Answers
Answer:
Step-by-step explanation:
If you use the Puythagorean Theorem, you know that 3^2+3.75^2=X^2 (with X being the hypotenuse)
Then, you simplify and add. you should get 23.0625=X^2
After that you √ (square root) both of them and you get 4.80234318=X
Related Questions
what is the answer to 1\2÷3
Answers
Answer:
1/6
Step-by-step explanation:
1/2÷3
1/2×1/3
1×1/2×3
1/2×3
1/6
what are the steps on finding common denominators. PLEASE HELP
Answers
Step-by-step explanation:
to find a common denominator, you have to find a number that "works" with every other number.
for example, say you have
2/4 and 8/12
First you need to find the common factor between 4 and 12, so list all your fours
4, 8, 12, 16, 20
Now list all your twelves
12, 24, 36, 48, 60
to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.
So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.
now think about what you would multiply 4 by, to get to 12. The answer is
4 x 3 = 12
to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6
now you have your answer,
2/4 and 8/12 turns into
6/12 and 8/12
and that's how you find it, let me know if you have questions :)
What is the resulting integral?
Answers
Answer:
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Integration Constant C
U-Substitution
U-SolveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]
Step 2: Identify Variables
Find the variables u-solve using u-substitution.
U-Substitution
[tex]\displaystyle u = 1 + \sqrt{x}[/tex]
[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]
U-Solve
[tex]\displaystyle x = (u - 1)^2[/tex]
[tex]\displaystyle dx = 2\sqrt{x}du[/tex]
Step 3: Integration
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Answers
Answer:
When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).
X (1,-1) --> X' (1,1)
Y (3,4) --> Y' (-4,3)
Z (5,-1) --> Z' (1,5)
The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).
Step-by-step explanation:
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).
Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)
Find out more on Transformation at: https://brainly.com/question/26092237
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Answers
Question
( 10 + 5x )7
Lets solve this easily.
So, basically, 10 + 5x is 15 but we still didn't
get rid of the x so therefore it's still 15x and then there's 7 so we multiply 15 x 7 giving us 105x.
Hence, the answer is.
(C), 70 + 35x is the answer.
An object with a mass of 66.5 kg accelerates 22.3 m/s when
an unknown force is applied to it. What is the amount of the
force?
Answers
Answer:
Step-by-step explanation:
F=ma
F=66.5kg(22.3m/s)
F=1482.95N
Solve the following system of equations algebraically:
x2 + y2 = 20
2y = x
Answers
Answer:
x = 5
Step-by-step explanation:
x2 + y2 = 20
xy = 20 ÷ 2 ÷2
= 10 ÷ 2
x = 5
i dont know whether this is right
but hope it helps n it works
How do you find out if a number is an integer or not?
Answers
Answer:
Integers are any whole number negative or positive
Step-by-step explanation:
hello i hope you are having a nice day can somebody help me with this question thanks
Answers
Half the sum of the parallel lines,
Times the distance between them,
That is how you work out,
The area of a trapezium!
Ok, now apply the rhyme to the question!
1) Half the sum of the parallel lines - (7.5+2.5) / 2 = 5
2) Times the distance between them - 5 x 2.5 =12.5
The answer is 12.5
Answer:
12.25 un
Step-by-step explanation:
-the formula for the area of a triangle is A=(1/2)bh or Area=(1/2)×Base×Height
to find the base you need to take 7.5 and subtract 2.5 the divide in half for each base of the triangles to get 2.5 for the bases.
then take your formula and multiply:
0.5×2.5×2.5=3.125×2=6.25 and you get the area of the triangles.
then do the area of the center square which is:
2.5×2.5=6 for the center
then add:
A=6.25+6=12.25
Match each equation with its graph. y = 5x + 2, y = 3x + 3, y = 2x + 3
Answers
Answer:
Green line: y = 5x + 2
Red line: y = 3x + 3
Purple line: y = 2x + 3
Step-by-step explanation:
1) All the given equations are in slope-intercept form, or [tex]y = mx + b[/tex] format. When an equation is written in this form, the constant on the right side of the equation, or the [tex]b[/tex], represents the y-intercept. The y-intercept is the point at which the line crosses the y-axis.
Knowing this, the y-intercept of [tex]y = 5x + 2[/tex] must be (0,2). The only graph in which the line crosses the y-axis at the point (0,2) is the one with the green line, thus the graph of [tex]y = 5x + 2[/tex] is the green one.
2) Now, since the other two equations share the same y-intercept, we have two graphs left. We can find out which graph belongs to which equation by taking a look at the slope of the line. The number in place of [tex]m[/tex], or the coefficient of the x-term in an equation in slope-intercept format represents the slope. Thus, the slope of [tex]y = 3x +3[/tex] is 3 and the slope of [tex]y = 2x + 3[/tex] is 2.
Now, find the slope of one of the lines in the graphs. To do so, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of two points on the chosen line into the formula in order to figure out the line's slope. I chose to find the slope of the red line, using the points (0,3) and (-1,0):
[tex]m = \frac{(0)-(3)}{(-1)-(0)} \\m = \frac{0-3}{-1-0}\\m = \frac{-3}{-1} \\m = 3[/tex]
So, the slope of the red line is 3. Its equation must be [tex]y = 3x + 3[/tex] since it has the matching slope. By process of elimination, the purple line must have the equation of [tex]y = 2x + 3[/tex].
The Matching is:
Green line: y = 5x + 2Red line: y = 3x + 3Purple line: y = 2x + 3What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We know the slope- intercept form
y= mx+ b
where m is the slope.
For y= 5x+ 2 the slope is 5.
and, for y= 3x+ 3 the slope is 3.
and, for y= 2x+ 3 the slope is 2.
For Graph 1, the slope is 5/1= 5
and, For Graph 2, the slope is 6/2= 3
and, For Graph 3, the slope is 6/3 = 2
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
if two cards are chosen from a pack of 52 play cards at a time with replacement , what is the probability of getting one heart?
Answers
Triangle A'B'C'is the result of reflecting triangle ABC across the line l
Choose all answers that apply
a. BC and B'C' are both perpendicular to the y-axis
b. <B and <B' have the same measures
c. The perimeters of ABC and A'B'C' are the same
D. None of the above
Answers
9514 1404 393
Answer:
b, c
Step-by-step explanation:
Reflection across a line is a "rigid" transformation, so linear measures and angle measures remain unchanged. (b and c are true statements)
Reflection across a line skew to the y-axis will mean that any segment originally perpendicular to the y-axis will not be after the reflection. ('a' is not a true statement)
someone plz help no links stg
Answers
axis of symmetry: x=0
i don’t have the graph but
left x-intercept: (-3,0)
right x intercept: (3,0) (there’s two x intercepts)
the domain is the set of all real numbers
the range is -9, so i think it’s greater than?
Which of the following best describes the difference between simple and compound interest?
Simple interest is easier to calculate than compound interest.
Simple interest earns interest on the previous interest earned only.
Compound interest earns interest on the principal plus any previous interest earned.
Compound interest earns interest on the principal only.
Answers
Answer:
Compound interest earns interest on the principal plus any previous interest earned.
Step-by-step explanation:
compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest
The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Option 3 is true.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
To defined best describes the difference between simple and compound interest.
Now, We know that;
Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.
Hence, The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Learn more about the Interest visit:
https://brainly.com/question/7639734
#SPJ3
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A and B
Step-by-step explanation:
Restaurants often slip takeout menus under Rosa's apartment door. So far, Rosa has collected 15 menus, including 5 for Indian food. Considering this data, how many of the next 18 menus slipped under Rosa's door should you expect to be from Indian restaurants?
Answers
Answer:
https://e-eduanswers.com/mathematics/question21901004
Step-by-step explanation:
the answer is in that website
If another sample of size 100 is taken, what is the probability that its sample mean will
be greater than 2.56 in?
