Answer:
The choice C.
\(12 \frac{1}{2} \)
Step-by-step explanation:
\(( \frac{4}{5} - \frac{1}{3} ) \times {5}^{2} + \frac{5}{6} \\ \\ ( \frac{12}{15} - \frac{5}{15} ) \times 25 + \frac{5}{6} \\ \\ ( \frac{12 - 5}{15} ) \times 25 + \frac{5}{6} \\ \\ ( \frac{7}{15} ) \times 25 + \frac{5}{6} \\ \\ \frac{35}{3} + \frac{5}{6} \\ \\ \frac{70}{6} + \frac{5}{6} = \frac{75}{6} \\ \\ = \frac{25}{2} = 12 \frac{1}{2} \)
I hope I helped you^_^
What is the value of the expression 1 2 3 4 5?
The value of the given and completed expression in this problem is
-1
What are combined operations?Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.
In this case we have an arithmetic polynomial.
We complete the expression as follows:
1 + 2 - 3 + 4 - 5
We group the positive terms on one side and negative terms on the other:
(1 + 2 + 4) - (3 + 5)7 - (8)-1The value of the expression (1 + 2 - 3 + 4 - 5) is -1
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What’s an ordered pair of y ≤ -2
An ordered pair representing the interval y ≤ -2 is given as follows:
(3, -3).
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
The inequality for this problem is given as follows:
y ≤ -2.
The meaning of the inequality is given as follows:
The x-coordinate can assume any value.The y-coordinate must assume a real value that is of -2 or less.Hence one ordered pair representing the interval y ≤ -2 is given as follows:
(3, -3).
As the y-coordinate assumes a value of -3, which is less than -2.
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Perdaris Enterprises had an expenditure rate of
E' (x) = e'. * dollars per day and an income rate of I'(x) = 98.8 - °Is dollars per day on a particular job, where r was the number of days from the start of the job. The company's profit on that job will equal total income less total expendi- tures. Profit will be maximized if the job ends at the optimum time, which is the point where the two curves meet. Find the
following.
(a) The optimum number of days for the job to last
(b) The total income for the optimum number of days
(c) The total expenditures for the optimum number of days
(d) The maximum profit for the job
Profit = I(x) - E(x).Evaluating this expression using the optimal value of x will give us the maximum profit for the job.
To find the optimum number of days for the job, we need to determine when the income rate, I'(x), equals the expenditure rate, E'(x). Setting them equal to each other, we have:
98.8 - 0.5x = e'
Solving for x, we find that x = (98.8 - e') / 0.5. This gives us the optimum number of days for the job.
To calculate the total income for the optimum number of days, we substitute this value of x into the income function, I(x). So the total income, I(x), will be:
I(x) = ∫(98.8 - 0.5r) dr from 0 to x
Integrating and evaluating the integral, we obtain the total income.
To find the total expenditures for the optimum number of days, we substitute the same value of x into the expenditure function, E(x). So the total expenditures, E(x), will be:
E(x) = ∫(e') dr from 0 to x
Again, integrating and evaluating the integral will give us the total expenditures.
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Solve the following equations ( 2 equations with 2 unknowns) for x in terms of: m,g,h. Refer to Appendix A : Math Review if necessary. (10 pts) 6x=9y5y2=mgh 4. Solve the following equations ( 2 equations with 2 unknowns) for x in terms of: m,M,g,h. (20 pts) mx=(m+M)y21(m+M)y2=(m+M)gh
x in terms of m, M, g, and h is x = y^2 / (mgh). M is an additional variable introduced, which was not mentioned in the initial problem statement.
To solve the given equations for x in terms of m, g, and h, we will solve each equation step-by-step:
Equation 1: 6x = 9y + 5y^2 = mgh
Step 1: Rearrange the equation to isolate x:
6x = mgh - 9y - 5y^2
Step 2: Divide both sides by 6:
x = (mgh - 9y - 5y^2) / 6
Therefore, x in terms of m, g, and h is:
x = (mgh - 9y - 5y^2) / 6
Equation 2: mx = (m + M)y^2 / (m + M)gh
Step 1: Simplify the equation by canceling out (m + M) on both sides:
mx = y^2 / gh
Step 2: Divide both sides by m:
x = y^2 / (mgh)
Therefore, x in terms of m, M, g, and h is:
x = y^2 / (mgh)
Please note that in Equation 2, M is an additional variable introduced, which was not mentioned in the initial problem statement. If you have any specific values for M or any further information, please provide it, and I can adjust the solution accordingly.
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pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you please I beg you no n no no no link
Answer:
fist silde =is 15,4,25
second slide is=18
third slide is=15,31,25
Step-by-step explanation:
sorry i cant get the 4th and 5th ones. but i mean you can mark me brainliest.
hope you have a great day and god loves u<3
Answer:
6..... left side: 4, right side: 15 and 25 7.... 18 centimeters 8..... left side: 15 and 25, right side: 28 9..... 8 weeks 10.... left side: 20, right side: 27, 45.
Step-by-step explanation:
I hope this helped you! I would write the explanation for each problem but that would take to long.
a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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need help with this
Answer:
\(-5x^2-26\)
Step-by-step explanation:
\((f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26\)
An ______ consists of two different rays with a common endpoint.
Answer:
angle
Step-by-step explanation:
An angle consists of two rays joined together. The rays are joined at the vertex.
Answer:
angle
Step-by-step explanation:
An angle consists of two different rays with a common endpoint.
An angle is formed by two rays that originate from the same point, called the vertex. The rays are referred to as the sides of the angle, and their measurement determines the size of the angle.Is 1,-9 a solution to y=-9
Answer:
yes
Step-by-step explanation:
(x,y) -> (1,-9) y=-9
Help me with math I don't understand!please
let'sAnswer:
P ≈ 102.83 cm
Step-by-step explanation:
The window is practically a semi-circle. The formula for the perimeter of a semi-circle is πr + d.
*Remember that d (diameter) = 2 · r (radius)
Let's plug in everything that we know into the formula!
r = 20
d = 2(20) → 40
π(20) + 40 = 102.8318531
Now lets round the answer to the hundredths place.
102.8318531 → 102.83
Answer:
62.83 (estimate)
Step-by-step explanation:
The equation for the perimeter of a circle (also called circumference) is 2 times pi times the radius, or pi times the diameter. Since the window is a semi-circle, you divide the result by two.
\(2\pi r\\2(20)\pi = 40 \pi\\40\pi= 125.6\\125.663706144/2=62.83\)
Use Cramer's Rule to determine the values of the parameter s for which the linear system has a unique solution. Describe this solution.
The linear system has a unique solution for values of the parameter s that are not equal to zero.
Cramer's Rule is a method used to solve a system of linear equations by finding the determinants of coefficient matrices. In this case, we are looking for the values of the parameter s that will result in a unique solution for the given linear system.
When we apply Cramer's Rule, we compute the determinant of the coefficient matrix and the determinants of matrices obtained by replacing one column of the coefficient matrix with the constants from the right-hand side of the equations. If the determinant of the coefficient matrix is non-zero, then the system has a unique solution.
In our case, let's assume the given linear system has the form:
a1x + b1y + c1z = d1
a2x + b2y + c2z = d2
a3x + b3y + c3z = d3
We can construct the coefficient matrix and compute its determinant. If the determinant is non-zero, then the system has a unique solution. However, if the determinant is zero, it means that the system either has infinitely many solutions or no solutions at all.
To describe the unique solution, we can use the values of x, y, and z obtained by applying Cramer's Rule. These values will be specific to the given system and will depend on the coefficients and constants in the equations.
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A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800. A person selling 8 cars and 1 truck earns $4,600. How much does a salesperson earn for selling 2 cars and 3 trucks?
$2,500
$2,700
$2,800
$3,000
if anyone sees this can you pls help me
The answer would be the last option because 3 parts are shaded out of 5, 3/5 and 3/5 converted into decimal form would be 0.6.
So 0.6 and 3/5
Brainliest Please,
Hope it helps^^
[ 7 11] [12 4 5 ]
Find C =AB, if A = [2 9] B = [3 6 1]
[ 10 6]
The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.
Let's calculate the matrix product C = AB step by step:
Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.
In this case, both matrices satisfy this condition, so the product C = AB is defined.
Calculating AB:
AB = [23 + 912 26 + 94 21 + 95]
[103 + 612 106 + 64 101 + 65]
Simplifying the calculations:
AB = [6 + 108 12 + 36 2 + 45]
[30 + 72 60 + 24 10 + 30]
AB = [114 48 47]
[102 84 40]
Therefore, the product C = AB is:
C = [114 48 47]
[102 84 40]
In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:
C = [114 48 47]
[102 84 40]
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Suppose you work for a company that manufactures cylindrical cans. Which will cost more to manufacture, a can with a radius of 4 inches and a height of 5 inches, or a can with a radius of 5 inches and a height of 4 inches? Assume that the cost of material for the tops and bottoms is per $1.40 square inch and the cost of material for curved surfaces is $0.90 per square inch.
Answer:
the can with the 5-inch radius will cost more
Step-by-step explanation:
The cost will be given by the formula ...
cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)
In terms of radius and height the areas are ...
top & bottom area = 2πr²
lateral area = 2πrh
So, the total cost of a can with radius r and height h is ...
c(r, h) = 1.40·2πr² +0.90·2πrh
Filling in the given values and doing the arithmetic, we find the costs to be ...
c(4, 5) = $253.84
c(5, 4) = $333.01
The cost of the can with the 5-inch radius is the greatest.
Answer:
The cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.
Step-by-step explanation:
First Can:
Top and Bottom Surface Area = 2(pi(4)^2) = 2(16pi) = 32 pi = 100.53 square inches
Cost for top and bottom surface area = 1.40 * 100.53 = $140.74
Curved Surface Area = 2pi*r*h = 2*pi*4*5 = 40 pi = 125.66 square inches
Cost for Curved Surface Area = 125.66 * 0.90 = $113.10
Total Cost = $140.74 + $113.10 = $253.84
Second Can
Top and Bottom Surface Area = 2(pi(5)^2) = 2(25pi) = 50 pi = 157.08 square inches
Cost for top and bottom surface area = 1.40 * 157.08 = $219.91
Curved Surface Area = 2pi*r*h = 2*pi*5*4 = 40 pi = 125.66 square inches
Cost for Curved Surface Area = 125.66 * 0.90 = $113.10
Total Cost = $219.91 + $113.10 = $333.01
So, the cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.
(5x-1) -(2-8x) for x = 0.75
(1 point) find the interval of convergence for the power series ∑n=2[infinity](x−5)n3n
The interval of convergence for the given power series is (2, 8).
To find the interval of convergence for the given power series. We have the power series:
∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)
To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:
L = lim (n → ∞) |(a_(n+1)/a_n)|
For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:
|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|
Simplify the expression:
|(a_(n+1)/a_n)| = |(x-5)/3|
The series converges if L < 1. So we have:
|(x-5)/3| < 1
Now, we'll solve for x to find the interval of convergence:
-1 < (x-5)/3 < 1
Multiply each term by 3:
-3 < x-5 < 3
Add 5 to each term:
2 < x < 8
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Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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The long jump pit was recently rebuilt to make it level with the runway. volunteers provided pieces of wood to frame in the pit. each piece of wood provided measures 6 ft, which is approximately 1.8 to 8 7. determine the amount of wood, in meters, needed to rebuild the frame.
The amount of wood, in meters, needed to rebuild the frame is 1.8288 m.
What is amount and example?
amount to (something) : to produce (a total) when added together. The bill amounted to 10 dollars. They have debts amounting to thousands of dollars.
To calculate the amount of wood, in meters, needed to rebuild the frame, we can use the following formula:
wood (m) = (wood (ft) x 0.3048) / 6
Since each piece of wood provided measures 6 ft (approximately 1.8 to 8.7), we can calculate the amount of wood, in meters, needed to rebuild the frame as follows:
wood (m) = (6 ft x 0.3048) / 6
wood (m) = 1.8288 m
Therefore, the amount of wood, in meters, needed to rebuild the frame is 1.8288 m.
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Ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym the distance from ping's home to ari's home. where is the gym?
The distance between ping's home to aris's home will be 1 street and 12th avenue.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Ping house ⇒ 3rd street and 6th avenue
Ari's home ⇒ 21st street and 18th avenue
So, the distance between them
21 - 3 = 18 street
18 - 6 = 12 avenue.
Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".
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Calculate the work done in lifting a 15-lb flower pot to a height of 4 ft above the ground.
Answer:
A. 60 ft·lb
Step-by-step explanation:
You want the work done lifting a 15-lb flower pot to a height of 4 ft.
WorkWork is the product of force and distance. When the pot is raised 4 ft, the work done is ...
W = F·d
W = (15 lb)(4 ft) = 60 ft·lb
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May and Ellie collected data for 75 graphs, recording whether the graphs were increasing or decreasing, and whether or not they crossed
the x-axis. The table below shows their findings.
Increasing
Decreasing
Total
x-intercept
12.
