Mathematics College

What is the value of x in the equation below?

1+2e^x+1=9

Answers

Answer 1
I am sure the correct answer is x=0.38629436…hope this help you
Answer 2

Answer:

X = In4-1    C on edge, just took the test

Related Questions

Which ratio is equivalent to 7 : 8?
A) 28 : 40
B) 21 : 24
C) 49 : 64

Answers

B!!!!! 21/3=7 and 24/3=8 there for 21:24=7:8

Find the area of the equilateral triangle if a side is 14√3 ft. Round to the nearest whole number.

Answers

Answer:

Answer is C

Step-by-step explanation:

Area of an equilateral triangle can be found by the following formula,

A=[tex]\frac{\sqrt{3}} {4} a^{2}[/tex]

Where "a" is the length of one side of the triangle.

Now we can substitute the value given to the equation above and find the area of the given equilateral triangle.

A=[tex]\frac{\sqrt{3}} {4}(14\sqrt{3})^ {2}[/tex]

=[tex]\frac{\sqrt{3}} {4} 196*3[/tex]

=[tex]\frac{\sqrt{3}*196*3} {4}[/tex]

=[tex]254.611[/tex]

A=[tex]255[/tex] square feet.

Answer is C

Two examples where the law of detachment does not apply.

Answers

If the following statements are true, use the Law of Detachment to derive a new true statement.

1) If you are a penguin, then you live in the Southern Hemisphere.

2) You are a penguin.

Remember if p then q

The law of detachment, or modus ponens, doesn't apply when the antecedent is false or when premises lack conditional statements, making deductions invalid in these cases.

The law of detachment, also known as modus ponens, is a fundamental principle in classical logic that allows us to make valid deductions. However, there are situations where it does not apply:

Invalid Antecedent: In modus ponens, we start with a conditional statement (if-then statement) as our premise and then affirm the consequent. If the antecedent (the "if" part) of the conditional statement is false, the law of detachment cannot be applied. For example, if we have the statement "If it is raining, then the ground is wet" and we know that the ground is not wet, we cannot conclude anything about whether it's raining or not, as the antecedent is false.

Lack of a Conditional Statement: Modus ponens requires a conditional statement as its premise. If we are given unrelated or non-conditional premises, we cannot apply this rule. For instance, if we know that "John is a doctor" and "The sun is shining," we cannot use modus ponens to deduce anything because there is no conditional relationship between the statements.

In summary, while modus ponens is a valid and powerful inference rule in classical logic, it cannot be applied when the antecedent is false or when the premises do not involve conditional statements.

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Complete question below:

Could you provide two examples where the law of detachment does not apply in logic?

Two kinds of thread are being compared for strength. fifty pieces of each type of thread are tested under similar conditions. brand a has an average tensile strength of 78.3 kilograms with a standard deviation of 5.6 kilograms, while brand b has an average tensile strength of 87.2 kilograms with a standard deviation of 6.3 kilograms. construct a 95% confidence interval for the difference of the population means.

Answers

let x = 78.3
y = 87.2 
σₓ = 5.6 and σ₍y₎ = 6.3 
number of pieces n = 50
z = z-score value =1.96 in this case

 A 100(1-α)% confidence interval for the difference in large sample means is: 

(x – y) ± z x √( σₓ² / n+ σ₍y₎²/n) 

by putting the values,
=(78.3-87.2) ± 1.96 x √(5.6² /50 + 6.3² /50)

= -8.9 ± 2.34
= [-11.24, -6.56]
Final answer:

In this case, we have two different brands of thread and we have data about their tensile strength. We calculate the standard error of the difference between their means and use that to construct a 95% confidence interval. The result suggests the average tensile strength of Brand B is significantly higher than that of Brand A.

Explanation:

To construct a 95% confidence interval for the difference of the population means between the two types of threads, we first need to calculate the standard error of the difference which is the square root of the sum of the squares of the standard deviations divided by the respective sample sizes. In this case, the sample sizes for brands A and B are both 50.

The standard error of the difference = sqrt[(5.6^2/50) + (6.3^2/50)] = approximately 1.18

Since we are trying to build a 95% confidence interval, we have to look at the z-score corresponding to this confidence level. A 95% confidence interval corresponds to 1.96 standard deviations either side of the mean, thus the z-score is 1.96.

