Answer:
42.9
Step-by-step explanation:
Remember your decimal rules when doing long division
How many did he clear the first day
Answer:25 yards on the first day.In numerals:XXV
Step-by-step explanation:its pretty simple he cleared the same amount for the first five days.Then 8 more on the sixth.So since 133 in total subtract 8 and divide by 5.133-8=125/5=25 25 yards.
(2a -36)
[tex](2a - {36)}^{2} [/tex]
Two triangles are created by the points below use each of the triangles to determine the slope of the line on the graph what is the slope
Jason wants to eam money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns?
Answer:
$90 profit
Step-by-step explanation:
204 students went on a field trip. Four buses were filled and 8 students traveled in cars. How many students were on each bus?
Answer:
49
Step-by-step explanation:
204-8=196 in buses
each bus= 196÷4=49
find the x- and y- intercepts of the following: 10x-4y=-20
Answer:
y-intercept=5
x-intercept=-2
Step-by-step explanation:
To find the y intercept, plug in 0 for x. So you get 10(0)-4y=-20. Simplify, and clear out the negatives on both sides because they cancel each other out. 4y=20 would be your final equation. y=5.
To find the x intercept, you plug in 0 for y this time. The equation is 10x-4(0)=-20. Simplify to get, 10x=-20. You cannot remove the negative because there isn't a negative sign on the 10x. -20/10 is -2.
please mark brainliest it will help me a lot.
Can somebody plz help me!!
Answer:
yes yes yes yes yes yes yes
Answer:
121π square centimeters
Step-by-step explanation:
We can find the radius of the circle by taking the average of the two diameters provided. (15+7)/2=11. Then we plug that into the area of a circle equation. Area = π[tex]r^{2}[/tex] and that yields the answer.
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
Figure #1
use the smaller part of the figure with the dimensions of 1x2x3 and find the volume of that 1x2x3= 6m
find the area of the bigger part 3x6x3= 54m
54+6= 60m³
Figure #2
smaller part 2x2x7= 28m
bigger part 7x5x3= 105m
105+28= 133ft³
Answer:
v= LxWxH
3x5x2x7x5x7=7350
1x2x4x3x6x3=432
What is the surface area please help I will mark brainliest
Answer:
292.5 square cm
Step-by-step explanation:
13 x 9 / 2 = 58.5 x 5 = 292.5 square cm
Hope that helps!
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x) sin(x) dx
Answer:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Required
Evaluate
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Rewrite as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {cos(x)\ sin(x)\ sin(2x)} \, dx[/tex]
In trigonometry:
[tex]sin(2x) = 2\ sin(x)\ cos(x)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2x) = \frac{2\ sin(x)\ cos(x) }{2}[/tex]
[tex]\frac{1}{2}sin(2x) = sin(x)\ cos(x)[/tex]
[tex]\frac{1}{2}sin(2x) = cos(x)\ sin(x)[/tex]
Substitute [tex]\frac{1}{2}sin(2x)[/tex] for [tex]cos(x)\ sin(x)[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin(2x)\ sin(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin^2(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, dx[/tex]
Let [tex]u = 2x[/tex]
Differentiate:
[tex]du = 2 \ dx[/tex]
Make [tex]dx[/tex] the subject
[tex]dx = \frac{1}{2}du[/tex]
Substitute [tex]\frac{1}{2}du[/tex] for [tex]dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, \frac{1}{2}du[/tex]
Substitute 2x for u
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(u)} \, \frac{1}{2}du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}*\frac{1}{2}\int\limits {sin^2(u)} \, du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
At this point, we apply the reduction formula:
Which is:
[tex]\int\limits {sin^n(u)} \, du = \frac{n-1}{2}\int\limits sin^{n-2}(u)\ du\ - \frac{cos(u)sin^{n-1}(u)}{n}\du[/tex]
Let n = 2; So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{2-2}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]sin^0(u) = 1[/tex]
So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits 1\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
Integrate 1 with respect to u
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du[/tex]
Recall that:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
So, we have:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}[ \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du][/tex]
Open bracket
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}u - \frac{cos(u)sin(u)}{8}[/tex]
Recall that: [tex]u = 2x[/tex] and [tex]du = 2 \ dx[/tex] [tex]dx = \frac{1}{2}du[/tex]
So, the expression becomes:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}2x - \frac{cos(2x)sin(2x)}{8}[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8}[/tex]
Add constant c
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex]
----------------------------------------------------------------------------------------
In trigonometry:
[tex]sin(2\theta) = 2sin(\theta)cos(\theta)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2\theta) = \frac{2sin(\theta)cos(\theta)}{2}[/tex]
[tex]\frac{1}{2}sin(2\theta) = sin(\theta)cos(\theta)[/tex]
Replace 2x with [tex]\theta[/tex]
[tex]\frac{1}{2}sin(2*2x) = sin(2x)cos(2x)[/tex]
[tex]\frac{1}{2}sin(4x) = sin(2x)cos(2x)[/tex]
----------------------------------------------------------------------------------------
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex] becomes
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{2*8} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{16} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{x}{4} - \frac{sin(4x)}{16} +c[/tex]
The solution can be further simplified as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
How do you find the area of a rectangle with a base of 10 and a height of 2 1/2?
