janet and her parents are going to visit scotsbury college, which is 420 miles from where they live. they plan to drive for 4.5 hours on the first day, then stop at a hotel for the night and complete the trip on the second day. they expect their average speed will be 60 miles per hour.

Answer:

no they are not similar

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:   :)

The while loop that reads the integers and add them is given as follows:

do{

scanf(%d, &val);

if(val != 1)

sum += val;

}while(val != 1);

printf("%d\n", sum);

The variables needed for the for loop are given as follows:

int val, sum;

The condition on the while statement is that the integer cannot be one, when it is one the program exists the while loop.

The print command shows the result of the sum.

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The linear function that best models line l is given as follows:

F. x = 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

For a vertical line, the slope is undefined, hence the function is given as follows:

x = c.

The function in this problem has a x-coordinate of 4 for all values of y, hence it is defined as follows:

x = 4.

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The system of equations that represent this situation is given as follows:

The variables for the system of equations are given as follows:

The total weight is of 120 kg, hence the first equation is given as follows:

d + m = 120.

Her recipe calls for twice the amount of dark chocolate as milk chocolate, hence the second equation is given as follows:

d = 2m.

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The simplified form of complex number (2+3i)(4-i) is 11+10i.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here,

A) (3 + 2i) + (5 - 3i)

= 3+2i+5-3i

= 8-i

B) (-5 + 3i) - (6 - i)

= -5+3i-6+i

= -11+4i

C) (-4+4i)-(-6+9i)

= -4+4i+6-9i

= 2-5i

D) (2+3i)(4-i)

= 8+12i-2i-3i²

= 8+10i+3

= 11+10i

E) (2-3i)/(4+3i)

Rationalize denominator, that is

(2-3i)×(4-3i)/(4+3i)×(4-3i)

= (8-12i-6i+9i²)/(16-9i²)

= (8-18i-9)/25

= (-18i-1)/25

Therefore, the simplified form of (2+3i)(4-i) is 11+10i.

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Answer:

Below

Step-by-step explanation:

You are given beats (195)   and  minutes (3)  and want beats/ minute

195 beats / 3 min  = 65 beats per minute

260/4 = 65 beats/min

325 / 5 =65 beats/min

Answer:

So the perimeter of the rectangle is 33y + 1 feet.

Step-by-step explanation:

Let's call the width of the rectangle "w" and the length "l". From the given information, we have:

w = 7y - 9.5

l = 9.5y + 10

The perimeter of a rectangle is equal to the sum of the lengths of all four sides, so we can find the perimeter by adding up the values of w and l:

P = 2w + 2l

= 2(7y - 9.5) + 2(9.5y + 10)

= 14y - 19 + 19y + 20

= 33y + 1

So the perimeter of the rectangle is 33y + 1 feet.

Answer:

Rectangle

Solve for perimeter

P=33

length =9.5

Width =7

Step-by-step explanation:

the answer is 33

Hope this helps!!

Answer:

Step-by-step explanation:

Yo-yo

15/6 = $2.50

The graph of the function y = x for x ∈ [0, 4] is a line segment that starts at the point (0, 0) and ends at the point (4, 4).

The equation y = x represents a linear function with a slope of 1. The graph of this function is a line that passes through the origin and has a slope of 1. The x-coordinates of the points on this line are in the interval [0, 4], meaning that the function takes in x-values between 0 and 4.

The y-coordinates of the points on the graph are also in the interval [0, 4], meaning that the range of the function is y ∈ [0, 4]. The graph of the function y = x for x ∈ [0, 4] is a line segment that starts at the point (0, 0) and ends at the point (4, 4).

A number system is a system of writing and representing numbers. There are several different number systems, including:

Natural numbers: The set of positive integers (1, 2, 3, 4, ...).

Integers: The set of positive and negative whole numbers, including zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

Rational numbers: The set of numbers that can be expressed as a fraction of two integers.

Real numbers: The set of numbers that include all the rational numbers and also the irrational numbers, which cannot be expressed as a simple fraction of two integers.

Complex numbers: The set of numbers that consist of a real part and an imaginary part, represented as a + bi, where a and b are real numbers and i is the imaginary unit (i^2 = -1).

Each number system has its own properties and uses in different fields of mathematics and science. For example, natural numbers are used in counting and counting problems, rational numbers are used in finance and economics, real numbers are used in geometry and calculus, and complex numbers are used in electrical engineering and physics.

Following is the graph of the given problem -

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The entropy of the random variable X in this case is approximately 1.585 bits.

The entropy of a random variable X is a measure of the uncertainty associated with it. In this case, the random variable X is the number of selections required to choose the number 3.

Since the numbers are selected without replacement, the possible values for X are 1, 2, and 3, and the probabilities for each value are:

P(X=1) = 1/3

P(X=2) = 2/7

P(X=3) = 4/7

The entropy of a random variable X in bits is given by the formula:

H(X) = -∑P(X) log2(P(X))

Plugging in the probabilities above:

H(X) = -(1/3 log2(1/3) + 2/7 log2(2/7) + 4/7 log2(4/7))

H(X) = 1.585 bits

So, the entropy of the random variable X in this case is approximately 1.585 bits.

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Answer:

They sold 80 hamburgers and 72 salads.

Step-by-step explanation:

1) 72x7= 504

2) 80x5=400

3) 504+400=$904

The solution is, 46 quarts (qt) = 46*4*8 oz

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

1 qt = 4 cups,

1 cup = 8 oz

so, we get,

46 quarts (qt) = 46*4 cup

i.e. 46 quarts (qt) = 46*4*8 oz

Hence, The solution is, 46 quarts (qt) = 46*4*8 oz

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The image below is  a reduction, the scale factor is 1/5.

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]

Thus, scale factor is the ratio of the new measurement to the old measurement.

Given;

The two triangle with  4cm, 5cm, 3cm and  20cm, 25cm, and 15cm.

Now,

s=4/20=1/5

s=5/25=1/5

s=3/15=1/5

Therefore, the scale factor will be 1/5.

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Answer:

120

Step-by-step explanation:

To find the volume you multiply L = 10, W = 3, and H = 4

10 x 3 x 4

30 x 4

120

A mean is an arithmetic average of a set of observations. The correct option is D.

A mean is an arithmetic average of a set of observations. It is given by the formula,

Mean = (Sum of observations)/Number of observations

To make the calculations easy let's round off the given numbers. Therefore, we can write the values as,

Least expensive A=30

Most expensive B=90

half of order C=70

Now, the mean and the money for half the people can be written as,

Mean = (least + most)/2 = 60

money for half people = 5 × 60

Therefore, the amount of money for half people will be,

Amount of money for half people = 300

Lower limit for amount of the other half = 29.95 × 5 = 149.5

The Upper limit for the amount of the other half = 89.95 × 5 = 449.75

Mean = (149.75 + 449.75)/2 = 299.6Total money spent (Mean) = 299.6 + 299.6 = 599.25

Hence, The Best estimate is $660. This is because it is closest to 599.25.

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Ten people ordered calculators. The least expensive was $19.95 and the most expensive was$39.95. Half ordered a $29.95 calculator. Select the best estimate of the amount spent on calculators.

a.$240,

b. $310,

c.$345,

d. $355

The total number of DVDs ordered after m months since the beginning of the year.

The antiderivative of the rate of change of DVD orders can be represented by the general equation: S(m) = 500m^2/2 + 8m + C. To calculate the antiderivative, we first need to find the integral of the function. We can do this by multiplying the rate of change by the differential of m, which is just dm. This gives us 500m^2/2 + 8m, which is our integrand. Finally, we integrate this expression with respect to m to get our desired antiderivative. This gives us 500m^2/2 + 8m + C, where C is the constant of integration. This equation represents the total number of DVDs ordered after m months since the beginning of the year.

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Answer:

  24 m, 25 m

Step-by-step explanation:

You want the two sides of a right triangle that are consecutive integers when one side is 7 m.

Let the shorter side be represented by x. Then the longer side is x+1, and the Pythagorean theorem tells you ...

  7² +x² = (x+1)²

  49 +x² = x² +2x +1

  48 = 2x . . . . . . subtract (x²+1)

  24 = x

  x+1 = 25

The other sides are 24 and 25 meters.

__

Additional comment

You know that 7 is not the hypotenuse, because a 3-4-5 right triangle is the only right triangle with consecutive integer leg lengths and a hypotenuse of 7 or less. (The next nearest right triangle with consecutive leg lengths is {20, 21, 29}, with a hypotenuse of 29.)

You may recognize the side lengths as the Pythagorean Triple {7, 24, 25}, one of the triples commonly seen in algebra and trig problems.

Answer: Im pretty sure the answers are B and C

Step-by-step explanation:

if you start with [tex]\frac{2(3x-6)}{3}[/tex] and distribute the 2

[tex]2*3=6[/tex]

[tex]2*-6=-12[/tex]

So you are left with [tex]\frac{6x-12}{3}[/tex]

[tex]\frac{6x}{3}=2x[/tex]

[tex]\frac{-12}{3}=-4[/tex]

[tex]2x-4[/tex]

The area between the curves is 18 square units.

First, we should find the area between the curves 2x+y²=8 and y=x, we can find the area of curves by substituting y for x in equation 2x+y²=8.

The given equation is 2x+y²=8 and for this, we have to find the roots:

2y+y²=8

y²+2y−8=0

(y+4)(y−2)=8

so the line y=x intersects the parabola 2x+y²=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y²=8 for x yields x=4−1/2y²

From sketching the graphs of the parabola and the line, we can see that the x-values on the parabola lie on the line in the interval of −4≤y≤2.

