Question 2 of 6
Select the correct answer.
What is the value of the expression when a = -2, b = 3, and c = -6?
A. -1/3
B. 1/3
C. -1
D. 1

Pie charts are effective in conveying percentages and are commonly used in data analysis and presentations.

The true statement about pie charts is that they are effective in showing percentages. Pie charts are a common data visualization tool used to represent proportions or percentages of a whole.

The chart is divided into slices, with each slice representing a specific category or data point. The size of each slice is proportional to the percentage it represents within the whole.

This visual representation makes it easier for viewers to understand the distribution and relative proportions of different categories or variables. Pie charts are therefore frequently used in data analysis and presentations because they are good at communicating percentages.

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Without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

To calculate the fourth power of eleven using the expy function without redefining the global objects x or y, changing the definition of the expy function, or creating any new objects, you can follow these steps:

1. First, we need to understand the expy function. The expy function calculates the exponential value of the variable y. In this case, y represents the power to which we want to raise a number.

2. To calculate the fourth power of eleven, we can use the expy function with y set to 4 and the number 11 as the input. This can be done by calling the expy function with the value of 11 as the argument, like this: expy(11).

3. The expy function will then raise the input number (11) to the power of the variable y (4). In other words, it will calculate 11^4.

4. The result of the calculation will be the fourth power of eleven, which is 14641.

So, without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

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Answer:

9) (68 + 160)/2 = 114°

10) 80/2 = 40°

11) 105 x 2 = 210°

12) 80 x 2 = 160°

13) (360 - 180 - 108)/2 = 36°

14) (360 - 69 - 95)/2 = 98°

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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Answer:

122.5 cm²

Step-by-step explanation:

the area of shaded region =

(14×10) - (7 × 2.5)

= 140 - 17.5

= 122.5 cm²

We start with the basic function f(x) = |x|. Then we shift the graph horizontally by 3 units to the left, reflect it about the x-axis, compress it vertically by a factor of 2, and finally shift it vertically upwards by 5 units. These transformations give us the graph of the function F(x) = -2|x + 3| + 5.

The given function is F(x) = -2|x + 3| + 5. We can graph this function by applying different transformations to the basic function.

1) Start with the basic function, which is f(x) = |x|. This is a V-shaped graph that passes through the origin.

2) The first transformation is shifting the graph horizontally by 3 units to the left. This means that each x-coordinate is decreased by 3. The graph now becomes f(x + 3) = |x + 3|.

3) The next transformation is reflecting the graph about the x-axis. This means that the positive and negative values of y are switched. The graph becomes -f(x + 3) = -|x + 3|.

4) The third transformation is compressing the graph vertically by a factor of 2. This means that each y-coordinate is multiplied by 2. The graph becomes -2f(x + 3) = -2|x + 3|.

5) Finally, the graph is shifted vertically upwards by 5 units. This means that each y-coordinate is increased by 5. The graph becomes -2f(x + 3) + 5 = -2|x + 3| + 5, which is the given function F(x).

To summarize, we start with the basic function f(x) = |x|. Then we shift the graph horizontally by 3 units to the left, reflect it about the x-axis, compress it vertically by a factor of 2, and finally shift it vertically upwards by 5 units. These transformations give us the graph of the function F(x) = -2|x + 3| + 5.

It is important to note that when graphing transformations, it is always helpful to choose at least three reference points on each stage of the transformation to ensure accuracy.

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Notice that the common difference in both rows of the table is 1. Then for each unit in x, we have to increase also 1 unit in y.

From the options, only "Ricardo had fibe books and then started buying one more book each month" can be represented with the table

Answer: 14:3

Step-by-step explanation:

Given

Ratio between students(s) to female(f) adults is 7:6

while ratio between female(f) to male(m) is 4:1

So, we can write

\(\Rightarrow \dfrac{s}{f}=\dfrac{7}{6}\quad \ldots(i)\)

Also, we can write

\(\Rightarrow \dfrac{f}{m}=\dfrac{4}{1}\quad \ldots(ii)\)

Multiply both equations

\(\Rightarrow \dfrac{s}{f}\times \dfrac{f}{m}=\dfrac{7}{6}\times \dfrac{4}{1}\\\\ \Rightarrow \dfrac{s}{m}=\dfrac{14}{3}\)

So, the ratio of the students to male adults is 14:3 .

Answer:

157.07963

Step-by-step explanation:

2πr²

2π(5)²

2π(25)

50π

157.07963

Answer:

Y= -1/5x + 1

Step-by-step explanation:

Just type it on a graphing calculator an click graph

Answer:

32

Step-by-step explanation:

12 * (3 + 2²) / 2 - 10

12(3 + 4) / 2 - 10

12(7) / 2 - 10

84 / 2 - 10

42 - 10

32

Best of Luck!

Answer:

Step-by-step explanation:

\(12\times (3+2^2)\div 2-10\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3+2^2\right)\:\\:\quad 7\\\\=12\times \:7\div \:2-10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:12\times \:7\div \:2\:\\:\quad 42\\\\=42-10\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:42-10\:\\:\quad 32\)

The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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Answer:

56.3408 ft

Step-by-step explanation:

Hope it helped

\(\huge\text{Hey there!}\)

\(\large\text{In order to convert a fraction, to a decimal you have to DIVIDE the}\\\large\text{numerator (TOP number) from the denominator (BOTTOM number)}\)

\(\large\text{Formula: }\rm{\dfrac{a}{b}\rightarrow a \div b \rightarrow decimal\ formula}\)

\(\large\text{Solving for your answer:}\)
\(\mathsf{\dfrac{7}{2}\rightarrow7\div2\rightarrow 3.5}\)

\(\large\text{Therefore, your answer should be:}\)

\(\large\boxed{\mathsf{3.5}}\large\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

To convert this fraction to a decimal, simply divide the numerator (7) by the denominator (2):

The angles in the triangle is as follows:

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the angles a, b and c in the triangle as follows:

c + 44 + 53 = 180(sum of angles in a triangle)

c = 180 - 44 - 53

c = 83 degrees

Therefore, let's find the value of a and b.

b + 83 = 180 (sum of angle on straight)

b = 180 - 83

b = 97 degrees.

Hence,

28 + 97 + a = 180(sum of angles in a triangle)

a = 180 - 28 - 97

a = 55 degrees.

Therefore,

a = 55°

b = 97°

c = 83°

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The hiker's resultant displacement can be calculated using vector addition. By considering the magnitudes and directions of the individual displacements, the resultant displacement can be determined.

The magnitude of the resultant displacement is approximately 3.8 km, rounded to the nearest tenth. The direction of the resultant displacement is approximately 7° south of west, rounded to the nearest whole degree.

To find the resultant displacement, we can break down the hiker's displacements into their respective components. The first displacement of 3.5 km at an angle of 55° south of west can be represented as -3.5 km westward and -3.5 km × sin(55°) = -2.9 km southward. The second displacement of 2.7 km at an angle of 16° east of south can be represented as +2.7 km southward and +2.7 km × sin(16°) = +0.7 km eastward.

To find the resultant displacement, we add the components in each direction separately. The westward components add up to -3.5 km, and the southward components add up to -2.9 km + 2.7 km = -0.2 km. Using the Pythagorean theorem, the magnitude of the resultant displacement is √((-3.5 km)² + (-0.2 km)²) ≈ 3.8 km (rounded to the nearest tenth).

To determine the direction of the resultant displacement, we can use trigonometry. The angle θ can be calculated as arctan((-0.2 km)/(-3.5 km)) ≈ 7°. Since the angle is measured south of west, the direction of the resultant displacement is approximately 7° south of west (rounded to the nearest whole degree).

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Answer:

the slope is 0.5 or 1/2

Step-by-step explanation:

3x - 6y = 90

-6y = -3x + 90

y = 0.5x + 90

Answer:

slope= 1/2

Step-by-step explanation:

3x-6y=90

rewrite the equation into slope intercept form

y=1/2x-15

subtracting is the same as adding the opposites

y=1/2x+(-15)

since the equation is written in slope intercept form, y=mx+b, identify the slope of the line as the coefficient next to the variable x

y=1/2x+(-15), m=1/2

identify the y intercept of the lines as the constant term

y=1/2x+(-15),m(slope)=1/2,b=-15

Answer:

-2

Step-by-step explanation:

Simply find the y-value when x = -5. Looking at the graph, we should get y = -2

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5)

x=-5

Go x=-5 on the graph and see what the y value of the function is

The y value is -2

f(-5) = -2

1) The speed of a horsefly in feet per second is; 0.63 beats per minute

2) The number of times that the dragonfly's wing beats per minute is; 3 ft/s

3) The number of times that a bumble bee travels in one minute is; 0.11 miles per minute

Dimensional analysis is defined as the study of the relationship that exists between physical quantities with the help of dimensions and units of measurement.

Dimensional Analysis is also defined as a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication.

1) We are given from the table that the speed of a horsefly in miles per hour = 4.4 miles per hour. We want to know the speed expressed in feet per second.

From conversions, we know that;

1 mile per hour = 1/1.467 ft/s

Thus; 4.4 miles per hour = 4.4 * 1/1.467 = 3 ft/s

2) We are given from the table that the dragonfly's wing beat per second = 38 beats per second. We want to know the dragonfly's in wing beat per minute

From conversions, we know that;

1 beat per second = 1/60 beat per minute

Thus; 38 beats per second = 38 * 1/60 = 0.63 beats per minute

3) We are given from the table that the speed of a bumble bee in miles per hour = 6.4 miles per hour. We want to know the speed expressed in miles per minute

From conversions, we know that;

1 mile per hour = 1/60 miles per minute

Thus;

6.4 miles per hour = 6.4 * 1/60 = 0.11 miles per minute

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The length of side x based on the triangle given will be 26.2cm.

It should be noted that the image of the triangle is missing, so i have attached it.

In this case, to find the value of x, we will use cosine rule;

x² = 15² + 18² - 2(15 × 18)cos105

x² = 225 + 324 - 540(-0.2558)

x² = 549 + 138.132

x² = 687.132

x ≈ 26.2 cm

Therefore, length of side x based on the triangle given will be 26.2cm.

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The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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The expressions represent this week's price, in dollars, of a gallon of gasoline, is g + 0.08g

Last week the price, in dollars, of a gallon of gasoline was g.

This week the price of gasoline per gallon increased by 8%.

We have to determine, the expressions that represent this week's price, in dollars, of a gallon of gasoline

According to the question,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased = 5% = 0.05

The expressions represent this week's price, in dollars, of a gallon of gasoline is,

= Price of gallon last week + Price of gallon increased this week

= g + 0.08g

= (1 + 0.08)g

= 1.08g

Hence, The expressions represent this week's price, in dollars, of a gallon of gasoline, is g + 0.08g

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The conversion of 29,333 CAD at a forward rate of 1.6 is approximately 47,132.8 USD.

Amount left = CAD 29,333Forward rate = 1.6To find:

Amount in some other currency using this forward rateSolution:

Forward rate is used to determine the future exchange rate based on the present exchange rate.

The forward rate is calculated on the basis of the spot rate and the interest rate differential.

The forward rate in foreign exchange markets indicates the exchange rate that will be applicable at a future delivery date.

the Canadian dollar is the domestic currency and we want to find out the amount of some other currency that can be obtained using this forward rate of 1.6.

Using the forward rate,1 CAD = 1.6

Another way of writing this can be:1/1.6 = 0.625So, using this we can calculate the amount in some other currency, Let us assume it to be USD.

The amount in USD will be = CAD 29,333 * 0.625= 18,333.125 USD (approx)

Hence, the amount in USD is 18,333.125 using the given forward rate of 1.6.

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The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

What is the right triangle is triangle?

A right triangle is a triangle in which one angle measures 90 degrees. The sides of a right triangle can be used to determine if a triangle is a right triangle using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using this information, we can determine which of the given sets of side measures could form a right triangle:

A. 61 m, 60 m, 11 m: We can use the Pythagorean theorem to see if these sides could form a right triangle. We'll let the hypotenuse be the side with a length of 61 m, and the other two sides are the ones with lengths of 60 m and 11 m. Plugging these values into the Pythagorean theorem, we get:

(61 m)² = (60 m)² + (11 m)²

61² = 60² + 11²

61² ≠ 60² + 11²

Since the left side does not equal the right side, these sides cannot form a right triangle.

B. 24 in, 34 in, 28 in: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(34 in)² = (24 in)² + (28 in)²

34² = 24² + 28²

34² = 24² + 28²

The left side equals the right side, so these sides could form a right triangle.

C. 55 ft, 45 ft, 35 ft: Using the Pythagorean theorem, we can see that these sides could form a right triangle:

(55 ft)² = (45 ft)² + (35 ft)²

55² = 45² + 35²

55² = 45² + 35²

The left side equals the right side, so these sides could form a right triangle.

D. 48 cm, 46 cm, 15 cm: Using the Pythagorean theorem, we can see that these sides could not form a right triangle:

(48 cm)² ≠ (46 cm)² + (15 cm)²

48² ≠ 46² + 15²

Since the left side does not equal the right side, these sides cannot form a right triangle.

Hence, The side measures that could form a right triangle are B (24 in, 34 in, 28 in) and C (55 ft, 45 ft, 35 ft).

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Answer:

Description

Step-by-step explanation:

a. 2 solutions

b. 2 imaginary solutions

c. If the discriminant is positive, then it will have 2 real solutions as the square root of a positive number always equals a positive number. If the discriminant is negative, the quadratic equation will have 2 imaginary solutions, as the square root of a negative number is always imaginary. If the discriminant equals 0, it will have only 1 real solution.

Answer:

28

Step-by-step explanation:

your domain is X 4 times 5 is 20 plus 8 is 28

Answer:

49 all you have to do is add 10 to 39

The standard form of the following equation is x-4y=8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The given equation is

y+2=1/4x

According to given question we have

We know that the standard form of the equation of a line is

Ax + By = C

where ,A is a positive integer and B, C are integers.

Compare the given equation

Rearrange the  given equation as

y+2=1/4x

Multiply 4 both sides we get,

4y+8=x

Compare the given equation

x-4y=8

Therefore, the standard form of the following equation is x-4y=8.

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Answer:

2.9 radians.

Please kindly check the attached file for explanation.

Step-by-step explanation: