Rewrite the following logarithmic expression as an exponential expression

Answer:

Step-by-step explanation:

49 - 3m = 4m + 4

=> 49 - 4 = 4m + 3m

=> 45 = 7m

[tex] = > \frac{45}{7} = m[/tex]

=> 6.428571... = m

=> m = 6.43 (approx. ) (Ans)

Answer:

m = - 6 . 43

Step-by-step explanation:

49 - 3m = 4m + 4

= 49 - 4 = 4m + 3m

=45 = 7m

= 6.428571... = m

= m = 6.43  

Answer:

1.5 hours

Step-by-step explanation:

Given :

My hose = 3 hours ; my rate = 1/3

Let My friend's time = x ; his rate = 1/x

Combined time = 1 hour, combined rate = 1/1 = 1

Combined rate :

1/3 + 1/x = 1

1/x = 1 - 1/3

1/x = (3 - 1)/ 3

1/x = 2/3

Cross multiply :

3 = 2x

x = 3/2

x = 1.5 hours

Answer:

Step-by-step explanation:

2/14 * 1/23 = 1/91

Answer: step 4 is incorrect

Step-by-step explanation:

Answer:

step 4 is incorrect.

there must be;

cos(π/2-x)cos(y)-sin(π/2-x)siny

Answer:

D

Hope this help

Step-by-step explanation:

Answer:

1st

Step-by-step explanation:

You need to add the numbers and then dicuvde by how many numbers are there.

Answer:

16

Step-by-step explanation:

"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.

16 + 14 + 14 + 21 + 15 = 80

80 ÷ 5 = 16

Answer:

Step-by-step explanation:

let it's breadth be x

area of rectabgle=l*b

259=18.5*b

259/18.5=b

14=b

perimeter of rectangle=2(l+b)

=2(18.5+14)

=2*32.5

=65 cm

Answer:

Breadth = 14 cm

Perimeter = 65 cm

Step-by-step explanation:

        Area = [tex]259cm^{2}[/tex] = l * b

       Therefore, breadth = area / length

        Breath = 259 / 185 = 1.4 * 10 = 14 cm

        Perimeter = 2 (18.5 + 14)

        Perimeter = 2 (32.5)

        Therefore, perimeter = 65 cm

I hope this helps :)

Answer: x2 - 6

Step-by-step explanation: Your welcome :)))

Answer:

the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

Step-by-step explanation:

The values are missing in the given information in the question.

To able to solve this question, we will make some assumptions.

Let's assume that:

The airplane heading into the wind travels 1800 miles in 3 hours.

While returning via the same distance, it travels 2 hours 30 minutes.

We are to determine the plane's airspeed as well as the wind speed.

First, let us say that the speed of the plane is p and the wind speed is q

during the time the plane is traveling for 1800 miles in 3 hrs.

Then, we can say

3p -3q = 1800 ----- (1)

However, in  2hours 30 minutes, we have 2.5 hours

So, when the plane is returning, we have the following equation:

2.5p + 2.5q = 1800 ---- (2)

So, to find p and q, we can use the elimination method.

Simply by multiplying equation (1) with 5 and equation (2) with 6

 (5)3p    -  (5)3q     = (5) 1800

 (6)2.5p  + (6)2.5q = (6) 1800            

  15p -  15q  = 9000

+

 15p + 15q   = 10800      

 30p -  0     = 19800      

30p = 19800

p = 19800/30

p = 660

Since p = 660, then from equation (1) we can obtain the value of q:

So; Using equation (1):

3p -3q = 1800

3(660) - 3q = 1800

1980 - 3q = 1800

-3q = 1800 - 1980

-3q = -180

q = 180/3

q = 60

Therefore, the airspeed of the plane = 660 miles/hr

the speed of the wind = 60 miles/hr

I'll help.

[tex] \frac{1}{3}x = 9 \frac{1}{2} [/tex]

[tex]x = ?[/tex]

↓

[tex] \frac{1}{3} x = \frac{19}{2} [/tex]

[tex]x = \frac{57}{2} [/tex]

"How it can be 57 ?"

The number 19 is multiplied by the number 3 at the bottom left.

19 × 3 = 57.

Answer: yeah the other person is right

Step-by-step explanation:

Answer:

I believe it is cube A

Step-by-step explanation:

the volume of Cube B equaled 2073.6 in for me. so it would be less than cube A

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

-3/8 / -1/4

Negative divided by negative is positive.

To divide by a fraction, change the division to a multiplication and flip the fraction.

-3/8 / -1/4 =

= 3/8 * 4/1

= 12/8

= 3/2

Answer:

Uhhh get it i guess

Step-by-step explanation:

Answer: Well 7 days = 1 week, also 26 months = 2.16667 year or 790.834 days. I DON'T GET IT

Step-by-step explanation:

Most likely, you won't need to type in the percent symbol since that seems to be already done for you.

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

Explanation:

The outcome "2" shows up 3 times, as shown in the first column. Let A = 3.

Add up all the values in the bottom row: 3+6+8+11+14+16+15+12+9+5+1 = 100. Let B = 100. This is the total number of dice rolls.

Dividing the two values gets us A/B = 3/100 = 0.03 = 3%

The value "2" shows up 3% of the time, which is the experimental probability of getting a "2".

Answer:

m<P = 50°

Step-by-step explanation:

Given:

Arc CE = 82°

Arc DF = 98°

Ratio of arc CD to Arc EF = 2:7

Thus, let,

Arc CD = 2x

Arc EF = 7x

A full circle = 360°

Therefore,

Arc CE + Arc DF + Arc CD + Arc EF = 360°

Substitute

82° + 98° + 2x + 7x = 360°

Add like terms

180° + 9x = 360°

Subtract 180° from both sides

180° + 9x - 180° = 360° - 180°

9x = 180°

Divide both sides by 9

9x/9 = 180/9

x = 20

✔️Arc CD = 2x

Plug in the value of x

Arc CD = 2(20) = 40°

Arc EF = 7x = 7(20) = 140°

✔️Find m<P:

Recall: the measure of the external angle created when two secants intersect = half the difference of the major and minor arcs that are intercepted

Thus:

m<P = ½(arc EF - arc CD)

Substitute

m<P = ½(140° - 40°)

m<P = ½(100°)

m<P = 50°

Answer:

first

Step-by-step explanation:

A= r*pi*r = pi*r²

Answer:

A.

Step-by-step explanation:

The rearranged segments form a rectangle with length (pi)r and width r.

A = LW

A = (pi)r * r

A = (pi)r^2

Answer: A.

Answer:

8 units

Step-by-step explanation:

AB = √(4×(4+12))

= √(4×16)

= 2×4

= 8 units

Answer:

5

Step-by-step explanation:

1

The rational root of the function  f(x) = x³ - 3x² + 2 is - 1.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.

Now, The roots of the function is when f(a) = 0.

The last term is, 2, Hence the roots must be,

± 1, ± 2, The factors of 2.

f(-1) = - 2.

f(1) = 0.

f(-2) = - 18.

f(2) = - 2.

So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]

[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]

[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]

[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]

[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]

[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]

[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]

[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]

[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]

Answer:

Angle B 66

Step-by-step explanation:

Complementary angles means their sum is 90

if angle 2 is 24, angle 3 is 90-24

Answer:

Continue to provide equality for all!

Step-by-step explanation:

When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.

Hope this helps:)

Answer:

Step-by-step explanation:

sin S=21/75

sin R=72/75

cos S=72/75

cos R=21/75

Answer:

sin R = 72/75

cos R = 21/75

sin S = 21/75

cos S = 72/75

Step-by-step explanation:

sin = opposite side / hypotenuse

sin = adjacent side / hypotenuse

Answer:

Last answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle y =128 degree reason-angles x and y are supplementary angles

There's 3 terms

3a-----1

+b -----2

-4c------3

Answer

-1.31 if its getting rounded to nearest number.

The fraction will be -21/16

Answer: 2

Step-by-step explanation:

2

Answer:

A

Step-by-step explanation:

The graft go's by twos