Answer:
The domain and range of function is the set of all possible inputs and outputs of a function respectively.
The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.
The domain and range of any function can be found algebraically or graphically.
Find the surface area of the cylinder. Type an exact answer in terms of pi.
Answer:
~150.8
Step-by-step explanation:
surface area of a cylinder=2 pi r h + 2 pi r²
[tex]\large{\boxed{\mathfrak\pink{\fcolorbox{pink}{pink}{Answer:-}}}}[/tex]
→ POINTS TO BE NOTED
SURFACE AREA OF THE CYLINDER IS ALSO KNOWN AS TOTAL SURFACE AREA A solid figure bounded by a cylinder and two parallel planes intersecting the cylinder.nd, to find Surface area of cylinder there is one formula
[tex] \pink{ \boxed{ \sf2 \pi \: r(h + r)}}[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
★Here
r( RADIUS) = 3cmh(HEIGHT)= 5cm★ Let's solve:-
[tex] \sf \: ↦2 \pi \times 3(5 + 3) \\ \sf \:↦ 2\pi \times 15 + 9 \\ \sf \:↦ 2\pi \times 24 \\ \sf \: ↦48\pi\:cm²[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}}\orange{ \rule18mm{2.5pt}}[/tex]
Hence;
The surface area of the cylinder=48πcm²10.
(08.04 MC)
The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollars for a tire company to manufacture a tire, where x is the number of tires produced, in thousands:
graph of a parabola opening down passing through points negative 4 and 57 hundredths comma zero, zero comma 62, 1 and 12 hundredths comma 75, 17 and 65 hundredths comma 167 and 55 hundredths, 34 and 18 hundredths comma 75, and 39 and 87 hundredths comma zero
If the company wants to keep its production costs under $75,000, then which constraint is reasonable for the model? (1 point)
−4.57 ≤ x ≤ 39.87
1.12 ≤ x ≤ 34.18
−4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
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Answer:
1.12 ≤ x ≤ 34.18
Step-by-step explanation:
This constraint ensures that the number of tires produced, represented by x, falls within the range where the production costs, represented by C(x), are below $75,000.
What is the length of segment np? 1 unit 2 units 3 units 4 units
Answer:
2 units
Step-by-step explanation:
Answer:
The answer is 2 units
Step-by-step explanation:
Find the common ratio of the geometric sequence 20,40,80
Answer:
a = 2a(- 1)
Step-by-step explanation:
I have done the maths
What is the square root of 144?
Answer:
12
Step-by-step explanation:
When you multiply 12 by itself its 144.
I hope it helps! Have a great day!
pan~
Answer:
12
Step-by-step explanation:
Divide 144 by 2 and it’s 12.
Or you could guess and check b dividing each number by itself until you get 144.
I hope it helps! Have a great day!
Muffin °-°
Cynthia is flying a kite in her back pasture. She let out 50 meters of kite string and the string makes an angle of elevation with the ground of 42. How high is the kite flying to the nearest tenth of a meter
The required kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.
To find the height at which the kite is flying, we can use trigonometry, specifically the tangent function. The tangent of the angle of elevation (42 degrees) is the ratio of the height (h) of the kite to the distance from Cynthia to the kite (50 meters).
The formula for the tangent of an angle is:
[tex]tan(angle) = opposite/adjacent[/tex]
In this case, the angle is 42 degrees, the opposite side is the height of the kite (h), and the adjacent side is the length of the string (50 meters).
[tex]tan(42^o) = h / 50[/tex]
To find the height (h), we can rearrange the equation:
[tex]h = 50 * tan(42^o)[/tex]
Now, let's calculate the height:
[tex]h =50 * tan(42^o)[/tex]
h ≈ 50 meters * 0.9004
h ≈ 45.02 meters (rounded to two decimal places)
So, the kite is flying at a height of approximately 45.02 meters to the nearest tenth of a meter.
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A man invests $8 000 at 12% simple interest for 3 years. If he invests the same amount of money for the same time period at 12% compound interest, what is the difference between the two investments?
Answer:
$359.42
Step-by-step explanation:
The difference in the investment values can be computed by making use of the formulas for the account balance in each case.
compound interest: A = P(1 +r)^t . . . . interest at rate r compounded annually
simple interst: A = P(1 +rt) . . . . simple interest at rate r
__
The account earning simple interest will have a balance of ...
A = $8000(1 +0.12×3) = $10,880
The account earning compound interest will have a balance of ...
A = $8000(1 +0.12)^3 ≈ $11,239.42
The difference between the two investments is ...
$11,239.42 -10,880 = $359.42
Which of the following relations is a function?
a,
{(-2, -2),(-2, -1),(-2, 0),(-2, 1),(-2, 2)}
b.
{(1, 0),(-1, 0),(2, 1),(-2, 1),(3, 2),(-3, 2)}
c.
{(-2, 1),(-1, 2),(O, Q).(-1, 1),(2, -2)}
d.
((-3.3).(1, 3),(-3, 2),(1, 2),(-3, 1),(1, 1)}
Answer:
b
Step-by-step explanation:
I’ve been struggling with these three for awhile I got everything else on the worksheet but these please help SOH CAH TOA
The distance between Casey and the base of the lighthouse is 49 ft.
What is the angle of elevation and depression?The angle of elevation refers to the angle formed by the straight horizontal line and an object. The crosshair of an observer is usually above the horizontal.
The angle of depression is the angle formed by the horizontal and a downward angle to an object. The crosshair of an observer is usually above below the horizontal.
1.The distance between Casey and the base of the lighthouse can be determined by using the tangent of trigonometry.
(TOA)
[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]
[tex]\mathbf{tan \ 58 = \dfrac{78}{x}}[/tex]
[tex]\mathbf{x= \dfrac{78}{1.6003}}[/tex]
x ≅ 49 ft
2.The height of the goal post can be determined by using the tangent of trigonometry.
[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]
[tex]\mathbf{tan 17 = \dfrac{x}{131}}[/tex]
x = (tan 17) × 131
x = 0.3057 × 131
x ≅ 40 ft
3.The horizontal distance between Zack and the water fountain is calculated by using the tangent of trigonometry.
[tex]\mathbf{tan \theta = \dfrac{opp}{adj}}[/tex]
[tex]\mathbf{tan \ 28 = \dfrac{75}{x}}[/tex]
[tex]\mathbf{x = \dfrac{75}{0.5317}}[/tex]
x = 141 ft
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help v qucik pleaseeeeee
[tex](x - 4) {}^{2} + (y - 1) {}^{2} = r {}^{2} [/tex]
passes through ( 4 , -4 )
[tex](4 - 4) {}^{2} + ( - 4 - 1) {}^{2} = r {}^{2} [/tex]
[tex]r {}^{2} = ( - 5) {}^{2} [/tex]
[tex]r {}^{2} = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
Your radius is 5 units
[tex]c = 2\pi \: r \\ c = 2 \times 3.14 \times 5 \\ c = 31.4[/tex]
To Draw:Place your center at the point x=4 and y=1
Then take your radius 5 units by going straight down left right or up by 5 units
AND DRAW
PLEASE HELP! GRAPH THE FUNCTION
#8
y=4(x-0)²+0Vertex at (0,0)
#11
y=-6(x-0)²+0Same Vertex
#14
y=-(x-0)²+2Vertex (0,2)
Step-by-step explanation:
by order
the 1st one y = 4x^2
vetex (0,0) and upward
the 2nd one y = -6x^2
vertex (0,0) and downward
the 3rd one y = -x^2 + 2
vertex (0,2) and downward
Pls help I’m in a rush (find the pattern)
Answer:
y=x+12, add 12
Step-by-step explanation:
To get from each x to y you have to add 12
so the equation is:
y=x+12
please helpppppppppp
Answer:
THE ANSWER IS “your net worth”
Step-by-step explanation:
Write your answer in lowest terms.
Working pls
Answer:
4 5/6 or 29/6
Step-by-step explanation:
Conversion a mixed number 8 1/
4
to a improper fraction: 8 1/4 = 8 1/
4
= 8 · 4 + 1/
4
= 32 + 1/
4
= 33/
4
To find a new numerator:
a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/
4
= 32/
4
b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33
c) Write a previous answer (new numerator 33) over the denominator 4.
Eight and one quarter is thirty-three quarters
Conversion a mixed number 3 5/
12
to a improper fraction: 3 5/12 = 3 5/
12
= 3 · 12 + 5/
12
= 36 + 5/
12
= 41/
12
To find a new numerator:
a) Multiply the whole number 3 by the denominator 12. Whole number 3 equally 3 * 12/
12
= 36/
12
b) Add the answer from previous step 36 to the numerator 5. New numerator is 36 + 5 = 41
c) Write a previous answer (new numerator 41) over the denominator 12.
Three and five twelfths is forty-one twelfths
Subtract: 33/
4
- 41/
12
= 33 · 3/
4 · 3
- 41/
12
= 99/
12
- 41/
12
= 99 - 41/
12
= 58/
12
= 2 · 29/
2 · 6
= 29/
6
Please answer ASAP for 15 points pls
Answer: 125
Step-by-step explanation:
:)
Mariam sells tires for $90 each and a service plan for $50. One customer
pays $410 for some tires and the service plan. Which equation represents
how many tires, t, the customer purchased?
A 410 = 50 + 90t
B 410 = 90 + 50t
© 410 = 50t + 90
D 410 = 90(4t) + 50
Answer:
the answer is A
Step-by-step explanation:
410 is the total amount paid
so 50 dollars was a base fee for the service charge
and 90 was per tire. Because we dont know how many tires she bought 90 x number of tires(t) = 90t
so 410 dollars = 50 dollars(service fee) + 90 dollars ( multilied by number of tires "t")
36x'ys
26 Which expression is equivalent to
(3xy)
for all values of x and y where the expression is
defined?
The expression (3xy) is an algebraic expression
The equivalent expressions of (3xy) are (6xy)/2 and (9xy)/3
How to determine the equivalent expression?The expression is given as:
(3xy)
Multiply by 2/2
(3xy) = (6xy)/2
Multiply by 3/3
(3xy) = (9xy)/3
The above products means that, we multiply the expression by 1 (i.e. n/n) to get an equivalent expression
Hence, the equivalent expressions of (3xy) are (6xy)/2 and (9xy)/3
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Please help! Due in 10 minutes! I'll mark brianliest!
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Solve the system of equations below using elimination.
4x + 4y = -37
2x + 5y = -17
Part A: What is the x-value?
Part B: What is the y-value?
Part C: In one paragraph, using your own words, explain the work you did to find the answers to parts A and B.
Answer:
Step-by-step explanation:
4x + 4y = -37
2x + 5y = -17
we are told to use elimination , instead of substitution,
meaning get rid of the x or y in one of the equations.
Part C : let's multiply (2x + 5y = -17 ) * (-2) so we get
-4x - 10y = 34 , then add
4x + 4y = -37
0x -6y = -3 now we have only one variable , y
because both sides have a minus sign, we can just drop it
6y = 3 ( divide both sides by 6)
y = 3/6
Part B : y = 1/2 we now know y
plug in the y value into 1st equation.
4x + 4(1/2) = -37
now solve for x
4x + 2 = -37
4x = -39
Part A : x = - 39/4
A triangle is reduced.
A triangle has a base of 16 inches, height of 12 inches, and side length of 20 inches. A smaller triangle has a base of 12 inches, height of 9 inches, and side length of blank.
Not drawn to scale
What is the perimeter of the reduced triangle, in inches?
15
21
36
48
Answer:
c.) 36
Step-by-step explanation:
The triangle was reduced by 36 inches
if a type of salami at the deli costs 1.59 per 100 g how much will you pay for 350 g? pls help and explain how to do it
Answer:
[tex]\huge\boxed{\sf 350\ g\ salami = 5.565}[/tex]
Step-by-step explanation:
From the question:
100 g salami = 1.59
Divide 100 to both sides
1 g salami = 1.59/100
1 g salami = 0.0159
Multiply both sides by 350
350 g salami = 0.0159 × 350
350 g salami = 5.565
[tex]\rule[225]{225}{2}[/tex]
Kira's purple scarf is 3 1/2 feet long. Her red scarf is 1 1/3 times as long as her purple
scarf. How many feet long is Kira's red scarf?
Answer:
4.55 or 4.7 depending on how you round
Step-by-step explanation:
3 1/2=3.5
1 1/3= 1.3
3.5x1.3=4.55
In the context of the least squares procedure, any data point that does not fall on the regression line is the result of
In the context of the least squares procedure, any data point that does not fall on the regression line is the result of multicollinearity.
What is least square regression?A least square regression simply shows the linear relationship that exist between two variables.
Here, in the context of the least squares procedure, any data point that does not fall on the regression line is the result of multicollinearity.
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need help please!!!!!!
Calculate the perimeter of the shape below. Show ur work! TYSM!!
Answer:
1,001
Step-by-step explanation:
13ft X 11ft X 7ft = 1,001
Not sure if its correct but im glad to help atleast
Answer:
68 is the perimeter.
Step-by-step explanation:
You can find the perimeter by adding up all of the sides. 13 + 11 + 3 + 7 = 34. To find the other sides of the shape you do 11 + 7 and 13 + 3. 11 + 7 = 18. 13 + 3 = 16. 18 + 16 = 34. 34 + 34 = 68.
Find the measure of arc STQ.
edit; found the wrong thing lol
please help ??????????
A graph has the two points (2, 110) and (4, 220). What is the rate of change?
Answer:
55
Step-by-step explanation:
220-110
110/2=55
What is the base of this function?
f (x) = 3 In (2 - 4) 3 C 10
a. 3
b. e
c. 10
d. There is no base
Answer:
The base is 3.
Step-by-step explanation:
10. Which of the following could be the perimeters of the three squares below?
A. 12 11 10 ft and 20 ft
B. 20 ft, 16 f1 and 24 ft
C. Both A and B
D. Neither A or B
Answer:
A, 12ft, 16ft, 20ft.
Step-by-step explanation:
3,4,5 Triangles are right triangles, Answer A on the Paper says 12:16:20 which is proportinate to said ratio, hence the answer is A
Rationalise the denominator of 5/√(3-√5)
Pls send the answer by today
Answer:
[tex]\dfrac{5(3+\sqrt{5})\sqrt{3-\sqrt{5}}}{4}[/tex]
[tex]\textsf{or}\quad \dfrac{5\sqrt{3+\sqrt{5}}}{2}[/tex]
Step-by-step explanation:
[tex]\textsf{Given expression}:\dfrac{5}{\sqrt{3-\sqrt{5}}}[/tex]
Method 1
[tex]\textsf{Multiply by the conjugate}\quad \dfrac{\sqrt{3-\sqrt{5}}}{\sqrt{3-\sqrt{5}}}:[/tex]
[tex]\implies \dfrac{5}{\sqrt{3-\sqrt{5}}} \times \dfrac{\sqrt{3-\sqrt{5}}}{\sqrt{3-\sqrt{5}}}=\dfrac{5\sqrt{3-\sqrt{5}}}{(\sqrt{3-\sqrt{5}})(\sqrt{3-\sqrt{5}})}[/tex]
Simplify the denominator using the radical rule [tex]\sqrt{a} \sqrt{a} =a[/tex]:
[tex]\implies (\sqrt{3-\sqrt{5}})(\sqrt{3-\sqrt{5}})=3-\sqrt{5}[/tex]
Therefore:
[tex]\implies \dfrac{5\sqrt{3-\sqrt{5}}}{(\sqrt{3-\sqrt{5}})(\sqrt{3-\sqrt{5}})}= \dfrac{5\sqrt{3-\sqrt{5}}}{3-\sqrt{5}}[/tex]
[tex]\textsf{Multiply by the conjugate}\quad \dfrac{3+\sqrt{5}}{3+\sqrt{5}}:[/tex]
[tex]\implies \dfrac{5\sqrt{3-\sqrt{5}}}{3-\sqrt{5}} \times \dfrac{3+\sqrt{5}}{3+\sqrt{5}}=\dfrac{5\sqrt{3-\sqrt{5}}(3+\sqrt{5})}{(3-\sqrt{5})(3+\sqrt{5})}[/tex]
Simplify the denominator:
[tex]\implies (3-\sqrt{5})(3+\sqrt{5})=9+3\sqrt{5}-3\sqrt{5}-5=4[/tex]
Therefore:
[tex]\implies \dfrac{5(3+\sqrt{5})\sqrt{3-\sqrt{5}}}{4}[/tex]
Method 2
[tex]\textsf{Multiply by the conjugate}\quad \dfrac{\sqrt{3+\sqrt{5}}}{\sqrt{3+\sqrt{5}}}:[/tex]
[tex]\implies \dfrac{5}{\sqrt{3-\sqrt{5}}} \times \dfrac{\sqrt{3+\sqrt{5}}}{\sqrt{3+\sqrt{5}}}=\dfrac{5\sqrt{3+\sqrt{5}}}{(\sqrt{3-\sqrt{5}})(\sqrt{3+\sqrt{5}})}[/tex]
Simplify the denominator using the radical rule [tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]:
[tex]\implies (\sqrt{3-\sqrt{5}})(\sqrt{3+\sqrt{5}})=\sqrt{(3-\sqrt{5})(3+\sqrt{5})[/tex]
[tex]\implies\sqrt{(3-\sqrt{5})(3+\sqrt{5})}=\sqrt{9-5}=\sqrt{4}=2[/tex]
Therefore:
[tex]\implies \dfrac{5\sqrt{3+\sqrt{5}}}{2}[/tex]
[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
To rationalise:-
[tex] \frac{5}{ \sqrt{3 - \sqrt{5} } } [/tex]
There is a formula in math if there is root in denominator
for example
[tex] \frac{1}{ \sqrt{a - b} } [/tex]
we can say rationalize by multiplying √(a-b) in numerator and denominator both
[tex] \frac{1}{ \sqrt{a - b} } \times \frac{ \sqrt{a - b} }{ \sqrt{a - b} } \\ \frac{ \sqrt{a - b} }{a - b} [/tex]
In here
[tex] \frac{5}{ \sqrt{3 - \sqrt{5} } } \times \frac{ \sqrt{3 - \sqrt{5} } }{ \sqrt{3 - { \sqrt{5} } } } \\ \frac{5( \sqrt{3 - \sqrt{5} }) }{3 - \sqrt{5} } [/tex]
but still here is root to remove this we have to multiply
3 + √5 in numerator and denominator.
[tex] \frac{5( \sqrt{3 - \sqrt{5} }) }{3 - \sqrt{5} } \times \frac{3 + \sqrt{5} }{3 + \sqrt{5} } \\ \frac{5( \sqrt{3 - \sqrt{5} })(3 + \sqrt{5} ) }{ {3}^{2} - { (\sqrt{5} )}^{2} } \\ \frac{5( \sqrt{3 - \sqrt{5} })(3 + \sqrt{5}) }{9 - 5} \\ \frac{5( \sqrt{3 - \sqrt{5} } )(3 + \sqrt{5}) }{4} [/tex]