Alizah is comparing the prices of two apple orchards. At the first orchard, it costs $30 to rent a basket for collecting apples, and every pound of apples collected costs $5. At the second orchard, baskets are free, but the apples cost $20 per pound. How many pounds of apples would Alizah need to collect at each orchard for their costs to be the same?

The vertex is (-1, -6) and the axis of symmetry is -1. The function is minimum. The solution has been obtained by using equation of parabola.

What is a parabola?

Any point on a parabola is equally separated from both the focus, or predetermined point, and the fixed straight line (known as the directrix).

We are given f(x) = 2(x + 1)² - 6

We know that a parabola of equation a(x - h)² + k always has its vertex at (h, k) with axis of symmetry at x = h.

So, the vertex here is (-1, -6) and the axis of symmetry is x = -1.

It is a minimum function because there is a positive value before (x - h)².

Hence, the vertex is (-1, -6) and the axis of symmetry is -1 and the function is minimum.

Learn more about parabola from the given link

https://brainly.com/question/30281619

#SPJ1

The basic parts of a circle are the circumference, diameter, radius, and center. The circumference is the outer boundary of the circle, and it is the distance around the circle.

The diameter is a line segment that passes through the center of the circle and connects two points on the circumference. The radius is a line segment that connects the center of the circle to a point on the circumference.

The center is the point in the middle of the circle, and it is equidistant from all points on the circumference. These four basic parts are essential to understanding the properties of circles, such as their area, circumference, and relationships between different parts.

Learn more about Circles:

https://brainly.com/question/26594685

#SPJ4

To convert mcg to mg, divide the mcg value by 1000. Therefore:

1000 mcg = 1000/1000 mg = 1 mg

So, 1000 mcg is equal to 1 mg.



Answer:

Step-by-step explanation:

x-3 is greater than or less than 7

When two companies have a correlation value of -0.95, there is less than zero covariance between their returns. So statement d is correct.

The correlation coefficient is an important measure that helps to establish a relationship between two variables. Its value is mostly between +1 to -1. Therefore, the value can be positive, negative, or zero. Based on this the types of correlation are positive correlation, negative correlation, and no relation.  This is calculated for the given condition using the below formula,

[tex]\text{correlation coefficient}=\frac{\text{covariance of security}}{\text{SD of security 1}\times\text{SD of security 2}}[/tex].

Here, the SD (standard deviation) is always positive, and the covariance value should be negative or less than zero so that the correlation coefficient of the two companies will be negative (as -0.95). From the given option, d is correct.

To know more about correlation:

https://brainly.com/question/22340487

#SPJ4

Answer:

100

Step-by-step explanation:

The car would be worth $9400 in the year 2004.

If the car depreciates by 11% each year, then its value at the end of each year will be 89% of its value at the beginning of the year (100% - 11% = 89%). Therefore, the value of the car after 1 year will be:

$15000 * 0.89 = $13350

The value of the car after 2 years will be:

$13350 * 0.89 = $11881.50

The value of the car after 3 years will be:

$11881.50 * 0.89 = $10576.77

The value of the car after 4 years (in the year 2004) will be:

$10576.77 * 0.89 = $9422.19

Therefore, the car would be worth $9400 in the year 2004.

Learn more about value here : brainly.com/question/24368848

#SPJ1

a. The probability of finding oil is 0.45

b. The probability of finding high-quality oil is 0.25

c. P(medium quality oil) = 0.20

d. P(no oil) = 0.55

The probabilty of finding oil

P(oil) = P(high quality oil) + P(medium quality oil)

= 0.25 + 0.20

= 0.45

b. P(soil high quality oil) = 0.20

P(medium qty) = 0.80

P(no oil) = 0.20

The probability of finding oil is good.

Given the probability of finding good soil, the oil company is more likely to find medium quality oil.

The new probability of finding oil is

P(High quality) + P(medium quality) =

0.15625 + 0.5

= 0.65625

Using the conditional probabilty formula

Read more about probability here:

https://brainly.com/question/24756209

#SPJ1

So, in response to the above question, we can state that They gathered a total equation of s + 2s = 3s shells.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

In the case where Anna gathered s shells and her brother gathered twice as many, the brother gathered 2s shells.

They gathered a total of s + 2s = 3s shells.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The domain is all real values and the range is y <= 3

From the question, we have the following parameters that can be used in our computation:

The graph

The domian is the set of the input values

In this case, the graph has no restriction on its input

So, we have

Domain = all set of real values

For the range, we have

Maximum y value = 3

So, we have

Range: y <= 3

Read more about domain and range at

https://brainly.com/question/2264373

#SPJ1

the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

Disk/washer method:

[tex]V = π ∫[ln 8]^8 (e^x)^2 dx\\V = π ∫[ln 8]^8 e^2x dx\\V = π(e^2x/2)|[ln 8]^8\\V = π(e^16 - (e^2(ln 8))^8)/2\\V = (π(e^16 - 64)/2)[/tex]

Cylindrical shells method:

[tex]V = 2π ∫[ln 8]^8 x(e^x) dx\\V = 2π ∫[ln 8]^8 xe^x dx\\V = 2π(x(e^x/2) - (e^x/2)ln x)|[ln 8]^8\\V = 2π((ln 8)(e^8 - 8) - (e^8/2)ln 8)\\V = (2π(e^8 - 64ln 8 - 4e^8))/2\\V = (π(e^16 - 64 - 8e^8))/2[/tex]

The disk/washer method can be used to solve for the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the area of a ring, which can be formed by subtracting the area of a disk from the area of the washer. In this case, the area of the disk is π(e^2(ln 8))^8 and the area of the washer is π(e^16). The volume is then equal to the integral of the area of the ring, which is π(e^16 - (e^2(ln 8))^8).

The cylindrical shells method can also be used to find the volume of the solid generated by revolving the given region about the line x = ln 8. This method involves integrating the  of a cylindrical shell, which can be formed by subtracting the area of the inner cylinder from the area of the outer cylinder. In this case, the area of the inner cylinder is 2π(e^8/2)ln 8 and the area of the outer cylinder is 2πln 8e^8. The volume is then equal to the integral of the area of the cylindrical

learn more about area here

https://brainly.com/question/27683633

#SPJ4

108ft is the length of the of the guy wire

Triangles are known to be similar if the ratio of the similar sides of the triangle are equal.

From the given diagram, we need to determine of the guy wire. Using the similarity theorem of a triangle;

8/2 = l/25+2
8/2 = l/27

2l = 8 * 27

l = 4 * 27

l = 108 ft

Hence the length of the of the guy wire, to the nearest foot is 108ft

Learn more on similar triangle here; https://brainly.com/question/2644832
#SPJ1

Answer:

3.542

Step-by-step explanation:

7 1/6 - 3 5/8 = (85/24) = 3(13/24) ≅ 3.5416667.

7⅙ - 3⅝ = 8524 = 3 1324 ≅ 3.5416667 (simplified) = 3.542

Answer: i think the answer would be 75

Answer:

55 chairs.

Step-by-step explanation:

Note the way Liam arranges the chairs.

1) He arranges chairs in 8 rows of the same length, with 7 chairs left over.

8x + 7

2) He arranges chairs in 6 rows of the same length, with 19 chairs left over:

6x + 19

Set the two expressions equal to each other:

8x + 7 = 6x + 19

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6x and 7 from both sides of the equation:

8x (-6x) + 7 (-7) = 6x (-6x) + 19 (-7)

8x - 6x = 19 - 7

2x = 12

Next, divide 2 from both sides of the equation:

(2x)/2 = (12)/2

x = 12/2

x = 6

Plug in 6 for x in both expressions. It should give the same answer:

8x + 7

8(6) + 7 = (8 * 6) + 7 = (48) + 7 = 55

6x + 19

6(6) + 19 = (6 * 6) + 19 = (36) + 19 = 55

~

Therefore, Liam has 55 chairs in all.

~

Learn more about solving system of equations, here:

https://brainly.com/question/13997560

Answer:

1 ≤ x ≤ 9

Step-by-step explanation:

Function g lingered for a while.

h = v 0 y 2 2 g . This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

The projectile formula's maximum height from the graph is H = u 2 sin 2 2 g.

An item named g was launched from a higher location when x=0... g(0)> f(0).

A higher point was reached by the object of  g.

When the object was launched, f's slope was greater than g's slope.

The launch velocity of object f was greater.

To know more about Height visit:

brainly.com/question/14642218

#SPJ1

The value  1 gallon has 128 fluid ounces(oz)

"How many ounces in a gallon?" This is one of the most frequently asked questions regarding liquid measurements. One gallon equals 8 pints, 4 quarts, or 16 cups. There are 128 fluid ounces in a gallon, and this number depends on whether you use imperial or metric units of measure.

There are 128 US fluid ounces in a US gallon. If you're in the UK, you'll find a gallon at 160 UK fluid ounces. This is because the US fluid gallon is smaller than the British imperial gallon (3,785 liters compared to

,5

6 liters). When converting

Gallons to Fluid Ounces, remember that the US Fluid Ounce is larger than the British Imperial Ounce. A US fluid ounce is 29.5735 ml. For comparison, a UK (Imperial) fluid ounce is 28.

131 ml. So the US has a smaller gallon than the UK, but a slightly larger fluid ounce. It's enough to make your head  explode. For these two conversions you need the following information:

1 gallon (US) = 128 ounces (US, Fluid)

1 gallon (UK) = 160 ounces (UK, Fluid)

know more about gallon in oz click here;

https://brainly.com/question/24771151

#SPJ4

Answer:

188 cm rounded to the nearest whole number.

Step-by-step explanation:

1 rotation = 2[tex]\pi[/tex]r

2[tex]\pi[/tex](15)  If the dimeter is 30, the radius is 15

2 rotations would be

2[2[tex]\pi[/tex](15)]

188.495559218

Answer:

188.5 cm

Step-by-step explanation:

Circumference of a circle = C = 2πr = πD

D = 30 cm

C = π(30 cm) = 94.25 cm

2 revs = 2C = 2(94.25) = 188.5 cm

the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08

Given:

The cost price of the car, P = $21100,

The depreciation rate = 2%

Calculate the value of the car after 6 years by the following formula,

A = P (1- r / 100)ⁿ

Here A is the value of the car after 6 years.

Substitute the values,

A = 21100 × (1- 2 / 100)^5,

A = $19,105.08

Therefore, the equation that represents the value of the car after 5 years is Value of car after 5 years = 21,100 x 0.98^5 = 19,105.08

The equation of the normal line to the curve is y = -x + π

To find the equation of the normal line to the curve y = sin(sinx) at x = π, we need to find the slope of the tangent line at x = π and then use that to determine the slope of the normal line. We can find the slope of the tangent line by taking the derivative of y with respect to x and evaluating it at x = π.

y = sin(sinx)

Taking the derivative with respect to x, we get:

dy/dx = cos(sinx) * cosx

At x = π, we have:

dy/dx = cos(sin(π)) * cos(π) = -1 * (-1) = 1

So the slope of the tangent line at x = π is 1. Since the normal line is perpendicular to the tangent line, its slope is the negative reciprocal of 1, which is -1.

Now we need to find the y-intercept of the normal line, which is the point where the line intersects the y-axis. To do this, we can plug in the values of x = π and y = sin(sinx) = sin(sin(π)) = 0 into the equation of the line:

y = mx + b

0 = -1 * π + b

b = π

So the equation of the normal line is:

y = -x + π

To learn more about Normal line :

https://brainly.com/question/28517615

#SPJ4

13×4=52

Ok Multiplacation is a simple Math formula everyone can do so you have to do this:

13+13+13+13=52

Now do this:

13×4=52

Answer is 52

The average rate change of over the interval [-1,1] is 2.

What is an interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific numbers are referred to as an interval. All actual numbers between those two are included in this range.

Given points on the graph is

x   -2     -1     0     1        

y   -4     -3     -1     3

The average rate of change of a function is defined by the expression over the interval a ≤ x ≤ b,

Average rate of change = [f(b) - f(a)]/(b - a)

Here a = -1, b = 1, f(a) = -3, and f(b) = 3

The average rate is (3 - (-3))/ (1 - (-1)) = 2

Learn more about change over the interval, at:

brainly.com/question/23947394

#SPJ1

Recognizing that sin(30º) = 1/2, the exact value of sin(120º) is √3/2.

The exact value of sin(120˚) can be found by using the double angle formula for sine. The formula is:
sin(2θ) = 2sinθcosθ

Since we are given that sin(30˚) = 1/2, we can substitute 30˚ for θ in the formula to find sin(120˚):
sin(120˚) = 2sin30˚cos30˚
sin(120˚) = 2(1/2)(√3/2)
sin(120˚) = √3/2

Therefore, the exact value of sin(120˚) is √3/2.

Note that to solve this type of problem it is crucial to know different types of trigonometric identities.

See more about trigonometric identities at https://brainly.com/question/30402758.

#SPJ11

Answer:

no

Step-by-step explanation:

Answer:

The correct answers to this question would be 2. Tengo un hermano y dos hermanas and 4. Yo tengo tres hermanos.

Using the formula, we can convert milliliters to teaspoons. 1 milliliter equals 0.202 teaspoons, thus 10ml equals 2.02 teaspoons.

The volume unit is milliliters. A teaspoon is also a volume measure, however it is a smaller unit that is commonly used at dinner settings.

One millilitre is equivalent to 0.202 US teaspoons using normal conversion rates.

As a result, we may define the link using the unit conversion idea.

One milliliter is equal to 0.202 teaspoons in the United States.

For example, 10 milliliters equals 2.02 teaspoons.

As a result, we'll need roughly 2 tablespoons to get 10 ml.

To know more about unit conversion, visit,

brainly.com/question/97386

#SPJ4

The converted values of 139 pounds to kilograms in standard form is equal to 63.0493 kilograms.

Scale factor used to convert pounds to kilograms is equal to :

One pounds is equal to 0.453592 kilograms.

Now convert pounds to kilogram by substituting the value in standard form we get,

⇒ 139 pounds = ( 139 ) multiply to ( 0.453592 ) kilograms

⇒ 139 pounds =  139 × 0.453592  kilograms

⇒ 139 pounds =  63.049288 kilograms

⇒ 139 pounds =  63.0493 kilograms

Therefore, the using standard scale factor to convert 139 pounds to kilograms is equal to 63.0493 kilograms.

learn more about kilograms here

brainly.com/question/28844288

#SPJ4