Given that 110ₓ = 40₅ , find the value of x.

Answers

Answer 1

110x=405

1*x^2 +1*x^1 +0*x^0=4*5^1+0*5^0

x^2+x=4*5

x^2+x=20

x^2+x-20=0

x^2 +5x-4x-20=0

x(x+5)-4(x+5)=20

(x-4)(x+5)=20

x= 4 or -5

But a base cannot be negative so

x=4


Related Questions

Which expression is equivalent to 30x−10?

Answers

Answer:

10 (3 x - 1)

Step-by-step explanation:

Is the sum of two monomials always a monomial? Is their product alwahs a monomial?

Answers

Answer to the first question: no, the sum is not always a monomial

Consider adding 2x and 5y. Both of which are monomials. Their sum is 2x+5y. We don't have like terms, so we can't combine them. The sum is a binomial as it has 2 terms.

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

Answer to the second question: yes, their product is alway a monomial

Going back to 2x and 5y. Multiply those two monomials and we get 10xy as a product. This is a monomial as it is one term. If p and q are monomials, then so is pq.

Find the coordinates of the image of (1, 4) under

(a) a clockwise rotation of 90° about (0,0).

(b) a reflection in the line y=x,

(c) a translation which maps (5,3) onto (1,1).


plz help!
will give the brainliest!
Urgent!!​

Answers

Answer:

a) (4,-1)

b) (4,1)

c). (6,4)

The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 miles per hour because of traffic. If the college is 60 miles from home, what is the average speed for the entire round trip? What is the average speed if the college is 40 miles from home?

Answers

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

There are 3 triangles 6 squares what is the simplest ration of the triangles to total shape

Answers

Answer:

it either can be 3:6 or 6:3 but I think its 3:6

Answer:

1 : 3.

Step-by-step explanation:

The total number of shapes is 3 + 6 = 9.

So triangles : total shapes = 13 : 9

= 1 : 3.

PLEASEEEEE
Find the value of z. A. 188 B. 86 C. 94 D. 172

Answers

Answer:

B. 86

Step-by-step explanation:

Arc degrees corresponds with their angle degree.

Step 1: Find m∠Z using Definition of Supplementary Angles

m∠Z = 180° - 94°

m∠Z = 86°

Step 2: Find measure of arc degree z

m∠Z = 86°

Arc degree = angle degree

Arc Z = 86°

The answer is "Option B" its calculation can be defined as follows:

An arc of a circle would be any section of the circle's circumference.

Remember that the area of a circle equals the distance from around the circle.

Finding the measure of arc degree z

As a result, you can say that the circumference of a circle is indeed the circle's complete arc.

Angle degrees and arc degrees are connected.

Find [tex]m\angle Z[/tex] by applying the Definition of Supplementary Angles:

         [tex]m\angle Z = 180^{\circ} - 94^{\circ}\\\\m \angle Z = 86^{\circ}\\\\[/tex]

           [tex]m\angle Z = 86^{\circ}\\\\[/tex]

            [tex]\therefore\\\\[/tex]

       Arc degree = angle degree

         [tex]Arc\ Z = 86^{\circ}[/tex]

Therefore, the "Option B" is the correct answer.

Learn more:

brainly.in/question/37245796

. Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 - 5x - 24 = 0

Answers

Answer:

[tex](x+3)(x-8)=0[/tex]

Step-by-step explanation:

First, write out the equation as it is given in the problem:

[tex]x^{2}-5x-24=0[/tex]

Now, you have to split up the "-5x" to get to factored form.  The way to do this is to look for the factors of "a" times "c" that sum to "b":

So, in this problem, a=1, b=-5, and c=-24.  So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.

Let's write out a list of factors.

[tex]1,-24---1+-24=-23no\\-1,24---1+24=23no\\2,-12---2+-12=-10no\\-2,12----2+12=10no\\3,-8---3+-8=-5yes[/tex]

Therefore, our two factors will be 3x and -8x.

Now, let's rewrite our equation with these new factors in place of the -5x:

[tex]x^{2}-5x-24=0\\x^{2}+3x-8x-24=0[/tex]

Next, find your factored expressions:

[tex]x^{2}+3x-8x-24=0\\(x^{2}+3x)(-8x-24)=0\\[/tex]

Take the GCF from each set of parenthesis:

[tex]x(x+3)-8(x+3)=0[/tex]

The GCFs that you took out will become your second in the set for factorde form.  It will be written as "x-8".

Therefore, your equation in factored form will be:

[tex](x+3)(x-8)=0[/tex]

Find the quotient of (9a²b+6ab?): 3ab​

Answers

Answer:

3a + 2

Step-by-step explanation:

(3a + b)·(3ab) = (9a²b+6ab)

not sure why there is a question mark in the expression?

Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.

Answers

Answer:

C

Step-by-step explanation:

trust me

One plane can be drawn so it contains all three points. Then the correct option is C.

What are non-collinear points?

Non-collinear points are multiple or more points that cannot all lie on a single straight line. The points are considered non-collinear if any one of them is not situated on the same line as the other ones.

Let n be the number of non-collinear points. Then the number of lines that can be made will be

Number of lines = ⁿC₂

And the number of planes that can be made will be

Number of planes = ⁿC₃

If there are 3 non-collinear points, then the number of lines will be

Number of lines = ³C₂

Number of lines = 3

Then the number of planes will be

Number of plane = ³C₃ = 1

One plane can be drawn so it contains all three points. Then the correct option is C.

More about the non-collinear points link is given below.

https://brainly.com/question/24250339

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PLEASE HELP ME Check the picture and tell me whats the answer please

Answers

Answer:

B

Step-by-step explanation:

Given

(4x + 3)(3x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis

= 12x² - 16x + 9x - 12 ← collect like terms

= 12x² - 7x - 12

The coefficient of the x- term is - 7 → B

Rewrite using a negative exponent. help ?

Answers

a^-4. 1/ a number with an exponent is almost always the number to the negative exponent.

Answer:

[tex]a^{-4}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]

Thus

[tex]\frac{1}{a^{4} }[/tex] = [tex]a^{-4}[/tex]

postulate definition



Answers

Answer:

suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.

Step-by-step explanation:

Answer:

Postulate means a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.  It means that something may be true.

Step-by-step explanation:

Can't really explain a definition :v

Convert 550 Hm to mm​

Answers

Answer:

550 to 5.5

Step-by-step explanation:

Which sets of numbers contain whole numbers? Check all that apply. Negative 2 and StartFraction 5 Over 6 EndFraction, negative 54, negative 4, negative 57 Negative 89, 79, StartFraction 6 Over 9 EndFraction, negative 19 Two-thirds, StartFraction 2 Over 4 EndFraction, 0, StartFraction 2 Over 7 EndFraction Negative 3, negative 2, negative 7, negative 8 StartFraction 1 Over 8 EndFraction, Negative StartFraction 4 Over 8 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, negative StartFraction 7 Over 8 EndFraction

Answers

Answer:

The whole numbers are 0 and 79.

Step-by-step explanation:

The numbers provided are as follows:

[tex]-2\frac{5}{6},\ -54,\ -4,\ -57,\ -89,\ 79,\ \frac{6}{9},\ \\\\-19\frac{2}{3},\ \frac{2}{4},\ 0,\ \frac{2}{7},\ -3,\ -2, -7,\ -8,\ \\\\\frac{1}{8},\ -\frac{4}{8},\ 1\frac{3}{8},\ -\frac{7}{8}[/tex]

Whole numbers are a set of natural positive numbers and 0. This set basically consists of counting discrete numbers.

Such as: 0, 1, 2, 3, 4, 5....

From the provided set of numbers the whole numbers are:

S = {79 and 0}

Thus, the whole numbers are 0 and 79.

Answer:

it's B and C

Step-by-step explanation:

At a restaurant, a survey was conducted to find which beverage the customers preferred. In the survey, every woman customer was asked which beverage was her favorite. Were the results of the survey valid

Answers

Answer: No, because the sample was not random.

Step-by-step explanation:

For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.

Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.

Answer:

No, because the sample was not random.

Step-by-step explanation:

please someone help me . ?2^3(2-4)+5(3-8)

Answers

-41 I think u do distributive property

FOREVER CHANGED AREAS TOPIC: AREA/ MEASUREMENT Your class of 22 is lining up from recess to go back into the classroom and must maintain social distancing by remaining 180cm apart. What is the length of your line in cm and m?

Answers

Solution:

We have,

Number of students = 22Distance between any two consecutive student = 180 cm

To FinD:

Length of the line in cm and m.....[tex]?[/tex]

⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.

Between 2 students (Gap = 1)Between 3 students (Gap = 2)

.................Similarly,

Between 22 students (Gap = 21)

We have, Length of Gap = 180 cm

➝ Total length of gaps = 180 cm × 21 = 3780 cm

Converting into m,

➝ 100 cm = 1 m

➝ 3780 cm = 3780 / 100 m

➝ 3780 cm = 37.80 m

Length of line:-

In cm ➝ 3780 cmIn m ➝ 37.8 m

━━━━━━━━━━━━━━━━━━━━

what is half the sum of x and y decreased by one-third y as a algebraic expression

Answers

The answer to your question is 1/2(x+y)-y/3

the radius and height of a cone are 8 cm and 15 cm respectively find its curved surface are

Answers

Answer:

Curved surface area of a cone =πrl.

3.142×8×15=377.04cm

What is 1 plus 1 minus 1 times 1 times 1 subtract 1 plus 1 times 1 divided by 1 times 1 divided by 1 subtract 1 plus 1 plus 1 divided by 1?

Answer quick pls

Answers

Answer:

zero

Step-by-step explanation:

The CORRECT answer is 2.

(I feel like that's obvious) :/

replace __ in 2/7=8​/?

Answers

Answer:

_ is equal to 28

Step-by-step explanation:

numerator is multiplied by 4, therefore, due to the equal sign, the denominator must also by multiplied by 4

hope you understand...............................................................................

The function () is shown in this graph.

Answers

Answer:

Hey there!

The slope of f(x) is less than the slope of g(x).

For g(x) the slope is -5 and for f(x) it is -2.

Let me know if this helps :)

nancy has 167 dollars to spend on 8 books. after buying them she had 15 dollars. how much did each book cost

Answers

Answer:

Nancy spent $19 on each book. Hope I helped you.

Statistical techniques that summarize, organize, and simplify data are best classified as ____ statistics.

Answers

Answer:

descriptive statistics

Step-by-step explanation:

The statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.

The following information regarding descriptive statistics is:

It is applied for measuring or summarizing the attributes of the sample or the data set like the mean of the variable, standard deviation, etc.Also, it is a process for using and do analyses regarding the statistics.In addition to this, it does organizing & simplifying the data.is the process of using and analyzing those statistics.

Therefore we can conclude that the statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.

Learn more about the statistics here: brainly.com/question/22826675

Find the measure of c. A. 40 B. 70 C. 90 D. 50

Answers

Answer:

D. 50

Step-by-step explanation:

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

The measure of angle c will be 50 degrees. so option D is correct.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Consider an arc of a circle.

Suppose it subtends θ angle on the rest of the part of the circumference (at any point). Then it subtends 2θ angle on the center of that circle.

a = 90° (angle subtended in semicircle)

a + c + 40° = 180° (by angle sum postulate of a triangle)

90° + c + 40° = 180°

c + 130° = 180°

c = 180° - 130°

c = 50°

Therefore, the measure of angle c will be 50 degrees. so option D is correct.

Learn more about the triangles;

https://brainly.com/question/2773823

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Which operation must be used to solve this equation?
x – 5 = 23
A: Addition
B: Subtraction
C: Multiplication
D: Division

Answers

Answer:

addition

Step-by-step explanation:

as x=23+5

x=28.

I think so this is the ans.

PLEASE ANSWER ASAP!
Which of the following is true?
A.100 x 1,000 = 107
B.10 x 1,000 = 105
C.0.01 x 103 = 100
D.0.001 x 105 = 100

Answers

Answer:

None of the options are true.

Step-by-step explanation:

We are given with the following parts;

A. 100 x 1,000 = 107

B. 10 x 1,000 = 105

C. 0.01 x 103 = 100

D. 0.001 x 105 = 100

The first statement that 100 x 1,000 = 107  is false because the multiplication of the numbers 100 and 1,000 gives the result of 100,000 but in question; it is written as 107, So, this is false.

The second statement that 10 x 1,000 = 105  is false because the multiplication of the numbers 10 and 1,000 gives the result of 10,000 but in question; it is written as 105, So, this is false.

The third statement that 0.01 x 103 = 100  is false because the multiplication of the numbers 0.01 and 103 gives the result of 1.03 but in question; it is written as 100, So, this is false.

The fourth statement that 0.001 x 105 = 100  is false because the multiplication of the numbers 0.001 and 105 gives the result of 0.105 but in question; it is written as 100, So, this is false.

Hence, all the statements are false.

A card is drawn at random from a standard pack of playing cards.
Then a fair coin is flipped.
What is the probability of selecting a club and the coin landing on tails?

Answers

Answer:

1/8.

Step-by-step explanation:

Prob(selecting a club) = 13/52 = 1/4.

Prob(tail) = 1/2

Required probability = 1/4 * 1/2

= 1/8.

The world record for the greatest temperature range recorded in one day occurred in Browning,Montana in 1916.The temperature fell from 44°F to -56°F.What was the temperature change that day?​

Answers

Answer:

-100 F

Step-by-step explanation:

PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1

Answers

Answer:

1) The height of the ball from 0 to 5  seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2)  The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

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