What is a valid conclusion that can be reached by reading the graph?A.2004 and 2006 combined saw more profits than 2007.B.2004 and 2005 combined saw more profits than 2007.C.2005 and 2006 had more profits than 2004 and 2007.D.2008 will have the most profits.

Answer:

7.88 x 10^5 is 788,000 is scientific notation

The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.

Answer:

3 beause when you dividend it -5.6+4(3) .

Answer

5k dollars

Step-by-step explanation:

The speed limit for the highway in rounded to the nearest whole is 33 mi/h.

The speed is the ratio of the distance in a given time interval. The distance is represented by a unit of length and the time is represented by a unit of time.

There are different units for the length or distance. In the International System Units (SI), the standard unit of distance is the meter (m) and the standard unit of time is the second (s). Nonetheless, there are others units, for example: inches (in), miles (mi) and  yards (yd).

For solving this exercise, you need to know the relation between the given units for distance and time.

The question gives - 100 km/h. The kilometer (km) is a multiple of the  standard unit of distance -  the meter (m) and the hour is a submultiple of the  standard unit of time  - the second (s)

For solving this question, it is necessary that you know the relation between km/h and mi/h. See  below.

\(\text{1 km/h}= 0.6213712 \ \text{mi/h}\)

Now you can solve the question from a math tool - Rule of three. Thus,

\(\text{1 km/h}= 0.6213712 \ \text{mi/h}\)

\(100 \ \text{km/h}= \text{x mi/h}\)

\(\text{x}= 100 \times 0.6\)

\(\text{x}=33 \ \text{mi/h}\)

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the car was bought for $21,000, and is losing 12% of its value each year (option C)

The given model:

The value in the bracket is less than 1. So, it exponential decay

For exponential decay:

comparing both equations:

r = 12%

The dcay means a deduction in original amount

Hence, the car was bought for $21,000, and is losing 12% of its value each year (option C)

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Answer:

x = 10

g = 71

Step-by-step explanation:

All of the angles added together equal 180

I hope this helps!

The equivalent equation of the logarithmic equation is \(5x + 4 = 8^{3x - 4}\)

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

\(\log_8(5x+4)=3x-4\)

Apply the following law of logarithm

\(\log_a(b) = x \to a = b^x\)

So, we have:

\(5x + 4 = 8^{3x - 4}\)

Hence, the equivalent equation of the logarithmic equation is \(5x + 4 = 8^{3x - 4}\)

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Answer:

113.04 sq

Step-by-step explanation:

Diameter= 12, Radius = 12÷2 = 6

Area = πr^2

Area = 3.14×(6)^2

Area = 3.14×36

Area = 113.04 sq.

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

Answer:

\(6\sqrt{3}\)

Step-by-step explanation:

because of the 90-60-30 theorem

which \(6*\sqrt{3}=6\sqrt{3}\)

Answer:

The slope of line a is * also.

Step-by-step explanation:

Parallel lines have the same slope. Whatever number, fraction, variable, symbol is given for the slope of one line, the other must have the same number, fraction, variable, symbol, if they are parallel.

Answer:

A= 1.50x+75  B= 2.50x+45

Company A is cheaper than Company B when x > 30 miles.

Step-by-step explanation:

Company A charges$75 for the rental even when driving x=0 miles, and will charge and additional $1.50 per mile driven. Therefore the amount Company A would charge for xx miles is:

A=1.50x+75

Company B charges $45 for the rental even when driving x=0 miles, and will charge and additional $2.50 per mile driven. Therefore the amount Company B would charge for x miles is:

B=2.50x+45

When x takes less than 30 miles, Company A is cheaper than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.

A linear equation is defined as an equation in which the highest power of the variable is always one.

When driving x = 0 miles, Company A charges $75 for the rental and an additional $1.50 for each mile driven. Thus, the price that Company A would charge for x miles is as follows:

⇒ A = 1.50x + 75

When driving x = 0 miles, Company B charges $45 for the rental and an additional $2.50 for each mile driven. Thus, the price that Company B would charge for x miles is as follows:

⇒ B = 2.50x + 45

Hence, when x takes less than 30 miles, Company A is less expensive than Company B. This is the equation of price that companies i.e. A = 1.50x+75 and B= 2.50x + 45.

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1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Answer:

The smaller number in 0.01

Step-by-step explanation:

To find this answer, just take the fraction and find the quotient of both numbers.

1.789/178 = 0.01005056179

Now take the quotient and compare it to 0.05.

Is 0.01 larger or 0.05 - the answer is 0.01.

As a result, any real number higher than or equal to 12 or less than or equal to -12 is a solution to the inequality, implying that the answer is any real integer.

An inequality is a mathematical statement that compares two values and indicates whether they are equal, greater than, or less than each other. Inequalities are represented using symbols such as <, >, ≤, and ≥, which stand for "less than", "greater than", "less than or equal to", and "greater than or equal to", respectively. For example, the inequality 2 < 5 means that 2 is less than 5, and the inequality 3 ≥ 1 means that 3 is greater than or equal to 1. Inequalities are often used to describe the range of possible values for a variable, and to represent constraints in mathematical models and real-world problems. The solution of an inequality is the set of values that make the inequality true.

