Arithmetic and geometric series -Find the sum of the first 50 terms of the following series, to the nearest integer.
13,21,29,...

Answer:

70+3.5v = 105

v = 10

Step-by-step explanation:

70+3.5v = 105

3.5v = 35

v = 10

The equation that represents the number of visits Aria will be 105 = 3.5v + 70. Then the number of visits Aria must make to earn a free movie ticket will be 10.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Aria has a points card for a movie theater.

Then the equation that represents the number of visits Aria will be

105 = 3.5v + 70

Simplify the expression, then we have

105 = 3.5v + 70

3.5v = 105 - 70

3.5v = 35

v = 10

More about the linear equation link is given below.

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B) Answer is 336

Explanation

There are 8 ways for a President to be selected, and have chosen a president there are 7 ways to choose a Vice (from the remaining people). Then, six ways to choose a secretary.

Then, 8*7*6 = 336.

I'm not 100% sure about this as I have used this method for 9 people and two roles, but I'm rather confident the same rules apply.

Answer:

Now calculate BA:

d11= 1

d12= 0

d21= 0

d22= 1

Based on these results, you can conjecture that multiplying a matrix by its inverse IS COMMUTATIVE

Step-by-step explanation:

Egde

Answer:

Lets start:

Picture 1:-

1. Length of EH= 12cm

2. Angle G= 55 degrees

Picture 2:-

1. Scale factor= 1/4 (I'm not sure about this but this is what I think it is ;-;)

2. Value of y= 28 cm

Picture 3:- [Picture 3 is cropped so I'm guessing its the last one so imma answer those questions :D]

1. Scale factor= 5 (Again I'm not sure but its my best guess)

2. Value of z= 5

Picture 4:-

1. Scale factor= 4 (I'm pretty sure you know that my scale factor answers are guesses so yea ;-;)

2. Value of b= 12

Step-by-step explanation:

Since i can't add links in answers you can watch:

Similar figures

-By The Organic Chemistry Tutor

It'll help you understand how we solve these questions

Well anyways i hope this clears your concepts :D

Answer:

Step-by-step explanation:

EH is 12cm as the shape has been enlarged by scale factor two (all sides have been multiplied by 2).

Angle G remains the same at 55 degrees.

PART A

Scale factor for the triangle = 1/4

Value of y = 28cm

3) z = 5, scale factor = 5

SIMILAR RECTANGLES:

Scale factor = 4

Side b = 12cm

Hope these answers work out for you

Answer:

m<6 = 37°

Step-by-step explanation:

m<2 and m<6 are corresponding angles, so they have the same measure according to the corresponding angles postulate. Since m<2 is 37°, m<6 would also be 37°.

Answer:

Step-by-step explanation:

All the sides:

178+100+200+220+160+320+178+360

=1716 cm

The requried surface area of the given prism is 1716 square centimeters.

The surface area is the total area that covers the surface of a three-dimensional object. It is calculated by adding up the area of all the faces or surfaces of the object. For example, the surface area of a cube can be calculated by adding up the areas of all six faces.

Here,
The surface area of the given prism is given as:

Surface area = 5*20 + 10*20 +20*8 + 11*20+2[5*10+16*8]+16*20+20*18

Surface area = 1716 square centimeters

Thus, the requried surface area of the given prism is 1716 square centimeters.

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Answer:

D.

Step-by-step explanation:

12.24 + 16.08 = 28.32. 42 - 28.32 = 13.68.

Answer:

9

Step-by-step explanation:

The hundredths place is the 2 one from the decimal point, which is 9.

Answer:

I would say C: 14.7

Step-by-step explanation:

it just sounds right.

Answer: The answer is false!

Step-by-step explanation: You may think its true but NO, its not true!

Answer: false

Step-by-step explanation:

the correct answer is a dialect of spanish, chilean spanish.

Answer:

Step-by-step explanation:

Sindy paid $5.44 in sales tax, and her total price was $73.44.

Sales Tax:  68 x .08= 5.44

Final Price:  68 + 5.44= 73.44

Answer:

To find sales tax, you need to find the percent of;

$68.00 * 8%

$68.00 * 0.08

= $5.44

$5.44 is the sales tax

Add the sales tax to the original amount:

$68.00 + $5.44 = $73.44

So the final price including tax is equal to $73.44.

Answer:

5.906 x 10^9

Step-by-step explanation:

(6.25 x 10^9) − (3.44 x 10^8).

step 1: make the exponents have common value

Move decimal point of 3.44 to the left once and add 1 to it's exponents.

that is 3.44 x10^8 becomes 0.344 x 10^9

= 6.25 x 10^9 - 3.44 x 10^8

= 6.25 x 10^9 - 0.344 x 10^9

step 2: bring out the common factor 10^9 since the exponents are the same.

