If p(x) = x 3 + x 2+ root 5 x + root 5 , then find p( – 5 )

Answer:

336 ways

Step-by-step explanation:

The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.

The number 654-5222 contains 7 digits.

So, we have find The number of permutations for choosing 7 digits from 8 digits given above.

This can be done in following ways

[tex]\frac{8!}{3!\times2!}[/tex] = [tex]\frac{40320}{6\times2}[/tex]

= 336 ways

Answer:

Area of the image rectangle = 4(Area of the original rectangle)

Step-by-step explanation:

Length of the rectangle given in the graph = 4 units

Width of the rectangle = 2 units

Area of the rectangle = Length × Width

                                    = 4 × 2

                                    = 8  square units

Since, scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

2 = [tex]\frac{\text{Length of the image}}{\text{Length of the original}}[/tex]

Length of the image rectangle = 2(4)

                                                   = 8 units

Similarly, width of the image rectangle = 2(2)

                                                     = 4 units

Area of the image rectangle = 8 × 4

Area of the image = Area of the original × 4

Area of the image = 4(Area of the original)

Area of the image rectangle = 4(Area of the original rectangle)

Answer: the answer is c

Step-by-step explanation:

9514 1404 393

Answer:

  C.  ≥

Step-by-step explanation:

The wording "at least" means the same as "greater than or equal to," both in English and in math. The latter is usually how we describe the symbol ≥.

So, when (something) is "at least" 18, the symbol to use to describe that is ...

  (something) ≥ 18 . . . . . . matches choice C

Answer:

Yes they are wrong, rational & irrational ones down below.

Step-by-step explanation:

So, lets start this by asking, what is a rational and irrational number?

Rational numbers are literally any numbers that arent pi, e, or other symbols, as well as square roots.

Irrational numbers are exactly the opposite, being the numbers that are symbols, including square roots.

Note that the symbols listed above such as pi are values that are neverending.

Now, using what we know of rational and irrational numbers, let see which answers are rational and which are not.

So, we start off with:

-13/3

I do not see a square root.

I do not see a symbol such as pi either.

It is not a ever going number.(number that continues infinitly)

So -13/3 is a rational number.

Next we have [tex]\sqrt{37}[/tex]

immediatly we tell it has a square root.

So [tex]\sqrt{37}[/tex] is a irrational number.

Next we have 0.1234

This is not a every going number.

There isnt a square root.

And it isnt a symbol.

So 0.1234 is a rational number.

Next we have [tex]-\sqrt{100}[/tex]

Again, we can immediatly know it has a square root.

So  [tex]-\sqrt{100}[/tex] is a irrational number.

Next we have -77

This is not every going.

It doesnt have a square root.

It doesnt have a symbol.

So -77 is a rational number.

Lastly we have   [tex]-\sqrt{12}[/tex]

Like the other ones, we can imediatly tell it has a square root.

So [tex]-\sqrt{12}[/tex] is a irrational number.

Bascially, to answer further questions, here is the criteria for a number being rational:

If one of these criterias are not met, then you know its a irrational number.

Hope this helps! :D

Answer:

OPTION A& D

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Answer:

I believe it is 12.

Step-by-step explanation:

Answer:

it would be c

Step-by-step explanation:

Answer:

A first-order observation is that earthquakes and volcanoes occur across most of the continental region, and in parts of the oceanic region offshore East Africa.

Step-by-step explanation:

Ο   Ο

  ω

y = -5

...................

Answer:

[tex]V=405.04\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex] (the area of the base multiplied by the height divided by 3).

In the given cone, we have [tex]r=6.1\:\text{cm}[/tex] and [tex]h=10.4\:\text{cm}[/tex]. Substituting in these values, we get:

[tex]V=\frac{1}{3}\cdot 6.1^2\pi \cdot 10.4,\\V=\boxed{405.04\:\mathrm{cm^3}}[/tex]

Answer:

emir

Step-by-step explanation:

Answer:

Respuesta. el resultado (17) va ser el numerdaor de la fraccion y el denominador se mantiene.

Step-by-step explanation:

Answer: c

Step-by-step explanation:

The area of pentagon ABCDE is 36 times the area of pentagon PQRST. Therefore, the option C is the correct answer.

Any five-sided polygon or 5-gon is referred to as a pentagon. A basic pentagon's interior angles add up to 540°. A pentagon might be straightforward or self-intersecting.

We know the formula for the area of a pentagon, therefore, the area of the pentagon PQRST can be written as,

A= 1/4 ×√(5(5+25)×a²

Given that the side of the side length of pentagon ABCDE is 6 times the side length of pentagon PQRST, therefore, the area of the pentagon ABCDE can be written as,

Area of a ABCDE = 1/4 ×√(5(5+25)×(6a)²

= 1/4 ×√(5(5+25)×36a²

= 36A

Therefore, the option C is the correct answer.

Learn more about the Pentagon here:

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Answer:

18 more bags

Step-by-step explanation:

87 + 95 = 182

200 - 182 = 18

Answer:

What was the temperature at 4 p.m. each day this week?

(I'm not sure how many answers you can choose.)

Answer: 1) Using the order of operations, you first have to multiply the amount of each item by it's price, and then add those values. So for Pablo, you would do (0.50 x 1) + (0.75 x 3) + (1.25 x 3) and solve within the parentheses to get .50+2.25+3.75=$6.50

2) For Laurie, use the same method from #1. First multiply and then add, like so: (0.5 x 2) + (1.25 x 3) + (0.75 x 3) ---> 1+3.75+2.25, which equals $7

3) Laurie > Pablo

   $7.00 > $6.50

Step-by-step explanation:

The term order of operations is also known as PEMDAS

Parentheses

Exponents

M/D - Multiplication/Division (whichever comes first in the equation)

A/S - Addition/Subtraction (whichever comes first)

Hope this helps!

Step-by-step explanation:

1. 60in

2. 24in

3. 56m

4. 66m

Answer:

1. 20 half of 20 is 10(new radius),

10^10 = 100

100 x 3.14 = 314

314 divided by 2 = 157

2. 8 x 8 = 64, 64 divided by 2 ( x 1/2) = 32

half of 8 is 4(new radius)

4 ^4 = 16, 16 x 3.14 = 50.24

50.24 divided by 2 = 25.12

25.12 + 32 = 57.12

3. Half of 7 is 3.5(new radius)

Just find the area of a full circle since two semi circles make a full circle.

3.5^2 = 12.25

12.25 x 3.14 = 38.465,

21 x 7 = 147

147 + 38.465 = 185.465

4. Half of 6 is 3(new radius)

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 = 14.13

11 x 6 = 66, 66 divided by 2 (x 1/2) = 33

14.13 + 33 = 47.13

5. 81 divided by 4 = 20.25

half of 20.25 is 10.125(new radius)

10.125 x 2 x 3.14 = 63.585 rounded = 63.59

Answer:

using BODMAS, addition comes before subtraction. 2+5 is 7 and 1000000 - 7 is 999,993

Answer:

8.40

Step-by-step explanation: This means the cost of the item to you is $8.4. You will pay $8.4 for a item with original price of $12 when discounted 30%. In this example, if you buy an item at $12 with 30% discount, you will pay 12 - 3.6 = 8.4 dollars.

Answer:

The new total will be $8.40.

Step-by-step explanation:

The 30% off discount gives you $3.60 off of your purchase.

Answer:

10.1

Step-by-step explanation:

Answer:

10.1 units

Step-by-step explanation:

Since they have the same x axis you have to find the difference from the y axis. I just add the two if one is positive and the other is negative so 2.9+(-7.2) = 10.1

for the trapezoid/trapezium

the formula for finding the area of a trapezoid is A=(a+b)/2*h, and if you didnt know, a and b are always parallel.

for the parallelogram

it will always be b*h, this one is pretty easy to remember, also parallelograms include squares, rectangles, and anything with 4 sides.

the example

lets just say that we are missing a, which is the top one. now we have to fill in the missing little bit marked by a green square. this particular trapezoid is symmetrical, so we dont have to find the other side, but if it wasn´t, then you have to find the other side with the Pythagorean thoream. That is what we are going to do now. We have a and c and we need to find b in a²+b²=c², so plug in our values for a and c

(10)²+b²=(13)²

100+b²=169

now just isolate b and solve

b²=69

how to undo a square is by taking the square root of the other side of the equation

sqrt(69) is about 8.3

sorry this took me forever

Answer:

16. r = 20, t = 48

17. a = 104, b = 175

19. 144/252, 20/35

20. 14/21, 18/27

21. 16/48, 12/36

22. 219 grams

23. 5 milligrams

Step-by-step explanation:

Answer:

16. r = 20

     t = 48

17. a = 104

    b = 175

19. [tex]\frac{144}{20} =\frac{252}{35}[/tex]

     7.2 = 7.2

20. [tex]\frac{27}{18}= \frac{21}{14}[/tex]

     1.5 = 1.5

21. [tex]\frac{48}{16} =\frac{36}{12}[/tex]

     3 = 3

22. [tex]\frac{8}{3} :\frac{584}{y}[/tex]

     219 grams of peanuts

23. [tex]\frac{y}{2}: \frac{200}{80}[/tex]

     50 milligrams of medication

Step-by-step explanation:

16. [tex]\frac{r}{32} =\frac{5}{8} =\frac{30}{t}[/tex]

8 · 4 = 32

5 · 4 = 20

r = 20

5 · 6 = 30

8 · 6 = 48

t = 48

17. [tex]\frac{52}{a} =\frac{10}{20} =\frac{b}{350}[/tex]

Here is a different method.

[tex]\frac{10}{20} =\frac{1}{2}[/tex]

52 · 2 = 104

a = 104

350 ÷ 2 = 175

b = 175

22.

[tex]\frac{8}{3} :\frac{584}{y}[/tex]

8 · y = 3 · 584

8y = 1752

8y ÷ 8 = 1752 ÷ 8

y = 219

23.

[tex]\frac{y}{2}: \frac{200}{80}[/tex]

y · 80 = 200 · 20

80y = 4000

80y ÷ 80 = 4000 ÷ 80

y = 50

Answer: x=-1/2

Step-by-step explanation: Use the quadratic formula to get -4+the square root of zero divided by 2 times 4. Simplify to get -1/2 (hope this helps)

[tex] \huge \mathrm{\longmapsto \: Answer}[/tex]

_____________________________

We know,

[tex] \boxed{\mathrm{current = \dfrac{charge}{time}} }[/tex]

Now,

[tex] \boxed{ \mathrm{potential \: \: difference = i\times r}}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

m∠FAN = 80°

Step-by-step explanation:

Area of a sector is given by the expression,

Area of the sector = [tex]\frac{\theta}{360}\pi r^{2}[/tex]

Here, θ = central angle subtended by the arc

r = Radius of the circle

By substituting the values from the question,

288π = [tex]\frac{\theta}{360}(\pi )(36)^2[/tex]

θ = [tex]\frac{288\pi }{1296\pi }\times 360[/tex]

θ = 80°

Therefore, m∠FAN = 80° will be the answer.

Answer:

[tex]2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65[/tex]

Answer:

[tex]Volume \ of \ cuboid \ = Length * breadth * height[/tex]

                             = [tex]18*6*9 = 972m^3[/tex]

                           [tex]Surface \ area \ = 2*[(length*breadth) + (breadth * height) + (length * height)][/tex]

                         [tex]2*[(18*6)+(6*9)+(18*9)]\\2*[108 + 54 + 162] = 2 *324 = 648m^2[/tex]

Answer:

W (3 , 4) or W (3 . -4)

Step-by-step explanation:

W (3 , y), origin (0 ,0)

WO = √(3-0)²+(y-0)² = √9+y²

WO = 5

√9+y² = 5

9+y² = 25

y² = 16

y = ± 4

W (3 , 4) or W (3 . -4)

Answer:

-4

Step-by-step explanation:

The coordinates of the problem are (2,68)

you are correct!

Answer:

narrower

SD is greater

From the above data we get the correct options are narrower SD is greater.

We have given that,

Two movie theaters each surveyed 21 customers to determine their ages the table shows a summary of the results.

A survey is a research method used for collecting data from a predefined group of respondents to gain information and insights into various topics of interest.

Therefore from the above data we get the correct options are narrower SD is greater.

To learn more about the data visit:

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