30
42
No x-intercept Total
25
37
8
38
33
75
Determine the relative frequency for a graph that has no x-intercept, given that the graph is increasing. Show you work
Answer:
May and Ellie collected data for 75 graphs, recording whether the graphs were increasing or decreasing, and whether or not they crossed the x-axis. The table below shows their findings.
Step-by-step explanation:
Pls help me I’m stuck rn in
Answer:
Rhombus
Step-by-step explanation:
A rhombus is basically just stretched out
Answer:
square or rhombus
Step-by-step explanation:
one of the two
the quotient of a number and -9 is increased by 10 the result is 11 what is the number?
Answer:
so the division of a number and -9 or
x/-9+10=11 or
(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9
Ms. Lama marked the price of a a cosmetic items 25% above it's cost price. if the cost price of the cosmetic items was Rs.4400 at what price did she sell it with 13%VAT?
Appling percentages, if Ms. Lama marked the price of a a cosmetic items 25% above it's cost price and the cost price of the cosmetic items was Rs.4400 sold with 13% VAT, the selling price is $6,215.
How the selling price is computed:The selling price is determined by increasing the cost price by the markup percentage and then the VAT percentage.
Cost price of the cosmetic items = Rs.4,400
Markup = 25%
Markup factor = 1.25 (1 + 0.25)
Marked up price = Rs.5,500 (Rs.4,400 x 1.25)
VAT = 13%
Markup ith VAT factor = 1.13 (1 + 0.13)
Selling price = Rs.6,215 (Rs.5,500 x 1.13)
Thus, Ms. Lama sold the cosmetic items at Rs.6,215, 13% VAT inclusive.
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a=24
C=26
What is the length of b?
Answer:
10
Step-by-step explanation:
you use the Pythagorean theorem which you do 24^2 + b^2 = 26^2 you should have 576+b^2=676 then subtract 576 on both sides b^2=100 then sqre root which leaves you with b=10
Use a CAS to find an antiderivative F of f such that F(0) = 0. Graph f and F and locate approximately the x-coordinates of the extreme points and inflection points of F.
f(x) = xe−x sin(x), −5 ≤ x ≤ 5
The approximate x-coordinates of the extreme points and inflection pointof F are:
Local maximum: x ≈ -3.5
Inflection point: x ≈ -1.5
Local minimum: x ≈ 2.5
Using a CAS such as WolframAlpha, we can find that an antiderivative of f(x) is:
F(x) = -xe^(-x)cos(x) + e^(-x)sin(x) - cos(x)
To determine the x-coordinates of the extreme points and inflection points of F, we can graph both f(x) and F(x) on the same set of axes. Here is the graph:
Graph of f(x) and F(x)
From the graph, we can see that F(x) has two critical points, one at approximately x = -3.5 and the other at x = 2.5. The first critical point is a local maximum and the second critical point is a local minimum. We can also see that F(x) has one inflection point at approximately x = -1.5.
Therefore, the approximate x-coordinates of the extreme points and inflection point of F are:
Local maximum: x ≈ -3.5
Inflection point: x ≈ -1.5
Local minimum: x ≈ 2.5
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Olive is 8 years old. Karen is 32 years old. How many times older is Karen that Oliver?
Answer:
4, because 32/8 = 4.
Hope this helps!
Laura made some chocolate Tarts for every 5 cups of chocolate chips she added three cups of sugar the radio of the chocolate chips to the sugar in Lara's chocolate is
Answer:
5:3
Step-by-step explanation:
If the long chord and tangent length of a circular curve of radius R are equal the angle of deflection, isa)300b)600c)900d)1200
If the long chord and tangent length of a circular curve of radius R are equal the angle of deflection is 120 °
The term angle of deflection in math is defined as the angle of which the M particle is deviated
Here we know that the intersection point is the angle between the back tangent and forward tangent.
Here we have also know that the surveyor either computes its value from the preliminary traverse station angles or measures it in the field and it can be denoted by Δ.
Then the Tangent length is calculated as,
=> T = R tan Δ/2
Similarly, the long chord is calculated as,
=> L = 2 R sin Δ/2
Here we also know that Length of the long chord is defined as,
=> L = T
The it can be calculated as,
=>R tan Δ/2 = 2 R sin Δ/2
Here we know tanθ = sinθ/cosθ then it can be written as
=> 1/2 = cos (Δ/2)
=> Δ/2 = 60°
=> Δ = 120 °
Therefore option (d) is correct.
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