there are $7$ dots on a circle. what is the maximal number of intersection points outside the circle created by connecting these points with lines?

Answer:

22

Step-by-step explanation:

5x + 4y

Let x=2 and y =3

5*2 + 4*3

10+12

22

Answer:

22

Step-by-step explanation: 5*2+4*3=10+12=22

In a triangle, the value of x is,

⇒ x = 5.64 cm

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to give that;

In a triangle,

Hypotenuse = 12 cm

Base = x

Hence, By trigonometry formula, we get;

⇒ cos 62° = Base / Hypotenuse

⇒ cos 62° = x / 12

⇒ 0.47 = x / 12

⇒ x = 12 × 0.47

⇒ x = 5.64 cm

Thus,  the value of x is,

⇒ x = 5.64 cm

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Answer:

1. D. 14

2. C. 43.9823

Step-by-step explanation:

C = 2πr = 2* π* 7 ≈ 43.9823

Answer:

1) D. 14 cm

2) C. 43.96 cm

Step-by-step explanation:

First answer explanation:

Segment A to B would be 14 cm because the radius (middle to the bounding surface) is 7 cm so you just have to double that since you want to go from one side point to the other crossing through the middle.

The first answer is D.

Second answer explanation:

The circumference is basically the perimeter of a circle. To find the circumference you have to do 2pr (2*pi*radius). We know that the radius is 7 cm and pi is 3.14. Now we can plug the numbers in, 2*3.14*7 is the equation we have to solve. First we'll do 2*7 and get 14. Next we do the final step 3.14*14. We know that it has to be either A or C at this point because the other numbers are too low and if you think about it the answer has to be a decimal so it has to be C. If you want to do the multiplication that is fine but it is unnecessary.

Answer:

1.47 times 10 to the power of -3

Step-by-step explanation:

8th grade math I'm guessing lol

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Step-by-step explanation:

1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.

2. one term is monomial

two terms is binomial

3. b

4. -9

5. c

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

4957.56

Step-by-step explanation:

Call the 3 sides of the triangle as a,b,c.

We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.

To calculate an area of an equilateral triangle, we can use the formula :

\(\sqrt{3}\\\)/4 x \(a^{2}\)

=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56



If f does not attain a maximum value on [a,b], then the function does not attain a maximum value. The option "f does not attain a minimum value on [a,b]" must be true.

A maximum value is the highest value of a function, that is, the largest y-value of a graph. For example, f(x) = x² has a maximum value of infinity because the parabola opens upwards, and its value keeps increasing infinitely. Therefore, the highest value it attains is infinite.

If f does not attain a maximum value, then there is no highest value, meaning that the value of the function increases indefinitely. In that case, there must not exist a minimum value, since the function keeps rising indefinitely without any upper bound. Hence, f does not attain a minimum value on [a,b].

Option C must be true, which is: O f does not attain a minimum value on [a,b].

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The correct answer is option A, which is 305.0 cm. A significant digit is any digit that contributes to the precision of a measurement. In this case, the digit 3, 0, and 5 are significant because they indicate the actual measurement.

The decimal point also plays a significant role in determining the number of significant digits. Therefore, in option A, the digit 0 after the decimal point is also significant. Option B has four significant digits because of the digit 8 after the third decimal place. Option C has only two significant digits because the digit 0 before the decimal point is not significant. Option D is written in scientific notation and has four significant digits as well. So, to summarize, option A has three significant digits as it has 305.0, which is a significant measurement with three digits.

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The coordinates of point P are \(\dfrac{6}{5} \dfrac{8}{5}\)

Let's assume that point P divides the segment AB into segments AP and PB, where AP is 2 units long and PB is 3 units long. We need to find the coordinates of point P.

The section formula states that if point P divides the segment AB in the ratio m:n, then the coordinates of P can be calculated as follows:

\(\dfrac{ (n \times x_1 + m \times x_2)}{ (m + n) , } \dfrac{ (n * y1 + m * y2) }{ (m + n) ),}\)

Where A\((x_1, y_1)\) And B\((x_2, y_2)\)Are the coordinates of points A and B, respectively, and m and n are the given ratios.

Given:

\(A(0,0), B(3,4),\) ratio\(2:3\)

Using the formula, we can calculate the coordinates of point P:

  P(x, y) =  \(\frac ((3 \times 0 + 2 \times3){ (2 + 3)} \dfrac{3 \times 0 + 2\times 4) }{(2 + 3)}\)

=\(\dfrac{ 0 + 6} { 5} , \dfrac{0 + 8} { 5 }=\dfrac{6}{5} \times\dfrac{8}{5}\)

Therefore, point P on the vector AB that divides the segment into a ratio of 2:3 has coordinates P\(\dfrac{6}{5} \dfrac{8}{5}\)

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To calculate the duration of the shift, you need to subtract the clock-in time from the clock-out time.

In this case, the shift worker clocked in at 1730 hours (5:30 PM) and clocked out at 0330 hours (3:30 AM). However, since the clock is based on a 24-hour format, it's necessary to consider that the clock-out time of 0330 hours actually refers to the next day.

To calculate the duration of the shift, you can perform the following steps:

1. Calculate the duration until midnight (0000 hours) on the same day:

  - The time between 1730 hours and 0000 hours is 6 hours and 30 minutes (1730 - 0000 = 6:30 PM to 12:00 AM).

2. Calculate the duration from midnight (0000 hours) to the clock-out time:

  - The time between 0000 hours and 0330 hours is 3 hours and 30 minutes (12:00 AM to 3:30 AM).

3. Add the durations from step 1 and step 2 to find the total duration of the shift:

  - 6 hours and 30 minutes + 3 hours and 30 minutes = 10 hours.

Therefore, the duration of the shift was 10 hours.

Answer:

Casey earned $71,475.50 in commissions for this sale

Step-by-step explanation:

Percentages

To find a percentage of a given number, the procedure is multiplying the percentage by the number and divide by 100.

Casey earns 8.15% commission as a real estate agent on each sale she makes. When she finally sold a house for $877,000, her commission is calculated as follows:

commission = 8.15*877,000/100 = 71,475.5

Casey earned $71,475.50 in commissions for this sale

Answer:

Graph A represents the inequality x > 6.

A

Hope this helps have a great day

The probability that the next person will pay with a debit card is:

P =  0.63

We want to find he probability that the next customer will pay with a debit card.

That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.

We know that:

15 paid in cash.

50 paid with debit card.

15 paid with credit card.

For a total of 15 + 50 + 15 = 80

Then the probability is:

P = 50/80 = 0.63

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The solution to the system of inequalities is option C: (1, 1). The system of inequalities typically consists of multiple equations with inequality signs. However, the given options are not in the form of inequalities.

In the given system of inequalities, option d) satisfies all the given conditions. Let's analyze the system of inequalities and understand why option d) is the solution.

The inequalities are not explicitly mentioned, so we'll assume a general form. Let's consider two inequalities:

x > 0

y > x + 2

In option d), we have x = 2 and y = 4.

For the first inequality, x = 2 satisfies the condition x > 0 since 2 is greater than 0.

For the second inequality, y = 4 satisfies the condition y > x + 2. When we substitute x = 2 into the inequality, we get 4 > 2 + 2, which is true.

Therefore, option d) 2,4 satisfies both inequalities and is the solution to the given system.

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The relationship between 30 hours and 15 hours is that the number of hours spent using electronic devices is twice the number of hours of time spent playing sports, i.e. 30 hours = 2 x 15 hours.

There are different ways to approach this question, but one possible relationship between 30 hours and 15 hours to complete the statement "the number of hours students spent using electronic devices is times the number of hours spent playing sports" is:

If a student spends 30 hours using electronic devices and 15 hours playing sports, then the number of hours spent using electronic devices is twice the number of hours spent playing sports.

We can express this relationship using variables as follows:

Let E be the number of hours spent using electronic devices, and let S be the number of hours spent playing sports. Then, we can write:

E = 2S

If we substitute 30 for E and 15 for S in this equation, we get

30 = 2(15)

This equation is true, which means that the relationship holds for these particular values of E and S.

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The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

Size of the angle marked xº is 25°.

Given,

ABC and DEFG are parallel.

AEH and BFH are straight lines.

