5. Factorise: p2 - 11p +30

Answer:

plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10

Step-by-step explanation:

Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]

i.e., cos(x) =  [tex]-\frac{\sqrt{3} }{2}[/tex]

Also cos([tex]\frac{\pi}{6}[/tex]) =  [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].

We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = -  [tex]-\frac{\sqrt{3} }{2}[/tex] =  [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

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Answer:

3^2m^2n^4

Step-by-step explanation:

3^2m^2 * n^4

Answer:

m = - 1 and b = - 4

Step-by-step explanation:

the equation of a line in slope= intercept form is

y = mx + b (m is the slope and b the y- intercept )

here slope m = - 1 , then

y = - x + b ←  is the partial equation

to find b substitute (- 3, - 1 ) into the partial equation

- 1 = 3 + b ⇒ b = - 1 - 3 = - 4

y = - x - 4 ← equation of line

with m = - 1 and b = - 4

The value of the c is obtained as; c = ac/(b + a - 4ab).

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.

Now, for the given equation in three variables;

(1/a)+(1/b)-(1/c) = 4

Bring the quantity to be find on one side and others on the other side.

1/a + 1/b - 4 = 1/c

Taking LCM on the left hand side.

(b + a - 4ab)/ab = 1/c

Taking the reciprocal on the both side.

c = ac / (b + a - 4ab)

Thus, the solution of the given equation in the terms of the c is;

c = ac / (b + a - 4ab).

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The cost of the trainers in pounds which is $60 in the USA is £44.94

What is exchange rate?

The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:

$1 = £0.749

$60=60*£0.749

$60=cost a pair of trainers=£44.94

In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749

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The fraction of his salary  he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent

What fraction of total salary is saved?

The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively

If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved

savings=1-(2/5)-(3/10)

if lcm is 50, we would have the below

savings=(50-20-15)/50

savings=15/50

savings=3/10

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Answer:

2x)\9

Step-by-step explanation:

Answer:

X+3/6=

Step-by-step explanation:

d ; x = 36 degrees

Straight angle = 180 degrees

The Acute angle = 2x

The Obtuse angle = 3x

2x + 3x = 180

5x = 180

x = 180/5

x = 36

Answer: 4 Days

Step-by-step explanation:

To drive a 100 miles you would do 0.05*100=5

it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50

37.50*4=150+42.50=192.50

she could rent the car for 4 days

The sum of the fraction given in decimal will be 3.46.

It should be noted that the information is for us to simply add the values that are given.

This will be:

= 3/20 + ✓10

= 0.3 + 3.16

= 3.46

Therefore, the sum of the fraction given in decimal will be 3.46.

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Answer:

The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.

Step-by-step explanation:

The confidence interval lies between (0.827754, and 1.77225).

What is confidence interval ?

Here, sample mean x = 1.3

sample standard deviation s = 0.45

and sample size n = 6

The 95% confidence interval for the mean waste recycled

= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X  [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]

= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X  2.57058

= (0.827754, 1.77225)

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The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

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The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

Let the cost of cherry pies be x and the cost of blackberry pies be y.

In case of Carlos, we get the equation as:

7 x + 4 y = 71   …(1)

In case of Elisa, we get the equation as:

3 x + 4 y = 51

4 y = 51 - 3 x   …(2)

Put equation (2) in equation (1)

7 x + 51 - 3 x = 71

4 x = 71 - 51

4 x = 20

x = 20 / 4

x = 5

4 y = 51 - 3 (5)

4 y = 51 - 15

4 y = 36

y = 36 / 4

y = 9

Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

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The sum of the radii of the two circles C₁ and C₂ is 4 units

Given data

Two circles C₁ and C₂ have their centres at the point (3,4)

The centre of C3 is at the point (0,0) and its radius is 2

And C1 and C2 is touching C3

Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r

The distance, d from the origin using point x and y given is solved for as follows:

d^2 = x^2 + y^2

d^2 = 3^2 + 4^2

d^2 = 9 + 16

d^2 = 25

d = √25

d = 5

Radius if the two circles is 5 - 3 = 2

One of the radius is 2 hence sum of the two radii

= 2 + 2

= 4 units

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Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.

Given that,

Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.

Cost for Kersey is reportedly;

$17.95 per pair of pants

$24 for each sweater

If there are x pants.

The overall price for Kersey is then;

17.95x + 24

Cost for Jeana, we are informed, is;

$18.95 for each pair of pants

Sweater price: $18

If there are x pairs of pants.

Therefore, Jeana's overall cost is;

18.95x + 18

In the following circumstances, their overall cost will be equal:

17.95x + 24 = 18.95x + 18

18.95x - 17.95x = 24 - 18

x = 6

Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.

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The slope of the line is: 1.

Slope of a line (m) = rise of the line / run of the line.

Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.

Rise of the line = 2 units

Run of the line = 2 units

Slope of the line = 2/2

Slope of the line = 1

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Answer:

44

Step-by-step explanation:

It is horizontally compressed by a factor of 3 and reflected over the x-axis.

The parent function is given as:

y = 1/x

When the above function is compressed by a factor of 3, the function becomes

y = 1/3x

Next, when the above function is reflected over the x-axis or the y-axis, the function becomes

y = -1/3x

Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.

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Answer:

The qzz answers to whole thing for "transformations of functions" on Edg. is the following:

1) B

2) A

3) A

4) B

5) B

6) C

7) C

8) A

9) D

10) B

Step-by-step explanation:

Trust me! I got 100% :)

Answer:

y = 25m + 350

Step-by-step explanation:

She already has 350 and every month she will add an additional 25

Answer:

Anna saving her money from m months is 375

the volume of the cone when radius is cm  and height is 13 cm is 340.34 cm³

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.

Here, the given data for cone are :

radius of base r = 5 cm = 0.05 m

height of cone h = 13 cm = 0.13 m

Now, the volume V of cone is given by :

V = 1/3 πr²h

Now, finding the volume of cone by substituting the values in above equation :

V = 1/3 πr²h

V = 1/3  π x (5)² x 13

V = 340.34 cm³

Therefore, the volume of the cone is 340.34 cm³

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Answer:

can you resend the picture again because its not clear plss

Answer:

d-7 would be the equation. If you don't know what D is, use the variable "D"

Answer:

4.550.

Step-by-step explanation:

Converting to decimal form:

9/2 = 4.5

4 1/2 = 4.5

4.505

4.550

The largest is 4.550.

The required equation of the line is y = 7x–27.

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I just need the points gggggggg

The probability is 0.1932 that a randomly selected man considers himself a professional fan.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given data as:

The number of randomly selected men, n = 10.

Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61

Probability of failure, that a randomly selected man does not consider himself a professional fan is:

⇒ q = 1 − p = 1 − 0.61= 0.39

The probability that the number of men who consider themselves professional fans is:

⇒ ⁿcₓpˣqⁿ⁻ˣ

Substitute exactly x = 5

⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵

⇒ ¹⁰c₅(0.61)⁵(0.39)⁵

⇒ 0.1932

Therefore, the required probability is 0.1932.

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