Answer:
Step-by-step explanation:
To convert into a percent, multiply by 100
1)
a)0.543; = 0.543*100= 54.3%
b) 0.0098; = 0.0098*100=0.98%
c) 1.67; = 1.67*100=167%
To convert percentages into decimals, divide by 100
2)
a) 10%= 10÷100= 0.1
b) 0.010%= 0.010÷100= 0.0001
To convert mixed numbers into decimals, convert mixed numbers into improper fractions and divide
3)
a)2 1/3= 7/3= 2.333 =233.3%
b)5 3/5= 28/5= 5.6 =560%
To convert a fraction into a mixed number, divide the numerator by the denominator
4)
a) 11/4= 2+3/4= 2 3/4
b) 16/7= 2+2/7= 2 2/7
1. Convert decimals to percentages:
a) 0.543 can be converted to percentage by multiplying it by 100. So, 0.543 x 100 = 54.3%
b) 0.0098 can be converted to percentage by multiplying it by 100. So, 0.0098 x 100 = 0.98%
c) 1.67 can be converted to percentage by multiplying it by 100. So, 1.67 x 100 = 167%
2. Convert percentages to decimals:
a) 10% can be converted to a decimal by moving the decimal two places to the left. So, 10% = 0.10
b) 0.010% can be converted to a decimal by moving the decimal four places to the left. So, 0.010% = 0.0001
3. Convert mixed numbers to fractions and decimals:
a) 2 1/3 can be converted to a fraction by finding a common denominator of 3 and writing the whole number as a fraction. So, 2 1/3 = (2 x 3 + 1) / 3 = 7/3
It can also be converted to a decimal by dividing the numerator by the denominator. So, 7/3 = 2.333...
c) 5 3/5 can be converted to a fraction by finding a common denominator of 5 and writing the whole number as a fraction. So, 5 3/5 = (5 x 5 + 3) / 5 = 28/5
It can also be converted to a decimal by dividing the numerator by the denominator. So, 28/5 = 5.6
4. Convert fractions to mixed numbers:
a) 11/4 can be converted to a mixed number by dividing the numerator by the denominator and writing the remainder as a fraction. So, 11/4 = 2 3/4
b) 16/7 can be converted to a mixed number by dividing the numerator by the denominator and writing the remainder as a fraction. So, 16/7 = 2 2/7
PLEASE ANSWER
IMAGE ATTACHED
Answer:
115.7625
Step-by-step explanation:
100(1.05)^3=115.7625
i cant get this question figured out
Therefore , the solution of the given problem of expression comes out to be [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex] is the left expression.
Explain expression.Mathematical operations including addition, subtraction, multiplication, and division are required. They result in the following when combined: An equation, some information, and an arithmetic operator Values, parameters, and operations like adds, omissions, multiplications, and divisions make up a statement of fact. Different phrases and words can be contrasted and compared.
Here,
Given :
=>[tex](5x - 3)^\frac{1}{4} - 1/2(5x-3)^\frac{1}{4}[/tex]
=> [tex](5x-3)^{1/4} {1-\frac{1}{2 }[/tex]
=>[tex](5x -3)^\frac{1}{4} \times \frac{1}{2}[/tex]
=> [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex]
Thus , answer is [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex]
Therefore , the solution of the given problem of expression comes out to be [tex]\frac{1}{2} \times(5x-3)^{\frac{1}{4}}[/tex] is the left expression.
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all fourth grade children on long island are given an examination on mathematical achievement. a random sample of 60 fourth graders are selected. their examination results are summarized in the following stem-and-leaf plot. find the sample upper quartile. 6 4
6 6
88 88
1 1
33 33
445 445
6667777 6667777
8888889 8888889
11111 11111
2233333 2233333
4455 4455
66777 66777
899 899
1 1
223 223
45 45
The small upper quartile is 81.
A random sample of 60 fourth graders are selected.
Since, there are 60 values.
The median of a set of data is the middlemost number or center value in the set. The median is also the number that is halfway into the set.