∠CBF = 53°

∠AED = 28°

Therefore,

∠GFH = ∠CBF  (Corresponding Angles)

          = 53°

∠HEF = ∠AED  (Vertically Opposite Angles)

          = 28°

∠GFH + ∠HFE = 180°   (Straight Line)

     53 + ∠HFE = 180

             ∠HFE = 180 - 53

             ∠HFE = 127°

In ΔHFE,

∠HFE + ∠FEH + ∠EHF = 180°

                127 + 28 + x = 180

                        x + 155 = 180

                                  x = 180 - 155

                                  x = 25

Hence, size of the angle marked xº is 25°.

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The angle that is an alternate interior angle to ∠3 will be 60°.

From the complete information, it should be noted that the value of angle 3 is 120°.

It should be noted that the angle on straight line is 180°.

Therefore, the angle that is an alternate interior angle to ∠3 will be:

= 180° - 120°

= 60°

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Which angle is an alternate interior angle to ∠3?

60

120

10

30

Answer:

1.25 g

Step-by-step explanation:

you start with 20g at 0 seconds.

divide by half after 2 seconds and you have 10g.

at 4 seconds you have 5g.

at 6 seconds you have 2.5g.

at 8 seconds you have 1.25g.

The size of the substance after 8 seconds will be 1.25 g

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a radioactive substance has a half-life of 2 seconds. A scientist begins with a sample of 20 grams.

Start with 20g at 0 seconds and divide by half after 2 seconds and you have 10g.

4 seconds you have 5g.

6 seconds you have 2.5g.

8 seconds you have 1.25g.

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Answer:

164 degrees

Step-by-step explanation:

The measure of the individual internal angle in a polygon is;

(n-2)180/n

n = 22

So we have;

(22-2)180/22

= (20 * 180)/22

= 163.64 degrees

To the nearest whole number, this is 164

The variation between the sample means is small.

The variation between the sample means provides insight into the spread or dispersion of the data. In this case, if the variation between the sample means is small, it indicates that the mean name lengths across the seven samples are relatively similar and close together. This suggests that there is not much variability or difference in the average name lengths among the different samples of students. Therefore, the variation between the sample means is small, indicating a certain level of consistency in the mean name length across the samples.

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ا اس نے اور لیپ کا یا ہد کو درکار اور ان پر ولا بت پرستوں کو خاتون زندگی اس نے کیا باطل و غرق و شرمندگی ہی نے گیراوں کو مہنگائی کے قائل کر رب نے غرور نسل کا فون باطل کر دیا جس نے وہ جس کا ذکر ہوتا ہے زمانوں آسمانوں میں فرشتوں کی دعاؤں میں ، مون کی اڑانوں میں وہ جس کے معجزے نے ام تی کو سنوارا ہے جو بے یاروں کا پارا ، بے سہاروں کا سہارا ہے ثنا خواں جس کا قرآں ہے، ثنا ہے اس کی قرآن میں ی پر میرا ایماں ہے، وی نے میرے اباں ہیں

ا

hope it helps

#carry on learning

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To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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As a result of answering the given question, we may state that Because equation 18 transactions exceed his goal of 16 transactions per hour, the clerk will complete 16 transactions in 1 hour.

In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9". The goal of equation solving is to find the value or values of the variable(s) to make the equation true. Simple or complex equations, regular or nonlinear, and including one or more factors are all possible. For example, the equation "x2 + 2x - 3 = 0" has the variable x raised to the second power. Lines are used in many fields of mathematics, including algebra, calculus, or geometry.

There are three sets of 20 minutes in an hour, thus if the clerk continues to work at his current rate, he will finish:

6 transactions in 20 minutes multiplied by 3 sets is 18 transactions in 1 hour.

Because 18 transactions exceed his goal of 16 transactions per hour, the clerk will complete 16 transactions in 1 hour.

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Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Answer:

ST ≈ 33.9

Step-by-step explanation:

given a tangent and a secant drawn from an external point to the circle, then

the square of the measure of the tangent is equal to the product of the secant's external part and the entire secant , that is

ST² = TU × TV = 24 × (24 + 24) = 24 × 48 = 1152 ( take square root of both sides )

ST = \(\sqrt{1152}\) ≈ 33.9 ( to the nearest tenth )