Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
[tex]solve for x if 4 x+1-9(2 ^{2} +2=0[/tex]
Answer:
mark my answer as the brainliest
Step-by-step explanation:
x = 53/4
Answer:
4×+1-9 (2^)+2)=0
4×+1-9 (4+2)=0
4×+1(-36-18)=0
4×+1 (-54)=0
4×-54=0
4×=54
×=54÷4
×=13.5
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters. The difference in price between the mower at Turf Cutters and Lawn Masters is $320. Which system of equations can be used to determine the price of the mower at each store? A. t - 2d = -240 t - d = 320 B. 2t - 2d = 240 t + d = 320 C. 2t - d = 240 t - d = -320 D. t - 2d = -240 t - d = -320
Answer: A. t - 2d = -240 t - d = 320
Step-by-step explanation:
Let t be the price of a lawn mower at Turf Cutters and d be the price of the same lawn mower at Lawn Masters.
As per given , we have
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.
[tex]2d-240=t\\\\\Rightarrow\ t-2d=-240 ...(i)[/tex]
The difference in price between the mower at Turf Cutters and Lawn Masters is $320.
[tex]t-d=320 ...(ii)[/tex]
So, the system of equations can be used to determine the price of the mower at each store is
[tex]t-2d=-240\\\\t-d=320[/tex]
Hence, the correct option is "A."
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $35.25 and did provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 35.25 B) 5.5 w - 3.25 = 35.25 C) 5.5 w = 35.25 D) 5.5 - 3.25 w = 35.25
Answer: D is correct if it is really (5.5-3.25)w=35.25
(Without parenthesis it doesn't work)
Answer:
B) 5.5 w - 3.25 = 35.25
Step-by-step explanation:
Chad charges $5.50 per window. ( 5.50w )
Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)
The customer would be charged $35.25 at the end. ( = 35.25 )
So, the total of the cost of the windows minus the discount would be $35.25.
5.50w - 3.25 = 35.25
Option B's equation would be most appropriate to solve for w.
How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution
Answer:
A. No Solution
Step-by-step explanation:
To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution
Answer:
A. No solution
Step-by-step explanation:
-7x - 10 - 15x = -22x + 83
-22x - 10 = -22x + 83
0 = 93
Zero doesn't equal to 93, so there are no solutions.
please I need help please
Answer:
x=25
Step-by-step explanation:
To find x (hypotenuse), it is a^2+b^2=c^2
24^2+7^2=625
[tex]\sqrt{625}[/tex]=25
x=25
Hope this helps!!
two fifths of a number equals 564. what is the number
Answer:
1410
Step by step explanation:
2/5x=564
5/2*2/5x=564*5/2
x=1410
Proof: 2/5*1410=564
Hope it helps <3
Answer:
1410
Step-by-step explanation:
2/9 converted into decimal rounded to the nearest hundreth
Answer:
0.22
Step-by-step explanation:
2/9 as a decimal is 0.22222222
This number rounded off to its nearest hundredth is 0.22
Hope it helped
Answer:
[tex]\boxed{\sf 0.22}[/tex]
Step-by-step explanation:
[tex]\sf \frac{2}{9} =0.2222222222222222...[/tex]
[tex]\sf Round \ to \ nearest \ hundredth.[/tex]
[tex]\sf \frac{2}{9} \approx 0.22[/tex]
Help please and thank you >:D
Answer:
E. 4 shifts
Step-by-step explanation:
L.C.M. of 18 and 24
18=2×3×3
24=2×2×2×3
L.C.M.=2×2×2×3×3=72
so after 72 hours time will be same
or 72/18=4 shifts
what is the line of symmetry for the parabola whose equation is y=-x^2-x+2
Answer:
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Step-by-step explanation:
Hello,
We need to express this parabola using this kind of expression
[tex]y=a(x-b)^2+c[/tex]
and then, the line of symmetry will be the line x = b
Let's do it !
