use sigma notation to write the sum 9/(i+1)+9/(i+2)+9/(i+3)+....+9/(i+14)

Answer:

17

Step-by-step explanation:

10y+7x-29=10y+5x+5

7x-29=5x+5

2x-29=5

2x=34

x=17

Answer:

x=826

Step-by-step explanation:

Recall that the formula for the volume of a sphere of radius R is given by:

Notice that you are given the diameter of the sphere, and not the radius, so make sure we divide by two the measure of the diamtere in order to find the radius:

Radius = 4.2 cm / 2 = 2.1 cm

So we use this value in the above formula to find the volume:

So we round the answer as requested to one decimal as shown below

Volume = 38.8 cm^3

Answer:

C

Step-by-step explanation:

The x values will continue and never stop thats why they start at negative infinity and end at positive infinity.

(If you want to see it on a graph put the equation on desmos)

Answer:

A

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

It's in the middle of 0 and 1 (-1/2) on the x axis and for it to be in the middle of the two points the mid point stays on the x axis thus the y value (the value that goes up and down) is 0.

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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The main answer to the question "How long will it take for your money to double?" is C) 9 years.

Compounded interest refers to the process of earning interest on both the initial amount of money deposited and any previously earned interest. In this case, the money in the account earns a 6% interest rate, compounded monthly. To determine how long it will take for the money to double, we can use the concept of the rule of 72.

The rule of 72 is a simplified formula used to estimate the time it takes for an investment to double at a given interest rate. By dividing 72 by the interest rate, you can approximate the number of years it will take for the initial amount to double.

In this scenario, the interest rate is 6%. By dividing 72 by 6, we get 12. This means that the money will double approximately every 12 years. However, since the question asks for the answer to the nearest year, we need to consider that compounding occurs monthly.

Since interest is compounded monthly, we need to adjust the result by dividing by 12 (the number of months in a year). By doing so, we find that the money will double approximately every 1 year. Therefore, it will take approximately 9 years for the money to double.

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Answer:

5x-9

Step-by-step explanation:

If Bill has 9 coins less then 5 times Nancy's coins, the number of his coins is 5x-9.

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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Answer:

should be 27 which is B so

Answer:

Therefore the area of the kitchen counter is 21 square feet

Step-by-step explanation:

Area of the sink = 2 x 3

= 6 square ft.

Area of the kitchen counter = 9 x 3 -(6)

=27 - 6

= 21 square ft.

The area of the kitchen counter is 21 square ft.

Answer:

Therefore the area of the kitchen counter is 21 square feet

Step-by-step explanation:

Area of the sink = 2 x 3

= 6 square ft.

Area of the kitchen counter = 9 x 3 -(6)

=27 - 6

= 21 square ft.

The area of the kitchen counter is 21 square ft.

Answer:

DE = 1.2

Explanation:

4 / 2.4 = 1.666666667

2 / 1.666666667 = 1.2

Answer:

a)  DE = 1.2 units

b)  AC = 5 units

Step-by-step explanation:

If two triangles are similar, their corresponding angles are the same size and their corresponding sides are in the same ratio.

Therefore, if triangle ABC is similar to triangle DEF then their corresponding sides are in the same ratio:

\(\implies \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\)

From inspection of the given diagram::

Therefore:

\(\implies \dfrac{2}{DE}=\dfrac{4}{2.4}=\dfrac{AC}{3}\)

a)  To find the length of segment DE:

\(\implies \dfrac{2}{DE}=\dfrac{4}{2.4}\)

\(\implies 2 \times 2.4 = 4 \times DE\)

\(\implies 4.8=4DE\)

\(\implies DE=\dfrac{4.8}{4}\)

\(\implies DE=1.2\; \sf units\)

b)  To find the length of segment AC:

\(\implies\dfrac{4}{2.4}=\dfrac{AC}{3}\)

\(\implies 4 \times 3=2.4 \times AC\)

\(\implies 12=2.4AC\)

\(\implies AC=\dfrac{12}{2.4}\)

\(\implies AC=5\; \sf units\)

In order to simplify 8x + 14 = 10x, combine similar terms and then add the similar terms together.

To simplify an equation means to write it using fewer numbers or variables. An equation is an expression that is used to express the equality of two quantities. An equation has an equal to sign that is used to connect the two expressions.

A linear equation is an equation that has a single variable that is raised to the power of one. When drawn on a graph, a linear equation is usually a straight line.

Given this equation : 8x + 14 = 10x

In order to simplify the equation, take the following steps:

Combine similar terms: 14 = 10x - 8x

Add similar terms together: 14 = 2x

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Answer:

6

Step-by-step explanation:

DEN

DNE

NDE

NED

END

EDN

We will see that Leonel's absolute speed is 17.35 km/h.

First, we need to define our axis or coordinates, let's assume that Leonel is moving to the positive x-direction.

Then we can write Leonel's velocity as:

Lv = (4 km/h, 0km/h)

The boat moves at 15 km/h at 60° counterclockwise, then the components of the boat velocity are:

The boat velocity is:

Bv = (7.5 km/h,  12.99 km/h)

Leone's absolute velocity would be the sum of his walking velocity plus the boat velocity

Absolute velocity = Lv +  Bv =  (4 km/h, 0km/h) + (7.5 km/h,  12.99 km/h)

Absolute velocity = (4km/h + 7.5km/h, 12.99 km/h)

Absolute velocity = (11.5 km/h, 12.99 km/h)

The magnitude of the absolute velocity (or the absolute speed) is:

M = √[ (11.5 km/h)^2 + (12.99 km/h)^2]  = 17.35 km/h

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Answer:

Step-by-step explanation:

5.) -11 = 7 - x

To solve for x, we need to isolate x on one side of the equation. We can do this by adding x to both sides of the equation, and then subtracting 11 from both sides:

-11 + x = 7

x = 7 + 11

x = 18

Therefore, the solution is x = 18.

15.) 95 = -4 + 33x

To solve for x, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides of the equation, and then dividing both sides by 33:

95 + 4 = 33x

99 = 33x

x = 99/33

x = 3

Therefore, the solution is x = 3.

The correct answer is option B which is mixture B will have the highest ratio of blue paint.

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

The given ratios are:-

Mixture A = \(\dfrac{5}{12} = 0.41\)

Mixture B = \(\dfrac{6}{6}= 1\)

Mixture C = \(\dfrac{4}{12}= 0.33\)

Mixture B = \(\dfrac{5}{6}=0.83\)

Here the ratio of mixture B is the highest among all the options available.

Therefore the correct answer is option B which is mixture B will have the highest ratio of blue paint.

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Answer:

4.

Step-by-step explanation:

18x^2- 32

= 2(9x^2 - 16)

= 2(3x + 4)(3x - 4)

There are 2 ³⁷ bytes in 128 gigabytes.

Bytes, which typically contain eight bits, are the basic building blocks of digital information.

We know that 128 = 2⁷

Now each gigabyte = 2³⁰ bytes

So the total number of bytes in 128 gb is

2⁷ × 2³⁰  = 2³⁰⁺⁷ = 2 ³⁷

Therefore there are 2³⁷ bytes in 128 gigabytes.

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Answer:

31

Step-by-step explanation:

I think the correct answer is 31

I think the anwser for this is 60 in miles

Answer:

23

Step-by-step explanation:

according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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Answer:

Step-by-step solution to solve g[g(x)]=g(x) for x:

1. Substitute g(x) into the equation g[g(x)]=g(x): 5(5x-8) - 8 = 5x - 8.

2. Simplify the equation: 25x - 40 = 5x - 8.

3. Subtract 5x from both sides of the equation: 25x - 5x - 40 = - 8.

4. Simplify the equation: 20x = -32.

5. Divide both sides of the equation by 20: x = -32/20.

6. Solve for x: x = -1.6.

7. The solution to the equation is x = -1.6.

Answer:

307.72

Step-by-step explanation:

S=2nr²

S=2×3.14×7²

S=307.72

A collection of two or more inequalities in one or more variables is known as a system of inequalities.

Two or more inequalities in one or more variables make up a system of inequalities. When a problem calls for a variety of answers and those answers are constrained by multiple factors, systems of inequalities are used.

The intersection region of every solution in the system of inequalities is the system's solution.

Comparable to solving a system of linear equations, solving a system of linear inequalities involves locating the point (or points) of intersection, however this is not the case with inequalities. Instead, the area that fulfils each linear inequality will make up the solution set.

An inequality system's graph shows how the inequalities are resolved.

The system of inequality needs to be fixed by \($y > \frac{2}{3}$ \\ and $x \leq \frac{16}{3}$\)

Following is a description of the inequality system:

\($y > 2 x+4$$x+y \leq 6$\)

The charts for these are in the attached.

\($y > 2 x+4$ and $x+y \leq 6$\)

The graph shows us:

\($y > \frac{2}{3}$$x \leq \frac{16}{3}$\)

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Las frecuencias son magnitudes que nos permiten representar valores de un fenómeno específico.

La frecuencia rotativa es un término que se refiere a la cantidad de ciclos completados en un período de tiempo por un elemento que gira en su propio eje. La magnitud con la que se puede asociar la frecuencia rotativa depende de distintos factores, no obstante los más comunes suelen ser: segundos, minutos y horas. Algunos ejemplos de frecuencia rotativa es:

La rueda de mi bicicleta tiene una frecuencia rotativa de 50 giros por minuto.

La frecuencia porcentual es un término que se refiere a la cantidad de elementos que tienen características similares por lo que pueden clasificarse en una categoría o clase similar. Por ejemplo, la frecuencia porcentual de personas con uniforme en mi escuela es del 90%.

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19 has an infinite number of multiples since we can multiply 19 by any positive integer to get a new multiple.

A multiple of number is product of that number and  other integer.

To find the multiples of 19, we need to multiply 19 by every positive integer. So, the multiples of 19 are:

19 × 1 = 19

19 × 2 = 38

19 × 3 = 57

19 × 4 = 76

19 × 5 = 95

19 × 6 = 114

19 × 7 = 133

19 × 8 = 152

19 × 9 = 171

19 × 10 = 190

and so on.

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Answer:

333/500

66.6 = 0.666

100

= 333/500