find m∠1 ‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answer:

150

Step-by-step explanation:

5 × 3 ÷ 5 + 9 ÷ 7 × 9 × 4 × 3 ÷ 5 × 7 ÷ 5

3 + 7 × 3 × 7

3+147

150

Answer:

still need help?

Step-by-step explanation:

Answer:

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

41 − 18 = 23

67 − 41 = 26

82 − 67 = 15

69 − 82 = −13

17 − 69 = −52

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

26 − 23 = 3

15 − 26 = −11

−13 − 15 = −28

−52 − (−13) = −39

Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.

Third Differences

−11 − 3 = −14

−28 − (−11) = −17

−39 − (−28) = −11

The third differences are approximately the same so we will use a cubic function to represent the data.

Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

The total number of students at the school is 1240.

What is Ratio ?

With the dividend or number being divided as the antecedent and the divisor or number that is dividing as the consequent, a ratio compares two quantities by division.

we know that, number of boys : number of girls = 11: 9

Let's assume the number of boys = 11x

and, the number of girls = 9x

similarly, There are 124 more boys than girls

So, number of boys = 124 +  number of girls

           11x = 124 + 9x

          2x = 124

          x = 62

So, number of boys = 11 ×62 = 682

number of girls = 9 × 62 = 558

∴ Total number of students is 1240 i.e.(682+558).

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Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

Answer:

no

Step-by-step explanation:

If x = 3 is a zero, then f(3) = 0

f(3)

= 4\((3)^{4}\) - 3³ - 52(3)² - 35(3) + 12

= 324 - 27 - 468 - 105 + 12

= - 264

Since f(3) ≠ 0 then x = 3 is not a zero of f(x)

The exact length of the curve x = 1/3 √y (y − 3), 16 ≤ y ≤ 25 is 64/3.

Given,

x = 1/3 √y (y − 3), 16 ≤ y ≤ 25

Length of the curve y = f(x) from x =a to x = b is given by:  ∫√1 + [f′(x)]2 dx.

x = 1/3 √y (y − 3)

x = 1/3 . y3/2 - y1/2

Let's find the first derivative of x.

dx/dy = 1/3. 3/2. y1/2- 1/2 . y1/2

dx/ dy = 1/2 ( y1/2 -y-1/2)

(dx/dy)2 = 1/4 ( y1/2 -y-1/2)2

= 1/4(y + y-1 -2)

1 + {f′(x)}2 = 1 + 1/4(y + y-1 -2)

= 1/4 y + 1/4y + 1/2

1 + {f′(x)}2= 1/4 (y + y-1 + 2)

√[1 + {f′(x)}2] = 1/2 ( y1/2 + y-1/2)

Length of curve =   \(\int\limits^a_b {\sqrt{ [1 + {f'(x)}2]} \, dx\)

where a = 25 and b = 16

= [(y)3/2 /3 + √y]

= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]

= [125/3 + 5] - [64/3 + 4]

= 140/3 - 76/3

= (140 - 76)/3

= 64/3

Hence, the exact length of the curve x = 1/3 √y (y − 3), 16 ≤ y ≤ 25 is 64/3.

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Answer:

3,409.6 steps

Step-by-step explanation:

Given parameters:

Duration of the walk  = 9.00am to 3.00pm

Number of steps walked  = 20458 steps

Unknown:

Number of steps per hour =?

To solve this;

            Number of steps per hour  = \(\frac{Number of steps}{Duration}\)

  Duration  = 9 am to 3pm  = 6hrs

  Now input the parameters:

         Number of steps per hour = \(\frac{20458}{6}\)   = 3,409.6 steps

Total number of steps per hour is 3,409.6 steps/hour.

Answer:

W=5 w=8

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a - b)(a + b) =a² - b²

(3x + 5)(3x -5) =(3x)² - 5² = 9x² - 25

(x +2)(x+2) = (x+ 2)² = x²+ 2*2*x+2² = x² + 4x + 4

(x+2)(3x -5 ) = x*3x - 5*x +2*3x +2*(-5)

                    = 3x² -5x +6x -10

                    = 3x² + x - 10

\(\frac{2*(3x+5)}{x+2}-\frac{5(x+2)}{3x-5}=3\\\\\frac{2*(3x+5)*(3x-5)}{(x+2)(3x-5)}-\frac{5*(x+2)(x+2)}{(3x-5)(x+2)}=3\\\\\frac{2*(9x^{2}-25)-5(x^{2}+4x+4)}{(3x-5)(x+2)}=3\)

\(\frac{18x^{2}-25-5x^{2}-20x-20}{3x^{2}+x-10}=3\\\\\frac{18x^{2}-5x^{2}-20x - 25-20}{3x^{2}+x-10}=3\\\\\)

13x² - 20x - 45 = 3*(3x² + x - 10)

13x² - 20x - 45 =9x² + 3x - 30

13x² - 9x² -20x - 3x - 45 + 30 = 0

4x² - 23x - 15 = 0

Answer:

see explanation

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , then

CO = OA = b

DO = OB = a

(a)

CA = CO + OA = b + b = 2b

(b)

DC = DO + OC = a - b

(c)

CB = CO + OB = b + a = a + b

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

Answer:

y= 0 , 2 , 4

Step-by-step explanation:

y=x+2

substitute the value for x

y=-2+2

y=0

y=0+2

y=2

y=2+2

y=4

The probability that both the bolt and nail meet the specification is 0.8004. The probability that the bolt does not meet specifications is 0.08. The probability that at least one of the two does not meet specifications is 0.1996.

Given: the probability of bolts meeting the specification is 92%, the probability of nails meeting the specification is 87%. Since the bolt and nail are selected independently, we can use the multiplication rule of probability to calculate the probability of both the bolt and nail meeting the specifications.

Part A: Probability of bolt meeting specification P(Bolt) = 0.92

Probability of nail meeting specification P(Nail) = 0.87

We need to find the probability of both bolt and nail meeting specifications, i.e.,

P(Bolt ∩ Nail)P(Bolt ∩ Nail) = P(Bolt) × P(Nail)P(Bolt ∩ Nail) = 0.92 × 0.87

P(Bolt ∩ Nail) = 0.8004

Therefore, the probability that both the bolt and nail meet the specification is 0.8004.

Part B: Probability of bolt meeting specification P(Bolt) = 0.92

Probability of nail not meeting specification = 1 - P(Nail) = 1 - 0.87 = 0.13

We need to find the probability that the bolt meets specifications, but the nail does not, i.e.,

P(Bolt) × P(Not Nail)P(Bolt) × P(Not Nail) = 0.92 × 0.13P(Bolt) × P(Not Nail) = 0.1196

Therefore, the probability that the bolt meets specifications, but the nail does not is 0.1196.

Part C: Probability of bolt not meeting specification = 1 - P(Bolt) = 1 - 0.92 = 0.08

Therefore, the probability that the bolt does not meet specifications is 0.08.

Part D: We need to find the probability that at least one of the two does not meet specifications. This can be calculated by taking the complement of the probability that both meet specifications.

P(At least one) = 1 - P(Bolt ∩ Nail)P(At least one) = 1 - 0.8004P(At least one) = 0.1996

Therefore, the probability that at least one of the two does not meet specifications is 0.1996.

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Answer:

3060 degrees

Step-by-step explanation:

The formula is  (n-2)*180  

Plug the 19 in (19 - 2) * 180 = x  

17 * 180 = 3060 degrees

The company can earn a maximum of $2760 if it sells 10 Tire X tires and 18 Tire Y tires.

A tire company sells two different tread patterns of tires. Tire X is priced at $75.00 and Tire Y is priced at $85.00. It is given that the three times the number of Tire Y sold must be less than or equal to twice the number of Tire X sold. The company has at most 300 tires to sell. Let the number of Tire X sold be x.

Then the number of Tire Y sold is 3y. The cost of the x Tire X and 3y Tire Y tires can be expressed as follows:

75x + 85(3y) ≤ 300 …(1)

75x + 255y ≤ 300

Divide both sides by 15. 5x + 17y ≤ 20

This is the required inequality that represents the number of tires sold.The given inequality 3y ≤ 2x can be re-written as follows: 2x - 3y ≥ 0 3y ≤ 2x ≤ 20, x ≤ 10, y ≤ 6

Therefore, the company can sell at most 10 Tire X tires and 18 Tire Y tires at the most.

Therefore, the maximum amount the company can earn is as follows:

Maximum earnings = (10 x $75) + (18 x $85) = $2760

Therefore, the company can earn a maximum of $2760 if it sells 10 Tire X tires and 18 Tire Y tires.

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Answer:

0.80c

Step-by-step explanation:

'c' represents the original price.  20% off leaves 80% of c, which is the sales price:  0.80c

The value of the integral ∫√x/(x - 4) dx from 9 to 16 is 3.022

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

∫√x/(x - 4) dx from 9 to 16

The above expression can be integrated using integration by parts method

When integrated, we have

∫√x/(x - 4) dx = 2(√x - ln(√x + 2) + ln(|√x - 2|))

Recall that the x values are from 9 to 16

This means that

∫√x/(x - 4) dx = 2(√16 - ln(√16 + 2) + ln(|√16 - 2|)) - 2(√9 - ln(√9 + 2) + ln(|√9 - 2|))

So, we have

∫√x/(x - 4) dx = 2(4 - ln(4 + 2) + ln(|4 - 2|)) - 2(3 - ln(3 + 2) + ln(|3 - 2|))

Solving further, we get

∫√x/(x - 4) dx = 2(4 - ln(6) + ln(2)) - 2(3 - ln(5) + ln(1))

Evaluate

∫√x/(x - 4) dx = 3.022

Hence, the value of the integral is 3.022

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Answer:

Parallel

Step-by-step explanation:

Answer:

pretty sure they're parallel, sorry if I'm incorrect ^^''

Answer:

9 + 8 = 17

for instance, look at the numbers below 13, (7 and 4) notice how when you add those together you get the number that is across from it?

(7+4=11)

Answer:

I don't know how to explain but I think it is 17

Step-by-step explanation:

If you can see the opposite side of the number, so lets say 8 on the outer. In the middle is 7 and 9, 7 and 9 makes 16 and if you do the rest of the circle you will get 17.

Hopefully is correct!

1. The greatest common factor of the polynomial 7y^3 + 14y^2 is 7y^2. Therefore, it can be factored as 7y^2(y + 2).

2. The greatest common factor of the polynomial 7m^2 − 42m + 21 is 7. Therefore, it can be factored as 7(m^2 − 6m + 3).

3. The greatest common factor of the polynomial 56xy^2 + 24x^2y^2 − 40y^3 is 8y^2. Therefore, it can be factored as 8y^2(7x + 3xy − 5y).

4. The polynomial 2q^2 − 18 can be factored by extracting the greatest common factor, which is 2. Therefore, it can be factored as 2(q^2 − 9).

Explanation:

1. To factor out the greatest common factor from the polynomial 7y^3 + 14y^2, we identify the highest power of y that can be factored out, which is y^2. By dividing each term by 7y^2, we get 7y^2(y + 2).

2. Similarly, in the polynomial 7m^2 − 42m + 21, the greatest common factor is 7. By dividing each term by 7, we obtain 7(m^2 − 6m + 3).

3. In the polynomial 56xy^2 + 24x^2y^2 − 40y^3, the greatest common factor is 8y^2. Dividing each term by 8y^2 gives us 8y^2(7x + 3xy − 5y).

4. Lastly, for the polynomial 2q^2 − 18, we can factor out the greatest common factor, which is 2. Dividing each term by 2 yields 2(q^2 − 9).

By factoring out the greatest common factor, we simplify the polynomials and express them as a product of the common factor and the remaining terms.

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Complementary angles form a right angle.

Complementary:

Answer:

Complementary;x= 5

Step-by-step explanation:

Complementary angle of a right angle = 90°

therefore

65 + 5x = 90

5x = 90 - 65

5x = 25

5x/5 = 25/5

x = 5

hence the complementary angle of x = 5

Answer:

3

Step-by-step explanation:

3 x 3 = 9

True. A cartesian join, also known as a cross join, returns all possible combinations of rows between two tables. In this scenario, since table a contains two rows and table b contains eight rows, there will be 2 x 8 = 16 possible combinations or rows in the result set.

When a Cartesian join is used to link two tables, it creates a combination of all possible rows between the two tables. In this case, table A has 2 rows and table B has 8 rows. To calculate the number of rows in the result, you simply multiply the number of rows in each table:

2 rows (table A) x 8 rows (table B) = 16 rows

So, when a Cartesian join is used to link table A with 2 rows to table B with 8 rows, there will be 16 rows in the result.

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The statement "if a cartesian join is used to link table a which contains two rows to table b which contains eight rows, there will be sixteen rows in the results" is a true statement.

What is a Cartesian join?

A Cartesian join, also known as a cross join or a cross product, generates a result set that combines every row from the first table with every row from the second table, with no requirements or limits.

If table A has two rows and table B has eight rows, a Cartesian join between the two tables will yield a result set with 16 rows (the product of the number of rows in each table).

So the statement "if a Cartesian join is used to link table A with two rows to table B with eight rows, the results will have sixteen rows" is valid.

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Answer:

D

Step-by-step explanation:

um well just based on what its asking for it wants a sentence that uses both.

The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.

To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.

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Answer:

$65.62

Step-by-step explanation:

you would have to divide the number 1,108 by 16 in order to get this number Because when working with smaller numbers and they each add to a certain extent you would most likely divide the bigger number by the smaller

Answer:

1. -3/7

2. 5/2

3. 2/3

4. 4/5

5. -7

6. 5/4

7. (8,2)

8. (4,3/2)

9. (-8,2)

10. (-3/2,7/2)

Step-by-step explanation:

For 1-6, use the formula of y2-y1/x2-x1.

1. -2+5/0-7        -3/7

2. 0+5/-7+5        5/2

3. 3+1/1+5        4/6 or 2/3

4. -3-5/-5-5        -8/-10 or 4/5

5. 3+4/0-1        7/-1 or -7

6. 1+4/4-0        5/4

For 7-10 use the formula of x1+x2/2, y1+y2/2

7. 9+7/2 and 2+2/2        (8,2)

8. 4+4/2 and 9+-6/2        (4,3/2)

9. -6+-10/2 and -6+10/2        (-8,2)

10. 2+-5/2 and -8+1/2        (-3/2,7/2)

To find the ordered pair (x, y) on the unit circle corresponding to the real number r = -16π/3, we can use the trigonometric values on the unit circle.

On the unit circle, the angle -16π/3 corresponds to a rotation of 16π/3 in the clockwise direction from the positive x-axis. To determine the corresponding point (x, y), we can refer to the values of sine and cosine for this angle. Recall that on the unit circle, the x-coordinate represents the cosine value and the y-coordinate represents the sine value. Using the angle -16π/3, we can find the corresponding point on the unit circle.

The cosine of -16π/3 is given by cos(-16π/3) = cos(2π/3) = -1/2. This means that the x-coordinate of the point is -1/2. The sine of -16π/3 is given by sin(-16π/3) = sin(2π/3) = √3/2. This means that the y-coordinate of the point is √3/2.

Therefore, the ordered pair (x, y) on the unit circle corresponding to the real number r = -16π/3 is (-1/2, √3/2).

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