Can someone please help me with this, it’s super confusing and I can’t find help anywhere

An exponential model for the number of SMS messages sent annually for years before 2012 is [tex]y = 12421e^{0.2325x}[/tex].

In this scenario, the year would be plotted on the x-axis (x-coordinate) of the scatter plot while the SMS messages would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the year and SMS messages, an exponential equation for the line of best fit is given by

[tex]y = 12421e^{0.2325x}[/tex]

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The virus will thus increase from 160 to 600 in around 10 days.

A virus is a submicroscopic infectious agent that only reproduces inside of an organism's live cells.

We can resolve this issue using a proportion. Let x be the period of time needed for the virus to multiply from 160 to 600. Then: (240 - 160) / 18 = (600 - 160) / x

This equation may be written as

80/18 = 440/x.

Cross-multiplying:

80x = 18 * 440

80 divided by both sides yields x = 9.9

We obtain x = 10 by rounding to the next full value.

Therefore, The virus will thus increase from 160 to 600 in around 10 days.

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To find the final price Kyla will pay for the roller blades, we first need to calculate the amount of the discount.

So Kyla will get a discount of $33 off the original price of $110.

Next, we need to calculate the pre-tax price of the roller blades after the discount.

So the pre-tax price of the roller blades after the discount is $77.

Finally, we need to calculate the final price Kyla will pay, including the 5% tax.

The value of length y is,

y = 4 cm

And, The area of the shaded part is, 20 cm²

We have to given that;

A figure is shown in image.

Hence, We get;

The value of y is,

y = 4 cm

And, The area of the shaded part is,

⇒ 4 × 5

⇒ 20 cm²

Thus, The value of length y is,

y = 4 cm

And, The area of the shaded part is, 20 cm²

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4 things can be selected from a total of 9 without replacement in 126 times without replacement.

Combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of selection does not matter.

How to determine this

To calculate the combination without replacement

nCr = n!/r!(n-r)!

9C4= 9!/4!(9-4)!

= 9!/4!(5!)

= 9*8*7*6*5*4*3*2*1/4*3*2*1*5*4*3*2*1

= 362880/24*120

= 362880/2880

= 126

Therefore, it can be combined in 126 times

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1. The diagram below shows the net of a pyramid with all its labeled sides.

2. The surface area; S = L + B

3. The total surface area = 22.44 cm².

To calculate the total surface area, we use the formula to find Area = (1/2) x b x h.

After we've found the area, we say

Total surface area = 1/2 x 2.24 x (3 x 4) + (3)²

= 22.44 cm²

The above answers are based on the full questions below;

A pyramid with the sides of 2.24 cm and a height of 4 and the base of 3.

1. Draw a net for the pyramid. Label all sides with measurement?

2. Write an expression for the surface area of the pyramid and then find the total surface area

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The determinant of each of the given matrices are:

1) -4269

2) -1988

3) -68.92

The determinant of a matrix is a number that is specially defined only for square matrices. Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations.

Thus:

1) [tex]\left[\begin{array}{ccc}7&&31\\142&&19\\\end{array}\right][/tex]

The determinant of this 2 x 2 matrix is:

(7 * 19) - (142 * 31) = -4269

2) [tex]\left[\begin{array}{ccc}7&11&21\\55&8&2\\-16&1&-9\end{array}\right][/tex]

The determinant of this 3 x 3 matrix is:

7((8*-9) - (1*2)) + 11((55*-9) - (2*-6)) + 21((55*1) - (8*-16)) = -1988

3) [tex]\left[\begin{array}{ccc}5.07&6.02&2.01\\-30.7&2.5&3.5\\3.55&-1.1&2.35\end{array}\right][/tex]

The determinant of this 3 x 3 matrix is:

5.07[(2.5 * 2.35) - (-1.1 *  3.5)] + 6.02[(-30.7 * 2.35) - (3.5 * 3.55)] + 2.01[(-30.7 * -1.1) - (2.5 * 3.55)] = -68.92

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The number of the different outfits do David have to choose is 768.

Here we will use the concept of Combinations,

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

Different outfits do Damian have to choose, will be;

⇒ 8C₁×4C₁×8C₁×3C₁

⇒ 8×4×8×3

⇒ 768

Hence, the number of the different outfits do David have to select is 768.

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To show that Sk - ku is a martingale, we need to show that it satisfies the two properties of a martingale:

Sk - ku is integrable for all k.

For any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku.

First, we show that Sk - ku is integrable for all k:

E[|Sk - ku|] = E[|(X1 + ... + Xk) - k|]

= E[|X1 + ... + Xk| - k] (using linearity of expectation)

≤ E[|X1| + ... + |Xk|] + k (by triangle inequality)

= kE[|X1|] + ... + kE[|Xk|] + k (using linearity of expectation)

= kE[|X1|] + ... + kE[|X1|] + k (since Xi are IID)

= kE[|X1|] + k (since there are k terms)

< ∞ (since E[|X1|] is finite)

Therefore, Sk - ku is integrable for all k.

Next, we show that for any k, E[Sk+1 - ku+1 | E0,...,Ek] = Sk - ku:

E[Sk+1 - ku+1 | E0,...,Ek] = E[(X1 + ... + Xk+1) - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) + Xk+1 - (k+1) | E0,...,Ek]

= E[(X1 + ... + Xk) - k | E0,...,Ek] + E[Xk+1 | E0,...,Ek]

= Sk - ku + E[Xk+1] (by the martingale property of Sk - ku)

= Sk - ku + u (since the mean of X1, X2, ... is u)

Therefore, Sk - ku is a martingale.

Now, we can use the optional stopping theorem to prove that E[ST] = uE[T]:

By the optional stopping theorem, we have:

E[ST] = E[(Sk - ku)(T - k) + Sku]

= E[(Sk - ku)(T - k)] + E[Sku]

= E[E[(Sk - ku)(T - k) | E0,...,Ek]] + E[Sku] (using law of total expectation)

= E[(Sk - ku)E[T - k | E0,...,Ek]] + E[Sku] (using linearity of expectation)

= E[(Sk - ku)(E[T | E0,...,Ek] - k)] + E[Sku] (using law of total expectation)

= E[(Sk - ku)(T - k)] + E[Sku] (since T is a bounded stopping time)

= E[SkT - kuT - kS + ku] + E[Sku]

= E[SkT] - uE[KT] - kE[S] + ku + E[Sku] (using linearity of expectation)

= uE[KT] - uE[KT] - kE[S] + ku + E[Sku] (using the optional stopping theorem)

= ku + E[S(T-k)]

= ku + E[Sk - k^2] (since T is a stopping time)

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The terms given in US national debt in standard form when converted to scientific notation form will be 2.86 * 10^11, 3.70 * 10^11, 9.07 * 10^11, 3.23 * 10^12, 5.67 * 10^12 and 1.35 * 10^13 respectively.

Scientific notation if the process of conversion of very large numbers which are otherwise inconvenient to read into decimal form raised to some power of 10.

During this conversion, the numbers in standard form are written such that only one place value before decimal is left and written as coefficient and all other numbers are then counted and written in the form of base 10 raised to some exponent value.

The coefficient value must be such that its value lies between 1 and 9 and less than 10. Thus, the following numbers can be written as follows in scientific form.

286330760848.37 = 2.86 * 10^11

370918706949.93 = 3.70 * 10^11

907701000000.00 = 9.07 * 10^11

3233313451777.25 = 3.23 * 10^12

5674178209886.86 = 5.67 * 10^12

13561623030891.79 = 1.35 * 10^13  

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The exponential function represented in the table is given as follows:

y = 3^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

From the table, we have that when x=  0, y = 1, hence the parameter a is given as follows:

a = 1.

When x is increased by one, y is multiplied by three, hence the parameter b is given as follows:

b = 3.

Hence the function is:

y = 3^x.

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The position function is s(t) = -5t³ + 3t² + 8t + 2.

We have,

To find s(t), we need to integrate the velocity function v(t) since velocity is the rate of change of position with respect to time.

To do this, we need to first find the velocity function v(t) by integrating the acceleration function a(t):

a(t) = -30t + 6

Integrating with respect to t, we get:

v(t) = -15t² + 6t + C1

We are given that v(0) = 8, so we can use this to solve for the constant C1:

v(0) = -15(0)² + 6(0) + C1 = C1

C1 = 8

Now we have the velocity function:

v(t) = -15t² + 6t + 8

To find s(t), we need to integrate v(t) with respect to t:

s(t) = -5t³ + 3t² + 8t + C2

We are given that s(0) = 2, so we can use this to solve for the constant C2:

s(0) = -5(0)³ + 3(0)² + 8(0) + C2 = C2

C2 = 2

Now we have the position function:

s(t) = -5t³ + 3t² + 8t + 2

Therefore,

The position function is s(t) = -5t³ + 3t² + 8t + 2.

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a) The number of ways that four people can be selected from this group of fifteen is: 1365 ways

b) The number of ways that four Republicans can be selected from the eight Republicans is: 70 ways

c) The probability that the selected group will consist of all republicans is: 5.13%

The selection of people from a given list can be done in the following way: if we want to select r people from a list of n people, then we can do so in:

nCr = n!/(r!(n - r)!)

In the first part of the question, we don't need to decide on specific people from each group, but in the subsequent parts, it becomes an added restriction.

A. This can be done in:

15C4 = 15!/(4!(15 -4!)

= 1365 ways

B. This can be done in:

8C4 = 8!/(4!(8 - 4)!)

= 70 ways

C. The chances that all are republicans is a measure of the ratio of the answer in the first question to the second:

70/1365 = 0.0513 = 5.13%

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False. When Jane turns left 40 degrees and walks 60 meters, she is farther away from her starting position than when she crossed the finish line.

If Jane turns left 90 degrees or 120 degrees, then she will also be farther away from her starting position than when she crossed the finish line. Turning left 90 degrees or 120 degrees will take her in a different direction, and thus she will be farther away from her starting position than when she crossed the finish line.

Therefore, the given statement is false.

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The function that are vertical translations of f(x) are; (B), (C), and (D).

Given that f(x) = √x is the square root function.

We know that vertical translation of a function is a transformation that shifts the graph of the function up or down without changing its shape.

Option (A) K(x)=√√√-5+x is a vertical translation of f(x) because it shifts the graph of f(x) to the right by 5 and then applies three square root operations. so, it is not a vertical translation that shifts the graph up or down.

Option (B) n(x) = -7+ √x is a vertical translation of f(x) due to it shifts the graph of f(x) down by 7 units.

Option (C) g(x)=√x -4 is a vertical translation of f(x) since it shifts the graph of f(x) down by 4 units.

Option (D) h(x)=3+√x is a vertical translation of f(x) since it shifts the graph of f(x) up by 3 units.

Option (E)  m(x)=√5x is not a vertical translation of f(x) since it involves multiplying the input of f(x) by a constant factor of 5.

Therefore, the options that are vertical translations of f(x) are; (B), (C), and (D).

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Answer:

B

Step-by-step explanation:

When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.

We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.

Answer B.

Answer:

78.8888888889 or just round to 79

Step-by-step explanation:

Your welcome. Can you please mark me brainliest please? :)

Answer:

78.8888888889

Step-by-step explanation:

The probability in percentage form is P(divisor of 54) = 29.6%

The divisors of 54 are:

2, 3, 6, 9 (in the range we care)

Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.

So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:

P(divisor of 54) = 16/54

P(divisor of 54) = 0.296

To write it as a percentage just multiply it by 100%.

P(divisor of 54) = 0.296*100% = 29.6%

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There is no error in steps while proving 2=1

We have to prove 2=1

Let x=1

Add X on both sides

X+X = 1+X

2x = 1+X

2x = X+1

Subtract 2 from both sides

2X-2 = X+1-2

2x-2 = X-1

2(X-1)=x-1

Divide both sides by x-1

2 (x-1)/(x-1) = X-1/X-1

We get 2=1

Hence, while proving 2=1 there is no error in steps

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The amount she invested at each rate of interest for the simple interest are $39,100 and $78,200.

Given that,

Jolene invests her savings in two bank accounts.

Rate of interest for one account = 6% per year

Rate of interest for the other account = 10% per year

Let x be the principal amount invested in the account yielding 10% interest.

Interest amount = 0.1x

Principal amount in the account of 6% interest = 2x

Interest amount = 0.06 × 2x = 0.12x

Annual interest = $8602

0.1x + 0.12x = 8602

0.22x = 8602

x = $39,100

Amount invested for 10% interest account = $39,100

Amount invested for 6% interest account = 2 × $39,100 = $78,200

Hence the amount invested are $39,100 and $78,200.

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Note that  in the line graph presented, 3/4 the distance from A to B is 12, thus, t = 12.

Given:

A (- 2 , 0) and B(14, 0)

Using distance formula,      we can determine the distance between coordinates given:

d    = √ ( (x2 - x1)² + ( y2 - y1) ²)

In this case,  x1 = -2  y1 = 0,

x2 = 14, and y2 =  0.

Substituting these     values into the formula, we get:

d = √(  (14 -   (-2 ) ) ² + (0 - 0) ²)

= √((16)² + (0)² )

= √(256)

= 16

The distanc between the points (-2,0) and (14,0) is 16   units.

Recall that we need to find the position of t which    is 3/4 the distance between A and B.

That is:

3/4 x 16

t = 12.


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Answer:

3 × 2 × 1 + 3 + 8 + 6 + 7 - 9 - 9 ÷ 7 × 0 × 1

= 6 + 3 + 8 + 6 + 7 - 9 - 0

= 31 - 9

= 22

Therefore, the value of the expression is 22

The value of the variable x;

1. x = -4, BC = 4x + 3 = -13

2. x = 72 degrees

3. x = 5/2, SV = 6.5, ZU = 6.4

4. x = 4

5. x = 5

6. x = 3

Tangent are simply described as any straight line that is drawn from the curve at a point but never reaches the center of the circle.

It is also important to note that tangent segments of a circle are equal.

From the information given, we have that;

1. The tangents are;

4x + 1 = 5x - 3

collect the like terms

-x = 4

x = -4

Then BC = 4x + 3 = -13

2. 2x - 1 = 143

collect the like terms

2x = 143 + 1

2x = 144

x = 72 degrees

3. 3x - 1 = 5x - 6

collect the like terms

-2x = -5

x = 5/2

Then,

SZ = ZU =  3(5/2) - 1 = 15/2 - 1 = 6.5

4. 5x² + 10 = x² + 74

collect the like terms

4x² = 64

x² = 16

x = 4

5. 2x + 7 = 5x - 8

collect the like terms

-3x = -15

divide the values

x = 5

6. 3x - 1.2 = 2x + 1.8

x = 3

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Answer:

The angle -90 degrees is equivalent to -π÷2 radians.

How we convert the angle −90∘ into radians?

To convert an angle from degrees to radians, we use the formula: radian measure = degree measure * π/180. In this case, we want to convert -90 degrees to radians. So, we substitute -90 into the formula and get:

radian measure = -90 × π÷180

Simplifying this expression, we can cancel the factor of 90 and get:

radian measure = -1÷2 × π

This means that -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact. The reason why we use radians to measure angles is because they are a more natural unit for measuring angles in calculus and other mathematical contexts.

Therefore, -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact.

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Answer:

1. 69.73 is the Area of the Rectangle. 50.27 is the Area of the Circle. 2. 120 is the area of the parallelogram, 25.13 is the area of the semi-circle

Step-by-step explanation:

For #1, We can to 15 * 8 to get area of what would be the whole rectangle. It is 120. Then, calculate area of the circle, pi * 4^2(4 because the 8 is a diameter. That totals to 50.27 for the circle. Subtract the two, 120-50.27 and you get 69.73 as the area of the shape excluding the circular portion.

For #2, We can apply the same formula for the circle, and divide it by two this time for 25.13 as the circle area. We can use the paralellogram formula of b*h (6*20) and we get 120 for that area. The total for the whole figure on #2 is 145.13 square units.

Note: unit for both is square units, as it is not specified.

Answer:

This graph is not a function.

The domain is -3<x<3.

The range is 1<y<3.

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Corellian Engineer used the Bottom up (Micro) approach to estimate the total cost of developing a new navigation system for its YT-1300 Freighter. The total cost estimate of $17,500. So, the correct option is C).

The process that Corellian used for this estimate is the Bottom up (Micro) approach, which involves estimating costs for each component or task in the project and then summing them up to get the total cost estimate.

In this case, they estimated the costs for programming, beta testing, installation, and final shake down, and then added them up to get the total cost estimate of $17,500.

So, the correct answer is C).

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Answer: 1/6 = cos(8π)/6 + i*sin(8π)/6

Step-by-step explanation: In the context of complex numbers, the division of 1 by 6 can be accomplished by employing a straightforward procedure that involves dividing both the real and imaginary components by 6.

The mathematical expression 1/6 may be represented in academic prose via the complex number format (cos(8π)/6 + i*sin(8π)/6).