The ratio of the number of yellow buttons that Miko had to the number of blue buttons that Miko had was 2: 3. After she had bought 27 more blue buttons, The ratio of the number of yellow buttons to the number of blue buttons became 4:9. How many buttons did Miko have at first?​

The principal investment was $[tex]1,200.[/tex] Answer: $[tex]1,200.[/tex]

We know that after 5 years, the amount of money earned on the savings account is $ [tex]1,422[/tex], and the equation that relates the amount A to the principal P and the time t is:

[tex]A = P(1 + 0.037t)[/tex]

We can use this equation to find the value of P:

A = $[tex]1,422[/tex]

t = 5 years

[tex]0.037[/tex] is the interest rate per year

[tex]A = P(1 + 0.037t)[/tex]

$[tex]1,422 = P(1 + 0.037\Ttimes 5)[/tex]

$[tex]1,422 = P(1.185)[/tex]

To solve for P, we divide both sides of the equation by 1.185:

[tex]P = $1,200[/tex]

Therefore, the principal investment was $1,200. Answer: $1,200.

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All answers are mentioned below.

A function is a mathematical concept that assigns to each input value (or "argument") exactly one output value (or "image"). In other words, a function is a rule that assigns a unique output for each input value. . A function can be represented graphically as a curve, or analytically as a formula. Functions play a central role in many areas of mathematics, science, and engineering.

1. True. The function f(x) = 2x^3 + 8 has no restrictions on x, so the domain of the function is all real numbers.

2. False. The range of the function f(x) = 2x^3 + 8 is (8, ∞), not (0, ∞). The value of the function f(x) will always be greater than or equal to 8 for all values of x.

3. False. The y-intercept of the function f(x) = 2x^3 + 8 is (0, 8), not (0, 0). When x = 0, the value of the function f(x) is 8.

4.True. The function f(x) = 2x^3 + 8 is an odd function, which means that it has a center of symmetry at x = 0. The center of symmetry of an odd function is the point at which the function is symmetric about the y-axis. The value of the function at the center of symmetry is equal to the y-intercept, which in this case is 8. Therefore, the center of symmetry of the function f(x) = 2x^3 + 8 is (0, 8).

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The range of the function f(x) = [tex]2x^{3}[/tex] + 8 is (8, ∞), not (0, ∞). The center of symmetry of an odd function is the point at which the function is symmetric about the y-axis.

A function is a mathematical concept that assigns to each input value (or "argument") exactly one output value (or "image"). In other words, a function is a rule that assigns a unique output for each input value. . A function can be represented graphically as a curve, or analytically as a formula. Functions play a central role in many areas of mathematics, science, and engineering.

1. True. The function f(x) = [tex]2x^{3}[/tex] + 8 has no restrictions on x, so the domain of the function is all real numbers.

2. False. The range of the function f(x) = [tex]2x^{3}[/tex] + 8 is (8, ∞), not (0, ∞). The value of the function f(x) will always be greater than or equal to 8 for all values of x.

3. False. The y-intercept of the function f(x) = [tex]2x^{3}[/tex] + 8 is (0, 8), not (0, 0). When x = 0, the value of the function f(x) is 8.

4.True. The function f(x) = [tex]2x^{3}[/tex] + 8 is an odd function, which means that it has a center of symmetry at x = 0. The center of symmetry of an odd function is the point at which the function is symmetric about the y-axis. The value of the function at the center of symmetry is equal to the y-intercept, which in this case is 8. Therefore, the center of symmetry of the function f(x) = [tex]2x^{3}[/tex] + 8 is (0, 8).

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The system of equations has its solution to be x = 5 and y = -2

From the question, we have the following parameters that can be used in our computation:

4x + 5y = 10

8x + 5y = 30

Subtract bothh equations

So, we have

4x = 20

Divide by 4

x =  5

Recall that 4x + 5y = 10

So, we have

4 * 5 + 5y = 10

This gives

5y = -10

Divide by 5

y = -2

Hence, the value of y is -2

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Answer:

Step-by-step explanation:

2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.

Answer:

(C)

Step-by-step explanation:

2.8 is greater than 2.58 - because 2.8 is closer to 3 on the number line.

The sample space for flipping four coins is  {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}.

The sample space for flipping four coins can be represented as a set of all possible outcomes, where each outcome is a sequence of four coin tosses. Each coin toss can result in either heads (H) or tails (T).

The sample space, Ω, for this experiment can be expressed as:

Ω = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}

Here, for example, the outcome HHHT means that the first three coins landed heads, while the last coin landed tails.

The outcome HTHH means that the first coin landed heads, the second and third coins landed tails, and the fourth coin landed heads.

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The common ratio of y and x in a table is identified dividing a value of y by it's respective value of x.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The constant represents the common ratio, which is calculated as follows:

k = y/x.

Meaning that we must divide a value of y by it's respective value of x.

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(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.

(b)The probability that the selected individual owns shares in a bond fund is 26%.

(c)The probability that the selected individual does not own shares in a stock fund is 57%.

(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.

(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:

Short bond: 14%

Intermediate bond: 7%

Long bond: 5%

Total bond funds: 14% + 7% + 5% = 26%

So, the probability that the selected individual owns shares in a bond fund is 26%.

(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:

Moderate-risk stock: 25%

High-risk stock: 18%

Total stock funds: 25% + 18% = 43%

So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.

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--The question is incomplete, answering to the question below--

"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.

Money-market 23%

High-risk stock 18%

Short bond 14%

Moderate-risk stock 25%

Intermediate bond    7%

Balanced 8%

Long bond 5%  

A customer who owns shares in just one fund is randomly selected.

(a)What is the probability that the selected individual owns shares in the balanced fund?

(b) What is the probability that the individual owns shares in a bond fund?

(c) What is the probability that the selected individual does not own shares in a stock fund?"

Answer:-5,6

Step-by-step shhsjshshshsh

Answer: the answer is 32.5 square feet

Step-by-step explanation:

hope this helped:)

This implies that the QS of good Y increases at the same price and as such, the S curve of good Y will experience a rightward shift.

The quantity provided (QS) of the good Y at different prices would be determined by the supply (S) curve of the good Y. (P). The fact that resource X is utilized in the supply of good Y suggests that resource X is an input employed in the creation of good Y. When a result, as the P of resource X declines, the cost of producing good Y increases, and in response, the producers of good Y raise the QS of good Y. This suggests that the QS of good Y grows at the same rate, leading to a rightward shift in the good Y S curve

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Answer:

The value of x could be anything. You need to give me a formula or I can't give you the answer.

Step-by-step explanation:

Answer:

x can be any number, 1, 2, 3, 4, 5, etc.....

If you have a formula, then I can solve it and find what number x is.

So remember, x can be any number, depending on the formula.

Hope this Helped!

Have a GOOD DAY!

Answer:

There is an error in finding the difference. The expression (x²+x) - (2x²-3x) can be simplified as follows:

(x²+x) - (2x²-3x) = x²+x + (-2x²+3x) = x² - 2x² + x + 3x = -x² + 4x

So, the correct answer is -x² + 4x, not -2²-2r.

Step-by-step explanation:

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The distance that Audra's frog jumped is given as follows:

7/12 of a yard.

The distance that Audra's dog jumped is obtained applying the proportions in the context of this problem.

The distance jumped by Noah's frog is given as follows:

7/8 of a yard.

Audra’s frog jumped 2/3 of the distance Noah’s frog jumped, hence the distance is given as follows:

d = 2/3 x 7/8

d = 14/24

d = 7/12 of a yard.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: Answer c the -1 is equivalent to the -0 and -* to the third power equaled the equation mathematics of it being c

Thus, the answer c

The pH of the solution is 12.81.

1) [OH⁻] = 0.065 M

2) [H₃O⁺] = 1.54 x 10⁻¹³ M.

3)  pH = 12.81.

HCl is completely dissociated into its ions in solution:

KOH + H₂O  → H₃O⁺ + K⁺ + OH⁻,

1) [OH⁻] = 0.065 M.

2) [H₃O⁺]:

∵ [H₃O⁺][OH⁻] = 10⁻¹⁴.

∴ [H₃O⁺] = [tex]\frac{10^{-14}}{OH^-}[/tex] = [tex]\frac{10^{-14}}{0.065}[/tex] = 1.54 x 10⁻¹³ M.

3) pH:

Typically, a pH meter is used to measure pH, which converts the difference in electromotive force (electrical potential or voltage) between appropriate electrodes put in the solution under test into pH measurements. A pH meter's basic components are a voltmeter connected to an electrode that responds to pH and an electrode that is constant. The reference electrode is typically a mercury-mercurous chloride (calomel) electrode, however a silver-silver chloride electrode is occasionally used. The pH-responsive electrode is often made of glass.

For strong acids like HCl:

pH = - log[H₃O⁺] = - log[1.54 x 10⁻¹³ M] = 12.81

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The equation for the function after the transformations is given as follows:

[tex]y = 2\sqrt{x + 3} + 2[/tex]

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

For a vertical stretch by a factor of a, the function is multiplied by a.

The parent function for this problem is given as follows:

[tex]y = \sqrt{x}[/tex]

Hence the function after each transformation is defined as follows:

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The speed of 3 miles per minute expressed in feet per minute will be 15,840 feet per minute.

Unit transformation is the technique of restoring the dimensions of a provided piece between miscellaneous units.

The speed is given below.

Speed = 3 miles per minute

We know that in one mile, there are 5,280 feet. Then convert the speed from miles per minute to feet per minute. Then we have

Speed = 3 x 5,280 feet per minute

Speed = 15,840 feet per minute

The speed of 3 miles per minute expressed in feet per minute will be 15,840 feet per minute.

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The solution is, if the expression x^3 + 10x + 25 is factorable then, the value of b is, 10 = b.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Begin by expanding (x + 5)^2

(x + 5)(x + 5)

First: x*x = x^2

Outside: x *  5 (the last term which is a 5)

Inside: 5+ x

Last:  5*5 = 25

x^2 + 5x + 5x + 25

x^3 + 10x + 25

Hence, The solution is, the value is, 10 = b.

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The required, maximum number of people Yoseph can have at the party is 13 people.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

As mentioned in the question, Joseph wants to surprise his wife with a birthday party at her favorite restaurant .it will cost birr 56.50 per person for dinner, including tips and taxes. his budget for the party is birr 735.

So, the ratio of the budget to the cost per person defines the maximum number of people Yoseph can have at the party,
= 735 / 56
= 13 people

Thus, the required, maximum number of people Yoseph can have at the party is 13 people.

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in the knitting pattern, since the m<2 is the exterior angle, the measure of the exterior angle is 132°

Exterior angles of a right-angled triangle are calculated by the sum of the opposite interior angles. It can also be calculated by using the sum of angles in a triangle, followed by using the sum of angles on a straight line to determine the exterior angles.

Here, m < 1 = 42°, and the other angle is 90°

Thus, if the sum of the two opposite interior angles equals the exterior angles, then:

m< 2 = 42° + 90°

m< 2 = 132

Therefore, in the knitting pattern, since the m<2 is the exterior angle, the measure of the exterior angle is 132°

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Answer:

If the Jones family needs to reach their destination by 1:15 PM and their drive will take one and a half hours, we can work backwards to determine the latest time they can leave.

Subtracting 1.5 hours from 1:15 PM, we get:

1:15 PM - 1.5 hours = 11:45 AM

Therefore, the latest time the Jones family can leave and still reach their destination on time is 11:45 AM.

Kinsey must save $72 per month to achieve her goal is the true statement, Option B is correct.

Two or more expressions with an Equal sign is called as Equation.

Given that Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television.

If the most that Kinsey can possibly save is $80 per month then which of the given statements will be true.

After 11 months Kinsey has saved $600.

Now let us find for 16 months.

Goal over 16 months: $60 x 16 = $960

Collected after 11 months: $600

$360 still needed to reach the goal.

5 months lefts.

Divide 360 by 5

$360 ÷ 5 = $72

Hence, Kinsey must save $72 per month to achieve her goal, option B is correct.

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Complete question

Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D

If one could fund the entire federal budget by working a single 8-hour work day, approximately 3,085.35 seconds of that working day would be devoted to paying the amount earmarked for public broadcasting.

Scientific notation is a method of writing extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation.

Here,
To put the amount earmarked for public broadcasting into perspective, we can compare it to the total annual federal budget and calculate how much time would be spent working to pay for it.

First, let's convert both amounts to the same unit of measurement, such as dollars per second. If we assume an 8-hour work day,
8 * 60 * 60 = 28,800 seconds,

Then the federal budget can be funded at a rate of,
= 4.75 × 10¹²/ 28,800 seconds
= 165,278.47 dollars per second.

Next, we can divide the amount earmarked for public broadcasting by the rate of funding to find the number of seconds devoted to paying for it,

= 510 × 10⁶ / 165,278.47 dollars per second
= 3,085.35 seconds

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The ​decreases SSwithin and increase the size of the F-ratio be the effect of changing the value of ss1 to 50 option (D) is correct.

Sample, which can be stated as a part of population. and, it is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

here, we have,

It is given that:

Sample Data

M1 = 10 M2 = 15

SS1 = 90 SS2 = 70​

As we know,

The F ratio:

F = S²(x)/S²(y)

From the data given we can say:

Reduce SSwithin and boost the F-magnitude. ratio's

Thus, we get that the ​decrease SSwithin and increase the size of the F-ratio be the effect of changing the value of ss1 to 50 option (D) is correct.

The question is incomplete.

The complete question is attached in the picture.

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Answer:

Binomial

Step-by-step explanation:

This expression is a binomial due to it having 2 terms.

bi=2

nomial=number or term

The measure of angle fge is 53.13°.

The equation used to find the measure of angle fge is the Law of Cosines. The Law of Cosines states that for any triangle, the square of the length of any side is equal to the sum of the squares of the other two sides, minus twice the product of those sides and the cosine of the angle opposite the side.

Using the Law of Cosines, we can solve for the measure of angle fge as follows:

[tex]fge = cos-1((a^2 + b^2 - c^2) / 2ab)[/tex]

For example, if the length of side a is 3, the length of side b is 4, and the length of side c is 5, then the measure of angle fge can be calculated as follows:

fge =[tex]cos-1((3^2 + 4^2 - 5^2) / 2(3)(4))[/tex]

fge = [tex]cos-1(1/6)[/tex]

fge = 53.13°

Therefore, the measure of angle fge is 53.13°.

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Answer: G24

Step-by-step explanation:

ITS REALLY EASY I DID THIS ONCE BUT I GOT 100% so

The requried expressions that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
We can write two expressions that when added together have a sum of -4n + 6 as follows,

-3n - 2 + 7n + 8

Here, the first expression is -3n - 2, and the second expression is 7n + 8.

When we add these two expressions together, we get:

(-3n) + (7n) + (-2) + 8 = 4n + 6

So the sum of the two expressions is -4n + 6.

Again,
-5n - 1 + 9n + 7

Here, the first expression is -5n - 1, and the second expression is 9n + 7.

When we add these two expressions together, we get:

(-5n) + (9n) + (-1) + 7 = 4n + 6

So the sum of the two expressions is -4n + 6.

Thus, the requried expression that when added together have a sum of -4 n + 6 are -3n - 2 + 7n + 8 and -5n - 1 + 9n + 7.

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