Answer:
arc length d = ∫ √(1 + (dy/dx)²) dx
y = 228 - x²/57
dy/dx = -2x / 57
(dy/dx)² = (2x/57)²
Upper limit for integration:
y = 0 = 228 - x²/57
yields x = 114
d = ∫ √(1 + (2x/57)²) dx for 0 ≤ x ≤ 114 = 264.9 m
Step-by-step explanation:
Pls help meee and thank you
Answer:
I believe the answer is y=4x+4
Step-by-step explanation:
because the 4 that is on the Y axis is the Y axis
and the 4 on the x axis will be the one with the variable
Hopefully this helps.
I WILL GIVE BRAINLIEST!!!!!!
Write in complete sentences to explain what a budget is, how to make one, and how to balance it.
20 points helppppppppppppppppppppppppppppp
PLZZ anyone solve this ASAP
Answer:
[tex] cos^{-1}(cos\frac{ 7π}{6})=cos^{-1}(cos\frac{7*180}{6})[/tex]
[tex] cos^{-1}(cos{210})[/tex]
[tex] cos^{-}(cos(180+30))[/tex]
[since in third quadrant cos 30=-[tex] \frac{\sqrt{3}}{2}][/tex]
[tex] cos^{-}(- \frac{\sqrt{3}}{2})[/tex]
:150°or [tex] \frac{5π}{6}[/tex]
150°or [tex] \frac{5π}{6}[/tex]is a required answer.
A box of macaroni & cheese says that it makes 25% more than a regular box. If a regular box makes 3 cups of macaroni & cheese, how many cups will this box make?
Thanks :)
Answer:
3.75
Step-by-step explanation:
25% = 0.25
3(0.25) = 0.75
3 + 0.75 = 3.75
what is true about a rhombus and square?
A. all sides are congruent to each other
B. all of these are true
C. both have diagonals that are perpendicular to each other
D. both have diagonals that bisect each other
Answer:
B. all of these are true
Step-by-step explanation:
The Square is a rhombus because all the sides of a square are equal in length. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Therefore, we can say the square is a rhombus.
Hope this helped!!
7. Would you expect the world population growth to be best modeled be a linear, quadratic, or exponential function?
Answer:
exponential
Step-by-step explanation:
since the rate of our population growth is relative to the amount of people already on our planet, the numbers will grow exponentially
Answer: exponential
Step-by-step explanation: exponential function don’t grow at a constant rate, like the world population
You must exert a force of 4.5 N on a book to slide it across a table. If you moved it 5 meters. How much work was done on the book?
Answer:
22.5 JStep-by-step explanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 4.5 × 5
We have the final answer as
22.5 JHope this helps you
9)
Consider
-196/14
Which THREE statements are correct?
A)
The quotient is 14.
B)
The quotient is -14.
The quotient is -
D)
- 196
is equivalent to the expression.
14
E)
196
-14
is equivalent to the expression.
The table shows the costs
for 2, 3, 4, and 5 vegetable
seed packets. What is the
unit rate?
Solve the system of equations given below.
Answer:
The system of this equation is ( -1, 10) which is Option A.
Step-by-step explanation:
Solve for y in the first equation.
[tex]y = - 5x + 5 \\ - 2y = - x - 21[/tex]
Replace all occurrences of yy with -5x+5 in each equation.
[tex]10x - 10 = - x - 21 \\ y = - 5x + 5[/tex]
Solve for x in the first equation.
[tex]x = - 1 \\ y = - 5x + 5[/tex]
Replace all occurrences of x with -1 in each equation.
[tex]y = 10 \\ x = - 1[/tex]
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−1, 10)
Hence, the system of this equation is (-1, 10).
Option A.
Which graph represents all the real numbers, , where ≥−2? THIS IS LAST QUESTION PLEASE ANSWER! I WILL GIVE BRAINLYST.
Answer:
It's the one right under the first one
The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet
Answer:
[tex]Area = 1560ft^2[/tex]
Step-by-step explanation:
Given
See attachment for playground
Required
Determine the area
The playground is a trapezoid. So;
[tex]Area = \frac{1}{2}(Sum\ parallel\ sides) * Height[/tex]
From the attachment, the parallel sides are: 68ft and 36ft
The height is: 30ft
So, the area is:
[tex]Area = \frac{1}{2}(68ft + 36ft) * 30ft[/tex]
[tex]Area = \frac{1}{2}(104ft) * 30ft[/tex]
[tex]Area = 52ft * 30ft[/tex]
[tex]Area = 1560ft^2[/tex]
A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch
Answer:
6283 in³
Step-by-step explanation:
The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.
Since the cardboard box is in the shape of a cube, its volume V = L³
So, L = ∛V
Since V = 12000 in³,
L = ∛(12000 in³)
L= 22.89 in
So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2
So, V = 4π(L/2)³/3
= 4πL³/8 × 3
= πL³/2 × 3
= πL³/6
= πV/6
= π12000/6
= 2000π
= 6283.19 in³
≅ 6283.2 in³
= 6283 in³ to the nearest whole cubic inch
Need help on this one too
Answer:
sin(θ)=4√41/41
cos(θ)=5√41/41
tan(θ)=4/5
cot(θ)=5/4
sec(θ)=√41/5
csc(θ)=√41/4
Step-by-step explanation:
Students set a goal for the
number of cans to collect
for the canned food drive.
They reached 120% of
their goal. What is 120%
expressed as a fraction
and as a decimal?
Answer:
Fraction = 120/100 | Decimal = 1.2
Step-by-step explanation:
Fraction:
100% is 100/100 but 120% is 20% over so the fraction is now 120/100 (20% = 20/100)
Decimal:
100% is 1 but as I said earlier, 120% is 20% over so the decimal is now 1.2 (20% = 0.2)
A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.What rule do you think the state park uses to decide the entrance fee for a vehicle?
Answer:
I think they charge a flat rate of $8 for a vehicle and $3 per person on top of that.
Step-by-step explanation:
There could be a multitude of rules, but let's try to find a simple one.
I would start by assuming that the park charges a fee for a vehicle and then for each person. Let's name those:
a - flat fee for a vehicle
b - fee per person
then a car with x people in it would be charged
a + bx
Let's see if the fees fit this assumption:
for x = 2
a + b*2 = $14
for x = 4
a + b*4 = $20
for x = 8
a + b*8 = $32
If so, we can subtract the second equation from the first and get
a + b*4 - a - b*2 = $20 - $14
b*2 = $6
b = 3$
a + b*2 = $14
a + $3*2 = a + $6 = $14
a = $8
so the first 2 equations gave us a = $8 and b = $3.
Let's see if these values fit the 3rd equation
a + b*8 = $32
$8 + $3*8 = $32
$8 + $24 = $32
$32 = $32
It fits!
That tells us that the rule is indeed very likely.
Solve the equation using either addition or substitution. Show all your work
Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
27 solid iron spheres, each of radius 'x cm' are melted to form a speher with radius 'y cm'. Find the ratio x:y
Answer:
My brain...
Step-by-step explanation:
Answer:
i believe its A on plato
Step-by-step explanation:
Drag each tile to the correct box. Not all tiles will be used. Given the Pythagorean theorem x^2+y^2 = r^2 where r is the distance from the origin to the point (x, y) place the steps in the correct order to derive the Pythagorean identity cos^2 (0) + sin^2 (0) =1
Answer:
i just got it right.
Step-by-step explanation:
Please help me solve this.
Answer: 59
Step-by-step explanation:
Given
2b³+5 and b=3 ⇒ 2b³+5=2(3)³+5
Simplify exponents
2(3)³+5
=2(3×3×3)+5
=2×27+5
Multiplication
=54+5
Addition
=59
Hope this helps!! :)
Please let me know if you have any questions
Can someone please help me with this??
“Calculate the lengths of the 2 unlabeled sides”
Answer:
NL = 4.33
NM = 5
Step-by-step explanation:
tan 60° = NL/2.5
tan 60° = 1.7321
so:
1.7321 = NL/2.5
NL = (2.5)(1.7321)
NL = 4.33
cos 60° = 2.5/NM
cos 60° = 0.5
so:
0.5 = 2.5.NM
NM = 2.5/0.5
NM = 5
Which of the following equations has a graph that passes through (3, 3) and has a slope of -2?
A. x + 2y = 9
o B. X- 2y = -3
O
C. 2x + y = 9
o
D. -2x + y = -3
Answer:
C
Step-by-step explanation:
y=mx+b
3 = -2(3) + b
3 = -6 + b
9 = b
y = -2x + 9
2x + y = 9
i dont have a question for this. look at the photo
Answer:
first is no second is yes third is no fourth is yes
Step-by-step explanation:
I'm not sure btw
A hot air balloon pilot begins to land her balloon. In the first minute the balloon's elevation -336 feet. In the second minute, the balloon's elevation changes by 1/16 of that amount. What is the balloon's elevation during the second minute?
Answer:
-21 Feet
Step-by-step explanation:
-336/16
The balloon's elevation during the second minute will be 21 feet.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A sight-seeing balloon pilot starts to land her inflatable. In the main moment the inflatable rise - 336 feet. In the subsequent moment, the inflatable's height changes by 1/16 of that sum.
Then the balloon's elevation during the second minute is given as,
⇒ - 336 x (1/16)
⇒ - 336 / 16
⇒ - 21 feet
The balloon's elevation during the second minute will be 21 feet.
More about the Algebra link is given below.
https://brainly.com/question/953809
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the price of a jacket was reduced from $50 to $30. by what percentage was the price of the jacket reduced?
Answer:
the jacket price was reduced by 40%.
Step-by-step explanation:
if $50 is 100% then every one dollar is 2%.
Percentage of the reduction of price of the jacket is 40%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100.
Percentage is usually denoted by the symbol '%'.
We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Given that,
Original price of the jacket = $50
Let x be the percentage of reduction of the price of the jacket.
50 - (x × 50) = 30
50x = 50 - 30
50x = 20
x = 20 / 50
x = 0.4
Percentage = 0.4 × 100 = 40%
Hence the percentage reduction is 40%.
Learn more about Percentage here :
https://brainly.com/question/15308590
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find x
answer choices
6
7
9
10
8
The answer should be 10
There are 244 seventh grade students. The number of students enrolled in P.E. Is 8 fewer than three times the number of students enrolled in health
Answer:
No. of students enrolled in Health = 63
No. of students enrolled in P.E. = 181
Step-by-step explanation:
Given,
Total students in grade seven = 244 students
A.T.Q.
Let the number of students enrolled in Health be x
so, The number of students enrolled in P.E. = 3x - 8
As we know,
x + (3x - 8) = 244
4x = 244 + 8
x = 252/4
x = 63
Thus, the number of students enrolled in Health = 63
The number of students enrolled in P.E. = 3x - 8
= 3 * 63 - 8
= 189 - 8
= 181 students
Ben uses 3/12 pound of strawberries and 2/12 pound of blueberries to make jam. How many pounds of berries does Ben use to make jam?
Answer:
5/12
Step-by-step explanation:
add 3/12 and 2/12 to get 5/12 (decimal form is .416)
Answer:5/12 pounds
Step-by-step explanation: You take the 3 and add it with the 2 and you get 5/12
[tex]\frac{3}{12}[/tex] + [tex]\frac{3}{12}[/tex] = [tex]\frac{5}{12}[/tex]
Find the volume of the con round you answer to the nearest tenth
Answer:
16.76 inch³
Step-by-step explanation:
volume of cone is 1/3 πr²h
h=4
r=2
then 1/3* 22/7* 2*2 *4
=352/21
=16.76