What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5

Answer:

C. y = -2x + 3

Step-by-step explanation:

The equation of a line in slope-intercept form is given as y = mx + b.

m = slope, while b = y-intercept.

We already know that the slope, m, = -2.

We are given a point also as (0, 3). This means, at x = 0, y = 3.

Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.

Thus,

Slope (m) = -2,

y-intercept (b) = 3

Plug these values into y = mx + b

✅The equation of the line in slope-intercept form would be:

y = -2x + 3

The correct answer is:

x = 0°, 30°, 150°, 180°

This is because the sine function equals 0 at 0° and 180° and equals 1/2 at 30° and 150°.

For the frequencies to be the same, we need to find values of n and m such that:

n = m

Solving for n and m, we get:

n = m = 2

So both functions complete two cycles in the interval [0, 2π).

We can find the times when this occurs by setting the angles in radians equal to multiples of 2π/2, or π:

2sin2x = sin x

2sin2x - sin x = 0

sin x (2sin x - 1) = 0

sin x = 0 or 2sin x - 1 = 0

sin x = 0 when x is an integer multiple of π.

2sin x - 1 = 0 when sin x = 1/2, which occurs when x = π/6 or x = 5π/6.

Therefore, the frequencies of the sound waves are the same at x = π/6, x = π/2, x = 5π/6, and x = 3π/2.

The correct answer is:

x = 0°, 30°, 150°, 180°

This is because the sine function equals 0 at 0° and 180° and equals 1/2 at 30° and 150°.

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The perimeter of the pond is 2.92 meters.

A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.

The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The perimeter of a right-angled triangle is the sum of the lengths of its three sides.

Here we have

The Hypotenuse of the triangle is 1.46 m    

The angle between hypotenuse and perpendicular height = 73°

From triagonometric ratios,

=> cos A = Perpendicular height/ Hypotenuse.

=> cos (73) = Perpendicular height/1.46

=> Perpendicular height = 1.46 × 0.29 = 0.42 m

As we know from Pythagoras' theorem,

Hypotenuse² = side² + side²    

Side = √Hypotenuse² - side²  

= √[(1.46)²- (0.42)²]  = 1.04

Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04

Hence, perimeter of the pond =  1.46 + 0.42 + 1.04 = 2.92 meters  

Therefore,

The perimeter of the pond is 2.92 meters.

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The complete Question is given below

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:

Step 1: Calculate the monthly interest rate

Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.

Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)

Step 2: Set up the equation for the number of months

Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:

(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0

Step 3: Solve the equation

To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.

Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.

After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

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Answer:

Step-by-step explanation:

The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.

At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).

Therefore, the mass of the drug in the organ at time t is 150 gm.

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Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

6.33333 is the answer <3

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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Answer:

50 in²

Step-by-step explanation:

Area of a rectangle = height x base length

Here, base length = 5 in and height = 10 in

So area = 5 x 10 = 50 in²

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Answer:

1. 0.12

2. 3.12

Step-by-step explanation:

Answer:

-14x² + 7x + 42

Step-by-step explanation:

(2x + 3)(x - 2) = 2x² - 4x + 3x - 6  =  2x² - x - 6

-7(2x² - x - 6) = -14x² + 7x + 42

Answer:

The number is gradually increasing representing the people entering the park, the number becomes constant after a while , and lastly the people are starting to leave causing the decline on the graph.

Step-by-step explanation:

This the plebian explanation of how my teacher it.

The graph is showing the entry of the people in the amusement park.

A graph represents the data on the vertical and horizontal coordinates so we can see the trend of the data.

A graph is a structure that resembles a set of items in mathematics, more specifically in graph theory, in which some pairings of the objects are conceptually "connected."

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

As more people visit the park, the number progressively rises; after a while, it stabilizes; and finally, as more people start to leave, it begins to drop on the graph.

Therefore, the graph is showing the entry of the people in the amusement park.

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Answer:

126

Step-by-step explanation:

131 + - 5 can either be;

131 + 5 = 136

131 - 5 = 126

The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.

