5)}\)
\(g(x) = \sqrt{49x + 245}\)
Meaning that the correct option is given by option c.
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which quadrant does the point (2, 3) lie?A I B IIC III D III
The quadrant of the given point (2,3) is given A I ( that is first quadrant ).
As given in the question,
Given point is equal to :
Point ( 2, 3 )
Conditions of the quadrant in the coordinate plane is given by :
Let ( x ,y ) be the coordinates in the coordinate plane.
In the first quadrant : ( x , y ) both x and y are positive.
In the second quadrant : ( -x , y ) x is negative and y is positive.
In the third quadrant : ( -x , -y ) x is negative and y is negative.
In the fourth quadrant : ( x , -y ) x is positive and y is negative.
Here in the given point ( 2,3 ) both x and y are positive.
Given point lies in the first quadrant.
Therefore, the quadrant of the given point (2,3) is equal to A I ( that is first quadrant ).
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Write a recursion formula for the sequence.5, 14, 23, 32,…
Answer:
a₁ = 5
aₙ = aₙ₋₁ + 9
Explanation:
Each term of the sequence 5, 14, 23, 32,... is equal to the term before plus 9 because
14 = 5 + 9
23 = 14 + 9
32 = 23 + 9
Therefore, the first term a₁ is 5 and the recursive formula is
a₁ = 5
aₙ = aₙ₋₁ + 9
what independent variable in costello et al. (2003) was not manipulated by the research team?
In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.
The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.
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A class trip is planned for a cinema visit.
1/4 of the people walk to it.
1/3 of the people, get the bus.
The remaining 60 people get a lift in a car.
Calculate the number of pupils who get the bus and who walk to the cinema.
Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.
Step-by-step explanation:
Let's suppose that there are a total of N pupils.
We know that N/4 walk to the cinema.
We know that N/3 get the bus to the cinema.
And the remainder is equal to 60 people.
Then:
N - N/4 - N/3 = 60
N*(1 - 1/4 - 1/3) = 60
N( 12/12 - 3/12 - 4/12) = 60
N*( 5/12) = 60
N = (12/5)*60 = 144
Then the number of pupils that walk to the cinema is N/4, or:
144/4 = 36
And the number of pupils that get the bus is N/3, or:
144/3 = 48.
A store sells 4 computers for every 9 printers. There store sells 36 computers on Tuesday, how many printers did it sell? The store sells 44 computers on Wednesday, how many printers did it sell? Create a ratio table
Answer:
Tuesday=81
Step-by-step explanation:
since 4 x 9 = 36, you have to multiply 9 x 9, which equals 81.
for Wednesday, 4 x 11 = 44, so you have to multiply 9 x 11, which = 99.
for the chart, do something like the photo i am showing for Tuesday (i already made it)
Hurricanes are large storms that form over warm waters out in the ocean. hurricanes are associated with low-pressure regions in the atmosphere. how does the low pressure associated with a hurricane help them to grow big and powerful?
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.
An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.
A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.
The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.
A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.
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*HELP I WILL MARK BRAINLIST*
The volume of plaster Darla needs for the miniature stairs is 418³.
What is the volume?The volume is the space occupied by a three-dimensional object.
Volume is the product of the multiplication of length, width, and height.
We first calculate the total volume for this situation, assuming that the stairs have not cut portions.
Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.
Length of the miniature stairs = 12 cm
Width of the miniature stairs = 11 cm
Height of the miniature stairs = 4 cm
The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)
The length of the cut portion of the stairs = 12 cm
The width of the cut portion of the stairs = 11 cm
The height of the cut portion of the stairs = 2 cm (4 - 2)
The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)
The volume of the stairs without the cut portion = 418 cm³ (528 - 120)
The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.
418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)
= (308 cm³ + 110 cm³)
Thus, the quantity (volume) of plaster Darla needs is 418 cm³.
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Simplify to lowest terms:
2.5:10
1.4:1.8
0.04: 0.3
1/5: 4/5
3/4: 1/2
6.2:5 2/5
Step-by-step explanation:
2.5:10 = 1/4
1.4:1.8 = 7/10
0.04: 0.3 = 2/50
1/5: 4/5 = 1/5
3/4: 1/2 = 3/2
6.2:5 2/5 = 12/5
Find the distance between the pair of points.
(-6, -23) and (-23. - 24)
The distance is
(Round to the nearest thousandth as needed.)
Answer:
Distance is \(\sqrt{290}\) units
Step-by-step explanation:
Use the distance formula which is \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) where \(d\) is the distance between points \((x_1,y_1)\) and \((x_2,y_2)\)
We are given that \((x_1,y_1)\) is \((-6,-23)\) and \((x_2,y_2)\) is \((-23,-24)\), therefore the distance between the two points is:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(d=\sqrt{(-23-(-6))^2+(-24-(-23))^2}\)
\(d=\sqrt{(-23+6))^2+(-24+23))^2}\)
\(d=\sqrt{(-17)^2+(-1)^2}\)
\(d=\sqrt{289+1}\)
\(d=\sqrt{290}\)
Therefore, the distance between \((-6,-23)\) and \((-23,-24)\) is \(\sqrt{290}\) units.
The student population at a middle school in June, 2020 was 1678. In September, 2021, the student population was 1463. What is the percent of change
Answer: -12.81% decrease
Step-by-step explanation:
1678-1463/1463 * 100 = -12.8128