i need help. ill mark brain to the first to answer.

I Need Help. Ill Mark Brain To The First To Answer.

Answers

Answer 1

Answer:

a and f

Step-by-step explanation:

1500 is double 750, which is the combined calories of lunch and breakfast, which is only 1 third.

Answer 2

Answer:

1st and 2nd options

Step-by-step explanation:

Daily total = (400+350)*3 = 2250

Dinner = 2250 * 2/3 = 1500

equation: 2/3*(x+400+350) = 2/3 * daily total = Dinner = x

I Need Help. Ill Mark Brain To The First To Answer.

Related Questions

2 Points

Chelsea saw an advertisement for a loan that offered 6 months, same as

cash. If she takes the loan, which of these scenarios is most likely to occur?

O

A. Chelsea won't be charged interest for the first 6 months of the

loan, but she will have to make payments for the first 6 months.

O

B. Chelsea will be charged interest for the first 6 months of the loan,

and she will also have to make payments for the first 6 months.

O

C. Chelsea will be charged interest for the first 6 months of the loan,

but she won't have to make payments for the first 6 months.

D. Chelsea won't be charged interest for the first 6 months of the

loan, nor will she have to make payments for the first 6 months.

Answers

Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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The slope of EF¯¯¯¯¯ is −52.

Which segments are perpendicular to EF¯¯¯¯¯?

Select each correct answer.


NP¯¯¯¯¯¯, where N is at (−3, 4) and P is at (−8, 2)

GH¯¯¯¯¯¯, where G is at (6, 7) and H is at (4, 12)

JK¯¯¯¯¯, where J is at (3, −2) and K is at (5, −7)

LM¯¯¯¯¯¯, where L is at (1, 9) and M is at (6, 11)

Answers

Based on the above, the segments that are perpendicular to EF are LM and NP.

Why is the segment are LM and NP perpendicular  to EF ?

Note that when two lines are perpendicular, we can say that;

M1 * M2 = -1 As M1 and M2 are known to be the slopes of the lines.

Therefore, when the the slope of EF is said to be −5/2, then  one can say that the slope of  the segment that is said to be  perpendicular to EF will have to be equal to m1*m2=-1, m2=-1/m1, m2=-1/(-5/2) or m2=2/5.

Scenario one:

JK , if J is at (3, −2) and K is at (5, −7)

To find the slope JK, then

m=(y2-y1)/x2-x1)

m=(-7+2)/(5-3)

m=-5/2

-5/2 is not equal to 2/5

Therefore,  JK is not perpendicular to EF

Scenario 2

Find GH , when G is at (6, 7) and H is at (4, 12)

To find the slope GH

m=(y2-y1)/x2-x1)

m=(12-7)/(4-6)

m=5/-2

m=-5/2

Since -5/2 is not equal to 2/5 then GH is not perpendicular to EF

Scenario 3:

Find LM , If L is at (1, 9) and M is at (6, 11)

To find the slope LM, then

m=(y2-y1)/x2-x1)

m=(11-9)/(6-1)

m=2/5

Since 2/5 is equal to 2/5

Then LM is perpendicular to EF

Scenario 4:

Find NP , if N is at (−3, 4) and P is at (−8, 2)

To find the slope NP, then

m=(y2-y1)/x2-x1)

m=(2-4)/(-8+3)

m=-2/-5

m=2/5

Since 2/5 is equal to 2/5.

Therefore,  NP is perpendicular to EF

Based on the above calculations, the segments that are perpendicular to EF are LM and NP.

See correct format of question written below

The slope of EF is −5/2 .

Which segments are perpendicular to EF?

Select all the right answers please

1. JK , where J is at (3, −2) and K is at (5, −7)

2. GH , where G is at (6, 7) and H is at (4, 12)

3. LM , where L is at (1, 9) and M is at (6, 11)

4. NP , where N is at (−3, 4) and P is at (−8, 2)

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in the figure, which line best illustrates the growth of a facultative anaerobe incubated aerobically?

Answers

The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.

Cells are the basic unit of life, and they carry out a variety of functions within an organism.

When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).

This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.

The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.

One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.

Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.

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in the figure, which line best illustrates the growth of a facultative anaerobe incubated aerobically?

The cone to the right has a height of 11 in. and a volume of
103.62 in. Find the radius of the base.

Answers

Answer:

2.99924 in

Step-by-step explanation:

Volume of a cone

V = pi x r^2 x h/3

So to solve this problem you plug in the number we already have which is the volume and the height

103.62 = pi x r^2 x 11/3

28.26 = pi x r^2

28.26/pi = r^2

\(\sqrt{\frac{28.26}{\pi } }\) = r ≈ 2.99924

18
Select the correct answer.
Exponential function fis represented by the table.
X
f(x)
=
-2
-46
OA
O B.
OC.
O D.
-1
-22
0
-10
1
-4
Function g is represented by the equation.
g(x)
- 18(3)² + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
2
-1
ہے
Only function fis increasing, and only function fis negative.
Only function fis increasing, but both functions are negative.
Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function fincreases at a faster average rate.

Answers

A statement which correctly compares the two functions on the given interval [-1, 2] is: C. Both functions are increasing, but function g increases at a faster average rate.

How to compares the two functions?

First of all, we would determine the values of function g(x) on the given interval [-1, 2] as follows:

g(x) = -18(⅓)^x + 2

At x = -1, we have:

g(-1) = -18(⅓)^(-1) + 2

g(-1) = -52.

At x = 0, we have:

g(0) = -18(⅓)^(0) + 2

g(0) = -16.

At x = 1, we have:

g(1) = -18(⅓)^(1) + 2

g(1) = -4.

At x = 2, we have:

g(2) = -18(⅓)^(0) + 2

g(2) = 0.

By critically observing the values of each functions, we can logically deduce that both functions are increasing but function g(x) increases at a faster average rate because it started with a lower value and ended with a higher value.

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18Select the correct answer.Exponential function fis represented by the table.Xf(x)=-2-46OAO B.OC.O D.-1-220-101-4Function

what is the answer?
3⁰+3¹+3²+...+3⁴⁰=?​

Answers

Answer:

= 1.21577e19

Step-by-step explanation:

I used a calculator that should tell you. :))

For the following problems, choose only one answer. Please circle your answer. You may show your work on the back side of this sheet. 1. Find the largest possible area for a rectangle with its base on

Answers

A rectangle with a given base and height, its area is given by A = base x height. For a rectangle with a given perimeter, the maximum area is obtained when it is a square, i.e., all sides are equal.

The area of the rectangle is given by A = base x height. If one of the dimensions is fixed, the area is maximized when the other is maximized. In this case, the base is fixed and the area is to be maximized by finding the height that maximizes the area. For that, let the base of the rectangle be 'b', and its height be 'h'. Then the perimeter of the rectangle is given by 2b + 2h. As the base is fixed, we can write the perimeter in terms of height as 2b + 2h = P. Solving for h, we get h = (P - 2b)/2. Substituting the value of h in the area equation, we get A = b(P - 2b)/2. This is a quadratic equation in b, which can be solved by completing the square or differentiating. By differentiating the area equation with respect to b, and equating it to zero, we get b = P/4. Therefore, the largest area of the rectangle is obtained when it is a square, i.e., all sides are equal.

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How many triangles can be formed

How many triangles can be formed

Answers

Answer:

2

Step-by-step explanation:

2

Find the surface area of the cylinder with a height of 4 and a radius of 9

Answers

Answer:

735.13268 units^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·9·4+2·π·92≈735.13268

Let F = ∇f, where f(x, y) = sin(x − 7y). Find curves C1 and C2 that are not closed and satisfy the equation.
a) C1 F · dr = 0, 0 ≤ t ≤ 1
C1: r(t) = ?
b) C2 F · dr = 1 , 0 ≤ t ≤ 1
C2: r(t) = ?

Answers

a. One possible curve C1 is a line segment from (0,0) to (π/2,0), given by r(t) = <t, 0>, 0 ≤ t ≤ π/2. One possible curve C2 is the line segment from (0,0) to (0,-14π), given by r(t) = <0, -14πt>, 0 ≤ t ≤ 1.

a) We have F = ∇f = <∂f/∂x, ∂f/∂y>.

So, F(x, y) = <cos(x-7y), -7cos(x-7y)>.

To find a curve C1 such that F · dr = 0, we need to solve the line integral:

∫C1 F · dr = 0

Using Green's Theorem, we have:

∫C1 F · dr = ∬R (∂Q/∂x - ∂P/∂y) dA

where P = cos(x-7y) and Q = -7cos(x-7y).

Taking partial derivatives:

∂Q/∂x = -7sin(x-7y) and ∂P/∂y = 7sin(x-7y)

So,

∫C1 F · dr = ∬R (-7sin(x-7y) - 7sin(x-7y)) dA = 0

This means that the curve C1 can be any curve that starts and ends at the same point, since the integral of F · dr over a closed curve is always zero.

One possible curve C1 is a line segment from (0,0) to (π/2,0), given by:

r(t) = <t, 0>, 0 ≤ t ≤ π/2.

b) To find a curve C2 such that F · dr = 1, we need to solve the line integral:

∫C2 F · dr = 1

Using Green's Theorem as before, we have:

∫C2 F · dr = ∬R (-7sin(x-7y) - 7sin(x-7y)) dA = -14π

So,

∫C2 F · dr = -14π

This means that the curve C2 must have a line integral of -14π. One possible curve C2 is the line segment from (0,0) to (0,-14π), given by:

r(t) = <0, -14πt>, 0 ≤ t ≤ 1.

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Jules took the first piece of a pizza, and Margo noticed that, by doing so, Jules made an angle. Jules estimated he made a 20 degree angle and Margo estimated he made a 45 degree angle. Who is right? How did you determine your answer?

Answers

Margo is right; Jules made a 45 degree angle.

How can we determine who is right about the angle measurement?

To determine who is right about the angle made by Jules while taking the first piece of pizza, we need to compare their estimates of 20 degrees and 45 degrees.

Since angles are measured using a protractor or other measuring tools, we rely on accurate measurement techniques to determine their values. If both Jules and Margo used appropriate measuring tools and techniques, we would expect their measurements to be close.

However, a 20-degree angle is significantly smaller than a 45-degree angle. Therefore, based on the provided information, Margo's estimate of a 45-degree angle seems more reasonable and likely to be correct.

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$1,030 at 5% compounded semiannually for 2 years.
Do not put commas or dollar signs in your answer. Round to the nearest cent.
…. I need help

Answers

Answer:

1,678

Step-by-step explanation:

1030(1.05)^10 = 1677.76

Andre wrote the expression −5+4x÷3 to represent the relationship shown in the table. Find two other expressions that also represent the relationship shown in the table.


Select all that apply.
A.
5+​(−4x÷3​)
B.
4x−5
3
C.
3÷​(−5​)+4x
D.
4
3x−5
E.
​(−5+4​)+x÷3
F.
4x÷3+​(−5​)

Andre wrote the expression 5+4x3 to represent the relationship shown in the table. Find two other expressions

Answers

Answer:

y=mx+b

Step-by-step explanation:

A) Find a formula for Rn for the function f(x)=(2x)^2 on [−1,5][−1,5] in terms of n.B) Compute the area under the graph as a limit.

Answers

a. Rn = (6 / n) * [4(1 - 1/n)² + 4(1 + 1/n)² + ... + 4(5 - 3/n)²]

b. The exact area under the graph is 168.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

A) To find a formula for Rn, we can use the midpoint rule. The midpoint rule approximates the area under a curve by dividing the interval into n equal subintervals and taking the height of the rectangle as the value of the function at the midpoint of each subinterval.

Let's calculate Rn for the function f(x) = (2x)² on the interval [−1, 5] using n subintervals.

The width of each subinterval is given by:

Δx = (b - a) / n = (5 - (-1)) / n = 6 / n

The midpoint of each subinterval is given by:

xi = a + (i - 1/2)Δx

Using these values, we can calculate Rn:

Rn = Δx * [f(x1) + f(x2) + ... + f(xn)]

   = (6 / n) * [(2(-1 + 1/2 * (6/n))²) + (2(-1 + 3/2 * (6/n))²) + ... + (2(5 - 1/2 * (6/n))²)]

Simplifying further:

Rn = (6 / n) * [4(1 - 1/n)² + 4(1 + 1/n)² + ... + 4(5 - 3/n)²]

B) To compute the area under the graph as a limit, we take the limit of Rn as n approaches infinity. This is equivalent to integrating the function over the interval [−1, 5].

To find the exact area under the graph of f(x) = (2x)² on [−1, 5], we integrate the function:

∫[−1, 5] (2x)² dx

Evaluating the integral:

∫[−1, 5] (2x)² dx = ∫[−1, 5] 4x² dx = [4/3 * x] from -1 to 5

                                  = (4/3 * 5³) - (4/3 * (-1)^3)

                                  = (4/3 * 125) - (4/3 * (-1))

                                  = (500/3) + (4/3)

                                  = 504/3

                                  = 168

Therefore, the exact area under the graph is 168.

As n approaches infinity, the value of Rn will approach the exact area of 168.

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data from central hudson labs determined the mean number of insect fragments in 225-gram chocolate bars was 14.4, but three brands had insect contamination more than twice the average. assume the number of fragments (contaminants) follows a poisson distribution. (a) if you consume a 225-gram bar from a brand at the mean contamination level, what is the probability of no insect contaminants?

Answers

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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Is 60 a solution to 5=W/6+4

Answers

If W = 60,

60 / 6 + 4 = 14

14 is not equal to 5

so 60 is not a solution

For the linear regression y = ẞ1 + ẞ2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 +681 +382 + 18ẞ1ẞ2
Derive the partial derivatives of SSE with respect to B1 and B2 and solve the optimal values of these parameters.
a. B₁ = B1
b. B₂ =

Answers

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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find the percent of the number
105% of 400​

Answers

Answer:

105% of 400 is 420, the percent is 42000%

Step-by-step explanation:

heyy! i’ll give brainliest please help

heyy! ill give brainliest please help

Answers

Answer:

The last one

Step-by-step explanation:

The more weight something has the faster it will fall

if there are 5 finalists at a singing competition, in how many ways can they be ordered, if they each take turns singing?

Answers

If there are 5 finalists at a singing competition, in 120 ways they can be ordered, if they each take turns singing by applying basic counting principles.

There are 5 finalists at a singing competition and each of them takes turns singing.

We can calculate the number of ways the 5 finalists can take up turn by applying basic counting principles.

Therefore, they can be ordered in n factorial ways, that is n !, where n is the number of finalists who take turns to sing.

Thus, number of ways the finalists can be ordered is = 5!

= 5*4*3*2*1 ( ways )

= 120 ways

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What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8

What are the zeros of the function h (x) = x + 3x - 8?Ax = -8 and x = -2OBx= -8 and x = 2cx = -2 and

Answers

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Describe functions.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Amy now earns $9.50 per hour. This is 125% of
what she earned last year. What did she earn per
hour last year?

Answers

answer:


$9.50 = 125% * (last years hourly wage)

$9.50 = 1.25*X

9.50/1.25 = X

$7.60 = X

she earned $7.60 per hour last year!

Solve for

mm.
2
=

2

7
2=
2
m

−72, equals, start fraction, m, divided by, 2, end fraction, minus, 7

=
m=m, equals

Solve for mm.2=272= 2m 72, equals, start fraction, m, divided by, 2, end fraction, minus, 7=m=m, equals

Answers

The value of m for the given equation is 18. The solution has been obtained by solving the linear equation.

What is a linear equation?

A linear equation is the one with the highest degree of one. This demonstrates that there are no variables in a linear equation with an exponent bigger than one. On the graph, such an equation yields a straight line.

We are given an equation as 2 = m/2 - 7

On solving the equation for m, we get

⇒2 = m/2 - 7

⇒2 = (m - 14)/2

⇒2*2 = (m - 14)

⇒4 = m - 14

m = 18

Hence, the value of m for the given equation is 18.

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help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: Add 5 to x and y for each point.

Step-by-step explanation:

Add 5 to x and y for each point.

(-4,-1) becomes (1, 4), (-1,-4) becomes (4,1) . . . etc.

help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Find the sum of the measures of the interior angles of a convex dodecagon​

Answers

The sum of the measures of the interior angles of a convex dodecagon is 1800 degrees.

We have,

A convex dodecagon has 12 sides.

To find the sum of the measures of its interior angles, we can use the formula:

Sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides.

For a convex dodecagon (n = 12), the sum of the interior angles is:

Sum = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Therefore,

The sum of the measures of the interior angles of a convex dodecagon is 1800 degrees.

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A sweatshirt is marked down from $28 to $21. What is the percentage of change?

Answers

Answer:

-25.00% decrease, quite a deal

Answer:

25%

Step-by-step explanation:

$28 = 100%

$7 = 25%

$21 = 75%

so, therefore

% change = 100% - 75%

= 25%

MARK ME BRAINLIST

what is 1/3 + -7/4=?

Answers

Answer:

-17/12

Step-by-step explanation:

It’s simple math man

the greek letter used to represent the probability of a type i error is alpha (α). T/F?

Answers

True, the Greek letter used to represent the probability of a Type I error is alpha (α).

In hypothesis testing, a Type I error occurs when the null hypothesis is rejected even though it is true. The alpha level, also known as the significance level, is a pre-determined threshold that indicates the probability of making such an error. By setting an appropriate alpha level, researchers can control the risk of incorrectly rejecting the null hypothesis.

Typical alpha levels used in research are 0.05 or 0.01, indicating a 5% or 1% chance of making a Type I error, respectively. It is crucial to consider the consequences of Type I errors when choosing an alpha level, as it affects the overall reliability and validity of the study.

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a bag contains 150 marbels some of the marbles areblueand the rest of the marbles are white in the bag there a 21 blue marbles for every 4 marbles

how many of each color marbel blue and white are in the

bag ?

Answers

Answer:

126 blue marbles, 24 white marbles

Step-by-step explanation:

The ratio of blue marbles to white marbles is 21 to 4. From this, we have this equation:

\(21x + 4x = 150\)

\(25x = 150\)

\(x = 6\)

So we have 21 × 6 = 126 blue marbles and 4 × 6 = 24 blue marbles.

126/24 = 21/4

Find the Taylor polynomial T3(x) for the function f centered at the number a.
f(x) = x + e−x, a = 0
T3(x)=?

Answers

T3(x) = x - x^2/2 + x^3/6.

The Taylor polynomial of degree 3 for the function f(x) = x + e^-x centered at a = 0 is given by:

T3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3

= 1 + (-1 + 1)x + (e^-0 - (-1)(-1)e^-0)x^2/2! + (0 + (-1)(-1)(-1)e^-0)x^3/3!

= x - x^2/2 + x^3/6

So T3(x) = x - x^2/2 + x^3/6.

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics.

The nth Taylor polynomial of the function is a polynomial of degree n that is created by the partial sum of the first n + 1 terms of a Taylor series. Approximations of a function made by Taylor polynomials get generally better as n rises. Quantitative estimates of the mistake brought about by the use of such approximations are provided by Taylor's theorem. If a function's Taylor series is converging, its total is the upper bound of the Taylor polynomials' infinite sequence. A function's Taylor series sum may not match.

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