Mathematics High School

Complete the sentence below.
If 8^x= 8^3, then x =

Answers

Answer 1

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

Related Questions

Solve: x²+5x-6 = 0
Answer please​

Answers

Given that:

x² + 5x - 6 = 0

Here we see that,

→ Product of coefficient of x² and constant term = 1 × 6 = 6

→Difference of the constant term and the coefficient of x² = 6 - 1 = 5

Now the given equation can be written as,

⇛x² + 6x - 1x - 6 = 0

(Here we simply applied the correc sign and splitted the middle term in two terms)

Now let's take the common terms

⇛x(x + 6) - 1(x + 6) = 0

On grouping we get,

⇛(x - 1)(x + 6) = 0

Here either (x - 1) = 0 or (x + 6) = 0 since the product is zero so anyóne of the terms should be zero.

⇛(x - 1) = 0 or (x + 6) = 0

⇛x - 1 = 0 or x + 6 = 0

⇛x = 1 or x = -6

Here we got two solutions of the equations. This means thet are in correct form.

Answer: The value of X is 1 or -6.

also read similar questions: Solve the following equations. X^2 + 5x + 6 = 0 (Factorise) X^2 + 7x + 11 = 0 (Use the quadratic formula)..

https://brainly.com/question/1296240?referrer

solve the equation x^2+5x+6=0

https://brainly.com/question/22261612?referrer

PLEASE HELP ME I NEED HELP

Answers

Answer:

  3052.1 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³ . . . . r is the radius

The radius is half the diameter, so is 9 in. Then the volume is ...

  V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³

State the slope and y-intercept for the graph of
- 8x + y = -12.

Answers

Answer:

y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.

To read the slope, you must have x and its coefficient on opposite sides of the equal sign.

So you get

y = 8x – 12 when you add 8x to both sides

Next, the y intercept is found when x = 0

y = 8x – 12

y = 8(0) – 12

y = – 12

The  y intercept is -12 or in point form (0, – 12)

Answer

slope = 8

y intercept = – 12

Step-by-step explanation:

HELP QUICK WILL GIVE BRAINLIEST

Answers

Answer:

y = mx + b is the slope intercept form of writing the equation of a straight line

Step-by-step explanation:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is.

i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actual stock car?

Answers

Answer:

19.25 ft

Step-by-step explanation:

for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25

Pls help me with this

Answers

Step-by-step explanation:

a)

clearly, A and B are mirrored images of each other around the x-axis.

and the equation of the x-axis is simply

y = 0

b)

this is trickier.

first of all, the mirror line is now vertical and not horizontal.

and where is it ? of course, in the middle between A and B.

how many units are there between A and B ?

I am counting 5. so, the middle between them is 2.5 units.

so, let's go e.g. from A 2.5 units to the right (in the direction of B).

where do we end up ? at x = 0.5

and that is also the equation of the vertical line there.

again

x = 0.5

25 points! :)

Pretty simple question, just not sure how to do it.

Answers

ANSWER

-3 -2, 0, .5, 1, 100 for domain

0, 1.8, 10, 19, 77, 100 For Range

Step-by-step explanation:

Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet

The vertices of quadrilateral PQRS are listed.

P(3,7), Q(6,-2), R(0,-4), S(-3,5)

Which of the following is the strongest classification that identifies quadrilateral PQRS?

A.
Quadrilateral PQRS is a rectangle.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a square.
D.
Quadrilateral PQRS is a parallelogram.

Answers

Answer:

Rectangle

Step-by-step explanation:

Did it on

Option A is correct.

As, Quadrilateral PQRS is a rectangle because it has four right angles.

What is a rectangle?

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

Explanation:

Given:

The coordinate of vertices of quadrilateral PQRS are P(3,7), Q(6,-2), R(0,-4), S(-3,5).

Slope for two points (x1,y1) and (x2,y2) is given by:

m = y1-y2/ x1 - x2

.so, we get,

The slope of PQ is = -9/3 = -3

The slope of QR is = -2/-6 = 1/3

The slope of RS is = -3

The slope of SP is = 1/3

we know that,

The slopes of perpendicular lines are opposite reciprocals.

we get,

∴ all pair of sides has slopes that are negative reciprocals;

this means the figure  has 4 right angle, so it is  a rectangle.

Therefore, Quadrilateral PQRS is a rectangle because it has four right angles.

To learn more on rectangle click:

brainly.com/question/29123947

#SPJ2

ankita and her three friends are going to share a three bedroom apartment if the total rent is Rp.r, what is ankitas share

Answers

Using proportions, it is found that Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.

This question is solved by proportions, using a rule of three.Considering that there are 4 people and the rent is of x Rp.r, 4 people pay x, how much does Ankita, which is one person, pay?

The rule of three is:

4 people - x

1 people - a

Applying cross multiplication:

[tex]4a = x[/tex]

[tex]a = \frac{x}{4}[/tex]

Ankita's share is of [tex]\frac{x}{4}[/tex], considering that the total rent is of x Rp.r.

You can learn more about proportions at https://brainly.com/question/24372153

If b = the number of boys, which algebraic expression represents the phrase
below?
the sum of the number of boys and 15 girls
A. b + 15
B. b. 15
C. b - 15
D.
b
15

Answers

Answer:

A. b + 15

Step-by-step explanation:

b = the number of boys, substitute below:

The sum of the number of boys and 15 girls → The sum of b and 15 → b + 15

Correct choice is A

Find the area of each figure

Answers

Answer:

flu

Step-by-step explanation:

ugh

Challenge Question: A(1, 5), B(5, 2), C(-1, 2) PLZ ANSWER ASAP
Translate 3 units left, 4 units down
Reflect over y - axis
Dilate with a scale factor of 1.5
Rotate 90 degrees C.C about the origin.

Answers

Answer: the

Step-by-step explanation: your so broke you cant even afford lunch

solve the equation 5x+x-7=4x-2-x

Answers

Answer:

[tex]x=\frac{5}{3}[/tex]

Step-by-step explanation:

Brainliest pls?

What is the velocity of a car that traveled total of 75 km north in 1.5 hours?

Answers

Answer:

hope this helped!

Step-by-step explanation:

75 km = 75000 m

1.5 hours = 5400 sec

Applying the formula

Velocity

=

75000 m

5400 s

=

13.89 m/s

Solve for x
−4x+60<72 OR 14x+11<−31

Answers

Answer:

14x+11<-31

14x<-42

x=-3

Hope This Helps!!!

2x- 5 >18 +x
necesito ayuda pliss
necesito con resolución

Answers

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

brainliest pls

x>23 because that’s just the answer

the original price of a jacket was $74.00 .A store manager marked the price down by
25 1/2% . By how much was the price reduced?

Answers

If you mean reduced by 25.5%, then it got reduced by 34.46

74 = 100%
1.35 = 1% --> 100% : 74 = 1.35
34.46 = 25.5%

the new price is 39.54

What is 7 x 1/4 ? Draw a model of your choice to help you solve in decimal form

Answers

Answer:

1 and 3/4

Step-by-step explanation:

7×1/4 (the / symbolizes ÷)

(7×1) ÷4

7/4 ( divide by 4)

=1 and 3/4

Solve the inequality-8≤3x-17<19

Answers

Answer: The answer is X∈[3,12).

Answer:

-8≤3x-17<19

-8+8 ≤ 3x - 17 + 8 < 19 + 8

0 ≤  3x - 9 < 27

0 ≤  3x - 9 + 9 < 27 + 9

0 ≤  3x <  36

0 ≤ 3x / 3 <  36/3

0 ≤ x < 12

So x can be 0 or less than 12. A number between 0 and 12

PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you

Answers

it’s the y=mx+b so it’ll be m= 1 over 5 basically m equals 1/5

Answer:

1/5 so the first option

Step-by-step explanation:

slope

(y2-y1)/(x2-x1)

Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?

Answers

Answer:

26

Step-by-step explanation:

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer:

-21z-35t+21g

Step-by-step explanation:

Use the distributive property of multiplication to distribute -7 to 3, 5, and -3. -7*3 is -21, so we are left with -21z. -7*5 is -35, so we are left with -35t. Finally, -7*-3 is 21, so we are left with +21g

Can someone please give me the (Answers) to this? ... please ...

Answers

a.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.

b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.

c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.

Please give Brainliest! This took a lot of time!

Answer:

To be congruent at b. no. UV= VK,V=V,UW=KM.

To be congruent at C no. M=S,LM=ST,LK=TU.

If the original quantity is 10 and the new quantity is 3​, what is the percent​ increase?

Answers

Answer:

30% Increase

Step-by-step explanation:

We Know 3 is 30% of 10 and 10+3=13 so we know that 13 is a 30% increase of 10.

Hopes This Helps :)

Evaluate
12: (2+2)
67
4
3
111
Help me and I will give u 20 points

Answers

Answer:

it is 27/16 or 1 11/16

Step-by-step explanation:

Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-

Answers

Answer:

154.5

Step-by-step explanation:

just inputed the equation in desmos.

Answer: 154.5

Step-by-step explanation:

4.2*103=432.6

2.7*103=278.1

432.6-278.1=154.5

HELP ASAPPPPPPP!!!!!

Answers

you will do 7x2x2x3 then after u find the answer you will write it in a fraction form like for example if you get 64 which is the answer and u will write 6 over 4 and that is the answer.

Please help me 87x89 PLEASE

Answers

The answer to 87x89 is 7,743.

Answer:

7743 :)

Step-by-step explanation:

rationalize the denominator 4√2/4√5 ​

Answers

Answer:

answer given in the phot

A number is les than or equal to -11

Answers

Answer:

-12 is the answer for this question

Step-by-step explanation:

make me as brainlist

Answer:

[tex]x\leq-11[/tex]

Step-by-step explanation:

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