1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
LuckyWell [14K]
3 years ago
9

Of the 482 graduating seniors at Palmdale High School, approximately 5/8 are going to college, and approximately 1/2 of those go

ing to college are going to an in-state school. Which of the following is the closest estimate for how many of the graduating seniors are going to an in-state school?
Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

Answer:A

Step-by-step explanation:

trust

You might be interested in
How much money should be deposited today in an account that earns 5.5% compounded monthly so that it will accumulate to $12,000
mrs_skeptik [129]

Answer:

MaybeIf you do 12,000 times 5.5 and didved by 100?

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
What is the greatest value of 3x+8
KatRina [158]

its infinity.

 x can be any number in the world

3 0
3 years ago
Multiply these decimals. Show your work. (a) 2.7 x 46 (b) 3.8 x 7.5 (c) 0.91 x 7.644
solniwko [45]
A. 124.2
B. 28.5
C. 6.95604

6 0
3 years ago
Read 2 more answers
Help me with trigonometry
poizon [28]

Answer:

See below

Step-by-step explanation:

It has something to do with the<em> </em><u><em>Weierstrass substitution</em></u>, where we have

$\int\, f(\sin(x), \cos(x))dx = \int\, \dfrac{2}{1+t^2}f\left(\dfrac{2t}{1+t^2}, \dfrac{1-t^2}{1+t^2} \right)dt$

First, consider the double angle formula for tangent:

\tan(2x)= \dfrac{2\tan(x)}{1-\tan^2(x)}

Therefore,

\tan\left(2 \cdot\dfrac{x}{2}\right)= \dfrac{2\tan(x/2)}{1-\tan^2(x/2)} = \tan(x)=\dfrac{2t}{1-t^2}

Once the double angle identity for sine is

\sin(2x)= \dfrac{2\tan(x)}{1+\tan^2(x)}

we know \sin(x)=\dfrac{2t}{1+t^2}, but sure,  we can derive this formula considering the double angle identity

\sin(x)= 2\sin\left(\dfrac{x}{2}\right)\cos\left(\dfrac{x}{2}\right)

Recall

\sin \arctan t = \dfrac{t}{\sqrt{1 + t^2}} \text{ and } \cos \arctan t = \dfrac{1}{\sqrt{1 + t^2}}

Thus,

\sin(x)= 2 \left(\dfrac{t}{\sqrt{1 + t^2}}\right) \left(\dfrac{1}{\sqrt{1 + t^2}}\right) = \dfrac{2t}{1 + t^2}

Similarly for cosine, consider the double angle identity

Thus,

\cos(x)=  \left(\dfrac{1}{\sqrt{1 + t^2}}\right)^2- \left(\dfrac{t}{\sqrt{1 + t^2}}\right)^2 = \dfrac{1}{t^2+1}-\dfrac{t^2}{t^2+1} =\dfrac{1-t^2}{1+t^2}

Hence, we showed \sin(x) \text { and } \cos(x)

======================================================

5\cos(x) =12\sin(x) +3, x \in [0, 2\pi ]

Solving

5\,\overbrace{\frac{1-t^2}{1+t^2}}^{\cos(x)} = 12\,\overbrace{\frac{2t}{1+t^2}}^{\sin(x)}+3

\implies \dfrac{5-5t^2}{1+t^2}= \dfrac{24t}{1+t^2}+3 \implies  \dfrac{5-5t^2 -24t}{1+t^2}= 3

\implies 5-5t^2-24t=3\left(1+t^2\right) \implies -8t^2-24t+2=0

t = \dfrac{-(-24)\pm \sqrt{(-24)^2-4(-8)\cdot 2}}{2(-8)} = \dfrac{24\pm 8\sqrt{10}}{-16} =  \dfrac{3\pm \sqrt{10}}{-2}

t=-\dfrac{3+\sqrt{10}}{2}\\t=\dfrac{\sqrt{10}-3}{2}

Just note that

\tan\left(\dfrac{x}{2}\right) =  \dfrac{3\pm 8\sqrt{10}}{-2}

and  \tan\left(\dfrac{x}{2}\right) is not defined for x=k\pi , k\in\mathbb{Z}

6 0
3 years ago
David had a coupon for the grocery store. He graphed on the x-axis what his total bill would be if he didn’t use the coupon and
vladimir2022 [97]

Answer:

68$ Is your answer

Step-by-step explanation:

Hope this helps

6 0
3 years ago
Read 2 more answers
Other questions:
  • The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally dis
    10·1 answer
  • List from least to greatest <br> 3.87 3 1/2 5
    14·1 answer
  • 4x-15=25 what’s the answer to this? It’s a two step equation
    9·2 answers
  • 36 points PLZ HELP Solve for x in terms of y if\[4x + 2y = 7.\]
    12·1 answer
  • What is <br><img src="https://tex.z-dn.net/?f=%20%7By%7D%5E%7B2%7D%20%20%3D%2044" id="TexFormula1" title=" {y}^{2} = 44" alt="
    6·1 answer
  • You have a shuffled deck of three cards: 2, 3, 4. You draw one card. Let C_i denote the event that the card i is picked. Let E d
    7·1 answer
  • Write the decimal for 1/8. Explain why this decimal is called a terminating decimal
    7·1 answer
  • How do you do number 25? At the bottom.
    10·1 answer
  • знайдіть розв'язок системи лінійних рівнянь 10x-6y = 18 9x+6y=39
    9·1 answer
  • Which of the following is the total number of pennies on Rows 1-4 (the first 32 squares)? 232 – 1 232 232 1.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!