Determine whether the geometric series 0.1 +0.01 + 0.001 +... is convergent or divergent, and if it is convergent find its sum.

Your answer is 12, hope it helps.

Answer:

x=12

Step-by-step explanation:

3x+4=40

   -4.  -4

3x=36

/3.  /3

x=12

Hopes this helps please mark brainliest

Answer:

4m, 6m, 7m, 5m

Step-by-step explanation:

To find perimeter you just add the side lengths togeather.

Answer:

1/3

Step-by-step explanation:

yes, this is a proportion ie 8 is equal to 21 then 24 is 24 ×21 ÷8 = 63.

Answer:

bro said b so b

Step-by-step explanation:

According to the dataset, the mean of Dave’s nightly tips is $144.68

The mean of a dataset is the average value of the dataset

Below is how to calculate the mean of Dave’s nightly tips

Mean is calculated using:

Mean = sum of observations/Number of observations

The sum of observations is:

Sum = 100.85 + 166.57 + 135.74 + 148.12 + 113.94 + 190.13 + 235.31 + 102.57 + 124.02 + 142.40 + 108.60 + 110.50 + 163.82 + 183.01

Evaluate

Sum = 2025.58

The number of observations is 14.

So, the mean is:

Mean = 2025.58/14

Divide

Mean = 144.68

Hence, the mean of Dave’s nightly tips is $144.68

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Answer:

the answer is 3GB

Step-by-step explanation:

30-21=9 9/3 = 3

The system of linear equation which can be used to find the number of nickles n, and quarters q Anatoily has are n + q = 104  and 1/20(104 - q) + (1/4)q = 22there are total 20 nickels and 84 quarters Anatoily has.

According to the given question.

Total number of nickles and quarters Anatoily have is 104.

'n' represents the total numbers of nickles and 'q' represents total number of quarters. So, the linear equation which represents the given condition

⇒ n + q = 104

Since, 20nickles = 1 dollar

⇒ 1 nickle = 1/20 dollar

And, 4 quarters = 1 dollar

⇒ 1quarter = 1/4 dollar

Here, it is also given that combination of 104 nickels and quarters totaling $22.

So, we have an other linear equation $(1/20)n + $(1/4)q = $22

Form

n + q = 104

We can write

n = 104 - q

Substitute the value of n in $(1/20)n + $(1/4)q = $22

Therefore,

$1/20(104 - q) + $(1/4)q = $22

⇒ 5.2 - q/20 + q/4 = 22

⇒ 5.2 +  (-q + 5q)/20 = 22

⇒ 5.2 + 4q/20 = 22

⇒ 5.2 + q/5 = 22

⇒ q/5 = 22 - 5.2

⇒ q/5 = 16.8

⇒ q = 16.8 × 5

⇒ q = 84

Therefore,

n = 104 - 84

⇒ n = 20

Hence,  the system of linear equation which can be used to find the number of nickles n, and quarters q Anatoily has are n + q = 104  and 1/20(104 - q) + (1/4)q = 22there are total 20 nickels and 84 quarters Anatoily has.

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361πkm²

• the formula to find the area of a circle is A=πr²

The statement is true for any sets A and B.

The statement "A = A - B" is true if and only if every element of A is not an element of B.

The set A - B represents the elements that are in A but not in B. Therefore, A = A - B means that A contains no elements that are in B. In other words, A and B have no elements in common. This is equivalent to saying that every element of A is not an element of B.

Now, since A and B have no elements in common, it follows that B is a subset of A (i.e., B ⊂ A). This is because if an element is in B, it cannot be in A (as A contains no elements of B), and if an element is not in B, it must be in A. Similarly, since A contains no elements of B, it follows that 0 ≤ B ⊆ A. Moreover, since every element of A is not an element of B, it follows that 0 ≤ A ⊆ Bᶜ (the complement of B). Finally, since every set is a subset of itself, it follows that 0 ≤ ⊆ A.

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The statement "When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events" is true.

When two events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event. In such cases, the joint probability of both events can be found by multiplying their individual probabilities. Mathematically, this can be expressed as P(A ∩ B) = P(A) * P(B). This rule holds true for independent events and is a fundamental concept in probability theory.

Now, let's examine the other statements:

1. The probability of the union of two events can exceed one:

This statement is false. The probability of an event is always between 0 and 1, inclusive. When you consider the union of two events, the probability of their combined occurrence cannot exceed 1. It is possible for the sum of the individual probabilities of the two events to exceed 1, but the probability of their union will never be greater than 1.

2. When events A and B are mutually exclusive, then P(A ∩ B) = P(A) + P(B):

This statement is false. Mutually exclusive events are events that cannot occur at the same time. If events A and B are mutually exclusive, their intersection (A ∩ B) will be an empty set, and therefore, the probability of their intersection is 0 (P(A ∩ B) = 0). The correct statement for mutually exclusive events is P(A ∪ B) = P(A) + P(B), where P(A ∪ B) represents the probability of the union of events A and B.

3. The union of events A and B consists of all outcomes in the sample space that are contained in both event A and B:

This statement is false. The union of events A and B, denoted as A ∪ B, consists of all outcomes that belong to either event A or event B or both. In other words, it includes all outcomes that are in A, in B, or in both A and B. The intersection of events A and B (A ∩ B) represents the outcomes that are contained in both A and B.

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A continuous function that has a domain of [-3, 4]  will include all the values as -3,-2,-1,-0,-1,-2,3,4

What do you mean by continuous function?

In mathematics, a continuous function is one where a continuous variation of the argument results in a continuous variation of the function's value (i.e., a change without a leap). This indicates that there aren't any discontinuities, or sudden changes in value. More specifically, a function is continuous if it is possible to guarantee that its value will not vary significantly even with arbitrarily tiny changes to its parameter. Any function that is not continuous is said to be discontinuous.

It is given that a continuous function has a domain of [-3,4]

According to the definition of closed interval,

[-3,4] will contain all the elements between them and including them.

Therefore, [-3,4] will contain elements as -3,-2,-1,-0,-1,-2,3,4

Hence, a continuous function that has a domain of [-3, 4]  will include all the values as -3,-2,-1,-0,-1,-2,3,4

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Answer:

6/2

Step-by-step explanation:

(y2-y1)/(x2-x1)

4-(-2) over 1-(-1)

4+2 over 1+1

6/2

Relationship between the volume of the pyramid is one third the volume of the prism with the same base and equal height.

As given in the question,

Formula used to find the volume of the pyramid and prism is given by :

Volume of the pyramid = (1/3) × base area × height

Volume of the prism = Base area × height

If the base of the pyramid and prism is same and height of both pyramid and prism are equal then

Volume of the pyramid = ( 1/3) × Volume of the prism

Therefore, the volume of the pyramid is one third the volume of the prism with same base and equal height.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

Oki, mizuki here to help!

Hi there user, looks like you need help!

Anyways, option B is the correct answer!

Step-by-step explanation:

How to find average speed: distance/time

Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!

Hope this helped!

Step-by-step explanation:

we know that

Speed = Distance/ Time

so the correct answer is B

Answer:

Slope = 4 and y-intercept = 1

Step-by-step explanation:

→ To find the slope, look at the value before the x

4

→ To find the y-intercept, make x = 0 then the answer is the y-intercept

1

Answer:

X=-1/4 or y=1

Step-by-step explanation:

0=4x+1

-4x=1x=-1/4

y=4×0+1

y=1

They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

The length of the tail if it's half the insects total length as described in the task content is; 7/16 inches.

It follows from the task content that the length of the tail of the insect whose length is as given is to be determined.

Since the given length of the insect is; 7/8 inches.

Also, the tail of the insect is half the insects to tak length.

Consequently, the expression which holds true for the length of the tail is;

(1/2) × (7/8)

= 7/16.

The length of the insect's tail is therefore; 7/16 feet.

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Answer:

Adding .5 more quarts of broth would probably make the servings a little bigger so I'm sure the answer is 10.

Step-by-step explanation:

The more broth you add, the more servings there would be.

Adding .5 more doesn't do too much of a difference, but it would make the chicken soup bigger.

Answer:

the frist one is right

Step-by-step explanation:

Answer:

The simplest form is D) 5:2

Answer: 5:2

Step-by-step explanation:

HAVE A GOOD DAY!!!!!!

Answer:

D. -1/64

Step-by-step explanation:

F(x) = (1/4)^-3

This is 1/4 to the power of -3

= -(1/4)*(-1/4)*(-1/4)

= -(1*1*1)/(4*4*4)

= -1/64

Another way to calculate this is (-1/4)*(-1/4)*(-1/4). This is the same as (-1/4)³

When solved out the solution = -1/64

Therefore the correct answer to this question is the last option, which is d.

Thank you.

The area of the shaded part is 463.4π cm²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The area of the shaded part = area of circle - area of segment.

Area of circle = πr²

= 3.14 × 24²

= 576π cm²

Area of segment = area of sector - area of triangle

Area of sector = 120/360 × 576π

=576π/3

= 192πcm²

Area of triangle = 1/2absinC

= 1/2 × 24² sin120

= 249.42

= 79.4π cm²

Area of segment = 192π- 79.4π

= 112.6π

Area of the shaded part = 576π -112.6π

= 463.4 π

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Answer:

q

Step-by-step explanation:

Answer:

A = 11 , B = - 2

Step-by-step explanation:

(c)

we are solving the equation

h = (14 + 5t)(5 - t) with h = 72 , that is

(14 + 5t)(5 - t) = 72 ← expand left side using FOIL

70 - 14t + 25t - 5t² = 72 ( subtract 72 from both sides )

- 5t² + 11t - 2 = 0

compare with - 5t² + At + B = 0 , then

A = 11 , B = - 2

Answer:

Step-by-step explanation:

\(h=(14+5t)(5-t)\\h=70+25t-14t-5t^2\\h=-5t^2+11t+70\\\)

a)

\(\displaystyle\\a=-5\ \ \ \ \ b=11\ \ \ \ \ \ c=70\\t(h_{max})=\frac{-b}{2a} \\\\ t(h_{max})=\frac{-11}{2*(-5)} \\\\t(h_{max})=\frac{-11}{-10} \\t(h_{max})=1.1 \ seconds\)

b)

\(h_{max}=-5*1.1^2+11*1.1+70\\\\h_{max}=-6.05+12.1+70\\\\h_{max}=76.05\ m\)

c)

\(-5t^2+11t+70=72\\-5t^2+11t+70-72=72-72\\-5t^2+11t-2=0\)

Hence,

A=11       B=-2

Answer:

see explanation below

Step-by-step explanation:

1) 2011 sum

(6+8)100

14(100) = 1400 coins collected

2) 2015 difference

(6-4)100

2(100) = 200 coin difference

3) Henry is red. just look at the points where red is ABOVE blue

2011, 2014, 2015

4) you can take your answer from one and add it to the coins collected in 2010

1400 + (4+8)100

1400 + (12)100

1400 + 1200

2600 coins

5) Chris is in blue. just look at the points where blue is ABOVE red

3 years

but it asks months

so 3*12 and you get 36 months

1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²

The circle is a 2D geometrical figure, with no side or angle, and is made a collection of points.

Given that, 1) a circle with circumferences = 2πr and radius = r, 2) a circle having circumferences = 76 cm and 3) Jada is painting a table having diameter 37 in.

1) Assume the figure as a rectangle, (refer to attached figure)

We get, the length of it is πr and width is r.

And the area of a rectangle is = the Product of length and width.

So, we can conclude that the area of this rectangle is = πr×r = πr²

Therefore, by assuming the figure as a rectangle, we can explain why the area of a circle is πr²

2) circumferences = 2πr

2πr = 76

πr = 38

r = 38/3.14  (π ≈ 3.14)

r = 12.01 cm

Diameter = 2r

D = 2x12.01 = 24.20 cm

Area = πr²

= 3.14x12.01²

= 452.91 cm²

3) Diameter = 37 in

r = 37/2 = 18.5 in

Area = πr²

= 3.14x18.5²

= 1074.66 in²

Therefore, the area of the table is 1074.66 in²

Hence, the answers are 1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²

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Answer: It does not appear to show a function because the numbers are not multiples of each other

Step-by-step explanation: Hope this helps :-)

False. A sample is a subset of all possible data values for a given subject under consideration, not the set of all possible data values.

What is sample space?

The set of all potential outcomes for an experiment is referred to as the sample space S in a random experiment. The results of a random experiment, also known as sample points, are incompatible (i.e., they cannot occur simultaneously).

A sample is a portion of a larger set of data that is selected for analysis or representation. It is not the entire set of all possible data values for a given subject, but rather a smaller subset chosen for the purpose of study.

Sampling is important because it allows researchers to study and make inferences about a larger population with a smaller, more manageable amount of data.

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Answer:

p= -14

Step-by-step explanation:

3/7 p + 12 = 6

sove using inverse operations

3/7 p +12 = 6

-12           -12

3/7 p = -6

*7          *7

3p = -42

/3      /3

p = -14