We can then calculate the confidence interval as:
Lower limit = (78.3 - 87.2) - 1.96 x 1.18 = -11.52
Upper limit = (78.3 - 87.2) + 1.96 x 1.18 = -7.08

So the 95% confidence interval for the difference between the mean tensile strengths of the two thread types is approximately (-11.52, -7.08) kilograms.

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help me? idk the answer :P

Answers

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ \left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group} \\\\ -------------------------------\\\\ [/tex]

[tex]\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\ -------------------------------\\\\ \textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4[/tex]

[tex]\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\ -------------------------------\\\\ \textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8} \\\\\\ \cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}[/tex]

[tex]\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9[/tex]

What is the area of parallelogram ABDC?

Answers

You can split it into two triangles and find the area of both triangles and later add them up.

A = bh/2

Triangle 1:
3*3 = 9
9/2 = 4.5

Triangle 2:
3*3 = 9
9/2 = 4.5

4.5 + 4.5 = 9

Answer: The area of the parallelogram is 9 cm^2

Hope this helps :)
Please give brainliest

Answer:

9cm

Step-by-step explanation:

Rachel pays $15.20 for a pack of 8 towels. Find the unit price in dollars per towel .

Answers

15.20 / 8 = 1.90 per towel <==
Final answer:

The unit price of a towel is calculated by dividing the total cost of the pack ($15.20) by the number of towels in the pack (8), which equals $1.90 per towel.

Explanation:

In order to find the unit price in dollars per towel, we simply divide the total cost of the pack by the number of towels in the pack. So for Rachel who paid $15.20 for a pack of 8 towels, to find the cost per towel, you'd divide $15.20 by 8.

To calculate:

Divide the total cost by the number of items: $15.20 / 8

This equals $1.90. So, the cost per towel, or unit price, is $1.90.

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At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decimal places. if an answer does not exist, enter dne.)

Answers

Final answer:

To determine the intersection points of the helix and the sphere, we substitute the helix's parametric expressions into the sphere's equation, simplify, and solve for t, resulting in two points of intersection upon further substitution back into the helix's equation.

Explanation:

The question asks at what points the helix r(t) = (sin t, cos t, t) intersects the sphere x2 + y2 + z2 = 65. To find the intersections, we substitute the parametric equations of the helix into the equation of the sphere. Thus, we get (sin2t) + (cos2t) + t2 = 65. Using the Pythagorean identity sin2t + cos2t = 1, the equation simplifies to 1 + t2 = 65, which further simplifies to t2 = 64. Solving for t, we find t = ±8. Thus, the helix intersects the sphere at the points generated by these t values, which can be found by substituting t back into the helix equations, resulting in (sin(8), cos(8), 8) and (sin(-8), cos(-8), -8), with approximate numerical values after calculations.

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following compound interest problem. $500 at 4% for 5 years, compounded annually. Total Amount = $ Interest Amount =$

Answers

The formula to find the total amount is
A=p (1+r)^t
A total amount?
P present value 500
R interest rate 0.04
T time 5years
A=500×(1+0.04)^(5)=608.33

To find the interest amount just subtract the amount of the present value from the total amount
interest amount
608.33−500=108.33

Answer:

608.33

108.33

Step-by-step explanation:

Found answer in above answer.

A local hamburger shop sold a combined total of 693 hamburgers and cheeseburgers on Wednesday. There were 57 fewer fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday

Answers

693-57 = 636

636/2 = 318

cheeseburgers sold = 318

 hamburgers sold = 318 + 57 = 375


To determine the number of hamburgers sold on a specific day, an equation is set up and solved to find the value of hamburgers. In this scenario, 375 hamburgers were sold on Wednesday.

The question is asking how many hamburgers were sold on a specific Wednesday given the total combined sales of hamburgers and cheeseburgers and that fewer cheeseburgers were sold than hamburgers. To find the number of hamburgers sold, we can set up a system of equations. Let's define H as the number of hamburgers and C as the number of cheeseburgers. From the information provided, we have the following equations:

H + C = 693 (Total sales of both types of burgers)C = H - 57 (There were 57 fewer cheeseburgers sold than hamburgers)

Substituting the second equation into the first gives us:

H + (H - 57) = 693

2H - 57 = 693

Adding 57 to both sides, we get:

2H = 693 + 57

2H = 750

Now divide both sides by 2:

H = 375

Therefore, 375 hamburgers were sold on Wednesday.

at the end of the month, a medical office has 86 envelopes remaining. if the office uses 7 envelopes per day, on which day will the office likely run out of envelopes?

Answers

86/7 = 12.28 days worth

 so they will run out on the 13th day of the next month

Anya graphed the line (y – 2) = 3(x – 1) on the coordinate grid. The slope of her line is .

Answers

ur equation is in this form : y - y1 = m(x - x1)....in this form , point slope form, the slope can be found in the m position.

  y - 2 = 3(x - 1)
y - y1 = m(x - x1)

so u see, the slope (the number in the m position) = 3

Answer:

3

Step-by-step explanation:

took quiz on edge

Choose the correct description of the graph of the inequality x − 3greater than or equal to 5

Answers

not sure what the correct description is but the answer is:
x ≥ 8

Answer:

Move all terms not containing x to the right side of the inequality. x≥8

Closed circle on 8, shading to the right.

E=mc2 is one of the most recognizable equations in the world. In this task, you’ll attempt to understand it better. Let’s start with what the letters mean. The letter E stands for energy, the letter m stands for mass, and the letter c stands for the speed of light. The meaning of this equation is that you can completely convert mass into energy. a. Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of roots.

Answers

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ E=mc^2\implies \cfrac{E}{m}=c^2\implies \sqrt{\cfrac{E}{m}}=c\implies \left( \frac{E}{m} \right)^{\frac{1}{2}}=c[/tex]

EASY 5 POINTS!!! You want to help build an awards podium for a track meet. If the podium has the dimensions shown, what is its volume?

Answers

Answer:

The volume is equal to [tex]18\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of each figure is equal to

[tex]V=LWH[/tex]

where

L is the length

W is the width

H is the height

Step 1

Find the volume of figure N 1

[tex]V1=1.5*2*3=9\ cm^{3}[/tex]

Step 2

Find the volume of figure N 2

[tex]V2=1.5*2*2=6\ cm^{3}[/tex]

Step 3

Find the volume of figure N 3

[tex]V3=1.5*2*1=3\ cm^{3}[/tex]

Step 4

Find the total volume

[tex]V=V1+V2+V3=9+6+3=18\ cm^{3}[/tex]

Answer:

[tex]\text{Volume of podium}=18\text{ ft}^3[/tex]

Step-by-step explanation:

We have been given a graph of podium for a track meet and we are asked to find the volume of our given podium.

To find the volume of podium we will find volume of each podium using volume of cuboid formula.

[tex]\text{Volume of cuboid}=l*b*h[/tex], where,

[tex]l=\text{ Length of cuboid}[/tex],

[tex]b=\text{ Breadth of cuboid}[/tex],

[tex]h=\text{ Height of cuboid}[/tex].

Upon substituting our given values in cuboid formula we will get,

[tex]\text{Volume of cuboid 1}=\text{3 ft*2 ft*1.5 ft}[/tex]    

[tex]\text{Volume of cuboid 1}=9\text{ ft}^3[/tex]    

[tex]\text{Volume of cuboid 2}=\text{2 ft*2 ft *1.5 ft}[/tex]

[tex]\text{Volume of cuboid 2}=6\text{ ft}^3[/tex]

[tex]\text{Volume of cuboid 3}=\text{1 ft*2 ft *1.5 ft}[/tex]

[tex]\text{Volume of cuboid 3}=6\text{ ft}^3[/tex]

Let us add volume of each cuboid to find the volume of our given podium.

[tex]\text{Volume of podium}=9\text{ ft}^3+6\text{ ft}^3+3\text{ ft}^3[/tex]

[tex]\text{Volume of podium}=18\text{ ft}^3[/tex]

Therefore, volume of our given podium is 18 cubic feet.

Ed ate 3/8 of the pizza and jen ate 1/4 of the pizza. How much of the pizza is left

Answers

one third is left, i think. Sorry, I might be off.
First of all, Ed ate 3/8 of the pizza and jen ate 1/4 of the pizza which means that they are total 3/8+1/4=3/8+2/8=5/8 of the pizzas. Also, we know the pizza has portion of 1 or 8/8 in this case, so 8/8-5/8=3/8 represent the portion of pizza is left. As a result, the pizza is 3/8 left. Hope it help!

in a right triangle, what is the product of sin b and tan c and product of sin c and tan b

Answers

check the picture below.

If 2(x -1) = 14, then x =

Answers

remember you can do anything to an equestion as long as you do it to both sides


2(x-1)=14
divide both sides by 2
x-1=7
add 1 to both sides
x=8

If the given equation is represented as "2(x - 1) = 14", then the value of the variable "x" is 8.

To solve the equation 2(x - 1) = 14 for x, we use algebraic techniques to separate x.

First, we distribute the 2 to both terms inside the brackets;

2x - 2 = 14,

Next, we separate the variable x by adding 2 to both sides of the equation:

2x - 2 + 2 = 14 + 2,

Simplifying the equation:

2x = 16,

At last , to solve for x, we divide both sides of the equation by 2:

We get,

(2x) / 2 = 16 / 2,

x = 8,

Therefore, the solution to the equation 2(x - 1) = 14 is x = 8.

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20. Archetypes are a type of _______ that appear throughout history.
A. motif
B. prototype
C. foreshadowing
D. subgenre
Student Answer: A
Answer: Incorrect
Answer is B Prototype

Answers

An archetype appears repeatedly throughout history. Its' a  B. Prototype-an original idea that has come to be used over and over again. 

For Penn Foster the answer you find the answer to this qrestion In the section called Analysis of “ Paul’s Case” 4 th paragraph an Archetype appears repeatedly throughout history -It’s a prototype . So the qrestion people are asking is. Archetypes are a type of _______ that appear throughout history? A. foreshadowing B. prototype C. subgenre D. motif

Answer true and correct B. PROTOTYPE

I made a hundred on this test for pf

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What are the next two numbers in the pattern 3.1, 3.11, 3.11, 33.11

Answers

33.11, 311 im pretty sure this is right, if it is not can you please correct me?

What is 24/126 simplified

Answers

Hello there!

24/126.

First, let's try to divide both numbers by 2, as the numbers in the ones place are even.

24 / 2 = 12
126 / 2 = 63

12/63

Divide both numbers by 3.

12 / 3 = 4
63 / 3 = 21

4/21. This is your simplified fraction.

I hope this helps!
24= 2*2*2*3
126= 2*3*3*7

The GCF= 2*3 or 6

Divide the numerator and denominator by the GCF
24/6=4
126/6=21

Final answer: 4/21

A number is K units to the left of 0 on the number line. Describe the location of its opposite

Answers



------------------------(- K)-------------0-------------(+K)-----------------

K unit to the left of 0, means K is negative.
The opposite of (-K) is (+K), both are symmetric vs. the origin "0", then its location will be +K

an architectural drawing lists the scale as 1/4"=1'. if a bedroom measures 2 1/2" by 3 3/4" on the drawing, how large is the bedroom?

Answers

One way to solve this type of problem is to use proportions.

1/4"    equals 1 ft
2 1/4"  corresponds to how many feet?  Call this "x."

Then    1
            --
             4               1 ft
------------------ = -----------
             9
            ---                 x
             4

Solve this for x.  First, reduce the first set of fractions.  That boils down to (1/9).  

Equate (1/9) to 1/x.  It's obvious that x = 9 (feet).

Use the same method to find the length of the bedroom.



Answer:

The answer is 10 ft by 15 ft

Step-by-step explanation:

2 1/2 is also 2 2/4

Since 1/4 = 1

2/4 = 2 feet

Plus the whole number being 2 from 2 2/4 equates to 8 feet

because 2 is the same as 8/4.

2 2/4 = 10 feet

Do the same with 3 3/4 and you get 15 feet total.

Resulting in 10 ft by 15ft

What is the inverse of y equals x squared + 2

Answers

to get the inverse relation of any expression, simply start off by doing a switcharoo on the variables, and then solve or "y".

