which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D

Answer: 240¢

Step-by-step explanation:

100¢ in a dollar.

$2.40 * 100 = 240

240¢

The maximum value achieved by f(x) on the interval [0,6] is 21, which occurs at x=3. The minimum value is -12, which occurs at x=0 and x=6.

To find these values, we take the derivative of f(x), set it equal to zero, and solve for x. We then plug in the values of x and evaluate f(x) to find the corresponding maximum and minimum values.

Since the derivative is positive to the left of x=3 and negative to the right, we know that we have a maximum value at x=3.

Similarly, since the derivative is negative to the left of x=0 and positive to the right of x=6, we know that we have minimum values at x=0 and x=6. The graph of f(x) also confirms these results.

To know more about derivative click on below link:

https://brainly.com/question/25324584#

#SPJ11

Answer:

x=58

Step-by-step explanation:

Answer:

x=26 degree

Step-by-step explanation:

x+106+48 =180 degree (sum of interior angles of a triangle is 180 degree)

x+154=180

x=180-154

x=26 degree

therefore the value of x is 26 degree.

Answer:

r = 5  

I just turned it in it was correct

Step-by-step explanation:

please mark brainliest

Answer:

7 = 2 + r

Step-by-step explanation:

So since we know the hanger is balanced, we can determine that r = the amt. of the other side - 2. =>

We can count the amt. of "1" on the side of the hanger with only 1 --> to get 7 "1" which is 7(1) = 7.

The other side with "r" has 2 "1" thus --> 2(1) = 2

So, 7 = 2 + r is our equation and if we were to solve for r, => r = 5

Hope this helps!

The formula becomes:

A = 2π∫1^4 sqrt

Rotate the curve y = \(x^{3/27\), 0 ≤ x ≤ 3, about the x-axis.

To find the surface area of the solid generated by rotating the curve y = \(x^3\)/27, 0 ≤ x ≤ 3, about the x-axis, we can use the formula:

A = 2π∫\(a^b\) f(x) √(1 + [f'(x)\(]^2\)) dx

where f(x) is the function defining the curve, and a and b are the limits of integration.

In this case, we have:

f(x) =\(x^{3/27\)

f'(x) = \(x^{2/9\)

So, the formula becomes:

A = 2π∫0^3 (\(x^{3/27\)) √(1 +\([x^{2/9}]^2\)) dx

We can simplify the integrand by noting that:

1 + [\(x^2\)/9\(]^2\) = 1 + \(x^{4/81\) = (\(x^4\) + 81)/81

So, the formula becomes:

A = 2π/81 ∫\(0^3 x^3\) √(\(x^4\) + 81) dx

This integral is not easy to evaluate by hand, so we can use numerical methods or a computer algebra system to obtain an approximate value.

Using a numerical integration tool, we find that:

A ≈ 23.392 square units

Therefore, the surface area of the solid generated by rotating the curve y = x^3/27, 0 ≤ x ≤ 3, about the x-axis is approximately 23.392 square units.

Rotate the curve y = 4 - \(x^2\), 0 ≤ x ≤ 2, about the x-axis.

To find the surface area of the solid generated by rotating the curve y = 4 - x^2, 0 ≤ x ≤ 2, about the x-axis, we can again use the formula:

A = 2π∫\(a^b\) f(x) √(1 + [f'(x)]\(^2\)) dx

In this case, we have:

f(x) = 4 - \(x^2\)

f'(x) = -2x

So, the formula becomes:

A = 2π∫\(0^2\) (4 - \(x^2\)) √(1 + [-2x\(]^2\)) dx

Simplifying the integrand, we get:

A = 2π∫0^2 (4 - x^2) √(1 + 4x^2) dx

This integral is also not easy to evaluate by hand, so we can use numerical methods or a computer algebra system to obtain an approximate value.

Using a numerical integration tool, we find that:

A ≈ 60.346 square units

Therefore, the surface area of the solid generated by rotating the curve y = 4 - \(x^2\), 0 ≤ x ≤ 2, about the x-axis is approximately 60.346 square units.

Rotate the curve y = sqrt(x), 1 ≤ x ≤ 4, about the x-axis.

To find the surface area of the solid generated by rotating the curve y = sqrt(x), 1 ≤ x ≤ 4, about the x-axis, we can again use the formula:

A = 2π∫\(a^b\) f(x) √(1 + [f'(x)\(]^2\)) dx

In this case, we have:

f(x) = sqrt(x)

f'(x) = 1/(2sqrt(x))

So, the formula becomes:

A = 2π∫\(1^4\) sqrt

To learn more about generated visit:

https://brainly.com/question/10736907

#SPJ11

Answer:

√21 is irrational

Step-by-step explanation:

√21 = 4.58257569495584 which is a non-terminating decimal.

Therefore √21 is irrational.

Answer: No, it cannot be a rational number.

Step-by-step explanation:

A rational number is defined to be a whole number (ex. 1, 2, 3) or can be decimals that continuously repeat the digits after the point. In the case of a square root, they can be rational--but this only applies to perfect squares: √100, √64, √16, etc, which would give an outcome of a whole number. Therefore, √21 is not a rational number, as the decimal value is 4.57257, and is not continuous (ex. 3.666666).

The dimensions of the poster with an area of 392 square inches is equal to 14 inches and 28 inches.

Area of rectangular poster to print = 392 square inches

Let us assume that dimensions of the posters are,

Width of the poster is x inches and the length of the poster is y inches.

Area of the rectangular poster is,

xy = 392

Add 2 inches to the top and bottom margins for a total of 4 inches

And 1 inch to the left and right margins for a total of 2 inches.

Total area of the poster including the margins using the following equation,

Total area = (x + 2) × (y + 4)

Minimize the total area of the poster while still satisfying the area constraint.

Use the first equation to solve for one variable

And substitute it into the second equation,

y = 392/x

Total area = (x + 2) × (392/x + 4)

⇒ Total area = 4x + 392 +784/x + 8

⇒Total area = 4x + 400 +784/x

Minimize the total area, take the derivative of this expression with respect to x and set it equal to 0,

d/dx (4x + 400 +784/x ) = 0

⇒  4 + 0 - 784/x² = 0

⇒ x² = 784 /4

⇒ x = 14

Substituting this value of x back into the equation for y, we get,

y = 392/14

  = 28

Therefore, the dimensions of the poster should be 14 inches by 28 inches.

Learn more about dimensions here

brainly.com/question/29803134

#SPJ4

Answer:

4=$17.60

1=$17.60/4

1=$4.40

Step-by-step explanation:

The point at coordinates (4, 0) meters, directly in front of one of the speakers and perpendicular to the plane of the speakers, will experience maximum constructive interference.

In the scenario of two speakers, when a point is located directly in front of one of the speakers and perpendicular to the plane of the speakers, it is in what is known as the "forward direction". This means that the sound waves from both speakers are in phase at that point, leading to constructive interference.

Constructive interference occurs when the peaks of two sound waves align, resulting in a combined wave with a higher amplitude. Since the point is equidistant from the two speakers and directly in front of one of them, the sound waves from both speakers will reach the point in phase, reinforcing each other and producing maximum constructive interference.

As a result, at the point (4, 0) meters, there will be an increased sound intensity due to the constructive interference of the sound waves from the two speakers.

Learn more about perpendicular here

https://brainly.com/question/28063031

#SPJ11

Answer:

I think its C

Step-by-step explanation:

9514 1404 393

Answer:

  a) $15,779.70

  b) $13,679.70

  c) $210.92

Step-by-step explanation:

a) When tax is added, the total cost is ...

  total = price × (1 +tax rate)

  total = $14,775 × 1.068 = $15,779.70

__

b) The amount financed is the difference between the total cost and the down payment.

  financed = total - down35

  financed = $15,779.70 -2100 = $13,679.70

__

c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.

  A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P

  A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92

Possible length of the third side of the Triangle must be between 11 and 23.

As the third side of the triangle is between the sum of the sides and difference of the sides excluding both the numbers.

As triangle consist of three sides and it should must be in between two extreme values.

As by the property of Triangle

Third side should be less than sum of the sides and,

it should be greater than difference of the sides.

Sum of the sides = AB + BC = 6 + 17 = 23

Difference of the sides = 17 - 6 = 11

Then the third side will be between 11 and 23 excluding 11 and 23.

To learn more about Triangles, Visit:

https://brainly.com/question/29083884

#SPJ1

(a) The expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3).

(b) The least possible integer value of x for the rectangular solid to exist is 4.

a. To express the length, width, and height of the right rectangular prism in terms of x, we can factor the volume expression, 6x³ - 3x² - 45x.

Factoring out the greatest common factor, 3x:

3x(2x² - x - 15)

Now, factor the quadratic expression:

3x(2x² - x - 15)

To factor the quadratic expression further, find two numbers whose product equals the constant term (-15) and whose sum equals the coefficient of the linear term (-1). These two numbers are -5 and 3.

3x(2x + 5)(x - 3)

Thus, the expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3)

b. For the rectangular solid to exist, all dimensions (length, width, and height) must be positive. Let's examine the constraints on x for each dimension:

1. 3x > 0
2. 2x + 5 > 0 → x > -5/2
3. x - 3 > 0 → x > 3

Since x must satisfy all three inequalities, the least possible integer value of x for the rectangular solid to exist is x = 4.

Learn more about factor here: https://brainly.com/question/28589848

#SPJ11

Answer:

i)

Your answer is correct

ii)

Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒

DC = BC ⇒ intercepted arcs are same ⇒

mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒

iii)

∠CBA

∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)

∠BAE

EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:

∠DCE

Answer:

122

Step-by-step explanation:

61 x 2 = 122

The measurement of angle ABC is 122°.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,(h, k) is the center of a circle, "r" is the radius of the circle.

Given, a figure of the circle that gives the center of the circle is B.

Since, the Centre angle is twice the size of the angle of the circumference, made by the same arc.

Since both angles, ∠ABC and ∠ADC are made by the same arc AC.

Thus,

The angle made on the center = 2 * the angle made on the circumference,

The angle made on centre = 2 * 61

The angle made on center = 122°

Therefore, The measurement of angle ABC is 122°.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ7

Answer:

8!

Step-by-step explanation:

Answer) 8!

Explanation) i dont have one :')

C(x)= 50.41

for the minute multiplying 9×50= 400 minute

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

For more questions on: gradient

https://brainly.com/question/29578324

#SPJ8    

Answer:

All of them would be under $65

Answer:

D

Step-by-step explanation:

To create the vectors using `seq()` and `rep()` in R:

(a) To create the vector `1;1:5;2;2:5;...;12`, we can use `seq()` and `rep()`. Here is the code:

```
vector_a <- c(1, rep(seq(1, 5), each = 2), seq(2, 5), 12)
```

- `seq(1, 5)` generates a sequence from 1 to 5.
- `rep(seq(1, 5), each = 2)` repeats each element of the sequence twice.
- `seq(2, 5)` generates a sequence from 2 to 5.
- `c()` combines all the elements into a vector.
- The resulting vector will be `1;1;2;2;3;3;4;4;5;5;2;3;4;5;12`.

The vector `1;1:5;2;2:5;...;12` can be created using `seq()` and `rep()` in R.

(b) To create the vector `1;8;27;64;...;1000`, we can use `seq()` and exponentiation (`^`). Here is the code:

```
vector_b <- seq(1, 1000) ^ 3
```
- `seq(1, 1000)` generates a sequence from 1 to 1000.
- `^ 3` raises each element of the sequence to the power of 3.
- The resulting vector will be `1;8;27;64;...;1000`, as each number is cubed.

The vector `1;8;27;64;...;1000` can be created using `seq()` and exponentiation (`^`) in R.

To know more about   vectors visit

https://brainly.com/question/29740341

#SPJ11

If Slugger has gone to bat 3–6 times so far this season, he has had 24 hits so far this season.

Use the information given about Slugger's batting average. It is stated that he gets a hit 2 out of every 3 times he goes to bat. This means that his batting average is 0.666 or 66.6%.

