Which of the following is an arithmetic sequence with a common difference of +3?
Question 6 options:

A)

4, 7, 10, 13, ...

B)

1, 3, 9, 12, ...

C)

17, 14, 11, 8, ...

D)

12, 15, 19, 24, ...

Answer:

alA, C, E would all be correct

Step-by-step explanation:

the explanation is quite simple just put them all together they all come out to 280.

Answer:

A, C, E

Step-by-step explanation:

If we separate 35 into tens and units then:

8 × 35 = 8 × (30 + 5)

We can use the distributive property to expand the above:

8 × (30 + 5) = (8 × 30) + (8 × 5)

We can also separate 35 into 20 + 15:

8 × 35 = 8 × (20 + 15)

Therefore, the expressions that are equal to 8 × 35 are A, C and E

Answer:

Correct option is C)

⇒  The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒  The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒  The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒  To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒  So from the given options 6cm is less than

11cm and greater than 3cm

∴  The length of the third side of triangle is 6cm

Step-by-step explanation:

Answer:

15/23

Step-by-step explanation:

What is probability?

Probability in simple terms is the likelihood of something happening.

We can say that probability = # of favorable outcomes ( what we want to happen ) / total # of outcomes ( simply what's expected to happen )

Here, we want to find the probability of drawing a red or yellow marble.

So # of favorable outcomes = drawing a red or yellow marble and total # of possible outcomes would be simply the total number of marbles

Given:

Given this we can determine what the # of favorable outcomes are as well as how many total marbles are.

So in total there are 23 marbles, so total number of outcomes = 23

And there are 6 red marbles and 9 yellow marbles, so number of favorable outcomes = 6 + 9 = 15

Plugging these values into the probability formula we get 15/23

So the probability of drawing a red or yellow marble would be 15/23

Answer:

P(red or yellow marble)= 15/23

Step-by-step explanation:

If we have 23 marbles in the bag, 6 red and 9 yellow, we add the 6 and 9 to get 15.  So there are 15 marbles that are red/yellow out of the 23 in the bag.  This means the probability is 15/23. Hope this helps <3

Answer:

16.12 mi²

Step-by-step explanation:

The formula for the area of a trapezoid is A = 1/2h([tex]b_{1} +b_{2}[/tex]), where [tex]b_{1}[/tex] stands for base 1, and [tex]b_{2}[/tex] represents base 2. Plugging in the given values, we have A = 1/2(3.1)(8.3 + 2.1). Now we can solve.

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

A = 1/2(3.1)(8.3 + 2.1)

1/2(3.1)(10.4)

1.55(10.4)

= 16.12 mi²

hope this helps!

1) Radius: 2√7

2) Center: (10, 5)

3) Circumference: 33.25

Circle formulae:

where (h, k) is the center coordinates, r is radius

Rewrite the equation into standard form:

Identify following of the circle:

In order to find the Circumference of circle:

radius: 2√7

General equation

Now

r²=28

So

Circumference

Answer:

11a.  3,117

11b. 33

Step-by-step explanation:

11a. -165 + 3217 + 65

The easiest way to do this would be,

-165 + 65 = -100 than -100 + 3217

-100 + 3217 is the same as 3217 - 100

-100 + 3217 = 3,117

11b. 173 + (-43) + (-97)

this is the same as 173 - 43 - 97

173 - 43 = 130 and 130 - 97 = 33

Answer:

A. 4+5/2= 6,5 mean

Step-by-step explanation:

I don't get the second question. Sorry! But at least I tried to help part A.

Answer:

Part A Answer: 5 Part B Answer: 1.25

Step-by-step explanation:

Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.

Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!

Answer: -92

Step-by-step explanation:

discriminant formula: [tex]b^2-4ac[/tex]

[tex]f(x) = 4x^2+2x+6[/tex]

a = 4

b = 2

c = 6

[tex]b^2-4ac\\2^2-(4(4)(6))\\4-(96)\\4-96\\-92[/tex]

Since the discriminant equals -92, and -92 is less than 0, we know the equation will not have real solutions

Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:

[tex]nPr = \frac{14!}{11!} = 2184[/tex].

The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]nPr = \frac{n!}{(n-r)!}[/tex]

In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:

[tex]nPr = \frac{14!}{11!} = 2184[/tex].

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Answer:

$224.35

Step-by-step explanation:

The game is originally $249.

It's discounted by 15%, meaning it went down by 15%. 100% - 15% = 85%, so the new price is 85% of what it was before.

The sales tax is 6%, meaning the final price goes up by 6%. This means it would be 106% of what it was before.

85% = 0.85 of something

106% = 1.06 of something

[tex]249 \times 0.85 \times 1.06 = 224.349[/tex]

Now, we just round it to the nearest cent, which would give us $224.35

Answer:

C

Step-by-step explanation:

28% of 25900 gives you 7252 and it is asking approx. and that is 7200

Based on the information provided, the sum of all the labeled angles is 235° (option b).

To calculate the sum of all the labeled angles we must add the different values of each labeled angle as shown below:

80° + 92° + 40° + 23° = 235°

According to the above, it can be inferred that the correct option is B because the result of the sum of the values coincides with this sum.

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The decimal value is approximate.

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

Explanation:

The face cards are Jack, Queen, King.

We have 3 face cards for each suit, and 4 suits, giving 3*4 = 12 face cards out of a 52 card deck.

The first card is a king, which is not put back. This means have 12-1 = 11 face cards left out of 52-1 = 51 cards left.

The probability of getting another face card is 11/51 = 0.2157 approximately

This is about a 21.57% chance

Note: if the first card was put back, or replaced with an equal copy, then the answer would be 12/52 = 3/13 = 0.2308 = 23.08%

Answer:

The probability of choosing a face card for the second card drawn if the first card was a king, drawn without replacement, is 11/663 or .0166.

Step-by-step explanation:

There are 52 cards and 12 of these are face cards.

The probability of drawing a king for the first card is the number of kings divided by the total number of cards:

The probability of drawing a face card after the first card was drawn without replacement is:

Since these events are dependent (drawing without replacement), we can use this basic probability formula:

This formula tells us the probability of first drawing the king card, then drawing a face card afterward since 2 cards are being drawn. We must calculate the probability of both of these events occurring one after the other.

P(A) refers to the probability of getting a king on the first draw, 4/52, and P(B) refers to the probability of getting a face card on the second draw, 11/51.

Let's multiply these probabilities together.

The probability of choosing a face card for the second card drawn, if the first card drawn without replacement was a king, is 11/663 or .0166.

The number is 1.

when a number multiplies itself the result is said to be the square of that number.

Analysis:

The square of 1 remains 1.

if you subtract the square of 1 from 1, you will have 0.

and zero is the greatest difference in this regard because every other number gives a negative result.

Example, 3 is a number, the square of 3 is 9. and 3 - 9 = -6 smaller than 0.

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0.5 is the number.

Let the number be x,

When this number is subtracted from its square

x - x²

In order to find the greatest number, use vertex formula: x = -b/2a

Identify the following: a = -1, b = 1, c = 0

Hence solve, x = -1/2(-1) = -1/-2 = 1/2

So, the number is 0.5

Difference: (0.5) - (0.5)² = 0.5 - 0.25 = 0.25

Answer:

a) 3 to 4

b) 3 : 4

[tex]\sf \dfrac{girls }{boys} = \dfrac{3}{4}[/tex]

Notice that girls = 3, boys = 4

So, Ratio of girls to boys can be rewritten as 3 : 4 and 3 to 4

Fractions are usually represented in ratio like

So

here

The prices would have risen a total of 192000% in one year.

The percentage rate of inflation is = 16000% per month

Therefore for one year is

= 16000× 12( 12 months makes a year)

= 192000%

Therefore, prices would have risen a total of 192000% in one year.

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Answer:

2-and-a-half pounds

10 / 4 = 2.5

Answer: yes figure b is a scale copy of figure a

Step-by-step explanation:

figure A: 10, 10, 5 which can simplify to 2, 2, 1 while keeping the same ratio

Answer:

1/8 for everything

Step-by-step explanation:

add all together and thats the probability

Hi!

The purple triangle is the pre-image.

See those little quotation marks on the letters of the blue triangle?

When we say the name of the triangle, we would say triangle ABC prime, meaning it's the post image, because it's like a copy of the other one, hence the quotes.

Answer:

y=x-3

Step-by-step explanation:

Slope intercept form: y=mx+b

x-y=3

-y=-x+3

y=x-3

Answer:108

Step-by-step explanation:

Answer: 108 minions

Step-by-step explanation:

Answer:

36+9r

by multiplying 9 &4 you get with 36. countinue multiplying and you also get 9r

Step-by-step explanation:

hope this helps

The sum of the opposite angle of the Isosceles trapezoid is supplementary. The value of x from the given diagram is 10

The sum of the opposite angle of the Isosceles trapezoid is supplementary. According to the theorem;

14x + 3x + 10 = 180

17x = 180 - 10
17x = 170

Divide both sides by 17

17x/17 = 170/17

x = 10

Hence the value of x from the given diagram is 10

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Answer:

#1 is 5

#2 is 4

#3 is 3

#4 is 6

Step-by-step explanation:

I used a graphing calculator called Desmos.

Answer: -$0.5

Step-by-step explanation:

event        Probability

+ $2                 1/6

+ $4                 1/6

+ $6                 1/6

- $5                 3/6

E(X) = (2*1/6)+(4*1/6)+(6*1/6)+(-5*3/6) = -$0.5

Option - A) The skin fold test .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when you look, you see the y value is always bigger by 2 than the x value.

so, the function is clearly to take the x value, add 2 to it and deliver this as the functional result (y value).

only A fits.

Given that a ∇ b = 4, it doesn't matter what values you choose for a and b, the result of the ∇ operation is always 4.

So, unless your question is missing some additional details, we have

(4 ∇ 3) ∇ 6 = 4 ∇ 6 = 4

and

(7 ∇ 2) ∇ 5 = 4 ∇ 5 = 4