3 years ago

Twenty-one students at a school have an allergy to peanuts, shellfish, or both.

1 answer:

5 0

This doesn't make any sense... bc if you add the amount of students allergic to peanuts and the amount of students allergic to shellfish, the number is 24, which is over 21?

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Ap calc multiple choice question; attached below please explain how, please!

anygoal [31]

Answer:

C. $\frac{f(b)-f(1)}{b-1}=20$

General Formulas and Concepts:

Calculus

Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

MVT is also Average Value

Step-by-step explanation:

Step 1: Define

$f(x)=e^{2x}$

f'(c) = 20

Interval [1, b]

Step 2: Check/Identify

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

Step 3: Mean Value Theorem

Substitute: $20=\frac{ f(b)-f(1)}{b-1}$
Rewrite: $\frac{ f(b)-f(1)}{b-1}=20$

And we have our final answer!

5 0

3 years ago

Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 b

TiliK225 [7]

The ratio is 1:4
She could use 4 gems and 16 flowers 4 x 4 = 16 7 stickers and 28 glue dots 7 x 4 = 28

8 0

3 years ago

Convert 0.2146666 into fraction in its simplest form

Lana71 [14]

Answer:

1073333/5000000

Step-by-step explanation:

To convert from decimal to fraction : take denominator as 10000000.

2146666/10000000

1073333/5000000

4 0

2 years ago

Read 2 more answers

If the discriminant of a quadratic equation is 6, how many solutions does the equation have?

Dominik [7]

When discriminant >0, then it contrains 2 distinct real zeros.
Discriminant=6 and 6>0 so, you have 2 solutions.

6 0

3 years ago

True or False: According to the Order of Operations, exponents are applied before the expression in parentheses, and addition

faust18 [17]

False because parentheses go first.... just follow PEMDAS

8 0

3 years ago