70 is the greatest weight that Evelyn can put into the cardboard without going over the weight limit
How to calculate greatest weight that can be put into the cardboard?From the question
Weight limit on one box = 28 kilograms
Weight of each box = ⅖ kilogram
To find the greatest number of boxes of pasta she can put into one cardboard box without exceeding the weight limit, we have:
G=28/2/5
To divide the fraction, change the division sign to multiplication and flip the fraction:
=28x5/2
=140/2
=70
Therefore, the greatest number of boxes Evelyn can put without going over the weight limit is 70 boxes
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The sail of a boat is in the shape of a right triangle. Which expression shows the height, in meters, of the sail?
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse to the right triangle is 8 meters long.
cosine 35 degrees over 8
8(tan 35°)
tangent 35 degrees over 8
8(cos 35°)
Answer:
8(cos35)
Step-by-step explanation:
Your welcome.
The expression that models the height is 8 cos35
SOH CAH TOA identityFrom the given information, we have the following
Hypotenuse = 8metersHeight = adjacentUsing the SOH CAH TOA identity
cos theta = adj/hyp
cos 35 = adj/hyp
cos 35 = adj/8
Hyp = 8 cos35
Hence the expression that models the height is 8 cos35
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CALCULUS: Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3.
A. v(t) = sin(t) + cos(t) + 3
B. v(t) = sin(t) + cos(t) + 2
C. v(t) = sin(t) - cos(t) + 3
D. v(t) = sin(t) - cos(t) + 4
I picked A., which was marked wrong, although I truly believe that is the answer because I got sin(t) - (-cos(t)) + 3. Please tell me whether you believe this is right or am I doing something wrong. I really want to learn/master this concept. Thanks is advance.
Answer:
B. v(t) = sin(t) + cos(t) + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Function NotationCalculus
Antiderivatives - Integrals
Integration Constant C
Solving Integration Equations
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note: Remember that the velocity function is the integral of the acceleration function/acceleration is the derivative of velocity.
[tex]\displaystyle v'(t) = a(t)\\v(t) = \int {a(t)} \, dt[/tex]
Step 1: Define
a(t) = cos(t) - sin(t)
v(0) = 3
Step 2: Integrate
Set up integral: [tex]\displaystyle v(t) = \int {cos(t) - sin(t)} \, dt[/tex][integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle v(t) = \int {cos(t)} \, dt - \int {sin(t)} \, dt[/tex][Integral] Trig integration: [tex]\displaystyle v(t) = sin(t) - [-cos(t)] + C[/tex][Velocity Integration] Simplify: [tex]\displaystyle v(t) = sin(t) + cos(t) + C[/tex]Step 3: Find Function
We need to solve for the entire function, meaning we need to find constant C.
Substitute in given point [Velocity Integration]: [tex]\displaystyle v(0) = sin(0) + cos(0) + C[/tex][Velocity Integration] Substitute: [tex]\displaystyle 3 = sin(0) + cos(0) + C[/tex][Velocity Integration] Evaluate trig: [tex]\displaystyle 3 = 0 + 1 + C[/tex][Velocity Integration] Add: [tex]\displaystyle 3 = 1 + C[/tex][Velocity Integration] Isolate C [Subtraction Property of Equality]: [tex]\displaystyle 2 = C[/tex][Velocity Integration] Rewrite: [tex]\displaystyle C = 2[/tex][Velocity Function] Substitute in C [Velocity Integration]: [tex]\displaystyle v(t) = sin(t) + cos(t) + 2[/tex]Topic: Calculus
Unit: Basic Integration
Book: College Calculus 10e
Br uh don’t even type “I can’t see the pic” Solve both problems and show ur work
Answer:
1.22
53.08
Step-by-step explanation:
4. We can find the quarter circle, we can find the whole triangle, lets do that
The circle is, 1/4*(1)^2*pi, which is 1/4pi
The triangle is, 2 * 2 divided by 2, which is 2
2 - 1/4pi gives us the shaded part or
2 - 1/4*3.14
2 - 0.785 = 1.215 rounded to 1.22
5. The area of a cylinder is pir^2h. r is 10, h is 1.2
12pi cm^3
we have 20 m^3 which is 2000 cm^3
Let's divide,
2000/37.68 = 53.078, rounded gives us 53.08
There are 5 4/5 cups of milk left in a carton. Write 5 4/5 as an improper fraction. Explain what the fraction represents in this situation.
Answer:
29/5
Step-by-step explanation:
multiple 5 times 5 to get 25 then at the 4 to get 29.
there are 29/5th cups of milk
Can someone help me with my this?!
I need help with math
Answer:
0,-2 0,-5
2,-3 1,-4
Step-by-step explanation:
The sum of 2 of the exterior angles of a triangle is 222 degrees. What is the measure of the third exterior angle?
Answer:
Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138
Step-by-step explanation:
360 - 222 = 138
the answer to your question is 138degrees.
For any shape the exterior angles will always add up to 260 degrees.
Hope this helps in the future!
Answer:
360 - 222 = 138
the answer to your question is 138degrees.
For any shape the exterior angles will always add up to 260 degrees.
Step-by-step explanation:
Question: 2 out of 10
~!¡! Volume !¡!~
(Pleaaase go try to answer the first one- )
Answer:
B) 2,340
Step-by-step explanation:
Use the volume formula to find the volume of the prism.
A. 21 cubic units
B. 27 cubic units
C. 42 cubic units
D. 9 cubic units
Answer: A
Step-by-step explanation:
Ax
umm pls help me ik how to do it but not sure on this specific one
9514 1404 393
Answer:
-8, +9
Step-by-step explanation:
You need factors of (6)(-12) = -72 that have a sum of +1.
From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.
6x^2 +x -12
= 6x^2 +9x -8x -12
= 3x(2x +3) -4(2x +3)
= (3x -4)(2x +3)
Like seriously I gat no idea what the the answer is
is the expression a^12 x a^4 equivalent to a^8 x a^8
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Properties of indices.
Here, we have to prove that, if the above exponential equation are equal or not., let's prove it
1.)L.H.S
a^12*a^4 = a^m*a^n ===> a^(m+n)
hence, a^(12+4) ===> a^(16)
2.) R.H.S
===> a^8*a^8 = a^(8+8) ==> a^(16)
since here, LHS = RHS
so both are equal.
what will A scale factor that is less than one produce
Answer:
When the absolute value of the scale factor is less than one, a compression occurs. When the absolute value of the scale factor is equal to one, neither an expansion nor a compression occurs.
Step-by-step explanation:
:)
A boy visiting New York City views the Empire State building from a point on
the ground, A, which is 940 feet from foot, C, of the building. The angle of
elevation of the top, B, of the building as seen by the boy is 53 degrees. Find the
height of the building to the nearest foot.
Answer:
49,820
Step-by-step explanation:
so what you were going to do first is you're going to do 940 * 53 there is which equals 2820 and then you're going to do turtle messes so then you're going to do 5 * 0 which equals zero then five times for which equals 20 + 5 * 9 which equals 45 + 2 which 45 + 2 equals 47 so you have 2820 + 47000 which equals 49,820
A group of friends were working on a student film that had a budget of $900. They used 33% of their budget on equipment. How much money did they spend on equipment?
They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*33/100=9*33=297 dollars on equipment.
The amount used on equipment is $297.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Budget = $900
Percentage of the budget used.
= 33%
Now,
The amount of budget used.
= 33% of 900
= 33/100 x 900
= $297
Thus,
The amount used on equipment is $297.
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What is the root of 320 simplified?
Answer:
17.9 i think is the answer
Step-by-step explanation:
3. What do you call a polynomial with 3 terms?
Answer:
it's called a trinomial
a. a triangle with one right angle and two congruent sides
Answer:
is an isosceles right triangle, angles 45, 45, & 90 degrees
Step-by-step explanation:
In AHIJ, h = 38 inches, i = 45 inches and j=61 inches. Find the measure of ZH to the nearest degree.
Answer:
38°
Step-by-step explanation:
Delta math
Here is the assignment : You are "selling" the polynomial. You must convince the buyer you have the Best polynomial on the market by describing as many of its specific characteristics.
(Have fun and be creative, but most importantly, be accurate to avoid bad reviews)
Here is your Polynomial: f(x)=x^3-10x^2+28x-24
Step-by-step explanation:
A polynomial is an expression that can be built from constants and symbols called variables or indeterminates by means of addition, multiplication and exponentiation to a non-negative integer power. Two such expressions that may be transformed, one to the other, by applying the usual properties of commutativity, associativity and distributivity of addition and multiplication, are considered as defining the same polynomial.
A polynomial in a single indeterminate x can always be written (or rewritten) in the form
{\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},}a_{n}x^{n}+a_{n-1}x^{n-1}+\dotsb +a_{2}x^{2}+a_{1}x+a_{0},
where {\displaystyle a_{0},\ldots ,a_{n}}a_{0},\ldots ,a_{n} are constants and {\displaystyle x}x is the indeterminate.[2][3] The word "indeterminate" means that {\displaystyle x}x represents no particular value, although any value may be substituted for it. The mapping that associates the result of this substitution to the substituted value is a function, called a polynomial function.
This can be expressed more concisely by using summation notation:
{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}{\displaystyle \sum _{k=0}^{n}a_{k}x^{k}}
That is, a polynomial can either be zero or can be written as the sum of a finite number of non-zero terms. Each term consists of the product of a number – called the coefficient of the term[a] – and a finite number of indeterminates, raised to nonnegative integer
For every pound a company spends on advertising, it spends £0.45 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
The sum of the real numbers x and y is 25. Their difference is 13. What is the value of xy ? G. 100 H. 104 J. 114 K. 124
Answer:
J. 114
Step-by-step explanation:
x + y = 25
x - y = 13
2x = 38
x = 19
x = 25 - 19
x = 6
xy = (6)(19)
xy = 114
The church's goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.
Answer:
The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Step-by-step explanation:
As given,
Mary ate cherries = x pound
And
Leslie ate [tex]\frac{6}{9}[/tex] more.
⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Which of the following is equivalent to sec x ?
A)adj/opposte
B)hypotenuse/adjacent
C)hypotenuse/opposite
Two supplementary angles are in the ratio of 5 to 7. Find positive difference of the measure of the two angles. Do the same problem, only do it for complementary angles instead of supplementary angles.
Answer:
30° is the difference if they are supplement
15° is the difference if they are complementary
Step-by-step explanation:
Let 5x = the measure of the smaller angle
and 7x = the measure of the larger angle
If they are supplementary, then 5x + 7x = 180
12x = 180
x = 15
5x = 5(15) = 75 = the measure of the smaller angle
7x = 7(15) = 105 = the measure of the larger angle
105 - 75 = 30 = difference of the measures
Now, if they are complementary, then 5x + 7x = 90
12x = 90
x = 7.5
5x = 7(7.5) = 37.5 = the measure of the smaller angle
7x = 7(7.5) = 52.5 = the measure of the larger angle
52.5 - 37.5 = 15 = difference of the measures
SO HARDDD
What is the square root of 267.8?
lol
“Stay close to anything that makes you glad you are alive.” – Hafez.
C h a t here Bradyn and Lis, plz. I keep getting logged out when I use the other one :p
Answer:
16.3645959315
Step-by-step explanation:
I need help with these 2
Math problem please help
Answer:
The second one and the last one
Step-by-step explanation:
The third quadrant is of all negitive. The reason it is, is because it is on the left side of the x axis which makes it go lower like subtracting and dividing, then it is on the bottom half of the y axis which again is the same reason
i hope i helped and have a great day!
Answer:
B and D
Step-by-step explanation:
because in the 3rd quadrant both the x and y will be negative
1st quadrant all x and y are positive
2nd quadrant y are positive but x are negative
and in 4th quadrant x are positive and y are negative.
if brainiest is earned its greatly appreciated
On average, A person spends $240 every 3 months on their cell phone bill... What would the price be for 1 month be?... How much would this person pay over the course of one year?
Pls help me asap!!
Answer:
$81 for 1 month
$972 for 1 year
Step-by-step explanation:
Answer:
$80 for one month and $960 over the course of one year
Step-by-step explanation:
240 / 3 = 80
12 x 80 = 960