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Klio2033 [76]
2 years ago
9

With a sales tax rate of 7.25% a store in california priced a surfboard at $230 what is the total cost of the surfboard?

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
8 0
If the $230 is the overall cost then its $213.33
If the $230 is the price without tax then its $246.68
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35% of ___ days is 42 days
azamat
(35/100)*42= 14.7 days.

This principle apples to all form conversion that requires finding a percentage of a number.
5 0
2 years ago
Help asap
ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

  • Step 1 - Convert the units for each given juice containers

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

  • Step 2 -Design your own fruit punch recipe with  exactly 5 liters

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0
2 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts
Alexxandr [17]

Answer:

The value of the test statistic is t = 2.67

Step-by-step explanation:

The null hypothesis is:

H_{0} = 7.8

The alternate hypotesis is:

H_{1} \neq 7.8

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem, we have that:

X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}

t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).
lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted C, which we can parameterize by the vector-valued function,

\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)

for 0\le t\le1, which has differential

\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt

Then with x(t)=y(t)=z(t)=1-t, we have

\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r

=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt

\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)(t^2-2t+2)\,\mathrm dt

Complete the square in the quadratic term of the integrand: t^2-2t+2=(t-1)^2+1=(1-t)^2+1, then in the integral we substitute u=1-t:

\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)((1-t)^2+1)\,\mathrm dt

\displaystyle=-2\int_{u=0}^{u=1}e^{u^2}u(u^2+1)\,\mathrm du

Make another substitution of v=u^2:

\displaystyle=-\int_{v=0}^{v=1}e^v(v+1)\,\mathrm dv

Integrate by parts, taking

r=v+1\implies\mathrm dr=\mathrm dv

\mathrm ds=e^v\,\mathrm dv\implies s=e^v

\displaystyle=-e^v(v+1)\bigg|_{v=0}^{v=1}+\int_{v=0}^{v=1}e^v\,\mathrm dv

\displaystyle=-(2e-1)+(e-1)=-e

So, we have by the fundamental theorem of calculus that

\displaystyle\int_C\nabla f(x,y,z)\cdot\mathrm d\mathbf r=f(1,1,1)-f(0,0,0)

\implies-e=f(1,1,1)-2

\implies f(1,1,1)=2-e

3 0
3 years ago
A deck of cards is shuffled. what is the chance that the top card is the king of spades and the bottom card
Elanso [62]
<span>After shuffling a deck of cards in order to know the probability of the king of spades being the top card, you have to first know how many cards are in the deck. If the card is a full deck with no jokers, then the probability is 1/52. This is also the probability that the bottom card is the King of spades.</span>
7 0
3 years ago
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