Answer:
15.75 is 6.3% of 250.
Formula:
[Percentage] x [Number Given] = [New number]
integrate the following by parts |x^2 e^2x dx
Answer:
The answer is shown in the picture. you basically have to do integration by parts 2 times to get final answer.
1) For x2 + 35x - 36 = (x + 2)(x + _), the operation signs of the factors are:
Step-by-step explanation:
please make it a little bit clear
12y – 2x = 12
slope intercept form
Answer:
Step-by-step explanation:
12y = 2x + 12
y = 2/12x + 12/12
y = 1/6x + 1
The slope intercept form is y = (1/6)x + 1.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
12y - 2x = 12
The slope intercept form is y = mx + c.
So,
12y - 2x = 12
Add 2x on both sides.
12y = 12 + 2x
12y = 2x + 12
Divide both sides with 12.
y = (2/12)x + (12/12)
y = (1/6)x + 1
Thus,
The slope intercept form is y = (1/6)x + 1.
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Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.
Are physical activities becoming safer or more dangerous
The mean amount of money Sadie saves each month is $10,724.29.
What is the mean amount of money saved each month?
Mean is a measure of central tendency that is used to determine the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(10150 + 102211 + 10424 + 10769 + 11155 + 11477) / 7 = $10,724.29.
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The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Answer:
no idea
is the answer
if you like my answer please like comment and mark me as brilliant
Given f(X)= x+3/x^2+2x-3 and g(x)=log4X, evaluate (g-f)(2)
Answer:
-1/2 is correct
Step-by-step explanation:
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]. To evaluate the expression (g - f)(2), you need to first find the values of g(2) and f(2), and then subtract f(2) from g(2).
Given:
[tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \) \\ \( g(x) = \log_4(x) \)[/tex]
Let's start by calculating the values of f(2) and g(2): 1. [tex]\( f(x) = \frac{x + 3}{x^2 + 2x - 3} \)[/tex]
Substitute (x = 2): [tex]\( f(2) = \frac{2 + 3}{2^2 + 2 \cdot 2 - 3} = \frac{5}{7} \)[/tex]
2. [tex]\( g(x) = \log_4(x) \)[/tex] Substitute ( x = 2): [tex]\( g(2) = \log_4(2) \)[/tex]
Now, evaluate the expression [tex]\( (g - f)(2) \):[/tex]
[tex]\( (g - f)(2) = g(2) - f(2) = \log_4(2) - \frac{5}{7} \)[/tex]
To determine which option matches this value, calculate [tex]\( \log_4(2)[/tex]) and subtract [tex]\( \frac{5}{7} \)[/tex] from it.
Approximately,[tex]\( \log_4(2) \)[/tex] is around 0.5.
So, [tex]\( (g - f)(2) \approx 0.5 - \frac{5}{7} \)[/tex]. To compare this result with the options provided, convert the fractions to a common denominator:
[tex]\( \frac{5}{7} = \frac{35}{49} \)[/tex]. So, [tex]\( (g - f)(2) \approx 0.5 - \frac{35}{49} \)[/tex].
Now, simplify the subtraction: [tex]\( 0.5 - \frac{35}{49} = \frac{24}{49} \)[/tex]
Among the given options, option C [tex](\( \frac{1}{2} \))[/tex] is the closest to [tex]\( \frac{24}{49} \)[/tex]. Therefore, the answer is: C. [tex]\( \frac{1}{2} \)[/tex]
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Help pls!!!!!!!!!! :<<<<
The answer to this question is D 2/4
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
What is the equation for the graph shown?
Answer:
[tex]y = \frac{2}{3}x + 4[/tex]
Step-by-step explanation:
The rule for graphs is:
[tex]y = mx + c[/tex]
Where [tex]m[/tex] is the gradient and [tex]c[/tex] is the y-intercept (where the line crosses the y-axis)
We can work out c by looking at our graph.
Our line crosses the y-axis at (0, 4). So... [tex]c=4[/tex]
To work out our gradient of a straight line (which is what we have)
We use the formula:
[tex]m = \frac{\triangle y}{\triangle x}[/tex]
The triangle [tex]\triangle[/tex] just means the "change in" the coordinates between any two points.
To calculate the change in y, we can pick any two points on our line!
Let's go for (0, 4) and (-6, 0)
To work out the gradient:
[tex]m = \frac{\triangle y}{\triangle x} = \frac{0 - 4}{-6 - 0} = \frac{-4}{-6} = \frac{4}{6} = \frac{2}{3}[/tex]
Using our formula
[tex]y = mx + c[/tex]
[tex]y = \frac{2}{3}x + 4[/tex]
show work. A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 59 ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn?
Step-by-step explanation:
oh that is again something you can nicely envision :
the inner circle has a radius of 59 ft.
so, because of the 2 ft wide track the outer circle has a radius of 59+2 = 61 ft.
the circumference of a circle is
2×pi×r
the answer to the question is simply the difference bergen the 2 circumference values.
inner circle :
2×pi×59 = 118pi
outer circle :
2×pi×61 = 122pi
the difference is
122pi - 118pi = 4pi = 12.56637061... ft ≈ 12.6 ft
the wheel on the outer track travels about 12.6 ft farther than a wheel on the inner track in one full turn.
Tory is going to the fair with four of her friends. The entrance fee per person is $7.50. They plan to go together on all the rides. The cost of each ride is $3.00. Write an expression to represent the cost of the group to go to the fair for any number of rides.
Answer:
$37.5+$3r
Step-by-step explanation:
We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).
We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.
Then, you can add it which is $37.5+$3r
Is 5/2 to the right of number 1 on number line?
Answer:
Yes;
Step-by-step explanation:
5/2 = 2 1/2
2 1/2 > 1
Yes, 5/2 is to the right of 1 on a number line.
PLSSS ANSWER
[tex]\sqrt{28-3(4)}[/tex]
Answer:
[tex]\boxed{\sf{4}}[/tex]Step-by-step explanation:
Use the order of operations to solve this problem.
[tex]\Longrightarrow: \sf{\sqrt{28-3(4)} }[/tex]
Remove parentheses.
→ (4)=4
Rewrite the problem down.
[tex]\Longrightarrow:\sf{\sqrt{28-3*4} }[/tex]
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract→ 28-3*4
Multiply.
→ 3*4=12
→ 28-12
Subtract.
→ 28-12=16
[tex]\Longrightarrow:\sf{\sqrt{16} }[/tex]
[tex]\Longrightarrow\sf{\sqrt{16}=4^2 }[/tex]
Use the radical rule.
[tex]\Longrightarrow: \sf{4^2=\boxed{\sf{4}}[/tex]
Therefore, the correct answer is 4.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
[tex]\±4[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{28 - 3(4)}[/tex]
Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:
[tex]\implies\sqrt{28 - 3(4)}[/tex][tex]\implies\sqrt{28 - 12}[/tex][tex]\implies\sqrt{16}[/tex]Usually, [tex]\sqrt{16}[/tex] can also be written as [tex]\sqrt[2]{16}[/tex]. Therefore:
[tex]\implies\sqrt[2]{16} = \sqrt[2]{4 \times 4} = \± 4[/tex]Therefore, the simplified expression is ±4.
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These diagrams show the dimensions of two different windows. Which of the following statements are true? Choose all that apply.
Window A
3 ft
8 ft
Window
B
4 ft
6 ft
O A. The windows have the same area.
B. The perimeter of Window A is less than the perimeter of Window B.
C. The perimeter of Window B is 20 feet.
OD. The area of Window A is 22 square feet.
equivalent (x+ 4)(2r - 1)
Answer:
Step-by-step explanation:
r (2 x + 8) - x - 4
(2 r - 1) x + 8 r - 4
A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?
44 cm
70 cm
34 cm
17 cm
Answer:
34 cm
Step-by-step explanation:
Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.
Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.
⇒ Perimeter of rectangle = L + S + L + S
⇒ Perimeter of rectangle = 2(L) + 2(S)
⇒ Perimeter of rectangle = 2(L + S)
Now, let's substitute the length and the width in the perimeter and simplify.
⇒ Perimeter of rectangle = 2(10 + 7) [L = 10; S = 7]
⇒ Perimeter of rectangle = 2(17)
⇒ Perimeter of rectangle = 34 cm
Answer: 70 cm
Step-by-step explanation: 10 x 7 = 70
hope this helps
Suppose that you have been hired at an annual salary of $16,000 and expect to receive annual increase of 3%. What will your salary be when you begin your sixth year?
well, at the beginning of the 6th year, you've been there for 5 whole years, so you've gotten 5 increases hmmm
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &16000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=16000(1 + 0.03)^{5}\implies A=16000(1.03)^5\implies A\approx 18548.39[/tex]
circle the possible values that satisfy each inequality!
Answer:
25
Step-by-step explanation:
5 > x/5
5 × 5 > (x/5) × 5
25 > x
You spin the spinner once.
234567
What is P(6)?
Write your answer as a fraction
or whole number.
Helps pls i did 120 questions
Answer:
1/6
Step-by-step explanation:
There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.
Therefore, the answer is 1/6
Evaluate lim x²-1 x/x^2+3x-4
Nandyan na po
Step-by-step explanation:
I hope I helpEnter a recursive rule for the geometric sequence.
3, - 12, 48, - 192, ..
Start at 3 and multiply by -4 each time.
The amount of work to move a chair to the living room is equal to 10 joules. How much work would it be to move the same chair using a simple machine?
The work done by the machine is the product of force and distance
The amount of work done by the machine is 10 joules
How to determine the amount of work?The amount of work done is calculated using:
W = Fd
Where:
F represents the forced represents the distanceThe distance moved to the living room is the same when you move the chair or a machine does is the same.
Also, if the force applied in moving the chair remains unchanged, the amount of work done would be the same.
Hence, the amount of work done by the machine is 10 joules
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CO
8
6
4
N
Which function is graphed?
46
8
N
-8 -6 -4 -20
-2
-4
-6
-8
O A. y- *#4x23
[+ ,
1-x+4,52
What is the least common denominator of 7/10 and 4/5?
Answer:
10
Step-by-step explanation:
The least common denominator can be found by finding the LCM of the 2 denominators:
First let's list the multiples of the first denominator :
10,20,30,40,50
Now let's list the multiples of the second denominator :
5,10,15,20,25
As we can see the lowest number that appears in both lists is 10.
Therefore 10 is the least common denominator.
I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)
the ratio of the sides of a certain triangle is 2:7:8 if the longest side of the triangle is 40cm how long are the other two sides
The length of the other two sides is 10 and 35 respectively.
What is a ratio?A ratio is a quantitative relation showing the comparison between two or more numbers. It can also be written in the fractional form where the first part is the numerator and the second part is called the denominator.
From the given information:
The sides of the triangle = 2:7:8The total sides of the triangle = 2+7+8 = 17We are being told that the longest side is the triangle is equal to 40.
i.e.
[tex]\mathbf{\to\dfrac{8}{17}\times x = 40}[/tex]
[tex]\mathbf{x = 40 \div \dfrac{8}{17}}[/tex]
[tex]\mathbf{x = 40 \times \dfrac{17}{8}}[/tex]
x = 85
Now for the other two sides 2 and 7, their length is as follows.
[tex]\mathbf{\dfrac{2}{17}\times 85 = 10}[/tex]
[tex]\mathbf{\dfrac{7}{17}\times 85 = 35}[/tex]
Therefore, we can conclude that the length of the other two sides is 10 and 35 respectively.
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find the MAD of 0, 2, 4, 4, 6, 8, 8, 12
Answer:
Mean Absolute Deviation (MAD): 3
Step-by-step explanation:
How to graph (x-2)(y-3)=0
Step-by-step explanation:
here you want to isolate the y.
so what you do in the beginning is divide both sides by x-2.
then, you'll have y-3 = 0
so y = 3
this is a horizontal graph that crosses the y axis and y = 3.
Use the given information about angles ABC and DBC to solve for x and the measures of each of the angles. ABC andDBC are supplementary angles. mABC = 3x + 19 and mDBC = 7x - 9. Solve for x and the measures ofABC andDBC. Complete your work in the space provided. Include your calculations and the steps necessary to solve for the measures ofABC andDBC.
Answer:
Below in bold.
Step-by-step explanation:
Supplementary angles add up to 180 dgrees, so we have the equation:
3x + 19 + 7x - 9 = 180
10x + 10 = 180
10x = 180 - 10
10x = 170
x = 17.
So m <ABC = 3(17) + 19 = 70 degrees
and m < DBC = 7(17) - 9 = 110 degrees.
Answer:
3x + 19+7x-9=180
10x+10=180
10x=180-10
10x=170
x =17
[50 points]
P(AB) = P(An B)/P(B)
Freshmen
Sophomores
Juniors
Seniors
Boys
3
1
4
2
Girls
7
9
5
1
P(Boy|Sophomore) =
Answer:
[tex]\sf \dfrac{1}{10}[/tex]
Step-by-step explanation:
From the table:
Total number of Sophomores = 10Total number of students = 37Total number of Boys who are Sophomores = 1[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(Sophomore)=\dfrac{10}{37}[/tex]
[tex]\sf \implies P(Boy \cap Sophomore)=\dfrac{1}{37}[/tex]
[tex]\begin{aligned}\sf P(Boy | Sophomore) & = \sf\dfrac{P(Boy \cap Sophomore)}{P(Sophomore)}\\\\ & = \sf \dfrac{1}{37} \div \dfrac{10}{37}\\\\ & = \sf\dfrac{1}{37} \times\dfrac{37}{10}\\\\ & = \sf\dfrac{1}{10}\end{aligned}[/tex]
Answer:
1/10
Explanation:
Given Boy Sophomores: 1
Given Total Boy: 3 + 1 + 4 + 2 = 10
So
⇒ P(Boy|Sophomore)
⇒ Boy Sophomore/Total Boy
⇒ 1/10