The area between curves is:

[tex]A=\int\limits^2_4 {(4-\frac{1}{2}y^2-y) } \, dy\\\\A=(4y-\frac{1}{6} y^3-\frac{1}{2} )^2_-_4[/tex]

A=(8-4/3-2)-(-16+32/3-8)

A =18 square units.

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.

We estimate that, based on the sample, 9.18% of Oregon whelks will drill into mussels.

We can calculate the estimated proportion of Oregon whelks that will drill into mussels by using the following formula: [tex]$\hat{p} = \frac{x}{n}$[/tex], where x is the number of whelks that drilled into mussels and $n$ is the total number of whelks in the sample.

In this example, x is equal to 9, and n is equal to 98. Thus, the estimated proportion of Oregon whelks that will drill into mussels is [tex]$\hat{p} = \frac{9}{98} = 0.0918$[/tex]. This means that, based on the sample, we estimate that 9.18% of Oregon whelks will drill into mussels.

We estimate that, based on the sample, 9.18% of Oregon whelks will drill into mussels.

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Q is not isomorphic to the dihedral group D4 because the dihedral group D4 is abelian, while Q is not.

(a) The full 8 × 8 multiplication table for Q is as follows:

1    i    j    k    -1   -i   -j   -k

1    i    j    k    -1   -i   -j   -k

i    -1   k    -j   -i   1    -k   j

j    -k   -1   i    -j   k    1    -i

k    j    -i   -1   -k   -j   i    1

-1   i    j    k    1    -i   -j   -k

-i   -1   -k   j    i    1    k    -j

-j   k    1    -i   j    -k   -1   i

-k   -j   i    1    k    j    -i   -1

(b) The inverse of each element of Q is as follows:

1: 1

i: -i

j: -j

k: -k

-1: -1

-i: i

-j: j

-k: k

(c) The order of each element of Q is as follows:

1: 1

i: 4

j: 4

k: 4

-1: 2

-i: 4

-j: 4

-k: 4

(d) The conjugacy classes of Q are as follows:

{1}, {-1}, {i, -i}, {j, -j}, {k, -k}.

(e) One way to see that Q is not isomorphic to the dihedral group D4 is that the dihedral group D4 is abelian, while Q is not.

Q is not isomorphic to the dihedral group D4 because the dihedral group D4 is abelian, while Q is not.

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Answer:

image 2

1. SSS

2. AAS

3. SAS

Activity-based costing is a method of assigning overhead costs to activities and then assigning those costs to products, and is calculated by dividing total overhead cost by total number of activities and multiplying by the number of activity units associated with the activity.

Activity-based costing (ABC) is a costing method that assigns costs to activities within an organization, and then assigns the cost of those activities to products. The goal of ABC is to more accurately assign overhead costs to products or services. ABC begins by assigning a cost to each activity based on the cost of the resources used to complete the activity. This is normally done by gathering cost data from different departments and then assigning overhead costs to each activity.

For example, the formula for activity-based costing is:

Activity Cost = (Total Overhead Cost / Total Number of Activities) x Number of Activity Units

For example, if a company has total overhead costs of $100,000 and 10 different activities, the cost for each activity would be $10,000. If one of those activities had 10 units associated with it, the cost of that activity would be $1,000 (or $10,000/10 x 10).

Once the cost of each activity is determined, the cost of the activity can be assigned to the products or services that use the activity. This allows the company to better understand the cost associated with each product or service. By understanding the costs associated with each product and service, the company can better manage the costs associated with producing and selling their products.

Activity-based costing is a method of assigning overhead costs to activities and then assigning those costs to products, and is calculated by dividing total overhead cost by total number of activities and multiplying by the number of activity units associated with the activity.

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Answer:2.5,21,166,1132

Step-by-step explanation:

The inequality that represents the number of dollars in John’s bank account at the end of the month is  d > - 25.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Tim’s goal is to have more than - $25 in his bank account by the end of the month.

Let, 'd' represent the number of dollars in John’s bank account at the end of the month.

Therefore, The inequality that represents the context is d > - 25.

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I'm sorry, but you haven't provided enough information to determine the ratio of red ribbon to total. Please provide more details.

The solution is, f(x) = 7 is a even function.

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

here, we have,

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x).

If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

now,

Option 4

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function.

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Answer:

Likely.

Step-by-step explanation:

so easy that is

or you need explanation?

The area of triangular patio = 810 sq. ft

and In drawing, The area of triangle = 10 sq. In

A triangle is a closed figure that has three vertices, three sides, and three angles. The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height.

Given that in drawing the base and height of a triangular patio are: 5 In and 4 In.

and A scale drawing of the patio is 1 in. : 9 ft

So that the the base and height of a triangular patio are 5*9 ft = 45ft and 4*9 ft = 36 ft

The area of triangular patio = 1/2 * base * height

The area of triangular patio = 1/2 * 45 * 36 sq. ft

The area of triangular patio = 810 sq. ft

In drawing, The area of triangle = 1/2 * base * height

The area of triangle = 1/2 * 5 * 4 sq. In

The area of triangle = 10 sq. In

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