Answer:
[tex]f(x)=500*(.057)^x[/tex]
Step-by-step explanation:
20 points!!!Solid metal support poles in the form of right
cylinders are made out of metal with a density of 5.2
g/cm². This metal can be purchased for $0.35 per
kilogram. Calculate the cost of a utility pole with a
radius of 19 cm and a height of 620 cm. Round your
answer to the nearest cent. (Note: the diagram is not
drawn to scale)
Density is mass per unit volume. The cost of the metals from the calculations performed is $1280.
What is density?Density is defined as the ratio of the mass of an object to its volume. We have the following information;
Mass of the metal = ?
Density of the metal = 5.2 g/cm3
height of the metal = 620 cm
radius of the metal = 19 cm
Volume of a cylinder = πr^2h = 3.142 * (19)^2 * 620 cm = 703242cm^3
Mass = density * volume = 5.2 g/cm3 * 703242cm^3
= 3657 Kg
If the cost is $0.35 per kilogram, then 3657 Kg costs; 3657 Kg * $0.35
= $1280
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assume that
show work
Answer:
Assume what? And show work for what?
Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
NEED ANSWERS QUICKLY, CORRECT ANSWER GETS BRAINLIEST!
Answer:1.25
Step-by-step explanation:5/1/4=1.25
Jordan writes 3(4x – 8) = 12x – 8
Explain why his expansion is not correct
Complete the following table and write down each of the expansions
x x -2
x
X (X – 2)
In the circle below, F is the center and lies on line segment AD and BC.
Answer:
I guess option (C)
Step-by-step explanation:
Hope it helps!!!!
Which equation can be used to solve for m∠1? m∠1 = one-half(a – b) m∠1 = one-half(a b) m∠1 = one-half(c – d) m∠1 = one-half(c d)
The equation will be:
[tex]m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)[/tex]
What is arc of circle?The arc of the circle is the curved line on the circle formed by the angle and the radius of the circle.
In the attached picture of the question, we can see that
The measure of the interior angle is the semi-sum of the arches that comprise it and its opposite.
So the equation will be
[tex]m\angle 1=\dfrac{1}{2}(arc\ a-arc\ b)[/tex]
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Answer: a
Step-by-step explanation:
(2x-7)-(4x^2+6x-3)+(x^2+4)
Answer:
[tex]-3x^2-4x[/tex]
Step-by-step explanation:
Simplify:
[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]
[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]
Group same factor:
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]
Add :
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]
Apply the distributive law: -(a+b) = -a - b
[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]
[tex]=-4x^2-6x+3+x^2+2x-3[/tex]
Group same factor:
[tex]=-4x^2+x^2-6x+2x+3-3[/tex]
Subtract:
[tex]=-4x^2+x^2-6x+2x[/tex]
Add:
[tex]=-3x^2-6x+2x[/tex]
Group same factor:
[tex]=-3x^2-4x[/tex]
Hence answer = [tex]-3x^2-4x[/tex]
~lenvy~
Answer number 8 please. Thank you.
Answer:
The answer is C. A triangle has a total angle of 180°, therefore C. is more than 180°
WILL GIVE BRAINLIEST!!!JUST HELP PLEASE!
Answer:
uhhh… i dunno
Step-by-step explanation:
sry i cannot help u w/ this
Can u just put brainliest for this pls?
Thanks!
Answer:
0.5
Step-by-step explanation:
x + y = 1
y = 1 - x
f(x) = 1 - x
it is from 0 to 1
integral from 0 to 1 of (1 - x) dx
integral 1 dx - integral x dx
integral 1 dx = x
integral x dx = x²/2 by power rule
so the final integral is x - (x²/2)
now from 0 to 1
1 - (1²/2) - 0 - (0²/2)
1 - (1²/2) = 0.5
0 - (0²/2) = 0
0.5 - 0 = 0.5
(hope I could help and sorry about lateness :))
HELP DUE TMRW!
The floor plan of a building has a scale of cm to 1 m. A room has an area of
40 cm2 on the floor plan. What is the actual area of the room in square metres?
Step-by-step explanation:
so, the scale is 1/4 cm to 1 m.
1 m = 100 cm.
1 m² = 100×100 = 10,000 cm²
that means the scaling factor is 0.25/100 = 1/400
(after multiplying with 4/4).
so, every length in reality has to be multiplied by 1/400 to get the length on the plan.
the area of a rectangle is
length × width.
now, applying the scaling factor means that
length×1/400 × width×1/400 = 40
length × width × 1/400×1/400 = actual area × 1/400² = 40
actual area = 40×400² = 6,400,000 cm²
= 6,400,000 / 10,000 = 640 m²
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is Choose... cubic feet, and the volume of fish tank B is Choose... cubic feet. So fish tank Choose... has a greater volume. Its volume is greater by Choose... cubic feet. 10 / 14 9 of 14 Answered
Answer:
Volume of fish tank A is 200
Volume of tank B is 160
Tank A’s volume is greater by 40 cubic feet
Step-by-step explanation:
25 x 8 = 200
40 x 4 = 160
So:
200 - 160 = 40
Ben began peeling a pile of 64 potatoes
at the rate of 2 potatoes per minute. Five
minutes later Tom joined him and
peeled at the rate of 4 potatoes per
minute. When they finished, how many
potatoes had Tom peeled?
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
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If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The triangles have the same size, but not the same shape.
B. The corresponding sides of the triangles are congruent.
I c. The corresponding angles of the triangles are congruent.
D. The triangles have the same size and shape.
B. The corresponding sides of the triangles are congruent.
I c. The corresponding angles of the triangles are congruent.
D. The triangles have the same size and shape.
Step-by-step explanation:
.
5 1/2 divided by 3 1/3
Answer:
1 13/20
Step-by-step explanation:
5 1/2 ÷ 3 1/3
11/2 ÷ 10/3
11/2 x 3/10 = 33/20
33/20 = 1 13/20
Hope this helps :)
Answer:
17/62 = 0.27419
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
One box measures 2 feet by 1 foot by 1 foot a larger box measures 2feet by 2 1/2 feet by 2 how many times larger is the volume of the larger box then the smaller box
The number of times the larger box is bigger than the smaller box is 5.
How many times larger is the larger box?The first step is to determine the volume of both boxes.
Volume = length x width x height
Volume of the larger box = 2 x 2 1/2 x 2 = 10ft³
Volume of the smaller box = 2 x 1 x 1 = 2 ft³
Now divide the Volume of the larger box by the volume of the smaller box : 10 / 2 = 5
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3 1/2 x 2 1/2 pls help ASAP!!!!
Answer:
Your answer is 8.75 or 8 ¾
Step-by-step explanation:
3 ½ × 2 ½ = 8 ¾
Have a nice day! :)
A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.
Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:
[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]
It would take 1 hour for the pedestrian to travel the same distance.
More can be learned about proportions at https://brainly.com/question/24372153
Reflect the shape A in the line y=-1
What are the coordinates of the vertices of the image?
random please answer
i am time limited
whoever answers correctly will be awarded brainliest
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
y=-1 is now a horizontal line passing through the point (0,-1)
I hope this helps!!
four rectangles with the same area, the length varies inversely as the width. one rectangle has a length of 12cm and a width of 5cm. find the length of another rectangle with the same area whose width is 4cm
Answer:
The answer is 15 cm.
Step-by-step explanation:
y= k/x
x= width
y= length
So there for;
x= 5
y= 12
Which means that;
12= k/5
k= 60
And then;
y= 60/x
Which then finally means that;
y= 60/4
60/4= 15 cm
According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s
The speed of light is 3.0 ×108m/s.
We have ask about the theory of Albert Einstein,
According to einstein, nothing in the universe can move faster than light
What is the speed of the light?
Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is
[tex]3.0\times108 m/s[/tex]
So that the nothing can travels faster than the speed of light.
light travels with very high speed.
Therefore we get the correct option is 3.
That is the speed of light is 3.0 ×108m/s.
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How many feet are in 1 yard?
how many feet are in one yard?
=3 feet
Answer:
3 Feet
Step-by-step explanation:
What is the solution of (4 x minus 16) superscript one-half baseline = 36? x = 5 x = 13 x = 20 x = 328
Answer:
328
Step-by-step explanation:
(4x − 16)^½ = 36
Square both sides:
4x − 16 = 36²
4x − 16 = 1296
Solve for x:
4x = 1312
x = 328
Answer X=328
Step-by-step explanation:
the annual income of Sam is $37,368 . what is his monthly income if he earns an equal amount every month
Answer:
[tex]\huge\boxed{\sf \$ 3,114}[/tex]
Step-by-step explanation:
Annual Income of Sam = $37,368
To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)
Monthly Income:
= $37,368 / 12
= $3,114
[tex]\rule[225]{225}{2}[/tex]
Evaluate:
-5-(x+y)
2
where x=
3 and y = 6
answer
For each
x
in the expression you substitute
−
3
and for each
y
you substitute
5
. Make sure to handle the signs correctly. Remember
(
−
−
=
+
)
(
(
2
⋅
−
3
)
−
5
)
3
−
(
5
−
(
−
3
⋅
5
)
−
6
)
(
−
6
−
5
)
3
−
(
5
−
(
−
15
)
−
6
)
−
11
⋅
3
−
(
5
+
15
−
6
)
−
33
−
(
20
−
6
)
−
33
−
14
−
47
Answer linkStep-by-step explanation:
Let's see
-5-(x+y)Put x and y
-5-(3+6)-5-9-14Done!
can you solve please -8(0.09) (-0.5)=?
-8(0.09) (-0.5) = 0.36
-8(0.09) (-0.5)
(-0.72) (-0.5)
0.36
Answer:
[tex]\boxed{\sf{0.36}}[/tex]Step-by-step explanation:
This problem can be solved by multiplying left to right by a decimal.
-8(0.09)(-0.5)
First, you have to do is remove these parenthesis.
[tex]\sf{8*0.09*0.5}[/tex]
Then, you solve.
Multiply.
[tex]\sf{8*0.09*0.5=\boxed{\sf{0.36}}}[/tex]
=0.36
Therefore, the final answer is 0.36.I hope this helps you! Let me know if my answer is wrong or not.
The height of a building in a drawing is 15 inches at the actual height of the building is 165 feet find the scale factor of the drawling
165 ft / 15 inches = 11
scale = 1 inch = 11 feet
which is written as 1:11
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
While pushing a shovel into the ground with a force of 555 newtons ant an angle of 44 ∘ 44 ∘ to the ground. Find the magnitudes of the horizontal and vertical components of the force to the nearest whole newton.
The Horizontal component is 554.889N and the vertical component is
9.8235 Newton
Resolution of ForcesGiven Data
Force = 555 NewtonAngle of Applied force = 44°Fx = Horizontal component of the applied forceFy = the vertical component of the applied forceResolving the vertical force
Fy = 555 sin44°
Fy = 555 *0.01770
Fy = 9.8235 Newton
Resolving the horizontal force
Fx = 555 cos 44°
Fx = 555 *0.9998
Fx = 554.889 Newton
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A ball is thrown into the air with an initial velocity of 64 feet per second from a height of 336 feet. After how many seconds will the ball return to the ground and have a height of zero again
Answer:
7 seconds
Step-by-step explanation:
Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...
h(t) = -16t^2 +64t +336
__
This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.
0 = -16t^2 +64t +336
0 = t^2 -4t -21 . . . . . . . . divide by -16
0 = (t -7)(t +3) . . . . . . . factor the quadratic
t = 7 . . . . . . the positive value of t that makes the equation true
The ball will return to the ground after 7 seconds.
__
Additional comment
A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.
In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.