1. 2² X 5⁵ 2⁴ 2. (6⁵)² 6⁷ 3.(2x7)⁵ 7⁴ toloong

Answer:

(-9.6,2)

Step-by-step explanation:

hope i helped

pls can i get brainliest

-Zylynn

Answer:

Step-by-step explanation:

k(x) = 2x² - 7

p(x) = x - 4

To find (k ∘ p)(x) substitute p(x) into k(x),

that's replace any x in k(x) by p(x)

We have

(k ∘ p)(x) = 2(x - 4)² - 7

Expand

(k ∘ p)(x) = 2( x² - 8x + 16) - 7

= 2x² - 16x + 32 - 7

Simplify

We have the final answer as

Hope this helps you

Answer:

(k ∘ p)(x) = 2x² - 16x + 25

Step-by-step explanation:

hope this helps

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

Answer:

1.8 pounds

Step-by-step explanation:

All you have to do is multiply 0.1 * 4, and then 0.1 * 14. Once you get the products, you can just add them together to get 1.8 pounds

Answer:

[tex]10a^{2} b^{2} +6a^{3} b+12a^{3} +2a^{2}[/tex]

Step-by-step explanation:

Answer:

The answer is 39 kg

Step-by-step explanation:

We are looking for the weight of box A so we will use the number given to use for Box A.

We also have the total which is 194/4 kg

If we divide 195 by 5 we will get 39 kg

But to check if your answer is correct also divide 195 by 41 and that will give us 4.75 kg

And if you add the two answers up your will get 43.75 kg

Now we need to find the weight of Box B to see if our answer is correct

When you subtract 43.75 from 195 you will get 151.25

When we will add 43.75 to 151.25 you will get 195

So the answer is correct, the answer is 39 Kg

Answer:

[tex]\boxed{2x-3}[/tex]

Step-by-step explanation:

[tex]f(x)=3x-1\\ g(x)= x+2[/tex]

[tex](f-g)(x)\\f(x)-g(x)[/tex]

[tex](3x-1)-(x+2)\\ 3x-1-x-2\\2x-3[/tex]

Answer:  1) c    2) a     3) d

Step-by-step explanation:

[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\[/tex]

******************************************************************************************

Reference angle is the angle measurement from the x-axis.  There is no such thing as a negative reference angle.

-183°  is 3° from the x-axis so the reference angle is  [tex]\large\boxed{3^o}[/tex]

*******************************************************************************************

Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.

To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations.  Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ I

Answer:

258.47

Step-by-step explanation:

v=πr²h/3

=π4.2 ×14/3

=258.615

Answer:

$149.66

Step-by-step explanation:

Step 1

Calculate Total Amount payable to the bank using compound interest

Total Amount payable (A) =

P(1 + r/n)^nt

P = Principal = $2000

r = Interest rate = 9% = 0.09

n = compounding interest = quarterly = 4

t = time in years = 2

Total Amount payable

= 2000(1 + 0.09/4)^0.09 × 2

A = $ 2,389.66

Interest = A - Principal

= $ 2,389.66 - $ 2,000.00

I (interest) = $ 389.66

Step 2

Calculate the Total amount payable to his uncle using simple interest.

Total Amount (A) = P(1 + rt)

P = Principal = $2000

r = Interest rate = 6% = 0.06

t = time in years = 2

A = 2000(1 + 0.06 × 2)

A = $2,240

A - Principal

= $ 2,240 - $ 2,000.

I (interest) = $240

Step 3

The amount of money you will save by borrowing the money from your uncle is calculated as:

Amount payable to the bank - Amount payable to your uncle

= $ 2,389.66 - $2,240

= $149.66

Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66

Answer:

6x^2 + 5x + 6

Step-by-step explanation:

Distributive property

Answer:

=6x^2+5x−6

Step-by-step explanation:

Using the foil method, 3x*2x+3x*3+-2*2x+-2*3

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the y intercept rewrite the equation in the above form

That's

4x - 2y =- 12

2y = 4x + 12

Divide both sides by 2

y = 2x + 6

comparing with the above formula the y intercept is 6

That's

(0 , 6)

The x intercept of a line the x coordinate on the line when y = 0

To find the x intercept let y = 0

That's

2x + 6 = 0

2x = - 6

Divide both sides by 2

x = - 3

The x intercept is - 3

That's

(- 3 , 0)

Hope this helps you

Answer:

the answer is x=-3 and y=6 so that means it is B.

