Use the protractor to find the measure of the each angle. • m< CAH• m< EAB• m< FAB• m< HAE

Answer:

34.50

Step-by-step explanation:

69/2=34.50

Answer:

67/100

Step-by-step explanation:

Percent means out of 100.

67% = 67/100

Answer:

67/100

Step-by-step explanation:

Answer:

y≤|x+1|

Step-by-step explanation:

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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We can translate words into numerical equations by replacing certain key words with numbers or operations:

We're given:

Translate into an equation:

\(2(x-3)=3(x+2)\\2x-6=3x+6\\-6=x+6\\x=-12\)

x = -12

Answer:

13 1/8 km

Step-by-step explanation:

Given the man walks 3 3/4 km in 1 hour,

=> Speed of the man = 15/4 kmph

Distance walked by the man in 7/2 hours (3 1/2 hours) is,

= 15/4 * 7/2 = 105/8 km = 13 1/8 km

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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Answer:

931000

Step-by-step explanation:

7÷100×19

=1.33 × 700000

=931000

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

1) 7/45

2) 13 1/5

3) 13 4/5

4) 14 24/25

5)9/16

Step-by-step explanation:

ez

Answer:

The domain is -2 to positive 2.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

2) definition of midpoint

4) RS=RS,  reflexive property

5) SSS theorem

6) CPCTC

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

Answer:

$800

Step-by-step explanation:

per hour $40×10hours=$400

$400÷$50=8 times initial fee

8×$50=$400 total initial fee

$400hours fee+$400 initial fee=$800 total payment

Answer: 3 players

Step-by-step explanation: Hello! You know that there are 31 players on the softball team, there are 8 cars in total for everyone to drive in, and there are 4 players in each car for the first 7 cars.  What you have to find out is how many players are traveling in the eighth car.  The first thing that you want to know is how many players are already in the cars.  You already know that 4 players are in each of the 7 cars.  To know how many players are in the 7 cars, multiply the 4 players by the 7 cars.  4 x 7 = 28.  28 players are in the first 7 cars.  You know that there are 31 players in total.  To find the number of players in the last car, subtract the number of players in the first 7 cars from the total amount of players.  31 - 28 = 3.  There are 3 players on the softball team in the eighth car.  Hope this helps!

Based on the assets the company has and its liabilities, its net working capital is $12,000.

The net working capital can be found by deducting the current liabilities from the current assets.

Solving gives:

= Current assets - Current liabilities

= 77,000 - 65,000

= $12,000

In conclusion, the net working capital is $12,000.

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The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

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Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

they are both true

Step-by-step explanation:

they are both true because of proportionalities

5/8

5x2=10

8x2=16

therefore 5/8=10/16

the second one is also true because they want you to multiply y by 2

4x2=8

therefore

5/8=5/4x2

Answer:

i thing both are true but im sure the 1st is true

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

By composite compostion f(x) = 5x-6 and f⁻¹(x) = (x+6)/5 are inverse functions

A function is a relationship between inputs where each input is related to exactly one output.

Given: f(x) = 5x-6 and f⁻¹(x) = (x+6)/5

To show the inverse relationship exists using composite composition, f(f⁻¹(x)) must be equal to f⁻¹(f(x))

Let's check:

f(f⁻¹(x)) = f((x+6)/5)

Substitute x = (x+6)/5  into  f(x) = 5x-6:

f(f⁻¹(x)) = 5((x+6)/5) - 6

f(f⁻¹(x)) = (x+6)- 6

f(f⁻¹(x)) = x

Also,

f⁻¹(f(x)) = f⁻¹(5x-6)

Substitute x = 5x-6 into f⁻¹(x) = (x+6)/5:

f⁻¹(f(x)) =  ((5x-6)+6)/5

f⁻¹(f(x)) =  5x/5

f⁻¹(f(x)) =  x

Since f(f⁻¹(x)) = f⁻¹(f(x)). Therefore, f(x) = 5x-6 and f⁻¹(x) = (x+6)/5 are inverse functions

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Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.

The power of man weight 40 m in 15 min is 394.8 N x distance / 900 seconds the distance is not provided in the question, so it's impossible to calculate the power.

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Answer:

Slope: 1/2

y-intercept: (0, 4.5)

Slope Intercept = y = mx + b

Slope Intercept = y = 1/2x + 4.5

Step-by-step explanation:

The slope is 1/2 based on our rule, "Rise over Run" Based on the two points listed on the graph, we can say that we "rise" once and "run" twice. This makes our slope 1/2.

The y-intercept is where the line crosses the y-axis. If use our slope, we can determine that if we "rise" half of our slope in the opposite direction (0.5) and run half of our run in the opposite direction (1) we will intersect at (0, 4.5).

With this information, we can construct our slope-intercept equation:

The slope-intercept formula is as follows: y = mx + b

m is our slope, and b is out y-intercept.

y = 1/2x + 4.5