what is 3 and 1/2 divided by 4/5

Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8

Step-by-step explanation:

Answer:

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Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

The largest total area that can be enclosed is 4050 square yards.

Let's the length of the rectangular corral for cattle as x and the length of the rectangular corral for sheep as y.

For the cattle corral:

- Two sides with length x.

- One side with length y.

For the sheep corral:

- Two sides with length y.

- One side with length x.

As, the total fencing required is 270 yards

2x + y + 2y + x = 270

3x + 3y = 270

x + y = 90

Now, area of a rectangle is given by the formula A = length × width.

For the cattle corral = x × y

For the sheep corral= y × x

So, the total area is

= x × y + y × x

= 2xy

From this equation, x + y = 90

x = 90 - y.

Substituting this into the equation for A total:

A total = 2(90 - y)y = 180y - 2y²

To find the maximum area, take the derivative of A_total with respect to y and set it equal to zero.

\(\dfrac{dA_{total}}{dy}\) = 180 - 4y = 0

Solving for y:

180 - 4y = 0

4y = 180

y = 45

Substituting this value of y back into the equation x + y = 90:

x + 45 = 90

x = 45

Therefore, the dimensions that maximize the total area enclosed are x = 45 and y = 45.

So, the maximum area

=2 (45) (45)

= 4050 square yards

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Answer:

yes agreed

Step-by-step explanation:

a+a=2a

b+b=2b

=2a+2b

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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Answer:

The estimated standard error is \(s_M = 1.065\).

The t statistic is \(t = 0.845\).

Step-by-step explanation:

The test statistic is:

\(t = \frac{X - \mu}{s_M}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s_M = \frac{s}{\sqrt{n}}\) is the standard error, s is the standard deviation and n is the size of the sample.

The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours.

This means that \(\mu = 16\)

Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours.

This means that \(n = 35, X = 16.9, s = \sqrt{39.7} = 6.30\)

The estimated standard error is:

\(s_M = \frac{s}{\sqrt{n}} = \frac{6.30}{\sqrt{35}} = 1.065\)

The estimated standard error is \(s_M = 1.065\).

Calculate the t statistic.

\(t = \frac{X - \mu}{s_M}\)

\(t = \frac{16.9 - 16}{1.065}\)

\(t = 0.845\)

The t statistic is \(t = 0.845\)

If he gives ninety-three centimeters of the rope to his brother, Ravi has 132 centimeters of rope left.

Two and one-fourth meters of rope can be written as 2.25 meters. Since 1 meter is equal to 100 centimeters, we can convert 2.25 meters to centimeters by multiplying it by 100, giving us 225 centimeters.

If Ravi gives 93 centimeters of the rope to his brother, we can subtract it from the original length to find how much rope he has left.

225 cm - 93 cm = 132 cm

In general, to convert between meters and centimeters, you can multiply the number of meters by 100 to get the length in centimeters. To convert between centimeters and meters, you can divide the number of centimeters by 100 to get the length in meters.

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Answer:

3 Rows

Explanation:

Total number of students in the orchestra = 27

Number of Students per row =9

Therefore, the number of rows of students present

= 27/9

= 3 Rows.

Answer:

hacunamatata

Step-by-step explanation:

it means no worrys

Answer:

Step-by-step explanation:

is C  -1/2

y=mx+b

2y=6-x

y=-x/2 +3

m=-1/2

multiply x with x:

5×-8= -40

multiply y with y:

-4×7=-28

Answer:

(-40,-28)

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

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

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

y = (-3)2^x

Step-by-step explanation:

We can substitute the two points in the equation y = abˣ and we get two equations. By solving the two equations, we can find the values of a and b.

Substitute (0, -3)  in the equation y = abˣ            

-3 = a * b⁰            

-3 = a * 1              

\(\boxed{\bf a = -3}\)

Substitute (4, -48) in the equation y =abˣ

-48 = (-3) * b⁴

\(\dfrac{-48}{-3}=b^4\\\\ b^4 = 16\\\\b^4 = 2^4\\\\ \boxed{\bf b = 2}\)

Exponential function:

           \(y = (-3)2^x\)

Answer:

90 miles

Step-by-step explanation:

120/4 = 30

30 m/hour

3 hours = 30x3 = 90 miles

Answer:

it would be the first box

Step-by-step explanation:

Answer:

Number 1 would be a line, you can put values of x and you will get values of y which give you points of that plot, or viceversa.

Number 2 is an horizontal line, as y remains the same all time, in this case, we find an horizontal line which covers all the x-axis.

Number 3 is a vertical line, as x remains the same all time,  in this case, we find a vertical line which covers all the y-axis

So the solution is the third box

(a) The mean of the data item from the group data is 161.

(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.

(c) The sum of the deviation is 0

Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

(a) To find the mean of the data, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.

M' = x-M

For data 115,

For data 156,

For data 162,

For data 164,

For data 168,

(c) The sum of the deviation is

Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7  and the sum of the deviation of the data is 161 and 0 respectively,

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All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

y = 4^x and y = log_4x are inverses of each other is true.

The transformation that takes the graph of the function f(x) = e^x to

f(x) = -e^x - 2 is a reflection about the x-axis followed by a vertical shift downward by 2 units.

We have,

To show that y = 4^x and y = log_4x are inverses of each other, we need to show that:

The domain of 4^x is (−∞, ∞), and the range is (0, ∞).

The domain of log_4x is (0, ∞), and the range is (−∞, ∞).

For any x in the domain of 4^x, we have log_4(4^x) = x.

For any x in the domain of log_4x, we have 4^(log_4x) = x.

These conditions are indeed satisfied,

So y = 4^x and y = log_4x are inverses of each other.

The graph of f(x) = e^x can be transformed into the graph of f(x) = -e^x - 2 using the following transformations:

- Reflection about the x-axis:

f(x) → -f(x)

This will reflect the graph of f(x) = e^x about the x-axis so that it is now below the x-axis.

- Vertical shift downward by 2 units:

f(x) → f(x) - 2

This will shift the graph downward by 2 units, so that it is now centered at (-∞, -2).

Therefore,

y = 4^x and y = log_4x are inverses of each other is true.

The transformation that takes the graph of the function f(x) = e^x to

f(x) = -e^x - 2 is a reflection about the x-axis followed by a vertical shift downward by 2 units.

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Answer:

See explanation.

Step-by-step explanation:

\((6^2)^x = 1\\= 36^x\\= 36^-^1\\= 1.\)

B: Can't solve it, sorry.

Answer:

41.4%

Step-by-step explanation:

120/290 = x/100

290x = 120 * 100

x = 41.3793...

Answer:

x=-1

Step-by-step explanation:

given data:

-5|2x+2|-3>-3

let us simplify,

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Answer:

2

Step-by-step explanation:

Answer:

\( \frac{3}{x + 5} + \frac{4}{x + 1} \)

\( = \frac{3(x + 1) + 4(x + 5)}{ (x + 1)(x + 5)} \)

\( = \frac{ 3x + 3 + 4x + 20}{ {x}^{2} + 6x + 5 } \)

\( = \frac{7x + 23}{{x}^{2} + 6x + 5} \)

Answer:

Step-by-step explanation:

Slope m = rise / run = (\(y_{2}\) - \(y_{1}\)) / (\(x_{2}\) - \(x_{1}\))

1). (-4,3)

   (4, - 1)

m = (-1 - 3) / (4 + 4) = - 1/2

2). (-1, 1)

    (2, - 5)

m = (- 5 - 1) / (2 + 1) = - 2  

3). (6, 4)

    (5, 4)

m = (4 - 4) / (5 - 6) =  0  (graph is horizontal line)

4). (1, 4)

    (4, 1)

m = (1 - 4) / (4 - 1) = - 1

5). - 3/4

6). 4/3

Now is your turn. You can do it!!!

7). (1, 1)

   (2, 2)

m = ____

8). ( __ , __ )

  ( __ , __ )

m = _____  

9). (0, 2)

   (0, 4)

m = (4 - 2) / (0 - 0) = undefine slope or no slope (graph is vertical line)

10).

Answer:

Step-by-step explanation:

Saving = old cost - new cost

Saving = ($4 * 1000/30 per month for a year) - ($4 * 1000/50 per month for a year)

Saving = (4000/30 * 12) - (4000/50 * 12)

Saving = (1600) - (960)

Saving = $640 a year

Answer:

24/9

Step-by-step explanation:

To get from 3 to 9, you multiply by 3. If you want to make the fractions equivelnt, you need to multiply 8 by 3. That is 24. The fraction is 24/9.

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).