4x-2y=-12

then; plug in 0 for x and then solve;

y=6

then do the same for the other side. plug in 0 for y and then solve.

x=-3

Hope this helps!

Answer:

48.

Step-by-step explanation:

[tex]\frac{24\sqrt{72} }{3\sqrt{2} }[/tex]

= (24 / 3) * [tex]\frac{\sqrt{72}} {\sqrt{2} }[/tex]

= 8 * [tex]\frac{\sqrt{72} * \sqrt{2}} {\sqrt{2} * \sqrt{2} }[/tex]

= 8 * [tex]\frac{\sqrt{144}} {2}[/tex]

= 8 * (12 / 2)

= 8 * 6

= 48.

Hope this helps!

Answer:

this. question is not clear please send clear question

We can conclude that -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have the following two functions -

y = -x

AND

y = x

Refer to the graphs attached for both the functions -

y = - x     and     y = x

The graphs as seen pass through the origin. One graph (y = x) has a slope of +1 while the other one (y = - x) has a slope of -1. The y - intercept of both the graphs will be 0.

We can conclude that -

To solve more questions on straight line, visit the link below-

https://brainly.com/question/29030795

#SPJ2

Answer:

write the question correctly so I can help you

Step-by-step explanation:

Answer:

366 minute

Step-by-step explanation:

first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366

Answer:

Step-by-step explanation:

First off:

multiply 1.7x103 and you get 175.1 then you multiply 2x103 and you get 206.

multiply 175.1x206 and you get 36070.6

Final answer is 36070.6

Answer:

36070.6

Step-by-step explanation:

HERE YOU GO!!!!!!!!!!

Answer:

D

Step-by-step im not Shure but I think its D

Answer:

5.1.

Step-by-step explanation:

5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.

Hope this helps!

Answer:

Step-by-step explanation:

5.1

Answer:

11√6

Step-by-step explanation:

5√6 +6√6 will equal to 11√6, because since √6 is the same, you just add the number on the outside

Answer:

3x³ − x² − x − 4 + (-5/(x−1))

Step-by-step explanation:

Use long division (see attached picture).

Answer:

The answer is f(x) = -sin(x) as you can see in the graph below

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180.

Subtract the sum of 106 and 42 from 180.

180-(106+42)

180-(148)

32

x is equal to 32 degrees.

Answer:

1).

A. Reflection across the y axis.

2).

A. Clockwise rotation about point B and a translation 20 units down.

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a B. 90 degree counter

clockwise rotation about point A  followed by a B. Reflection across the y-

axis and a translation 20 units down

Reasons:

The coordinates of the point (x, y) following a rotation of 90°

counterclockwise is the point (-y, x)

Taking point A as the origin

The coordinates of point A = (15, 10)

Coordinates of the points B, relative to the point A = (0, 10)

Coordinates of the points C, relative to the point A = (5, 5)

Coordinates of the points D, relative to the point A = (5, -5)

The location of the image of point B, following a rotation about the point A, is therefore;

B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)

The coordinates of the image of the point (x, y), following a reflection

across the y-axis is the point (-x, y). The coordinates of the parallelogram

A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),

C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ

are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)

The x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,

therefore, we translate A''B''C''D'', 20 units down to get;

B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)

Coordinates of A'''(-15, -10) = G(-15, -10)

Coordinates of B'''(-5, -10) = H(-5, -10)

Coordinates of C'''(-10, -5) = I(-10 - 5)

Coordinates of D'''(-20, -5) = J(-20, -5)

Therefore;

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a;

Followed by a;

Learn more here:

https://brainly.com/question/1593448

Answer:

120

Step-by-step explanation:

Know that in a rotation, unless stated otherwise, it's always going clockwise. Knowing this, you'd only have to turn your triangle one time, and since its interior angles are 120 each, your answer is 120. Hope this helps!

Answer:

             i) TRUE

             ii) TRUE

             iii) TRUE

Step-by-step explanation:

[tex](ab+bc)(ab-bc)+(bc+ca)(bc-ca)+(ca+ab)(ca-ab)=\\\\=\underline{(ab)^2}-(bc)^2\ \,+\ \,(bc)^2-(ca)^2\ \,+\ \,(ca)^2-\,\underline{(ab)^2}=\\\\=0+0+0=0[/tex]

[tex](a+b+c)(a^2+b^2+c^2-ab-bc-ca)=\\\\=a^3\,\underline{\,+ab^2}\ \underline{\underline{+\,ac^2}}\,-a^2b\ -\,abc\ \underline{\underline{\underline{-\,a^2c}}}+a^2b+b^3+bc^2\,\underline{-\,ab^2}\ \underline{\underline{\underline{ \underline{-\,b^2c}}}}\,-\,abc+\\{}\qquad\qquad\qquad\qquad\qquad\qquad \qquad\qquad \underline{\underline{ \underline{+\,a^2c}}}\ \underline{\underline{\underline{\underline{+\,b^2c}}}}+c^3\,-\,abc-bc^2\ \underline{\underline{-c^2a}}=[/tex]

[tex]=a^3\ \underline{-\,a^2b}\ \underline{\underline{-\,abc}}\ \underline{+\,a^2b}+b^3\ \underline{\underline{\underline{+\,bc^2}}}\ \underline{\underline{-\,abc}}+c^3\ \underline{\underline{-\,abc}}\ \underline{\underline{\underline{-\,bc^2}}}=\\\\=a^3+b^3+c^3-3abc[/tex]

[tex](p-q)(p^2+pq+q^2)=\\\\=p^3\ \underline{+\,p^2q}\ \underline{\underline{+\,pq^2}}\ \underline{-\,p^2q}\ \underline{\underline{-\,pq^2}}-q^3=\\\\=p^3-q^3[/tex]

Answer:  see proofs below

Step-by-step explanation:

7i)  (ab + bc)(ab - bc) = a²b² - ab²c + ab²c - b²c²  →  a²b² - b²c²

  + (bc + ca)(bc - ca) = b²c² - abc² +abc² - a²c²   →             b²c²  - a²c²

  + (ca + ab)(ca - ab) = a²c² - a²bc + a²bc - a²b²  →                      a²c² - a²b²

                                                                             =   a²b² +  0   +   0   - a²b²

                                                                             = 0

7ii) a(a² + b² + c² - ab - bc - ca) = a³ + ab² + ac²           - a²b - abc - a²c

  + b(a² + b² + c² - ab - bc - ca) = b³ - ab²          + bc² + a²b - abc           - b²c

  + c(a² + b² + c² - ab - bc - ca) = c³           - ac² - bc²           - abc  + a²c + b²c

                                 =  a³ + b³ + c³  + 0     + 0   + 0     + 0   - 3abc + 0   + 0

                                  = a³ + b³ + c³ - 3abc

7iii) p(p² + pq + q²) = p³ + p²q + pq²

    -q(p² + pq + q²) =     - p²q  -  pq² - q³

                              = p³   + 0    + 0    - q³

                              = p³ - q³

total frequency divided by no. of goals

30 ÷ 5

6

Answer:

x^2y^2(x+y)(x^2-xy+y^2)

Step-by-step explanation:

x^5y^2+x^2y^5

Factor out the greatest common factor

x^2y^2( x^3+y^3)

Apply the Sum of Cubes Formula x^3+y^3 =(x+y)(x^2-xy+y^2)

x^2y^2(x+y)(x^2-xy+y^2)

Answer:

The answer is

Step-by-step explanation:

[tex] {x}^{5} {y}^{2} + {x}^{2} {y}^{5} [/tex]

To factorize the expression first factor

x²y² out

We have

x²y²( x³ + y³)

Using the expression

Factorize the terms in the bracket

So we have

x³ + y³ = ( x + y)(x² - xy + y²)

Combine the expressions

We have the final answer as

Hope this helps you

Step-by-step explanation:

hope it will help you..........

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠MNP = 90° so we can use Pythagorean theorem:

[tex]MN^2+NP^2=MP^2\\\\MN^2+48^2=50^2\\\\MN^2+2304=2500\\\\MN^2=196\\\\MN=\sqrt{196}\\\\MN=14\,ft[/tex]

Answer:

the data is constructed around 6 and 1 is the outlier

Step-by-step explanation: