f(n) = 65 - 4n; 29

determine which term produces the given number?​

Answer:

B

Step-by-step explanation:

Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.

Answer:

B.

Step-by-step explanation:

Arranged from largest to smallest

Answer:

170$

Step-by-step explanation:

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

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Answer:  [tex]\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}[/tex]

Step-by-Step Explanation:

Pythagorean Theorem is: a² + b² = c²  , where "c" is the hypotenuse

[tex]5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

[tex]6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}[/tex]

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

[tex]7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Note: hypotenuse not needed for tan

[tex]8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}[/tex]

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

5) cosθ = [tex]\frac{\sqrt{11} }{6}[/tex] , 6) cosθ = [tex]\frac{8}{17}[/tex] , 7) tanθ = [tex]\frac{4}{3}[/tex] , 8) cosθ = [tex]\frac{1}{\sqrt{10} }[/tex]

If, a be the perpendicular, b be the base & c be the hypotenuse of a right angle triangle.

Then, [tex]c=\sqrt{a^{2}+ b^{2} }[/tex]

cosθ = (Side adjacent to θ)/(Hypotenuse)

sinθ = (Side opposite to θ)/(Hypotenuse)

tanθ = (Side opposite to θ)/(Side adjacent to θ)

5) Hypotenuse = [tex]\sqrt{(3\sqrt{11}) ^{2} +15^{2} }[/tex]

                            = [tex]\sqrt{99+225}[/tex]

                            = [tex]\sqrt{324}[/tex] = 18

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

           = [tex]\frac{3\sqrt{11} }{18}[/tex] =[tex]\frac{\sqrt{11} }{6}[/tex]

6) Hypotenuse = [tex]\sqrt{8^{2} +15^{2} }[/tex]

                             = [tex]\sqrt{64+225}[/tex]

                             = [tex]\sqrt{289}[/tex] = 17

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

           = [tex]\frac{8}{17}[/tex]

7) tanθ = (Side opposite to θ)/(Side adjacent to θ)

               = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]

8) Hypotenuse = [tex]\sqrt{2^{2} +6^{2} }[/tex]

                              = [tex]\sqrt{4+36}[/tex]

                              = [tex]\sqrt{40}[/tex] = [tex]2\sqrt{10}[/tex]

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

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

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Answer:

Rational numbers are sometimes natural numbers​

Step-by-step explanation:

8 is a Rational number and is natural too

1/2  is a Rational number and but is not natural

Answer:

7 + 2 + 5 = 143547

Step-by-step explanation:

This question needs to identify the pattern

the pattern

is

5 + 3 + 2 = 151022

First two digits: 5*3 = 15   multiple of first and second term

third and fourth digit: 5*2 = 10 multiple of first and third term

last two digit = First two digits + third and fourth digit - second term

                    = 15+10 - 3 = 22

similarly

9 + 2 + 4 = 183652

9*2 = 18

9*4 = 36

18+36 - 2 = 52

____________________________________

5 + 4 + 5 = 202541

5*4 = 20

5*5 = 25

20+25-4 = 41

_______________________

7 + 2 + 5 = ??????​

7*2 = 14

7*5 = 35

14+35-2 = 49-2 = 47

thus, 7 + 2 + 5 = 143547

Answer:

g(-4) =1

Step-by-step explanation:

g(-4) we want to find the value of the graph when x = -4

Got over to x=-4

Got up to the blue line

read the value of the y coordinate

y=1

g(-4) =1

Answer:

³⁰C₄ = (30!)/(4!)(30-4)! = 27,405 WAYS

Answer:

(4,2)

Step-by-step explanation:

The solution to the system is where the two graphs overlap

The two graphs cross at x=4 y =2

(4,2)

Answer & Step-by-step explanation:

To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.

So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).

So, the solution of the equations graphed is (4,2)

I think the answer is A. conductor

Answer:

Step-by-step explanation:

Its insulation because the clothing traps in your body heat.

Answer:

C.

Step-by-step explanation:

a. 2^7 = 128

b. 2^11 = 2048

c. 2^12 = 4096

d. 2^64 = 1.844674407 * 10^19

16^3 = 4096

Answer:

976 cm²

Step-by-step explanation:

25 x 10 x 2 = 500

14 x 10 = 140

14 x 24 = 336 ((14x24/2)x2)

500 + 140 + 336 = 976

Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

Answer:

Try using estimation.

Make sure you don't start with the y-axis first.

I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.

Step-by-step explanation:

Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.

Answer:

letter of a shape with rotational symmetry of order 2 is B,D and F

Answer:

Step-by-step explanation:

i strongly believe it is  rotational symmetry of order 2 is B,D and F .

hope it helps

-Delilah

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using y2 - y1 / x2 - x1

36 - 21 = 15

15 - 10 = 5

15/5 = 3, so the slope (m) is 3.

Now, plug into point-slope form: y - y1 = m (x - x1)

y - 21 = 3 (x - 10)

Simplify

y - 21 = 3x - 30

y = 3x - 9

I hope this helps!!

Answer:

A is 62 b is 54 c is 62 and d is 62

And 7

Step-by-step explanation:

Since it equals to 180 you add 62 and 54 which gives u 118 then subtract it

Not sure about the second one

Answer:

7.

∠a = 64

∠b = 62

∠ c = 64

∠d = 54

8.

∠6  and ∠7

Step-by-step explanation:

7. I know bc opposite angles are equivalent.

8. I know bc supplementary angles  are two anglers that add to 180 degrees, aka a straight line.

Answer:

It is not cloudy.

Step-by-step explanation:

The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.

Answer: It is not cloudy.

Step-by-step explanation:

Answer:

40 socks

Step-by-step explanation:

There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:

[tex]n=(12*4) - 8\\n=40\ socks[/tex]

She must take at least 40 socks.

Answer:

The amount of ham in each cake = 1/12 kg

Question:

Matías bought a quarter kilogram of ham and used it to make three cakes like that. There was no leftover and he put the same amount of ham in each cake, how much he touched in each cake.

Step-by-step explanation:

Matías bought = 1/4 kilogram of ham

1/4 kilogram of ham = 3 cakes

There was no remainder

the same amount of ham is in each cake.

To find the amount of ham in each cake, we need to know the fraction of ham in each cake.

Since 3cakes = 1/4kg

1cake = (1/4kg×1cake)/3cakes

= 1/4kg ÷ 3 = 1/4 × 1/3

The fraction of ham in each cake = 1/12

The amount of ham in each cake = 1/12 kg

Answer:

A

Step-by-step explanation:

x+y=7

x-y=3

Firstly get x on its own.

You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10

from this it shows us 2x=10

Now het x on its own by dividing by 2

this leaves us with x=5

Now input this into any of the two equations and you will get y.

For example,

5+y=7

7-5=y

y=2

input this into the equations (x,y)

which leaves us with...

(5,2)

Answer:

Step-by-step explanation:

keep change flip

Answer:

Greater than (>)

Step-by-step explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

Distance Run this week

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

[tex]2.4+4p+2.4>26.1[/tex]

Jason should use the greater than inequality sign.

Answer:

He should use the greater than symbol, >. He would not beat his distance if he only ran 26.1 miles, so the greater than or equal to symbol would not be correct.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I attached a picture of the graph below. It has a slope of -1/2 and a y intercept of 1. Hope this helps!

Answer:

The last option on the list.

Step-by-step explanation:

Answer:

answer is B

Step-by-step explanation:

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

A sphere is a three dimensional solid shape. It is a set of points that are all at the same distance r from a common point. The distance r is the radius and the common point is the centre of the sphere.

Here,

The radius of the sphere is given by,

r = 12 units

The equation for volume of a sphere with radius r is given by,

V = 4/3 [tex]\pi[/tex]r³

So, the volume of the sphere is,

V = 4/3 x [tex]\pi[/tex] x 12³

V = 2.304 [tex]\pi[/tex]

V = 7234.56 unit³

Hence,

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

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Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

[tex]x=2y+3[/tex]      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

[tex]x=2(y+1)[/tex]     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

[tex]2y+3=2y+1[/tex]

[tex]3=1[/tex]

You obtain an inconsistency, hence, the situation of the problem does not have solution