Answers
Answer:
I don't know the answer to this but
Suppose we draw a sample of size n=16 from this population and want to know how likely we are to see a sample average greater than 22, that is P( > 22)? So the probability that the sample mean will be >22 is the probability that Z is > 1.6 We use the Z table to determine this: P( > 22) = P(Z > 1.6) = 0.0548.
Step-by-step explanation:
PLS ANSWER 10 POINTS!!
Answers
Answer:
the answer is 58°
Step-by-step explanation:
90 - 32 = 58
Identifica el cuadrante en el cual se encuentra el ángulo 2.200
Answers
Answer:your
Step-by-step explanation:
mom
What is 6 less than a number t is 7?
Answers
Answer:
t-6=7
Step-by-step explanation:
Answer:
6-t=7
Step-by-step explanation:
can you help me with this
Answers
Answer:
A=168 ft²
Step-by-step explanation:
18×8=144
0.5*8*6=24
24+144=168
Where would it go I know how to do X axis but not Y
Answers
Answer: (-1,2) and (2,2) Make sure to see explanation!
Step-by-step explanation:
Well you need to remember the Y reflection rule!
To reflect over the Y axis you must do this:
Take the points in this case
(1,2) and (-2,2)
And you need to use the equation (x,y) --> (-x,y)
So the new points you NEED TO GRAPH ARE
(-1,2) and (2,2)
Hope this helped!
Answer: (-1,2) and (2,2)
Step-by-step explanation:
reflection over the y axis, take the point (x,y) and change the sign of the X-value (-x,y). When You reflect over the y-axis, the y remains the same.
point (1,2) would become (-1,2) reflected over the Y
and (-2,2) would become (2,2)
What is 70000% + 8100000
Answers
Answer:
8100700
Step-by-step explanation:
I used a calculator
Could you pls mark me brainliest I only need one more
Answer:
8100700
hop i helped look at my drawing
Step-by-step explanation:
Calculate: Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
Answers
Answer:
29
Step-by-step explanation:
P=a+b+c=11+5+13=29
Which equation describes the function in the table below?
Answers
Answer:
A
Step-by-step explanation:
So, first we have to eliminate answers, let us check A first. If we simplify this equation, it's basically saying Y is equal to 1.3 times X plus 10. So, 0 x 1.3 = 0 plus 10 = 10. Now we check the rest of the table. 5 x 1.3 = 6.5 + 10 = 16.5. 10 x 1.3 + 10 = 23. 15 x 1.3 + 10 = 29.5, and 20 x 1.3 = 26 + 10= 36. The math matches with the table so we're done.
Given: 7X/2 < 5. Choose the solution set. {x | x < 10/7} {x | x >10/7 } {x | x < 35/2} {x | x > 35/2}
Answers
Answer:
{x | x < 10/7}
Step-by-step explanation:
What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
y=1/3x-3
y=-1/3x+3
y=3x+9
y=-3x+3
Answers
Answer:
Step-by-step explanation:
the correct answer of the question is y=x/3-3 b.c
m1.m2 = -1 But m1=-3
so -3.m2=-1
-3.m2/-3=-1/-3
m2=1/3 therefore
Y=1/3x-3
(this is a practice question)
Answers
Answer:
<GHI = 135 degrees
Step-by-step explanation:
(3x + 12) + (x + 4) = 180
4x + 16 = 180
4x + 16 - 16 = 4x
180 - 16 = 164
4x = 164
4x / 4 = x
164 / 4 = 41
x = 41
3 * 41 + 12
3 * 41 = 123
123 + 12 = 135
plz help. I Need help with it
Answers
Answer:
O that easy just flip the sign for example - becomes + becomes-
this is an is simple trick I learn hope it helps you.
Step-by-step explanation:
so k goes to -3 j goes to -2
Let f(x)=−|x−3|+3 and g(x)=1/2x−3. Graph the functions in the same coordinate plane.
What are the solutions to f(x)=g(x)?
Enter your answers in the boxes from smallest to largest.
x=_ and x=_
Answers
Answer:
x = 6 and -6
Step-by-step explanation:
Answer:
the answer is: 6 and -6. hope this helps!!
Step-by-step explanation: