Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence? 1.9, 4.9, 7.9, 10.9, 13.9, ...

Answer:

1) There are 26 letters in the alphabet.  Thus, 27 people must be chosen because otherwise there could be 1 person per initial.

2) There are 7 days in a week.  Thus, if the first 7 had their birthdays on every day of the week, the 8th person must share a birthday on the same day of the week as another.

3) A phone number can contain 0,1,2,3,4,5,6,7,8,9.  Thus, if the first 10 people have a phone number that ends with each digit, the 11th must share it, as there are no unique options.

4)  100/2 = 50.  Thus, the minimum each bag could have is 50.

5) 19/3 > 6.  The maximum number you could get with numbers less than seven is 6,6,6 = 18.  18<19.  Thus, you need a number 7 or greater.

6) The worst scenario that could happen here is that you grab 8 German books, 10 French books, and 12 Spanish, Russian and Italian books.  This would be 54 books.  Thus, with the 55th book, you must have gotten 12 of at least one subject.  Thus, the answer is 55 books.

7) This is vague.  If she cannot repeat any of the three jokes in the triplet, then she must have 36 jokes for this to be possible, because 12*3=36

8) Each of the remaining 29 students made less than 12 mistakes.  Even if 2 students made 11,10,9,8,7,6,5,4,3,2,1 mistakes, there would still be multiple students left that would have made 11,10,9,8,7,6,5,4,3,2, or 1 mistake(s), meaning that at least 3 students made the same amount of mistakes.

9) 465/95 = about 4.9.  Thus, each table could have less than 6 seats, so we cannot be sure.

Hope it helps <3

Step-by-step explanation:

4.

Bags contain x and y numbers of marbles.

x + y > 100

The least number that is more than 100 is 101.

If x and y are both less than 51, then you have at most a total of 100 marbles.

To have 101 marbles, you must have one bag with at least 51 marbles, and the other bag with the rest. Neither bag must have at least 50 marbles. You can have 1 and 100, but that is still more than 50 marbles in one bag.

6.

You are looking for 12 books in the same language. Let's say you start by picking all 10 French books and all 8 German books. You are up to 18 books. There are no more French or German books, so you can't get to 12 books in one language with those. Now you pick 11 Spanish books, 11 Russian books, and 11 Italian books. That is another 33 books, and still no 12 books in one language. You already picked 18 books + 33 books = 51 books. The very next book must be a Spanish book or a Russian book or an Italian book, and it will make the 12th book of that language. You need to pick 52 books to be sure you have 12 of the a single language.

Answer: 52 books

7.

You need enough jokes to have 12 different combinations of 3. This is a case in which order does not matter.

If you have 3 jokes, named A, B, and C, you only have enough for 1 year, since ABC, ACB, BAC, BCA, CAB, and CBA are all the same triple of jokes.

This is a combination problem.

nCk = (n!)/[k!(n - k)!]

We know we need more than 3 jokes. Let's try 4.

n = 4

nCk = (4!)/[3!(4 - 3)!]

nCk = 4

We need 12, so 4 is not enogh.

n = 5

nCk = (5!)/[3!(5 - 3)!]

= 5 * 4/2

= 10

Now enough.

Try n = 6

nCk = (6!)/[3!(6 - 3)!]

= 20

With 6 different jokes, you can make 20 different triplets, so there is no need to repeat any triplet in 12 years.

Answer: 6 jokes

Answer:

Area = [tex]\frac{1}{2} (6)(6)[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Base = 6 , Height = 6

Area = [tex]\frac{1}{2} (6)(6)[/tex]

Area = 3 * 6

Area = 18 units^2

Answer:

Hey there!

The area of the shaded triangle covers exactly half the square.

Thus, first we find the area of the square, which is 6x6, or 36.

Finally, half of that is 1/4 times 6x6.(Fraction 1 over 2 •6•6 is correct)

Let me know if you need more help :)

Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

For more details, refer to the link:

https://brainly.com/question/23535769

Answer:

[tex]\boxed{\angle RQS = 56 \ degrees}[/tex]

[tex]\boxed{\angle SRT = 56 \ degrees}[/tex]

Step-by-step explanation:

A) ∠QRS = 90 degrees (The angle of the triangle opposite to the diameter is always 90)

Given that QR = 68 degrees

So,

∠RSQ = [tex]\frac{1}{2} (QR)[/tex]

∠RSQ = 68/2

∠RSQ = 34 degrees

Now, Finding ∠RQS

∠RQS = 180-90-34

∠RQS = 56 degrees

B) ∠SRT = ∠QRS - ∠QRT

=> ∠QRS = 90 (Mentioned above) , ∠QRT = 56 (Given)

So,

∠SRT = 90-56

∠SRT = 34 degrees

Answer:

40 teachers.

Step-by-step explanation:

We are to find the number of teachers (staff) who attended the excursion).

For every 2 staff, there are 15 students

The number of teachers who attended the excursion is [tex]\frac{2}{17}[/tex]  × 340 = 40 teachers

The number of students who attended the excursion is [tex]\frac{15}{17}[/tex] × 340 = 300

Answer:

horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.

