The first three terms of an arithmetic sequence are u1=3k−1, u2=4k+1, and u3=6k−2. What is the value of k?

Answer:

Ima say 2017

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Combine like terms

0 = 2x + 4

-4 = 2x

-2 = x

Events A and B are mutually exclusive.

The given information is: P(A) = 0.62, P(B) = 0.34, P(C) = 0.07, P(B|A) = 0, P(C|B) = 0.34, and P(A|C) = 0.62. Two events are mutually exclusive if the occurrence of one event means the other event cannot occur, which is represented by P(B|A) = 0 or P(A|B) = 0.

In this case, P(B|A) = 0, which indicates that events A and B are mutually exclusive. They cannot be independent because independent events must satisfy P(A and B) = P(A) * P(B), which is not true here since P(A and B) = 0 due to mutual exclusivity.

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Answer:

Answer: 0.141 kilos

0.141748

Step-by-step explanation:

The conversion is 0.1417475 Kg

Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors which change the measured quantity value without changing its effects.

given:

5 ounces

So, to convert ounces to kilogram we have

1 ounce = 0.0283495 Kg

So, 5 ounces = 5* 0.0283495

5 ounces = 0.1417475 Kg

Hence, 5 ounces = 0.1417475 Kg

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Answer:

25 (price of 1 mug)

40 ( price of 1 tumbler)

Step-by-step explanation:

15 x 17 = 255

880 - 255 = 625

625 ÷ (17+8)  = 25 (price of 1 mug)

25+15 = 40 ( price of 1 tumbler)

The measure of angle s1 is 35 degrees

The diagonals of a rhombus divides the angle into equal measures.

This means that:

\(\angle S = s_1 + 35\)

Where:

\(s_1 =35\)

Substitute 35 for s1

\(\angle S =35 + 35\)

\(\angle S =70\)

From the above computations, we have the following angle measures

Hence, the measure of angle s1 is 35 degrees

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The absolute value equation is |x - 178| = 40 and the locations of the two smaller stations are 218 and 138 markers

The statements from the question can be represented as

So, we represent the distance of the smaller stations with x

Having mentioned that, we have the following representation

|x - Location of the larger station| = The positions of the smaller stations

Substitute the known values in the above equation, so, we have the following representation

|x - 178| = 40

In (a), we have

|x - 178| = 40

Remove the absolute bracket

x - 178 = 40 and x - 178 = -40

Add 178 to both sides

x = 218 and x = 138

So, the solutions are x = 218 and x = 138

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Given:

To find the factors:

The given equation can be written as,

Hence, the factors are 2,(x+4), and (x+6).

Answer: 20

Step-by-step explanation:

17 is closest to 20 :)

(sorry if this is wrong)

Answer:

By 3.

Step-by-step explanation:

-12-3=-15

Hope this helps!

Answer:

-12 exceeds -15 by 3

Step-by-step explanation:

To find out by how much a exceeds b, subtract a - b.

For example, by how much does 8 exceed 6?

Here, a = 8 and b = 6.

a - b = 8 - 6 = 2

2 is correct since we know that 8 is 2 greater than 6.

Now we do this problem.

By how much does -12 exceed -15?

a = -12; b = -15

a - b = -12 - (-15) = -12 + 15 = 3

Answer: -12 exceeds -15 by 3

The decision-making process involved in Mikaela's decision to attend a Zumba class on Tuesday and Thursday afternoons and make it her regular exercise routine is "escalation."

In the scenario described, Mikaela initially started attending the Zumba class on Tuesday and Thursday afternoons. She found that it gave her a good workout and was satisfied with the results. As a result, she continued attending the class on those days and made it her regular exercise routine. This decision to stick to the same schedule without considering other options or making changes over time is an example of escalation.

Escalation in decision-making refers to the tendency to persist with a chosen course of action even if it may not be the most optimal or efficient choice. It occurs when individuals continue to invest time, effort, and resources into a decision or course of action, even if there may be better alternatives available. In this case, Mikaela has decided to stick with the Zumba class on Tuesday and Thursday afternoons because she found it effective and enjoyable, and she hasn't explored other exercise options since then.

It's important to note that escalation may not always be the best approach in decision-making. It's always a good idea to periodically reassess and evaluate the choices we make to ensure they still align with our goals and needs. Mikaela might benefit from periodically evaluating her exercise routine to see if it still meets her fitness goals and if there are other options she could explore for variety or improved results.

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Answer:

Step-by-step explanation:

this polynomial is to thhe first degree 2\(n^{1}\) so is a linear one

Answer:

Graph below

Step-by-step explanation:

start at (0,1)

up 1

right 4

Answer:(-4,5)

Step-by-step explanation:If you put (-3,2) and (-8,4) on a number line then it would be (-4,5).

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

According to research, 60-70% percentage of instructional time is devoted to written computation. So, the correct answer is A).

The instructional time is devoted to written computation can vary depending on the specific study being referred to. However, traditionally, written computation has been a fundamental component of math instruction, and it can occupy a significant portion of instructional time.

Studies have reported that written computation can take up anywhere from 60% to 70% of instructional time. This significant allocation of time to written computation reflects the importance placed on basic computational skills in mathematics education, which are seen as essential building blocks for more advanced mathematical concepts and problem-solving skills. So, the correct option is A),

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To calculate the weighted average grade, we need to multiply each grade by its corresponding weight, add up these products, and then divide by the total weight. Let's do this for the student's grades:

Weighted grade for unit tests = 86% x 0.25 = 21.5%

Weighted grade for final test = 85% x 0.4 = 34%

Weighted grade for class project = 90% x 0.15 = 13.5%

Weighted grade for homework submissions = 92% x 0.2 = 18.4%

Total weight = 0.25 + 0.4 + 0.15 + 0.2 = 1

Weighted average grade = (21.5% + 34% + 13.5% + 18.4%) / 1 = 87.4%

Therefore, the student's weighted average grade is 87.4%.

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The length of one side of the box is 10 inches.

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = \(\sqrt[3]{1000}\)

Therefore, each side is 10 inches.

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Answer:

-5x^3 +11x^2-2

Step-by-step explanation:

(8x^2 − 1 + 2x^3) − (7x^3 − 3x^2 + 1)

Distribute the minus sign

(8x^2 − 1 + 2x^3) − 7x^3 + 3x^2 - 1

I like to line them up vertically from largest to smallest

2x^3 + 8x^2 − 1

− 7x^3 + 3x^2 - 1

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

-5x^3 +11x^2-2

Answer:

-5x^3 +11x^2-2

(8x^2 − 1 + 2x^3) − (7x^3 − 3x^2 + 1)Distribute the minus sign(8x^2 − 1 + 2x^3) − 7x^3 + 3x^2 - 1I like to line them up vertically from largest to smallest2x^3 + 8x^2 − 1− 7x^3 + 3x^2 - 1------------------------------5x^3 +11x^2-2

correct me if im wrong

Answer:

In the graph we have y = other nuts and x = peanuts:

Now, looking at the table we can see that.

A = 9 peanuts and 7 other nuts, so this point is: A = (9,7)

we do the same to locate the other 4 points.

B = (6, 5)

C = (8, 9)

D = ( 5, 7)

E = (7, 4)

Now you need to see the graph and find those coordinates and select them.

where for example:

A = (9, 7) you need to find the point where the line number 9 in the horizontal axis crosses with the line 7 in the vertical axis (this is the bottom point on the far right)

..............................................................

Answer:

y intercept = -5

x intercept = 4

Step-by-step explanation:

f(x) can be substituted with y for this question.

y = 5/4x - 5

the way to solve for x intercept is to set y to 0 and solve for x

0 = 5/4x - 5

5 = 5/4x

multiply by four on both sides

20 = 5x

divide by five on both sides

4 = x

the way to solve for the y intercept is to set x to 0 and solve for y

y = 5/4(0) - 5

y = -5

you can then graph the points (4,0) and (0,-5) to create the line for the function.

Answer:

$84.24

Step-by-step explanation:

73.25 x 0.15= 10.99+73,25

Answer:

5/6

Step-by-step explanation:

Hope this helped!!!

Grace has drawn a Scalene and Obtuse triangle.

Triangles are classified according to the sides and according to the angles.

According to the length of sides there are three types of triangles.

According to the measurement of angles there are three types.  

So according to both the classification, the triangle Grace drew is a Scalene and an Obtuse triangle.

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