As you can see, we turned the fraction 10100 into its decimal representation, 0.1, in a single simple computation.
what is fraction?Any number of equal portions, or parts of a whole, are described by fractions. Fractions in standard English indicate the number of pieces of a specific size. 8, 3/4 of .Part of an entire is a fraction. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. When a fraction is true, its numerator is smaller than its denominator.
With 100 as the denominator, decimal fractions in the hundredth place are written. We shall discover how each square is split into 100 equal sections in this section. A tenth is a portion that is just partially shaded. The fraction is expressed as 1/100 in decimal form.
To know more about fractions visit:
brainly.com/question/10354322
#SPJ4
18
The table shows information about the numbers of points scored by 28 students in a quiz.
Number of points
0
1
2
3
4
5
(a) Find the modal number of points.
(b) Work out the total number of points scored.
Frequency
5
4
5
5
6
3
(1)
Consequently, this student's quiz results have a median, or "middle," value of 16.
Define median.When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.
Here,
the median, or "middle" value in a data set. Your data must be in numerical order in order to calculate the median.
Exam results:
9, 13, 20, 15, 18, 17
Number the rows and columns.
9, 13, 15, 17, 18, 20
Calculate the "middle" value:
9, 13, 15, 17, 18, 20
If there are two middle values, put them together and divide by two.
15 + 17 = 32
32/2 = 16
Consequently, this student's quiz results have a median, or "middle," value of 16.
To know more about median , visit
https://brainly.com/question/28060453
#SPJ1
A test has a mean of 75 with a standard deviation of 5. Which of the following scores is within one standard deviation of the mean
The score interval that is within one standard deviation of the mean is
(70 , 80).
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.
Some of the properties of the standard deviation are:
1. It cannot be negative
2. It is only employed to calculate the spread or dispersion around a data set's mean
3. It displays the degree of deviation from the mean value
4. The larger the spread, the more standard deviation, with data of about the same mean.
Given,
The mean of the test μ = 75
The standard deviation σ = 5
We are asked to find the scores within one standard deviation of the mean.
This means that the scores should be in the interval ( μ - σ , μ + σ )
μ - σ = 75 - 5 =70
μ + σ = 75 + 5 = 80
Therefore the scores should be in the interval = ( 70,80), which is within one standard deviation of the mean.
To learn more about standard deviation, follow the link.
https://brainly.com/question/475676
#SPJ4
Tyler drove 52\tfrac{1}{2}52
2
1
mile in 1\tfrac{2}{3}1
3
2
hour. If he drove at a contant rate, how far did he travel in one hour? Enter your anwer a a whole number, proper fraction, or mixed number in implet form
Tyler drove 40 miles in one hour.
To find how far Tyler drove in one hour, we need to divide the total distance he traveled (52 21/32 miles) by the total time it took him (1 2/3 hours). To do this, we first need to convert the time to a common denominator, which in this case is 32. We can convert 1 2/3 hours to 32/3 hours by multiplying the numerator and denominator of 2/3 by 32/32.
So, we have:
(52 21/32) miles / (32/3) hour = (52 21/32) miles * (3/32) hour
= (52 21/32) * (3/32)
= (52 213/3232)
= (52 63/32) miles/hour
= 40 miles/hour
So, Tyler drove 40 miles in one hour.
Learn more about Speed here:
https://brainly.com/question/4931057
#SPJ4
Which transformation on triangle XYZ results in a triangle that is similar, but not congruent, to triangle XYZ?
A. a translation 3 units to the right
B. a reflection across the line y = - 2x + 3
C. a rotation 90° clockwise around the origin
D. a dilation centered at the origin with a scale factor of
Answer: Choice D
Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.
Answer:
D.
Step-by-step explanation:
Congruent means that the triangles are exactly the same in shape and size.
Dilating the triangle is the only answer that will change its size.
I need help with question 9. It’s all about functuons
Answer:
gay
Step-by-step explanation:
gayayayayayayaydyfyfaygaygagya
A semi-circular protractor has a diameter of 15 cm.
Calculate the perimeter of the protractor.
Give your answer to a suitable degree of accuracy
A semi-circular protractor with a diameter of 15 cm has the perimeter of 38.5 cm.
What is the perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.
The formula for perimeter of a semi-circle is -
πr+2r
Where r is the radius of the semi-circle.
The diameter d of semi-circle is 15 cm.
The radius of the semi-circle is -
r=d/2
r=15/2
r=7.5 cm
Plugging the values in the equation -
=πr+2r
=(3.14)(7.5)+2(7.5)
=23.5+15
=38.5 cm
Therefore, the value for perimeter is obtained as 38.5 cm.
To learn more about perimeter from the given link
https://brainly.com/question/397857
#SPJ4
How do you graph inverse functions and relations?
An inverse relation and function is the opposite of a relation and functions.
An ordered pair collection is referred to as a relation. Let's think about the two sets A and B. The cartesian product of A and B, indicated as A x B, is the set of all ordered pairs of the form (x, y), where x A and y B. A relation is any subset of the cartesian product A x B.
The inverse function f-1 takes each element in the range of an original function f and transfers it to the equivalent element in the function's domain. F must be one-to-one and onto since we are mapping the function f backward.
An onto function only has one output for each input, but a one-to-one function only has one input in the domain for each output in the range. This implies that each input has precisely one input for each output in order to have both.
To know more about inverse functions and relations visit: brainly.com/question/1675160
#SPJ4
What is the coefficient of y2 in the expression 3y² 4x?
The coeficient of y² in the expression is the number 3
What is an algebraic expression?
An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
In the given expression we have the following:
3y² + 4x
As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 3.
3 is the coefficient of y²
Learn more about algebraic expression in:
brainly.com/question/21856579
#SPJ4
A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser
On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
[volume of cylinder]=pi*r²*h- = h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm, so, h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]
the height of the soap in the full dispenser is 32 cm
the height when 4,239 cubic centimeters of soap remains in the dispenser is h [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]
the difference is [tex]32-24 = 8 cm[/tex]
the answer is
8 cm
To know more about cylinder visit:
https://brainly.com/question/16134180
#SPJ4
Simplify using only positive exponents:
(2h^7v^-3)/(5h^-4v^5)^-5
Therefore the expression simplified using only positive exponents is 10h^4v^22.
Define positive exponents.An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
Define multiply and divide.A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.
To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.
We can simplify the expression:
(2h^7v^-3)/(5h^-4v^5)^-5
= (2h^7v^-3)/(1/(5h^-4v^5)^5)
= (2h^7v^-3) * (5h^4v^25)
= 10h^4v^22
To know more about expressions visit:
https://brainly.com/question/14083225
#SPJ1
At Hunter Elementary School, 73% of students buy their lunch. In a randomly selected first grade class of 19 children, find the probability that at least 12 buy their lunch. Round to 3 decimal places.
The probability that at least 12 buy their lunch = 0.887
Given that 73% of students buy their lunch.
⇒ p = 0.73
And q = 1-p
q = 0.27
sample size (the number of student selected) n = 19
We need to calculate the probability that at least 12 buy their lunch.
i.e., P(x ≥ 12)
We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
P(X ≥ 12)
= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) [tex]=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}[/tex]
= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025
= 0.887
The required proability is 0.887
Learn more about the probability here:
https://brainly.com/question/15124899
#SPJ4
•18 POINTS• don’t explain
a.) neither
b.)SAS
c.)HL
SAS congruence theorem should be used.
Option (B) is correct.
What is the SAS congruence theorem?
In Euclidean geometry, the SAS congruence theorem states that if two triangles have two sides of one triangle congruent (equal in length) to two sides of the other triangle, and the included angle is congruent, then the triangles are congruent. This theorem is often abbreviated as SAS, and is used in combination with other congruence theorems, such as ASA and SSS, to prove that triangles are congruent.
In the given picture, we can say both triangles has the same side of length 7 and along with it, one more side is of equal length.
and both triangles are having the right-angle,
so we can say that we can prove these triangles congruent by using SAS congruence theorem.
Hence, SAS congruence theorem should be used.
To learn more about the SAS congruence theorem, visit:
https://brainly.com/question/16986516
#SPJ1
Put these numbers in order from least to greatest.
-9 11/20,0.25,9/20,9 1/25, 9
Answer:
From Least to Greatest
-9, 1/25, 0.25, 9/20, 11/20, 9
Step-by-step explanation:
Answer:
-9, 0.25, 9/20, 11/20, 9, 9 1/25
Step-by-step explanation:
You can convert everything in decimals or into fractions with a common denominator. Using what you have, you then put them in order.
I converted them all into decimals, getting:
-9, 0.55, 0.25, 0.45, 9, 9.04
Then I put them in order
-9, 0.25, 9/20, 11/20, 9, 9 1/25
BRAINLIEST IF YOU CAN HELP ME!
52. 0.5(cos 100deg + I sin 100 deg ) convert to trigonometric form
PAGE 347; 52, 58, 60
Answer:
the answer us on the attatched documet
Step-by-step explanation:
can u just give me the brainliest
In the scale drawing below, 1 cm
represents 2 m.
a) What is the width, in metres, of the
building in real life?
b) The real building is 4.6 m tall. What is
the height of the drawing of the building,
in centimetres?
0
cm
1
2 3 4
5
6
7
8
זייןיייןיי
9 10
A) 13 meters
B) 2.3 centimeters
=================================================
Work Shown:
Part A
The ruler diagram shows the building on paper is 6.5 cm wide. The right side of the building lines up with the midpoint marker between 6 and 7.
1 cm = 2 m
6.5*(1 cm) = 6.5*(2 m)
6.5 cm = 13 m is the width of the building in real life
Or you can solve it like this
(1 cm)/(2 m) = (6.5 cm)/(x meters)
1/2 = 6.5/x
1*x = 2*6.5
x = 13
------------------------
Part B
(1 cm)/(2 m) = (x cm)/(4.6 m)
1/2 = x/4.6
1*4.6 = 2*x
4.6 = 2x
x = 4.6/2
x = 2.3 centimeters is the height of the building in the drawing
The price of a particular stock is represented by the linear equation y = negative 0.91 x + 103.47, where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars. If this relationship continues, what is the price of the stock after it has been owned for 12 weeks?
Answer:
Step-by-step explanation:
We have, C(x) = 0.005x3 – 0.02x2 + 30x + 5000
Clearly, the marginal cost, MC (x) = \(\frac{d}{d x}\)C(x)
= \(\frac{d}{d x}\)(0.005x3 – 0.02x2 + 30x + 500)
= 0.005 × 3x2 – 0.02 × 2x + 30 + 0
= 0.015x2 – 0.04x + 30
Now, marginal cost when 3 units arei produced
MC(3)= 0.015(9) – 0.04(3) + 30
= 0135 – 0.12 + 30= 30.015
Identify the surface whose equation is given.
p = sin θ sin φ
Therefore , the solution of the given problem of trigonometry comes out to be surface x² + y² + z² = p².
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.
Here,
Given:
p = sinθ sin∅
To Locate:
the equation's surface
Solution:
adding p to both sides of the equation
p sinθ sin∅ = p²
p sinθ sin∅ = p²
p sinθ sin∅ =y
x²+y²+z²=y
x² + y² - y+ z² = 0
x²+ (y - 1/2)²+ z² = 1/4
r² =1/4, r= √1/4,
The surface of the sphere having a radius of 1/2 and a center at (0, 1/2, 0) is designated as 1/4.
Sphere-centered coordinates
x = sin p sin
y = sin(p), sin(p),
z = p cos∅
x² + y² + z² = p²
Therefore , the solution of the given problem comes out to be surface
x² + y² + z² = p².
To know more about trigonometry , visit
brainly.com/question/12068045
#SPJ1
28 The function g(z) = 400z - z2 can be ued to determine the area, in quare feet, of a field, where z repreent the width of the field in feet. A farmer will plant pinach in thi field and expect to harvet 1 pound of pinach per quare foot. If the field i 50 feet wide, what i the total number of pound of pinach the farmer hould expect to harvet from the field?
The farmer should expect to harvest 17,500 pounds of spinach from the field.
What is a function?
A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.
In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.
Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:
g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet
We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:
1 pound/square foot * 17,500 square feet = 17,500 pounds
Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.
To learn more about the functions, visit:
https://brainly.com/question/11624077
#SPJ4
The farmer should expect to harvest 17,500 pounds of spinach from the field.
What is a function?
A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.
In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.
Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:
g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet
We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:
1 pound/square foot * 17,500 square feet = 17,500 pounds
Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.
To learn more about the functions, visit:
brainly.com/question/11624077
#SPJ4
Find the radius of convergence R of the series. [infinity] n bn (x − a)n, b > 0 n = 1
R= ____
Find the interval of convergence of the series.
