The number of hours julie practices her violin each week, y, is 3 hrs more than the numbers of hours she studies, x. write an equation to show the relationship of the two activities.

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

Answer:

Linear Function

Step-by-step explanation:

8x-3y = -2

-3y = 8x-2

3y = -8x+2

y = \(\frac{-8x+2}{3}\)

y = \(-\frac{8}{3}x+\frac{2}{3}\)

Linear Function

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

Step-by-step explanation:

the line passes through (0,-2) and perpendicular to the graph of y=5x+7.

solution :

the slope = -1/5

the equation :

y+2 = -1/5 (x-0)

y = -1/5x - 2

The side length of the square formed by joining mid points of the sides of ABCD is; 9√2

We are given;

Side length of square ABCD = 18 Inches

The midpoints of ABCD are joined to form a square abcd

To find the side length of abcd;

Since a,b,c,d are midpoints of ABCD, then;

ab = bc = cd = ad

We will use Pythagorean theorem to get; ab, bc, cd and ad.

Thus;

ab = √(9² + 9²)

ab = 9√2

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The slope of the line that passes through (5, 8) and (11, 5) in its simplest form is - 1/2

The slope of a line refers to the change in the dependent variable (y) as a result of a change in the independent variable (x).

The slope can be found by the formula:

= Change in y / Change in x

Given the points, (5, 8) and (11, 5):

Change in y = (5 - 8)

Change in x = (11 - 5)

The slope can therefore be found to be:
= (5 - 8 ) / (11 - 5)

= -3 / 6

= - 1/2 in simplest form

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Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

A confidence interval cannot instantly lead to rejecting the null hypothesis in a hypothesis test. In the given case the null hypothesis is either rejected or rejected based on test statistics.

α = 0.05

μ = 2

If the confidence interval is 1.0 or 2.0, then the null hypothesis value of 2 drops exceeds the interval, this makes the data contradict the null hypothesis and may reject the null hypothesis.

This alone would not be good to decline the null theory - the conclusion to reject or not reject the null hypothesis is determined by the test statistic and the alternate p-value.

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Answer:

the first one is correct

Step-by-step explanation:

this is the same way as writing 7 to the power of four, but all of the sevens are negative in your case

Answer:-7x-7x-7x-7

Step-by-step explanation:

sin O = 1/2 = p/h

p=1, h = 2.

by pythagoras tgeorem,

b =

\( \sqrt{3} \)

tan0= p/b

\(1 \div \sqrt{3} \)

Given;

To Determine: The future value after 2 years if the compounded daily

Solution:

The future value of a compound interest is calculated using the formula

Substitute the given into the formula

Hence, the future value is $79,429.00

If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.

In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.

The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.

The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.

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Answer:

the 12th day

The general solution of the given differential equation is:

\(\[ y(x) = C_1e^{-\frac{x}{4}}\sin\left(\frac{\sqrt{15}x}{4}\right) + C_2e^{-\frac{x}{4}}\cos\left(\frac{\sqrt{15}x}{4}\right) \]\)

where \(\( C_1 \)\) and \(\( C_2 \)\) are constants of integration.

To solve the given differential equation, we follow these steps:

⇒ Write the differential equation

\(\[ 16y'' + 8y + y = 0 \]\)

⇒ Assume a solution of the form \(\( y(x) = e^{mx} \)\)

⇒ Calculate the derivatives of \(\( y \)\)

\(\[ y' = me^{mx}, \quad y'' = m^2e^{mx} \]\)

⇒ Substitute the derivatives into the differential equation

\(\[ 16m^2e^{mx} + 8e^{mx} + e^{mx} = 0 \]\)

⇒ Factor out the common term \(\( e^{mx} \)\)

\(\[ e^{mx}(16m^2 + 8m + 1) = 0 \]\)

⇒ Solve the quadratic equation \(\( 16m^2 + 8m + 1 = 0 \)\) to find the roots

Using the quadratic formula, we have

\(\[ m = \frac{{-8 \pm \sqrt{8^2 - 4(16)(1)}}}{{2(16)}} = \frac{{-1 \pm \sqrt{15}i}}{4} \]\)

⇒ Express the roots in exponential form

\(\[ m_1 = \frac{1}{4}e^{i\frac{\pi}{3}}, \quad m_2 = \frac{1}{4}e^{-i\frac{\pi}{3}} \]\)

⇒ Write the general solution using the exponential form of the roots

\(\[ y(x) = C_1e^{m_1x} + C_2e^{m_2x} \]\)

⇒ Substitute the exponential forms of \(\( m_1 \)\) and \(\( m_2 \)\) into the general solution

\(\[ y(x) = C_1e^{-\frac{x}{4}}\sin\left(\frac{\sqrt{15}x}{4}\right) + C_2e^{-\frac{x}{4}}\cos\left(\frac{\sqrt{15}x}{4}\right) \]\)

Hence, the complete solution to the differential equation \(\( 16y'' + 8y + y = 0 \)\) is given by

\(\[ y(x) = C_1e^{-\frac{x}{4}}\sin\left(\frac{\sqrt{15}x}{4}\right) + C_2e^{-\frac{x}{4}}\cos\left(\frac{\sqrt{15}x}{4}\right) \]\)

where \(\( C_1 \)\) and \(\( C_2 \)\) are arbitrary constants.

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To find the general solution of the differential equation 16y" + 8y + y = 0, we can use the characteristic equation method. Let's assume that y(t) can be expressed as a function of t in the form of \(y(t) = e^(rt)\), where r is a constant to be determined.

First, let's find the first and second derivatives of y(t):

\(y'(t) = re^(rt)y''(t) = r^2e^(rt)\)

Substituting these derivatives into the differential equation, we have:

\(16y'' + 8y + y = 16(r^2e^(rt)) + 8e^(rt) + e^(rt) = 0\)

Factoring out \(e^(rt),\)we get:

\(e^(rt)(16r^2 + 8r + 1) = 0\)

For this equation to hold true for all t, the coefficient of \(e^(rt)\) must be zero:

\(16r^2 + 8r + 1 = 0\)

We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, it is simpler to use the quadratic formula:

\(r = (-8 ± sqrt(8^2 - 4 * 16 * 1)) / (2 * 16)r = (-8 ± sqrt(64 - 64)) / 32r = (-8 ± 0) / 32r = -1/4\)

We obtain a repeated root, \(r = -1/4.\)

Thus, the general solution of the differential equation is:

\(y(t) = C1e^(-t/4) + C2te^(-t/4)\)

Where C1 and C2 are arbitrary constants of integration.

In this form, we have expressed the general solution of the given differential equation. The term \(C1e^(-t/4)\) represents the contribution of the first constant, while the term \(C2te^(-t/4)\)accounts for the second constant and the linear factor t.

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A type of article that provides a quantitative summary of the evidence is a systematic review and meta-analysis.

A systematic review is a comprehensive and rigorous approach to synthesizing existing research literature on a specific topic. It involves a systematic search for relevant studies, an assessment of their quality and relevance, and a synthesis of the findings.

A meta-analysis, on the other hand, is a statistical method that combines the results of multiple studies to generate a quantitative summary of the evidence.

Systematic reviews and meta-analyses are considered the highest level of evidence in evidence-based medicine and other fields. They provide an objective and rigorous assessment of the available evidence, helping to guide clinical practice, policy decisions, and further research.

By pooling data from multiple studies, meta-analyses can provide more precise estimates of treatment effects or other outcomes of interest.

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Answer:

27

Step-by-step explanation:

Width = w

length = l

w=1/3 * l

or, l=3w

perimeter=2l+2w=24

2(l+w)=24

2(3w+w)=24

2*4w=24

8w=24

w=3

l=9

Area=3*9=27

Answer:

answer is, 1.96, 32.76%6=1.96

Answer:

Step-by-step explanation:

$32.74 x 6% = $34.70

$1.96 for specifics, rounds to $2.00

The examples of SAS (Statistical Analysis System) are Mathematical Programming

SAS is a statistical software suite developed by the SAS Institute for data management, advanced analytics, multivariate analysis, business intelligence, criminal investigations, and predictive analytics. It is used for

Examples of SAS are :

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The paint cans and the spaces serve as examples of equivalent ratios. 5.5 cans of paint will be required to cover 2200 sq. unit.

