The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note to nec ? .

The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)

By ling division of polynomials, it follows that the division of polynomial x³ + 4x² +x -6 by x +2 yields the quadratic expression;

On this note, the factorisation of the quadratic expression above yields factors;

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Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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Answer: 1.5

Step-by-step explanation

45/30=1.5

check: 1.5x30=45

1. Alternate exterior angles

2. Vertical angles

3. Alternate interior angles

Hope that helped :)

The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

Given that, Angle = 60°, v = 8, 6

Consider unit vector a = (x, y)

x² + y² = 1 …. (1)

Now apply the dot product of unit vector with v

a.v = |a||v|cos Ø

a.v = √ (x² + y²) √ (8² + 6²) cos 60º

8x + 6y = 1 × 10 × ½

So we get,

8x + 6y = 5 …. (2)

y = (5 - 8x) / 6

Substituting the value of y in equation (1)

x² + y² = 1

x² + [(5 - 8x)/6]² = 1

x² + 25/36 + 16x²/9 - 20x/9 = 1

25x²/9 - 20x/9 = 11/36

So we get,

4 × (25x² - 20x) = 11

100x² - 80x = 11

100x² - 80x - 11 = 0

Now solve the quadratic equation,

x = { 2/5 ± √5/10}

Substituting the value of x in equation (2)

y = 3/10 ± 2√5/15

Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).

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Answer:

The possible radius and height for the inside of the cylinder that meets the constraints are r = 4 cm and h = 9.4 cm.

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height. We want to find a radius and height that will give us a volume between 475 and 480 cubic centimeters, with a diameter between 8 and 10 centimeters. First, we’ll use the lower limits of the constraints: a volume of 475 cubic centimeters and a diameter of 8 centimeters. The diameter is 8 centimeters, so the radius is 4 centimeters. We can plug in these values to the formula for volume and solve for h: 475 = 3.14 x 4^2 x h 475 = 50.24h h = 9.44 So a possible radius and height for the inside of the cylinder that meets the constraints are: r = 4 cm and h = 9.4 cm.

The correct answer to the given question about all of the diagonals drawn from a vertex of an n-gon is option b) n-1

If all of the diagonals are drawn from a vertex of an n-gon, the number of triangles formed is equal to the number of non-diagonal sides of the n-gon. To see why, imagine selecting a vertex of the n-gon and drawing all of the diagonals from that vertex. Each diagonal connects that vertex to a non-adjacent vertex of the n-gon, which splits the n-gon into a series of triangles. The total number of triangles formed is equal to the number of non-diagonal sides of the n-gon, because each non-diagonal side forms one triangle with the selected vertex and one of its adjacent vertices. An n-gon has n sides, so the number of non-diagonal sides is equal to n - 3. This is because each vertex is connected to two adjacent vertices, so there are n - 2 diagonal sides emanating from the selected vertex, and the remaining n - 2 sides are non-diagonal. In addition, there are three sides at the selected vertex that are not counted as non-diagonal sides, so we subtract 3 from n - 2 to get n - 3. Therefore, the answer is (B) n - 1.

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The product of (2x-3y)(2x+3y) is 4x^2-9y^2.

the solution of the question is as follows,

Product = (2x-3y)(2x+3y)

Product =2x(2x+3y)-3y(2x+3y)

Product = 2x(2x)+2x(3y)-3y(2x)-3y(3y)

{using distributive property of multiplication}

Product = 4x^2 +6xy - 6xy -9y^2

solving 6xy-6xy=0,

Product = 4x^2 - 9y^2

4x^2-9y^2 is the product of (2x-3y)(2x+3y).

distributive property of multiplication

This property states that  multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. The multiplication of (a - b)(a + b) is equal to a^2 - b^2. This result is used as an identity.

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Step-by-step explanation:

The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.

if it's a multiple chose then the answer is b

hope this helps

Answer:

here is the answer

Step-by-step explanation:

The work done when lifting the load vertically through 10 m is 4900 N·m.

The work done when lifting a load vertically can be calculated using the formula:

Work = Force × Distance

In this case, the force can be determined using the formula:

Force = Mass × Acceleration

Given that the load is 50 kg and the acceleration due to gravity is 9.8 m/s², we can calculate the force as:

Force = 50 kg × 9.8 m/s² = 490 N

The distance through which the load is lifted is 10 m. Substituting the values into the work formula, we get:

Work = 490 N × 10 m = 4900 N·m

Therefore, the work done when lifting the load vertically through 10 m is 4900 N·m.

In the explanation, we use the concept of work, which is defined as the product of force and distance, to calculate the work done when lifting a load vertically. The force is determined using the mass of the load and the acceleration due to gravity. By substituting the values into the work formula, we find that the work done is equal to 4900 N·m.

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The value of the equation is p = ( m/2 ) + 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

m = 8 - 2 ( p - m )   be equation (1)

On simplifying the equation , we get

m = 8 - 2p + 2m

Subtracting m on both sides of the equation , we get

m + 8 - 2p = 0

Adding 2p on both sides of the equation , we get

2p = m + 8

Divide by 2 on both sides of the equation , we get

p = ( m/2 ) + 4

Hence , the equation is p = ( m/2 ) + 4

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Answer: Multiplication

Step-by-step explanation:

Given

w/7=14

Multiply 7 on both sides

w/7 × 7=14 × 7

w=98

In order to isolate w on one side, we should times 7 as the numerator in order to eliminate the 7 in the denominator. To promise equality, we need to multiply 7 on both sides in order to isolate w and solve the equation.

The tens place is what we have to compare to determine the greater of the given numbers -7295 and 7259

To determine which number, 7259 or -7295, is greater, we can compare their place values starting with their leftmost digit.

7295 and 7259 have sevens in the thousands place; 7259 also has one; however, when we compare the next digit -7295 has twos while 7259 only has one in its hundreds place.

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Answer:

A Eurasian lynx covered 1.07 miles per day.

Step-by-step explanation:

The distance traveled by a Eurasian lynx = 46 miles

The days to cover the 46 miles distance = 43 days

Divide the total distance miles by the total number of days to determine the miles per day.

Thus,

Miles per day = Tota distance / Totdal days

                       = 46 / 43

                       = 1.07 miles per day

Thus, An Eurasian lynx covered 1.07 miles per day.

Answer: 18/14 or 18:14

Step-by-step explanation: this is relatively simple you have 32 in all and 14 are blue so 32-14=18 now you know there are 18 red marbles now to set up the ratio 18/14 or 18:14 (to check your work add 18+14=32)

Answer:

Step-by-step explanation:

Example: (1 2/3) (2 3/5)

Turn to improper fractions

1 2/3= 5/3   2 3/5= 13/5

5/3 x 13/5=?

5x13= 65

3x5= 15

Simplify/divide: 65/15 = 4 1/3

Another example. (2 5/6)(3)

Improper fraction:  2 5/6= 17/6

Turn Whole number to fraction: 3= 3/1

17/6 x 3/1

17x3= 51

6x1= 6

51/6

Simplify/divide: 8 1/2

LP is 12 units, MN is 3, so MN is 1/4 of LP, meaning there is a 25% chance that any point on LP is MN

Answer:

Step-by-step explanation:

I gave you all of the information to fill out the first page

i also answered some of the questions on the 2nd page. They are written sideways on the page. The other questions I didn’t answer yneed calculations after you add all of the expenses together.

put the amounts from each category I listed in the image and put them into the respective category and get the total for each category. Use those totals to fill out page two. If you get stuck I don’t mind helping but I thought this is the best way to get you started.  

a. the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.

b.) the average line length is (1/3) * 3 = 1 customer.

c.)The average time spent in line is 3 minutes.

d.)The average number of customers in the coffee shop is 10 customers.

e.)The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.

a. The average server utilization is 75%.

To calculate the average server utilization, we need to determine the proportion of time the server is busy serving customers. In this case, the average service time is given as 90 seconds per customer. Since there are 60 minutes in an hour, the server can serve (60/90) = 2/3 customers per minute.

The arrival rate of customers is 20 per hour. Converting this to minutes, we have an arrival rate of 20/60 = 1/3 customers per minute.

Therefore, the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.

b. The average line length in the coffee shop is 10 customers.

To calculate the average line length, we can use Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.

The arrival rate is given as 20 customers per hour, which can be converted to 1/3 customers per minute.

The average time spent in the system is the sum of the average waiting time and the average service time. The average service time is given as 90 seconds, and the average waiting time can be calculated using the formula 1/(μ - λ), where μ is the service rate (2/3 customers per minute) and λ is the arrival rate (1/3 customers per minute). Therefore, the average waiting time is 1/(2/3 - 1/3) = 3 minutes.

Using Little's Law, the average line length is (1/3) * 3 = 1 customer.

c. The average time spent in line is 3 minutes.

As calculated in part b, the average waiting time in the line is 3 minutes. This represents the average time customers spend waiting in line before being served.

d. The average number of customers in the coffee shop is 10 customers.

Using Little's Law, as explained in part b, the average number of customers in the system is equal to the arrival rate multiplied by the average time spent in the system. Therefore, the average number of customers in the coffee shop is (1/3) * 3 = 1 customer.

e. The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.

To calculate the average time spent by customers in the coffee shop, we add the average waiting time (3 minutes) and the average service time (90 seconds, which is 1.5 minutes) together. Therefore, the average time spent by customers in the coffee shop is 3 + 1.5 = 4.5 minutes.

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Answer:

Week0=20 W1=25 W2=30 W3=35 W4=40 W5=45 W6=50 W7=55 W8=60 W9=65

Step-by-step explanation:

W means week im just lazy:)

And just for every week you will add 5 to each week ig

The line of best fit shows that Luther can expect the speed to be 51 miles/hour when he throws 80 pitches and 64 miles/hour when he throws 54 pitches.

The average speed of Luther's pitches when he throws 80 pitches will be:

y = -0.511x + 91.636

= -0.511(80) + 91.636

= 50.756

= 51

Also, the number of pitches that Luther can throw when the speed is 64 miles per hour will be:

y = -0.511x + 91.638

64 = -0.511x + 91.638

0.511x = 91.638 - 64

0.511x = 27.636

x = 54

Therefore, the number of pitches will be 54.

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Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Hope that helps!

Answer

y = 3/2x -8

Step-by-step explanation:

The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.

Answer:

-96

Step-by-step explanation:

8*(-4)*3 = -32*3 = -96

Answer:

-96

Step-by-step explanation:

8 x (-4) x 3

= 8 x 4 x (-1) x 3

= (-1) x 8 x 4 x 3

= (-1) x 96

= -96

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

Answer: 80%

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

70% to 0.70

60*0.70= 42