A box is a right rectangular prism with the dimensions 8 inches by 8 inches by 14 inches. What is the surface area of this box?
fyi, question, answer choices, and prism are shown the the photo :) please answer ASAP and explain how you did it. I'm having alot of trouble with surface area.
Answer:
Option C. 576 in^2
Step-by-step explanation:
Given ,
Length = 8 inches
Breadth = 8 inches
Height = 14 inches
Now ,
using surface area of box (Cuboid)
= 2(l×b + b×h + l×h )
= 2(8×8 + 8×14 + 14×8)
= 2 ( 64 + 112 + 112 )
= 2 ( 288)
= 576 inches^2.
**100 POINTS**
To evaluate the quality of their product, a manufacturer of cell phones checks every 50th phone off the assembly line. Out of 200 phones tested, 4 are defective. The manager concludes that the 2% of the cell phones produced will be defective.
Unbiased, systematic random, valid.
You eat 1 random piece of chocolate from a box with 8 coffee flavored and 9 mint flavored pieces.
Answer:
more likely mint
Step-by-step explanation:
Who could help me with this please and thank you
Answer:
the solutions are (1,-3) and (4,-6)
Someone help me solve this
Step-by-step explanation:
I hope you understand what I wrote
Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)
I'm having a hard time figuring out this problem. I'm so confused about how to solve it. :(
Please explain how you got the answer. I wanna know! :D
Answer:
4x² - 6x
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)
Step 2: Simplify
[Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - xCombine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - xCombine like terms (y²): 4x² - 3x - 2x - xCombine like terms (x): 4x² - 6xWhat is the equation of a line with a slope of 4 and a y-intercept of 2?
Answer:
y=4x+2 or f(x)=4x+2
Step-by-step explanation:
This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!
what is the period of the trigonometric function shown in the graph
a)1
b)2
c) pi(3.14)
d)2pi
Answer:
c) [tex]\displaystyle \pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = cos\:(2x - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle \boxed{y = sin\:2x} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = cos\:2x,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = cos\:(2x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-3\pi, 0],[/tex]from there to [tex]\displaystyle [-2\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
48 POINTS!!!!! given tan Ф = 4/5, find all other trig functions.
sin =
cos =
tan =
csc =
sec =
cot =
Step-by-step explanation:
let : y = Opponent side, x= Adjecent side
and r= hypotenuse
tan 0 = 4/5
y/x = 4/5 => y =4, x=5
so, r = √4²+5²=√16+25=√41
sin = y/r = 4/ √41
cos = x/r = 5/√41
tan = y/x = 4/5
csc = r/y = √41 /4
sec = r/x = √41 /5
cot = x/y = 5/4
So
sinØ=P/H=4/√41cosØ=B/H=5/√41cotØ=5/4secØ=√41/5cscØ=√41/4What is the area of a triangle with a base of 10 cm and a height of 4 cm?
Answer:
Multiply 10cm by 4cm, which gives you 40cm^2 and then divide by 2cm. 40cm^2 divided by 2cm equals 20cm^2.
Which of the following are abiotic factors in an ecosystem? (select all)
water
trees
sun
grass
sand
Find the area of a rectangle that has a width of 4.25 inches and a length that is twice the width.
Match each cone’s measures to its corresponding volume.
•base area=16in2 height=6in
•Diameter=12in height=5in
•Radius=5in height=4
V=60 in3
V=100/3 in3
V=32 in3
Answer:
Step-by-step explanation:
Match each cone’s measures to its corresponding volume.
The formula for the volume of a cone is given as:
πr²h/3
a) base area=16in² height=6in
Base area of a cone = πr²
Hence, volume of this cone = 16in² × 6 in
= 96in³
•Diameter=12in height=5in
•Radius=5in height=4
V=60 in3
V=100/3 in3
V=32 in3
Answer:
Radius= v=100/3 pie in ^3
base area= v=32 pie in. ^3
Diameter v=60 pie in ^3
Can someone pls help me!!! NO LINKS... I will mark brainiest to.
In the pet supply area of the warehouse is a crate of flea shampoo for cats. Each crate holds 55 boxes. Each box holds 7 bottles of shampoo. Each bottle contains 7 mL of the chemical that gets rid of the fleas. How many liters of the chemical is in the crate of shampoo?
Answer:
2.695 Liters of shampoo
Step-by-step explanation:
Step 1
We find the number of bottles in the crates
1 box = 7 bottles
55 boxes = x
Cross Multiply
x = 55 boxes × 7 bottle/1 box
x = 385 bottles
Step 2
Calculate the total number mL
1 bottle = 7 mL
385 bottles = x
Cross Multiply
x = 385 bottle × 7 mL/1 bottle
x = 2695 mL
Therefore the total number of mL of shampoo in the crates = 2695mL
Step 3
How many liters of the chemical is in the crate of shampoo?
We convert mL to Liters
1 mL =0.001 liter
2695mL = x
Cross Multiply
x = 2695mL × 0.001 liter/1 mL
x = 2.695 Liters of shampoo
Therefore, 2.695 liters of the chemical is in the crate of shampoo
HELP ME ASAP!!!!!!!!!!!!! FIRST ONE TO ANSWER GETS BRAINYEST
Dwight has 3 baseball cards, and Ellis has 9 baseball cards. If Dwight and Ellis put their baseball cards together and then divide them up equally, how many will each one of them have?
Answer:
6
Step-by-step explanation:
3+9=12 cards
12/2=6
Answer:
they will have 6
Step-by-step explanation:
3+9=12
12/2=6
A scuba diving resort hotel offers divers two plans. Plan A gives 3 nights’ lodging and 4 dives. Plan B gives 5 nights’ lodging and 8 dives. How much does it cost for each night and each dive?
Answer:
x = 35 and y = 100
Step-by-step explanation:
Let x = dollar cost per dive and y = dollar cost per night.
ATQ,
4x+3y = 440 .....(1)
and
8x + 5y = 780 .....(2)
Multiply equation (1) by 2.
8x+6y = 880......(3)
Subtract equation (3) from (2).
8x + 5y -(8x+6y)= 780-880
-y = -100
y = 100
Put the value of y in equation (1).
4x+3(100) = 440
4x = 440-300
4x = 140
x = 35
Hence, the value of x is 35 and that of y is 100.
HELP
What is the name of the shape graphed by the function R^2 = 4cose theta?
A. Circle
B. Lemniscate
C. Limaçon with inner loop
O D. Line
Answer:
Hence, r=2cosθ represents a circle with centre (1,0) and radius 1 and (1,0) in polar coordinates too is (1,0
Step-by-step explanation:
hope this helps;)
The name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is Limaçon with inner loop.
We have the following function -
[tex]r^{2} = 4\;cos[/tex] θ
We have to find the shape represented by this function.
What are Polar Coordinates?Polar coordinates are used to represent a point in a two - dimensional plane. In polar coordinate system, the point under consideration is represented with the help of two variables namely [tex]r[/tex] and θ. (Take the reference from the figure attached)
We have -
[tex]r^{2} = 4\;cos[/tex] θ
The relation between variables in polar coordinates and cartesian coordinates is -
[tex]x = rcos\theta\\y=rsin\theta\\r=\sqrt{x^{2} +y^{2} }\\[/tex]
First, lets convert this equation in the rectangular coordinates -
[tex]r^{3} =4\;r\;cos\;\theta\\r\times\;r^{2} = 4\;r\;cos\;\theta\\\sqrt{x^{2} +y^{2} }\;\times\;(x^{2} +y^{2}) = 4x\\(x^{2} +y^{2})=\frac{4x}{\sqrt{x^{2} +y^{2} }}[/tex]
The above equation in rectangular coordinate system represents a Limaçon with inner loop.
Hence, the name of the shape graphed by the function [tex]r^{2} = 4\;cos[/tex] θ is
Limaçon with inner loop.
To solve more questions on identifying the shape of the graph by the function, visit the link below -
https://brainly.com/question/9422589
#SPJ2
Pls I need answer it’s due today!!!!!!!!!
Step-by-step explanation:
in probability,or means addition.
14/28+19/28
1/2+19/28
you then find the LCM of the denominator.
14+19/28
33/28
you then divide 33 by 28.
A cylinder has a radius of 5 cm and a height of 12 cm, what is the volume?
Step-by-step explanation:
In a cylinder
Radius=r=5cmHeight=h=12cmWe know that
[tex] \boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3} [/tex]
Answer:
approx. 943 cm^3
Step-by-step explanation:
π × 5^2 x 12 = approx. 943 cm^3
A crab walk 1/12 of a mile an hour. The crab 1/5 of a mile away from the beach . How long will it take the crab to reach the beach
Answer:
2.4 hours
Step-by-step explanation:
[tex]\frac{1}{5} /\frac{1}{12}[/tex]
2.4 hours
Find the area of the figure shown. Round to the nearest tenth if necessary.
Step-by-step explanation:
OK so your gonna add 6 and 11 then multiply it by 3, the height. then your gonna divide by 2
The weight of one serving of chocolate is 1.5 ounces How many servings are there in a 25,5 ounce bag of chocolate?
Answer:
17 servings
Step-by-step explanation:
This is a fairly easy question. Here is what you need to do to solve.
The whole chocolate bag is 25.5 oz, and each serving is 1.5 oz.
So divide 25.5 by 1.5 to get your answer of 17 servings per bag!
_________________________________________________________
Hope this helps!
Yours Truely, TheAnimeCatUwU!
HELP PLEASE! THANKS.
FILLER FILLER FILLER FILLER
Step-by-step explanation:
your answer is right now
two coins are tossed together What is the probability of obtaining
(1)exactly one tail
(2)at least one head
(3)no tails?
PLEASE HELP ASAP!! GIVING AWAY BRAINLY if correct AND PLUS 100 pts
Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?
x = 2
y = −0.75x + 9.5
y = 1.33x + 1.66
x = 8
Answer:
x=2
Step-by-step explanation:
got it right on the test i promise
The equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
Circle A is located at (6, 5) and has a radius of 4 units.
First, find the slope of the radius
As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through (2, 8) and (2, 5)
y - 5 = (-3/0)(x -2)
-x + 2 = 0
x = 2
Thus, the equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.
Learn more about circle here:
brainly.com/question/11833983
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Madison earned $80 last month pet sitting in her
neighborhood. She spent $54 and put the remainder of the
money in her piggy bank. What percent of her allowance
Madison put in her piggy bank?
A local movie theater was showing them
Answer:
26
Step-by-step explanation:
Subtract
Answer: 32.5%
Step-by-step explanation:
80 - 54 = 2626/80 × 100 = 32.5%Cole found BC in ABC his work is shown below identify the first step in which his work shows an error
Can anyone help me with this question please.
No links or I’ll report.
Answer:
Length of BC = 12 inch
Step-by-step explanation:
Given:
ΔABC is a right angle triangle
Length of AB = 9 inch
Length of AC = 15 inch
Find;
Length of BC
Computation:
Using Pythagoreans theorem;
Hypotenues² = parpendicular² + Base²
Step 1 :
AC² = AB² + BC²
Step 2 :
15² = 9² + BC²
Step 3 :
225 = 81 + BC²
Step 4 :
225 - 81 = BC²
Step 5 :
BC² = 144
Step 6 :
BC = √144
Step 7 :
BC = 12 inch
Length of BC = 12 inch
Can someone plz help me with this one problem plz plz!!!
Answer:
50.27
Step-by-step explanation:
thats the answer I worked on a laptop so i dont have work.
Answer:
4^4 = 16
16 x 3.14 = 50.24
Step-by-step explanation:
Formula of an area of a circle:
3.14(pi) x r(radius)^2(squared)
Solve 3-²I need work shown
Answer:
1/9
Step-by-step explanation:
Answer:
its 987556467724
Step-by-step explanation:
I took quiz and got it right thid my proof