Step-by-step explanation:

a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.

Answer:

I agree with Lambina and added this answer so she could get brainliest

Step-by-step explanation:

Answer:

3.43

Step-by-step explanation:

To do this you would first find the area of the square which is 16. Then you would find the area of the 2 semicircle or just on whole circle. We are just going to use the formula for a whole circle since there are 2 semicircles. The formula to find a circle is pi times r^2 so we are going to put that into a calculator so we would do pi times 2 (radius of circle)^2 which is 12.57 and we would subtract 16 by 12.57 which is 3.43

Answer:

3.44 units^2

Step-by-step explanation:

Area of a square = l * w

Area of a circle = 3.14 * r^2

Area of semicircle = 3.14 * r^2 * 1/2

Area of shaded region: Area of square - Area of 2 semicircles

Area of square => 4 * 4 = 16

Area of both semicircles => (3.14 * r^2 * 1/2)*2 = 12.56

16 - 12.56 = 3.44

3.44 units^2 is the answer

I hope this helps!

Answer:

The answer is option C

Step-by-step explanation:

104

E 6

x = 1

Write the number as a product with the factor 1

104

E 6 × 1

n = 1

Rewrite the sum

That's

104

6 × E 1

n = 1

Find the sum of n terms of 1 using the formula

n

E 1

k= 1

Which is

6(104) = 624

Hope this helps you

Answer:

  6(104) = 624

Step-by-step explanation:

The summation symbol ...

  [tex]\sum\limits_{n=1}^{104}{\text{expression}}[/tex]

means that the expression is evaluated for n=1, n=2, n=3, n=4, ... up to n=104 and all of those are added together. Here, the expression being evaluated is "6", which does not depend on n. So, this is simply the sum of 104 instances of 6:

  6 +6 +6 +6 ...+6 . . . . 104 terms in the sum

As we know, repeated addition can be accomplished by multiplication:

 = 6(104) = 624

Answer:

I believe it is:

slope-intercept form: y=3x+6

standard form: -3x+y=6 or 3x-y=-6

point slope-form: y-0=3(x+2)

Step-by-step explanation:

First, I put 3x-y=11 into slope-intercept form:

Subtract 3x from both sides: 3x-3x-y=11-3x

That becomes -y=-3x+11

Divide both sides by -1: -y/-1=(-3x+11)/-1

That becomes y=3x-11\

Then, the definition of a parallel line is having the same slope but different y-intercepts, so I dropped the -11 as the y-intercept, and I rewrote the equation as y=3x+b, where b is the y-intercept.

Now, I have to find the y-intercept of the parallel line, so I plug the coordinates (-2,0) into the equation for x and y to solve for the y-intercept

Write the equation out with what you have so far: y=3x+b

Substitute the coordinates (-2,0) in for x and y: 0=3(-2)+b

That becomes 0=-6+b

Add 6 to both sides: 0+6=-6+6+b

That becomes 6=b, which means that 6 is your y-intercept.

Finally, you have gathered everything you need to write the parallel line in equation format.

The parallel line's equation is

in slope-intercept form: y=3x+6

in standard form: -3x+y=6 or 3x-y=-6

in point-slope form: y-0=3(x+2)

Answer: Experimental probability

Step-by-step explanation:

Probability helps us to know the chances of an event occurring. The sample space will have 4 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Jill has two dimes she is going to use to perform a probability experiment. The sample space looks as if she flips the two dimes simultaneously​ as shown below. The sample space will have 4 outcomes.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

Answer:

  m∠ABC = 90°

Step-by-step explanation:

Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.

We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...

  m∠ABC = m∠ADC = 90°

Answer:

[tex]\frac{35(1 + 35)}{2}[/tex]

Step-by-step explanation:

Given:

The attached

Required

Find the equivalent expression

The interpretation of is to add the sequence:

n = 1,2,3,......35

This can be done using the following formula (Sum of n terms of an AP)

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]

Where n is the number of terms from 1 to 35; [tex]n = 35[/tex]

T1 is the first term; [tex]T_1 = 1[/tex]

Tn is the last term; [tex]T_n = 35[/tex]

[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex] becomes

[tex]S_n = \frac{35}{2}(1 + 35)[/tex]

[tex]S_n = \frac{35(1 + 35)}{2}[/tex]

From the list of given options;

Option A is correct

[tex]\frac{35(1 + 35)}{2}[/tex]

Answer:

33 ft

Step-by-step explanation:

We know that 3 ft = 1 yd

Multiply 11 yds by 3 ft/1 yd

11 yd * 3ft/1 yd = 33 ft

Answer:

33 feet

Step-by-step explanation:

1 yard = 3 feet

11 yards = 33 feet

Answer:

The answer would be 999 because 100 has 3 digits Hope You get a Good Grade And have a wonderful day!!

Hey there!

Let's look for some patterns here.

In the first triangle, we see that there are six dots in total.

In the second triangle, there are nine dots in total.

And, for the third one, we see that there are 12 dots in total.

So, we see that it is counting up by threes because there is one more added to each side.

This is an arithmetic sequence, which means that there is a pattern of adding or subtracting from a base over and over again. There is a specific formula for calculating a certain term in a sequence and you can find proofs of it out there on the internet, but here is the formula.

To find a certain number in a sequence (in our case, 200), you

STEP 1: Take that certain number and subtract 1

200-1=199

STEP 2: You multiply this by the common difference, which is what you add or subtract to make the series. Since we keep on adding 3, our common difference is 3.

199×3=597

STEP 3: You add the first term in the series. In our case, this is the number of dots on the first triangle, which is six.

597+6=603

Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.

Now you can find a certain term in an arithmetic sequence! Have a wonderful day! :D

Answer:

He wrote the rate incorrectly

Step-by-step explanation:

Camille's calculation

(48/$3.84)(?/s1)

48x/3.84

=$13.79

The correct calculation

(48/$3.84)(?/s1)

48x/3.84

=$12.50

To find the error in Camille's calculation

(48/$3.84)(?/s1)

48x/3.84

=$13.79

We will divide 48 ounces of jelly by $13.79 to get the rate

48/13.79

=$3.48

Therefore, Camille wrote the rate incorrectly by interchanging .84 after the decimal for .48

Answer:

The upper bound on the length of a randomly chosen nail from all nails manufactured by the company is 2.004 cm.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\bar x[/tex]

And the standard deviation of the sample means (also known as the standard error) is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

In this case the sample of nails selected is quite large, i.e. n = 100 > 30.

So, the sampling distribution of sample mean length of nails will be approximately normal.

Then according to the Empirical rule, 95% of the normal distribution is contained in the range,

[tex]\mu\pm 2\cdot \frac{s}{\sqrt{n}}[/tex]

Compute the upper bound as follows:

[tex]\text{Upper Bound}=\mu\pm 2\cdot \frac{s}{\sqrt{n}}[/tex]

                     [tex]=2+(2\times\frac{0.002}{\sqrt{100}})\\\\=2+0.0004\\\\=2.004[/tex]

Thus, the upper bound on the length of a randomly chosen nail from all nails manufactured by the company is 2.004 cm.

When rolling two six-sided dice, the theoretical probability of getting a sum of 7 is 6/36 = 1/6 since there are 6 ways to roll a 7 (see the list of sums below) out of 6*6 = 36 outcomes total.

The experimental probability is just whatever results you record when you roll the two dice yourself. This will vary person to person. At first, the experimental probability is likely not going to be close to what it theoretically should be. However, as the number of rolls increases, the experimental probability should slowly approach the theoretical value.

Answer:

1 surds

2 fraction

3 decimal

4 negative

5 positive

Answer:

171

Step-by-step explanation:

If five test scores have a mean of 90, then the total 5x90=450.  We already have the middle score (91) and the two top scores (94 and 94).  So the equation is 450-91-94-94=171

Answer:

1 3/8 lbs.

Step-by-step explanation:

3 1/4 x 1/2 = 1 5/8

1 5/8-1/4=

1 5/8-2/8=

1 3/8

Answer:

B) 29%

Step-by-step explanation:

First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.

Answer:

B. 29%

Step-by-step explanation:

Percentages can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

We have to find the percentage of the drive she has left.

Therefore, the part is the miles she has left and the whole is the total trip.

(miles left/total trip) * 100

First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.

total - miles driven

She has 850 total miles and has driven 600 miles.

850-600

250

She has 250 miles left.

Now we know the miles she has left.

(miles left/total trip) * 100

miles left = 250

total trip= 850

(250/850) * 100

Solve inside the parentheses first. Divide 250 by 800.

(0.29411765)*100

Multiply

29.411765

Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.

29

Therefore, she has about 29% of her trip left.

Answer:

ok

Step-by-step explanation:

Answer:

A) 90 degrees

B) 110 degrees

C) 78.5 in. sq.

D) 15.3 in. sq.

Step-by-step explanation:

A) 90 degrees by the two-tangent theorem

B) 360-90-90-70=110

C) A=pi r-squared

A=3.14x5x5

A=78.5

D) 70/360=0.1944

78.5x0.1944=15.3

Answer:

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Step-by-step explanation:

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

Answer:

[x]   f(x)

[-6]  13

[-3]   4

[0]   1

[3]   4

[9]   28

Step-by-step explanation:

f(0) = (1/3)(0^2)+1 = 1

f(3) = (1/3)(3^2)+1 = 4

f(9) = (1/3)(9^2)+1 = 28

Answer:

Below

Step-by-step explanation:

You could just graph the equation for the answers....

Here is algebraic method

 for Quadratic Equation  - 50p^2 +1700p - 12000

        the max profit occurs at p = - b/2a   = - 1700 / (2* -50) = 17 dollars

A ) 17 dollars

B)  use p =17 in the equation to find profit = 2450 dollars

C)    Set the equation = 0  and solve for p

     0 = -50p^2+1700p - 12 000

              Use Quadratic Formula with a = -50    b = 1700   c = 12000

                     to find price = 40 dollars