Solve this problem
need fast
[tex] {6}^{x + 3} = \sqrt{6} [/tex]

Answers

Answer 1

Answer:

x=-5/2

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]6^{x+3} = \sqrt{6}[/tex]

We want to find the value of x

This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation

On the left side, we have 6 (the base) raised to the power of x+3

On the right, we have √6

Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]

Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]

Rewriting the equation then:

[tex]6^{x+3}=6^\frac{1}{2}[/tex]

Both sides have the same base (6)

Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.

This means:

x + 3 = 1/2

Subtract 3 from both sides

x+3=1/2

  -3   -3
___________

x = -5/2

Hope this helps!


Related Questions

alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job

Answers

Answer:

$58,930

Step-by-step explanation:

y=mx+b

starting value (b) = $50,180

rate of increase (m) = 1750

number of years (x) = 5

y= (1750)(5) + 50180

y= 8750 + 50180

y= 58930

What is 7/8 - 1/4 in simplest form?

Answers

Answer: 5/8

Step-by-step explanation:

You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.

Answer:

7/8 - 1/4 = 5/8

Step-by-step explanation:

The equation is 7/8 - 1/4 = ?

So you need to have a common denominator for both fractions in order to subtract the two.

In order to make 7/8 and 1/4 have a common denominator, multiply 1/4 by 2. Then it becomes 2/8.

Now you can subtract the two fractions because they both have a common denominator.

7/8 - 2/8 = 5/8

Can y’all help me with thjs

Answers

I'll write in the format (x;y) where x is the salad dressings amount, and y is the amount of servings.

We can see the line goes through the points (1;2) , (2;4) , (3;6) ...

So, the amount of servings are doubled the amount of salad dressings she need to use. (1 cup every 2 servings, 2 cups every 4 servings, etc.)

-> Leslle used half a cup of salad dressing for every serving of salad (B)

Answer:

B.

Step-by-step explanation:

Remember the first value is called the x-coordinate and the second value is the y-coordinate.

Find the first point the line crosses over.

So let's take the point (2,1).

As you can see that for every 2 servings Leslie uses 1 salad dressing cup,

2 to 1

Now look at the answers,

So you can are ready mark off A since it is not true,

You can mark off C since the line does not cross over points (1,4),

You can mark off D since the line does not cross over points (1,2),

That leaves you with B,

To check if it is true you need to find how much salad dressing cups are in one serving,

To do that you need to divide by 2 on both sides,

2÷2=1

1÷2=[tex]\frac{1}{2}[/tex]

your new rate is 1 to [tex]\frac{1}{2}[/tex]

So B is your answer.

divide and simplify. − 8/ 15 ÷ − 3/ 5

Answers

-8 / 15 = -0.53333
-3 / 5 = -0.6
-0.53333 / -0.6 = 0.88888333

Roxanne ran 10.73 miles on Monday and 3.01 miles on Tuesday. How many more miles did Roxanne run on Monday than Tuesday?

Answers

Answer:

7.72 miles

Step-by-step explanation:

Subtract 10.73 and 3.01 to find your answer

Answer:

Step-by-step explanation:

m

What is the area of this figure?
22 mi
8 mi
10 mi
5 mi
9 mi
11 mi
4 mi
6 mi

Answers

Answer:

318 mi²

Explanation:

area of triangle =  1/2 * base * height =  1/2 * 22 * (10+6+3) = 209 mi²

area of right bottom rectangle = Length * Width = 11 * 5 = 55 mi²

bottom upright rectangle = Length * Width = 9 * 6 = 54 mi²

total area = 209 mi² + 55 mi² + 54 mi² = 318 mi²

Area of Vertical rectangle:-

9(6)54mi²

Area of horizontal rectangle

11(5)55mi²

Area of triangle

1/2(22)(10+6+3)11(19)209mi²

Total:-

209+55+54318mi²

The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)

Please help

Answers

Answer:

0.65

.6 x .5 + .7 x .5 = 0.65

Step-by-step explanation:

How many lines of symmetry does the letter J have image is the J I'm talking about

Answers

Answer:

0

Step-by-step explanation:

there are no lines os symmetry in this letter there are no straight lines that don't intersect

Answer:

0

Step-by-step explanation:

If you split it in half it is not a mirror image of itself..

The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40. The mean hours students reported practicing their instruments is . The mean absolute deviation for the data is .

Answers

Answer:

The hours students reported practicing their instruments last grading quarter were 29,  20,  36,  44,  30,  32,  and 40.

The mean hours students reported practicing their instruments is

✔ 33

.

The mean absolute deviation for the data is

✔ 6

.

Step-by-step explanation: answers.

What is 2/5÷2?

A.) 1/5

B.) 2/5

C.) 4/5

D.) 5

Answers

Answer:

A. 1/5

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{5}[/tex] times [tex]\frac{1}{2}[/tex]

= [tex]\frac{2}{10}[/tex]

= [tex]\frac{1}{5}[/tex]

hope this helps!

Answer: A.) 1/5

Step-by-step explanation:

When dividing a fraction with a whole number we have to turn that whole number into a fraction as well

[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex]

So now we use the dividing fraction formula: [tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}[/tex] = [tex]\frac{a*d}{b*c}[/tex]

So we put the numbers in their places: [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{2}{1}[/tex] = [tex]\frac{2*1}{5*2}[/tex] = [tex]\frac{2}{10}[/tex]

However   [tex]\frac{2}{10}[/tex] simplified is [tex]\frac{1}{5}[/tex]

what is the approximate diameter of a sphere with a volume of 268cm^3

A. 12cm
B. 8cm
C. 16cm
D. 4cm

Answers

Answer:

B it is the right answer

Step-by-step explanation:

Wes wants to buy a new truck. There are 3 models to choose from, each has 4 choices of engine, 3 choices of transmission, 8 color choices, 3 interior color choices, and 5 different options packages to choose from. How many different trucks can be built with all of these choices? (Wes can only pick one option package.)

Answers

Answer:

1440 different trucks

Step-by-step explanation:

Multiply all of the choices for each part:

3 possible bodies * 4 possible engines * 3 possible transmission types * 8 possible colors * 5 possible options packages

And, you get:

3 * 4 * 3 * 8 * 5

= 1440 different trucks

Answer:

4320 trucks

Step-by-step explanation:

Rewrite each expression as a difference. a+5 a+b

Answers

Answer:

a - 5 and a - b is the required experssion

Answer:

a-(-5);

a+5

a-(-b);

a+b


Three times a number increased by 9
is equal to twice the number decreased
by 4. Find the number

Answers

Hello There!!

Let the number be "x"

According To Question

[tex]3x + 9 = 2x - 4[/tex]

Solving It

[tex]3x + 9= 2x - 4 \\ \\ \implies 3x - 2x = - 4 - 9 \\ \\ \implies x = - 13[/tex]

[tex] \therefore \text{the required number is = - 13}[/tex]

Hope this helps

Answer:

- 35

Step-by-step explanation:

let the number be n then increased by 9 is n + 9 and decreased by 4 is n - 4 , so

3(n + 9) = 2(n - 4) ← distribute parenthesis on both sides

3n + 27 = 2n - 8 ( subtract 2n from both sides )

n + 27 = - 8 ( subtract 27 from both sides )

n = - 35

that is the number is - 35

Find the area of a circle with a radius of 21 inches. Use 22/7
for pi.

Answers

Answer:

Area of circle=πr^2

Step-by-step explanation:

Area of circle=πr^2

=22/7*21^2

=22/7*441

=9702/7

=1386 sq.inch

Solve for the missing angle labeled "?".
9) M I
115°
S
U
P
47°
R
Q
A) 47°
B)65°
C) 68°
D)133°

Answers

Answer:

D) 133 degrees.

Step-by-step explanation:

attached as image.


A bag contains 5 red marbles, 3 blue marbles, 7 yellow marbles, and 2 green marbles. Which ratio can be used to compare the red marbles to the blue marbles?

A) 3/5

B) 3/8

C) 5/3

D) 5/8

Answers

Total red = 5

Total blue = 3


Ratio of red to blue = 5/3


answer: c. 5/3

Ill give brainliest please help .

Answers

Answer:

443.14

Step-by-step explanation:

A=6ah+33a2

=6·4·15+3·3·42

≈443.13844

Answer:

I believe the answer is 88 if correct please consider brainliest

<3

Step-by-step explanation:

1/2 - 1/12 whats the answer

Answers

Answer:

To subtract or add fractions, we need to find a common denominator.

1/2 can turn into 6/12

so now we have

6/12 - 1/12 =

5/12

Since we cant simplify it, it stays as 5/12

Answer:

[tex]I~am~beinggreat78~and~i'll~help~you![/tex]

The answer is [tex]\frac{5}{12}[/tex], because of the math shown in this image.

In shortest words, the solution to this problem is [tex]\frac{5}{12}[/tex] because 1/2 - 1/12 is [tex]\frac{5}{12}[/tex], which is the simplified, yet unsimplified form. If the picture is blurry, please click the button in the center of the image to zoom in.

The circumference of a circle is 94.2 kilometers. What is the circle's diameter?

Answers

Answer:

The diameter would be 29.98 kilometers.

Step-by-step explanation:

We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.

Answer:

30 km

Step-by-step explanation:

We can use the below formula to find the diameter of a circle.

C = π × d

Here,

C ⇒ circumference ⇒ 94.2 km

d ⇒ diameter

To find the diameter make d as the subject in the above formula.

d = C / π

d = 94.2 / 3.14

d = 30 km

The Hernandez family built a backyard patio .

Area = 150 square feet
What could be the dimensions of the
patio?
A 100 feet long by 50 feet wide
B
50 feet long by 25 feet wide
15 feet long by 10 feet wide
D
10 feet long by 5 feet wide

Answers

15 feet long by 10 feet wide since area= l x w and 15x10 is 150

Indicate, in standard form, the equation of the line passing through the given points.
E-2, 2), 25, 1)
Enter your answer in the blank equation box.

Answers

Answer:

x + 27y - 52 = 0.

Step-by-step explanation:

The slope of the line = (y2-y1)/(x2-x1)

= (1-2)/(25- (-2))

= -1/27

Using the point slope form of a straight line:

y - 2 = -1/27(x- (-2))

y - 2 = -1/27x - 2/27

y = -1/27x  - 2/27 + 54/27

y = -1/27x + 52/27

Multiply through by 27:

27y = -x + 52

x + 27y - 52 = 0   <------- Standard form.

The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment

Answers

Answer:

Empirical probability

Step-by-step explanation:

Empirical probability is data collected from experiment and real-life situation.

The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.

[tex]\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}[/tex]

Therefore, the correct answer is empirical probability.

I hope this helps you! Let me know if my answer is wrong or not.

Prove algebraically that the difference between the squares of any two consecutive
odd numbers is always a multiple of 8

Answers

Answer:

See below ↓

Step-by-step explanation:

Let the odd integers be :

2x + 12x + 3

Solving

(2x + 3)² - (2x + 1)²4x² + 12x + 9 - 4x² - 4x - 18x + 8 = 8(x + 1)On substituting any value for 'x', the value will be a multiple of x.

Examples

8(1) + 8 = 16 = 8 x 28(2) + 8 = 24 = 8 x 38(3) + 8 = 32 = 8 x 4

Answer:

Let one odd number be (2n + 1)

Therefore, its consecutive odd number is (2n + 3)

Difference between the two squares of these numbers:

[tex]\begin{aligned}\sf (2n+3)^2-(2n+1)^2 & = \sf (4n^2+12n+9)-(4n^2+4n+1)\\ & = \sf4n^2+12n+9-4n^2-4n-1\\ & = \sf 8n+8\\ & = \sf8(n+1)\end{aligned}[/tex]

Thus proving that the difference between the squares of any two consecutive odd numbers is always a multiple of 8.

You are shopping at a dvd store and have $49.50 to spend each dvd cost $4.25 estimate how many dvds you buy.

Answers

Answer:

You can get 11 dvds

Find the value of x.*

20
48
36
60

Answers

Answer:

B. 48

Step-by-step explanation:

Use the ratio of corresponding sides of similar triangles

x/64 = (100 - 64)/xx/64 = 36/xx² = 64*36x² = 8²*6²x = 8*6x = 48

Correct choice is B

Rest Hypotenuse part of triangle=100-64=36

Now

x²=64(36)x²=8(8)(6)(6)x²=8²6²x=8(6)x=48

If log, 2 = 0.69, then log, 32 =

Answers

Answer:

Step-by-step explanation:

log 2 = 0.69

Prime factorise 32.

32 = 2 * 2 * 2 * 2 *2 = 2⁵

[tex]\boxed{log \ a^{m}=m * log \ a}[/tex]

[tex]log \ 32 = log \ 2^{5}[/tex]

       [tex]= 5*log \ 2\\\\= 5*0.69\\\\= 3.45[/tex]

       

Evaluate 49x - 2 when x = 1

Answers

Answer:

47

Step-by-step explanation:

49x - 2

==> plug in x = 1

49(1) - 2

==> multiply 49 and 1

49 - 2

==> subtract 2 from 49

= 47

Answer:

47

Step-by-step explanation:

49x means 49×x

So substituting 1 into the equation gives us :

(49×1)-2

49-2

47

Therefore our answer is 47.

The height of the prism is ….

Answers

Answer:

[tex]\fbox{height \: of \: prism = 19 \: mm}[/tex]

Step-by-step explanation:

Given:

Shape of object is pentagonal prism

Side of pentagon= 12mm

Apothem of pentagon= 5 mm

Volume of pentagonal prism= 2,850 cubic mm.

To find:

Hieght of pentagon prism= ?

Solution:

To find height of prism it's necessary to calculate the surface area of base,

[tex]Area \: of \: regular\: pentagon = \frac{5}{2} \times side \: of \: pentagon \: \times apothem \\ Area \: of \: regular\: pentagon = \frac{5}{2} \times 12 \times 5 \\ Area \: of \: regular\: pentagon= \frac{5}{ \not2} \times \not12^{6} \times 5 \\ Area \: of \: regular\: pentagon= 5 \times 6 \times 5 \\ Area \: of \: regular\: pentagon= 150 \: {mm}^{2} [/tex]

[tex]Volume \: of \: prism = surface \: area \: of \: base \: \times height (h) \\ 2850 = 150 \times h \\ h = \frac{2850}{150} \cdot \frac{ {mm}^{3} }{ {mm}^{2} } \\ h = \frac{\not{ {2850}^{19} }} {\not150} \cdot \frac{ {mm}^{\not {3}^{1} } }{ {mm}^{\not2} } \\ \fbox{h = 19 \: mm}[/tex]

Thanks for joining brainly community!

The required height of the pentagonal prism is 19 cm                              

Given that,
A figure of a pentagon prism is shown with
The volume of the prism = 2850 cubic cm
Side of pentagon base = 12 mm.
And the perpendicular distance from the center to the side = 5 mm.

What is volume?

Volume is defined as the ratio of the mass of an object to its density.
Or in mathematics volume can be calculated as the area of the base multiplied by the height.


In order to get the height of the prism first, we have to calculate the area of the base and then divide the volume by its base area to get its height.

The base area = 5/2 * side * perpendicular height to side from center.
                         = 5 / 2 * 12 * 5
                         = 150
The volume of the prism = base area * height
                              2850 = 150 * height
                             height = 2850/15
                                         =  19 cm

Thus, the required height of the pentagonal prism is 19 cm                              

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ5

Y=x+8
find the slope and the y-intercept of the line.

Answers

Y=Mx+b is slope intercept form so mx is the slope which is 1 (even though you don’t see the 1) and the b is the y intercept so that is 8 (0,8)
Answer:

Slope: 1

y-intercept: 8

Solution:The given equation is written in slope-intercept form, which looks like so:y=mx+bIn the above formula, m stands for the slope, and b stands for the y-intercept.Notice that the slope is the coefficient of x (the number next to x) and b is the y-intercept.Therefore, the slope is equivalent to 1, and the y-intercept is equivalent to 8.

Hope it helps.

Do comment if you have any query.

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