The radius of convergence R = 1/b
The radius of convergence for a power series is given by the formula:
1/R = lim sup |bn|^(1/n)
In this case, the radius of convergence is given by:
1/R = lim sup |bn|^(1/n) = lim sup b^(1/n) = b^(1/n) as b > 0.
So R = 1/b
As for the interval of convergence, it is the set of values of x for which the series converges. The series converges when |x-a| < R, and diverges when |x-a| > R. So the interval of convergence is (a-R, a+R) which is (a-1/b, a+1/b)
To learn more about convergent series visit: brainly.com/question/15415793
#SPJ4
Help me pleaseeeeeeeee!!!
0.08/0.2 and 0.2/0.8 are not proportional.
What is proportionality?A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.
Given are two numbers, 0.08/0.2 and 0.2/0.8
Checking for if they are proportional or not,
0.08/0.2
Multiplying denominator and numerator by 100,
8/20 = 2/5
And,
0.2/0.8 = 1/4
Since, 0.08/0.2 ≠ 0.2/0.8
Hence, 0.08/0.2 and 0.2/0.8 are not proportional.
Learn more about proportional, click;
https://brainly.com/question/3254974
#SPJ1
An approximate solution to an equation is found using this iterative process.
(x, Jº-1
X,+1
and x, = -1
4
The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.
What is iteration ?
iteration can be defined as the repeating itself to perform a particular task.
Given
X2 is when n=1
X2 = X1+1 = X1 ^ 3 - 5/10
because X1 = -1
so X2 = -1-5/10 = -6/10 = -0.6
X3 is when n=2
X3 = X2+1
= X2 ^ 3 -5/10
because X2 = -3/5
so X3 could be
X3 = (-0.6*-0.6*-0.6) - 5 / 10
X3 = -0.041600
Hence, The values of X1, X2 , X3 could be -1 , -0.6 , -0.041600 using the iterative process.
To learn more about iteration from the given link
https://brainly.com/question/29796261
#SPJ4
- 6 <1/3(6y + 12) < 14
Answer:
1 - 5 < y < 5
I hope you pass your assignment
The range of solutions for the given inequality is -5<y<5.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -6<1/3(6y + 12)<14.
Here, -6<(2y + 4)<14
-6<(2y + 4)
Subtract 4 on both the sides of an inequality, we get
-10<2y
Divide 2 on both the sides of an inequality, we get
-5<y
(2y + 4)<14
Subtract 4 on both the sides of an inequality, we get
2y<10
Divide 2 on both the sides of an inequality, we get
y<5
So, -5<y<5
Therefore, the range of solutions for the given inequality is -5<y<5.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ2
Pls help me with this question plssss
The average rate of the given function is 2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is h(x)=-x²-x+5 and the interval is -6≤x≤2.
x={-6, -5, -4, -3, -2, -1, 0, 1, 2}
y=-x²-x+5
When x=-2
y=-(-2)²-(-2)+5
y=-4+4+5
y=5
When x=-1
y=-(-1)²-(-1)+5
y=5
When x=0
y=5
When x=1
y=-1-1+5
y=3
When x=2
y=-(2)²-(2)+5
y=-1
Now, rate using (1, 3) and (2, -1), we get
m =(-1-1)/(2-3)
m=2
Therefore, the average rate of the given function is 2.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
A rental car company charges a fixed fee of $30 + 0.05 per mile. Let’s see represent the total cost of renting a car and driving a.m. miles right in equation that could be used to find the total cost of the renting car and driving it any number of miles
Answer:
C = $30 + $0.05M
Step-by-step explanation:
We know that renting the car will cost $30, regardless of whether you drive it any where or not
So far
C = $30
On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)
The second value is $0.05 multiplied by how many miles are travelled
Also expressed as $0.05M
Finally, just fix the two parts together
Answer:
Step-by-step explanation:
We know that renting the car will cost $30, regardless of whether you drive it any where or not
So far
C = $30
On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)
The second value is $0.05 multiplied by how many miles are travelled
Also expressed as $0.05M
Finally, just fix the two parts together
C = $30 + $0.05M
Two groups of students were asked how far they lived from their school. The table shows the distances in miles: Group A (distance in miles) 1 1.5 8 9.2 6.8 4.5 4.8 2.5 0.76 Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8 Which statement best compares the mean distances for the two groups
Mean distance for group A = 6.01 miles and for group B = 2.17 miles.
What is mean value?In statistics, the mean is the average of all data values given in a data set.
Mean is calculated by adding all the data value and then divided the sum by the total amount of data.
How to calculate the mean distance?distance in miles for Group A distance in miles for group B
11.5 2
8
2.5
9.2 3.23
6.8 1.3
4.5 1.8
4.8 2.4
2.5 3
0.76 1.5
1.8
now mean value for group A = sum of data value/ number of data value
mean distance = (11.5 + 8 +9.2 +6.8 +4.5+ 4.8+2.5+0.76) / 8
mean distance for group A = 6.01 miles
mean distance for group B = (2+2.5+3.23+1.3+1.8+2.4+3+1.5+1.8)/ 9
mean distance = 2.17 miles
To know more about mean value visit:
https://brainly.com/question/15829822
#SPJ4
Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adult. The receipts for admission totaled $920.00. How many children and how many adults swam at the public pool that day?
If Swimming Pool On a certain hot summers day, 498 people used the public swimming pool. The number of children is 325 and the number of adult is 173.
How to find the number of children and adult that swam?Children = x
Adults = y
x + y = 498 Equation .....1
1.50x + 2.50y = 920 Equation ...2
Multiply (1) by 2.50
2.50x + 2.50y = 1,245 Equation Equation ....3
1.50x + 2.50y = 920 Equation ...2
Subtract (2) from (3)
1x = 325
x = 325/1
x = 325 (Children)
Substitute x = 325 in (1)
x + y = 498
325 + y = 498
y = 498 - 325
y = 173 (Adult)
Therefore 325 children and 173 adults swam at the pool.
Learn more about number of children and adult that swam here:https://brainly.com/question/15565874
#SPJ1
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The circle equations for circles with diameters of 12 units that lie on the y-axis are:
x^2 + (y – 3)^2 = 36x^2 + (y + 8)^2 = 36Which equations represent circles?We want to find the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis, now, remember that the general equation for a circle of radius R and a center (a, b) is:
(x - a)^2 + (y - b)^2 = R^2
If we want a circle that lies on the y-axis, then a = 0, and if the diameter is 12 units, then the radius is R = 6 units.
Then the equation is something like:
x^2 + (y - b)^2 = 6^2 = 36
The two circle equations with this form are:
x^2 + (y – 3)^2 = 36x^2 + (y + 8)^2 = 36Learn more about circle equations:
https://brainly.com/question/1559324
#SPJ1
I NEED HELP ASAP!!!!!!!!
Answer:
(- 1, 9 )
Step-by-step explanation:
6x - y = - 15 → (1)
x + 2y = 17 → (2)
multiplying (1) by 2 and adding to (2) will eliminate y
12x - 2y = - 30 → (3)
add (2) and (3) term by term to eliminate y
13x + 0 = - 13
13x = - 13 ( divide both sides by 13 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for y
substituting into (2)
- 1 + 2y = 17 ( add 1 to both sides )
2y = 18 ( divide both sides by 2 )
y = 9
solution is (- 1, 9 )
Which of the following lists of ordered pairs is a function?
Answer:
C is a function
Step-by-step explanation:
for a relation to be a function each value of x must map to exactly one unique value of y
A
2 → 5 and 2 → 2 ← not a function
B
- 1 → 6 and - 1 → 7 ← not a function
C
all values of x map to exactly one unique y ← function
D
3 → 1 and 3 → 2 ← not a function
A ball is thrown upward and its height after seconds can be described by formula 5.6. Find the maximum height the ball will reach.
The maximum height reached by the ball is 20 units at 1.2 unit time.
What is Maxima and Minima ?The extrema of a function are the maxima and minima. The highest and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, throughout its full range.
The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.
Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.
The equation is given as
h = [tex]-10t\x^{2} + 24t + 5.6[/tex]
Differentiating both side with respect to t we get
[tex]\frac{dh}{dt} = -20t + 24[/tex]
To reach maximum value [tex]\frac{dh}{dt} = 0[/tex]
⇒20t = 24
⇒ t = 1.2
So the maximum height reached = [tex]-10 *(1.2)\x^{2} + 24*1.2 + 5.6 = 20[/tex]
To learn more about Maxima and minima refer to :
https://brainly.com/question/14384831
#SPJ4