Answer:
Associative Property
Step-by-step explanation:
Allie, Ben, and Cliff plant ceilings in the neighborhood park. Ali plans 40% of the total number of ceiling, then place 45% of the total number of seed wings, and Cliff plans the rest of the siblings. If Cliff +84 siblings how many seedling do the three boys play together
Answer:
The number of seedlings the three boys planted together is 560 seedlings
Step-by-step explanation:
The possible information in the question are;
Percentage of the seedlings planted by Ali = 40%
Percentage of the seedling planted by Ben = 45%
The percentage of the seedling planted by Cliff = The rest of the seedling
The number of seedling planted by Cliff = 84 siblings
Therefore, the percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Given that Cliff planted 15% of the seedlings, we have;
15% of seedlings Cliff planted = 84
Let X = the total number of seedlings
15/100 × X = 0.15×X = 84
X = 84/0.15 = 560
The total number of seedlings = The number of seedlings the three boys planted together = 560 seedlings.
5. Solve the differential equation y" - 5y "+7y'-3y=0.
The differential equation
y''' - 5y'' + 7y' - 3y = 0
has characteristic equation
r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0
with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is
y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)
Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?
Answer:
35:40 = 7:8 is the equivalent ratio.
Step-by-step explanation:
35 / 5 = 7
40 / 5 = 8
=
7:8
Answer:
the equivalent ratio is 35:40 = 7:8
Step-by-step explanation:
35 divided by 5= 7
40 divided by 5= 8
=7:8
Mrs . Garrett has 24 students in her class , if 14 students are girls , what is the ratio of girls to the total number of students in her class ?
x-7[tex]\sqrt[2]{x}[/tex] +19
Answer:
Okay please complete your question:)
Step-by-step explanation:
The math problem is incomplete...
Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12
Answer:
-3x + y = 8.
3y = 9x.
Step-by-step explanation:
To find the slope of the lines we convert to slope-intercept form, which is
y = mx + c (m is the slope.)
The slope of y = 3x + 5 is therefore 3.
Parallel lines have the same slope.
Finding the slope of the given lines:
-3x + y = 8
y = 3x + 8 - slope is 3 so this is parallel to y = 3x + 5.
3y = 9x
Divide through by 3:
y = 3x - so this is also parallel to 3x + 5.
y = -jx The slope is -j so it is not parallel.
16x + 2y = 12
2y = -16x + 12
y = -8x + 6 - Not parallel.
What is the equation of a circle centered at (1,-4) and a diameter 18?
Answer:
(x - 1)² + (y + 4)² = 81
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
(h, k) is the center
2r = d
Step 1: Find r
18 = 2r
r = 9
Step 2: Plug known variables into formula
(x - 1)² + (y + 4)² = 9²
Step 3: Evaluate
(x - 1)² + (y + 4)² = 81
Answer:
(x-1)^2 + (y+4)^2 = 81
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
The center is ( 1,-4)
and the radius is d/2 = 18/2 = 9
(x-1)^2 + (y- -4)^2 = 9^2
(x-1)^2 + (y+4)^2 = 81
Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have
Answer:
48
Step-by-step explanation:
Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48
Factor the expression
Thank you so muchh
Answer:
(x+8)(x-5)
Step-by-step explanation:
x^2 +3x-40
What two numbers multiply to -40 and add to 3
8 * -5 = -40
8+-5 = 3
(x+8)(x-5)
Answer:
(x + 8)(x - 5)
Brainliest, please!
Step-by-step explanation:
(x + )(x - )
Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8
(x + 8)(x -5)
What is the radical equivalent for 197^7/8?
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
What is the value of x?
Answer:
might be 50 b cause 50+55is 105 which is the are outside the triangle
Step-by-step explanation:
hi
Answer:
To solve this problem, you can write a simple equation:
55+x=105
This equation works, thanks to the exterior angle theorem.
Solving for x, we see that it is equal to 50 degrees.
Let me know if this helps
please show me the steps to solve this
2n^2 = -144
Answer: [tex]\large \boldsymbol{} \pmb{6\sqrt{2} i}[/tex]
Step-by-step explanation:
[tex]\large \boldsymbol{} \bf i=\sqrt{-1} \\\\ 2n^2=-144 \\\\n^2=-72 \\\\n=6\sqrt{2} i[/tex]
[tex]\\ \sf\longmapsto 2n^2=-144[/tex]
[tex]\\ \sf\longmapsto n^2=\dfrac{-144}{2}[/tex]
[tex]\\ \sf\longmapsto n^2=-72[/tex]
[tex]\\ \sf\longmapsto n=\sqrt{-72}[/tex]
[tex]\\ \sf\longmapsto n=8.4i[/tex]
Write given expression in terms of x and y only. Answer the picture pls
Answer:
Step-by-step explanation:
These are really difficult, but one thing I noticed pretty much across the board is that we state our trig ratios in terms of sin and cos using the Pythagorean identity:
[tex]sin^2x+cos^2x=1[/tex], even this one where tangents are involved. Let's begin:
If tan⁻1(x) = u (this is just a substitution to make things easier down the road), then tan(u) = x
If tan⁻1(y) = v, then tan(v) = y.
If that be the case, what we have as a rewrite from our original problem is
sin(u + v) which, according to the identity is:
[tex]sin(u-v)=sin(u)cos(v)-sin(v)cos(u)[/tex] which also tells us that we need those tangents in terms of sines and cosines, as stated earlier. We will take the Pythagorean identity and solve it for both sinx and cosx. Sinx first:
If [tex]cos^2x+sin^2x=1[/tex] then solving for sin:
[tex]\frac{cos^2x}{sin^2x}+\frac{sin^2x}{sin^2x}=\frac{1}{sin^2x}[/tex] (as you can see, I just divided everything by sin-squared):
[tex]cot^2x+1=\frac{1}{sin^2x}[/tex] and
[tex]\frac{1}{tan^2x}+1=\frac{1}{sin^2x}[/tex] and work on eliminating the denominators by multiplying through by sin-squared times tan-squared:
[tex]sin^2x*tan^2x(\frac{1}{tan^2x}+1=\frac{1}{sin^2x})[/tex] which simplifies to
[tex]sin^2x+sin^2x*tan^2x=tan^2x[/tex] and factor out on the left:
[tex]sin^2x(1+tan^2x)=tan^2x[/tex] and solve for sin-squared:
[tex]sin^2x=\frac{tan^2x}{1+tan^2x}[/tex] and take the square root of both sides:
[tex]sinx=\frac{tanx}{\sqrt{1+tan^2x} }[/tex] . Do the same to solve for cos(x) to get:
[tex]cosx=\frac{1}{\sqrt{1+tan^2x} }[/tex] and now we're ready to fill in our formula for sin(u + v):
[tex]\frac{tanu}{\sqrt{1+tan^2u} }*\frac{1}{\sqrt{1+tan^2v} }[/tex] - [tex]\frac{tanv}{\sqrt{1+tan^2} }*\frac{1}{\sqrt{1+tan^2u} }[/tex] and...
since tanu = x and tanv = y:
[tex]\frac{x}{\sqrt{1+x^2}}*\frac{1}{\sqrt{1+y^2}}-\frac{y}{\sqrt{1+y^2}}*\frac{1}{\sqrt{1+x^2} }[/tex] which, in the end, simplifies to
[tex]\frac{x-y}{\sqrt{1+x^2}*\sqrt{1+y^2} }[/tex] and you're done! Yikes to that!!!!
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
What is the value of b?
Answer:
55°
Step-by-step explanation:
Perhaps you want the measure of angle B. (There is no "b" in the figure.)
That measure is half the measure of the intercepted arc:
m∠B = 110°/2 = 55°
Angle B is 55°.
2y² +4y-48=0
solve the equation
Answer:
y = - 6, y = 4
Step-by-step explanation:
Given
2y² + 4y - 48 = 0 ( divide through by 2 )
y² + 2y - 24 = 0
Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)
The factors are + 6 and - 4 , since
6 × - 4 = - 24 and 6 - 4 = + 2 , thus
(y + 6)(y - 4) = 0
Equate each factor to zero and solve for y
y + 6 = 0 ⇒ y = - 6
y - 4 = 0 ⇒ y = 4
Answer:
Step-by-step explanation:
2y² + 4y - 48 = 0
2y² + 12y - 8y + (-8)* 6 = 0
2y(y + 6) - 8(y + 6) =0
(y + 6) (2y - 8)= 0
y + 6 = 0 ; 2y- 8 = 0
y = -6 2y = 8
y = 8/2
y = 4
Solution: y = -6 , 4
Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m
Answer:
A. L = 240 m
Step-by-step explanation:
use similar triangle
L / 60 = 80 / 20
L = (80 * 60) / 20
L = 240 m
The required distance across the lake is 240 m. Hence correct option is A.
Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.
Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m
Thus, the required distance across the lake is 240 m.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ2
What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
intergrate x×(x²-3)³
Answer: [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]
Which expression is equivalent to 8f+5f?
The answer is
8f+5f
=13f
Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in
Answer:
27 inches
Step-by-step explanation:
We can use The Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
21.6 ^2 + 16.2^2 = c^2
466.56+262.44 = c^2
729 = c^2
Taking the square root of each side
sqrt(729) = sqrt(c^2)
27 = c
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
Answer:
4 hours per each room for 5 people
Step-by-step explanation:
Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.
Help ASAP!
Answer: 20 times 2 equal 40/ 40 divided by 2 is 20
Step-by-step explanation: Both of them should help you find the answer
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
60 vehicles parked on the driveway 1/4 of them were trucks. How many trucks?
Answer:
15 trucks
Step-by-step explanation:
If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.
Hope this helps!
Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.
Answer:
Step 1 should have a -2 substituted for both values.
(-3,7), (5,11) what is the slope and can u show me how u got it please
Answer:
The formula for the slope is:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Assign each given point to a variable:
(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)Substitute in the values into the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]
Therefore, the slope is 1/2.
Answer:
1/2
Step-by-step explanation:
The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{11-7}{5-(-3)}[/tex]
11 - 7 = 4
5-(-3)
5 + 3 = 8
4/8 = 1/2
The slope is 1/2.
Hope this helped.
If I get 20 pound a day how much do i make in a month
Answer:
£600
Step-by-step explanation:
1 months= 30 days
here,
money made in 1 day= £20
now,
money made in 30 days= 20×30
= 600
[:• In one month you earn £600]
Answer:560 pounds
Step-by-step explanation:
If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.
So =1 month = 28 days
=1 day = 20 pounds
So= 20 pounds × 28 = 560 pounds
In algebraic expression
The sum of a number and six, divided by eight.
Answer:
x + 6 / 8
Step-by-step explanation:
The sum of a number is the answer to addition. So that means an unknown number and 6 are being added together. Lets make this unknown number x.
x + 6
The sum of this is being divided by 8. Since we already know what division is, we can just add the line and 8.
x + 6 / 8