Carlos can write 3 to 4 pages in his journal in 3/4 hour. If he writes for 5 hours, what's a reasonable number of pages he can write in that time?

A) between 10 and 15
B) between 15 and 20
C) between 20 and 25
D) between 25 and 30

Yes. As long as it is y = mx+b.

Answer:

A.

Step-by-step explanation:

Just substitute x with a+2

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Answer:

A. 3 (a + 2) + 5/a + 2

Step-by-step explanation:

Answer:

∠DBC

Step-by-step explanation:

Since ∠ABD shares the same vertex and side with ∠DBC, then they are adjacent angles.

The total number of red counters that are in the box is; 728 red counters

Let the number of white counters be x.

Let the number of red counters be y.

Let the number of black counters be z.

Thus;

z:x = 2:7

Thus; 2x/7 = z

Also, we are given;

x:y = 3:8

Thus;

8x/3 = y

x + y + z = 1079

x + (8x/3) + (2x/7) = 1079

Multiply through by 21 to get;

21x + 56x + 6x = 22659

83x = 22659

x = 22659/83

x = 273

2x/7 = z

Thus; z = 2 × 273/7

z = 78

8x/3 = y

y = 8 × 273/3

y = 728

273 white counters

728 red counters

78 black counters.

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With the inclusion of randomness or exploration, some students might deviate from the dominant strategy which results in strategy evolution of longer cycles compared to the previous cycle.

The missing feature in the adjustment process that would prevent being stuck in the state (10,0,0) is the consideration of randomness or exploration. Currently, the adjustment process only relies on the information of the highest average payoff, without taking into account the potential benefits of exploring different strategies.

Including randomness or exploration would make the adjustment process more realistic because it allows for the possibility of discovering better strategies through experimentation. This reflects the idea that in real-life scenarios, individuals often try different approaches to find the most successful one.

As for identifying another cycle starting with the state (2,4,4), the dynamics of the system would involve periods of strategy switching based on the highest average payoff.

However, with the inclusion of randomness or exploration, some students might deviate from the dominant strategy in an attempt to discover a better one. This could lead to more complex patterns of strategy evolution and potentially longer cycles compared to the previous cycle.

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The system of equations are:

$12p + $3a = $258

a - p = 6

Where:

Two linear equations would be derived from the question. The linear equations would be a function of the phones and accessories sold. These equations are known as simultaneous equations and they would have to be solved together in order to determine the required values.

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Radioactive particles 2000  the sample have 80 years from today.

We have the information:

There is 2000 radioactive particles in a sample.

and,  your grandmother measured 4000 radioactive particles in it 80 years ago.

We have to find the samples of radioactive particles present it in 80 years from today.

By the definition of Half line,  The half line of the item is 80 years.

=> 80 years from now, means that another half life is achieved means, 2000 will reduced to half on decay.

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Answer: x= -5

Step-by-step explanation: Zero is x

f(-5)= -15 +7= -8

f(-5)= -1 - 7 = -8

Answer is -8

Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

For a one-tailed test with a 0.05 level of significance, the critical z statistic is 1.645, but the critical t statistic is 1.96. The statement is false.

The statement is incorrect. For a one-tailed test with a 0.05 level of significance, the critical z statistic is indeed 1.645. However, the critical t statistic value depends on the degrees of freedom (df), which is not provided in the statement. The 1.96 value mentioned is actually the critical z statistic for a two-tailed test with a 0.05 level of significance.

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The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

What is square of correlation coefficient?

A helpful number in linear regression is the square of the correlation coefficient, or r2.

The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.

The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.

Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.

The square of the correlation coefficient is what is meant by the term "coefficient of determination."

Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.

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The  statement about probability that is true is option The probability of landing on orange is equal to the probability of landing on yellow.

From the  question, the spinner has:

8 sections, with:

So probability of one getting on any section is  = 1/8, or 0.125.

Therefore, the  probability of getting on orange will still be the same as the probability of landing on yellow and as such option C is correct.

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The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:56.1

Step-by-step explanation:

Clicked see solution

Answer:

11 years

Step-by-step explanation:

7200  -  80x  =  5000  +  120x
-5000 + 80x    -5000 + 80x
           2200 = 200x
                  11 = x

Step-by-step explanation:

The equation of the line perpendicular to the line y = -3x + 6 and passing through the point (-2,8) is y = (1/3)x + (10/3).

Answer:

Step-by-step explanation:

We know that the perimeter is the sum of side lengths.

Substitute the values and solve for x:

Answer:

\(perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you\)

Answer: Marsha earned $375 in interest. ✅

Step-by-step explanation:

Multiply the amount Marsha deposited, which was $7,500, by the interest rate, which was 5%. 5% of $7,500 is $375, so that's the amount of interest Marsha earned.

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

-10

-7

-4

-1

2

5

8

Step-by-step explanation:

an = a + (n - 1)d

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

Answer:

13 situps per day

Step-by-step explanation:

To find the number of situps per day, take the total number of situps and divide by the number of days.

39/3

13 situps per day

Answer:

136

Step-by-step explanation:

2(6)^2-(-4)^3

2(36)+64

72+64

-Hope it helps :)

The distance from A to P is twice the distance from P to D, and the coordinates of point P is

P=  (5, 10)

This is further explained below.

The numerical measurement of how far away two places or things are is referred to as distance.

When discussing physics or using the term in ordinary conversation, "distance" may either refer to an actual length or an assumption based on other factors. When referring to the distance between two points, the notation "AB" is often used.

In conclusion, The distance from Point A to Point P is equal to two times the distance from Point P to Point D, and Point P's coordinates are

P=  (5, 10)

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Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

456748

Step-by-step explanation:

you 463uy2iuswhk then 13456

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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