Answer:
Circumference = 2*pi*r
Diameter = 6 cm
Radius = 3 cm
Circumference = 2*22/7*3
= 18.85 cm.....
Step-by-step explanation:
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Find the mean, median, mode, and range of the data set,
daily temperature in degrees Celsius. 24, 24, 25, 27, 31, 32, 38, 39
A mean = 24, median
24, median + 30, mode - 29, range = 16
OB mean = 29, median = 30, mode = 24, range = 15
C mean = 30, median = 29, mode = 24, range = 15
OD mean = 30, median = 24, mode = 29, range = 16
Answer:
C
Step-by-step explanation:
Lily and nada share silver coins in the ratio 7:3. if lily gives 3 silver coins to nada, the ratio becomes 5:3. how many silver coins did lily have initially?
The number of silver coins Lily initially had is 28.
What is ratios?A ratio is described as a comparing two quantities with the same unit to determine the amount of each quantity is existent in the other. Ratios are divided into two types.
The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groups.Now according to the question;
Let 'x' be the share of silver coin of Lily.
Let 'y' be the share of silver coin of Nada.
Lily and Nada share silver coins in the ratio 7:3
Thus, x/y = 7/3
Cross-multiplying
3x = 7y (equation 1)
Now, if Lily gives 3 silver coins to Nada, the ratio becomes 5:3.
(x - 3)/(y + 3) = 5/3
cross multiplying;
3x - 9 = 5y + 15
Simplifying;
3x = 5y + 24 (equation 2)
Comparing equation 1 and 2.
7y = 5y + 24
2y = 24
y = 12 (Nada's share)
Substitute the value of y in equation 1;
3x = 7y
3x = 7×12
x = 28
Therefore, the initial share if Lily was 28.
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How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
4/5 - 1/10=
A. 7/10
B.3/5
C.3/10
D.2/25
Answer
A 7/10
Step-by-step explanation:
if you make it even, you double the 4/5 to make it a 8/10, if you every have a number that is like 4/6-2/18, you triple the 4 to make 12, and triple the 6 to make it 18. so you now have 12/18-2/18=10
So 8/10-1/10=7/10
A statistical study involves a data set of the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014.
What type of observational study is this?
A) cross-sectional study
B) Retrospective study
C) Prospective study
D) Experiment
The study described is a retrospective study.
A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.
In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.
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(2/3+5/2-7/3)+(3/2+7/3-5/6)
Answer:
after simplifying, we get,
23/6
Step-by-step explanation:
(2/3+5/2-7/3)+(3/2+7/3-5/6)
We simplify,
\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)
Darnel uses 8 fluid ounces of lemon juice in one batch of lemonade. How many batches can he make with 1 pint of lemon juice?
Answer:
16 ounces = 1 pint, 8 times 2 = 16
Step-by-step explanation:
Answer in explanation:
1 pint is 16 ounces so he could make 2 batches of lemonade with 1 pint of lemon juice.
(8 x 2 = 16
your answer is 2
Hope this helps!
Mitchell has a balance of $1,200 in his first state bank checking account. he deposits a $387.89 pay check, a $437.12 dividend check, and a personal check for $250 into his account. He wants to receive $400 in cash. How much will he gave in his account after the transaction ????
What is another name for Plane P below?
A.
plane B
B.
plane n
C.
plane ABC
D.
plane BAD
Answer:
is. there. a. picture
Step-by-step explanation:
PLEASE QUICK WILL GIVE BRAINLIEST Which statement describes the cost to park as a unit price?
Answer:
The 3rd choice you gave.
Step-by-step explanation:
A unit price has to have 1 in the denominator. So the 3rd choice is correct
I hope this helped! Sorry for answering so late
Answer:
The answer is (C)
Step-by-step explanation:
hope this helps :)
a quantity of y varies partly as x and partly as the square of x. when x=2 ,y=14 and when x=5, y=65. Find y when x=-2
Tyler looked at the numbers 10,020 and 20,010. His thinking is shown below. The number 10,020 has more tens than 20,010 because 10,020 has 2 in the tens place, and 20,010 has 1 in the tens place. 2 tens is more than 1 ten. Tell why Tyler's thinking is incorrect. Then explain why there are more tens in 20,010 than in 10,020. Show your work. Use a place-value chart, words, and numbers to explain your answer.
Using proportions, it is found that Tyler's thinking in incorrect, as dividing both numbers by 10, 20,010 has 2001 tens and 10,020 has 1002 tens.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
To find out how many tens are in a number, we divide it by 10, hence:
10020/10 = 1002.20010/10 = 2001.Tyler's thinking in incorrect, as dividing both numbers by 10, 20,010 has 2001 tens and 10,020 has 1002 tens.
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metropolis gets 5.8 inches of rain in october, 4.2 inches in novemeber how much does it get in december
Answer:
2.6
Step-by-step explanation:
Metropolis gets 5.8 inches of rain in October
4.2 inches of rain is seen in November
Therefore the amount that would be seen in December can be calculated as follows
= 5.8-4.2
= 1.6
4.2-1.6
= 2.6
Hence 2.6 inches of rain would be seen in December
plz help asap!!!! thank you!!!........
Answer:
choice 1) 312 cm²
Step-by-step explanation:
area = (16 x 12) + (10 x 12) = 312 cm²
Answer:
312
Step-by-step explanation:
triangle:
10x12/2=60
two triangle:
60x2=120
rectangle:
16x12=192
add up:
120+192=312
Which estimation could be used to make sure the answer is reasonable?
Sofia mixed 3.15 L of grape juice with 4.75 L of cranberry juice. Her friends drank 3.95 L of the juice mixture.
How much juice was left over?
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
Answer: The amount left over was 11.85 L.
Estimation: 3.15 + 4.75 is about 8 L.
8 L + 4 L = 12 L.
The amount left over was a little less than 12 L.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
Let's go through each answer.
A.
Answer: The amount left over was 4.05 L.
Estimation: 3.15 + 4.75 is about 7.
7 L – 4 L = 3 L
The amount left over was about 3 L.
This is incorrect because 3.15+4.75 is closer to 8 than 7.
B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
This is correct because 3.15+4.75 is close to 8 and to find the amount left over you do have to subtract.
The correct answer is B.
Answer: The amount left over was 3.95 L.
Estimation: 3.15 + 4.75 is about 8.
8 L – 4 L = 4 L
The amount left over was a little less than 4 L.
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A new car, valued at 28,000 depreciates at 9% per year. What is the value of the car one year after purchase
Answer:
$25,480
Step-by-step explanation:
9% of 28,000 is 2,520. "Depreciates" means we must subtract. When we subtract this number from the initial value of the car which is 28,000 we get 25,480, which would be how much the car is worth after one year.
hope this helps!
So there's 2 types of depreciation you often will come across, one is compound and one is simple.
For compound : A=P(1-i)^n
For simple A=P(1-in)
NOTE: A is amount after depreciation, P is amount before depreciation, n is number of years and i is the rate of depreciation.
Now if your depreciation is compound then:
A=P(1-i)^n
A=28000(1- 0.09)^1
A= 25480
If it's simple depreciation
A=P(1-in)
A= 28000(1- 0.09x1)
A= 25480
Now these are your solutions
Factor f(x) = 4x³ + 15x²-121x + 120 into linear factors given that -8 is a zero of f(x).
f(x) = 4x³ + 15x²-121x+120=
(Factor completely.)
The linear factors of f(x) are: f(x) = (x+8)(4x-7)(x+17/8)
Linear FactorsIf -8 is a zero of the polynomial f(x), then (x+8) is a factor of f(x) by the Factor Theorem. We can use polynomial long division or synthetic division to find the other factor(s).
Using synthetic division:
-8 | 4 15 -121 120
|_____-32____ 1280__
4 -17 -193 1500
The result of synthetic division shows that the quotient is 4x^2 - 17x - 193, and the remainder is 1500. This means that:
f(x) = (x+8)(4x^2 - 17x - 193)
We can now factor the quadratic factor by using the quadratic formula or factoring by grouping:
4x^2 - 17x - 193 = 0
x = [17 ± sqrt(17^2 - 4(4)(-193))]/(2(4))
x = [17 ± sqrt(6569)]/8
x = [17 ± 81]/8
x = 14/8 or x = -17/8
The solutions are x = 7/4 and x = -17/8.
Therefore, the linear factors of f(x) are:
f(x) = (x+8)(4x-7)(x+17/8)
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...!!.!.!.!.!.!.!.!.!.!.!.!.
Answer: It is proportional because 195/3 equals 65 and 325/5 equals 65 as well, so it is proportional.
Hope this helps! :)
there are about 946946946 milliliters in a quart. there are 222 pints in a quart. about how many milliliters are in a pint?
There are 4265526.78 milliliters in a pint
What is conversion of units?For us to have accuracy and avoid confusion in measurement, we need to convert one unit to another. For instance, we do not measure the length of a pencil in kilometres. In such a case, one has to convert kilometre (km) to centimetre (cm). For example 1000m makes 1km and 100cm makes 1meter
Since 946946946 mililiters equals 1 quart
and 1 quart equals 222pints
This means 222pints = 946946946 milliliters
Therefore 1 pint = 946946946/222
1 pint = 4265526.78 milliliters
Therefore there are 4265526.78 milliliterss in a pint.
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divide using models then check your work using reciprocals 3/10 ÷ 1/5
Answer:
3/2
Explanation:
To divide the fractions using models, we will use the following:
Now, we need to count how many green rectangles are in the red zone. So, we can see that there are 1 complete rectangle and a half, then the answer of the division is:
\(\frac{3}{10}\div\frac{1}{5}=1\frac{1}{2}=1+\frac{1}{2}=\frac{3}{2}\)On the other hand, we can divide the fractions using the reciprocal as:
\(\frac{3}{10}\div\frac{1}{5}=\frac{3}{10}\times\frac{5}{1}=\frac{3\times5}{10\times1}=\frac{15}{10}=\frac{3}{2}\)So, the answer is 3/2
Paige goes shopping and buys leggings for $24.95, a crewneck for $30.50, and a new purse (p). She says the expression 5.55+p can be used to find her total. Explain what she did wrong when writing her expression and write a new expression that correctly describes her total.
Answer:
\(55.45+p\)
The decimal point is one step behind and rounded the number.
Step-by-step explanation:
Cost of leggings = $24.95
Cost of crewneck = $30.50
Cost of new purse = p
The correct expression to find the total cost of her shopping is
\(24.95+30.5+p\)
\(=55.45+p\)
What Paige did was she put the decimal point one step behind and rounded the number.
\(2.495+3.05+p\)
\(=5.545+p\)
\(=5.55+p\)
So, she got the wrong expression.
What term do you need to add to each side to complete the square? 3y^2 +8y=4
Determine the equation of the line that passes through (-8,9) and (2,-6)
Express you answer as a fraction in lowest terms.
The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.
We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.
Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.
Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.
The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.
Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.
Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.
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A recipe uses 5 cups of milk to make 25 servings. If the same amount of milk is used
for each serving, how many servings can be made from two pints?
Answer:
https://youtu.be/ssE-HVO4SY4
The following angles are given in degrees, arcminutes, and arcseconds. Rewrite them in degrees and decimal fractions of degrees.A. 2 degrees 18 ′ 36 ′′B. 36 ′ 18 ′′C. 7 degrees 59′ 59′′D. 1′E. 1′′
On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.
what is degrees ?A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.
1 degree = 3600 arc seconds
1 degree = 60 arc minutes
A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree
B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree
C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree
D. 1' = 1/60 degree
F. 1" = 1/3600 degree
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y = 2x^2. , y = -3x -1
To solve this system of equations, we can substitute y = 2x^2 from the first equation into the second equation for y, and then solve for x:
2x^2 = -3x - 1
Rearranging this equation, we get:
2x^2 + 3x + 1 = 0
Now we can solve for x using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 2, b = 3, and c = 1. Substituting these values, we get:
x = (-3 ± sqrt(3^2 - 4(2)(1))) / 2(2)
x = (-3 ± sqrt(1)) / 4
There are two solutions for x:
x = -1
x = -1/2
Now we can use these values of x to find the corresponding values of y:
When x = -1:
y = 2x^2 = 2(-1)^2 = 2
y = -3x - 1 = -3(-1) - 1 = 2
So one solution to the system of equations is (-1, 2).
When x = -1/2:
y = 2x^2 = 2(-1/2)^2 = 1/2
y = -3x - 1 = -3(-1/2) - 1 = 3/2 - 1 = 1/2
So another solution to the system of equations is (-1/2, 1/2).
Therefore, the solutions to the system of equations are (-1, 2) and (-1/2, 1/2).
Answer y = 2x^2. , y = -3x -1
a town wants to fence in a rectangular section of a park.
Answer:
A: area of one additional plan exceeds 624 square feet ...... it does not
Step-by-step explanation:
let's lay out the six additional plans:
plan width length area
6 26 24 624
7 28 22 616
8 30 20 600
9 32 18 576
10 34 16 544
11 36 14 504
A: one additional plan (plan 6) does not exceed 624. so this incorrect
B: one of the plans (plan 11) is less than 544. this is correct.
C: area of plan 6 = area of plan 5. this is correct.
D: Plan 7 area (616) is less than area of plan 6 (624). this is correct.
So, A is incorrect
if sin A=3/8 , find the value of cosec A-sec A
If sinA = 3/8, the value of cosec A - sec A is (72√55 - 440)/495
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
If sin A = 3/8
and SinA = opp/ hyp
opp = 3 and hyp = 8
using Pythagoras theorem
8² = 3²+adj²
adj = √ 8²-3²
adj = √64-9
adj = √55
cos A = √55/8
sec A = 1/CosA = 8/√55
cosec A = 1/sinA = 8/3
cosec A-sec A = 8/ √55 - 8/3
= (24-8√55)/3√55
= (72√55 - 440)/495
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1. Un examen de Matemáticas ha sido aprobado por 6/9 de los estudiantes. Al resto de los estudiantes le toca repetir el examen. Si el grupo está compuesto por 45 estudiantes, ¿cuántos estudiantes deben repetir dicho examen?
ayudenme mañana tengo q hacer el exameeeeeeeeen
Answer:
15 students
Step-by-step explanation:
The fraction of students who will repeat the exam is:
\(1-\frac{6}{9}\)
=\(\frac{9}{9} -\frac{6}{9} =\frac{3}{9}\)
simplified is:
\(\frac{1}{3}\)
Extract this fraction of 45:
\(45(\frac{1}{3} )=\frac{45}{3} =15\)
Hope this helps
Choose Yes or No to tell if 14.3 will make each equation true.
19.05 + □ = 33.35
□ + 32.62 = 45.92
62.01 – □ = 47.71
□ – 4.88 = 9.42