The reciprocal of 1/4 as a fraction Please help fast

Answer:

  multiply by 3, applying the multiplication property of equality

  -6/5x = 4y +6

Step-by-step explanation:

Your video probably tells you what is expected here.

Ordinarily, we would multiply both sides of the equation by the least common denominator of the fraction: 15. That would eliminate all of the fractions. Your form seems to indicate that the coefficient of x remains a fraction after the multiplication. That makes the intent unclear to those of us who have not seen your video.

The multiplication property of equality is applied.

Multiply both sides of the equation by 15. This clears all the fractions.

  \(15(-\dfrac{2}{5}x)=15(\dfrac{4}{3}y+2)\\\\-6x=20y+30\)

__

If we just clear the fraction for y, we do that by multiplying both sides by 3.

  \(3(-\dfrac{2}{5}x)=3(\dfrac{4}{3}y+2)\\\\\dfrac{-6}{5}x=4y+6\)

the answer to this question is -10.

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

8

Step-by-step explanation:

E = 15, V = 9, F =?

By Euler's rule, we have:

F + V - E = 2

F + 9 - 15 = 2

F - 6 = 2

F = 6 + 2

F = 8

The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.

The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).

The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.

The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.

By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.

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The value of cos(L) in this right triangle JKL is 5/12.

To find the value of cos(L) in right triangle JKL, we need to understand the trigonometric functions and how they relate to the sides of a right triangle.

In a right triangle, we have three main sides: the hypotenuse (the side opposite the right angle), the adjacent side (the side adjacent to the angle we are interested in), and the opposite side (the side opposite to the angle we are interested in).

Cosine (cos) is one of the trigonometric functions that relates the adjacent side to the hypotenuse. It is defined as:

cos(L) = adjacent side / hypotenuse

In triangle JKL, angle L is the angle we are interested in. The side KL is the adjacent side to angle L, and the side JK is the hypotenuse of the triangle.

Given that the length of JK is 12 and the length of KL is 5, we can substitute these values into the cosine formula:

cos(L) = KL / JK

      = 5 / 12

Therefore, the value of cos(L) in this right triangle is 5/12.

To visualize this, imagine the triangle JKL. The right angle is at vertex K, with side KL being adjacent to angle L and side JK being the hypotenuse. By dividing the length of KL (5) by the length of JK (12), we obtain the ratio 5/12, which represents the value of cos(L).

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The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

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Step-by-step explanation:

0.75x - 6 = x

0.25x = -6

x = -24

Hence the number is -24.

Based on the equation in the question , the R2 would be 0.934.

To compute R2, we need to use the formula:

R2 = SSR / SST

Given that SSR = 14,141.7 and

SST = 15,128.4,

We can substitute these values into the formula:

R2 = 14,141.7 / 15,128.4

R2 ≈ 0.934

b. To compute Ra2, we need to subtract R2 from 1:

Ra2 = 1 - R2

Substituting the value of R2 we calculated in part a:

Ra2 ≈ 1 - 0.934

Ra2 ≈ 0.066

c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.

In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.

So, the answer is "Yes".

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In a group of music students, 11 play the harp and 14 play the horn then, there are 1,588,184 ways to choose 5 harp players and 7 horn players from the group of music students.

For the number of ways 5 harp players and 7 horn players are chosen, we can calculate:

1. The number of ways to choose 5 harp players from 11 is given by the binomial coefficient:

\($${{11}\choose{5}}=\frac{11!}{5!6!}=462$$\)

2. Similarly, the number of ways to choose 7 horn players from 14 is:

\($${{14}\choose{7}}=\frac{14!}{7!7!}=3432$$\)

3. To choose 5 harp players and 7 horn players from the group, we need to multiply these binomial coefficients:

\($${{11}\choose{5}} \cdot {{14}\choose{7}} = 462 \cdot 3432 = 1588184$$\)

Therefore, there are 1,588,184 ways to choose 5 harp players and 7 horn players from the group of music students.

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Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning

Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.

By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.

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The area of the triangle is 94.9 square inches

For given question,

We have been given triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches.

Let x be the third side of ΔRST

⇒ 22 + 13 + x = 50

⇒ x = 50 - 35

⇒ x = 15

Let s = sum of three sides of the triangle / 2

s = (22 + 13 + 15)/2

s = 25

Now using the formula for the area of the triangle,

A = √[s × (s-a) × (s-b) × (s-c)]

Let a = 22 inches, b = 13 inches, c = 15 inches

Substituting the values,

⇒ A = √[25 × (25 - 22) × (25 - 13) × (25 - 15)]

⇒ A = √(25 × 3 × 12 × 10)

⇒ A = √9000

⇒ A = 94.9 square inches

Therefore, the area of the triangle is 94.9 square inches

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The area of  triangle rst which have sides 22 inches and 13 inches with perimeter 50 inches is 95 square inches.

We are given that the two sides of the triangle rst are 22 inches and 13 inches respectively. Also perimeter of the triangle rst is 50 inches.

We have to find the area of  triangle to the nearest square inches.

Let the third side of the triangle rst be x.

Hence,

22 + 13 + x = 50 inch

35 + x = 50 inch

x = 50 - 35
x = 15 inches

Hence, the third side of the triangle is 15 inches.

We will use the Heron's formula here to find the area of the triangle.

Heron's formula = \(\sqrt{s(s-a)(s-b)(s-c)}\)
Here,

s = Semi- perimeter

a, b, and c are sides of the triangle.

Hence,

\(s=\frac{50}{2} \\\\s=25 inches\)

a = 22 inches

b = 13 inches

c = 15 inches

Hence,

Area of the triangle rst = \(\sqrt{25(25-22)(25-13)(25-15)}\\\\ \sqrt{25(3)(12)(10)} =\sqrt{5*5*3*3*2*2*5*2}=5*3*2\sqrt{5*2}=30\sqrt{10}\)

We know that,

\(\sqrt{10}\) ≈ 3.162277
Hence,

\(\sqrt{10} * 30\) ≈ 94.86831 ≈ 95 square inches.

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The 45% represents a descriptive statistic. Descriptive statistics are used to describe or summarize characteristics of a sample or population. In this case, the percentage of students living in the dormitories (45%) is a descriptive statistic that provides information about the sample of 800 students.

Descriptive statistics involve organizing, summarizing, and presenting data in a meaningful way. They are used to describe various aspects of a dataset, such as central tendency (mean, median, mode) and dispersion (variance, standard deviation). In this case, the percentage of students living in the dormitories (45%) is a descriptive statistic that describes the proportion of students in the sample who live in the dormitories.

Statistical inference, on the other hand, involves making conclusions or predictions about a population based on data from a sample. It uses techniques such as hypothesis testing and confidence intervals to make inferences about the population parameters.

In summary, the 45% represents a descriptive statistic as it provides information about the proportion of students living in the dormitories based on the sample of 800 students. It is not an example of statistical inference, a population, or a sample.

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Answer:

Range: (-∞,∞)

Domain: (-∞,∞)

Step-by-step explanation:

Remember that if there are arrows that the function continues.

The equation that describes Newton's method to solve x\(^7\) + 4 = 0 is xₙ₊₁ = xₙ - (xₙ\(^7\) + 4) / (7xₙ\(^6\)), where xₙ is the current approximation and xₙ₊₁ is the next approximation.

Newton's method is an iterative root-finding technique that seeks to approximate the roots of an equation. In this case, we want to find a solution to the equation \(x^7\) + 4 = 0.

The method involves starting with an initial approximation, denoted as x₀, and then iteratively updating the approximation using the formula: xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ), where f(x) represents the given equation and f'(x) is its derivative.

For the equation \(x^7\) + 4 = 0, the derivative of f(x) with respect to x is 7\(x^6\). Thus, applying Newton's method, the equation becomes xₙ₊₁ = xₙ - (xₙ\(^7\) + 4) / (7xₙ\(^6\)). By repeatedly applying this formula and updating xₙ₊₁ based on the previous approximation xₙ, we can iteratively approach a solution to the equation x\(^7\) + 4 = 0.

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Based on the number of pounds of butter that Hall has and the number of cups needed per fasnachts, the number of fasnachts Hall will be able to make is 36 fasnachts

First, find out the number of cups of butter than Hall has:

= 9 pounds x 2 cups per pound

= 18 cups

Then, find out the number of 3/4 cups in this amount of butter:
= 18 cups / 3/4

= 18 x 4/3

= 24 cups

The number of fasnachts that Hall can make are:

= 24 x 1.5 frozen fasnachts per cup

= 36 fasnachts

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Answer:

-0.8

Step-by-step explanation:

3/5 × (2x + 5) - 2x =

= 3/5 × 2x + 3/5 × 5 - 2x

= 1.2x + 3 - 2x

= -0.8x + 3

Answer:

-0.8

Step-by-step explanation:

The question asks for the expression to be simplified, so we can start with that. I will put fractions in parentheses for easier readability.

The first step is to distribute the (3/5) to the terms in the parentheses. (3/5) * 2x is (6/5)x, and (3/5) * 5 is 3. The expression we're then left with is (6/5)x + 3 - 2x.

I'm going to convert (6/5) here into a decimal, because it'll, in my opinion, make the later calculations easier, but you don't need to. (6/5) now becomes 1.2.

The second step is to combine like terms, meaning combining the two terms with "x". 1.2x - 2x is -0.8x, giving the final expression of -0.8x + 3.

This is as far as we can go with the simplification. Therefore, the final answer must be the coefficient of x, or the number x is being multiplied by. As it is already a decimal, there's no need to convert.

The coefficient of x here is -0.8, so that is the final answer.

Hope this helps! Let me know if you have any questions.

We can solve this equation by the substitution method but it is easier by the elimination method.

The substitution method is another common method used to solve a system of two simultaneous equations. The method involves solving one of the equations for one variable in terms of the other variable, and then substituting this expression into the other equation to obtain an equation with only one variable.

Using the substitution method;

3x - 2y = 9 ---- (1)

x + 2y = 19 ----- (2)

x = 19 - 2y ----(3)

Substitute (3) into (1)

3(19 - 2y) - 2y = 9

57 - 6y - 2y = 9

57 - 8y = 9

-8y = 9 - 57

-8y = -48

y = 6

Substitute y = 6 into (2)

x + 2(6) = 19

x = 19 - 12

x = 7

Thus;

x = 7

y = 6

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Answer: The measure of the missing angle is 115∘.

Step-by-step explanation: To find missing interior angles, you have to add the two angles that are known and see how much they add up.  The work is done below:

40∘ + 75∘ = 115∘.

In order to find out the missing interior angle, we have to subtract 115∘ from 180∘ to find that angle:

180∘ - 115∘ = 65∘, which is the missing angle that is inside the triangle.

Now, you're probably wondering how any of this has to do with finding the angle that has a ? on it.  Well, us finding the missing interior angle inside of the triangle is what's going to help us find that angle with a ? on it.  To find that angle, you need to subtract 65∘ from 180∘ to find the angle that you need:

180∘ - 65∘ = 115∘.

Therefore, 115∘ is your answer.

Let me know if this is right! :)

The slope of the equation is -2/3, and the y-intercept is 490.

To change the equation 2x + 3y = 1,470 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to solve for y.

Starting with the given equation:

2x + 3y = 1,470

First, let's isolate y by subtracting 2x from both sides of the equation:

3y = -2x + 1,470

Next, divide both sides of the equation by 3 to solve for y:

y = (-2/3)x + 490

Now we have the equation in slope-intercept form, y = (-2/3)x + 490.

From this form, we can identify the slope and y-intercept:

The slope (m) is the coefficient of x, which is -2/3.

The y-intercept (b) is the constant term, which is 490.

Therefore, the slope of the equation is -2/3, and the y-intercept is 490.

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The amount you will have saved after 4 years with a monthly savings is B. $15,587.88.

To calculate the amount you will have saved after 4 years with a monthly savings of $300 and an annual interest rate of 4% APR, we can use the formula for compound interest.

First, we need to convert the APR to a monthly interest rate by dividing it by 12. So the monthly interest rate is (4% / 12) = 0.3333%.

Next, we calculate the future value of the savings using the formula:

Future Value = P(1 + r)^n - 1 / r

where P is the monthly savings amount, r is the monthly interest rate, and n is the number of months.

Plugging in the values:

Future Value = 300(1 + 0.003333)^48 - 1 / 0.003333

Calculating this expression, we get approximately $15,587.88.

Therefore, The correct answer is B. $15,587.88.

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Answer:

it is blocked

Step-by-step explanation:

Answer:

x = \(\frac{92}{9}\) or as a decimal 10.22

Step-by-step explanation:

Step 1 - Put them both into an equation in which it totals 90:

2x - 6 + 7x + 4 = 90

Step 2 - Add the like variables together:

2x + 7x -6 + 4

9x -2 = 90

Step 3 - Add two to each side:

9x -2 + 2 = 90 + 2

9x = 92

Step 4 - Divide both sides by 9 to find x:

\(\frac{9x}{9} = \frac{92}{9}\)

x = \(\frac{92}{9}\) or as a decimal 10.22

Hope this helps!

The two-column proof that proves that ΔRSV ≅ ΔTSV by the SSS congruence theorem is explained below.

A Two-Column Proof is a method of providing a logical step-by-step demonstration of a mathematical statement or theorem using a column for statements and a column for corresponding justifications or reasons.

Tus, we have the two-column proof as explained below:

Statement                            Reason                                        

1. RS ≅ TS, V is the             1. Given

midpoint of RT.                            

2. RV ≅ TV                          2. Def. of midpoint

3. SV ≅ SV                          3. Reflexive property of congruency.

4. ΔRSV ≅ ΔTSV                 4. SSS

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Answer:

11/20 is less than

Step-by-step explanation:

Since 11/20 is a fraction and 1 is a whole number.

Answer:

f(n+1) = f(n)+5

Step-by-step explanation:

So lets say

f(1)=5

f(2)=10

1+1=2 so

f(2)=f(1+1)

therefor

f(n+1)=f(n)+5 since the difference of the functions is 5

the answer is A f(n+1)=f(n)+5

we know that

An arithmetic sequence is a sequence of numbers which increases or decreases by a constant amount each term

In this problem

the sequence of numbers increase by a constant amount equal to

5

each term

so

f(2)=f(1)+5

f(3)=f(2)+5

f(4)=f(3)+5

.

.

f(n+1) = f (n) + 5

therefore

the answer is the option

f(n + 1) = f(n) + 5

Answer:

A

Step-by-step explanation:

Answer:

The measure of KJL is 25 degrees

Alt. interior angles

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

Multiply 17 x 12 and then divide 204 by 2 which gives you 102.

Step-by-step explanation:

Use Pythagorean Theorem  ( for RIGHT triangles such as this)  

hypot^2  = leg1 ^2  + leg2 ^2

x^2 = 17^2 + 12^2

x^2 = 433

x = 20.8 feet

Step-by-step explanation:

Starting with the equation x^2 + y^2 = 25, we can implicitly differentiate with respect to t using the chain rule:

2x dx/dt + 2y dy/dt = 0

Now we can plug in the given values for dy/dt, x, and y:

2(3) dx/dt + 2(4) (3) = 0

Simplifying:

6 dx/dt + 24 = 0

Subtracting 24 from both sides:

6 dx/dt = -24

Dividing by 6:

dx/dt = -4

Therefore, dx/dt = -4 when dy/dt = 3, x = 3, and y = 4.

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The value of the derivative, dx/dt is -4, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4.

1. Differentiate both sides of the equation x^2 + y^2 = 25 with respect to t. Use the chain rule for differentiating y^2 with respect to t.
  d(x^2)/dt + d(y^2)/dt = d(25)/dt

2. Apply the chain rule,
  2x(dx/dt) + 2y(dy/dt) = 0

3. Plug in the given values for x, y, and dy/dt,
  2(3)(dx/dt) + 2(4)(3) = 0

4. Simplifying the equation,
  6(dx/dt) + 24 = 0

5. Solve for dx/dt,
  6(dx/dt) = -24
  dx/dt = -24/6
  dx/dt = -4

So, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4, the value of the derivative, dx/dt is -4.

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