Evaluate the expression 8b/a if b=8 and a=2<br><br> FYI 8b/a is a fraction.

An english reading list has 9 american novels and 7 english novels. A student must read 5 from the list and at least 3 must be e

Elenna [48]

$_7C_3\cdot {_{13}C_2}=\dfrac{7!}{3!4!}\cdot\dfrac{13!}{2!11!}=\dfrac{5\cdot6\cdot7}{2\cdot3}\cdot\dfrac{12\cdot13}{2}=2730$

7 0

3 years ago

The formula for the volume of w sphere is v=4\3 r3 what is the formula solved for r?

Lyrx [107]

V of w sphere = $\frac{4}{3}$ $\pi$ r³
Multiply by 3 on either sides to get rid of the fraction.
$V * 3 = \frac{4}{3} *3 \pi r^3$
3V = 4 $\pi$ r³
Now divide either sides by 4 $\pi$ to isolate r³
$\frac{3V}{4 \pi } = \frac{4 \pi }{4 \pi }$ r³
4 $\pi$ and 4 $\pi$ cancels out
$\frac{3V}{4 \pi }$ = r³
Take the cube root to isolate r.
$\sqrt[3]{ \frac{3V}{4 \pi } } = \sqrt[3]{r^3}$
the cube root cancels the cube

$\sqrt[3]{ \frac{3V}{4 \pi } }$ = r

6 0

3 years ago

PLEASE HELP ME OUT IM FAILING MATH‍♂️ Thx

Tatiana [17]

The question is looking for the amount of boxes (24 per box) needed for the event (300). If you multiply 24 by each number, you would be able to find the answer. 24*11 = 264, so that isn’t enough. 24*12 = 288, and that also isn’t enough. But if you do 24*13, you get 312, which gives you more than enough cupcakes for the event. So the answer is 13.

7 0

3 years ago

Read 2 more answers

What type of angles are <5 and <16

vovikov84 [41]

You forgot to add a picture

8 0

3 years ago

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z. The demand for Model Z depen

grin007 [14]

The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

$D(p) = 180 + 10q - 4p$

Here, <em>p</em> is the price of Model Z.

Consider the following two statements:

1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.

$D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)$

2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.

$D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\$

Put the value of demand at the revenue-maximizing price as,

$Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}$

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

Learn more about the mathematical model here;

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5 0

2 years ago

Evaluate the expression 8b/a if b=8 and a=2 FYI 8b/a is a fraction.