factorise 2x^[2]-9x-5

In the garden club there are 18 ladies and 2 gentlemen.

Given, In a garden club, 90% is ladies.

The number of ladies is 12 more than 3 times the number of gentlemen.

Let the total members be, x

the number of ladies be, l and the number of gentlemen be, g

according to the question,

l = 90x/100

l = 9x/10

also, l = 12 + 3g

g = (l - 12)/3

as, l + g = x

9x/10 + (9x/10 - 12)/3 = x

9x/10 + 9x/30 - 4 = x

36x/30 - 4 = x

6x/30 = 4

x = 20

so, ladies be, l = 9x/10 = 18

and gentlemen be, g = 20 - 18 = 2

Hence, in the garden club there are 18 ladies and 2 gentlemen.

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Answer: 81

Step-by-step explanation:

[tex]v=\sqrt{2gh}\\\\g=32, v=72\\\\\implies 72=\sqrt{2(32)h}\\\\5184=64h\\\\h=81[/tex]

Answer:

  shifted down 4 units

Step-by-step explanation:

You want to know the effect on the graph of changing y=2x+2 to y=2x-2.

The constant in the equation y=2x+2 is the y-intercept. The line described by this equation crosses the y-axis at y=2.

When the equation is changed to y=2x-2, the y-intercept changes from +2 to -2, a shift down of 4 units. The shifted line has the same slope as the original, so is parallel to it.

The effect on the graph is to move it down 4 units.

The alternative to random sampling is called as systematic sampling which is accepted by a pollster to poll every 10th person that comes out of a store.

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be used to make generalizations about the population if the order of the population is random or random-appearing (for example, alphabetical).

Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out.

Similar to basic random sampling, systematic sampling can be used with a list of the complete population. Contrary to basic random sampling, one can still utilize this technique if you don't have access to a list of the population beforehand.

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The value of x in the given figure is x = 22.56 m .

In the question ,

a figure is given where the measure of angle(C) = 70° and angle(A) = 30°

In the triangle ABC ,

By Angle Sum Property Of Triangle  

angleA + angleB + angleC = 180°

30° + angleB + 70° = 180°

angleB = 180° - 100°

angle(B) = 80°

By using Sine Law ,

a/Sin(A) = x/Sin(C)

From the figure ,

a = 12 m

we get ,

12/Sin(30°) = x/Sin(70°)

x = (Sin70° × 12)/Sin(30°)

x = 11.2763/0.5

x = 22.5526

x ≈ 22.56 m

Therefore , The value of x in the given figure is x = 22.56 m .

The given question is incomplete , the complete question is

Find the value of x in the given figure ?

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Answer:

I'm pretty sure the answer would be >

Answer: |-8|>-2

Step-by-step explanation:

Because of the lines on both sides of the "-8" you don't pay attention to the "-" sign. That is because this is an absolute value sign. So instead you would read that as 8 ? -2 and which of course 8 is clearly greater

Hope this helps ;)

The equation of the line perpendicular to y = - (1 / 2) · x - 2 and that passes through the point (x, y) = (- 3, - 5) is y = 2 · x + 1.

In this problem we must determine the equation of a line perpendicular to another line, provided that the equation of a line and a point of intersection are given. According to analytical geometry, two lines are perpendicular if and only if the product of the two slopes equals - 1.

The equations of the line are defined by functions of the form:

y = m · x + b

Where:

And the slope relationship between two perpendicular line:

m · m' = - 1

Where:

First, derive the equation of the line in slope-intercept form:

x + 2 · y = - 4

2 · y = - x - 4

y = - (1 / 2) · x - 2

Second, calculate the slope of the perpendicular line by the slope relationship:

m' = - 1 / (- 1 / 2)

m' = 2

Third, find the y-intercept of the perpendicular line by the equation of line, the slope and the coordinates of the given point:

b = y - m · x

b = - 5 - 2 · (- 3)

b = - 5 + 6

b = 1

Then, obtain the equation of the line in slope-intercept form:

y = 2 · x + 1

The equation of the line is y = 2 · x + 1.

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Answer:

The measure of its supplementary angle is 18.6 degrees

Step-by-step explanation:

A Supplementary angle is any two angles that sum up to 180 degrees

With this in mind we can subtract 180 - 161.4 to get the measure of the other angle.

Since 161.4 + 18.6 = 180 this is correct

Answer: The supplementary angle to 161.4 degrees is 18.6 degrees.

Step-by-step explanation: the sum of two supplementary angles is always 180 degrees.

180-161.4 is equal to 18.6 degrees.

3 is the amplitude, -4 is the minimum value, and 2 is the highest value.

acc to our question-

Hence,3 is the amplitude, -4 is the minimum value, and 2 is the highest value

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41/5

Step-by-step explanation:

14/5=9+2+q

14/5=11+q

14=55+5q

14-55=5q

-41=5q

q=-41/5

Answer: No Solution

Explanation: 10 + r = 3 + r - 7

Combine like terms: 10 + r = -4 + r

Subtract R to both sides: 10 = 4

There is NO SOLUTION

Answer:

v>3

Step-by-step explanation:

2v>7-1

2v>6

v>6/2

v>3

Answer:

2

Step-by-step explanation:

If the doors for the small cabinets are 17.5 in long, and the doors for the large cabinets are 3.5 times longer, find the length of the large cabinet doors by multiplying the length of the small cabinet doors by 3.5:

⇒ Length of large cabinet doors = 17.5 × 3.5 = 61.25 in

1 foot = 12 inches

⇒ 12 foot = 12 × 12 = 144 inches

To find how many large doors can be cut from a board that is 12 feet long, divide 144 inches by the found length of the large door:

⇒ 144 ÷ 61.25 = 2 r 21.5

Therefore, 2 large doors can be cut from a board that is 12 feet long.

(There will be 21.5 inches of board left over).

the company uses 37 screws to make each table and 14 screws to make each chair. The company needs to order screws for 12 tables and 48

By using the rate of change formula for linear equations, we will see that the statement is true.

Here we have the following statement:

"The student reads at a rate of 48 pages per hour."

Which relates to the linear equation represented on the table.

A general linear equation is written as:

y = a*x + b

Where a is the rate and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the rate is:

rate = (y2 - y1)/(x2 - x1)

Using the first two points (1,644) and (4, 500) we can get the rate:

R = (500 - 644)/(4 - 1) = -48

So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.

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Answer:

Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140 Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160

Step-by-step explanation:

From the given statements regarding angle the point b) DE is parallel to AC with its reason - AB is a transversal cutting DE and AC will be the correct statement.

DE and AC are parallel for this to work angle 1 is at A, angle 2 is at B and angle 3 is at C. In addition, angle 4 is the alternate interior angle to angle 1 once DE is constructed, as is angle 5 to angle 3. Then the missing reasons are alternate interior angles theorem and definition of congruent angles.

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a. Using the Pythagorean Theorem, side c = 150 feet

b. Area = 5,400 ft²

c. Applying the converse of the Pythagorean Theorem, the triangle would be a right triangle if the sum of the squares of two sides equals the square of the other side.

The converse of the Pythagorean theorem states that if the sum of the squares of the two smaller sides of a triangle is equal to the square of the longer side, then the triangle is a right triangle.

a. Apply the Pythagorean theorem:

c = √(a² + b²)

c = ?

a = 90 feet

b = 120 feet

Substitute

c = √(90² + 120²)

c = 150 feet

b. Area = 1/2(a)(b) = 1/2(90)(120)

Area = 1/2(10,800)

Area = 5,400 ft²

c. Using the converse of the Pythagorean Theorem, we can check if the sum of the squares of two sides equals the square of the other side.

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After one hour (60 minutes, the value of the temperature is 550 degrees.

Temperature is the degree of hotness and coldness that a body contains.

In this case, after graph, after 12 minutes the coffee is about 110 degrees. The temperature per minute will be:

= 110 / 12

= 9.167° per minute.

Therefore, the temperature after 1 hour which is 60 minutes will be:

= Time × Rate

= 60 × 9.167°

= 550°

The temperature is 550°.

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If 1/5 of Joanna's monthly savings is $55 the equation of her savings is

The solution to the equation is $275

information from the question include

Joanna saves $55 each month from her part-time job

She saves 1/5 of her earnings

let x represent the Joanna's earnings

The equation of Joanna savings is represented in the form

1/5 of x = 55

This equation deals with multiplication and the term 'of' as used in math represents multiplication

Hence 1/5 of x = 1 / 5 * x = x/5

x/5 = 55

multiplying both sides by 5

x = 275

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The distance traveled with 3 gallons is 96 miles.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The distance traveled with 11 gallons = 352 miles

This means,

1 gallon = 352/11 miles

1 gallon =  32 miles

Now,

1 gallon =  32 miles

Multiply 3 on both sides.

3 gallons = 3 x 32 miles

3 gallons = 96 miles

Thus,

The distance traveled with 3 gallons is 96 miles.

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Answer:

I believe the answer is Yes because there is a constant arithmetic sequence and I believe the common difference is 4.

Answer:

x = 20

Step-by-step explanation:

We know that a straight line is 180 degrees. We also know that the line A and B is a supplementary angle.

We subtract 180 - 110 which will come out to 70 which is the value of angle B

We know that angles D and E are 90 degrees and since D and C is 180 degrees, that means C and E is equal to 90 degrees as well.

Since B is equal to 70 degrees, we subtract 90 - 70 to get 20 degrees which is the value of x

Solving for g in the equation g =  (c - p)/0.325

An equation is a mathematical expression that show the relationship between two variables.

Since we are given the equation c = 0.325g + p, we desire to make g subject of the formula.

To do this, we perform some mathematical operations on it.

So, c = 0.325g + p

Now, to isolate 0.325g on the right hand side, we subtract p from both sides of then equation.

So, c = 0.325g + p

c - p = 0.325g + p - p

c - p = 0.325g

Now to isolate g, we divide both sides of the equation by 0.325. So, we have

c - p = 0.325g

(c - p)/0.325 = 0.325g/0.325

g = (c - p)/0.325

So, we have g =  (c - p)/0.325

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In longhand notation, the electron configuration is

1s² 2s² 2p6 3s¹

Noble gas configuration

[ Ne ] 3s¹

Complete question:

Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.

What is electron configuration?

The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.

In longhand notation, the electron configuration is

1s² 2s² 2p^6 3s¹

Noble gas configuration

[ Ne ] 3s¹

Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].

[ Ne ] represents the electron configuration of [ Ne ].

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Answer:

D) [Ne]3s1

☆
EDGE2023; Good Luck :D!!!

The probability distribution is a) discrete, with b) a mean of 1.23, the standard deviation is c) 0.6458, d) the probability that an American will take 3 or more trips is 0.04, e) the probability that an American will take 2 or less trips is 0.96 and, f) the probability to take at least one trip is 0.94

It is given that the probability distribution of the no. of trips an American adult takes that lasts 5 nights or more

x              probability

0                  0.06

1                   0.70

2                  0.20

3                  0.03

4                  0.01

a)

Here we can see that all the values are isolated and there is no continuity between them. The distribution clearly has breaks between them.

Hence, we can say that the distribution is discrete.

b)

The expected value of any probability

E(X) = ∑xp(x)

where,

x is the random variable

p(x) is the probability of the corresponding random variable hence we get

E(X) = 0 × 0.06  +  1 × 0.70  +  2 × 0.20  +  3 × 0.03  +  4 × 0.01

= 0  +  0.7  +  0.4  +  0.09  +  0.04

= 1.23

Hence the expected value is 1.23

c)

The standard deviation is √σ²

Where σ² = variance of the distribution

σ² = E(X²) - {E(X)}²

{E(X)}² = 1.23²

= 1.5129

E(X²) = ∑x²p(x)

= 0 × 0.06  +  1 × 0.70  +  4 × 0.20  +  9 × 0.03  +  16 × 0.01

= 0.7  +  0.8  +  0.27  +  0.16

= 1.93

Therefore,

σ² = 1.93  -  1.5129

= 0.4171

Therefore

σ = 0.6458

d)

The probability to take 3 or more trips is

P(X≥3)

= P(X = 3)  +  P(X = 4)

= 0.03 + 0.01

= 0.04

e)

The probability of an American taking 2 or less trips is

1 - P(X≥3)

= 1 - 0.04

= 0.96

f)

The probability that an American will take at least one trip is

P(X≥1)

= 1 - P(X = 0)

= 1 - 0.06

= 0.94

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In order pair (4,9), 9 is the y- coordinate while 4 is the x-coordinate.

The coordinates are the pair of numbers that describe the position of some point in a plane using the horizontal x-axis and the vertical y-axis as the point of reference. The representation of this coordinate is usually done by (x,y) where x represents the point's reference with respect to the x-axis and y represents the point's reference with respect to the y-axis. There are four quadrants in the graph which are named quadrant 1, quadrant 2, quadrant 3, and quadrant 4. In quadrant 1 both the x and y-axis is positive, in quadrant 2 x-axis is negative and the y-axis is positive, in quadrant 3 both the x and y-axis are negative, and in quadrant 4 x-axis is positive while the y-axis is negative.

I hope this answer helps

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Answer:

9

Step-by-step explanation:

Remember that all points have the form, [tex](x,y)[/tex].

Soo in this problem,

                    [tex]\begin{cases}\text{4 is the x-coordinate}\\\text{9 is the y coordinate}\end{cases}[/tex]

Thus, The y-coordinate is 9!!

The function has a maximum value of 30 at x = 3.

Given Function:

f(x) = -3+18x+3

here a = -3 , b = 18 , c = 3

a is negative so it has maximum value

x = -b/2a

= -18/2*(-3)

= -18/-6

= 18/6

= 3

f(x) = -3* + 18*3 + 3

= -3*9+54+3

= -27+54+3

= 27+3

= 30

Therefore the function has a maximum value of 30 at x = 3.

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