here in equation function, John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.
How do equations function?To create an equation, multiplying and dividing are used to separate constants and variables. In an equation, terms in various forms on each side of the equality sign are equal. John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.To create an equation, multiplying and dividing are used to separate constants and variables.
so we have,
John had paid $8.00 an hour and waits tables
Therefore,
In 29 hours, he earns -
[tex]= 40 X 8\\= 320 $[/tex]
Via tups, he earned 210.50$
So, in total he earns
[tex]= 320 + 210.50\\= 530.50 $[/tex]
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Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.
The length of each of the four walls of the birdhouse is 5.5 inches, so the total length of all four walls is approximately 4 x 5.5 = 22 inches. Therefore, Javi's board is long enough to be cut into the four walls of the birdhouse.
What is the wall equation?Walls. Utilize the conventional equation Length x Width = Area to get the area of a wall. Next, apply the same calculation to each window and door's specific area. Subtract the area of the windows and doors from the overall size of the wall once you have recorded all of these dimensions.
The birdhouse must have four walls that are each 5.5 inches thick.
one room needs four walls because of the length of its four walls.
4*5.5=22
A board measuring 24.5 inches long is in Javi's possession. In order to cut through the birdhouse's four walls, it is sufficient.
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Solve the following problems.
1. The daily demand for copies of a movie magazine at a variety store has the probability distribution as
follows.
Number
of Copies
Х
0
1
2
3
4
5
6
7.
18
9
10
P(X)
0. 06 0. 14 0. 16 0. 14 0. 12 0. 10
0. 08 0. 07
0. 06
0. 04 0. 03
a) What is the probability that 3 or more copies will be demanded in a particular day?
The probability that 3 or more copies will be demanded in a particular day is 0.64.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.
This can be written in an equational form -
P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03
P(x) = 0.64
Therefore, the probability is 0.64.
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Tyrell is traveling to Chicago, Illinois. He takes a cab service from the airport to his hotel. The table shows the linear relationship between the number of miles the cab travels, x, and the total fee, y.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
What does the y-intercept mean in this situation?
When the cab travels 0 miles, the total fee will be $14.00.
When the cab travels 0 miles, the total fee will be $1.50.
For every additional mile the cab travels, the total fee increases by $14.00.
For every additional mile the cab travels, the total fee increases by $1.50.
The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.
What is the y-intercept?The formula to find the y-intercept is y = f(x), where x = 0, and then solve for y.
The equation for a linear relationship is y = mx + b, where x is the independent variable, y is the dependent variable, m is the slope of the line, and b is the y-intercept.
Cab Fare
Number of Miles Total Fee
2 $17.00
5 $21.50
7 $24.50
10 $29.00
15 $36.50
Difference between 7 and 5 = 2
Difference between $24.50 and $21.50 = $3
Variable cost per mile (Slope) = Rise/Run
= $1.50 ($3/2)
y = mx + b
y-intercept, b = 24.50 - 7(1.5)
= 14
= $14.00
Thus, the y-intercept in this situation means Option A while the slope shows that for every additional mile, the total fee increases by $1.50.
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Answer:
The y-intercept in this situation means A. When the cab travels 0 miles, the total fee will be $14.00.
Step-by-step explanation:
I want to know why B is the correct answer.
Answer:
Choice B. 2395.83 cm^3
Step-by-step explanation:
V = [tex]\frac{lwh}{2}[/tex] = [tex]\frac{(25)(12.5)(23)}{2}[/tex] = 2395.83333 = 2395.83cm^3
Answer:
oki! hope this explanation will help you! my last answer was deleted sooo...
Step-by-step explanation:
To find the volume of the pyramid, the formula is 1/3 x height x base
In this case...
the height:23 cm
the base:312.5 [tex]cm^{2}[/tex]
and the equation is 1/3 x 23 x 312.5
which will be 2395.8333333(and more 3!)
We round it in the hundreths place and get 2395.83(aka option B) as the answer!
The sides of a square measure 4 ft. Which is the length of the diagonal of the square?
A.8 ft
B.43 ft
C. & ft
D. 8/2 ft
E. 4√2 ft
Answer:
4√2 ft
Step-by-step explanation:
Which is the graph of a quadratic function that has a discriminant value of 0? blue, green, yellow, or purple?
How do I solve e less than 5?
Answer:
e-5
Pretty simple
Help with number 1 please I’ll give brainleist.
Answer:
75%
Step-by-step explanation:
First, take a look at the equation.
4, 500(1.75)^t
4500 is the y-intercept, or the INITIAL VALUE, as given in the information.
Exponential Growth is shown when the percentage is added to 1. For example, in this case, it's 1+0.75, which equals 1.75.
Therefore, annually, it increases by 75%.
HELP
i just need to make sure my answers are right (i will check the answer after i do it)
A corporation earned a profit of $2.5 x 104 for 1 x 10³ days in a row. What was the corporation's total profi
during this time period?
Total profit earned = 25000000 dollars
What is profit?Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.
What is the total profit during this time period?Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row
total profit earned during this time = $(2.5 × 10⁴ × 10³)
$2.5 × 10⁷
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Que es un variable? (De matemáticas)
Answer:
[tex]\huge\boxed{Que \ es \ un \ variable \ ?\hookleftarrow}[/tex]
✐ En matemáticas, una variable es un símbolo que funciona como marcador de posición para expresiones o cantidades que pueden variar o cambiar; se utiliza a menudo para representar el argumento de una función o un elemento arbitrario de un conjunto. Además de los números, las variables se utilizan comúnmente para representar vectores, matrices y funciones.
Quentin is filling a glass that holds cups of water. He is using a cup measuring cup. How many times will he have to fill the smaller measuring cup to equal cups
So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.
What is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. 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. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
Glass holds = 1(3/4) cups of water
One cup holds = 1/4 cup of water
number of 1/4 cups needed to fill the 1(3/4) cups of water glass.
[tex]\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4[/tex]
number of times the smaller cup fills the glass is 7.
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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?
A tore i having a ale on almond and jelly bean. For 5 pound of almond and 2 pound of jelly bean, the total cot i $12. For 3 pound of almond and 8 pound of jelly bean, the total cot i $31. Find the cot for each pound of almond and each pound of jelly bean
b = $3.5 the cost of each pound of jelly beans.
a = $1, the cost of each pound of almonds
What is the elimination method?
The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.
Here,
We let a be the almond and b be the jelly bean.
5a + 2b = $12....(1)
3a + 8b = $31....(2)
...Solving by elimination method.
5a = 12 - 2b
a = (12 - 2b)/5
Now, we put the value of a in equation(2)
3a + 8b = $31
3(12 - 2b)/5 + 8b = 31
(36 - 6b)/5 + 8b = 31
36 - 6b + 40b = 155
34b = 155 - 36
34b = 119
b = $3.5 the cost of each pound of jelly beans.
a = $1, the cost of each pound of almonds.
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For the figure below the base area and the height has been provided. find the VOLUME
Answer:
Step-by-step explanation:
To find the volume of this solid, multiply the base area by the height:
V = (25 cm²)(4 cm) = 100 cm³
The required volume of the solid will be 100 cm³ in the given figure.
What is the volume of a Solid?The volume of a solid is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.
The solid is given has the base area and the height provide the following:
The base area of the solid = 25 cm²
The height of the solid = 4 cm
As per the given figure, the required solution would be as:
To find the volume of the given solid, multiply the base area by the height:
The volume of the solid = The base area x The height
The volume of the solid = (25 cm²) x (4 cm)
Apply the multiplication operation, and we get
The volume of the solid = 100 cm³
Therefore, the required volume of the solid will be 100 cm³ in the given figure.
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help
I'll give brainliest
Answer: I believe the answer is 5
Answer:
in the first question you use the cosine rule to solve the problem since you have one angle and two sides of the triangle and the rules states thus x square is equal to 5 squid + 8 squared -2 * 5 * 8 x cos 60
When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
g c
4 15.80
8 31.60
11 43.45
15 57.25Choose all of the following statements that are true.
Select one or more:
a.
The range is {15.80, 31.60, 43.45, 57.25} .
b.
The set of independent values is {15.80, 31.60, 43.45, 57.25}.
c.
The range is {4, 8, 11, 15}.
d.
none of these
e.
The set of independent values is {4, 8, 11, 15}.
The two statements that are true about the table are:
A) "The range is {15.80, 31.60, 43.45, 57.25} ."
B) "The set of independent values is {4, 8, 11, 15}."
Which statements are true?Here we have the table for number of gallons and the costs of these:
g c
4 15.80
8 31.60
11 43.45
15 57.25
The statements that are true about that table are:
"The range is {15.80, 31.60, 43.45, 57.25} ."
This is true, the cost is the output of the table, thus, the range is that.
"The set of independent values is {4, 8, 11, 15}."
This is also called the domain, which is the input, in this case, the number of gallons of gas.
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Mr. McDonald just bought a farm tractor for $50,000. For tax purposes, its value is expected to
depreciate at a rate of 16% annually. What will the tractor's value be in 4 years? Round to the
nearest hundredth (cent).
Answer:
$24,893.40
Step-by-step explanation:
Year 1
50,000 x 0.16 = 8,000
50,000-8,000 = 42,000
Year 2
42,000 x 0.16 = 6,720
42,000-6,720 = 35,280
Year 3
35,280 x 0.16 = 5644.80
35,280-5644.80= 29,635.2
Year 4
29,635.2x0.16 = 4,741.6
29,635-4,741.6 = $24,893.40
Arithmetic sequence please help
10. a. The sequence is arithmetic as the difference between the next term and the previous term is constant.
b. The 200th term of the sequence is 1382.
c. 100 is not a member of the sequence.
11. a. u₁ is even and d is also even.
b. u₁ is odd and d is even.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, u₁ = - 12 and uₙ₊₁ = uₙ + 7.
So,
u₂ = u₁₊₁ = - 12 + 7 = - 5.
Similarly, u₃ = - 5 + 7 = 2 and u₄ = 9.
So, The terms have a common difference o 7 and hence it is an arithmetic sequence.
We know, uₙ = u₁ + (n - 1)d.
Therefore, u₂₀₀ = u₁ + (200 -1)×7.
u₂₀₀ = - 12 + 199×7.
u₂₀₀ = - 12 + 1393.
u₂₀₀ = 1382.
Now, Determining whether 1000 is a member of the sequence.
Let, 1000 = - 12 + (n - 1)×7.
1012 = 7n - 7.
1019 = 7n, Here is not completely divisible hence 1000 is not a member of the sequence.
11. When all the terms of an AP is even the first term u₁ is even and the common difference would also be even and when all the terms of an AP are odd the first term u₁ would be odd and the common difference d would e even, as odd - odd = even.
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simplifying radicals worksheet algebra 2
Therefore , the solution of the given problem of expression comes out to be √14q × 2√4q = 4q√14.
Describe expression.combinations of numbers, symbols, and operations (such + and) that show how much something is worth. Examples: • 2 + 3 is the formula.
• 3 x/2 variable is another formula.There is no equals sign in the expression. A mathematical expression is a sentence made up of variables, numbers, or both. There is never an equal symbol in an expression. These expressions are examples. An equation is a mathematical statement proving the equality of two expressions.
Here,
The simplified expressions are 20 = 25, 56x2 = 2x14, [150x3k4] = 5xk26x, and 14q 24q = 4q14 given the facts from the question.
Simplifying the surd
A perfect square must be one of the components for a number to be written as just surds.
How to Make 20 Recall Simpler
20 = 4 × 5
Thus,
√20 = √(4 × 5)
√20 = 2√5
simple methods √(56x²)\s√(56x²) = √56 × √x²
Recall
√56 = √(4 × 14) = 2√14
√x² = x
Thus,
√(56x²) = 2√14 × x
√(56x²) = 2x√14
simple methods [150x3k4] = [150x3k4] = [150x3k4]
Recall
√150 = √(25 × 6) = 5√6
√x³ = √(x² × x) = x√x
√k⁴ = k²
Thus,
√[150x³k⁴] = 5√6 × x√x × k²
√[150x³k⁴] = 5k²x√6x
How to simplify 14q 2 4q: 14q 2 4q = 2
(14q × 4q)
√14q × 2√4q = 2 × 2q√14
√14q × 2√4q = 4q√14
Therefore , the solution of the given problem of eexpression comes out to be √14q × 2√4q = 4q√14.
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Find the measure of the indicated angle. Need help please.
I need explanation
THANK YOU
Answer:
I think I got the answer. See picture attached : )! Also sorry if my handwriting is bad! I hope this gives you a better understanding,have a good day!
Click on the solution set graphic until the correct one is displayed.
Answer: I can't answer that because it's not a question
Step-by-step explanation:
What does it mean to solve an equation by substitution?
The value of a variable from one equation is substituted in the other equation when using the substitution method.
The graphic approach and the algebraic method are the two main categories into which simultaneous linear equations can be solved. One of the categories of the algebraic approach is the substitution method. The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
Steps for Substitution method:
Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variableTherefore in the Substitution method, The value of a variable from one equation is substituted in the other equation.
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Suppose that a population parameter is 0.7 and many samples are taken
from the population. If the size of each sample is 30, what is the standard
error of the distribution of sample proportions?
A. 0.008
B. 0.084
C. 0.115
D. 0.141
Answer:
b
Step-by-step explanation:
The standard error of the distribution of sample proportions is 0.084
The correct option is (B).
What is standard error?Standard error is calculated by dividing the standard deviation of the sample by the square root of the sample size.
Given: population parameter: 0.7, n=30
Standard error: √[p (1 - p) / n]
= √[0.7 (1 - 0.7) / 30]
= √[0.7*0.3 / 30]
= √0.21 / 30
= √0.007
=0.0836
=0.084
Hence, the standard error is 0.084.
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how to find unknown side
Answer:
C = 10
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2}[/tex]
You have a and b already, a = 6, b = 8
[tex]6^{2} +8^{2} =c^{2} \\\\[/tex]
solve this to get
[tex]64 + 36 = \sqrt{100}[/tex]
C = 10
Apply the same to the other 2 triangles. C is your longest side!
358 800 ÷ 10000000 0000
Answer:
0,000003588
Step-by-step explanation:
the answer is 0 :)
Step-by-step explanation:
LOL.......................... -,-
When two rotations are performed on a single figure, does the order of the rotations sometimes, always, or never affect the location of the final image? Explain.
When two rotations are performed on a single figure, the order of the rotations never affect the location of the final image.
What is the rotation?In mathematics, rotation is defined as that of the circular movement of an object around with a center, an axis, or a fixed point. Since rotations are rigid transformations, the size, length, shape, and angle measurements of the figure are maintained.
Precession, nutation, and intrinsic rotation are the names of these rotations. The rotation of the earth on its axis is one of the greatest instances of rotation in nature.
There are broad guidelines for rotations of 90, 180, and 270 degrees around the origin that are both clockwise and anticlockwise. Counterclockwise. X and Y are rotated by 90 degrees that means (x , y) ----> (-y , x); Rotation of 180 degrees: (x, y) —- (-x , -y); Rotation of 270 degrees: (x, y) —- (y , -x).
Here two times rotation means 180 degrees that means no change in the final image.
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A drum of oil has a height of 4 feet and a radius of 1.2 feet. The oil cost $22 per cubic feet. What is the cost to fill the drum of oil
The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.
What is cubic feet?An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.
The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.
Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.
We have to calculate the cost to fill the drum with oil.
Since formula to get the volume of the drum is V = πr²h
V = 3.14×(1.2)²×4 = 18.09 feet³
Now the cost of oil to fill the drum will be
Cost = Volume × cost = 18.09×22 = $397.90
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Find the product using any method. (Please help me on this!)
Answer:
The answer is (4x² - 36x + 81)
Step-by-step explanation:
Given(2x - 9)²Property Used(a - b)² = a² - 2ab + b²So,
(2x - 9)² = (2x)² - 2(2x)(9) + (9)²
(2x - 9)² = 4x² - 36x + 81
Thus, The product of (2x - 9)² is (4x² - 36x + 81)
How many solutions exist for the given equation 3 x 10 6 3 x 12?
There are no solutions for the equation 3x106 3x12.
The equation 3x106 3x12 can be rearranged to 3x106 - 3x12 = 0. This is a linear equation and can be solved using the equation ax+b=0, where a is the coefficient of the variable and b is the constant.
In this case, a = 3 and b = -3x106. To solve this equation, we can use the quadratic formula, which states that x = -b ± √b2 - 4ac / 2a.
Substituting the values for a, b, and c yields x = -(-3x106) ± √(3x106)2 - 4(3)(-3x106)/2(3). Simplifying this yields x = 3x106 ± √9x1012 - 36x1012/6.
This simplifies to x = 3x106 ± √-27x1012/6. Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no solutions for the equation 3x106 3x12.
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Mia had 11/15 pounds of flour. She makes a cake with 2/15 pounds of flour.how much flour is left? Write as a fraction in simplest form
Answer: 3/5
Step-by-step explanation:
11/15-2/15=9/15
9/15 simplified is 3/5 :D have a nice day! hoped this helped!