There are no outliers in the Alaskan temperature data set provided.

Given that;

The Alaskan temperature data set,

5,12,14,19,19,21,25,29,33

Now, if there is an outlier in the Alaskan temperature data set, analyze the data and identify any values that significantly deviate from the typical range of values.

From the given data set:

5, 12, 14, 19, 19, 21, 25, 29, 33,

Since there does not appear to be a clear outlier.

All the values seem to follow a general increasing trend, with each subsequent value being greater than or equal to the previous one.

However, to be more certain, we can calculate the interquartile range (IQR) and use it to identify any potential outliers.

The IQR is found by taking the difference between the first quartile (Q₁) and the third quartile (Q₃).

In this case, Q₁ is the median of the first half of the data set, which is 14, and Q₃ is the median of the second half of the data set, which is 25.

IQR = Q₃ - Q₁

IQR = 25 - 14

IQR = 11

Now, define a criterion to identify outliers.

Typically, any value that falls below Q₁ - 1.5 IQR or above Q₃ + 1.5 IQR is considered an outlier.

Using this criterion, the lower outlier threshold is,

14 - 1.5 × 11 = -4.5

And, the upper outlier threshold is,

25 + 1.5 × 11 = 41.5.

Since none of the values in the data set fall below -4.5 or above 41.5, we can conclude that there are no outliers in the Alaskan temperature data set provided.

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Answer:

1. 90

4. 468

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.

Answer:

I believe that it is 4

Step-by-step explanation:

The slope would be 2/3 and you would go over right 3 because that's y, so if you go right 2 and up 3 (the slope), it would intercept at 6,2

Step-by-step explanation:

4k - 6 < 3k + (k - 1)

4k < 3k + 6(k - 1)

4k < 3k + 6k - 6

4k < 9k - 6

4k - 9k < -6

-5k < -6

k < -6

-5

k < 6

5

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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The calculated area of the door is 4.8 square meters

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

The composite figure

The total area of the composite figure is the sum of the individual shapes

So, we have

Area = Semicirce + Rectangle

Using the area formulas, we have

Area = 2.9 * 1.4 + 1/2 * 3.14 * (1.4/2) * (1.4/2)

Evaluate

Area = 4.8

Hence. the total area of the figure is 4.8 square meters

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Answer:

4

Step-by-step explanation:

boys increases : 50(0.12)=6

girls decreases : 40(-0.05)= -2

6 - 2 = 4 more people

Hope this helps

Answer:

Step-by-step explanation:

A suitable table or calculator is needed.

One standard deviation from the mean includes 68.27% of the total, so the number of bottles in the range 20 ± 0.16 ounces will be ...

  0.6827·26,000 = 17,750 . . . . . within 20 ± 0.16

__

The number below 1.5 standard deviations below the mean is about 6.68%, so for the given sample size is expected to be ...

  0.66799·26,000 = 1737 . . . . . below 19.76

_____

Comment on the first number

The "empirical rule" tells you that 68% of the population is within 1 standard deviation (0.16 ounces) of the mean. When the number involved is expected to be expressed to 5 significant digits, your probability value needs better accuracy than that. To 6 digits, the value is 0.682689, which gives the same "rounded to the nearest integer" value as the one shown above.

Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

Answer:

x = (-d - b)/(d - 9)

Step-by-step explanation:

Step 1: Write equation

dx + b = 9(x - d)

Step 2: Solve for x

Step-by-step explanation:

16 because 128 divided by 8 is 16

Answer:

I believe the correct answer is option 2

4 + (-9)

Answer:

0.1333

Step-by-step explanation:

Dado: 120 ÷ 900

\(\frac{120}{900}\)

\(\frac{12}{90}\)

= 0.1333

Answer:0.133333333

Step-by-step explanation:

Look man or lady,i dont speak Spanish, but that is the answer.(plus add a bar notation for the 3.

With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:

The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.

It doesn't matter how skilled an individual is if they can't operate as part of a team.

They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.

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