Now, if we know that Slugger has gone to bat 36 times so far this season, we can use his batting average to calculate the number of hits he has had. To do this, we can use the following formula:

Number of hits = Batting average x Number of times at bat

Plugging in the numbers we have:

Number of hits = 0.666 x 36

Number of hits = 23.976

Since we can't have a partial hit, we need to round this number to the nearest whole number. Therefore, Slugger has had 24 hits so far this season.

It's important to note that Slugger's batting average is calculated based on the number of official at-bats he has. Official at-bats exclude walks, sacrifices, and other situations where Slugger doesn't actually take a swing at the ball. So, if Slugger had any non-official at-bats, we would need to exclude those from our calculation of his batting average and the number of hits he has had.

To learn more about average  click here

brainly.com/question/24057012

#SPJ11

Answer:

the ans is 6.4

Step-by-step explanation:

using the distance formula

d^2= (x2-x1)^2 + (y2-y1)^2

d^2= (8-4)^2 + (8-3)^2

d^2= (4)^2 + (5)^2

d^2= 16+ 25

d^2= 41

d= sqrt of 41*

d= 6.4units

Jeff needs to start watering at 8:57 a.m. to be ready to leave for swim practice at 9:50 a.m.

Let's start by calculating the total watering time as follows -

5 locations * 25 minutes each = 125 minutes of watering time

4 locations * 2 minutes each for changing the sprinkler = 8 minutes for changing the sprinkler.

Hence, total time = 125 minutes + 8 minutes = 133 minutes

So, Jeff needs 133 minutes for watering the garden. The latest time he should start is 9:50 a.m. - 133 minutes = 9:50 a.m. - 2 hrs 13 minutes = 8:57 a.m.

Therefore, Jeff needs to start watering around 8:57 a.m. to be ready to leave for swim practice at 9:50 a.m.

Read more about time:

brainly.com/question/29578742

#SPJ4

Answer:

It will be the same measure as angle D in the original triangle.

Step-by-step explanation:

Answer:

he works 17.6 hours

Step-by-step explanation:

Answer:

he gets 1760$ a month

Step-by-step explanation:

176 multiplied by 10

:)

Answer:

\(\huge\boxed{f = 5\ Hz}\)

Step-by-step explanation:

Given:

Time period = T = 0.2 sec

Required:

Frequency = f = ?

Formula:

f = 1/T

Solution:

f = 1/0.2

f = 5 Hertz

Answer:

\( \boxed{\sf Frequency \ (f) \ of \ the \ wave = 5 \ Hz} \)

Given:

Time Period (T) = 0.2 s

To Find:

Frequency (f) of the wave

Step-by-step explanation:

\( \sf Frequency (f) = \frac{1}{Time Period (T)} \)

\( \sf f = \frac{1}{0.2} \)

\( \sf f = \frac{1}{0.2} \times \frac{10}{10} \)

\( \sf f = \frac{10}{2} \)

\( \sf f = \frac{ \cancel{2} \times 5}{ \cancel{2}} \)

\( \sf f = 5 \: Hz\)

Answer:

135 grams of Zinc

Step-by-step explanation:

zinc:copper

3:14

3/14=x/630

x=135

The hot air balloon is flying at a height of approximately 949 meters.

To find the height at which the hot air balloon is flying, we can use trigonometry.

Let's denote the height of the hot air balloon as 'h'.

From the information given, we know that the angle of depression is 27 degrees and the bearing of the house is 210 degrees.

Using trigonometry, we can say that tan(27) = h/x, where x is the horizontal distance from the balloon to the house.

Similarly, after the balloon flies 1450m eastward, the bearing of the house becomes 245 degrees.

Using the same logic, tan(27) = h/(x + 1450).

By equating these two equations, we can solve for 'h'.

So, tan(27) = h/x = h/(x + 1450).

We can solve this equation to find 'h'.

By substituting the values of tan(27) and solving the equation, we find that the hot air balloon is flying at a height of approximately 949 meters.

Know more about trigonometry here,

https://brainly.com/question/12068045

#SPJ11