Answer:
here/
Step-by-step explanation:
charges a cost per pound plus a fixed fee to ship a package. the total cost, f(x) ... f(x)=4.99x+5.75. which part of the function represents the fixed fee? 2 ... the cost of items purchased and y represents the total cost of shipping.
2 answers
·
13 votes:
the fixed fee is the part of $5.75
Two solids are described in the list below.
• One solid is a sphere and has a radius of 6 inches.
• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches. What is the difference between the volumes, in cubic inches, of the solids in terms of pi?
A) 72pi
B) 144pi
C) 216pi
D) 288pi
Answer:216X
Step-by-step explanation:
Volume of the sphere = 4/3 πr³
radius r = 6 inches
Volume = 4/3 π(6)³
⇒ 4/3(216)π
⇒ 472π
⇒ 288π cubic inches
Volume of a cylinder = π r²h
radius r = 6 inches
height h = 6 inches
Volume = π(6)²(6)
⇒ 6³π
⇒ 216π cubic inches
Difference between the volumes = 288π - 216π = 72π
A swimmming pool with cylindrical base has a diameter of 21 feet and a depth of 5 feet. Find the volume of the pool
Answer: V = 1731.8Ft³
Step-by-step explanation:
v = πr²h
Radius is half of the diameter ⇒ 21/2 = 10.5
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
The solution is : the volume of the pool is V = 1731.8Ft³.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
we know that,
the volume of the cylinder is:
v = πr²h
Radius is half of the diameter
⇒ 21/2
= 10.5
so, we get,
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
Hence, The solution is : the volume of the pool is V = 1731.8Ft³.
To learn more on volume click :
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i need help with this
Answer:
the second one
Step-by-step explanation:
When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8
Which statement is true?
The opposite of 6 is - 5, and is located to the right of 0 on a number line.
The opposite of 6 is -, and is located to the left of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the right of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the left of 0 on a number line.
At an ice cream shop, 4 of the last 10 cones sold had cookies and cream ice cream. Considering this data, how many of the next 15 cones sold would you expect to have cookies and cream ice cream?
Answer:
6 cones
Step-by-step explanation:
4/10=2/5
2/5x3x3=6/15
6 cones
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortes days of the year vary by 2 hours 53 minutes from the equinox. In this year the equinox falls on March 21. In this task you'll use a trigonamic function to model the hours of daylight hours on certain days of the year in New York City
Question:
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox. In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function to model the hours of daylight hours on certain days of the year in New York City.
- Find amplitude and the period of the function
- Create a trigonometric function that describes the hours of sunlight for each day of the year
- Then use the function you built to find how fewer daylight hours February 10 will have then March 21
Answer:
(a)
[tex]A = 2.883[/tex] --- Amplitude
[tex]T = 365[/tex] ---- Period
(b) Trigonometry function
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
(c) [tex]Hours= 1.794[/tex]
Step-by-step explanation:
Given
[tex]Average\ Sunlight = 12hr\ 8 min[/tex]
[tex]Variance = 2hr\ 53min[/tex]
Solving (a): Amplitude (P) and Period (T)
The amplitude is the amount of time the longest and the shortest day vary.
So
[tex]A = 2\ hr\ 53\ min[/tex]
Convert to hours
[tex]A = 2\ + \frac{53}{60}[/tex]
[tex]A = 2+0.883[/tex]
[tex]A = 2.883[/tex]
The period (T) is the duration i.e 1 year
[tex]T = 1\ year[/tex]
Assume no leap year
[tex]T = 365[/tex]
Solving (b): Trigonometry function
The function follows a sinusoidal pattern and the general form is:
[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]
Where
[tex]\mu = Average\ Value[/tex]
[tex]\mu = 12\ hr 8\ min[/tex]
Convert to hours
[tex]\mu = 12 + \frac{8}{60}[/tex]
[tex]\mu = 12 + 0.133[/tex]
[tex]\mu = 12.133[/tex]
[tex]A = 2.883[/tex] --- Amplitude
[tex]T = 365[/tex] ---- Period
[tex]n = Equinox[/tex]
[tex]n = March\ 21[/tex]
[tex]March\ 21st = 80th\ day[/tex]
So:
[tex]n= 80[/tex]
The function becomes:
[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
Solving (c): Fewer daylight hours will Feb. 10 have.
[tex]Feb\ 10 = 41st\ day[/tex]
So:
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]
[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]
[tex]2\pi = 360^\circ[/tex]
So:
[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]
[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]
[tex]f(41) = 12.133 - 2.883*0.6221[/tex]
[tex]f(41) = 10.339[/tex]
The fewer daylight hours is the calculated as:
[tex]Hours= Average - f(41)[/tex]
[tex]Hours= \mu - f(41)[/tex]
[tex]Hours= 12.133 - 10.339[/tex]
[tex]Hours= 1.794[/tex]
Can someone please help me answer this question
Answer:
1) 15
2) 10
3) 11
4) -4
5) -8
6) 12
7) 14
8) -6
Step-by-step explanation:
plug the values given into each equation for example
1) 2c - d at c=6, d=-3
2(6) -(-3) = 12 + 3 = 15
What is the result of adding 3 to–3?
A)–6
B)–3
C) 0
D) 6
Answer:
c 0
Step-by-step explanation:
3+-3=0
write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
45 : 5
Answer:
9/1
Step-by-step explanation:
45/5 = 9
Is (2,1) a solution of 3y<2x+5
Answer:
yes
Step-by-step explanation:
Always true, sometimes true, never true.
1) the centroid of a triangle is a point where the medians intersect.
2) a line of reflection is also a line of symmetry
3) a figure with rational symmetry can be rotated x degrees about a one of its vertices and the resulting image lines up perfectly with the original image.
4) the centroid of a triangle is located inside the triangle
5) all points on the angle bisector of
6) if there exists a transformation that takes triangle QRS to triangle XYZ then the triangles are congruent
7) the inscribed circle of a triangle intersects all three of the triangles vertices.
_______________________
TRUE OR FALSE:
8) the base is the length of the altitude
9) a median of a triangle cuts the original triangle into two smaller triangles, each of whose area is half of the original triangle
10) the circumscribed circle lies inside the triangle and touches each of the sides
11) the incenter of a triangle is a point where the angle bisectors intersect
I really need help on these ASAP, thank you!!
Answer: the answers for numbers 1,2 and 4 are all true :)
1: True
2: True
4: True
Select all the expressions that represent the area of the large, outer rectangle.
5(2+4)
5⋅2+4
5⋅2+5⋅4
5⋅2⋅4
5+2+4
5⋅6
Answer:
Step-by-step explanation:
it would be 5*2*4
5*2+5*4.
A dog walked 25 miles in 12.5 hours. Find the speed of the dog.
Answer:
Step-by-step explanation:
Someone calculated his or her average speed to 18.36 Miles per hour (mph) Calculate your average speed This calculation will help you calculate your average speed when you have covered a certain distance over a certain time.
Answer:
2 mph
Step-by-step explanation:
if we divide our miles by our time with the equation d for distance and t for time we'll get this
d/t = s (s to represent the speed
now time to plug in our equation
25/12.5 = 2
we now have our answer of 2 miles per hour
A circular plate has circumference 32 inches. What is the area of this plate? Use 3.14 for pi. The area of this plate is about nothing square inches.
Answer: The area of the plate is 81.67 in^2
Step-by-step explanation:
If we have a circle of radius R, the area of this circle can be computed as:
A = pi*R^2
where pi = 3.14
And the circumference is:
C = 2*pi*R
and we know that this is equal to 32 in, then:
32in = 2*pi*R
Now we can isolate R, and we get:
32in/(2*pi) = R
32in/(2*3.14) = R = 5.1 in
Then the area of the plate is:
A = 3.14*(5.1in)^2 = 81.67 in^2
State the slope and y-intercept of the graph of y = 1/5x – 7.
Answer:
The slope is 1/5 and the y-intercept is -7
Step-by-step explanation:
In point-slope form (y = mx + b), m is the slope and b is the y-intercept.
Which is greater
30% of 30 or 28% of 32 ?
You must show your working.
Answer:
30% of 30 = 9
28% of 32 = 8.96
Step-by-step explanation:
0.30 x 30 = 9
0.28 x 32 = 8.96
Answer:
30% of 30 > 28% of 32
Step-by-step explanation:
30% of 30:
0.3 x 30 = 9
28% of 32:
0.28 x 32 = 8.96
9 > 8.96
23 + b = 30. Substitute 10 for b.
wich is the correct?
Answer:
c
Step-by-step explanation:
Which of the following inequalities represent the number line below?
I NEED HELPPPPPPPPPPPPP
Help plz been working on this for 2 days due TODAY. MARKING BRAINLIEST FOR CORRECT ANSWER!!!!!! No links and only answer if you are 100% sure about the answer.
Answer:
only 1 unique triangle is possible sorry if i'm wrong
Step-by-step explanation:
Answer: 1.C 2. C 3.B
Step-by-step explanation:
What percent of 15y is 75?
Answer:
20%
Step-by-step explanation:
because 15/75×100 =1/5×100=20%
Answer:
Step-by-step explanation:
x% of 15y = 75
x% =75/(15y) = 5/y
x = 500/y
simplify 32q2r2/4q3r
Answer: 16q5r2
Step-by-step explanation:
I need the answer to this
Answer:
parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;
ASAP I NEED YOU HELP 10 POINTS MARK YOU BRANLIEST JUST HELP ME!!!!
Choose the Algebraic equation that matches the table
A) y = x - 3
B) y = x + 2
C) y = x - 2
D) y = -x - 2
Answer:
C) y = x-2
Step-by-step explanation:
0-2= -2
2-2= 0
3-2= 1
4-2= 2
And all of that checks out because the values I just got for y are the same as the table
hope this helps chu <3
In the evenings, Jake and his friends would cookout and make s'mores for dessert. the ratio of chocolate squares to Graham crackers that they used is shown in the graph below. (repost)
Answer:
(2,3) also love your profile pic :)
( 2,3 ) I hope this helped you!~ have a great day~
~Keiji❤
Treat yourself well, remember to eat. You are valid. Love you!~
A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area.
Answer:
Step-by-step explanation:
Area Triangles
Area = 1/2 b * h
In a right triangle the two smaller sides are used to find the area
A = 1/2 6 * 4.5
A = 1/2 * 27
A = 13.5
But there are 2 of them so that the area = 2* 13.5 = 27
Area Front side
Area = L * w
L = 13
w = 6
Area = 13 * 6
Area = 78
Area Back side
Area = L * W
Area = 4.5 * 13
Area = 58.5
Bottom Area
Area = L * W
L = 13
W = 7.5
Area = 13 * 7.5
Area = 97.5
Total Area = 58.5 + 78 + 27 + 97.5
Total Area = 163.5 + 97.5
Total Area = 261
what is the y-int of the curve
Answer:
The y-intercept is (0,3)
Step-by-step explanation:
last week Patrice mad (15d + 400) dollars. this week she made (10d + 50) dollars. write an expression that represents how much money she made altogether over the last weeks.
(15d+400)+(10d+50)
---
hope it helps
17. Find the value of x. Round to the nearest degree.
Answer:
51. Don't completely know if it's correct though.
Step-by-step explanation:
I'd use sine, which is opposite side/hypotenuse. Here, I think the reference angle is x. The opposite side is 7, and the hypotenuse is 9. So...
sin(x) = [tex]\frac{7}{9}[/tex]
sin(x) = 0.7777
Next we use inverse sine.
sin⁻¹(0.7777) = approximately 51
The value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the hypotenuse side is equal to the sine angle between adjacent side and hypotenuse, side.
[tex]\sin\theta=\dfrac{b}{c}[/tex]
Here, (b) is the opposite side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between adjacent side and hypotenuse, side.
In the given figure, the hypotenuse side is 9 units long and opposite side is 7 units long.
The angle between adjacent side and hypotenuse is x degrees. Thus, by the right angle triangle property,
[tex]\sin x=\dfrac{7}{9}\\x=\sin^{-1}(0.778)\\x\approx51^o[/tex]
Hence, the value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.
Learn more about the right angle triangle property here;
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im feeling generous. entertain me
Answer:
-,-
Step-by-step explanation: