Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]

Solve 14-4

[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]

if you were to multiply 5 and 7 by 2, you would get

[tex]\frac{10}{14}[/tex].

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

Answer:

180270

Step-by-step explanation:

Do Pemdas to find order of operations:

(264*675)+ 1239-56+887

So it is:

(178200)+2070

This equals: 180,270

Answer:

x= -10

y= -43

Step-by-step explanation:

since both of your equations equals y just plug it into each other and than make the equation: 5x+7=4x-3

and than you can just start with the variables OR numbers and then simplify

5x+7=4x-3

5x+10=4x

10= -x

x= -10

so -10 for x

plug it in to one of your 2 equations to get y

5(-10)+7= y

-50+7=y

y= -43

Answer:

1

Step-by-step explanation:

As you can see when you list out the factors of each number, 1 is the greatest number that 16, 17, and 20 divides into.

brainliet, please? hee hee

Answer:

1.8 Kilograms

Step-by-step explanation:

Since the farmer sells 6.3 Kilograms of fruit in total and 4.5 Kilograms of this weight is pears, you have to subtract 4.5 from 6.3.

6.3-4.5 = 1.8

So, there are 1.8 Kilograms of apples.

Answer: 15 second

Step-by-step explanation:

Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Joey starts running at v₁ = 10 m/sec  

Amy starts running at v₂ = 12 m/sec

we know that d = v [tex]*[/tex] t then t = d/v

Joey will take 400 / 10 = 40 seconds

Amy will take 400 / 12 = 33.33 seconds

To check  Joey  10 [tex]*[/tex] 40 = 400

And the Amy 12 [tex]*[/tex] 33.33 = 333.3

That means that time required for Amy to be at the start point is 400 seconds and for Joey to be at the start point is 333.3 seconds, in that time Joey finished the 10 turns, and Amy had ended the 12.

Therefore, 12 seconds elapse before Amy passes Joey on the track.

To learn more about arithmetic operations

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Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!

Answer:

a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]

[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]

b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Step-by-step explanation:

a) The centripetal force equation is:

[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]

[tex]\vec{F_{c}}=mR\omega^{2}[/tex]

Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:

[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]

[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]

The centripetal force is a vector in the radius direction.

b) The magnitude of that force will be:

[tex]|\vec{F_{c}}|=9.53 \: N [/tex]

Answer:

Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Step-by-step explanation:

Given that;

95% confidence interval for these parts is 56.98 to 57.05

[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )

Sample mean = 56.96

We know that;

If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.

But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.

Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).

Therefore, Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Answer:

The ratio of boys to girls is [tex]\frac{16}{20}[/tex]

The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Boys to girls:

There are 16 boys and 20 girls.

So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]

Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

Girls to total students

There are 20 girls and 20 + 16 = 36 total students.

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Answer:

B

Step-by-step explanation:

all you need to do for this is multiply the numerator by the 3.

3/4 times 3 = 9/4-  thats not more than 3

3/2 times 3 = 9/2 - thats more than 3  

1/12 times 3 = 3/12-  thats  not more than 3

9/10 times 3 = 27/10 thats  not more than 3

could you give me brainliest I need to complete this level

Answer:

300 + 80 + 3

PLease mArk me brainliest

Answer:

224 sit-ups

Step-by-step explanation:

multiply 56 by 4

sooo

5 2/3+64 1/3+87 = 157

that aint right- a triangles angles has to add up to 180

this triangle b trippin

Answer:

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

[tex]x+3>7[/tex]

To determine

What is the solution to the inequality?

Solving the given inequality

[tex]x+3>7[/tex]

Subtract 3 from both sides

[tex]x+3-3>7-3[/tex]

Simplify

[tex]x>4[/tex]

Thus,

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Answer:

f^(-1) = x/4

Step-by-step explanation:

1.  Starting with f(x) = 4x, replace 'f(x)' with y:  y = 4x

2.  Interchange x and y:  x = 4y

3.  Solve for y:  y = x/4

4.  Replace this y with 'f^(-1) = ":    f^(-1) = x/4

Answer:

3 6 12 24 48 96 192

Step-by-step explanation:

The answer is 48 96 192

Answer:it equals 96 hope this helps

Step-by-step explanation:

Step-by-step explanation:

13.6z - 11 = -1.48.

13.6z=-1.48+11

z=9.52/13.6=0.7

Answer:

20x = -58 - 2y( Ans~ x= -29/11)

17x = -49 - 2y (Ans~ x = -49/19)

Step-by-step explanation:

(1) 20x = -58 2x

   20x + 2x = -58

   22x = -58

   x = -29/11

(2) 17x = -49 - 2x

   17x + 2x = -49

   19x = -49

   x = -49/19

U WELCOME!!

Answer:

y=1

x=-3

Step-by-step explanation:

20x=-58-2y

20x/20=(-58-2y)/20

x=(-58-2y)/20

17x=-49-2y

17x/17=(-49-2y)/17

x=(-49-2y)/17

(-58-2y)/20=(-49-2y)/17

17(-58-2y)=20(-49-2y)

-986-34y=-980-40y

add 40y to both sides

6y-986=-980

add 986 to both sides

6y=6

divide both sides by 6

y=1

substitute

20x=-58-2(1)

20x=-60

x=-3

Proof: (substituting x & y values in original equations)

20(-3)=-58-2(1)

-60=-60

17(-3)=-49-2(1)

-51=-51

Answer: 4

Step-by-step explanation:

Answer:

that is right what u have right there

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

Answer:

29110.87

Step-by-step explanation:

mt might is 20,401.5 ft high, and tall mountain is 8709.37 ft higher than mt might, so add their those numbers together

they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer