The Marked price of an article was fixed to Rs 1380 by increasing 15% on its actual price. Find the actual price.​

Answer:

200

Step-by-step explanation:

250/100=2.5

2.5*80=200

So the answer is 200

ANSWER

1100010

EXPLANATION

converting 9810 to 2

The equation calculation formula for 98 base10 number to base 2 is like this below.

2|98|

2|49|0

2|24|1

2|12|0

2|6|0

2|3|0

2|1|1

2|1|1

Ans:1100010 base2

Given:

The graph of an exponential function.

To find:

The exponential growth factor as x increases by 1 unit.

Solution:

From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.

The general exponential function is:

[tex]y=ab^x[/tex]                 ...(i)

Where, a is the initial value and b is the growth factor.

Putting [tex]x=1,y=1[/tex] in (i), we get

[tex]1=ab^1[/tex]                  ...(ii)

Putting [tex]x=3,y=9[/tex] in (i), we get

[tex]9=ab^3[/tex]                  ...(iii)

Divide (iii) by (ii).

[tex]\dfrac{9}{1}=\dfrac{ab^3}{ab}[/tex]

[tex]9=b^2[/tex]

[tex]3=b[/tex]

b is the the growth factor and the value of b is 3.

Therefore, the exponential growth factor is 3 as x increases by 1 unit.

Answer:

exponential growth factor is 3

Step-by-step explanation:

Hello!

[ 50; 41; 30 ] = ?

50 | 2 × 5

5 | 5 => 50 = 2 × 5²

1 |

41 | 41 => 41 = 41

1 |

30 | 2 × 5

3 | 3 => 30 = 2 × 3 × 5

1 |

[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150

Good luck! :)

Answer:

x=6

Step-by-step explanation:

150+35x=60x

-35x         -35x

150= 25x

=================================================

Explanation:

Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.

The same thing applies to this current problem as well.

Divide each term by the -1.8 we want to factor out.

The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)

You can use distribution to verify this

-1.8(-2b+5)

-1.8*(-2b) - 1.8*(5)

3.6b - 9

Answer:

The height of the school building is approximately 21.06 meters

Step-by-step explanation:

The method of Geometry Tyler is using to determine the height of his school building is through the property that similar triangles have a common ratio of corresponding their sides

The given parameters for the triangle formed by Tyler and the mirror are;

The distance from Tyler's eyes to the ground = 1.15 meters

The horizontal distance between Tyler and the mirror at X = 0.8 m

The parameters of the triangle formed by the height, h, of the school building and the mirror at X are;

The horizontal distance between the school building and the mirror = 14.65 m

The height of the school building = h

Therefore, we have;

[tex]\dfrac{The \ distance \ from \ Tyler's \ eyes \ to \ the \ ground}{The \ height \ of the \ school \ building} =\dfrac{Tyler's \ horizontal \ distance \ from \ mirror }{The \ building \ to \ mirror \ horizontal \ distance }[/tex]Therefore;

[tex]\dfrac{1.15 \, m}{h} = \dfrac{0.8 \ m}{14.65 \ m}[/tex]

[tex]h = \dfrac{1.15 \, m \times 14.65 \, m }{0.8 \, m} = 21.059375 \ m[/tex]

The height of the school building h to the nearest hundredth meter ≈ 21.06 m.

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]

Answer:

6.5

Step-by-step explanation:

We need to solve out for x , the given Equation is ,

[tex]: \implies[/tex] x - 3x + 2 = -11

[tex]: \implies[/tex] -2x = -11 -2

[tex]: \implies[/tex] -2x = -13

[tex]: \implies[/tex] x = -13/-2

[tex]: \implies[/tex] x = 6.5

Answer:

x = 6.5

Step-by-step explanation:

[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]

Answer:

30in^3

Step-by-step explanation:

3x1^2x10=

3x1x10=

30

30in^3

Answer:

30 in^3

Step-by-step explanation:

The formula given for the volume of a cone is:

V = πr^2h

The formula needs the radius, but the picture just shows a diameter.

We know that the radius is always twice the diameter so:

Diameter: 2 in

2 ÷ 2 = 1

So the radius is 1 inch

Use the formula to determine the volume:

πr^2h

= 3(1^2)(10)

= 3(1)(10)

= (3)(10)

= 30

Hope this helps

Answer:

She could've factored further

Step-by-step explanation:

a^5 can be written as a^4*a

so the answer should've been 3a^3b*sqrt(6ab)

BRAINLIEST PLEASEEEEEEEEEEE

Answer:

She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).

[tex] 3a^3b\sqrt{6ab} [/tex]

Step-by-step explanation:

She should have factored a^7 as a^6 * a. Then sqrt(a^6 * a) = a^3 * sqrt(a).

Correct answer:

[tex] 3a^3b\sqrt{6ab} [/tex]

Answer:

7900 is the round off to the nearest hundred

Answer:

A

Step-by-step explanation:

Starting with the original equation:

[tex]\sqrt{1-3x} =x+3[/tex]

Squaring both sides to remove the root, and expanding the right side:

[tex]1-3x=(x+3)(x+3)[/tex]

Multiplying the right side:

[tex]1-3x=x^{2} +6x+9[/tex]

Combine like terms:

[tex]x^{2} +9x+8[/tex]

Factor:

(x+8)(x+1)

If x+8=0, then x= -8

If x+1=0, then x=-1

Answer:

Step-by-step explanation:

This is a reading question. You have to know what all the terms mean.

B: is the first one you have to think about. All real solutions. Is that the answer, or do you have to think about it more. The key word is solutions. So that takes in A. So B is the answer.

A is the second best answer. Any solution has to be on the blue line. The blue line is the visual record of what works in B. Well, why not pick A? It is because B is more general, and it includes A.

C More than whole numbers solve this question. The line is continuous.

D There are negative solutions as well. Not the answer.

Answer:

the answer is A. All solutions that lie on h(x)

i took the test

Step-by-step explanation:

Answer:

maybe 12 because

Step-by-step explanation:

30/25=1.2

10×1.2=12

Answer:

The Himalayas are still rising by more than 1 cm per year as India continues to move northwards into Asia, which explains the occurrence of shallow focus earthquakes in the region today. However the forces of weathering and erosion are lowering the Himalayas at about the same rate.

Step-by-step explanation:

we can tell that the himalayas are still rising because of the movement of india northwards into asia,so the more india moves to the north the more the himalayas rise by more than 1cm.

Answer:

[tex]896 \pi~m^3[/tex]

Step-by-step explanation:

[tex] V_{cylinder} = \pi r^2 h [/tex]

[tex] V_{cylinder} = \pi (8~m)^2 \times (14~m) [/tex]

[tex]V_{cylinder} = 896 \pi~m^3[/tex]

the answer is 862sq units probably

Answer:

54°

Step-by-step explanation:

Here :-

Measure of 6 :-

Answer:

m<6 = m<2 = 54º

Step-by-step explanation:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 162 / 18

x = 9

13x + 9

13(9) + 9

126

180 - 126

54

m<6 = m<2 = 54º

Answer:

Mean = 33+ 22+35+27+23+35+27+36 = 238/8 = 29.75

Median = 27+23 = 50/2 = 25

Mode = 35

Range = 36 - 22 = 14

Step-by-step explanation:

Stay Blessed

Answer:

l = 3w+2

l = 23

Step-by-step explanation:

The area of a rectangle is

A = lw  where l is the length and w is the width

l = 3w+2

A = 161

161 = (3w+2) *w

Distribute

161 = 3w^2 +2w

Subtract 161 from each side

0=3w^2 +2w -161

Factor

0=(w-7)(3w+23)

Using the zero product property

w-7 =0   3w+23 =0

w=7  w = -23/3

Since the width cannot be negative

w=7

l = 3w+2

l = 3(7)+2

l = 21+2 = 23

Length = 3w + 2 = 23.

Step-by-step explanation:

Given :-

Find :-

Solution :-

We know that ,

Area of rectangle = Length × Width.

161 = (3w + 2) × w

161 = 3w² + 2w

0 = 3w² + 2w - 161

0 = 3w² + 23w - 21w - 161.

0 = w ( 3w + 23 ) -7 ( 3w + 23)

0 = (3w + 23 ) ( w - 7)

w - 7 = 0 , 3w + 23 = 0

w = 7 , w = -23/3

Since, width of rectangle can't be negative.

so, w = 7 is right value of width.

Calculate for Length.

length = 3w + 2 ( plug the value of width)

Hence, length = 23

Answer:

34.9°

Step-by-step explanation:

SOH

CAH

TOA

SOH ... sin(x) = 8/14

arcsin(8/14) = 34.85°

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

Answer:

9 possible values of length and breadth.

Step-by-step explanation:

Given that the area of the rectangle is 18cm² . And the lengths of the sides are whole numbers. We need to tell the possible dimensions of the rectangle .

Let :-

[tex]\rm\implies Length = x [/tex]

[tex]\rm\implies Breadth = y [/tex]

We know that :-

[tex]\rm\implies Area = length \times breadth [/tex]

[tex]\rm\implies Area = x y \\\\\rm\implies xy = 18cm^2 [/tex]

Now look out for the possible factors of 18 . That is , ( 1 × 18 ) , ( 2 × 9) , ( 3 × 6 ) , ( 6 × 3 ) , ( 9 × 2 ) , (18 × 1 ) . That is total 9 possible values .

Answer:

wow thats very interesting

Step-by-step explanation:

whats ur question

Given:

The two functions are:

[tex]f(x)=\sqrt{32x}[/tex]

[tex]g(x)=\sqrt{2x}[/tex]

To find:

The [tex](f\cdot g)(x)[/tex]. Assume [tex]x\geq 0[/tex].

Solution:

We have,

[tex]f(x)=\sqrt{32x}[/tex]

[tex]g(x)=\sqrt{2x}[/tex]

Now,

[tex](f\cdot g)(x)=f(x)\cdot g(x)[/tex]

[tex](f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}[/tex]

[tex](f\cdot g)(x)=\sqrt{32x\times 2x}[/tex]

[tex](f\cdot g)(x)=\sqrt{64x^2}[/tex]

[tex](f\cdot g)(x)=8x[/tex]

Therefore, the correct option is A.

Answer:

94 cm^2

Hope it helps!

Answer:

[tex]i^{2} (2i^{2} -5)[/tex]

[tex]2i^{2} \times i^{2} -5i^{2}[/tex]

[tex]2(-1)(-1)-5(-1)[/tex]

[tex]2+5[/tex]

[tex]=7[/tex]  [tex]i^{2}(2i-5)[/tex]

------------------

[tex]i^{2} (3+i^{2} )[/tex]

[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]

[tex](-1)3+(-1)(-1)[/tex]

[tex]-3+1[/tex]

[tex]-2[/tex]  [tex]=i^{2} (3+i^{2} )[/tex]

---------------------

[tex]2i(2i-i^{3} )[/tex]

[tex]2i\times 2i-i^{3} \times2i[/tex]

[tex]4i^{2} -2i^{4}[/tex]

[tex]4(-1)-2(1)[/tex]

[tex]-4-2=[/tex]

[tex]-6=2i(2i-i^{3} )[/tex]

-------------------

[tex]i(4i^{3} -i)[/tex]

[tex]4i^{3} \times i-i\times i[/tex]

[tex]4i^{4} -i^{2}[/tex]

[tex]4(1)-(1)[/tex]

[tex]4+1=5[/tex]

--------------------

ANSWER:

[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]

[tex]5\Longrightarrow i(4i^{3} -i)[/tex]

[tex]7\Longrightarrow i^{2} (2i-5)[/tex]

[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]

----------------------------

Hope it helps...

Have a great day!!

Subtract the amount Kelsey got more than Jake from the total:

1250 - 200 = 1050

Divide by 2:

1050/2 = 525

Jake got 525

Kelsey got 525 + 200 = 725