The amount of milk she got in the morning to make cheese is; 11.2 quarts
<h3>Understanding Fraction word problems</h3>
Let the amount of milk that she collected from her goats in the morning be x quarts
She used 25%. Thus, amount used = 25% * x = x/4 quarts
She now has 8.4 quarts left.
Thus, we can have the expression;
x - (x/4) = 8.4
3x/4 = 8.4
x = (4 * 8.4)/3
x = 11.2 quarts
In conclusion, amount of milk she got in the morning to make cheese = 11.2 quarts
Read more about Fraction Word Problems at; brainly.com/question/13818690
Answer: 95%
Explanation:
To obtain score of 80% on entire exam means the student have to answer
(80/100)×80 = 64 correct answers
Student have already answered 75% of the first 60 questions correctly meaning
(75/100)×60=45 correct answers from first 60 questions
Remaining correct answers s/he have to answer
64-45=19
So from remaining 20 questions s/he have to answer 19 correct questions that is
20 × (x/100) = 19
x = 19 ×(100/20)
x = 95%
Explanation:
Such problems, including homelessness, teen parenting, substance abuse,, complicate students' efforts to learn. Other social problems, such as vandalism, school violence, and the dropout rate, are exacerbated when students feel alienated from the school structure.
Using sum and difference identities from trigonometric identities shows that; Asin(ωt)cos(φ) +Acos(ωt)sin(φ) = Asin(ωt + φ)
<h3>How to prove Trigonometric Identities?</h3>
We know from sum and difference identities that;
sin (α + β) = sin(α)cos(β) + cos(α)sin(β)
sin (α - β) = sin(α)cos(β) - cos(α)sin(β)
c₂ = Acos(φ)
c₁ = Asin(φ)
The Pythagorean identity can be invoked to simplify the sum of squares:
c₁² + c₂² =
(Asin(φ))² + (Acos(φ))²
= A²(sin(φ)² +cos(φ)²)
= A² * 1
= A²
Using common factor as shown in the trigonometric identity above for Asin(ωt)cos(φ) +Acos(ωt)sin(φ) gives us; Asin(ωt + φ)
Complete Question is;
y(t) = distance of weight from equilibrium position
ω = Angular Frequency (measured in radians per second)
A = Amplitude
φ = Phase shift
c₂ = Acos(φ)
c₁ = Asin(φ)
Use the information above and the trigonometric identities to prove that
Asin(ωt + φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Read more about Trigonometric Identities at; brainly.com/question/7331447
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Matter becomes energy. Law of thermodynamics states that matter can't be created or destroyed, but can transfer to another form. If it was closed in with the form of energy, it would be transferred to the form of energy.