[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]
So the line of symmetry is
[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
PLEASE HELP!!!! FAST THANK YOU FOR YOUR HELP!!!
With steps please!
Answer:
The nearest whole number you need to round to is: $3,094.00
Step-by-step explanation:
If Ava deposited the $400.00, which is four-hundred dollars and zero cents each month for here monthly deposits each month, then she would have to have 3.35% compound which is three point thirty-five percent compound price times the number of her monthly deposit of four-hundred dollars and zero cents which is $400.00 she would get the result that $3,094.00 which is three-thousand, ninety-four dollars and zero cents, which is the answer because if you round it with $1,250.00 which is one-thousand, two-hundred and fifty dollars and zero cents then it doesn't work out. So in the end, it would be: $3,094.00!
Solve : 3x + 9 < 4(x-5) -x + 3 + 2x
Answer:
x > 13Step-by-step explanation: I tried to work it out well.
I Hope it helps:)
[tex]3x + 9 < 4(x-5) -x + 3 + 2x\\\mathrm{Group\:like\:terms}\\3x+9<-x+2x+4\left(x-5\right)+3\\\mathrm{Add\:similar\:elements:}\:-x+2x=x\\3x+9<x+4\left(x-5\right)+3\\Expand ; x+4\left(x-5\right)+3\\=x+4x-20+3\\=5x-17\\3x+9<5x-17\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\3x+9-9<5x-17-9\\Simplify\\3x<5x-26\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\3x-5x<5x-26-5x\mathrm{Simplify}\\-2x<-26\\[/tex]
[tex]Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\\\left(-2x\right)\left(-1\right)>\left(-26\right)\left(-1\right)\\Simplify\\2x>26\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}>\frac{26}{2}\\\\x>13[/tex]
A region is said to be____if it is completely
enclosed by its constraints.
Answer:
Step-by-step explanation:
A region is said to be closed if it is completely
enclosed by its constraints
A region is said to be a closed area if it is completely enclosed by its constraints.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. For example, the space occupied by the circle in a two-dimensional plane is called the area of the circle.
The area of the circle is given by the formula below:-
Area = πr²
Where r is the radius of the circle.
Therefore, the region is said to be a closed area if it is completely enclosed by its constraints.
To know more about an area follow
https://brainly.com/question/25292087
#SPJ2
Use the diagram to answer the question. Triangle A B C. Segment B C measures 13. Segment A C measures 15. Angle B is a right angle. What is the measure of ∠A?
Answer:
angle A= 59.997
Step-by-step explanation:
SinA=13/15
sinA=0.866
A=inverse sin (0.866)
A=59.997
What is the absolute value of -47
Answer:
47
Step-by-step explanation:
If a number x < 0, |x| = -x, in this case, x = -47, therefore |-47| = -(-47) = 47.
Please help me ASAP!
Which of the following equations is quadratic?
( x + 3)( x + 4) = 5
5(4 x + 2) = 3
x( x∧2 + 1) = 0
Answer:
( x + 3)( x + 4) = 5
Step-by-step explanation:
A quadratic equation is an equation with the highest power of the variable to the power of 2
( x + 3)( x + 4) = 5
The highest power is x^2 +3x+4x+12 =5 is x^2
Quadratic
5(4 x + 2) = 3
20x + 10 =3
linear
x( x∧2 + 1) = 0
x^3 +x =0
Cubic
Answer:
[tex]( x + 3)( x + 4) = 5[/tex]
Step-by-step explanation:
First of all: What is a quadratic equation?
A quadratic equation is a second-degree polynomial. It means that the highest exponent must be 2.
[tex]( x + 3)( x + 4) = 5[/tex]
Using FOIL
[tex]x^2+4x+3x+12=5[/tex]
[tex]x^2+7x+7=0[/tex]
We got the answer. But just expanding the other equations given:
[tex]5(4 x + 2) = 3[/tex]
[tex]20x+10=3[/tex]
[tex]20x+7=0[/tex]
This one is a linear equation
In this case, actually there's a typo mistake, but it still understandable.
The symbol used is the logical symbol meaning AND (∧)
Of course, you meant [tex]x^2[/tex]
[tex]x(x^2+1)=0[/tex]
[tex]x^3+x=0[/tex]
This one is a cubic equation or third-degree polynomial
You have 4 lollipops in your hand and this is 1/4 of the packet. How many lollipops were in the whole packet?
Answer:
16 lollipops
Step-by-step explanation:
4 is 1/4 so multiply 4 by 4
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 delivery fee and $ 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P PP represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario? Choose 1 answer: (Choice A,) 7.50 + 14 P < 60 (Choice B) 7.50 + 14 P > 60 (Choice C) 14 + 7.50 P < 60 (Choice D) 14 + 7.50 P > 60 2) What is the largest number of slices that Jacque can afford?
Answer: Choice A
Step-by-step explanation:
She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.
Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford
Choice 1 which is ;
Choice 1 which is ;7.50 + 14 P < 60Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza
First,
Since the restaurant charges a fixed $ 7.50 for delivery and charges $ 14 per pizza.and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60The inequality which describes the scenario is :
Choice 1 which is ;
7.50 + 14 P < 60And to determine the largest number of slices that Jacque can afford, we have to solve for P first.
Therefore, 14P < 60 - 7.50P = 52.50/14P = 3.75Therefore, Jacque can only buy 3.75 pizzasHowever, the question requires that we determine how many slices she can afford to buy,
Since each pizza is cut into 8 slicesJacque can afford to buy 3.75 × 8 slices of pizza.
Jacque can afford to buy 30slices of pizza
Read more:
https://brainly.com/question/19003099
TIMED!!! Explain how solving -7y > 161 is different from solving 7y > -161.
Answer:
Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>
Step-by-step explanation:
There were 3 bands that
performed at the talent show.
What percent of the 16 group acts
were band performances?
Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
Charley sold 12 fruit baskets fir the school fund raiser. Maria sold 15 and Paul sold 18. If each fruit basket cost $18, how much money did they raise altogether
Answer:
$810 total raised
Step-by-step explanation:
Charley:
12 * $18 = $216
Maria:
15 * $18 = $270
Paul:
18 * $18 = $324
Total:
$324 + $270 + $216 = $810
Answer:
pls appreciate my efforts by markinf my answer as the brainliest......
Step-by-step explanation:
Charley raised = 12 *18 =$216
Maria raised =15*18 = $270
Paul raised = 18*18 = $ 324
total amount raised = $ 810
The temperature at noon is -4 degrees Celsius. The temperature at 6:00 pm -12 degrees Celsius. What is the difference between noon and the 6:00 pm temperatures?
Answer: The difference in the temperatures is 8° C colder between noon and 6 pm
Step-by-step explanation: To find the difference, subtract.
-12 -(-4) = -12 +4 = -8
please help answer this question as soon as possible!
Answer:
[tex]a_{n}[/tex] = 10.5 - 3n
Step-by-step explanation:
The explicit rule for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
A recursive formula has the form
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( where d is the common difference )
Given
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3
Thus explicit rule with a₁ = 7.5 and d = - 3
[tex]a_{n}[/tex] = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n
Please help with step by step. Thank you.
Answer:
A) 90 degrees
B) 110 degrees
C) 78.5 in. sq.
D) 15.3 in. sq.
Step-by-step explanation:
A) 90 degrees by the two-tangent theorem
B) 360-90-90-70=110
C) A=pi r-squared
A=3.14x5x5
A=78.5
D) 70/360=0.1944
78.5x0.1944=15.3
helppppp mee !!!!!!!!
Answer:
f(6) = 24
Step-by-step explanation:
Simply plug the value of 6 into the equation for x.
f(x) = x^2 - 2x
f(6) = (6)^2 - 2(6)
f(6) = 36 - 12
f(6) = 24
Answer: 24
Step-by-step explanation: you can say that 6=x Wichita in this case we would substitute x for 6
6²-2*6=36-12=24
Hope this helps!
In a word game, you choose a tile from a bag, replace it, and then choose another. If there were 8 vowels and 12 consonants, what is the probability you will choose a consonant first, then a vowel
Answer:
Fraction- 12/20 or 3/5
Percentage- 60%
Decimal-0.6
Step-by-step explanation: Add 8 and 12 together and that’s your denominator and top is 12 because those are many consonants there are. So the fraction is 12/ 20 an you can simplify it. Then you can change it into a decimal and percentage.
Given: F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2
Find FG H(2)
0 121
27
071
Answer:
FG H(2) = F*G*H(2) = 0
Step-by-step explanation:
Your F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it. I believe you meant:
F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)
First find F(2): f(2) = 2(2) - 4 = 0
Because this multiplicand is zero, further multiplication will result in zero also. Thus, the final answer is zero (0).
WILL AWARD BRAINLIEST AND 30 PTS IF THERE IS A GOOD EXPLANATION. ANSWER IS NOT 243. question: In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
243 ways
Step-by-step explanation:
Fruits = 5
Bowls = 3
Remember that, There are three bowls for five fruits. So the possible outcomes are:
=> [tex]3^5 = 3*3*3*3*3 = 243[/tex] ways
Triangle A"B"C" is formed using the translation (x + 2 y + 0) and the dilation by a scale factor of from the origin. Which equation explains the relationship between AB and A"B"?
Answer:
segment a double prime b double prime = segment ab over 2
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. which equation explains the relationship between segment ab and segment a double prime b double prime?
coordinate plane with triangle ABC at A (- 3, 3), B (1, - 3), and C (- 3, -3).
segment a double prime b double prime = segment ab over 2
segment ab = segment a double prime b double prime over 2
segment ab over segment a double prime b double prime = one half
segment a double prime b double prime over segment ab = 2
Answer: If triangle ABC at A (- 3, 3), B (1, - 3), and c (- 3, -3) is translated using (x + 2, y + 0), then the new coordinates of triangle ABC would be at A'(- 3 + 2, 3), B'(1 + 2, - 3), and C'(- 3 + 2, -3) Which is A'(- 1, 3), B'(3, - 3), and C'(- 1, -3). The dilation by a scale factor of from the origin gives A″ (-1/2, 3/2), B″ (3/2, -3/2) and C″(-1/2, -3/2) = (-0.5, 1.5), B″ (1.5, -1.5) and C″(-0.5, -1.5)
The distance AB and A"B" are given as:
[tex]AB=\sqrt{(1-(-3))^2+(-3-3)^2} =\sqrt{5 2} \\\\A"B"=\sqrt{(1.5-(-0.5))^2+(-1.5-1.5)^2} =\sqrt{13}[/tex]
AB = √52 = √(4×52) = 2√13 = 2A"B"
A"B" = AB/2
Answer:
What The Other Guy Said Was Correct
Step-by-step explanation:
2 + 2 = 4
IMPORTANT! ANSWER QUESTION NOW. Will award brainliest. Find the value of x. Give reasons to justify your solution.
Answer:
48 degrees for A and 7 12 degrees for B
Step-by-step explanation:
As you can see in the first picture, C and x share the same angle and the angle is 48 degrees. On the second picture the answer is 12 because 3*4=12.
Find the area of the shaded polygon:
Answer:
6 units squared
Step-by-step explanation:
To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..
Area of entire square is 4*4=16
Now for the sections that are unfilled:
4*3/2= 6
1*1/2= 0.5
2*1 = 2
1*1 = 0.5
2*1/2 = 1
Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10
Area of filled region = 16 - 10 = 6 units squared
Hope this helped!