determine whether the data described are discrete or continuous. the number of times you login to your email account each day.

Answer:

Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.

Step-by-step explanation:

Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:

3^7 = X

2,187 = X

(3^5) x 5000 = X

243 x 5000 = X

1,215,000 = X

Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.

Step-by-step explanation:

I use desmos . com so it's easier.

A) 1.29

B) 0.91

C) 0.97

D) 1.05

Good Luck!

Answer:

Step-by-step explanation:

The answer is $1,360 (please like)

The annual dividend on 2000 shares at the time would be $3200

Quarterly dividend for 2000 shares :

Annual dividend on 2000 shares :

Therefore, the Annual dividend will be $3200

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Answer:

-7.62

Step-by-step explanation:

Using BODMAS rule: Bracket of division,multiplication, addition and subtraction

The  5−44⋅(−0.75)−18÷23⋅0.8−45. solves using BODMAS gives -7.62.

Bracket, Of, Division, Multiplication, Addition, and Subtraction are abbreviated as BODMAS. The BODMAS is used to explain the sequence in which a mathematical equation operates. The BODMAS is also known as PEDMAS in some regions, which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction.

Given:

5−44⋅(−0.75)−18÷23⋅0.8−45.

Using BODMAS

= 5 + 33 - 0.78 x 0.8 - 45  ( Bracket Solved)

= 38 -0.624-45 ( Division and Multiplication)

= -7.62 (Addition and Subtraction)

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Answer:  d

Step-by-step explanation:

The given Commutative Property is 8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4 by solving this property we get the answer as (8.3y + 3.1).

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. According to the question,

Steps involved are:-

So,

8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4

= (8 - 0.2 + 0.5) y + (2.2 + 1.3 - 0.4)

= (8 + 0.5 - 0.2) y + (2.2 + 1.3 - 0.4)    

= (8.5 - 0.2) y + (3.5 - 0.4)    

= (8.3) y + 3.1    

= (8.3y + 3.1)

Thus , by following all the steps and properties we get the obtained result.

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Answer:

the answer is c y=1/2×+2

Answer:

I think it might be C

Step-by-step explanation:

its a plus 2 since your line starts of higher

Answer:

Explanation:

Given the expression:

To determine an equivalent expression, we start by simplifying the terms in the braket.

a. The given sequence is not an arithmetic sequence.

b. The distance a falling body covered in t = n seconds of movement is 5n²meters.

What is the distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here, we have

a. A sequence can be said arithmetic sequence if the difference between any two consecutive terms remains the same.

In this case, the difference between 20 and 5 is 15, and the difference between 45 and 20 is 25, this shows that the difference between two consecutive terms is not the same.

Hence, it can be said that the given sequence is not an arithmetic sequence.

b. To evaluate the distance covered by the body in “n” seconds, Substitute t=n in d(t) then d(n) will represent the distance covered by the body in “n” seconds

d(n)=1/2 g(n)²

d(n) = 1/2(10)(n)²

d(n) = 5n²meters

Hence, the distance a falling body covered in t = n seconds of movement is 5n²meters.

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The outstanding principal after the 93rd repayment is approximately $532.81.  The correct answer is 1) $532.81.

To calculate the outstanding principal after the 93rd repayment, we need to determine the loan's initial principal and the monthly interest rate.

- Monthly repayment: $180.00

- Number of repayments: 96

- Interest rate: 12 = 8.0730% per annum

First, let's calculate the monthly interest rate by dividing the annual interest rate by 12:

Monthly interest rate = j12 / 12

Monthly interest rate = 8.0730% / 12

Monthly interest rate = 0.67275% or 0.0067275 (as a decimal)

Next, we can use the loan amortization formula to calculate the initial principal (P) of the loan:

Initial principal (P) = Monthly repayment / ((1 + Monthly interest rate)^(Number of repayments) - 1)

P = $180.00 / ((1 + \(0.0067275)^(96) - 1)\)

P ≈ $14,557.91

Now, we can determine the outstanding principal after the 93rd repayment. We need to calculate the remaining principal after 93 repayments using the following formula:

Outstanding principal = Initial principal * ((1 + Monthly interest rate)^(Number of repayments) - (1 + Monthly interest rate)^(Number of repayments made))

Outstanding principal = $14,557.91 * ((1 + 0.0067275)^(96) - (1 + \(0.0067275)^(93))\)

Outstanding principal ≈ $532.81

Therefore, the outstanding principal after the 93rd repayment is approximately $532.81.

The correct answer is 1) $532.81.

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Answer:−9a+10b−23

Step-by-step explanation:−9a+3b−a+7b−13+a−10

Combine −9a and −a to get −10a.

−10a+3b+7b−13+a−10

Combine 3b and 7b to get 10b.

−10a+10b−13+a−10

Combine −10a and a to get −9a.

−9a+10b−13−10

Subtract 10 from −13 to get −23.

−9a+10b−23

Answer:

\(-9a+10b-23\)

Step-by-step explanation:

\(-9a+3b-a+7b-13+a-10\)

\(-9a-a+a+3b+7b-13-10\)

\((-9a-a+a)+3b+7b-13-10\)

\(-9a+(3b+7b)-13-10\)

\(-9a+10b-(13+10)\)

\(-9z+10b-23\)

Answer:

y=5/3x+8

Step-by-step explanation:

Answer:

y = -3x + 2

Step-by-step explanation:

The linear equation is in the form

y = mx + b

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

the slope can be calculated using two points

Let us have; (-2,8) and (0,2)

The equation of the slope is ;

m = (y2-y1)/(x2-x1) = (2-8)/(0+2) = -6/2 = -3

So for the y-intercept, we select any of the points to substitute

Let us have (0,2)

Substitute this into;

y = -3x + b

2 = -3(0) + b

b = 2

So the equation is;

y = -3x + 2

Answer: 0.9

Step-by-step explanation: First, divide 18 by 19. The exact answer to the fraction is 0.94736842105. To round to the nearest tenth, check if the answer directly to the right of the number after the decimal point is above or below five. In this case, it is below, rounding the answer to 0.9. Hope that helps!

Answer:

672 quarts in 48 hours

Step-by-step explanation:

240q : 10h

first, find the unit rate

240q : 10h

/10       /10

24q : h

now multiply by 48 to find the number of quarts made in 48 hours

24q : h

*48    *48

672 q : 48h

Answer:

240 in 10 hours

simply means 1152 in 48 hours as the no. of quarts Is directly varies with the amount of time they invest.

Step-by-step explanation:

240=10

?=48

simply cross multiply it and solve

240*48/10

=1152 ans.

hope it works

Answer:

The correct answers would be

B, C, and D.

Step-by-step explanation:

B) ΔABD ~ ΔCBA

∠B is congruent to ∠B (itself) by the Reflexive Property.

C) ΔDAB ~ ΔDCA

I took the quiz and got this one right though I'm not 100% sure how it works.

D) ΔBCA ~ ΔACD

∠C is congruent to ∠C through the Reflexive property.

I hope this helps :)

I tried my best

The similarity statement that would be true for the given figure is; A.

∆ DAB ~∆ DAC

Similar triangles are those triangles that have the same proportionate side lengths as well as related angle measurements.

Two triangles are said to be similar if their corresponding angles and sides have the same ratio. Similar triangles will possess the same form but may or may not have the same size.

The SAS similarity rule states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then it means that the two triangles are similar.

The Side-Side-Side (SSS) similarity rule states that If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

In this question, when we analyze the triangles well, it is clear that;

DA is congruent to itself by reflexive property of congruence.

Thus, we can say that ΔDAB is similar to ΔDAC,

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Answer:

(a) 21 (b) 53.1

Step-by-step explanation:

(a)

\(sin(30)=\frac{x}{42} \\x=sin(30)*42\\x=21\)

(b)

\(cos(x)=\frac{21}{35} \\x=cos^{-1} (\frac{21}{35} )\\x= 53.130....\\x=53.1\)

Answer:

LAST TABLLEE

Step-by-step explanation:

We are given a equation m²-10m+16

We have to find which diagram represents the factor of m²-10m+16 we will use splitting the middle term method:  

m²-10m+16 can also be written as

m²-8m-2m+16

= m(m-8)-2(m-8)

=(m-2)(m-8)

so, Last Table represents the factors of m²-10m+16

x = 72

y = 54

z = 54

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

The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.

The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.

--------------

For any triangle, the three angles always add to 180. This means,

x+y+z = 180

72+y+z = 180 .... plug in x = 72

72+y+y = 180 ... recall that y = z

2y+72 = 180

2y = 180-72

2y = 108

y = 108/2

y = 54, which is also the measure of angle z as well

--------------

As a quick check,

x+y+z = 72+54+54 = 180

which helps confirm the answer.

Answer:

Step-by-step explanation:

Given a table of base prices, option prices, and destination charges, you want the corresponding sticker prices.

The sticker price is the sum of the base price, options, and destination charge. For example, ...

  sticker price = $19,900 +2400 +350 = $22,650

From the top down, the sticker prices are ...

__

Additional comment

It is convenient to have a calculator or spreadsheet repeat the calculation with the different numbers.

Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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The function f(x) = xlnx is decreasing on the open interval (0, e^-1).

To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.

Using the product rule of differentiation, we can find the first derivative of f(x) as

f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)

Now, we need to find the values of x where f'(x) < 0

1 + ln(x) < 0

ln(x) < -1

x < e^-1

Therefore, f(x) is decreasing on the interval (0, e^-1).

Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.

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Answer:

Step-by-step explanation:

4th

Answer:

A y=-5/4x+6

Step-by-step explanation:

When given a function f defined as f(x) = ax + b, where a and b are constants, and f(3) = 10 and f(8) = 12, the values of a and b are 0.4 and 0.8, solved using a system of equations. So the right answer is O a = 0.4, b = 8.8.

The values of a and b can be determined as follows:

f(3) = 10 implies that 10 = 3a + bf(8) = 12 implies that 12 = 8a + b

We can solve this system of equations to get the values of a and b.

One way to do this is to use elimination: We can eliminate b by subtracting the first equation from the second equation: 12 - 10 = (8a + b) - (3a + b)2 = 5a

Solving for a, we get a = 2/5.

Substituting this value of a into the first equation, we can solve for b:10 = 3a + bb = 10 - 3a

Substituting the value of a = 2/5, we get: b = 10 - 3(2/5)b = 10 - 6/5b = 44/5

Therefore, the values of a and b are: a = 2/5 and b = 44/5.

The correct answer is: a = 0.4, b = 8.8.

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Answer:

k = 20

Step-by-step explanation:

simplify both sides of the equation, then isolate the variable.

hope it helps you!:))

EXPLANATION

Let's see the facts:

- Given the set data:

Favorite Science Class

Gender Biology Chemistry Physics Total

Girl 43 37 23 103

Boy 18 48 31 97

Total 61 85 54 200

Answer:

103 of the 200 students were girls, so 200-103 = 97 of them were boys.