429.72 liters to centiliters
​

Answer:

No, doubling the height will just double the volume.

Step-by-step explanation:

It doubles the volume. Volume of a cylinder: volume= \pi *radius squared * height.

Answer:

No, it does not have the same effect. Doubling the height of a cylinder doubles the volume, while doubling the radius generates a volume 4 times greater.

Step-by-step explanation:

:)

Step-by-step explanation:

the correct one is b - 9 since sum of all angles of a triangle is 180

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

r=6 and 9 × 6

the equation is basically telling us what 54 ÷ 9 is and the answer is r = 6

Answer:

54 × 9 I guesssssssss

Step-by-step explanation:

54÷r=9

it is the same things as

r/54=9

then cross multiply

then, r=54×9

r= 486

Answer:

Triangle FHL

Step-by-step explanation:

The correct function to approximate the number of bees in the hive after x years is,

⇒ y (x) = 8928.57 (1.12)ˣ

Since, We have to given that;

Ellie is the agricultural manager of Apple a Day Orchards.

And, boost pollination, she puts a beehive with about 10,000 bees on the property.

Since, She expects the bee population to increase by 12% each year.

Hence, We can formulate;

the number of bees in the hive after x years is,

⇒ y (x) = 10,000 (1 + 0.12)ˣ⁻¹

⇒ y (x) = 10,000 (1.12)ˣ⁻¹

⇒ y (x) = 10,000 (1.12)ˣ / 1.12

⇒ y (x) = 8928.57 (1.12)ˣ

Thus, The correct function to approximate the number of bees in the hive after x years is,

⇒ y (x) = 8928.57 (1.12)ˣ

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

D.

Domain: 0 ≤ x ≤ 16

The domain represents the set of all possible inputs - the times when price was measured.

Answer:

4m=4+m

4m-m=4

3m=4

m=4/3

hope this helps:)))

Answer:

88

Step-by-step explanation:

The distance traveled by a rider on a Ferris wheel can be calculated by finding the circumference of the wheel and then multiplying it by the number of complete laps.

The formula for the circumference of a circle is:

C = πd

where C is the circumference, d is the diameter, and π is a constant approximately equal to 3.14.

In this case, the diameter of the Ferris wheel is 14 meters, so the radius (half the diameter) is 7 meters.

C = πd = π(14) = 43.9823 meters (rounded to 4 decimal places)

To find the distance traveled after 2 complete laps, we need to multiply the circumference by 2:

distance = 2C = 2(43.9823) = 87.9646 meters

Rounding to the nearest meter, the distance traveled by a rider after 2 complete laps is 88 meters.

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

for similar questions on  ingredients.

https://brainly.com/question/1578467

#SPJ8

Answer:

y=2x+1

Step-by-step explanation:

change -2x to 2x

The correct expression is  \($(150 \cdot 1.15)^7$\) (Choice A).

The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).

To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.

If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.

Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.

For such more questions on expression

https://brainly.com/question/1859113

#SPJ8

Answer:it’s the second one

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

I asked my brother and he said it was that one

Answer:

its true

Step-by-step explanation:

Answer:

Im sorry I don't quite understand but here's but I'm going by:

Step-by-step explanation:

4 blue tiles + 8 blue tiles, represents the sun 4+8. Which equals 12.

sorry if this doesn't help!

The ratio of the side length is,

The ratio of side smaller diamone to side of larger diamond is always remain constant. So,

So length of the larger diamond is 8 inches.

The mean is 6.6, the median is 5 and the mode is 4

The dataset is give as:

4, 4, 5, 8, 12

The mean is calculated as:

Mean = Sum/Count

So, we have:

Mean = (4 + 4 + 5 + 8 + 12)/5

Evaluate

Mean = 6.6

The median is the middle number.

Here, the middle number is 5

So, we have:

Median = 5

The mode is the number with the highest frequency

Here, 4 has the highest frequency

So, we have:

Mode = 4

Hence, the mean is 6.6, the median is 5 and the mode is 4

Read more about mean, median and mode at:

https://brainly.com/question/14532771

#SPJ1

The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

To learn more about the volume visit:

brainly.com/question/24372707

#SPJ1

The equivalenet expression is 54\(n^{-11}\)

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.

Starting with:

(\(6n^-5\))(\(3n^-3\))²

We can simplify as follows:

(\(6n^-5\))(\(9n^-6\))

Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.

Therefore:

6 x 9 = 54

\(n^-5 * n^-6 = n^-11\)

So the simplified expression is:

\(54n^-11\)

Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)

To know more about exponent visit:

https://brainly.com/question/5497425

#SPJ1

The expression that is equal to (6n-5)(3n-3) option D, 54n11.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:

(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)

                 = 18n² - 18n - 15n + 15

                 = 18n² - 33n + 15

Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.

So, the answer is option D, 54n11.

To know more about expression visit:

https://brainly.com/question/18189573

#SPJ1

The domain of the function f(x) = 6.5x will be a positive real number.

The domain means all the possible values of x and the range means all the possible values of y.

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x) = 6.5x, where x is the time in hours the jogger runs.

We know that time is a scalar quantity. Then the value of the time is always greater than equal to zero.

x ≥ 0

The domain of the function f(x) = 6.5x will be a positive real number.

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

Answer:

28

Step-by-step explanation:

C or B's so 30% + 40% = 70% so:

70/100 multiplied by 40 because 40 students

7/10 times 40 = 28

Answer:

What do you want us to answer here?

Step-by-step explanation:

???

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

Learn more about angles at:

https://brainly.com/question/25716982

#SPJ1

Answer:

A) Median

Step-by-step explanation:

A median joins the midpoint of a side and the opposite vertex.

Answer/Step-by-step explanation:

Part A: In the table given above, every input value has exactly one output value. No input value gives two different output value. Therefore, the data in the table represents a function.

Part B: in the table given, when x = 4, y = 9. That is, f(4) = 9.

Given the relation f(x) = 2x - 8, to find what value it would give us, when x = 4, substitute x = 4 into the relation.

f(4) = 2(4) - 8 = 8 - 8

f(4) = 0

Therefore, the relation in the table has a greater value when x = 4.

Part C: using, f(x) = 2x - 8, when f(x) = 34, value of x would be calculated as shown below:

34 = 2x - 8

Add 8 to both sides

34 + 8 = 2x

42 = 2x

Divide both sides by 2

42/2 = x

21 = x

x = 21

Stokes' theorem relates the surface integral of the curl of \(\vec F\) across \(S\) to the line integral of \(\vec F\) along the boundary of \(S\).

The boundary of \(S\) is a circle with radius 7 centered at the origin in the \(x,y\)-plane. Parameterize this path by

\(\vec r(t) = 7\cos(t)\,\vec\imath + 7\sin(t)\,\vec\jmath\)

with \(0\le t\le2\pi\). Observe that \(z=0\), so \(\cos(z) = 1\) and the \(\vec\jmath\)-component of \(\vec F\) contributes nothing. The double integral then reduces to

\(\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec S = \int_0^{2\pi} \vec F(\vec r(t)) \cdot \frac{d\vec r}{dt} \, dt \\\\ ~~~~~~~~ = \int_0^{2\pi} \left(e^{49\cos(t)\sin(t)}\,\vec\imath + 49\cos(t)\sin(t)\,\vec\jmath\right) \cdot \left(-7\sin(t)\,\vec\imath + 7\cos(t)\,\vec\jmath\right) \, dt \\\\ ~~~~~~~~ = -7 \int_0^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt\)

Observe that by substituting \(t=u+\pi\), we have

\(\sin(t) = \sin(u+\pi) = \sin(u)\cos(\pi) + \cos(u)\sin(\pi) = -\sin(u)\)

so that the integral over \([\pi,2\pi]\) can be expressed in terms of the integral over \([0,\pi]\) as

\(\displaystyle \int_\pi^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt = \int_0^\pi -e^{49\cos(t)\sin(t)} \sin(t) \, dt\)

Then the integrals over \([0,\pi]\) and \([\pi,2\pi]\) cancel each other and integral of the curl of \(\vec F\) is

\(\displaystyle -7 \int_0^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt = -7 \int_0^\pi 0 \, dt = \boxed{0}\)

=================================================

Work Shown:

11 rock songs

229 total

11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).

If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%