Number 5 reason +++++++

Given:

The logarithmic equation is:

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

To find:

The value of x.

Solution:

Properties of logarithm used:

[tex]\log a+\log b=\log (ab)[/tex]

[tex]\log 10=1[/tex]

[tex]\log x[/tex] is defined for [tex]x>0[/tex].

We have,

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

Using properties of logarithm, we get

[tex]\log [x(x-3)]=\log 10[/tex]

[tex]x^2-3x=10[/tex]

Splitting the middle term, we get

[tex]x^2-5x+2x-10=0[/tex]

[tex]x(x-5)+2(x-5)=0[/tex]

[tex](x-5)(x+2)=0[/tex]

[tex]x=5,-2[/tex]

In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:

[tex]x=5[/tex]

Therefore, the value of x is 5.

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]y = 0.554x - 0.507[/tex]

The question is incomplete; however, a possible question could be to interpret the given equation.

The equation is given in slope intercept form i.e. [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

So, by comparing:

[tex]y = mx + b[/tex] to [tex]y = 0.554x - 0.507[/tex]

[tex]m = 0.554[/tex]

[tex]b = -0.507[/tex]

Hence, the slope of the regression is 0.554 and the y intercept of -0.507

Answer:

Not enough information

Step-by-step explanation:

So, we first know that the bike costs 250 dollars. We also know that he babysat for 15 hours, and mowed the lawn 5 times. However, we do not know how much money he has, or how much he made. Sure, doing extra chores could of made him money, but in this question it doesn't say how much money he made. Therefore, we cannot answer this question because, although we have the value of the bike's cost, we do not know how much Razi has. Hope this helps you!

Answer:

1843:6754.9709254546.,657675

Step-by-step explanation:

The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°

The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.

Law of Sines :

a / sin A = b / sin B = c / sin C

Given data ,

Let the triangle be represented as ΔRST

Now , the measure of s = 620 cm

The measure of side r = 210 cm

And , the measure of angle m∠R = 17°

From the law of sines , we get

a / sin A = b / sin B

On simplifying , we get

sin ( 17 )° / 210 = sin ( S ) / 620

Multiply by 620 on both sides , we get

sin ( S ) = ( 620 / 210 ) x 0.2923717

On further simplification , we get

sin S = 0.86319265203

Taking inverse on both sides , we get

S = sin⁻¹ ( 0.86319265203 )

S = 59.68°

S = 59.7°

Therefore , the value of S is 59.7°

Hence , the measure of angle m∠S = 59.7°

To learn more about law of sines click :

https://brainly.com/question/13098194

#SPJ3

0.083 In decimal 8.3% in percentage

Answer:

x=30

Step-by-step explanation:

x/5-16=-10

x/5=-10+16

x/5=6

x=6×5

x=30

The Percentage increase in the purchase price each year is 4.5%.

The given function is:

[tex]V(t)=P(1.045)^t[/tex]

Where P is the purchase price of the baseball card and t is the time.

A function is a rule that establishes a relation between two variables.

[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]

[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]

Percentage increase in the purchase price each year

=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]

[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]

[tex]=4.5%[/tex]%

Hence, the Percentage increase in the purchase price each year is 4.5%.

To get more about functions visit:

https://brainly.com/question/2833285

Answer:

[tex]x = \frac{5a-2} {7+5a}\\[/tex]

Step-by-step explanation:

Given the expressions

[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]

Substitute 2 into 1

[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]

Answer:

You have a 0.8% chance of winning, and a 99.2% chance of losing

Answer:

4

Step-by-step explanation:

if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4

Answer:

Angle AGC

Step-by-step explanation:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

Answer:

3100

Step-by-step explanation:

V=πr2h

 = 3.14 x [tex]10^{2}[/tex]x10

 = 3100

Answer:

The airplane starts its descent from an altitude 500 feet higher.

Step-by-step explanation:

Given that:

F(x) = - 200x+20,000

g(x) = -200x+20,500

The functions are written in slope intercept format :

With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :

The slope is -200 ; which means that the descent rate of the airplane is 200

The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.

Answer:

associative property

Step-by-step explanation:

happy to help :)

Answer:

Associative Property

Step-by-step explanation:

The property says you can regroup the three numbers being added.

(a + b) + c = a + (b + c)

Either add a and b first, then add c, ...

or, add b and c first, then add that result to a.

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

D

Step-by-step explanation:

Answer:

C. 40 square meters

Step-by-step explanation:

The area for a kite can be figure out with this formula. pq/2. Substitute p for 8 & q for 10.

A = pq/2 {Substitutions made}

A = (8 * 10)/2 {Multiply 8 by 10 to get 80.}

A = 80/2 {Divide 80 by 2 to get 40.}

A = 40 square meters

The area of this kite of 40 square meters, which is C.

Answer:

Step-by-step explanation:

you would do 60 divided by 5 which would get you 12

then you multiply 12 by 3 which would be 36

lastly you would multiply 36 by 7 which would get you

252

Answer:

so first you take 7 and you multiply by 60 bc that way you will have the minutes 60x7=420 then you divide 420 by 5 and get 84 then 84x3=252

Step-by-step explanation:

Answer:

y = 7x + 41

Step-by-step explanation:

the y-intercept appears to be about 40 and the only option with this intercept is the first one

Answer:

$.27

Step-by-step explanation:

.105/7*18

Answer:

Step-by-step explanation:

3 a) 6

3 b) 12

3 c) 12

4 a) 4/5

4 b) 10/9

4 c) 17/15

Answer:.......................

Step-by-step explanation: where is the juice...?