2e - 3(2e + 3) = 3e + 5
What is e?

Answers

Answer 1

[tex]\boxed{e\:=\:-2.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S  [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]


Related Questions

I need the surface area for this prism. If you could provide a formula too, that would be great!

Answers

Answer:

136 [tex]m^{2}[/tex]

Step-by-step explanation:

Back of the shape area/ front of the shape area

A = [tex]\frac{1}{2}[/tex] [tex](bh)[/tex]

A = [tex]\frac{1}{2}[/tex] (6 × 4)

A = [tex]\frac{1}{2}[/tex] (24)       Divide 24 ÷ 2

A = 12

Bottom of the shape area

A = l · w

A = 7 · 6

A = 42

Left side of the shape area/right side of the shape area

A = l · w

A = 7 · 5

A = 35

---------------------------------------------------------------------------------

35 + 35 + 42 + 12 + 12 = 136 [tex]m^{2}[/tex]

SA = 136 [tex]m^{2}[/tex] Surface Area = 136 [tex]m^{2}[/tex]

Estimate 78.8X6.8 I neep help

Answers

Answer:

B. 500

Hope this helps!! :D

Answer:

The answer is B

explanation:

78.8 is nearly 80 and 6.8 is nearly 7

so an estimate would be 80 × 7

= 560

Use the box method to distribute and simplify (4x + 6)(- 6x ^ 4 - 4x - 6x ^ 3 + 6 + 4x ^ 2) . Drag and drop the terms to the correct locations of the table.

Answers

Answer:

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

Step-by-step explanation:

Given the expression

(4x + 6)(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

Expand

4x(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)+6(- 6x^4 - 4x - 6x ^ 3 + 6 + 4x ^ 2)

= -24x^5 -16x^2-24x^4+24x+16x^3 - 36x^4 -24x-36x^3+36+24x^2

= -24x^5 -24x^4 - 36x^4+16x^3-36x^3 -16x^2+24x^2+24x-24x+36

=  -24x^5 -60x^4 - 20x^3 + 8x^2+36

This gives the required expression

Find an equation of the largest sphere with center (10, 8 , 7) that is contained completely in the first octant.

Answers

Answer:

The equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is [tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex].

Step-by-step explanation:

A sphere is described by its radius and center, the radius of the largest sphere contained in the first octant are determined by the least distance of the center with respect to an orthogonal axis, that is:

Distance regarding x-axis:

[tex]d_{x} = 10 - 0[/tex]

[tex]d_{x} = 10[/tex]

Distance regarding y-axis:

[tex]d_{y} = 8 - 0[/tex]

[tex]d_{y} = 8[/tex]

Distance regarding z-axis:

[tex]d_{z} = 7 - 0[/tex]

[tex]d_{z} = 7[/tex]

Hence, the radius of the sphere must have a measure of 7. The equation of the sphere is represented by the following geometric locus:

[tex](x-h)^{2} + (y-k)^{2} + (z - j)^{2} = r^{2}[/tex] (1)

Where:

[tex]h, k, j[/tex] - Coordinates of the center.

[tex]r[/tex] - Radius of the sphere.

If we know that [tex](h,k,j) = (10, 8, 7)[/tex] and [tex]r = 7[/tex], then the equation of the largest sphere with center (10, 8, 7) that is contained completely in the first octant is:

[tex](x-10)^{2} + (y - 8)^{2} + (z - 7)^{2} = 49[/tex]

A population of bacteria starts 8 and is doubling every 12 hours. What equation
represents how many bacteria there will be after x days?

Answers

Answer:

a = 8 * (2)^(2x)

Step-by-step explanation:

There are 2 12hours periods in a day

a = 8 * (2)^(2x)

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?

Answers

Answer:

The probability that the month starts with the letter J or the letter M is 41.66%.

Step-by-step explanation:

Given that a month of the year is chosen at random, to determine what is the probability that the month starts with the letter J or the letter M, the following calculation must be performed:

January - March - May - June - July = 5 months

(5/12) x 100 = X

0.4166 x 100 = X

41.66 = X

Therefore, the probability that the month starts with the letter J or the letter M is 41.66%.

Answer:

5/12

Step-by-step explanation:

Months that start with the letter M are March and May

Months that start with J are January, June, July

So, in total the months that start with J and M are 5 in number.

Total number of months = 12

Therefore the probability = 5/12 or 0.416 (bar on 6)

Hope u understood

Please mark as brainliest

Thank You

hELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Find common denominators, note that what you multiply (or divide) to the denominator, you must also do the same to the numerator.

1)

[tex]\frac{2}{3} , \frac{3}{4} \\\frac{2}{3} * \frac{4}{4} = \frac{8}{12} \\\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]

Answers: [tex]\frac{8}{12} ; \frac{9}{12}[/tex]

2)

[tex]\frac{1}{4} , \frac{2}{3} \\\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\\\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]

Answers: [tex]\frac{3}{12} ; \frac{8}{12}[/tex]

3)

[tex]\frac{3}{10} , \frac{1}{2} \\\frac{3}{10} * \frac{1}{1} = \frac{3}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{3}{10} ; \frac{5}{10}[/tex]

4)

[tex]\frac{3}{5} , \frac{3}{4}\\\frac{3}{5} * \frac{4}{4} = \frac{12}{20}\\\frac{3}{4} * \frac{5}{5} = \frac{15}{20}[/tex]

Answers: [tex]\frac{12}{20} ; \frac{15}{20}[/tex]

5)

[tex]\frac{2}{4} , \frac{7}{8} \\\frac{2}{4} * \frac{8}{8} = \frac{16}{32}\\\frac{7}{8} * \frac{4}{4} = \frac{28}{32}[/tex]

Answers: [tex]\frac{16}{32} ; \frac{28}{32}[/tex]

6)

[tex]\frac{2}{3} , \frac{5}{12}[/tex]

[tex]\frac{2}{3} * \frac{12}{12} = \frac{24}{36} \\\frac{5}{12} * \frac{3}{3} = \frac{15}{36}[/tex]

Answers: [tex]\frac{24}{36} ; \frac{15}{36}[/tex]

7)

[tex]\frac{1}{4} , \frac{1}{6} \\\\\frac{1}{4} * \frac{6}{6} = \frac{6}{24} \\\frac{1}{6} * \frac{4}{4} = \frac{4}{24}[/tex]

Answers: [tex]\frac{6}{24} ; \frac{4}{24}[/tex]

Find common denominators, note that what you do to the denominator, you do to the numerator:

8.

[tex]\frac{1}{2} [] \frac{2}{5} \\(\frac{5}{5}) \frac{1}{2} [] \frac{2}{5} (\frac{2}{2})\\\frac{5}{10} \neq \frac{4}{10}[/tex]

Answer: Does not equal.

9.

[tex]\frac{1}{2} [] \frac{3}{6} \\\frac{1}{2} (* \frac{3}{3}) [] \frac{3}{6}\\\frac{1 * 3}{2 * 3} [] \frac{3}{6} \\\frac{3}{6} = \frac{3}{6} \\\\\frac{1}{2} = \frac{3}{6}[/tex]

Answer: Does equal.

10.

[tex]\frac{3}{4} [] \frac{5}{6}\\(\frac{6}{6})\frac{3}{4} [] \frac{5}{6}(\frac{4}{4})\\\frac{18}{24} \neq \frac{20}{24}[/tex]

Answer: Does not equal.

11.

[tex]\frac{6}{10} [] \frac{3}{5} \\\frac{6}{10} [] (\frac{3}{5} )(\frac{2}{2})\\\frac{6}{10} [] (\frac{3 * 2}{5 * 2})\\\frac{6}{10} = \frac{6}{10}[/tex]

Answer: Does equal.

12. You are simply only looking for the least number of parts that both rectangles can be divided too. Find the least common multiple of both 3 and 4:

Multiples of 3: 3, 6, 9, 12

Multiples of 4: 4, 8, 12

12 is your answer.

13. Find common denominators. Note that what you do to denominator, you do to the numerator:

[tex]\frac{2}{5} * \frac{2}{2} = \frac{4}{10}\\\frac{1}{2} * \frac{5}{5} = \frac{5}{10}[/tex]

Answers: [tex]\frac{4}{10}[/tex] , [tex]\frac{5}{10}[/tex]

~

(-6 - 4) divided by 2 simplified

Answers

Answer:-5

Step-by-step explanation:

Hello!

-6-4/2 = -10/2=-5

Hope this helps, have a great day!

The answer is -5 :)

NEED HELP ASAP! Translate into symbols

1. Fifteen more than a number

2. Decreased the quotient of forty eight and 6 by two is six

Answers

Answer:

x-6+6(6+6+6)X I am a pro boiiiiii

15 < x

6 = (48/6) - 2

how do you prove a theorem?​

Answers

Answer:

Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction.

Step-by-step explanation:

Answer:

There are many different ways to go about proving something, discuss 3 methods: direct proof, proof by contradiction, proof by induction. Identify the assumptions and goals of the theorem. Understand the implications of each of the assumptions made. Translate them into mathematical definitions if you can. Make an assumption about what you are trying to prove and show that it leads to a proof or a contradiction

hope this helps

have a good day :)

Step-by-step explanation:

give the other person brainliest pls

Rico has 2 plants. He buys 13 more.
If he puts 3 plants in each row, how many
rows will he have?

Answers

Total number of plants,

= 13 + 2 = 15

Number of plants in a row = 3

Hence, Total Number of rows,

= 15 ÷ 3

= 5

Therefore, he will have five rows.

Please help! And hurry

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

b: 78.5cm²

Step-by-step explanation:

answer is b my friend

If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?

Answers

Answer:

8/5

Step-by-step explanation:

First find h(-3)

 h(-3)= 4-(-3) = 4+3 = 7

Then take this result and find g(h(-3)) = g(7)

g(7) = (7+1)/( 7-2) = 8/5

Maria has $5.00 more than José. Together they have. $37.50.
Which of these equations would you use to find the amount of money José has?

Answers

Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]

Hence, the amount of money José has is $16.25.

Learn more about equation here;

brainly.com/question/21511618

#SPJ2

Rewrite as an exponential equation.
Log3 1/81 = -4

Answers

Answer:

3`⁴ = 1/81

Step-by-step explanation:

________________

The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer
side is 12.6cm. Find the length of the shorter Side.​

Answers

Answer: The shorter side = 11.83 cm

Step-by-step explanation:

The diagonal of a rectangle creates a right triangle with its adjacent sides.

Given: The diagonal and the longer side of a rectangle make an angle of 43.2°. If the longer  side is 12.6cm.

According to trigonometry,

[tex]\tan x=\frac{\text{Side opposite to x}}{\text{Side adjacent to x}}[/tex]

[tex]\tan 43.2^{\circ}=\frac{\text{Shorter side}}{12.6 }\\\\0.93906251=\frac{\text{Shorter side}}{12.6}\\\\ \text{Shorter side}=12.6\times 0.93906251\\\\=11.832187626\approx11.83\ cm[/tex]

Hence, the shorter side = 11.83 cm

A basket contains 20 red apples. The rest of the apples are green. The
number of red apples is 80% of the total number of apples. How many
total apples are in the basket?

Answers

Answer: 25 total apples

Step-by-step explanation:

so you would set up an equation where 20 = 0.80x

20 is 80 percent of the total (x)

so then solve for x, which would be 20 divided by 0.8

That's 25

Write the fraction 2/3 as the sum of unit fraction

Answers

9514 1404 393

Answer:

  1/2 + 1/6

Step-by-step explanation:

  2/3 = 1/2 + 1/6

__

The sum of unit fractions is called an Egyptian Fraction. There are several different algorithms for finding such a sum. Here, we are starting with the form ...

  2/p

where p is a small prime. Then the sum can be written as ...

  1/((p+1)/2) +1/(p(p+1)/2) = 1/(4/2) +1/(3(4/2)) = 1/2 + 1/6

A different algorithm is used when p is a composite number.

__

Using the "greedy" algorithm, we can find the largest unit fraction less than 2/3 to be ...

  1/ceil(3/2) = 1/2

Then the largest unit fraction in the remainder is similarly found. The remainder is ...

  2/3 -1/2 = 1/6 . . . . already a unit fraction

So, the sum is ...

  2/3 = 1/2 + 1/6

First person will get brainiest​

Answers

Answer:

341.6

Step-by-step explanation:

This problem asks one to subtract (58.4) from (400).

400 - 58.4 = 341.6

Less than is subtraction.

Subtract 58.4 from 400

400 - 58.4 = 341.6

The answer is 341.6

Please show steps on how to solve
log7 -2b-9=-6

Answers

Answer: b= - -log10(7)+3/2

Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)

so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)

Simplify -2b= -log10(7)+3

Divide both sides by -2  -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!

A circular fountain has a radius of 9.4 feet. Find its diameter and circumference to the nearest tenth.

Please Help.

Answers

Answer:

diameter = 18.8 ft

circumference = 56.1 ft

Step-by-step explanation:

diameter = 2 x radius = 2 x 9.4 = 18.8 ft

circumference = 2[tex]\pi[/tex]r = 2[tex]\pi[/tex](9.4) = 56.061 rounded to the nearest tenth is 56.1

c. Solve 1/2 x - (x+3)<1/3(x-1)​

Answers

Answer: x = 28

Step-by-step explanation:

Let's solve your equation step by step!

3/8x + 15/2 = 18

Step 1: Subtract 15/2 from both sides.

3/8x + 15/2 - 15/2 = 18 - 15/2

3/8x = 21/2

Step 2: Multiply both sides by 8/3

(8/3) * (3/8x) = (8/3) * (21/2)

Step 3. Calculate

x = 28

Find the surface area l=12 w=4 h=2

Answers

Answer:

SA=160

Step-by-step explanation:

surface area of cuboid=2lw+2wh+2hl

=2(12)(4)+2(4)(2)+2(2)(12)

=96+16+48

=160

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

LaVilla is a village in the Italian Alps. Given its enormous popularity among Swiss, German, Austrian, and Italian skiers, all of its beds are always booked in the winter season, and there are, on average, 1562.664 skiers in the village. On average, skiers stay in LaVilla for 17.8 days. How many new skiers are arriving - on average - in LaVilla every day

Answers

Answer:

87.79

Step-by-step explanation:

Given :

Number of skiers in the village = Inventory = 1562.664

Stay time in LaVilla = 17.8 days

The number of new skiers arriving on average per day is :

According to Little's theorem :

Inventory / flow time

1562.664 / 17.8

= 87.79

Hence, 87.79 arrive LaVilla per day on average

The brand name of Mrs. Fields (cookies) has a 90% recognition rate. If Mrs. fields herself wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 9 of the 10 consumers recognize her brand name. Also, find the probability that the number who recognize her brand name is not nine.

Answers

Answer:

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

Step-by-step explanation:

For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The brand name of Mrs. Fields (cookies) has a 90% recognition rate.

This means that [tex]p = 0.9[/tex].

Sample of 10

This means that [tex]n = 10[/tex]

Find the probability that exactly 9 of the 10 consumers recognize her brand name.

This is P(X = 9). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874[/tex]

0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.

Also, find the probability that the number who recognize her brand name is not nine.

1(100%) subtracted by those who recognize. So

1 - 0.3874 = 0.6126

0.6126 = 61.26% probability that the number who recognize her brand name is not nine.

I need an answer ASAP

Answers

It is the 3rd one your welcome

rearrange 3f+2g+3h+g-h-f​

Answers

Answer:

2f+3g+2h

hope this helps

have a good day :)

Step-by-step explanation:

Which ones to select?

Answers

Answer:

<5, <1

Step-by-step explanation:

.............

........

Plz help 10 pts
X=
4
6
12

Answers

Answer:

x = 12

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

3*x = 6^2

3x = 36

Divide each side by 3

3x/3 = 36/3

x = 12

Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them? 12x 12x2 + 40 12x + 40 8x + 40

Answers

Complete question is;

Lorenzo wants to know how much it will cost to rent tables and chairs for an event. He investigates renting tables and chairs and decides to use two different companies. Company A $4 per table (seats 4) and a $25 one-time delivery and pickup fee Company B $2 per chair and a $15 one-time delivery and pickup fee Each table seats 4 people, so Lorenzo needs to rent 4 chairs for every table. x = number of tables Cost to rent tables from Company A: f(x) = 4x + 25 Cost to rent chairs from Company B: g(x) = 2(4x) + 15 Which function represents the total cost for Lorenzo to rent x number of tables and the chairs he needs to go with them?

A) 12x

B) 12x² + 40

C) 12x + 40

D) 8x + 40

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

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