Answer:
x>-4
Step-by-step explanation:
I looked it up. Use Mathpapa it's really helpful and free
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
what is the sum of n=-2 and m=5
Answer:
sum=n+m=-2+5=3 is a answer
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
If a single person earns 33,200 what would his taxes be to the nearest dollar
Answer: The answer is,
$5,110
Option (B)
The tax of a single person that earns $33,200 is $5110
The earnings (E) is given as:
[tex]E = \$33,200[/tex]
From the tax table, the equation to calculate the tax of a single person within the income range $28400 to $68,799.99 is:
[tex]Tax =0.25E - 3190[/tex]
So, we have:
[tex]Tax =0.25 \times 33200 - 3190[/tex]
[tex]Tax =8300 - 3190[/tex]
Evaluate the like terms
[tex]Tax =5110[/tex]
Hence, the tax of a single person that earns $33,200 is $5110
Read more about income tax at:
https://brainly.com/question/1775528
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.
8) HELP PLEASE ILL GIVE BRAINLIEST!! Find the median of the set of data.(Remember to put the
list in numerical order)
10, 15, 8, 1, 3, 10, 6, 3
a. 7
b. 10
c. 4.5
d. 9
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]
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
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.
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.
Which is greater 1/4 or .25
Answer:
they are both the same equal
Step-by-step explanation:
can i get brainliest
Find the solution set of this inequality 2x+4<6
Based on your image, I will assume u meant: [tex]|2x+4| \leq 6[/tex]
This means that x will have two solution sets, due to the absolute value.
[tex]-5\leq x\leq 1[/tex]
Please help ! I’ll mark you as brainliest if correct
Answer:
a
Step-by-step explanation:
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.
For every 6 trucks there are 10 cars parked in the commuter lot. If there are 25
cars parked in the lot, how many trucks are there?
Answer:
15
Step-by-step explanation:
The ratio of trucks to cars is 6x/10. And in the problem it says that there are 25 cars. So, 10x = 25, x = 5/2. Then, 6x = 15
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:
(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:
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
Draw a picture of the base and label the dimensions 140 17ft 4t Shape of the base Formula for area Perimeter of the base (P)= Area of the base (B) = height of the prism (h)=
Answer:sorry but i can't help you i got work okay.
Step-by-step explanation:
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
What is the least common multiple of the two denominators
6/8 , 4/32
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.
How many solutions does the equation −4y + 4y + 2 = 2 have? (1 point) a Two b None c One d Infinitely many
Answer:
Infinity
Step-by-step explanation:
-4y + 4y + 2 = 2
2 = 2 = always true
Answer:
The answer is Infinitely many
Step-by-step explanation:
Which function best fits following points?
ABC~DEF. ABC has a perimeter of 18 and a leg of 5. The base of DEF is 34.4. What is the perimeter of DEF.
Answer:
DEF =77.4 inches I attached an answer sheet so you can know how to work out the problem
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:
:)
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 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:
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]
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: