Answer:
False
Step-by-step explanation:
3x9=27
3x9=2712+13=25
3x9=2712+13=2527=25
3x9=2712+13=2527=25These 2 numbers don't match.
Hence, the equation is false.
ILL GIVEE POINTS PLEASE HELP
Answer:
Denominators
Step-by-step explanation:
a. 4
b. 7
c. 3
d. 3
Just divide the denominator of the fractions
2. You are called to a crime scene and need to get there as quickly as possible. The crime scene is 10.5 miles away.
You will be able to drive an average of 45 miles per hour. Approximately how long will it take you to get to the
scene?
A. 5 minutes
B. 10 minutes
C. 5 minutes
D. 14 minutes
The time taken to reach the scene is 14 minutes, the correct option is D.
What is Speed?Speed is the rate at which a certain distance is covered in a given period of time, it is represented in m/sec, km/hr, etc.
The distance is 10.5 miles
The speed of driving is 45 miles/ hour
Time period = ?
Let t denotes the time taken to reach
Speed = Distance / Time
45 = 10.5 / t
t = 10.5/45 = 0.233 hours
t = 0.233 *60 = 14 minutes
Therefore, the time taken to reach the scene is 14 minutes, the correct option is D.
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The formula c(x) = 0.45 +0.2(x - 1) can be used to find the cost of mailing a letter that
weighs 2 ounces or more. Find the formula for
c'(x)
Answer:
Step-by-step explanation:
Remark.
I take it that this is a calculus question question.
Expand c(x)
c(x) = 0.45 + 0.2x - 0.2 Combine
c(x) = 0.25 + 0.2x/dx
c(x) = 0.2
[tex] \rm\sum_{n = 1}^ \infty ( - 1 {)}^{n + 1} \int^{ \infty }_{0} \frac{ \sqrt{ {x}^{2n - 3} } \: {tan}^{ - 1}( {x}^{2n - 1} )}{1 + {x}^{2n - 1} } \: dx\\ [/tex]
Substitute [tex]y = x^{\frac{2n-1}2}[/tex] and [tex]dy = \frac{2n-1}2 x^{\frac{2n-3}2} \, dx[/tex]. Then the integral is
[tex]\displaystyle \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1 + x^{2n-1}} \, dx = \frac2{2n-1} \underbrace{\int_0^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy}_I[/tex]
which is to say, the integral is now independent of n. Then
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = I \sum_{n=1}^\infty \frac{2(-1)^{n+1}}{2n-1}[/tex]
Let's evaluate the sum. Recall that if |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]
which means
[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{n=0}^\infty \left(-x^2\right)^n = \sum_{n=0}^\infty (-1)^n x^{2n}[/tex]
By the fundamental theorem of calculus, integrating both sides gives
[tex]\displaystyle \tan^{-1}(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1} = \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]
As x approaches 1 from below, we have
[tex]\displaystyle \lim_{x\to1^-} \tan^{-1}(x) = \lim_{x\to1^-} \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]
[tex]\displaystyle \frac\pi4 = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1} \left(\lim\limits_{x\to1^-} x^{2n-1}\right) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1}[/tex]
and so
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 I[/tex]
Now compute the remaining integral. First split it at y = 1 :
[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy[/tex]
In the second integral, notice that replacing [tex]z=\frac1y[/tex] and [tex]dy = -\frac{dz}{z^2}[/tex] yields
[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy = - \int_1^0 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1 + \frac1{z^2}} \, \frac{dz}{z^2} = \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz[/tex]
The inverse tangent function has the property
[tex]\tan^{-1}(x) = \dfrac\pi2 - \tan^{-1}\left(\dfrac1x\right)[/tex]
so it follows that
[tex]\displaystyle \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz = \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]
and hence
[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]
[tex]\displaystyle I = \frac\pi2 \int_0^1 \frac{dz}{1+z^2}[/tex]
[tex]I = \dfrac\pi2 \times \dfrac\pi4 = \dfrac{\pi^2}8[/tex]
Then the original expression has an exact value of
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 \times \frac{\pi^2}8 = \boxed{\frac{\pi^3}{16}}[/tex]
The product of y and 9 is at most -18.
Answer:
y = -2
Step-by-step explanation:
Y × 9 = -18
Y = -18 / 9
Y = -2
320 percent of 360 is what ?
Answer:
Step-by-step explanation:
320% 360 = ?
320/100 * 360 =
3.2*360 = 1152
The Downtown Community Barbecue served 363 dinners. A child’s plate cost $4.20 and an adult’s plate cost $9.00. A total of $2,681.40 was collected. How many of each type of plate was served?
Answer:
there were 223 child plates and 149 adult plates
Step-by-step explanation:
There were 223 child plates.
Since there were a total of 372 plates, there will be 149 adult plates (223 + 149 = 372)
To verify, the total amount raised would be $2121.50:
3.50c + 9a = 2121.50
3.50*223 + 9*149 = 780.50 + 1341.00= $2121.50
600/b=74/100 HELP ASAP PLEASE!
Answer:
Step-by-step explanation:
Cross multiply,
74* b = 600 * 100
74b = 60000
b = 60000/74 = 810.8
The width of a vegetable garden is į times its length.
If the length of the garden is 7 feet, what is the width
in simplest form?
Answer:
I guess it's 6 but I'm not really sure about my answer
Ajar contains 35 dimes and nickels. The total value of the coins is $2.50. If
d = the number of dimes and n = the number of nickels, this is the system of
equations:
d+ n = 35
0.100+ 0.05n = 2.50
How many of each type of coin are there? Solve the system to answer the
question
Answer:
0.05x+0.10(35-x)=2.50
(0.05x+3.5-0.10x=2.50) get rid of devimal points by multiplying both sides by 100
5x+350-10x=2505x-10x +350-350=250-350(-5x= 100)divide both by -5-5x/-5= -100/-5x=20(the number of nickels)The number of dime is35-x. and x=2035-20=15the number of dimes is = 15the number of nickels is = 2020nickels =$1.0015dimes =$1.50check
the number of dimes + the number of nickels is $2.50d+n=$2.50. : d=$1.50 and n=$1.00$1.50 + 1.00 =$2.50Does anyone know this?
The distance Charles c runs one day is increased by two. If he runs that new distance three times, write an expression to represent the distance Charles ran.
Answer:
3c-6
Step-by-step explanation:
One day is c-2 so we need to multiply by 3. We get 3(c-2) or 3c-6.
Tip: use the variables/numbers in the problem to form an equation. Then, simplify.
Pls help me …….I really need help
Answer:
The least common denominator for 1/3 and 5/11 is 33, and the least common denominator for 4/5 and 1/6 is 30! Hope this helps.
Step-by-step explanation:
Help please...............
Write a word expression for the problem using math vocabulary.
6k + 23
Hello.
First, we have a number k multiplied by 6, so we write
6 times a number k
or
6 times k
Now, we also add 23.
We can write it as
the product of 6 and k plus 23
or
6 times k plus 23
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
N:2 = 15/5 solve it for n
Step-by-step explanation:
N:2 = 15:5
N\2 = 15\ 5
Now cross multiply,
5N = 30
N = 6
Answer:
n = 6Step-by-step explanation:
N:2 = 15/5 solve it for n
n : 2 = 15 : 5
n = 2 * 15 : 5
n = 30 : 5
n = 6
---------------------
check
6 : 2 = 15 : 5
3 = 3
the answer is good
Aldo rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 87 cents for each mile driven. Aldo had to pay $183.38 when he returned the truck. For how many miles did he drive the truck?
Answer:
about 198 miles
Step-by-step explanation:
183.38
- 18.95
_______
164.45 divided by .87 is 198.0229885057
What is the percent of the numbers 12% of 85
Answer:
Step-by-step explanation:
12% of 85 =x Change the % to a fraction
12/100 * 85 = x Divide 100 into 85
12 * 0.85 = x Multiply by 12
10.2 = x
Tyra's family is spending the afternoon in Millersville. They plan to see a movie and
then explore the town. The movie will cost the family $36, and parking costs $4 per
hour.
How long will the family be able to spend in Millersville if they want to spend less
than $60 and they don't have any other expenses?
Answer:
Step-by-step explanation:
Let the family spent 'x' hours in the town.
Parking cost for 'x'hours = 4*x = 4x
Now the total amount = Cost of the movie ticket + parking cost
= 36 + 4x
Total cost should be less than $ 60
36 + 4x < 60
Subtract 36 from both sides
4x < 60 - 36
4x < 24
Divide both sides by 4
x < 24/4
x < 6
The family can spend less than 6 hours in the town.
One year the population of the city was 117000 serval years later it was 136,90 find the percent increase
Answer:
17%
Step-by-step explanation:
The initial value was 117,000
the final value was 136,900 i assume and not 136,90 like you had typed.
NEED HELP ASAP 100 POINTS AND WILL GIVE BRAINLIEST!!!
Answer:
area of a deck
A= External area - Internal area
A = length x width
A = ( 44ft x 28ft) - ( 32ft x 16ft)
A = 720ft²
79 5/6% as a fraction
Can you rephrase the question so I can better understand cause
5/6 is already a fraction as in 5 over 6 so I'm not sure how to answer
Ian owns a small business selling used books. He knows that in the last week 19
customers paid cash, 30 customers used a debit card, and 77 customers used a credit
card.
If next week, he is expecting 1800 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.
Step-by-step explanation:
last week there were 19+30+77 = 126 customers.
19/126 = 1/14 paid cash.
30/126 = 5/21 paid by debit card.
77/126 = 11/18 paid by credit card.
next week he expects 1800 customers.
that is compared to 126 a factor of
1800/126 = 300/21 = 100/7
now we actually only need to apply the same factor to any part of the total sum to get their share in the new total sum.
it simply follows the rule
(a + b + c) × d = ad + bd + cd
so,
77 × 100/7 = 11 × 100 = 1100 customers are expected to pay per credit card.
If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, find P(A AND B).
Answer:
= 0.25
Step-by-step explanation:
p (A)= 0.4
P (B)= 0.6
P (A and B) = P (A) × P (B)
= ( 0.4 × 0.6 )
= 0.25
Draw line segment PT so that it divides OPQ into two smaller parts
A rock has a mass of 1,400 pounds. What is the mass of the rock in ounces? How many tons?
A. The mass of the rock in ounce is 22400 ounce.
B. The mass of the rock in ton is 0.7 ton
Conversion scale 1 pound = 16 ounce1 pound = 0.0005 tonA. How to determine the mass in ounce Mass (in pound) = 1400 poundMass (in ounce) =?1 pound = 16 ounce
Therefore,
1400 pound =1400 × 16
1400 pound = 22400 ounce
B. How to determine the mass in ton Mass (in pound) = 1400 poundMass (in ton) =?1 pound = 0.0005 ton
Therefore,
1400 pound =1400 × 0.0005
1400 pound = 0.7 ton
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‼️‼️help me quick pls On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 120° Which statements about this triangle are true? Select all correct answers O The third angle measures 75' The third angle measures 90 All sides have different lengths Two sides have the same length. The third angle measures 30”.
The third angle measures 30° and two sides have the same length.
What is a triangle?A triangle is a polygon with three sides and three angles. The angles in a triangle sum up to 180°.
Types of triangles are scalene, isosceles, equilateral and right angled triangle.
Let x represent the third angle of a triangle with angle measures of 30° and 120°. Hence:
x + 120 + 30 = 180° (sum of angles in a triangle)
x = 30°
Since two angles are the same, hence two sides have the same length.
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Answer:
x = 30°
Step-by-step explanation:
Let x represent the third angle of a triangle with angle measures of 30° and 120°. Hence:
x + 120 + 30 = 180° (sum of angles in a triangle)
Since two angles are the same, two sides have the same length.
please help me please
Answer:
24.123
Step-by-step explanation:
Simplify 6.7 + 3 to 9.7
9.7 + 9.863 + 4.56
Simplify 9.7 + 9.863 to 19.563
19.563 + 4.56
Simplify
24.123
Ben says the measure of the angle is
50
°
, but Jeff says it is
130
°
.
Who is correct, Ben or Jeff? Explain your reasoning for your answer.
Answer:
Ben
Step-by-step explanation:
Ben is correct. because you have to start 0° from right hand side.
When coverting centimeters to inches,do you multiply or divide by 2.54?Explain. If someone Explains and gets it correct tell me and i will make a question called i eat apple pie and i give them 85 points
Answer:
Divide by 2.54
Step-by-step explanation:
Because a centimeter is smaller than an inch, you have to divide by 2.54 when converting from cm to inches.