Proof the following conclusion Note that when n = 0, the osculating polynomial approximating f is the m_0th Taylor polynomial for f at x_o. When m_i = 0 for each i, the osculating polynomial is the nth Lagrange polynomial interpolating f on x_0, x_1,...,x_n

Answer:

4p + 5c = p

4p - 4p + 5c = p-4p

5c = -3p

5c/5 = -3p/5

c = -3p/5

hope that will help you

The icing costs $7.50 every 6 feet

To calculate how much will 25 feet of icing cost, you can use cross multiplication

6feet_____$7.50

25feet____$x

25 feet of icing costs $31.25

Answer:

x = 63.4

Step-by-step explanation:

Here, we want to find the value of x

To do this , we use the appropriate trigonometric ratio

The side facing x is 12, this is called the opposite

6 is the third side and it is called the adjacent

The trigonometric identity that links both is tan

Tan is the ratio of the opposite to the adjacent

Thus,

tan x = 12/6

tan x = 2

x = tan^-1 (2)

x = 63.4

Answer:

This is FALSE.  Choose Option 2

Step-by-step explanation:

Substituting 7 for x, we get

7 + 9(7) > 73, or 70  73.  This is FALSE.  Choose Option 2

Answer

Explanation

The equation in slope-intercept form is:

where m is the slope and b is the y-intercept.

Additionally, the slope m can be calculated using the change between two points as it is a line and will be the same in all points:

Considering the two points given, we can assume that point one is (-2, -5) and point two is (-5, -8). Replacing these values we get:

Simplifying:

Then, replacing the slope calculated in the equation we get:

Next, we have to choose one of the given points to replace in the equation and solve for b. For example, choosing (-2,-5):

Finally, our equation is:

Answer:

NO no no non

Step-by-step explanation:

IHOPE THIS CORELRECT ANSWER

∅ and {∅} are the same set is false because ∅ is the empty set, meaning it contains no elements. {∅}, on the other hand, is a set containing one element, which is the empty set ∅.

To further illustrate this point, consider the following example:

Let A = ∅ and B = {∅}. Then, the cardinality of A, denoted by |A|, is 0, since there are no elements in the set.

The cardinality of B, denoted by |B|, is 1, since there is one element in the set (the empty set ∅).

Therefore, |A| ≠ |B|, which means that A ≠ B, or ∅ ≠ {∅}.

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Answer:

The answer will be no gallons

Step-by-step explanation:

If you look at the graph you will notice that for the bucket to have a single gallon it will take around 2.50 seconds.

At 1 second the bucket will have around half a gallon.

I hope I could help if you need some more assistance feel free to ask!

Answer:

1.833 x 10^(-5)

Step-by-step explanation:

When dividing in S.N., divide the coefficients and subtract the exponents

1.67 ÷ 9.11 = 0.183

10^(-7) ÷10^(-3) = 10^(-4)

1.833 x 10^(-5)

\(\tt(1.67 \times 10 ^ { -7 } ) \div (9.11 \times 10 ^ { -3 } )\)
To divide exponents with the same base, we must subtract the exponents from the numerator & the denominator.
\(\tt\frac{1.67}{9.11\times 10^{4}} \)
\(\tt\frac{1.67}{9.11\times 10000} \)
\(\tt\frac{1.67}{91100} \)
\(\boxed{\tt\frac{167}{9110000}\approx 0.000018332}\)

So, 0.000018332 =  1.8832×10^(−5)

Hope it helps ⚜

Answer:

1.4071

Step-by-step explanation:

The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:

\(M_{day}(t)=3.5(1.05)^t\)

This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.

Since the mass of the sunfish increases by \(1.05^t\), therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of \(1.05^{7} = 1.4071\)

a) The steady-state level of capital-labor ratio is 0.1833 and output per worker is 0.55.

b) The steady-state consumption per worker is 0.33.

c) To increase the consumption per worker to the golden-rule level, the government can implement policies to increase the capital-labor ratio (k) to the golden-rule level (kG = 46.49).

d) The steady-state capital-labor ratio is 0.1333, output per worker is 0.4, and consumption per worker is 0.18.

a. To calculate the steady-state level of capital-labor ratio and output per worker, we can use the Solow model equations.

Steady-state capital-labor ratio (k):

In the steady state, investment equals saving, so we have:

sY = (d + n)k

0.40 * 3k = (0.15 + 0.07)k

1.2k = 0.22k

k = 0.22 / 1.2

k = 0.1833

Steady-state output per worker (y):

Using the production function, we have:

y = 3k

y = 3 * 0.1833

y = 0.55

Therefore, the steady-state level of capital-labor ratio is 0.1833 and output per worker is 0.55.

b. Steady-state consumption per worker:

In the steady state, consumption per worker (c) is given by:

c = (1 - s)y

c = (1 - 0.40) * 0.55

c = 0.60 * 0.55

c = 0.33

The steady-state consumption per worker is 0.33.

c. To increase the consumption per worker to the golden-rule level, the government can implement policies to increase the capital-labor ratio (k) to the golden-rule level (kG = 46.49). This can be achieved through measures such as promoting investment, technological progress, or increasing the saving rate.

d. If the saving rate increases to 55%, we can calculate the new steady-state levels of capital-labor ratio, output per worker, and consumption per worker.

Steady-state capital-labor ratio (k'):

0.55 * 3k' = (0.15 + 0.07)k'

1.65k' = 0.22k'

k' = 0.22 / 1.65

k' = 0.1333

Steady-state output per worker (y'):

y' = 3k'

y' = 3 * 0.1333

y' = 0.4

Steady-state consumption per worker (c'):

c' = (1 - 0.55) * 0.4

c' = 0.45 * 0.4

c' = 0.18

In this case, the steady-state capital-labor ratio is 0.1333, output per worker is 0.4, and consumption per worker is 0.18.

Regarding government policy, the saving rate increase in this scenario would lead to lower consumption per worker compared to the golden-rule level. Therefore, the government policy in this case would be different from that in (c), where they aim to achieve the golden-rule level of consumption per worker.

e. The difference in the levels of variables in (a), (b), and (d) can be explained as follows:

In (a), we have the initial steady-state levels where the saving rate is 40%. The economy reaches a balanced state with a capital-labor ratio of 0.1833 and output per worker of 0.55.

In (b), the steady-state consumption per worker is calculated based on the initial steady-state levels. It is determined by the saving rate and output per worker, resulting in a consumption per worker of 0.33.

In (d), when the saving rate increases to 55%, the economy adjusts to a new steady state. The higher saving rate leads to a lower consumption rate, resulting in a new steady-state capital-labor ratio of 0.1333, output per worker of 0.4, and consumption per worker of 0.18.

The difference in the levels of variables is driven by changes in the saving rate, which affects investment and capital accumulation. Higher saving rates lead to higher investment, which increases the capital-labor ratio and output per worker. However, it also reduces consumption per worker, as more resources are allocated to investment. The government policy to achieve the golden-rule level of consumption per worker would involve finding the optimal saving rate that maximizes long-term welfare, considering the trade-off between investment and consumption.

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Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

Answer:

0.96

Step-by-step explanation:

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

y = -x - 1

Step-by-step explanation:

soo since we already know the slope we can subsitute it to the slope form equation

y = mx + b

y = -x + b

now to find the y intercept we have to subsitute the given point

-3 = -(2) + b

-3 = -2 + b

b = -1

Answer:

y = -x - 1

Step-by-step explanation:

Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).

Why? It has a slope of 2, and our answer wants a line with a slope of -1.

y = mx + b

To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).

(2, -3)

y = -x - 1

-3 = -2 - 1

-3 = -3

This statement is true

(2, -3)

y = -x - 3

-3 = -2 - 3

-3 = -5

This statement is false

(2, -3)

y = -x + 2

-3 = -2 + 2

-3 = 0

This statement is false

Therefore, the correct answer is a) y = -x - 1

*View the graph to verity the answer*

Hope this helps!

Answer:

\(z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx\)

Hence, Option 'C' is true.

Step-by-step explanation:

Given the expression

\(z\left(-6.4\:-3.5x\right)\)

Apply distributive law:   \(a\left(b-c\right)=ab-ac\)

Here:  \(a=z,\:b=-6.4,\:c=3.5x\)

so the expression becomes

\(z\left(-6.4\:-3.5x\right)=z\left(-6.4\right)-z\cdot \:\:3.5x\)

                         \(=-6.4z-3.5zx\)                 ∵  \(+\left(-a\right)=-a\)

Therefore,

\(z\left(-6.4\:-3.5x\right)=-6.4z-3.5zx\)

Hence, option 'C' is true.

We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

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Answer:

t=9.48n+119.88

Step-by-step explanation:

where t is the total cost of 12 t-shirts, and n is the number of words in the design

0.75n+9.99 is the equation for custom made t-shirts, and n represents the number of words in the design

t=12(0.75n+9.99)

where t is the total cost of t-shirts, and n is the number of words in the design

When simplified, this becomes t=9.48n+119.88

can i get brainliest please?

Answer:

it would be 90, if you add 60 and 30 together you get 90! :')

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The probability of randomly selecting an umbrella and a shaving kit in that order, given the available gifts, is 1/20.

To determine the probability of randomly selecting an umbrella and a shaving kit in that order, we need to consider the total number of possible gift combinations and the number of favorable outcomes.

Given the available gifts: umbrella, 1-ounce bottle of Midnight, feminine shaving kit, raincoat, and pair of rain boots, there are a total of 5 options.

Since Giorgio offers two free gifts, we need to calculate the probability of selecting an umbrella first and then a shaving kit.

The probability of selecting an umbrella is 1 out of 5, as there is only 1 umbrella available.

After selecting the umbrella, there will be 4 remaining options, and the probability of selecting a shaving kit is 1 out of 4, as there is only 1 shaving kit available.

To find the probability of both events occurring in sequence, we multiply the individual probabilities together:

(1/5) * (1/4) = 1/20

Therefore, the probability of randomly selecting an umbrella and a shaving kit in that order, given the available gifts, is 1/20.

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Answer:

y = 5x

Step-by-step explanation:

Number of Hours, x Number of Deliveries, y

3 15

5 25

8 40

9 45

In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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Answer:

A sphere has the same shape as a ball so yes.

Answer:

Shown below.

Step-by-step explanation:

Test Marks          Tally          Frequency          Percentage

1                                                    8                   8/60 = 0.133

2                                                   6                   6/60 = 0.100

3                                                   5                   5/60 = 0.083

4                                                   5                   5/60 = 0.083

5                                                   5                   5/60 = 0.083

6                                                   8                   8/60 = 0.133

7                                                   6                   6/60 = 0.100

8                                                   7                   7/60 = 0.116

9                                                   4                   4/60 = 0.066

10                                                 5                   5/60 = 0.083

Total                                            59                 59/60 = 0.983

For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.

Answer:

True it's  just sometimes people don't use there gifts from God like if they have great ability but sometimes people who  don't have good enough abilitys to become someone for example like you said a athlete but they work for it a lot and they become one it depends on the person well that's what I think

Step-by-step explanation:

After solving the question by Pythagorean theorem we have: OM = PR(cos(ß) - sin(ß)) = cos(a + ß)(cos(ß) - sin(ß)) as the expression for the length of segment OM.

You may determine the right angled triangle's missing length using Pythagoras' Theorem. The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse. Pythagoras' formula is: \(a^{2} + b^{2} = c^{2}\)

There seems to be a typo in the question, as "segment ON =" is not followed by an expression or value. However, I will provide an explanation based on the given information.

We start with the point (1,0) on the unit circle and rotate it counterclockwise by an angle of a + ß. This brings us to the point P on the circle, which has coordinates (cos(a + ß), sin(a + ß)).

Next, we draw a perpendicular segment PN from point P to the line ON, where O is the origin (0,0) and N is the foot of the perpendicular from P to ON. We also draw another perpendicular segment PR from point P to the x-axis.

From the right triangle ONP, we see that ON = sin(a + ß) (since sin is the y-coordinate of a point on the unit circle) and NP = cos(a + ß) - 1 (since the x-coordinate of P is cos(a + ß) and we started with the point (1,0)).

Using the Pythagorean theorem, we have:

\(OM^2 + NP^2 = ON^2\)

where OM is the segment from point O to the foot of the perpendicular from P to the x-axis (which we called R). Since OR is perpendicular to PR, we have OR = PR cos(90 - ß) = PR sin(ß), and since OP is perpendicular to PR, we have OP = PR cos(ß).

Thus, OM = OP - OR = PR cos(ß) - PR sin(ß) = PR(cos(ß) - sin(ß)).

Substituting this into the Pythagorean theorem equation, we have:

(PR(cos(ß) - sin(ß))) + (cos(a + ß) - 1) = sin(a + ß)

This is the expression for the length of segment OM.

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The answer choice which correctly represents a scenario modelled by the given equation as required is; A pair of boots is on sale for 65 percent of the original cost. The original price of the boots is x, $56.12.

As evident in the task content; the given equation is; (x) (0.65) = 36 dollars and 48 cents which can be written algebraically as;

0.65x = 36.48

x = 36.48 / 0.65

x = $56.12.

On this note, by observation; it follows that 0.65 is equivalent to 65% and hence, it can be inferred that;

The original price of the boots is; x which is equal to $56.12 and whose 65% equivalent is; $36.48.

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Answer:

c on edge

Step-by-step explanation:

i hate edge