Also, subtract the decimal numbers.

= (6.25 -0.344) 10^9

6.25 - 0.344 = 5.906

Therefore, the result is 5.906 x 10^9.

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.

Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:

\(\large \frac{1}{3} \times 15 = 5\)

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

Answer:

85 degrees

Step-by-step explanation:

Answer:

55 6/9 is your answer.

Step-by-step explanation:

32 2/9 + 23 4/9 = 55 6/9.

Answer:

Option C; -8, 5, 6, |-7|, 8

Step-by-step explanation:

To start off, we can go ahead and eliminate options A and D as we know that 8 is greater than 6 and -8 is smaller than 5. Now we have to look at what |-7| is!

So, |-7| is asking for the absolute value of -7. Absolute value is a real number without regard to its sign.

Since we are looking for -7 without the sign, we drop our negative sign (-) and just have 7! We know that option 3 must be right since -8 is less than 5, 6, 7, and 8!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

p = 40h

Step-by-step explanation:

Answer:

\(\huge\boxed{\bf\:0.5 \: dollars }\)

Step-by-step explanation:

Given,

We need to find the unit price OR the price of 1 plastic cup.

To find this, we need to divide the cost of the total nunber of cups bought by the number of cups bought. Then,

Cost of 1 cup

= Cost of 9 cups/9

= 4.51 / 9

= $ 0.5 (rounded price)

\(\rule{150}{2}\)

Answer:

50 cents or $0.50

Step-by-step explanation:

c = the cost of each plastic cup, the unit price.

9c = 4.51

/9     /9

c = $0.50 per cup

Each cup costs 50 cents or $0.50

Hope this helps!

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

Answer:

Step-by-step explanation:

y = mx + b

0 = 300,10 + 240 =550  

Answer:

600 apples

Step-by-step explanation:

No. of apples eaten = 10

One minute = 60 seconds

No. of apples eaten in one minute = 10 * 60

= 600 apples

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

Answer:

I would add a line across the country and put the length of it

Step-by-step explanation:

It allows it to show the length of the country without allowing it be assumed that it is a like 10x larger country.

The probability of rolling a sum of 10 with two dice is 1/12.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that two dice are rolled and find the probability of a sum of 10.

The sample space of the event of rolling two dice is

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

      (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

      (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

      (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

      (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

      (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

The total possible outcomes is 36.

The favorable outcomes that is the outcomes where the sum is 10 is

(1, 4), (2, 3), (3, 2).

The number of favorable outcomes are 3.

To find the probability of rolling a sum of 10 with two dice, write the sample space and then determine the number of favorable outcomes that is the outcomes where the sum is 10 and the total number of possible outcomes.

The formula to find out the probability of any event is:

\(\text{P(event)} = \dfrac{(\text{number of favorable outcomes})}{\text{total number of possible outcomes}}\)

By using the data and formula, the probability of rolling a sum of 10 is,

\(\text{P(event)} = \dfrac{(\text{number of favorable outcomes})}{\text{total number of possible outcomes}}\)

\(\text{P(rolling a sum of 10)} = \dfrac{3}{36}\)

On dividing both numerator and denominator by 3 gives,

\(\text{P(rolling a sum of 10)} = \dfrac{1}{12}\)

Hence, the required probability of rolling a sum of 10 with two dice is 1/12.

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The probability that you would roll a sum of 10 if you rolled two dice is 1/12.

We need to consider all the possible outcomes and count the favorable outcomes to determine the probability of rolling a sum of 10 when rolling two dice.

When rolling two dice, each die has six possible outcomes, ranging from 1 to 6. To find the total number of outcomes, we multiply the number of outcomes for each die: 6 * 6 = 36.

Next, we need to count the number of favorable outcomes, which are the combinations of two dice that result in a sum of 10. These combinations include:

1. Rolling a 4 on the first die and a 6 on the second die: (4, 6)

2. Rolling a 5 on the first die and a 5 on the second die: (5, 5)

3. Rolling a 6 on the first die and a 4 on the second die: (6, 4)

There are three favorable outcomes.

Therefore, the probability of rolling a sum of 10 when rolling two dice is:

Probability = (Number of favorable outcomes) / (Number of total outcomes) = 3/36 = 1/12.

Hence, the probability is 1/12.

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Answer:

1:2

Step-by-step explanation: 54 divided by 27 is 2 so 1 lollipop is 2 candy bars!

Answer:

it is 82%

Step-by-step explanation: