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3 years ago

Olivia buys 6 packs of muffins. she uses a Coupon and saves $3 off the total.

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

Step-by-step explanation:

the six(6) muffins plus the $3 she saved

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-3/7*(-8)= plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Sindrei [870]

Answer:

3.42857143

Step-by-step explanation:

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4 years ago

Read 2 more answers

Acapulco, Mexico and Hyderabad, India both lie at 17° north latitude, and lie very nearly halfway around the world from each oth

Nataly_w [17]

In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:
$L=2 \pi R \frac{C}{360}$
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass

We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
$L=2* \pi *3960* \frac{180}{360} \\ \\ L=12440.71 miles$

If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
$L=2* \pi *3960* \frac{146}{360} \\ \\ L=10090.8 miles$

We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles

6 0

3 years ago

Find thd <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D" id="TexFormula1" title="\frac{dy}{dx}" alt="\frac{dy}{dx}" a

NARA [144]

$x^3y^2+\sin(x\ln y)+e^{xy}=0$

Differentiate both sides, treating $y$ as a function of $x$ . Let's take it one term at a time.

Power, product and chain rules:

$\dfrac{\mathrm d(x^3y^2)}{\mathrm dx}=\dfrac{\mathrm d(x^3)}{\mathrm dx}y^2+x^3\dfrac{\mathrm d(y^2)}{\mathrm dx}$

$=3x^2y^2+x^3(2y)\dfrac{\mathrm dy}{\mathrm dx}$

$=3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}$

Product and chain rules:

$\dfrac{\mathrm d(\sin(x\ln y)}{\mathrm dx}=\cos(x\ln y)\dfrac{\mathrm d(x\ln y)}{\mathrm dx}$

$=\cos(x\ln y)\left(\dfrac{\mathrm d(x)}{\mathrm dx}\ln y+x\dfrac{\mathrm d(\ln y)}{\mathrm dx}\right)$

$=\cos(x\ln y)\left(\ln y+\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}\right)$

$=\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}$

Product and chain rules:

$\dfrac{\mathrm d(e^{xy})}{\mathrm dx}=e^{xy}\dfrac{\mathrm d(xy)}{\mathrm dx}$

$=e^{xy}\left(\dfrac{\mathrm d(x)}{\mathrm dx}y+x\dfrac{\mathrm d(y)}{\mathrm dx}\right)$

$=e^{xy}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)$

$=ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}$

The derivative of 0 is, of course, 0. So we have, upon differentiating everything,

$3x^2y^2+6x^3y\dfrac{\mathrm dy}{\mathrm dx}+\cos(x\ln y)\ln y+\dfrac{\cos(x\ln y)}y\dfrac{\mathrm dy}{\mathrm dx}+ye^{xy}+xe^{xy}\dfrac{\mathrm dy}{\mathrm dx}=0$

Isolate the derivative, and solve for it:

$\left(6x^3y+\dfrac{\cos(x\ln y)}y+xe^{xy}\right)\dfrac{\mathrm dy}{\mathrm dx}=-\left(3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}\right)$

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^2+\cos(x\ln y)\ln y-ye^{xy}}{6x^3y+\frac{\cos(x\ln y)}y+xe^{xy}}$

(See comment below; all the 6s should be 2s)

We can simplify this a bit by multiplying the numerator and denominator by $y$ to get rid of that fraction in the denominator.

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x^2y^3+y\cos(x\ln y)\ln y-y^2e^{xy}}{6x^3y^2+\cos(x\ln y)+xye^{xy}}$

3 0

3 years ago

Please help thank you

marissa [1.9K]

The absolute value of y is further from 0.

Explanation:
The absolute value of any number is a positive. If the value of y is greater than x, then y would be further. Let’s input a number as an example. Let’s say that the absolute value of y was 9 and the absolute value of x is 4 due to the y value being larger. 4 is closer to 0 compared to 9 so the absolute value of y is further from 0.

3 0

3 years ago

The average thickness of a chicken eggshell is 0.000356 m. Write an estimate for the average thickness of a chicken eggshell as

Alekssandra [29.7K]

The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We're given that:

Average thickness of a chicken eggshell = 0.000356 m

We can rewrite it as:

$0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}$

Since we need to write it as a single digit times an integer power of 10, therefore, we get:
$3.56 \times 10^{-4} \approx 4 \times 10^{-4}$

Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

Learn more about scientific notation here:

brainly.com/question/3112062

#SPJ1

5 0

2 years ago