If 4x-3=13, then 4x=16

Answer: 14

Step-by-step explanation: I solved the equation

Answer:

14 dollars

Step-by-step explanation:

The total number of ways to select two subsets whose union is s, without regard to order, is 543 + 12 = 555.

To know how many different ways to select two not necessarily distinct subsets,

Consider the case where the two subsets are distinct. Suppose the first subset has k elements, where 0 ≤ k ≤ 5. Then the second subset must have 6 - k elements.

We can choose the first subset in 6 choose k ways, and the second subset in 6 choose (6-k) ways (since it must have the remaining 6-k elements).

Therefore, the total number of ways to select two distinct subsets whose union is s is shown below;

6C0 * 6C6 + 6C1 * 6C5 + 6C2 * 6C4 + 6C3 * 6C3 + 6C4 * 6C2 + 6C5 * 6C1 = 1 + 36 + 225 + 200 + 75 + 6 = 543

The question allow us to choose two not necessarily distinct subsets. If we choose the same subset twice, then the union of the two subsets will be that subset.

There are 6 ways to choose a subset of 6 elements, and 6 ways to choose a subset of 5 elements, so there are 6 + 6 = 12 ways to select two identical subsets whose union is s.

Therefore, the total number of ways to select two subsets whose union is s, without regard to order, is 543 + 12 = 555.

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By the additive property of equality, the equations John wrote are equivalent.

From the question, we are to determine if the equations John wrote are equivalent.

From the given information,

John wrote that

5 + 5 = 10

Then,

He added n to both sides of the equation to get

5 + 5 + n = 10 + n

From the Additive property of equality, we have that

"If we add or subtract the same number to both sides of an equation, the sides remain equal."

Since, John added the same number, n, to both sides of the equation, the equations John wrote are equivalent.

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\((2\sqrt{7}+3\sqrt{6})(5\sqrt{2}+4\sqrt{3}) \\\\\\ \begin{array}{lllllll} 10\sqrt{14}&+&15\sqrt{12}&+&8\sqrt{21}&+&12\sqrt{18}\\\\ &&15\sqrt{2^2\cdot 3}&&&&12\sqrt{3^2\cdot 2}\\\\ &&15\cdot 2\sqrt{3}&&&&12\cdot 3\sqrt{2}\\\\ &&30\sqrt{3}&&&&36\sqrt{2}\\\\ 10\sqrt{14}&+&30\sqrt{3}&+&8\sqrt{21}&+&36\sqrt{2}\\\\ 10\sqrt{14}&+&8\sqrt{21}&+&30\sqrt{3}&+&36\sqrt{2} \end{array}\)

The amount that Blake should have invested is $28875.38

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

Given here: Interest rate=5.7% compounded daily

Let p be the principal that Blake needs to invest

76000=P(1+5.7%/365)³⁶⁵ ˣ ¹⁷

76000=P(1.000156)⁶²⁰⁵

P=$28875.38

Thus Blake should have invested $28875.38

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Answer:formele solide sun obiectele care sunt tari dexemple piatra telefonul cubul ele sunt solide

Step-by-step explanaton:

DEFINITION-;

three dimensional figure have Length breadth and height and which have a fixed shape and accupies shapes are called solids

the line segment which to focus in solid meet is called its when three or more faces of a solid meet at one point with point is known as vertex

TYPES

CUBOID

a solid bounded by six rectangular play spaces is called a cuboid

ELEMENT OF CUBOID

2 CUBE

a solid cube whose all three dimension Length breadth and height are equal called cube

element of cube

it has 6 faces 8 vertex and 12

3 PRISM

a Prism is a solid whose side faces are rectangle and in the identical polygon in parallel planes

4 PYRAMID

a pyramid is a solid whose base is a flat plane rectilinear figure which may be triangular square rectangular or polygonal the side face of a pyramid are Triangles having a common vertex

5 CONE

it is a solid with a circular base and all is other purpose meet it common point known as vertex

6 CYLINDER

it is a solid with two circular base also if the cross section of prism is circle then is known as cylinder

Answer:

Step-by-step explanation:

I think a calculator is the only way to solve this question:

\(\sqrt{7} +\sqrt{3} = 2.96\\\\\sqrt{6} +\sqrt{4} = 2.54\\\\\sqrt{8} +\sqrt{2} =3.07\)

So (c) is the greatest.

His pay to play this game per draw is $0.1413

0.015 of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Money mark recieves for diamond=$0.45

Money mark recieves for queen=$0.60

Money mark recieves for queen of diamonds=$0.80

Now,

Probability of getting a diamond = 13/52

Price of one heart =$0.45

Pay for one heart = 13/52×0.45=$0.1125

Probability of getting a queen =4/52

Price of one queen =$0.60

Pay for one queen =4/52×$0.60=$0.0115

Probability of getting a queen of diamonds =1/52

Price of one queen =$0.80

Pay for one queen =1/52×$0.80=$0.015

Total pay for one draw= $0.1125+$0.0115+$0.0173=$0.015

=0.1413

Therefore, the pay per draw by probability will be $0.1413

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Answer:

A can with capacity 44 litres

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The price difference between the two different frame sizes £25.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

let the price for small frame be x.

and, the price for large frame be y.

As, One small picture frame and one large frame costs £65.

It costs £170 to buy two of the larger frames and four of the smaller frames.

So, the system of equation are:

x+ y = 65..................(1)

4x+ 2y = 170

2x + y = 85.....................(2)

Solving equation (1) and (2) we get

2x + 65 -x = 85

x = 20

and, y = 65- 20 = 45

Hence, the difference if of £25.

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The statement that an example of Instructional Task Learning is the Count on Sesame Street counting to 10, is True.

Instructional task learning refers to a type of education where students gain expertise in a particular skill or concept by completing multiple tasks that have been specifically devised to aid them in mastering the subject matter.

On Sesame Street, the students are acquiring the knowledge of numerically counting up to 10 via the character of Count. The Count offers several activities aimed at imparting the same skill to learners, including object counting, singing songs that involve counting, and engaging in counting games. Through the completion of these assignments, students can proficiently acquire the ability to accurately count up to 10.

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Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

Answer:

Geometric Sequence

Finding the sum

The sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Solution:

Geometric Series Sum Formula: S = a₁/1 - r

Given: a₁ = 3/4

          a₂ = -9/16

          a₃ = 27/64

          a₄ = -81/256

1. Find the common ratio.

      a_n = a₁r ⁿ ⁻ ¹

       a₂  = a₁r ⁿ ⁻ ¹

  -9/16 = 3/4 r ² ⁻ ¹

  -9/16 = 3/4 r

2. Divide both sides of the equation by 3/4 to find r.

   -9/16/3/4 = 3/4 r/3/4

 (-9/16)(4/3) = r

       -36/48 = r

           -3/4 = r

3. Using r = -3/4, find the sum of the infinite geometric series 3/4 -9/16 +27/64 -81/256+ ...

   S = a₁/1 – r

   S = 3/4/1 – (-3/4)

   S = 3/4/1 + ¾

   S = 3/4/4/4  + 3/4

   S = 3/4/7/4

   S = (3/4)(4/7)

   S = 12/28

   S = 3/7

4. Therefore, the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Definition:

     A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant while the sum of an infinite number of terms in a geometric sequence is called sum to infinity.

Code: 10.3.1.1

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Step-by-step explanation:

An indication of the inequality negative 2 over 3 > −1 about the positions of negative 2 over 3 and −1 on the number line is that: A. negative 2 over 3 is located to the right of −1.

A number line can be defined as a type of graph that is designed and developed with a graduated straight line containing both positive and negative numbers (numerical values), that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used for the comparison of two or more numbers such as -2/3 and -1. Also, a number line typically decreases in numerical value towards the left and increases in numerical value towards the right.

Note: negative 2 over 3 = -2/3.

By comparison, we have:

-2/3 > -1

In conclusion, the above inequality simply means that -2/3 is greater than -1 and it would be located to the left of 0 and right of -1 on a number line as shown in the image attached below.

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Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

the letter in the green box should be 3.

i believe the full equation should be y= -3/2 x+1

Step-by-step explanation:

the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.

The solutions to the given equation correct to the nearest hundredth are approximate x ≈ -8.47 and x ≈ 0.47.

The given equation is x² + 8x = 8. To solve for x using the quadratic formula, we first need to rewrite the equation in the standard form ax² + bx + c = 0, where a, b, and c are constants.

x² + 8x = 8 can be rewritten as x² + 8x - 8 = 0, where a = 1, b = 8, and c = -8. Applying the quadratic formula, we have:

\(x = \frac{(-b \pm \sqrt{(b^2 - 4ac)) }}{ 2a}\)

Simplifying the expression inside the square root, we get:

\(x = \frac{(-8 \pm \sqrt{(80)})}2\\x = \frac{(-8 \pm 8.94)}2\)

Using a calculator to approximate the solutions to the nearest hundredth, we get:

x= -8.47

x = 0.47

Therefore, the solutions to the given equation correct to the nearest hundredth are approximately x ≈ -8.47 and x ≈ 0.47.

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It takes for the population to become five times the initial population  we have the values for c and k, plug them into this equation 5 x P(0) = 120 / (ce^(-kt) + 1).

How to determine population?

First, let's correct the given logistic equation:
P(t) = 120 / (ce^(-kt) + 1)

We are given that x(2) = 10 and x(6) = 20. We can use this information to find the values of c and k.

Once we have the values for c and k, plug them into this equation and solve for t. This will give you the time it takes for the population to become five times the initial population.

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Answer: 15

Step-by-step explanation:

15 newspapers in every recycling bin

There are fifteen newspapers in each recycling bin.

Step-by-step explanation: 120/8 = 15

There are 800 million possible different 10-digit phone numbers that can be created in the USA.

In the NANP (North American Numbering Plan), the numbers are ten digits in length and follow the format nxx-nxx-xxxx. Here, 'n' can be any digit from 2 to 9, and 'x' can be any digit from 0 to 9.

The first three digits are known as the Numbering Plan Area (NPA) code, also referred to as the area code. There are currently 800 area codes available, meaning that not all three-digit combinations can be used as area codes. Some combinations are reserved for future use.

To calculate the number of possible different 10-digit phone numbers that can be created in the USA, we need to consider the possibilities for each digit:

- For the first digit (n): There are 8 possible choices (2 to 9).
- For the second and third digits (n): There are 10 possible choices for each digit (0 to 9).
- For the remaining seven digits (x): There are 10 possible choices for each digit (0 to 9).

Therefore, the total number of possible different 10-digit phone numbers in the USA can be calculated as follows:

8 (choices for the first digit) * 10 (choices for the second digit) * 10 (choices for the third digit) * 10^7 (choices for the remaining seven digits) = 8 * 10 * 10 * 10,000,000 = 800,000,000.

So, there are 800 million possible different 10-digit phone numbers that can be created in the USA.

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The option that is not a consequence of a country becoming an exporter of a good is Option 2: "The gains of domestic producers of the good exceed the losses of domestic consumers of the good.

Option 1: "The losses of domestic consumers of the good exceed the gains of domestic producers of the good" is a consequence of a country allowing trade and becoming an exporter of a good. This is because as domestic producers increase their production and sell to foreign buyers, the domestic supply of the good decreases, leading to a rise in its price. This price increase is likely to harm domestic consumers who now have to pay more for the good.

Option 3: "The price received by domestic producers of the good increases" is also a consequence of a country allowing trade and becoming an exporter of a good. As foreign buyers purchase more of the good, domestic producers are able to sell their output at a higher price. This increase in revenue and profits can incentivize domestic producers to increase their production levels.

Therefore, the option that is not a consequence of a country becoming an exporter of a good is Option 2: "The gains of domestic producers of the good exceed the losses of domestic consumers of the good." This option is incorrect because it is in fact a consequence of a country becoming an exporter of a good. As domestic producers increase their production levels and sell more of the good to foreign buyers, their revenues and profits increase, which can lead to gains for the domestic economy as a whole. However, as mentioned earlier, this can come at the expense of domestic consumers who may have to pay higher prices for the good.

