The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $19 per ticket to the planetarium. The second day they paid $85 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.

Answer:

v=6

Step-by-step explanation:

v²=u²+2as

v²=12²+2(-3)(18)

v²=144-108

v²=30

v=6

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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a) The solution is θ = 28° or 152°.(b) cos 0= -8722.  b) There is no solution for cos 0= -8722 on the interval 0° < 0 < 360°.

(a) The in question trigonometric ratio is sin =.4815. Let's use the signs sin, cos, and tan to draw the unit circle and the quadrants to solve this problem. We should find every one of the upsides of on the reach 0° to 360°. Since we have sin ratio, let's use the y-coordinate of the points on the unit circle to solve the problem. The sin ratio must be used to determine all of the y-coordinates of the points where the terminal side of the angle intersects the unit circle. This implies that we want to find all points where the y-coordinate is 0.4815. The calculator can be used to find all angles with sin of 0.4815. If sin is 0.4815, then sin 1(.4815) equals 28° or 152° in quadrant I or II, respectively. Therefore, the values of are 152° and 28° in the range from 0° to 360°. The result is = 28°, or 152°.

(b) cos 0= -8722 The trigonometric ratio is cos 0= -8722. Let's use the signs sin, cos, and tan to draw the unit circle and the quadrants to solve this problem. We are expected to locate all zeros within the 360-degree range. Since we already have one, let's use the x-coordinates of the points on the unit circle to solve for the cos ratio. The cos ratio must be used to determine all of the x-coordinates of the points where the terminal side of angle 0 intersects the unit circle. Consequently, we must locate all angles with x-coordinate -8722. To find all of the places where cos 0 is - 8722, we can use the calculator.cos 0= - 8722 implies0 = cos−1(- 8722)The worth of cos 0 can't be more unmistakable than 1 or not precisely - 1, accordingly, there is no plan on the given range 0° < 0 < 360°.Hence, there is no solution for cos 0= - 8722 on the stretch 0° < 0 < 360°.

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In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as

\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)

The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.

The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by

\(ε = (2^6/6!)f^(6)(c)\)

for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

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Answer:

(7.5, 3)

Step-by-step explanation:

(5,5) and (10, 1)

Midpoint:

\((\frac{x1 + x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{5 + 10}{2} ,\frac{5+1}{2} )\\\\(\frac{15}{2} ,\frac{6}{2} )\\\\(7.5,3)\)

Answer:

it should be (7.5,11.25)

Step-by-step explanation:

Answer:

  75 mph

Step-by-step explanation:

In this kind of problem, "per" means "divided by". To find miles per hour, compute miles divided by hours:

  (60 mi)/(4/5 h) = (60×5/4) mi/h = 75 mi/h

Nellie is going 75 miles per hour.

To modify your code to print a 1 if there are infinitely many solutions and a 0 if there are no solutions, you can add some additional checks after performing Gaussian elimination.

After performing Gaussian elimination, check if there is a row where all the coefficients are zero but the corresponding constant term is non-zero. If such a row exists, it indicates that the system of equations is inconsistent and has no solutions. In this case, you can print 0.

If there is no such row, it means that the system of equations is consistent and can have either a unique solution or infinitely many solutions. To differentiate between these two cases, you can compare the number of variables (unknowns) with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are infinitely many solutions. In this case, you can print 1. Otherwise, you can print the unique solution as you would normally do in your code.

By adding these checks, you can determine whether the system of linear equations has infinitely many solutions or no solutions and print the appropriate output accordingly.

To determine whether a system of linear equations has infinitely many solutions or no solutions, we can consider the behavior of the system after performing Gaussian elimination. Gaussian elimination is a technique used to transform a system of linear equations into a simpler form known as the reduced row echelon form.

When applying Gaussian elimination, if at any point we encounter a row where all the coefficients are zero but the corresponding constant term is non-zero, it implies that the system is inconsistent and has no solutions. This is because such a row represents an equation of the form 0x + 0y + ... + 0z = c, where c is a non-zero constant. This equation is contradictory and cannot be satisfied, indicating that there are no solutions to the system.

On the other hand, if there is no such row with all zero coefficients and a non-zero constant term, it means that the system is consistent. In a consistent system, we can have either a unique solution or infinitely many solutions.

To differentiate between these two cases, we can compare the number of variables (unknowns) in the system with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are more unknowns than equations, resulting in infinitely many solutions. This occurs because some variables will have free parameters, allowing for an infinite number of combinations that satisfy the equations.

Conversely, if the number of variables is equal to the number of non-zero rows, it indicates that there is a unique solution. In this case, you can proceed with printing the solution as you would normally do in your code.

By incorporating these checks into your code after performing Gaussian elimination, you can determine whether there are infinitely many solutions (print 1) or no solutions (print 0) and handle these cases appropriately.

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Answer:

1. n=24

2.n=10

3.n=11

4.n=2

5.n=24

6.n=4

7.n=9

8.n=5

9.n=4

10.n=2.1

11.n=3

12.n=18

13.n=45

14.n=15/4

15.n=3

16.n=35

Step-by-step explanation:

Answer:

Step-by-step explanation:

there u go!!

Answer:

43

Step-by-step explanation:

Trust me, this is the right answer.

Answer:

Rate of change =$43

Step-by-step explanation:

Rate of change is also known as the gradient or slope

Gradient= y2 - y1 / x2 - x1

The Xcoordinate is usually written first.

Y2 = 384

Y1= 169

X2=8

X1= 3

Rate of change= 384- 169 /8-3

= 215/5

= $ 43

Answer:

Simplifying by collecting like terms

Step-by-step explanation:

Given

See attachment for complete question

Required

The missing step

The missing step is at step 2.

At step 1, we have:

\(\frac{1}{2} - 2x +1 = -\frac{13}{2}\)

At step 2, we have:

\(\frac{3}{2} - 2x= -\frac{13}{2}\)

What she did at step 2, is that:

She collected like terms; 1 and \(\frac{1}{2}\)

Then she simplified the like terms: \(1 + \frac{1}{2} =\frac{3}{2}\)

Hence (a) is correct

The original price of the shoe before the discount was applied is $88

A pair of shoes is on sale for $76.50

A discount of 15% was applied on the shoe

The original price of the shoe can be calculated as follows

=15/100 × 76.50

= 0.15 × 76.50

= 11.5

= 11.5 + 76.50

= 88

Hence the original price of the shoes before the application of discount is $88

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Respuesta:

12

Explicación paso a paso:

Para encontrar este número, necesitamos escribir una expresión algebraica y resolver x.

sea x = el número

\(4x+20=68\)

Resta 20 en ambos lados

\(4x=48\)

Dividir por 4

\(x=12\)

Nuestro número será 12

Answer:

bbbb

Step-by-step explanation:

False

Triangle FEG is similar to triangle FDH

For similar triangles, the ratio of corresponding sides is equal

FD corresponds to FE

FH corresponds to FG

ED corresponds to GH

The ratio of the triangle sides:

The above is different form the ratio in the question as ED doesn't corresponds to FD.

Hence, It is False

30 meters is equivalent to 98.4252 feet. both are considered as unit of measurement of length.

To convert meters (m) to feet (ft), you can use the conversion factor of 3.2808. Multiply the number of meters by 3.2808 to get the number of feet. In this case, 30 meters multiplied by 3.2808 is equal to 98.4252 feet.

It's important to note that this conversion is based on the International System of Units (SI) and may not be the same in other systems of measurement.Also, it's important to remember that the foot (ft) and meter (m) are units of length and should not be confused with other units of measurements such as weight, area and volume.

It's important to use the correct unit of measurement for the task or the context, otherwise it could lead to errors and inaccurate results. Also, it's important to make sure that the measurements are made on the same scale, otherwise the conversions may not be accurate.

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Step-by-step explanation:

sine and cosine have a full cycle every 180° or pi (as the full circle is 360° or 2pi).

cosine starts with the value 1 (for theta = 0), goes to 0 for 90° or pi/2, then to -1 for 180° or pi, then again to 0 for 270° or 3pi/2. and back to 1 for 360° or 2pi.

and the next cycle begins ...

so,

cos(theta) = 0 for

theta = pi/2 and 3pi/2

When a point on a triangle is dilated, the coordinate of the vertex changes

The coordinate of the vertex after the dilation is (-1.5,4)

The given parameters are:

(x,y) = (-3,8)

k = 0.5

To calculate the coordinate of the vertex after the dilation, we make use of:

(x,y)' = k * (x,y)

So, we have:

(x,y)' = 0.5 * (-3,8)

Evaluate the product

(x,y)' = (-1.5,4)

Hence, the coordinate of the vertex after the dilation is (-1.5,4)

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Answer: x=12

Step-by-step explanation: 10(x−3)=90

(10)(x)+(10)(−3)=90 (Distribute)

10x+−30=90

10x−30=90

Step 2: Add 30 to both sides.

10x−30+30=90+30

10x=120

Step 3: Divide both sides by 10.

x=12

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

Answer:

Step-by-step explanation:

The solution is, The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

For this case we observe the cut point with the y axis in:

(0, 7)

The function that complies with this is:

y = 2 ^ (x + 2) +3

We have then:

y = 2 ^ (0 + 2) +3

y = 2 ^ (2) +3

y = 4 + 3

y = 7

Answer:

The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

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The given equations of planes are: 15x - 3y + 12z = 2  & 2y = 10x - 8z

To determine whether these planes are parallel, perpendicular or neither, we need to compare the normal vectors of the planes. The normal vector of a plane is given by the coefficients of x, y and z in the equation of the plane.

The normal vector of the first plane (1) is [15, -3, 12] and the normal vector of the second plane (2) is [10, 2, -8/2] = [10, 2, -4].

Now, to check if the planes are parallel or perpendicular, we can take the dot product of the normal vectors. If the dot product is 0, then the planes are perpendicular, and if it is non-zero, then the planes are parallel.

The dot product of the normal vectors of the given planes is:

[15, -3, 12] · [10, 2, -4] = (15)(10) + (-3)(2) + (12)(-4) = 0

Since the dot product is zero, the planes are perpendicular to each other.

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The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

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The probability of getting 2 or more heads in 5 successive coin tosses is 13/16 or approximately 0.8125.

To calculate the probability of getting 2 or more heads in 5 successive tosses of a fair coin, we need to consider all the possible outcomes that satisfy this condition.

The total number of possible outcomes when tossing a coin 5 times is 2^5 = 32, as each toss has 2 possible outcomes (heads or tails).

To find the probability of getting 2 or more heads, we need to calculate the probability of the complementary event, which is getting 0 or 1 head and subtract it from 1.

The probability of getting 0 heads (all tails) is (1/2)^5 = 1/32.

The probability of getting 1 head and 4 tails is (5 choose 1) * (1/2)^5 = 5/32.

Therefore, the probability of getting 2 or more heads is 1 - (1/32 + 5/32) = 26/32 = 13/16.

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Note that the absolute maximum and minimum values of f on the set d are:

The set d isthe set of all points (x, y)   such that x² + y² <= 1.

To find the absolute maximum   and minimum values of fon the set d, we can use the following steps.

The   critical points off ar -

(0, 0)

(1,   0)

(0,1)

The values of-f at the critical points are -

f(0, 0) = 0

f(1,   0)  =-16

f(0,   1) =-16

The values of f at the boundary points of d are

f(0,   1) =-16

f(1,1)    = -16

f(-1,0)   = -16

f(0,   -1)= -16

The largest value   off is 0, and   the smallest value of f is -16.

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Answer:

She is

If each of the 6 containers is 1/3 full, the total containers filled = 6 x 1/3 = 2 containers

Unfilled containers = 6 - 2 = 4 containers

she has 4 containers

Step-by-step explanation:

Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.