which is greater? 2/3 or 3/4?​

To determine whether the geometric series ∑(n=0 to ∞) (√(1/7))^n is convergent or divergent, we can examine the common ratio (r) of the series.

The given series has a common ratio of (√(1/7)). For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1.

In this case, |√(1/7)| = √(1/7) ≈ 0.377, which is less than 1. Therefore, the geometric series is convergent.

To find the sum of the geometric series, we can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r),

where 'a' is the first term and 'r' is the common ratio.

In this case, the first term 'a' is (√(1/7))^0 = 1, and the common ratio 'r' is √(1/7).

Substituting these values into the formula, we have:

Sum = 1 / (1 - √(1/7)).

To simplify this expression, we can rationalize the denominator:

Sum = 1 / (1 - √(1/7)) * (1 + √(1/7)) / (1 + √(1/7)).

Multiplying the numerators and the denominators, we get:

Sum = (1 + √(1/7)) / (1 - (1/7)).

Simplifying further:

Sum = (1 + √(1/7)) / (6/7).

Finally, multiplying the numerator by 7, we obtain the sum of the geometric series:

Sum = 7(1 + √(1/7)) / 6.

Therefore, the sum of the given geometric series is 7(1 + √(1/7)) / 6.

Learn more about Geometric Series here -: brainly.com/question/12725407

#SPJ11

Answer: Rotation

Step-by-step explanation: The shape is not moving or reflecting in any way. It is just rotating.

Answer:

x=2

Step-by-step explanation:

The required greatest common factor in the given expression is 3x²y.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.

here,
Given expression,
= 18x⁴y+3x³y²-39x²y³+12x²y⁴
Taking common 3x²y from every term,
= 3x²y(6x² + xy - 13y² + 4y³)
Where 3x²y id the greatest common factor,

Thus, In terms of the given expression 3x²y is the greatest common factor.

Learn more about grates common factors here:

https://brainly.com/question/11221202
#SPJ1

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

for similar questions on distance.

https://brainly.com/question/26046491

#SPJ8

Answer:

1/2

Step-by-step explanation:

it goes up one and over two so the slope is 1/2

Hope this helps! Have a good rest of your day!

Answer: 3 fluid ounces

Step-by-step explanation:

The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.

To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be: = 70% of 10 ounces

= 7/10 × 10

= 7 fluid ounces.

Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:

= 10 ounces - 7 ounces

= 3 ounces.

The regular bottle of shampoo holds 3 fluid ounces.

The option C represent the correct inequalities.

What is inequality ?

Inequality refers to the condition where there is an unequal distribution of resources, opportunities, and benefits among individuals or groups in a society. This can be based on various factors, such as income, wealth, race, gender, ethnicity, education, and social class.

Inequality can take many forms, ranging from economic inequality where some individuals or groups have much more wealth or income than others, to social inequality where some groups face discrimination or exclusion based on their identity.

Inequality can have negative consequences for individuals and society as a whole, including reduced social mobility, increased poverty, and social unrest. Addressing inequality often involves implementing policies and initiatives that aim to level the playing field and provide equal opportunities for all individuals, regardless of their background or circumstances.

Inequality can be represented using various mathematical symbols and expressions, depending on the type of inequality being discussed. Here are some examples:

For a simple inequality comparing two numbers, we use the following symbols:

Greater than: >

Less than: <

Greater than or equal to: ≥

Less than or equal to: ≤

To know more about inequalities visit :-

https://brainly.com/question/24372553

#SPJ1

Answer:

$16 for 2 hours

Step-by-step explanation:

3 (x) + 10

3 (2) + 10

6 + 10

16

3TT + 10?

Answer: He spent $6 for leaving his car in the parking lot for 2 hours. He payed $66 for leaving his car in the parking lot for tt hours. In total he spent $82.

Step-by-step explanation: $3x2=$6     $3x22=$66     $10+$6+$66=$82

\(\text{Solve:}\\\\1 < x + 3 < 4\\\\\text{Subtract 3 from all 3 sides}\\\\-2<x<1\\\\\boxed{-2<x<1}\)

Answer:

Henry is correct

Step-by-step explanation:

add 4 to each sides of the equation

2x=16

Divide each side of the equation by 2

X=8

2x - 4 = 12

add 4 to both sides:

2x - 4 + 4 = 12 + 4

2x = 16

divide both sides by 2:

2x/2 = 16/2

x = 8

so Henry is correct.

Answer:

pakyuu king Ina mu tarantado mag aral Ng mabuti pakyuu Alis ka Dito HAHAHA bobo until tanga tarantado

Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Answer:

64 people

Step-by-step explanation:

if 1/4 of a bus is 16, do 16x4 and u will get 64

Congruent triangle proofs can be challenging, but with a clear understanding of congruence criteria and the properties of triangles, you can navigate through them effectively.

In a congruent triangle proof, the goal is to show that two triangles are congruent, meaning they have the same size and shape. This can be proven using different congruence criteria, such as Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), or Hypotenuse-Leg (HL) criteria.

To prove congruence using a specific criterion, you need to identify and compare the corresponding sides and angles of the triangles. This involves using known information, such as given side lengths, angles, or relationships between them.

You will also use properties of triangles, such as the Triangle Sum Theorem, the Congruent Triangles Postulates (SSS, SAS, ASA, AAS), and the Transitive Property of Congruence, among others. It's important to carefully label the given information, state your reasoning clearly, and provide step-by-step explanations to justify each statement or conclusion in the proof. Practice identifying congruent parts, applying congruence criteria, and using logical deductions to build coherent proof.

Learn more about congruent triangles here: brainly.com/question/30095896
#SPJ11

Complete question - How to proof the congruency of triangles?

Answer:

y=4/3x+4

Step-by-step explanation:

Answer:

  -x^2 +8x -6

Step-by-step explanation:

Distribute the minus sign and collect terms.

  (3x -8) -(x^2 -5x -2)

  = 3x -8 -x^2 +5x +2

  = -x^2 +8x -6

Biases in the nineteenth century influenced gender inequalities in research. Present-day biases continue to perpetuate societal inequalities.

This bias influenced researchers by shaping their perspectives and expectations, leading them to interpret and design experiments in ways that reinforced preconceived notions about women's abilities and limitations. It often resulted in biased methodologies, selective reporting of results, and the exclusion of data that contradicted the hypothesis.

In present-day society, we still encounter various biases that affect different groups of people. One example is gender bias, which manifests in unequal treatment and opportunities based on gender. Women continue to face challenges in areas such as career advancement, wage gaps, and representation in leadership positions. Another example is racial bias, which leads to disparities in areas such as criminal justice, education, and employment opportunities for marginalized racial and ethnic groups.

These biases can shape societal norms, influence decision-making processes, and perpetuate systemic inequalities. It is important to recognize and address these biases to create a more equitable and inclusive society.

learn more about "society":- https://brainly.com/question/24116605

#SPJ11

The correct answer is D. The quadratic function has no real zeros if a > 0 and k>0 or a < 0 and k<0. This is because in the vertex form y=a(x- h2) + k, the value of k determines the vertical shift of the graph, and the value of a determines the direction of the graph. If a>0 and k>0, the graph will be shifted up and open upward, meaning it will not cross the x-axis and therefore have no real zeros.

Similarly, if a<0 and k<0, the graph will be shifted down and open downward, also not crossing the x-axis and having no real zeros.  The vertex form of a quadratic function is y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola. The value of a determines the shape of the parabola: if a > 0, the parabola opens upwards, and if a < 0, the parabola opens downwards.

For a quadratic function to have no real zeros, it must not intersect the x-axis. This means that the vertex of the parabola must be above or below the x-axis, depending on the direction of the opening.

Read more about   quadratic here:https://brainly.com/question/1214333

#SPJ11

Answer:

₦28.5

Step-by-step explanation:

\(interest = \frac{600 \times 1.5 \times 3 \frac{1}{6} }{100} \)

Answer:

5.5, 6, and 7.25

Step-by-step explanation:

3 numbers equal 18.75 tells us:

a + b + c = 18.75, where a, b, and c are the 3 unknown numbers respectively.

Next, we know that the range is 1.75. Let us consider that c is the greatest value and a is the smallest value. Thus, we can write

c - a = 1.75

Lastly, we know that there is a median of 6. This tells us that the "middle" number (which in this case would be b if c is greatest and a is smallest) should be 6.

b = 6.

Substituting we can write,

a + c + 6 = 18.75

a + c = 12.75

Also,

c - a = 1.75

c = a + 1.75

Substituting back into the other equation we get,

a + ( a + 1.75) = 12.75

2a + 1.75 = 12.75

2a = 11

a = 5.5

Now, we can find the last number.

c = (5.5) + 1.75

c = 7.25

Plug all 3 numbers back into the original equation to verify if our numbers are correct:

5.5 + 6 + 7.25 = 18.75

Thus, we know we are correct.

⭐ Please consider brainliest! ⭐

Answer:

D. 160

Step-by-step explanation:

\( L_{1} \) does not belong to the regular language class.

The language \( L_{1}=\left\{01^{a} 0^{a} 1 \mid a \geq 0\right\} \) consists of strings with a single '01', followed by a sequence of '0's, and ending with a '1'.

The language \( L_{1} \) cannot be described by a regular expression and is not a regular language. In order for a language to be regular, it must be possible to construct a finite automaton (or regular expression) that recognizes all its strings. In \( L_{1} \), the number of '0's after '01' is determined by the value of \( a \), which can be any non-negative integer. Regular expressions can only count repetitions of a single character, so they cannot express the requirement of having the same number of '0's as '1's after '01'. This makes \( L_{1} \) not regular.

For more information on class visit: brainly.com/question/33468733

#SPJ11

Answer:x

=1.023211

Step-by-step explanation:

Answer:

\( \huge{ \fbox{ \sf{ - 2y - 30}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: (4y - 10) - (6y + 20)}}\)

\( \text{Step \: 1 }\: : \sf{While \: subtracting \: sign \: of \: each \: term \: of \: the \: second \: expression \: changes}\)

\( \hookrightarrow{ \sf{4y - 10 - 6y - 20}}\)

\( \text{Step \: 2 \: : \sf Collect \: like \: terms}\)

\( \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}\)

\( \hookrightarrow{ \sf{4y - 6y - 10 - 20}}\)

\( \hookrightarrow{ \sf{ - 2y - 10 - 20}}\)

\( \text{Step \: 3 \: : \sf{Calculate}}\)

\( \underline{ \text{Remember!}} : \sf{The \: negative \: integers \: are \:always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}\)

\( \hookrightarrow{ \sf{ - 2y - 30}}\)

Hope I helped!

Best regards! :D

~\( \sf{TheAnimeGirl}\)

560

1) PEMDAS so 2+14=16

2)55/11=5

3)5x7=35

4)35(16)=560

Answer:

k= 7

Step-by-step explanation:

if m is the midpoint of fm, and fm= 2k-5. and fg=18. then you can do: 2k-5+2k-5=18 and solve for x

The measure of FM is 9 and MG is 9.

Given,

M is the midpoint of FG.

FM = 2k - 5 and FG = 18.

We need to find the measure of MG.

If there is a midpoint between two points the midpoint will divide the distance between the two points into two equal halves.

AB is the distance between two points A and B

If C is the midpoint then,

AC = CB = AB / 2

We have,

FG is a line.

M is the midpoint of this line FG.

Now,

F______M______G

Since M is the midpoint we have,

We need to get,

FM = MG = FG/2

FG = FM + MG

We need to find the k value.

FM = FG/2

2k - 5 = 18/2

Multiplying 2 on both sides

4k - 10 = 18

Adding 10 on both sides

4k - 10 + 10 = 18 + 10

4k = 28

Dividing both sides by 4

k = 28/4 = 7

k = 7.

So,

FM = 2k - 5 = 2 x 7 - 5 = 14 - 5 = 9

Since M is the midpoint

FM = MG

We have,

MG = 9

We can see that,

FG = FM + MG

18 = 9 + 9

18 = 18

Thus the measure of FM is 9 and MG is 9.

Learn more about finding measures of a line between two points here:

https://brainly.com/question/617690

#SPJ2

Answer:

see explanation

Step-by-step explanation:

Substitute the value of x into y = x² and y = \(2^{x}\)

x = 1

y = 1² = 1 and y = \(2^{1}\) = 2

x = 2

y = 2² = 4 and y = 2² = 4

Thus

x      y = x²      y = \(2^{x}\)

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

0        0            1

1          1             2

2         4            4

Answer:

Long solution

Step-by-step explanation:

(a) Let the height of the cone be h cm. The volume of the hemisphere is given by (1/2)(4/3)πr³ = (2/3)πr³. The volume of the solid is the sum of the volumes of the hemisphere and the cone, which is (2/3)πr³ + (1/3)πr²h. Since the volume of the hemisphere is one third of the volume of the solid, we have:

(2/3)πr³ = (1/3)πr²h

Simplifying, we get:

2r = h

Therefore, h is expressed in terms of r as h = 2r.

(b) The slant height of the cone can be found using the Pythagorean theorem. Let l be the slant height, then we have:

l² = r² + h²

Substituting h = 2r, we get:

l² = r² + (2r)² = 5r²

Taking the square root of both sides, we get:

l = r√5

Since k is an integer, we can write:

l = Vk cm, where k is an integer

Comparing the two expressions, we get:

Vk = r√5

Therefore, the value of k is k = ⌊r√5⌋, where ⌊x⌋ denotes the largest integer less than or equal to x.

(c) The total surface area of the solid is the sum of the curved surface area of the cone, the curved surface area of the hemisphere, and the area of the circular base of the cone. We have:

Curved surface area of the cone = πr l = πr(r√5) = πr²√5

Curved surface area of the hemisphere = 2πr²

Area of the circular base of the cone = πr²

Therefore, the total surface area of the solid, in cm², is given by:

πr²√5 + 2πr² + πr² = (πr²)(√5 + 3)

Answer:

y = 2.5(42)

Step-by-step explanation: