Answer 19.35 km
Step-by-step explanation:
We are looking for the Distance that Apostle Paul walked in 4.5 Hours!
I will be using the formula Distance=rate*time 1)
We DONT know the distance so I'll leave it as variable "D".
We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.
Set up the following equation. D=4.3*4.5 2)
Simplify the equation above: D=19.35
[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]
In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:
[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
In the second integral, integrate by parts:
[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
It follows that
[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
Answer:
3,2,1,6,5,4
Step-by-step explanation:
Hope this helps!!!
All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,
1. 2p + (- 8) = - 12 Find p
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
Given that,
In a parabola,
Focus = (-1 , - 8)
And, Directrix =; y = - 12
The standard equation of a parabola is,
[tex]y = - p (x - h)^2 + k[/tex]
Where, (h, k) is the vertex of the parabola.
Now, the Statement with reason to find the equation of a parabola is,
Statement Reason
1. 2p + (- 8) = - 12 Find p
p = - 2
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
y = - 10
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
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choco chip cookies cost $3.20 for the 15oz size . The 18oz size $3.75 Which is the better buy
Answer:
18 oz
Step-by-step explanation:
Choco Chip Cookies (15 oz): [tex]\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}[/tex]
Choco Chip Cookies (18 oz): [tex]\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}[/tex]
So, the 18oz package is the better buy by about [tex]\$0.005[/tex]
A culture started with 3000 becteria. after 8 hours it grew to 3300 becteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: I think 5000
Step-by-step explanation:
I’m probably completely wrong lol sorry
What's the circumference of a circle with a diameter of 7 feet Use 3.14 for pi.
Answer:
21.98
Step-by-step explanation:
Formula for Circumference of a Circle:
C=2πr
1. We find r, which is basically the diameter divided by 2, aka half of the diameter:
d/2 = r
Fill in:
7/2 = r
r = 3.5
2. We fill in the Formula:
C = 2πr
C = 2(3.14)(3.5)
3. Multiply it all
3.14 x 3.5 = 10.99
10.99 x 2 = 21.98
Hence, the circumference of the circle is 21.98.
12x12x77-38x 25 answer pls
Answer:
10138 is the answer to 12x12x77-38x 25
Step-by-step explanation:
I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138
Examine the equation and solution method shown below. Indentify the error and then solve the equation using a valid solution method.
1. Find and explain the error in the solution method.
2. Solve the equation 3(3x+6+x)=1 using a valid solution method.
3. Explain each step in your solution method. Why is your method valid?
Pls Help. 100 points
3 ( 3x + 6 + x ) = 1
Step 1, apply distributive method.
9x + 18 + 3x = 1
Step 2, simplify the following
12x + 18 = 1
Step 3, Change side
12x = -17
Final answer
x = -17/12
The error/mistake was in step 2 where [ 9x +3x = 12x ]
Recheck the answer
3 ( 3x + 6 + x ) = 1
3 ( 3(-17/12) + 6 + -17/12 ) = 1
1 = 1
Hence proved our solution is correct.
Answer:
Question 1
The error is in step 2. They have subtracted [tex]3x[/tex] from the left side of the equation, yet only subtracted 3 from the right side.
Questions 2 & 3
Solve:
[tex]3(3x + 6 + x) = 1[/tex]
Apply the distributive law [tex]a(b + c) = ab + ac[/tex] :
[tex]\implies 9x + 18 + 3x = 1[/tex]
Collect and combine like terms:
[tex]\implies 9x + 3x+ 18 = 1[/tex]
[tex]\implies 12x + 18 = 1[/tex]
Subtract 18 from both sides:
[tex]\implies 12x + 18 - 18 = 1 - 18[/tex]
[tex]\implies 12x = -17[/tex]
Divide both sides by 12:
[tex]\implies \dfrac{12x}{12}=-\dfrac{17}{12}[/tex]
[tex]\implies x=-\dfrac{17}{12}[/tex]
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
53
Step-by-step explanation:
[tex] \frac{sin(56)}{78.6} = \frac{sin(90)}{ab} \\ \\ absin(56) = sin(90) \times 78.6 \\ \\ ab = \frac{sin(90) \times 78.6}{sin(56)} \\ ab = 94.8 \\ \\ {x}^{2} + {78.6}^{2} = {94.8}^{2} \\ {x}^{2} = {94.8}^{2} - {78.6}^{2} \\ {x}^{2} = 8987.04 - 6177.96 \\ {x}^{2} = 2809.08 \\ x = \sqrt{2809.08} \\ x = 53[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
by using formula a+b+c=180
what is 3.1 converted into a simplified fraction?
Answer:
31/10
Step-by-step explanation:
A group of adults plus one child attend a movie at a movie theater. Tickets cost $9 for adults and $4 for children. The total cost for the movie is $85. Enter an equation to find the number of adults in the group. The equation + a = can help find out how many adults were in the group.
Answer:
There is 8 adults and 1 child
Step-by-step explanation:
$78 - $6 = $72
$72 divided by 9 = 8
you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)
The movie theater sold 50 buckets of popcorn last Wednesday. 60 people watched movies that day, and 40 of those people ate popcorn. Do you see a fraction that you could use to create a division problem?
Answer:
70
Step-by-step explanation:
60/40Ⅹ50=70
I hope this helps
two-digit natural numbers are formed, with replacement, from 0 through 9. how many two-digit odd numbers are possible?
Let's solve this step by step:
The first digit has 9 choices --> 1 through 9The second digit has 10 choices --> 0 through 9*the first digit cannot have '0' as its first digit since it would make the
number one-digit
Total Choice: 9 choices * 10 choices = 90 choices
Hope that helps!
can you write 2 expressions that will simplify to 6x-4y
Hello, the answer to your question is "Sure!"
These are the expressions:
12x-6x-9y+5y
Combine Like Terms:
6x-4y
Bingo! Now, one more:
Hmmm, let me think...
-18x+24x+16y-20y
Combine Like Terms:
6x-4y
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
proof for the extreme value theorem
What is the sum of the interior angles of a regular polygon with 7 sides
Answer:
the answer is 900 degrees
Step-by-step explanation:
brainliest?
Answer:
900°
Step-by-step explanation:
sum of interior angles of n sides polygon=(n-2)×180
n=7
Hence sum of interior angles of 7 sided polygon=(7-2)×180
=5×180
=900°
Easy math 3 pictures
Answer:
1. 52yard²
2. $54
3. 30.5
Step-by-step explanation:
1. area of square shape = lenght x breadth
= 4 * 4
= 16
area of rectangle shape = lenght x breadth
= 9 * 4 = 36
tatal area = 16 + 36
= 52yard²
2. let the cost = c
thus 9% * c = 4.86
c = 4.86 * 90%
c = $54
3.area of length traingle=1\2 *base * height
= 1\2 * 3 * 7
= 10.5
area of right quadrilateral= legnth*bredth
= 4 * 3
= 12
area of right traingle = 1\2 * base * height
= 1\2 * 4 * 4
= 8
total area of shape = 10.5+12+8
= 30.5
DO MARK BRAINLIEST
Answer:52 54 30.5
Step-by-step explanation:
Simplify and write the trigonometric expression without any fractions: tan(u)+cot(u)
Answer:
[tex]\csc(u).sec(u)[/tex]
Step-by-step explanation:
[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
(Sin²u + Cos²u) = 1
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan (u) + Cot (u)
We know that,
Tan x = sin x / cos x
Cot x = cos x / sin x
Now,
Tan (u) + Cot (u)
= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)
Simplify by forming into a fraction.
= (Sin²u + Cos²u) / Sin(u)Cos(u)
[ sin² + cos² = 1 ]
So,
(Sin²u + Cos²u) = 1
= 1 / Sin(u)Cos(u)
= 1/Sin(u) x 1/Cos(u)
= Cosec(u) x Sec(u)
Thus,
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
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CAN SOMEBODY HELP ME SOLVE THIS EQUATION
Complete the sentence with the correct word in
parentheses.
1- My friend's children have no
(manners / impression). When we were at a restaurant last
night, they were running around the restaurant and talking
loudly.
2- It was hard for Laxmi to make eye contact with his boss,
because in his country that does not show
(gesture / respect).
3- In the experiment, the researchers studied the
(behavior / activity) of the
children as they interacted with adults.
4- I try to
(interrupt / avoid) going
outside when it's very cold.
Answer:
1- manners
2-respect
3-behaviour
4-avoid
Answer:
1- manners
2- respect
3- behavior
4- avoid
Find the area of the parallelogram.
3 cm
5 cm
Answer:
Area = Base ×Height
Step-by-step explanation:
Area = Base × Height
Area = 3cm × 5cm
Area = 15cm
Area of the parrallelogram is 15cm
A laptop computer is purchased for $2350. After each year, the resale value decreases by 35% . What will the resale value be after 4 years?
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &2350\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A=2350(1 - 0.035)^{4}\implies A=2350(0.965)^4\implies A\approx 2037.87[/tex]
Darya is a real estate broker with a house listing. She estimates that this listing will cost her $2300 for various expenses. If Darya sells the house within 6 months, she will receive a commission of $20,000. If it takes longer than 6 months, the listing will expire, and she'll lose the $2300 she spent on expenses. She estimates the probability that she'll sell the house within 6 months is 80%. Determine Darya's expectation for this listing.
Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering the situation described in the text, the distribution is given by:
P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.Hence, her expectation is given by:
E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.
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2. A student wanted to find the height h of a statue of a pineapple
in Nambour, Australia. She measured the pineapple's shadow
and her own shadow. The student's height is 5 feet 4 inches.
What is the height of the pineapple?
Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:
[tex]\frac{h}{64} = \frac{105}{24}[/tex]
Applying cross multiplication:
24h = 64 x 105
h = 64 x 105/24
h = 280
The height of the pineapple is of 280 inches = 23 ft 4 in.
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What expression is equivalent to 12x^4/4x^16 helpppp
Answer: 48x/64
Work (assuming ^ is multiplication):
12x^4/4x^16
12x ^ 4x = 48x
4 ^ 16 = 64
5/6 of a number is 65.
Find the number.
Answer:
78 is the number
Step-by-step explanation:
(65*6)÷5 = 78.
5/6 of a number is 65.
And the number is 78.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
A phrase: 5/6 of a number is 65.
To find the number:
Let the number be n.
Applying multiplication operation,
5/6 of n is 65.
(5/6)n = 65.
Applying cross multiplication,
n = 65 x 6/5
n = 390/5
n = 78.
Therefore, the number is 78.
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help please
1.) Write in words the decimal 123.0047.
Write in fractional notation and simplify.
2.) 0.91 3.) 2.769
Write in decimal notation.
4.) 74 over 1000 5.) 37047 over 10000 6.) 756 9 over 100
Which decimal number is greater?
7.) 0.07 or 0.162 8.) 8.049 or 8.0094
Round the next decimal number, 5.6783, to the indicated decimal place.
9.) To the Unit 10.) To the Thousandth 11.) To the Tenth
if an item regularly cost d dollars and is discounted 12 percent, which of the following represents the discounted price?
If an item usually costs d dollars a 12% discount can be represented as 0.88d.
What is a discount?This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.
How can the discounted price be represented?Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).
For example, if the regular price is $100, 0.88 x 100 = $88.
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(a) A color page prints 20 pages in 7 minutes. How many pages does it print per minute?
(b) it takes 55 pounds of seed to completely plant a 7- acre field. How many acres can be planted per pound of seed?
If needed round to nearest hundredth.
Answer:
A. 20 / 7 = 3 (or 2.85)
B. 55 / 7 = 8 (or 7.85)
Brainliest is appreciated!
_ daintysword.mp4
Answer:
A.3
B.8
Step-by-step explanation:
this is the answer
Martina is ordering an ice cream dessert. She must order a size and a flavor of ice cream. There are 4 sizes and 2 flavors to choose from. How many different
cream desserts could she order?
Answer: 8.
Step-by-step explanation: There are 4 sizes, so let's say that the sizes are small, medium, large, and extra large. There are 2 flavors, so let's say that the flavors are chocolate and vanilla. The possible combinations are below:
Small chocolateMedium chocolateLarge chocolateExtra large chocolateSmall vanillaMedium vanillaLarge vanillaExtra large vanillaAs you can see, there are 8 possible combinations that she can choose from as far as 4 sizes and 2 flavors go.
Have a great day! :)