Here,

To solve this inequality, we first need to evaluate the expression inside the absolute value. If x is positive, then |x| = x, so the inequality becomes:

6x ≥ 72

Dividing both sides by 6, we get:

x ≥ 12

If x is negative, then |x| = -x, so the inequality becomes:

6(-x) ≥ 72

Expanding the absolute value, we get:

-6x ≥ 72

Dividing both sides by -6, we get:

x ≤ -12

Therefore, all real numbers greater than or equal to 12 or less than or equal to -12 are solutions of the inequality, meaning the solution is all real numbers.

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To determine how many fish the fisherman released into the lake, we need another piece of information that relates to the population of the new species at a certain time. Let's say that after 5 weeks, the population of the new species has grown to 500 fish. Then we can set up an equation:

P(5) = 7b^5 = 500

Solving for b, we get:

b^5 = 500/7

b = (500/7)^(1/5)

b ≈ 1.828

Now we can find the initial population P(0):

P(0) = 7b^0 = 7(1) = 7

Therefore, the fisherman illegally introduced 7 fish into the lake.

The median of the distances is M = 6.5 kilometers

Given data ,

To find the median of a set of numbers, we arrange the numbers in ascending order and then locate the middle value. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

Arranging the given set of numbers in ascending order: {4, 5, 8, 11}

Since the set has an even number of values, the median is the average of the two middle numbers. In this case, the two middle numbers are 5 and 8. To find the average, we add these two numbers and divide by 2:

(5 + 8) / 2 = 13 / 2 = 6.5

Hence , the median of the given set {4, 5, 8, 11} is 6.5

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1. Relation 1 is a function

2. Relation 2 is a function

3. Relation 3 is not a function

4. Relation 4 is a function

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

The relations (1) to (4)

Relation (1)

This relation is a function

This is because each range value point to unique domain values

Relation (2)

This relation is a function

This is because each range value point to unique domain values

Relation (3)

This relation is not a function

This is because domain values w have different range values.

Relation (4)

This relation is a function

This is because each range value point to unique domain values

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Answer:

1. 11

2. -82

3. \( \frac{8}{15} \)

4. 36

5. 1

Step-by-step explanation:

1. 3x + 5, when x = 2

Plug in the value of x

3(2) + 5 = 6 + 5

= 11

2. 5xy + x - 4, when x = -3 and y = 5

Plug in the values

5(-3)(5) + (-3) - 4

-75 - 3 - 4 = -82

3. \( \frac{6ab - c}{abc} \), when a = 5, b = 3, and c = 10

Plug in the values

\( \frac{6(5)(3) - 10}{5*3*10} \)

\( \frac{90 - 10}{150} \)

\( \frac{80}{150} \)

\( \frac{8}{15} \)

4. 3(xy + 6), when x = -6 and y = - 1

3(-6*-1 + 6)

3(6 + 6)

3(12)

36

5. \( \frac{2x + 5}{3x - y} \), when x = -3 and y = -8

\( \frac{2(-3) + 5}{3(-3) - (-8)} \)

\( \frac{-6 + 5}{-9 + 8} \)

\( \frac{-1}{-1} = 1 \)

Answer:

0.02, 0.802, 0.9, 1, 1.6, 2.81

Answer:

0.02, 0.802, 0.9, 1, 1.6, 2.81

Step-by-step explanation:

hope this helps

Answer:

(21,0)

Step-by-step explanation:

The function of the parabola is given in vertex form which is \(f(x) = a(x-h)^{2} +k\)

The vertex is equal to (h,k). Looking the function \(f(x)=8(x-21)^{2}\), we see that the h-value is equal to 21 and that the k-value is 0. So the vertex of the function is (21,0).

The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Answer: 4.78

Step-by-step explanation:

add up all the cookies and then divide by his favorite.

Answer:I got 2500%

Step-by-step explanation:so first I added 17+17 then you subtract 9 so that gives you 25 then if you convert it into a percentage you would be 2500.

Answer:

600

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-12°F +  3 =-9

1/2 * 6 = 3

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer:

Length is 13 and width is 3

Step-by-step explanation:

First find an equation that represents this situation.

39 = w * (5w-2)

This works because 39 (the total area) is w (the width) times 5w - 2 (the length). So solve for w.

39 = w * (5w-2)

First, distribute the w over the terms in parentheses

39 = 5w^2 - 2w

Then, subtract (5w^2 - 2w) from both sides.

39 - 5w^2 - 2w = 0

Factor the left side of the equation:

(−5w−13)(w−3)=0

Then set each factor equal to zero.

−5w−13 = 0

Add 13 to both sides, then divide both sides by -5 to isolate w. This leaves you with w = -13/5

Then the other factor:

w−3 = 0

Add 3 to both sides. You're left with w = 3.

So w is either -13/5, or 3. And since the width can't be negative, it is 3.

Now to find the height, plug 3 into the equation we had from earlier:

39 = w * (5w-2)

Substitute w into the equation:

39 = (3) * (5(3)-2)

39 = 3 * (15 - 2)

39 = 3 * (13)

Because 3 * 13 is equal, 13 is the length.