The total cost of the materials used to construct the wheel is $51.57
What is the total cost?The total cost of the materials used to construct the wheel is the sum of the total cost of the wood and the rubber.
Total cost = total cost of the wood + total cost of the rubber
Total cost of the wood = (area of the wood used x cost per square foot) + (circumference of the wheel x cost of the rubber)
Area of the wood = πr²
Where :
π = pi = 3.14
R = radius
3.14 x 1.5² = 7.065 ft²
Total cost of the wood = $17.66
Circumference of the wood = 2πr
2 x 3.14 x 1.5 = 9.42 feet
Total cost of the rubber = 9.42 x 3.60 = $33.91
Total cost of the materials = $33.91 + $17.66 = $51.57
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What’s the slope? Please help
The slope of the linear relationship is -4/6
How to determine the slope of the lineThe general formula for the equation of a line is expressed as;
y = mx + c
Given that the parameters are;
y is a point on the y -axis of the linem is the slope of the linex is a point on the x - axis of the linec is the intercept of the line on the y-axisThe formula for determining the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
From the diagram shown, we have to substitute the values into the formula, we get;
Slope, m = -6 - (-2)/11 - 5
Expand the bracket
Slope,m = -6 + 2/6
Subtract the values
Slope, m = -4/6
Hence, the value is -4/6
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She tells you to follow the steps below.
Step 1: Plot the point (1, -3).
Step 2: Plot more points by moving up 2 and right 1.
Step 3: Draw a line through the points and put arrows on the ends..
Annie made a mistake.
What was her mistake? How should she fix her mistake?
The correct illustration of plotting the points is attached in the image.
few of the points are (2, - 1), (3, 1), (4, 3), and (5, 5).
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From the given information first, we plot a point (1, - 3) on the x-y coordinate.
Plotting more points by moving up 2 and right 1 would be, (x + 1, y + 2).
So, Some of such points are,
(2, - 1), (3, 1), (4, 3), and (5, 5).
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Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone. Which graph best represents this situation?
The graph will have a slope of 15 and is attached with the answer below.
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.
The equation can be written as:-
y = kx
The value of k will be calculated as :-
60 = k x 5
k = 60 / 5
k = 12
The equation will be:-
y = 12x
The graph of the linear relation is attached with the answer below.
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I need help on This question I’ll give you brainliest
Please help fast
And explain too
The simplified expression is (11/4)z + (15/2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3/4 (z + 2/5) + 2z
Multiplication over addition.
= (3/4)z + (3/4)x(2/5) + 2z
= (3/4)z + (15/2) + 2z
Combining the like terms.
= (3/4)z + 2x + (15/2)
= (11/4)z + (15/2)
Thus,
(11/4)z + (15/2) is the simplified expression.
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How much of a radioactive kind of nitrogen will be left after 30 minutes if you start with
1,920 grams and the half-life is 10 minutes?
grams
The amount of radioactive kind of nitrogen will be left after 30 minutes
is 240 grams.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A radioactive kind of nitrogen has an initial mass of 1930 grams and it has a half-life of 10 minutes.
Therefore, The amount of radioactive kind of nitrogen that will be there after 30 minutes is,
= 1920/2³. (As 30 = 10×3)
= 1920/8.
= 240 grams.
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Abdoulaye bought headphones online for $57. He used a coupon code to get a 40% discount. The website also applied a 15% processing fee to the price after the discount. How much was the discount, in dollars and cents?
The discount in the price of the headphones is of $17.67
How much was the discount?
If we apply a discount of D (D is the percentage in decimal form).
Then the new value (using A as the initial value) is:
A' = A*(1 - D)
If instead, we have an increase of I (also in decimal form) the new value is:
A' = A*(1 + D)
Here the original value is $57, and we have a discount of 0.4 and an increase of 0.15, then the new value will be:
A' = $57*(1 - 0.4)*(1 + 0.15) = $39.33
Then the discount is of:
$57 - $39.33 = $17.67
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(logarithms) help w this question the assignment is due at mid night
Answer:
Step-by-step explanation:
The hydrogen ion concentration of a solution can be calculated from the pH using the equation:
[H*] = 10^(-pH)
So for the apple juice with a pH of 3.1:
[H*(apple juice)] = 10^(-3.1) = 0.0005
And for the drinking water with a pH of 8.3:
[H*(drinking water)] = 10^(-8.3) = 1.7 x 10^(-9)
To find the ratio of the hydrogen ion concentration in apple juice to that in drinking water, we divide the concentration of the apple juice by the concentration of the drinking water:
[H*(apple juice)] / [H*(drinking water)] = 0.0005 / (1.7 x 10^(-9)) = 2.94 x 10^9
Therefore, the hydrogen ion concentration in apple juice is 2.94 x 10^9 times the concentration in drinking water.
_____________________________________________________
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which of the following is always true for all probability density functions of continuous random variables?
A. The area under the curve of the probability density function must sum to 1.
Probability density functions of continuous random variables are used to represent the probability of a given outcome within a specific range. The area under the curve of the probability density function is equal to the probability of the outcome occurring. As the area represents the probability of any outcome occurring, the sum of the area under the curve must always equal 1. Therefore, it is always true that the area under the curve of the probability density function must sum to 1.
The complete question is :
Which of the following is always true for all probability density functions of continuous random variables?
A. The area under the curve of the probability density function must sum to 1.
B. The probability density function must be symmetric.
C. The probability density function must be positive.
D. The probability density function must be decreasing.
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Jim has $7.00 that he uses to purchase school lunch. He spends the same amount of money each day. Which expression can be used to show how much Jim spend on lunch each day?
The expression can be used to show how much Jim spend on lunch each day is y = 7
Which expression can be used to show how much Jim spend on lunch each day?Amount Jim uses to purchase school lunch = $7.00
Amount with Jim = y
If Jim has the same amount of money and spends the amount he has on school lunch each day;
y = 7
Therefore, Jim spent a total of $7 each day on lunch.
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A group of friends wants to go to the amusement park. They have no more than $345 to spend on parking and admission. Parking is $17.25, and tickets cost $28.75 per person, including tax. Write and solve an inequality which can be used to determine p p, the number of people who can go to the amusement park.
An inequality that can be used to determine p, the number of people who can go to the amusement park, is,
28.75p + 17.25 ≤ 345.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A group of friends wants to go to the amusement park.
They have no more than $345 to spend on parking and admission.
Parking is $17.25, and tickets cost $28.75 per person, including tax.
An inequality that can be used to determine p, the number of people who can go to the amusement park, is,
28.75p + 17.25 ≤ 345.
Therefore, an inequality is 28.75p + 17.25 ≤ 345.
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What is the angles to this
Answer:
AA
Step-by-step explanation:
cus it can't be the other cus there is no side
Which unit rate corresponds to the proportional relationship shown in the graph?
Drag and drop the answer into the box to match the graph with its unit rate.
Answer:
Step-by-step explanation:
r:4/3 cm/s or 1.33 cm/s
Graph the following system of equations.
y = 3x + 9
6x − 2y = 6
What is the solution to the system?
A There is no solution.
B There is one unique solution (−1, −6).
C There is one unique solution (0, −3).
D There are infinitely many solutions.
The given system of simultaneous equations has no solutions.
What is system of simultaneous equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given is the system of simultaneous equations as -
y = 3x + 9
6x − 2y = 6
Refer to the graph of the equations attached. The value of {x} and {y} for which both the equations are true is given by the point of intersection of both lines. Since both lines are parallel, there is no point of intersection and hence no solution.
Therefore, the given system of simultaneous equations has no solutions.
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let ct number of children in indiana at the beginning of year t, and at number of adults in indiana at the beginning of year t. during any given year, 5% of all children
In Indiana become adults, and the number of children in Indiana increases by 2% as a result of births and immigration. If we let c0 = 6 million and a0 = 4 million.
Then the population of Indiana can be modeled by the following recursive equation:
ct = (1 + 0.02) * ct-1 + 0.05 * at-1
at = (1 - 0.05) * ct-1
This equation models the growth of the population of Indiana based on the number of children and adults in the previous year, taking into account the conversion of children into adults and the growth in the number of children.
The given information states that during any given year, 5% of all children become adults, while adults stay the same. Hence, the number of adults in year t can be determined as follows:
at = (1 + 0.05) * ct-1
Where ct-1 is the number of children in the previous year. This equation reflects that the number of adults in year t is the sum of the adults from the previous year plus 5% of the children in the previous year.
This model assumes that the growth in the number of adults is solely dependent on the children becoming adults, and no other factors, such as migration, birth, or death, are considered. This model is also based on the assumption that 5% of the children will become adults each year, which may not hold true in reality.
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Calculators were purchased at $80 per dozen and sold at $25 for three calculators. What is the profit on six dozen calculators?
Answer:
$120
Step-by-step explanation:
Buying price
$80×6= $480
Selling price
$25×4×6= $600
Profit
$600-$480=$120
The profit on six dozen calculators is $120.
To calculate the profit on six dozen calculators, we need to find the cost of purchasing six dozen calculators and the revenue from selling six dozen calculators.
Step 1: Calculate the cost of purchasing six dozen calculatorsSince each dozen costs $80, the cost of purchasing six dozen calculators is:
$80 x 6 = $480
Since three calculators are sold for $25, the revenue from selling six dozen calculators is:
$25 x (6 x 12/3) = $25 x 24 = $600
The profit is the revenue minus the cost:
$600 - $480 = $120
The profit on six dozen calculators is $120.
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statistics values parameters
Answer:
Step-by-step explanation:
3/8 of the plants neede3/8 of the plants needed water. 63 plants need water. How many plants are there total?d water. 63 plants need water. How many plants are there total?
The total number of plants is given as follows:
168 plants.
How to obtain the total number of plants?The total number of plants is obtained applying the proportions in the context of this problem.
The variable that represents the total number of plants is given as follows:
n.
The fraction of the number of plants that needed water is given as follows:
3/8.
The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:
3n/8 = 63
3n = 63 x 8
n = 21 x 8(simplifying by 3).
n = 168 plants.
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Two lines p and q intersect at X at an angle of 34 degrees Let A be a point inside the 34 degrees angle formed by p and q. Let B be the reflection of A through line p, and let C be the reflection of A through line q. Find angle BAC, in degrees.
Angle BAC is equal to 72 degrees, which is calculated by subtracting 2 times the angle of intersection between lines p and q (34 degrees) from 180 degrees.
Given that two lines p and q intersect at X at an angle of 34 degrees
Let A be a point inside the 34 degree angle formed by p and q
Then, let B be the reflection of A through line p, and let C be the reflection of A through line q
To find angle BAC,
we must first understand that a reflection of a point across a line results in an angle equal in measure to its original angle, but on opposite sides of the line of reflection.
In this case, because A is inside the 34 degree angle formed by lines p and q,
angle AXB must be equal to 34 degrees
angle AXC must also be equal to 34 degrees
Therefore, angle BAC must be equal to 180 degrees minus 2 times 34 degrees, or 72 degrees.
In conclusion, the angle BAC is equal to 72 degrees.
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Worth 25 points! Pls show work on both questions inside of the picture.
What is halfway between 39.8 and 39.81
Answer: 39.805
Step-by-step explanation: 39.81 - 39.8 = 0.01
0.01 x 0.5 = 0.005
39.8 + 0.005 = 39.805
18. Relative to a fixed origin O, the points A, B and C have position vectors given respectively by i+j, -2i+k, and 2 i + j+3k. (a) State the vector equation of line OC. (b) If the point P lies on the line OC such that PA PB has the minimum value, find the coordinates of P.
Answer:
Step-by-step explanation:
e.g. r = 2i – k + λ(4i – 7j + 5k).