Sample median will be Average of [tex](\frac{60}{2} )^{th}[/tex] value and [tex](\frac{60}{2}+1)^{th}[/tex] value
The formula to calculate the median of the finite number of data set is given here. The median formula is different for even and odd numbers of observations. Therefore, it is necessary to identify first if we have odd number of values or even number of values in a given data set.
If the total number of observations given is odd, then the formula to calculate the median is:
Median[tex]=(\frac{n+1}{2} )^{th}[/tex]termIf the total number of observation is even, then the median formula is:
Median=[tex]= (\frac{n}{2}) ^{th}+(\frac{n}{2}+1)^{th} /2[/tex]Sample median = Average of 30th value and 31st value
From the stem and leaf plot :
30th value = 81
31st value = 81
Sample median = (81+81)/2 = 81
Therefore, the sample upper quartile is 81.
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find the domain and range of
f(x)√(5+2x)
2
Data Set A: 1, 2, 3, 4, 5, 6, 7
Data Set B: 1, 1, 2, 2, 3, 3, 4
Which of the following statements correctly compares the means of data set A and data set B?
A The mean of each data set is 2.
B The mean of each data set is 4.
C The mean of data set A is less than the mean of data set B.
D The mean of data set A is greater than the mean of data set B.
<
Save
(3) >
Retu
The mean of data set A is greater than the mean of data set B i.e. D.
What is mean?
The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.
z-score is a statistical measurement that describes a value's relationship to the mean of a group of values and the formula for the z-score is
z = (x - μ)/σ
x = data point
μ = mean
σ = standard deviation
Now,
Given Data sets
Data Set A: 1, 2, 3, 4, 5, 6, 7
Data Set B: 1, 1, 2, 2, 3, 3, 4
For Data Set A
Mean=(1+2+3+4+5+6+7)/7=28/7=4
For Data Set B
Mean=(1+1+2+2+3+3+4)/7=16/7=2.28
Hence,
The mean of data set A is greater than the mean of data set B.
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Please help me with this question.
By using the natural logarithm, we can see that the solution is x = 2.26.
How to solve the equation for x?Here we want to solve the equation below:
2²ˣ = 23
If we apply the natural logarithm in both sides, we will get:
ln(2²ˣ) = ln(23)
That allows us to bring down the exponent:
ln(2²ˣ) = ln(23)
2x*ln(2) =ln(23)
x = ln(23)/(2*ln(2))
x = 2.26
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Never mind i got it!
Answer:
OOk
Step-by-step explanation:
for questions that require a numerical answer, you may be told to round your answer to a specified number of decimal places or you may be asked to provide an exact answer. when asked to provide an exact answer, you should enter repeating decimals in their fraction form and irrational numbers such as e^5, ln(4), or V2 in their symbolic form. consider the function f(x)= e^x +1/3x a. Find f(5), Give an exact answer b. Find f(11), Give your answer rounded to 3 decimal places
The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.
The function is f(x)= e^x + 1/3x
To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.
Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.
Which is equal to f(11) = e^11 + 11/3
f(11) = 59874.141715198 + 3.6666666667
f(11) = 59877.808381865
f(11) ≈ 59877.808
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Dont know how to answer, can i get an explanation and an answer
Answer:
Below
Step-by-step explanation:
It goes UP from -20 but does not include -20 ( due to the hollow dot) and it is less than or equal to 30 :
-20< x <= 30
x: begin at 2, add 3
y: begin at 4, add 6
Which describes the relationship between the number sequences?
A. The terms in sequence y are two more than the terms in sequence x.
B. The terms in sequence y are six times the terms in sequence x.
C. The terms in sequence y are two times the terms in sequence x.
D. The terms in sequence y are half as much as the terms in sequence x.
The correct option in the given situation is (C) there are twice as many terms in sequence y as there are in sequence x.
What do we mean by sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important.
Similar to a set, it has members (also called elements, or terms).
The length of the series is the number of elements (potentially infinite).
In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important.
A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
An indexed family, which is a function from any index set, can be thought of as a generalization of the idea of a sequence.
So, we have:
x: begin at 2, add 3 = 5
y: begin at 4, add 6 = 10
According to the given statements, the best statement going with the situation is (C) the terms in sequence y are two times the terms in sequence x.
Therefore, the correct option in the given situation is (C) there are twice as many terms in sequence y as there are in sequence x.
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A dance team has two competitions on the same day. The coaches decide to split the 96-member team, sending some to each competition. Competition A requires four-member dance teams per event and Competition B requires six-member dance teams per event. The equation 4x + 6y = 96 models this situation, where x is the number of four-member teams and y is the number of six-member teams. Graph the equation. Interpret the intercepts
Answer:
see attached
Step-by-step explanation:
intercept on Y is when x=0, y = 16 so if no one goes to competition A, they'll have 16 six-member teams
intercept on x is when y=0, x=24 so if no one goes to competition B, they'll have 24 four-member teams
While you are on vacation you start keeping track of how far your family is from home and how long it has taken after 3 hours you are 90 miles from home after 6 hours you are 250 miles from home
-write an equation that relates distance from home (d) and the amount of time (t) it has been
A possible equation that relates distance from home (d) and the amount of time (t) is d = tx, which can be expressed as 90= 3x.
How to write an equation?An equation relates variables using the equality symbol (=) as well as other symbols such as addition or subtraction. Due to this follow these steps:
Identify the variables: In this case, the variables are distance and time.Identify the unknown variables: We know distance increases with time but there is an unknown variable that will be identified as x.Relate the variables.Based on this a possible equation is: d = tx
The missing value can be found by solving the equation 90= 3x.
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If you invest $550 at a 4% interest rate, what will be the interest
Answer:
need point Ibut nadir me ayuda y la app no me deja seguir
Answer: $22
Step-by-step explanation:
Which of the following is a factor of 9x^2+21+10
Answer:
3x+ 5 is a factor
Step-by-step explanation:
Factorization:9x² + 21x + 10
Sum = 21
Product = 90
Factors = 15 * 6 {15*6=90 & 15+6 = 21}
9x² + 21x + 10 = 9x² + 15x + 6x + 10
{Rewrite the middle term using factors}
= 3x(3x + 5) + 2(3x + 5)
= (3x + 5)(3x + 2)
3x + 5 is a factor.
please help me with math i’ll give you brainlist
On solving the provided question we can say that equation of new line is y + 2 = -1/3(4x + 2)
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
lines,
y - 1 = -3(x-2)
3y = x- 9
here slope, m is -3
equation of new line is
y + 2 = -1/3(4x + 2)
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Based on the completed Form 1040 and 2018 Taxable Income Tiers, what is the total tax
that the employee is responsible for paying?
Answer in complete sentences.
The total tax that the employee is liable for paying will be $17,836 if the taxpayer declares $100,000 as income on the finished Form 1040.
What are income tiers or tax brackets?An income range that is subject to a particular income tax rate is referred to as a tax bracket. A progressive tax system includes tax brackets, which indicates that when an individual's income increases, the amount of the tax rates increases gradually. Tax rates for low-income taxpayers are generally low, whereas those for high-income taxpayers are often higher.
For instance, a single filer in 2022 with $100,000 in taxable income will pay $17,836 in taxes, or an average tax rate of 18%. Your effective marginal tax rate, however, is 24%. As a result, the employee is accountable for paying a total of $17,836 in taxes.
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Ayudaaaaaaaaaaaaaaaaaaaaaaaa
Answer: [tex]y=4x+50[/tex]
Step-by-step explanation:
The function below has at least one rational zero.
Use this fact to find all zeros of the function.
h(x)=2x+10x³-27x²+8x+7
If there is more than one zero, separate them with commas. Write exact values, not decimal approximations.
Answer:
[tex]h \:(x) = 30 \: {x}^{2} - 54x + 10[/tex]
A model car at Target cost $130 after a discount and the original price of the car was $160. What was the percent discount that the store offered?
Answer: the store offered an 18.75% discount on the car
Step-by-step explanation:
Maxie's room is 72 square feet. The carpeting she wants is sold by the square yard. Since 9 square feet is 1 square yard, how many square yards of carpeting does Maxie need?
The quantity of square yards of carpeting that Maxie needs would be = 8 square yards.
How to calculate the quantity of carpeting?The area of the room in square feet = 72 ft²
The carpeting is sold in the measurement of = square yard.
But, 1 square yard = 9 square feet.
Therefore the conversation of 72 ft² to yards²;
= 1 yard² = 9 ft²
X yard² = 72 ft²
Make X the subject of formula;
X= 72/9
X= 8 square yards.
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Calculate Marginal Revenue when output rises from 310 to 370 pounds.
Total Output (Q)
(Pounds)
(1) Price per Pound
($1.50)
(2) Total Revenue
(3) Marginal Revenue
(4)
0 $1.50 $150.00 -
100 $1.50 $375.00
250 $1.50 $465.00
310 $1.50 $555.00
370 $1.50 $660.00
440 $1.50 $690.00
460 $1.50 $840.00
380 $1.50 $570.00
$1.00
$2.50
$2.00
$1.50
Answer:
2.50
Step-by-step explanation:
The marginal revenue when output rises from 310 to 370 pounds is $1.75 per pound.
Given that a table containing Total Output (Q), Price per Pound ($1.50), Total Revenue we need to find the marginal Revenue when output rises from 310 to 370 pounds.
To calculate marginal revenue, we need to determine the change in total revenue when output increases from 310 to 370 pounds.
Total revenue at 310 pounds = $555.00
Total revenue at 370 pounds = $660.00
Change in total revenue = $660.00 - $555.00 = $105.00
Since the change in total revenue is $105.00 and the change in output is 60 pounds, we can calculate marginal revenue as:
Marginal Revenue = Change in Total Revenue / Change in Output
= $105.00 / 60 pounds
= $1.75 per pound
Hence the marginal revenue when output rises from 310 to 370 pounds is $1.75 per pound.
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Calculate the standard deviation of the following data set:
0000000000
0000000000
Ella decides to estimate the volume of a coffee cup by modeling it as a right cylinder. Ella measures its radius as 3 cm and its volume as 212 cubic centimeters. Find the height of the cup in centimeters. Round your answer to the nearest tenth if necessary.
In this question the volume and the height is given.
But we need to find the height of the cylinder
In order to find the height we use the volume of a cylinder formula,
212 = πr²h
Applying the given values in a equation we get
[tex]212[/tex] = [tex]\frac{22}{7} X(3)^{2} X h[/tex]
[tex]212 = \frac{22}{7} X 9[/tex][tex]X h[/tex]
[tex]7.5 = h[/tex]
Please help me with this question.
The increased number of tickets will be 220.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number of tickets is increased by a factor of 1.1. The increased amount will be calculated as:-
Amount = 200 x 1.1
Amount = 220
Hence, the increased number of tickets will be 220.
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The least common multiple
of 10,14, and 3
Answer:
the lcm of 14 10 and 3 is 210
Oil is leaking from pipeline on the surface of lake and forms an oil slick whose volume increases at constant rate of 2000 cubic centimeters per minute The oil slick takes the form of right circular cylinder With both Its radius and height changing with time. (Note: The volume V of right circular cylinder with radius and height h is given by V = Ir"h., (a) At the instant when the radius of the oil slick is [00 centimeters and the height is 0.5 centimeter; the radius is increasing at the rate of 2.5 centimeters per minute. At this instant; what is the rate of change of the height of the oil slick with respect to time, in centimeters per minute? (b) Arecovery device arrives on the scene and begins removing oil: The rate at which oil is removed is R(t) 400 Vr cubic centimeters per minute_ where IS the [IC In MUlCS since the device began working: Oil continues to leak at the rate of 2000 cubie centimeters per minute. Find the time when the oil slick reaches its maximum volume, Justify yoUr answer ,'
a) At the instant when the radius of the oil slick is 100 centimeters and the height is 0.5 centimeters, the volume of the oil slick is given by V = πr^2h = π(100^2)(0.5) = 50,000π cubic centimeters.
Since the volume of the oil slick is increasing at the constant rate of 2000 cubic centimeters per minute, the rate of change of the height with respect to time can be found using the equation:
dV/dt = 2πrh dr/dt + 2πr^2 dh/dt
Setting r = 100 cm, h = 0.5 cm, dr/dt = 2.5 cm/min, and dV/dt = 2000 cm^3/min, we get:
2000 = 2π(100)(0.5) dr/dt + 2π(100^2) dh/dt
Solving for dh/dt, we get:
dh/dt = (2000 - 2π(100)(0.5) dr/dt)/(2π(100^2)) = (2000 - 500π dr/dt)/(200π)
Substituting dr/dt = 2.5 cm/min, we get:
dh/dt = (2000 - 500π * 2.5)/(200π) = (2000 - 1250)/200π = (850 - 1250)/200π = -400/200π cm/min
So, the rate of change of the height of the oil slick with respect to time at this instant is -0.63 cm/min.
b) Let t be the time elapsed since the recovery device began working. The volume of the oil slick at time t is given by:
V(t) = πr^2(h) = π(100^2 + 2.5t)^2(0.5 + 0.63t)
Since the rate of oil removed by the recovery device is R(t) = 400V(t) cubic centimeters per minute, the rate of change of the volume of the oil slick with respect to time is:
dV/dt = 2πr dr/dt h + 2πr^2 dh/dt - 400V(t)
Setting r = 100 + 2.5t, h = 0.5 + 0.63t, dr/dt = 2.5 cm/min, and dh/dt = 0.63 cm/min, and substituting into the equation, we get:
dV/dt = 2π(100 + 2.5t)(2.5) (0.5 + 0.63t) + 2π(100 + 2.5t)^2(0.63) - 400π(100 + 2.5t)^2(0.5 + 0.63t)
Since dV/dt = 2000 - 400V(t), we get:
2000 = 2π(100 + 2.5t)(2.5) (0.5 + 0.63t) + 2π(100 + 2.5t)^2(0.63) - 400π(100 + 2.5t)^2(0.5 + 0.63t) + 400V(t)
This is a nonlinear differential equation that can be solved using numerical methods to find the time when the oil slick reaches its maximum volume. The exact time when the oil slick reaches its maximum volume cannot be determined analytically.
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Need help ASAP Will REWARD
The value of exponential function f (4) is 1,296.
What is the exponential function?
The value of the exponential function is obtained from the common ratio of the resultant value of the number.
f ( 2 ) = 36
f ( 3 ) = 216
common ratio = ( f (3) ) / ( f (2) )
common ratio = ( 216 ) / ( 36 )
common ratio = 6
so, f (2) = 6² = 36
f (3) = 6³ = 216
The value of exponential function f (4) is calculated as follows
Now, f (4) = 6⁴ = 1,296
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using the graph find the value of f(4)
Answer:
Step-by-step explanation:f (4) f (4) Use the slope-intercept form to find the slope and y-intercept. Slope: 4 4 y-intercept: (0,0) (0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
A triangular flag has a base of 26.3cm and a Length (from the base to the (tip) of 52.5cm Find the area of the flag. Round your answer to the nearest tenth
Choose the correct graph to fit the equation
The equation of the line passing through (2, 3) and (-1, -1). is 3y = 4x + 1
What is an equation?An equation is an expression that shows how two or more numbers and variables are related to each other. Types of equations can either be linear, quadratic or cubic
The standard form of a linear equation is:
Ax + By = C
Where A, B and C are constants
The slope intercept form of a linear function is:
y = mx + c
m is the rate of change and b is the y intercept
The graph passes through (2, 3) and (-1, -1). Hence:
y - 3 = [(-1-3)/(-1-2)] (x - 2)
y - 3 = (4/3)(x - 2)
multiply through by 3:
3y - 9 = 4(x - 2)
3y - 9 = 4x - 8
3y = 4x + 1
The equation of the line is 3y = 4x + 1
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