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2 years ago

I need help with 1 and 2

Mathematics

1 answer:

ratelena [41]2 years ago

4 0

Answer:3

Step-by-step explanation:

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Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is wha

trapecia [35]

Answer: Number of pizzas out of 4000 that is expected to be pan size

= 4000 * 168 / (326 + 309 + 247 + 168)

= 640

3 0

1 year ago

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x + 12 = 48, where x

zhenek [66]

Answer:

The cost of one ticket is $9

Step-by-step explanation:

we have

4x+12=48

where

x represents the cost of a ticket

Solve for x

Subtract 12 both sides

4x=48-12

4x=36

Divide by 4 both sides

x=36/4=9

therefore

The cost of one ticket is $9

4 0

2 years ago

Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

2 years ago

Find the sum of the first 35 terms of the following series, to the nearest integer.<br> 3, 11, 19...

Tems11 [23]

<h3>Answer: 4865</h3>

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

Explanation:

The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one

3+8 = 11
11+8 = 19

etc. This means the common difference is d = 8.

The first term is a = 3

Let's use this formula

S = n*(2*a + d(n - 1) )/2

so we can find the sum of the first n terms. In this case, n = 35

So,

S = n*(2*a + d(n - 1) )/2

S = 35*(2*3 + 8(35 - 1) )/2

S = 35*(6 + 8(34))/2

S = 35*(6 + 272)/2

S = 35*(278)/2

S = 35*139

S = 4865

4 0

2 years ago

A student took a 20 question test. 16 of the questions were correct. What percent of the questions did the student get correct?

elena-14-01-66 [18.8K]

Answer:

80%

Step-by-step explanation:

16/20 = 0.80

80%

5 0

2 years ago

Read 2 more answers