In Martha's food storage, she has 11 cans of chicken noodle soup, 26 cans of tomato soup, and 7 cans of mushroom soup. If she randomly chooses a can of soup from her food storage, what is the probability it is a can of tomato soup

The value of the derivative d/dx(u/v) at x = 1, with the given function values and their derivatives, is -11/18.

the derivative of the quotient (u/v), we can use the quotient rule, which states that the derivative of (u/v) is given by [(v * u') - (u * v')] / v^2.

Given values:

u(1) = 2

u'(1) = -5

v(1) = 6

v'(1) = -4

Now, let's substitute the values into the derivative formula:

d/dx(u/v) = [(v * u') - (u * v')] / v^2

At x = 1, we have:

[(v(1) * u'(1)) - (u(1) * v'(1))] / v(1)^2

= [(6 * (-5)) - (2 * (-4))] / 6^2

= [-30 + 8] / 36

= -22 / 36 = -11 / 18

Therefore, the value of the derivative d/dx(u/v) at x = 1, with the given function values and their derivatives, is -11/18.

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Answer:

Step-by-step explanation:

complete the square:

Take a quadratic equation : ax²+bx+c and turn it to

a(x+d)²+e

d=b/2a and e=c-b²/4a

y=x^2 - 14x + 48

a=1 , b=-14 , c=48

d=-14/2=-7

e= 48-14²/4

e= 48-49

e=-1

complete the square  for y=x²-14x+48

y= (x-7)²-1

Answer:

The question is not clear that I'm not sure that .8 m is radius or diameter...Let's assume it is a radius....circumference of this circle is C=2 pi r =2 (3.14) (.8)=5.024

Step-by-step explanation:

Let round to the nearest tenth C= 5.024 = 5.020

Answer:

blurr...

Step-by-step explanation:

The absolute minimum value of y =-cos(x) - sin(x) on the closed interval [0, π/2] is  \(-\sqrt{2}\)

Consider equation,

y = -cos(x) - sin(x)

Let y = f(x)

Differentiate the function f(x) = -cos(x) - sin(x) with respect to x.

f'(x) = -(-sin(x)) - cos(x)

f'(x) = sin(x) - cos(x)

For f'(x) = 0,

sin(x) - cos(x) = 0

sin(x) = cos(x)

sin(x)/cos(x) = 1

tan(x) = 1                     ..............(tan(θ) = sin(θ)/cos(θ))

x = π/4

For above value of x, the value of function would be,

f(π/4) = -cos(π/4) - sin(π/4)

f(π/4) = \(-\frac{1}{\sqrt{2} } -\frac{1}{\sqrt{2} }\)

f(π/4) = \(-\sqrt{2}\)

f(0) =  -cos(0) - sin(0)

f(0) = -1

And f(π/2) = -cos(π/2) - sin(π/2)

       f(π/2) = -1

So, the minimum value of f(x) is  \(-\sqrt{2}\),  shown in the following graph.

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Answer:

\( \sin(R) = \frac{6}{ \sqrt{97} } \)

Step-by-step explanation:

Sin R = Opposite / hypotenuse

I hope I helped you^_^

To calculate the real GDP in 2020 using 2020 as the base year, we need to multiply the quantities produced in 2020 by the prices in 2020.

From the table, we can see that in 2020, the quantity of cameras produced is 20, the quantity of legal services is 100, and the quantity of books is 150.

The corresponding prices for cameras, legal services, and books in 2020 are $50, $200, and $10 respectively.

To calculate the real GDP, we multiply the quantities produced by their corresponding prices:

Real GDP = (Quantity of cameras in 2020 * Price of cameras in 2020) + (Quantity of legal services in 2020 * Price of legal services in 2020) + (Quantity of books in 2020 * Price of books in 2020)

Real GDP = (20 * $50) + (100 * $200) + (150 * $10)

Simplifying the equation:

Real GDP = $1000 + $20,000 + $1500

Real GDP = $22,500

Therefore, the real GDP in 2020, using 2020 as the base year, is $22,500.

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Answer:

cute ko hahahahahahahahahahahahahaha

This problem is asking for the ratio of change.

To find the ratio, we have to use two pairs: (3, 223) and (9, 193).

Then, we use the following formula.

Where,

We replace these coordinates.

Therefore, the water is leaking out 5 gallons per second.

Arithmetic sequence {12, 5, -2, -9, ...} defined by first term 12 and common difference -7.

What is arithmetic sequence ?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.

The sequence {12, 5, -2, -9, -16 ... } can be defined by the following items:

The first term: 12

The common difference: -7

The pattern of adding the common difference to find the next term.

Therefore, all the items that define the sequence are:

The first term: 12

The common difference: -7

This sequence is an arithmetic sequence.

Arithmetic sequence {12, 5, -2, -9, ...} defined by first term 12 and common difference -7.

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Answer:

40%

Step-by-step explanation:

Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100

(32 / 80) x 100 = 40%

9514 1404 393

Answer:

  F  altitude

Step-by-step explanation:

AB is perpendicular to triangle base XZ, so is an altitude of the triangle.

__

Additional comment

B is not the midpoint of XZ, so AB is not the median and not a bisector of XZ. Likewise, AB is not the angle bisector of angle A. (The triangle would have to be isosceles for AB to be a perpendicular bisector, median, and angle bisector.)

Eliminating the choices that can't work leaves the one that does work. AB is the altitude.

Answer:

Altitude

Step-by-step explanation:

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer: The surface area of a cylinder is given by the formula:

S = 2πr^2 + 2πrh

where r is the radius of the base, h is the height of the cylinder, and π is the mathematical constant pi.

Given that the two cylinders have the same surface area, we can set up an equation using the formula above for each cylinder and equate them.

For the shorter cylinder:

S = 2π(3)^2 + 2π(3)(2) = 36π

For the taller cylinder:

S = 2π(2)^2 + 2π(2)h = 8π + 4πh

Since the two cylinders have the same surface area, we can set the two equations equal to each other and solve for h:

8π + 4πh = 36π

Simplifying the equation:

4πh = 28π

Dividing both sides by 4π:

h = 7

Therefore, the height of the taller cylinder is 7 cm.

Answer: 7.

Step-by-step explanation:

The Simplified value is \(\frac{-3}{4} a^{2} +2b^{2}\).

Like terms are defined as terms that have same variable and and same power.

For Example ; 2a² , 6a² are like terms.

In the given question ,

\(=-a^{2} +2b^{2} +\frac{1}{4} a^{2} \\ \\ =-a^{2} +\frac{1}{4} a^{2} +2b^{2}\)

\(=a^{2}(-1+\frac{1}{4} )+2b^{2}\)  ( taking a² common )

taking LCM and solving further we get

\(=a^{2} (\frac{-4+1}{4} )+2b^{2}\)

\(=\frac{-3}{4} a^{2} +2b^{2}\)

Therefore , The value by combining Like terms in -a² + 2b² + (1/4) a² is \(\frac{-3}{4} a^{2} +2b^{2}\).

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Answer:

the ending balance is $531.51

Step-by-step explanation:

The computation of the ending balance is shown below:

= Opening balance + all deposits - all withdrawls

= $500 + $100 + $250 + $300 - $400.32 - $100 - $55.55 - $62.62

= $531.51

hence, the ending balance is $531.51

Answer:

△ABCtriangle and △CDAtriangle, by side-angle-side

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

Given is a parallelogram as shown in the image.

In order to prove ABCD as a parallelogram, we can prove ΔABE and ΔCDE congruent to each other by Angle - Angle - Side congruent property as -

∠BAE = ∠DCE     {Alt. int. angles}

∠ABE = ∠CDE     {Alt. int. angles}

AB = CD    {Given}

Therefore, she can prove ABCD as a parallelogram by proving -

ΔABE ≅ ΔCDE using AAS criteria.

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Answer:

I believe it is C... since the largest angle is always across from the longest side, where as the smallest angle is across from the shortest side.

Step-by-step explanation:

hope this helps :P hav a fantastic day

Answer:

\(y=\frac{1}{7} x-\frac{1}{14}\)

Step-by-step explanation:

\(2x-14y=1\\-14y=-2x+1\\\\\frac{-14y=-2x+1}{-14} \\\\y=\frac{2}{14}x -\frac{1}{14} \\\\y=\frac{1}{7}x-\frac{1}{14}\)

1. subtract 2x from both sides

2. divide both sides by -14

3. simplify

In a large-sample test with a significance level of 0.01, we are testing the null hypothesis H:p = 0.2 against the alternative hypothesis H:p > 0.2. We are given the alternative value p = 0.21 and asked to calculate the power B(p = 0.21) for different sample sizes (n = 100, 2500, 10,000, 40,000, and 90,000). We are also asked to compute the P-value when the observed proportion f is 0.21 for sample sizes of 100, 2500, 10,000, and 40,000. Lastly, we need to determine whether it is reasonable to use a level 0.01 test with a sample size of 40,000.

a. To compute the power B(p = 0.21) for different sample sizes (n = 100, 2500, 10,000, 40,000, and 90,000), we need to find the probability of rejecting the null hypothesis when the alternative value is p = 0.21. Using the normal approximation to the binomial distribution, we calculate the test statistic Z = (f - p) / sqrt(p(1 - p) / n), where f = 0.21 is the observed proportion. We then find the corresponding area under the standard normal curve to the right of the test statistic to obtain the power. Repeat this process for each sample size to compute the respective powers.

b. To compute the P-value when f = 0.21 for different sample sizes (n = 100, 2500, 10,000, and 40,000), we calculate the test statistic Z as before and find the area under the standard normal curve to the right of the test statistic. This gives us the probability of observing a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true.

c. Whether it is reasonable to use a level 0.01 test in conjunction with a sample size of 40,000 depends on several factors. A larger sample size generally provides greater power and reduces the probability of a Type II error. If a small effect size is of interest or if high precision is required, a large sample size like 40,000 may be reasonable. However, it is important to consider the cost, feasibility, and practicality of obtaining such a large sample size. Additionally, other factors such as the context of the study, the importance of the decision being made, and the potential impact of Type I and Type II errors should be taken into account when determining the appropriateness of the chosen level and sample size.

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The anwer is 62 degrees

Step-by-step explanation:

angle x and the angle with a measure of 62 degrees are alternate exterior angles therefore they are congruent

Answer:

As sedimentation continues, the earlier deposited sediments are laden with an increasing overburden. ... Dissolved minerals in the ground water precipitate (crystallize) from water in the pore spaces forming mineral crusts on the sedimentary grains, gradually cementing the sediments, thus forming a rock.

Step-by-step explanation:

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

6:6=3:3=1:1=160/2=80

160/2=80 male

160/2=80 female

80 female

Answer:

5x+x=132

Step-by-step explanation:

132/6=22

22*5=110

Charlie weighs 110 pounds and Tali weighs 22 pounds.

Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

Answer:

28.26 units

Step-by-step explanation:

We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.

A = π(3^2) or A = π * 3 * 3

When you substitute pi for 3.14, you'll end up getting 28.26 units.

Hope this helped! :)