Answer:
Your answer would be 61 in.
Step-by-step explanation:
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
\(x = \pi \div 4 \)
The table below shows the earnings, in thousands of dollars, for three different commissioned employees.
Employee #1
Employee #2
Employee #3
$2,000 - 3% on all
7% on all sales
5% on the first $40,000
sales
8% on anything over
$40,000
December
4.4
5.6
5.2
January
3.5
3.85
3.6
February
4.7
4.9
4.4
Which employee did not have the same dollar amount in sales for the month of February as the other two employees?
a. Employee #1.
b.
Employee #2
c. Employee #3
They each had the samè dollar amount in sales.
I am pretty sure the answer is b. emplyee 2# but im not 100% sure since your graph is really weird and hard to uunderstand
Your cousin renews his apartment lease and pays a new monthly rent his new rent is a calculated by applying a discount of $50 to his original rent and then applying at 10% increase to the discounted amount what was your cousins original monthly rent when his new rent is 5% greater
Answer:
10000000$
Step-by-step explanation:
gu kha le bhosadike duck you
Help help help help
Answer:
Step-by-step explanation:
A(0,4)
B(6,-4)
C(-2,-8)
just multiply every point by 2
help with this calc question pls.
The area of the shaded which is obtained using the composite figure formed the shaded region and the area under the curve of the specified function is; (2·π - 3·√3)/2 square units
What is a composite figure?A composite figure is one that is composed of two or more simpler figures.
The area can be considered of comprising of a composite figure of the area under the curve of the function and the area of the shaded region
The function representing the curve under the shaded region can be presented as follows;
y = 3·cos(x) + 1
The interval specified under the curve can be expressed as follows;
0 ≤ x ≤ π/3
Therefore, the area under the curve can be found as follows;
\(\int\limits^\frac{\pi}{3} _3 {3\cdot cos(x) + 1} \, dx = [3\cdot sin(x) + x]^{\frac{\pi}{3} }_0 = 3\cdot sin(\frac{\pi}{3} ) + \frac{\pi}{3} - 0 = 3\cdot sin(\frac{\pi}{3} ) + \frac{\pi}{3}\)
sin(π/3) = (√3)/2
Therefore; 3·sin(π/3) + π/3 = 3·(√3)/2 + π/3 = (2·π + 9·√3)/6
The area of the rectangle = (4 - 0) × (π/3 - 0) = 4·π/3
The area of the shaded region = Area of the rectangle - Area under the curve of the specified function
Therefore, area of the shaded region = 4·π/3 - (2·π + 9·√3)/6 = (2·π - 3·√3)/2
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Find the area of the shaded figure below
Answer: the answer is A
Step-by-step explanation:
plz HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
36 ÷ a
55 - b
18 + c
49 x d
e ÷ 62
Step-by-step explanation:
I NEED HELP RIGHT NOW PLS!!
Answer:
I think the answer is 2 because 2.5 x 2 = 5.
I'm sorry if this is wrong, I'm a bit unsure.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
2
Step-by-step explanation:
we simply divide 2 1/2 from 5
5÷2 1/2
5÷5/2
5×2/5
2(we cancel five)
Please helppppppppp!!!!!!!!
Answer:
1. f(12), 2. F(m)=2500, 3. F(v)>_3000, 4. 0.9f(30)
Step-by-step explanation:
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
If 115 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $260,how many of each went to the concert?
Answer:
60 Adults and 55 Children
Step-by-step explanation:
We can work this out by writing two equations for the two unknowns and substituting in one for the other.
The two unknown variables we have here are the number of children and the number of adults. We can represent these unknown variables with the letters A (adults) and C (children).
If 115 people attended the concert, it means that:
A (no. adults) + C (no. children) = 115
So our first equation is A+C=115
If the total receipts was $260, it means that the total adult prices + total children prices = 260.
The total adult prices = the cost of each adult ticket (2.5) multiplied by the number of adults that attended. This means that the total number of adult receipts can be represented as: 2.5A
Similarly the total children receipts = the cost per child multiplied by the number of children, so the total children receipts can be represented as: 2C.
Since all receipts added up to 260, our second equation is:
2.5A + 2C = 260
Now we have our two equations, let's substitute one in for the other:
A + C = 115
If we rearrange the equation by subtracting C from both sides, we see that the number of adults is = 115 - C. (A=115-C)
This means we can substitute '115-C' for A in the other equation:
2.5(115-C) + 2C = 260
This is so we only have one unknown in our equation so we can solve for it.
Now we can just expand the brackets and solve!
287.5 - 2.5C + 2C = 260
287.5 - 0.5C = 260
Add C to both sides so it is positive (not necessary but helps keep more tidy and avoid sign errors), and subtract 260 from both sides:
287.5 - 0.5C + 0.5C - 260 = 260 - 260 + 0.5C
27.5 = 0.5C
27.5/0.5=0.5C/0.5
C = 55
There were 55 children!
Now we can just minus 55 from 115 to find the number of adults (our first equation) as there was a total of 115 people.
115 - 55 = 60
60 Adults and 55 Children went to the concert.
Hope this helped!
Can someone help please
Answer:
A the answer is 24
Step-by-step explanation:
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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write the equation of the line that is parallel to 2x-y=15 and passes through the point (3,7)
Answer:
work is shown and pictured
A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.
1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?
2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?
Answer:
I think the volume would be 9 times greater, and the surface area would be 3 times greater
Step-by-step explanation:
Answer:
the volume would be 9 times greater
the surface area would be 3 times greater
Step-by-step explanation:
Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.
Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using mathematical evidence or visual models
Answer:
15% of 25
Step-by-step explanation:
Given the following questions:
25% of 15
15% of 25
We find the answer by using the formula to calculate percentage for both questions.
Question one:
\(\frac{p\times n}{100}\)
\(\frac{25\times15}{100} =25\times15=375\div100=3.75\)
\(=3.75\)
25% of 15 is 3.75
Question two:
\(\frac{p\times n}{100}\)
\(\frac{15\times 25}{100}=15\times25=375\div100=3.75\)
\(=3.75\)
15% of 25 is 3.75
Finally:
\(3.75=3.75\)
\(15-3.75=11.25\)
\(25-3.75=21.25\)
\(11.25 < 21.25\)
Which means 15% of 25 is "greater than" 25% of 15.
Hope this helps.
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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in the diagram, POS,QOT and UOR are straight lines. Find the value of y.
Answer:
y = 15°
Step-by-step explanation:
Since ∠QOR and ∠UOT are vertical, they are congruent so ∠UOT = 5y. Since POS is a straight line (which has a measure of 180°) and ∠POS = ∠POU + ∠UOT + ∠TOS, we can write:
5y + 5y + 2y = 180
12y = 180
y = 15°
Which equation represents a line which is parallel to the line ?3x+4y=-4?
A : Y=4/3 x +6
B: Y=4/3 x +8
C: y=3/4x-3
D: Y = -3/4x +7
Determine the total surface area of the prism below.
Answer:
I need a picture of the prism, then I will answer the question.
Step-by-step explanation:
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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In this composite function, (f◦g)(x) where f(x)=(X-3) and g(x)=X^2 what is (f◦g)(x) when x=1?
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
\((f \circ g)(x) = f(g(x))\)
In this question:
\(f(x) = x - 3, g(x) = x^2\)
Composite function:
The composite function is:
\(f(g(x)) = f(x^2) = x^2 - 3\)
At x = 1
\((f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2\)
So
When x = 1, (f◦g)(x) is -2.
4+5(6p+2=24
........
Answer:
\(4+5\left(6p+2\right)=24\)
\(4+5\left(6p+2\right)-4=24-4\)
\(5\left(6p+2\right)=20\)
\(\frac{5\left(6p+2\right)}{5}=\frac{20}{5}\)
\(6p+2=4\)
\(6p+2-2=4-2\)
\(6p=2\)
\(p=\frac{1}{3}\)
Simplify the polynomial, then evaluate for x = 2.
x+3x²+2x-3-4x²+6
x² + 3x + 9; 19
x² + 3x + 3; 5
-x² + 3x + 9; 11
O
O
-x² + 3x + 3; 13
Answer:
x^2 + 3x + 9 = (x + 3)(x + 3)
When x = 2, we have:
(2 + 3) * (2 + 3)
5 * 5
25
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
Point Q is between Points A and B on AB, which definition, property, or postulate would justify the equation: AQ + QB = AB
HELPPPPPPPP PLZZZZZZX
Answer:
ur answer should be BStep-by-step explanation:
The radius of a circular disk is given as 21 cm with a maximum error in measurement of 0.2 cm.
A) Use differentials to estimate the maximum error in the calculated area of the disk.
B) What is the relative error?
C) What is the percentage error?
Answer:
a) \(\Delta A \approx 26.389\,cm^{2}\), b) \(r_{A} \approx 0.019\), c) \(\delta = 1.9\,\%\)
Step-by-step explanation:
a) The area of the circular disk is modelled after this expression:
\(A = \pi \cdot r^{2}\)
The total differential is given by the following formula:
\(\Delta A = 2\pi r \cdot \Delta r\)
The maximum absolute error in the calculated area of the disk is:
\(\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)\)
\(\Delta A \approx 26.389\,cm^{2}\)
b) The relative error is given by:
\(r_{A} = \frac{\Delta A}{A}\)
\(r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}\)
\(r_{A} \approx 0.019\)
c) The percentage error is:
\(\delta = r_{A}\times 100\,\%\)
\(\delta = 0.019 \times 100\,\%\)
\(\delta = 1.9\,\%\)
A rectangular field with perimeter of 80m is to have an area of at least 380m² . Describe the possible lengths and of the field.
\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)
\(perimeter = 2x + 2y \\ area = xy\)
\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)
\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)