[tex]\bf \boxed{y}=\boxed{x^2}+2\qquad inverse\implies \boxed{x}=\boxed{y^2}+2 \\\\\\ x-2=y^2\implies \sqrt{x-2}=y\impliedby f^{-1}(x)[/tex]

If the measures of the angles of a triangle are in the ratio of 19:13:4, then the expressions 19x, 13x, and 4xrepresent the measures of these angles. Find these angle measures.

Answers

Well this isn't college math lol

You do 19x + 13x + 4x = 26x

180 divided by 26x =        x = 6.92307...

plug in x then  round to tenth

6.9 x 19 = 131.1 degrees

6.9 x 13 = 89.7 degrees

6.9 x 4 = 27.6 degrees
interior angles of a triangle add up to 180

19x + 13x + 4x = 180
36x = 180
x = 180/36
x = 5

19x = 19(5) = 95 <== heres one
13x = 13(5) = 65 <== and another
4x = 4(5) = 20 <==and another

19:13:4 = 95:65:20

Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.

A newspaper finds that the mean number of typographical errors per page is
six
six. Find the probability that​ (a) exactly
four
four typographical errors are found on a​ page, (b) at most
four
four typographical errors are found on a​ page, and​ (c) more than
four
four typographical errors are found on a page.

Answers

The applicable distribution is Poisson, since it relates to the number of successes/occurrences within a specified interval.

The probability of a given number, x, of occurrences is given by
P(x)=m^x*e^(-m)/x!
where m is the mean number of occurrences.

In the case of mean, m=6, the probability reduces to
P(x)=6^x*e^(-6)/x!

(a) x=4
P(4)=6^4*e^(-6)/4!=0.13385

(b) x<=4
P(X<=4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)
=0.00248+0.01487+0.04462+0.08924+0.13385+0.28506
=0.28506

(c) x>4
P(X>4)=1-P(X<=4)
=1-0.28506
=0.71494

What is the diameter of a circle with a circumference of 4pi?

Answers

C = πD     [C=circumference, D=diameter]

4π = πD     ⇒ D = 4π/π = 4 units
What is the diameter of a circle with a circumference of 4pi? = 2x radius = 8 Inches.

In a study conducted for the state department of education, 30% of the teachers who left teaching did so because they were laid off. assume that we randomly select 16 teachers who have recently left their profession. find the probability that at least 7 of them were laid off.

Answers

This problem can be solved by using the binomial distribution.

p = 30% = 0.3 is the probability that a teacher was laid off.
q = 1 -p = 0.7 is the probability that a teacher was not laid off.
n = 16 is the sample size.
r = 7 is the expected number of teachers who were laid off

The probability that 7 out of 16 teachers were laid off is
₁₆C₇ p⁷q⁽¹⁶⁻⁷⁾ = 11440*(0.3⁷)*(0.7⁹) = 0.101 =10.1%

Answer:
The probability is 0.101 or 10.1%

I need to simplify this equation and don't know how, please help!
[tex] \frac{ \frac{y}{x} - \frac{x}{y}}{ \frac{1}{y}-\frac{1}{x}} [/tex]

Answers

[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{\frac{y}{x}-\frac{x}{y}}{\frac{1}{y}-\frac{1}{x}}\implies \cfrac{\textit{LCD of \underline{xy}}}{\textit{LCD of \underline{xy} also}}\implies \cfrac{\frac{y^2-x^2}{xy}}{\frac{x-y}{xy}}\implies \cfrac{y^2-x^2}{\stackrel{ }{xy}}\cdot \cfrac{\stackrel{ }{xy}}{x-y} \\\\\\ \cfrac{y^2-x^2}{x-y}\implies \cfrac{(y-x)(y+x)}{x-y}\implies \cfrac{\stackrel{ }{(y-x)}(y+x)}{-\stackrel{ }{(y-x)}}\implies \cfrac{y+x}{-1} \\\\\\ -(y+x)\implies -y-x[/tex]

The Jurassic Zoo charges ​$14 for each adult admission and ​$9 for each child. The total bill for the 214 people from a school trip was ​$2081. How many adults and how many children went to the​ zoo?  

Answers

a=adult

c=child

a+c=214

c=214-a

9c+14a=2081

9(214-a)+14a=2081

1926-9a+14a=2081

5a=155

a=155/5=31

31 adults

183 children


check

31*14 = 434

183*9=1647

1647+434=2081

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