Two ratios that have the same values are said to be equivalent. The same number can be used to multiply or divide both sums to get an equivalent ratio. The method is the same as determining equivalent fractions. When two or more ratios are reduced to their most basic form, they have the same value. Examples of equivalent ratios are 1:2, 2:4, and 4:8. In their most basic form, all three ratios have the same value, which is 1:2. They are in proportion if two ratios are equal. Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same.

To paint a 2200 square unit space, 5.5 cans are required.

The given parameter is:

Cans: Area\(=1:400\)

Express as fraction

Cans/Area\(=1/400\)

Multiply both sides by Area

Cans\(=\frac{1}{400}*Area\)

When the area is 2200, we have:

Cans\(=\frac{1}{400}*2200\)

Cans\(=5.5\)

5.5 cans are therefore required to paint a 2200 units square space.

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Answer:

25

Step-by-step explanation:

The correct answer for the given expression is 99.22.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = \(({5 -\dfrac{10}{27}})^3\)

E = \((\dfrac{135-10}{27})^3\)

E =\(\dfrac{125}{27}^3\)

E = 99.22

Therefore the correct answer for the given expression is 99.22.

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Answer:

3rd box and last box

Step-by-step explanation:

it's is thise because i had that same question and those where the answers

Answer:

Step-by-step explanation:

Define Variables:

Let p= the price of each peach

Let m=the price of each mango

One peach costs $p, so 5 peaches cost 5p. One mango costs $m, so 6 mangos cost 6m. The total cost 5p+6m equals $17.75:

5p+6m=17.75

Likewise, if 2 peaches and 3 mangos cost $8, then:

2p+3m=8

Write System of Equations:

5p+6m=17.75

2p+3m=8

System of equations that could be used to determine the price of each peach and the price of each mango is 5p + 6m = 17.75 and 2p + 3m = 8.

Let p= the price of each peach

Let m=the price of each mango

One peach costs $p, so 5 peaches cost 5p. One mango costs $m, so 6 mangoes cost 6m. The total cost 5p+6m equals $17.75:

5p+6m=17.75

Likewise, if 2 peaches and 3 mangoes cost $8, then:

2p+3m=8

System of Equations:

5p+6m=17.75

2p+3m=8

Therefore System of equations that could be used to determine the price of each peach and the price of each mango is 5p + 6m = 17.75 and 2p + 3m = 8.

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The requirement that we are strictly failing when using the critical z value is the knowledge of the population standard deviation.

The problem with calculating the confidence interval using the critical z value is that it assumes the population standard deviation is known.

This assumption is often not realistic because in most cases, the population standard deviation is unknown and needs to be estimated from the sample data.

When the population standard deviation is unknown, it is more appropriate to use the t-distribution instead of the standard normal distribution (z-distribution) to calculate the confidence interval.

The t-distribution takes into account the uncertainty introduced by estimating the population standard deviation from the sample.

Therefore, the requirement that we are strictly failing when using the critical z value is the knowledge of the population standard deviation.

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Answer:

the answer is = a) 480 cm³

The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different

In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.

To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:

sin(A)/a = sin(B)/b = sin(C)/c

This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.

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Answer:

Step-by-step explanation:

Answer:

8 km

Step-by-step explanation:

It is given that, the scale of a map says that 8 cm represents 5 km. We need  to find the  actual number of kilometers that is represented by 5 centimeters on the map.

8 cm = 5 km

1 cm = (8/5) km

For 5 cm, multiply (8/5) km by 5.

So,

x = 8 km

So, 8 km is represented by 5 centimeters on the map.