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The ratio of the areas of the two similar figures is 9 : 16.

We can use comparisons or ratios to compare the size of an object with other objects. The quantity of an object can be in the form of length, speed, mass, time, number of objects, and so on.

For example, penguins have 2 legs, while dogs have 4 legs. We say that the ratio of the number of legs above can be written in three ways, namely:

2 to 4, 2 to 4, or 2/4.

The writing above is read: a comparison of 2 to 4, a comparison between 2 and 4, or a comparison of 2 to 4.

The order of the numbers in the comparison is important and should receive special attention. The first number in the comparison must be written as a numerator, if the comparison is written in fractional form.

Example:

The ratio of the number of penguin and dog legs is 2: 4 or 2/4

The ratio of the number of dog and penguin legs is 4 : 2 or 4/2

According to the question above:

Side figure 1 : side figure 2

6 : (6+2)

6 : 8

3 : 4

The ratio of the areas of two similar figure is equal to the square of the ratio of the corresponding sides.

Squaring the ratio 3 : 4, gives us:

3² : 4² = 9 : 16

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The true statement about the graph is

It is a function with the domain {-6 < x < 0} and the range {0 ≤ y ≤ 5}.

The range refers to all possible value in the out put of a graph.

The out put is the y coordinate and the possible values here is within the interval

0 ≤ y ≤ 5

The domain refers to all possible value in the input of a graph.

The input is the x coordinate and the possible values here is within the interval

-6 ≤ x ≤ 0

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Evaluating Georgianna's claim using a hypothesis test.The claim is that the average child takes less than 5 years of piano lessons. Therefore, we use a one-tailed hypothesis test with a null hypothesis asH0: µ ≥ 5 versus the alternative hypothesis Ha: µ < 5.

Level of significance is not given, hence we can assume it to be 0.05. Calculating the test statistic as follows:$$t=\frac{\overline{x}-\mu }{s/\sqrt{n}}$$Substituting the given values in the above equation, we get$$t=\frac{4.6-5}{2.2/\sqrt{20}}$$So, t = -1.69, for a one-tailed test (left-tailed) and the degrees of freedom are n-1 = 19. Using the t-distribution table with α = 0.05 and 19 degrees of freedom, the critical value is -1.73, hence, -1.69 falls within the non-rejection region. Therefore, we cannot reject the null hypothesis. There is not enough evidence to support Georgianna's claim.b. Constructing a 95% confidence interval for the number of years students in this city take piano lessons, and interpret it in the context of the data.

The formula for confidence interval for a population mean is Interpretation: We can be 95% confident that the average number of years students in this city take piano lessons falls between 4.01 and 5.19 years.c. Explaining if the results from the hypothesis test and the confidence interval agreeYes, the results from the hypothesis test and the confidence interval agree because we cannot reject the null hypothesis in the hypothesis test. This means that the null hypothesis, H0: µ ≥ 5 is plausible. Further, the 95% confidence interval for the mean number of years students take piano lessons lies completely above the value of 5 years, which is Georgianna's claim. This is in line with the hypothesis test result. Thus, we can conclude that there is no sufficient evidence to support Georgianna's claim.

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Answer:

5,7 given point its korrect now

Answer:

1/2 or 0.5 hours

Step-by-step explanation:

r = time for repairman to fix one pair of shoes.

a = time for assistant to fix one pair of shoes.

a = r×1.5

x×r + y×a = 6

x = number of pairs of shoes repaired by repairman.

y = number of pairs of shoes repaired by assistant.

x+y = 10

y = 10-x

x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)

y = 10 - y×1.5

y + y×1.5 = 10

2.5×y = 10

y = 4

=> x = 6

6×r + 4×r×1.5 = 6

6×r + 6×r = 6

12×r = 6

r = 6/12 = 1/2 or 0.5 hours