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Ne4ueva [31]
3 years ago
9

The number of boys to girls in math class is 2:3 If there are 21 girls in Mrs. Vest's math class, how many boys are there? Can w

e use what we know about quivalent ratios to figure out how many boys are in the class?​
Mathematics
2 answers:
slega [8]3 years ago
6 0

Answer:

There are 14 boys in the class. Yes, we can use what we know to figure out how many boys are in the class.

Step-by-step explanation:

think about the ratio as a fraction if the fraction is 2/3 and then compare it to x/21 21/3 is 7 and 7*2 is 14

torisob [31]3 years ago
5 0

Answer:

there are 6 boys in the class

Step-by-step explanation:

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If the speed of a is 3 ft/s up and is increasing at 4 what is the instantaneous speed and acceleration
Tasya [4]
Sorry I'm in high school.. but according to my physics class, the instantaneous speed is when t (time) is 0, or whatever you'd use (like x).. anyways, when t=0, the instantaneous speed would be 3 ft/s, and the instantaneous acceleration is 0.
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I need help with all of these
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3 years ago
A person standing close to the edge on the top of a 400-ft building drops a baseball. The quadratic function h left parenthesis
swat32

Answer:

h(0)=400

The above function value for h(0) shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

Step-by-step explanation:

Given:

The quadratic function that models the height of the baseball above the ground in feet , t seconds after it was dropped is given as:

h(t)=-16t^2+400

To find h(0) and interpret the meaning of the function value in contect of the problem.

Solution:

In order to find h(0), we will replace t=0 in the given function as h(t) is a function of time t.

Thus, we have:

h(0)=-16(0)^2+400

h(0)=16(0)+400

h(0)=0+400

h(0)=400  (Answer)

The above function value for h(0) shows that height of the ball before it was dropped i.e. at time = 0 seconds.

The height of the ball above the ground before it was dropped = 400 ft.

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3 years ago
WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ
steposvetlana [31]

Answer:

Part A:

\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}  

\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}  

\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}  

But when it is about division:

\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}  

<u>Example of subtraction of polynomials:</u>

<u />(2x^2+2x+3) - (x^2+5x+2)<u />

<u />x^2-3x+1<u />

Step-by-step explanation:

<u>First, it is very important to define what is a polynomial in standard form: </u>

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

x^5-5x^4+3x^3-3x^2+7x+20

but,

x^5+3x^3-3x^2+7x+20-5x^4 is not in standard form.

For this question, I can simply give the answer: x^5-5x^4+3x^3-3x^2+7x+20 and it is correct.

But I will create a fifth-degree polynomial using this formula

$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$

Also, note that

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

For a=x \text{ and } b=7

$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$

\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5

Sorry but I will not type every step for each value of k

The first one is enough.

For k=0

$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$

Doing that for k values:

\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807

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Which of the following are the roots of 3x^2-10x+5
Yuliya22 [10]
<span><span> x =(4-√-104)/6=(2-i√ 26 )/3= 0.6667-1.6997i</span><span> x =(4+√-104)/6=(2+i√ 26 )/3= 0.6667+1.6997i</span></span>
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