Answer:
The area would be 25.
Step-by-step explanation:
The formula for area is base × height.
2 [tex]\frac{1}{2}[/tex] × 10 = 25
Find the number of solutions of the equation 9h^2 - 12h + 4 = 0 by using the discriminant.
Answer:
Step-by-step explanation:
H=2/3
Answer:
one real solution
Step-by-step explanation:
:)
You have 18 pencils.
Seven pencils fit in a pencil case.
How many cases do you need to hold all of your pencils?
Answer:
you need three pencil cases to hold all of your pencil
Answer:
3
Step-by-step explanation:
18 = 7 +7 + 4
Since each box can carry 7 pencils, we need three to hold all of them.
Hope this helps!!
Please help ! I’ll mark you as brainliest if correct
Answer:
a
Step-by-step explanation:
What is the value of the constant in the equation that relates the height and
width of this rectangle?
(10,25)
Answer:
B
Step-by-step explanation:
25/10=2.5
Answer:
2.5
Step-by-step explanation:
A self-serve frozen yogurt store sells servings up to 12 ounces. It charges $0.50 per ounce for a serving between 0 and 8 ounces, and $4 for any serving greater than 8 ounces and up to 12 ounces.
Answer:The answer is graph B.
Step-by-step explanation: It keeps going up at 0.50 because that is the price PER OUNCE for a serving between 0-8 ounces. The line on the graph is going straight at 4 because that is the price for ANY SERVING over 8 ounces/up to 12 ounces.
What is the least common multiple of the two denominators
6/8 , 4/32
Find the volume of this cuboid 5cm
Answer:
125[tex]cm^{3}[/tex]
Step-by-step explanation:
5x5x5= 125
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2
If the midpoint of AB Is (5,-4) and the coordinates of Aare (10,-6), then the coordinates of B are
Answer:
Step-by-step explanation:
A(10,6), M(5, -4), B(x,y)
5 = (10+x)/2
x = 0
-4 = (6+y)/2
-8 = 6+y
y = -14
B(0, -14)
The required coordinate of B is given as (0, -2 ).
Given that,
To determine the coordinates of B, If the midpoint of AB Is (5,-4) and the coordinates of A are (10,-6).
What is the midpoint?The midpoint is that point the line whose length from both the ends of the line is equal.
Here,
We have given two coordinates one of the endpoints A of AB and the other is midpoint M i.e. A(10, -6) and M(5, -4).
Definition of midpoint says,
x = [x₁ + x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 10, x = 5 , y₁ = -6 , y = -4
now,
5 = [10 + x₂] / 2 ; -4 = [-6 + y₂] / 2
x₂ = 10 - 10 ; y₂ = -8 + 6
x₂ = 0 : y₂ = -2
Thus, the required coordinate of B is given as (0, -2 ).
Learn more about midpoints here:
brainly.com/question/28224145
#SPJ2
What is the value of 3 in the figure shown below?
E
с
4.2
4.2.
A
20
35°
62°
4.3
4.3
D
B
Answer:
[tex]35degrees[/tex]
A number squared minus fifteen times the number is equal to 16. Write the equation and give the factors.
[tex]\huge{\mathfrak{\purple{Answer}}}[/tex]
Equation: x² - 15x = 16
Factors: x = -16 and x = 1
[tex]\huge{\mathfrak{\purple{Explanation}}}[/tex]
Given
A number squared minus fifteen times the number is equal to 16.
Equation: x² - 15x = 16
Factors:
x² - 15x - 16 = 0
So,
(x - 16) (x + 1)
=> x - 16 = 0, x + 1 = 0
= x = -16 and x = 1
#HopeItHelps
Which of the points best represents the location of
5
on the number line?
8
A
B
D
+
-2
-1
0
2
C С
OD
OA
B
Answer:
B
Step-by-step explanation:
Answer:
the answer should be B
Step-by-step explanation:
Simplify: 299.081+59.26-95.32-365.195
please help out, tysm. need this asap. i’m gonna mark brainliest! thanks
Answer:
E and F
Step-by-step explanation:
✔️To eliminate the variable y, we can multiply the first equation, -x + 4y = 1 by 7 and the second equation, 8x - 7y = 42 by 4. This will leave us with the variable x alone to solve for.
✔️Alternatively, we may decide to eliminate the variable x first by multiplying the first equation, -x + 4y = 1 by 8. Both equations would be equivalent, thus when we can easily eliminate the variable x leaving us with variable y to solve for.
(4+4)÷22×2
plss someone answer hurry <3
Answer:
first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72
Step-by-step explanation:
hope this help
Answer:
0.72
Step-by-step explanation:
A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?
C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.
Which function best fits following points?
11 - m = 51 - 6m solve for m
Answer:
m = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which is greater 1/4 or .25
Answer:
they are both the same equal
Step-by-step explanation:
can i get brainliest