(50 POINTS AND BRAINLYEST)
Find the area of the following shape. Make sure to indicate what shapes were used, by sketching on the image, listing
formulas, and show work listed for each shape. (5 total points – 2 for accurate shapes, 2 for accurate work, 1 for total
area answer)
The total area from given figure is 53.13 square units.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
From the graph, we can see three shapes rectangle with length= 6 units and width= 5 units, triangle with height = 6 units and base = 3 units and semicircle with diameter = 6 units
Here, area of a rectangle is Length×Width
= 6×5
= 30 square units
Area of a triangle = 1/2 ×Base×Height
= 1/2 ×3×6
= 9 square units
Area of a semicircle = πr²/2
= 3.14×3²/2
= 3.14×4.5
= 14.13 square units
Total area = 30+9+14.13
= 53.13 square units
Therefore, the total area from given figure is 53.13 square units.
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please explain the reasoning!!
Answer:
No, the rectangles are not proportional.
Step-by-step explanation:
I say this because the area of the first one is 10ft x 12ft = 120 ft
But, the answer to the second rectangle is 9ft x 8ft = 72ft
Proportional means corresponding in size
So, the rectangles above are not proportional.
Hope this helps!
which of the following is the most reasonable product of 5 5/29 and 3 12/13
5
10
15
20
The correct statement predicting the closest product is : 20
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here : Two mixed fractions as 5⁵/₂₉ and 3¹²/₁₃
But 5⁵/₂₉=150/29 and 3¹²/₁₃=51/13
Thus the product of the two mixed fractions are as follows
150/29×51/13 =20.292
Clearly the most reasonable product is 20
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How much did Speedy Movers borrow for a debt that accumulated to $52,467.60 in four years? The interest rate was 4.68% compounded semi-annually.
The amount (present value) that Speedy Movers borrowed for a debt that accumulated to $52,467.60 in four years was $43,604.16.
What is the difference between the present value and future value?The present value is the amount that Speedy Movers borrowed four years ago at 4.68% interest compounded semi-annually to accumulate to a future value of $52,467.60.
The present value is determined using discounting while the future value is computed by compounding.
We can determine both the present value and the future value using an online finance calculator.
N (# of periods) = 8 semiannual periods (4 years x 2)
I/Y (Interest per year) = 4.68%
PMT (Periodic Payment) = $0
FV (Future Value) = $52467.60
Results:
Present Value (PV) = $43,604.16
Total Interest = $8,863.44
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Please help, I'm stuck in this math problem
The quotient is 32 and the remainder is 6.
i.e,
32 R6
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
774 ÷ 24
24 ) 774 ( 32
768
6
The quotient is 32 and the remainder is 6.
Now,
We can write in this form,
(Quotient) R(remainder)
Thus,
The quotient is 32 and the remainder is 6.
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Please help asap!!
Try ur best <3
• will give u brainliest
The required solution of the given graph is given as,
(a) Domain = [-2, 2]
(b) Range = [0, 2]
(C) Function, yes given graph is of absolute function.
The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.
Here,
From the graph, Function is defined for x = -2 to x = 2
So the domain of the function is given as [-2, 2].
For the respective domain, the range of the function is given as[0, 2].
Also, yes the relation shown in the graph is a function,
F(x) = -|x| + 2
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X(x+8)=-20
Help solve with work
Answer:
-4+4i and -4-4i
Step-by-step explanation:
To start off, we can distribute the x into the x+8 to get x^2 + 8x = -20. From here we can create a polynomial by moving the -20 to the other side by adding 20 to both sides to get x^2 + 8x +20 =0. From here we can check if there is any real solutions by finding the discriminant (the sqrt part of the quadratic formula) so 8^2-4(1)(20). 16-80. Because this gets us a negative number in an actual square root, there answers we would get would be imaginary.
However to solve what the roots are, we would plug the entire equation into the quadratic equation. Getting -8+- sqrt(-64)/2 which simplified is -4+-4i. Therefore our two answers are -4+4i and -4-4i