[tex]x > 10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides.
[tex]2.5x > 35 - 10[/tex]
2) Simplify 35 - 10 to 25.
[tex]2.5x > 25[/tex]
3) Divide both sides by 2.5.
[tex]x > \frac{25}{2.5} [/tex]
4) Simplify 25/2.5 to 10.
[tex]x > 10[/tex]
Therefor the answer is, x > 10.
cuánto es 30+30 me lo dices
Answer:
60
Step-by-step explanation:
3+3 es 6, después ponele el 0 al final
The number of students enrolled at a college is 17,000 and grows 6% each year.
Answer:
1020 new students per year.
Step-by-step explanation:
CALCULUS: Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3.
A. v(t) = sin(t) + cos(t) + 3
B. v(t) = sin(t) + cos(t) + 2
C. v(t) = sin(t) - cos(t) + 3
D. v(t) = sin(t) - cos(t) + 4
I picked A., which was marked wrong, although I truly believe that is the answer because I got sin(t) - (-cos(t)) + 3. Please tell me whether you believe this is right or am I doing something wrong. I really want to learn/master this concept. Thanks is advance.
Answer:
B. v(t) = sin(t) + cos(t) + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Function NotationCalculus
Antiderivatives - Integrals
Integration Constant C
Solving Integration Equations
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:
*Note: Remember that the velocity function is the integral of the acceleration function/acceleration is the derivative of velocity.
[tex]\displaystyle v'(t) = a(t)\\v(t) = \int {a(t)} \, dt[/tex]
Step 1: Define
a(t) = cos(t) - sin(t)
v(0) = 3
Step 2: Integrate
Set up integral: [tex]\displaystyle v(t) = \int {cos(t) - sin(t)} \, dt[/tex][integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle v(t) = \int {cos(t)} \, dt - \int {sin(t)} \, dt[/tex][Integral] Trig integration: [tex]\displaystyle v(t) = sin(t) - [-cos(t)] + C[/tex][Velocity Integration] Simplify: [tex]\displaystyle v(t) = sin(t) + cos(t) + C[/tex]Step 3: Find Function
We need to solve for the entire function, meaning we need to find constant C.
Substitute in given point [Velocity Integration]: [tex]\displaystyle v(0) = sin(0) + cos(0) + C[/tex][Velocity Integration] Substitute: [tex]\displaystyle 3 = sin(0) + cos(0) + C[/tex][Velocity Integration] Evaluate trig: [tex]\displaystyle 3 = 0 + 1 + C[/tex][Velocity Integration] Add: [tex]\displaystyle 3 = 1 + C[/tex][Velocity Integration] Isolate C [Subtraction Property of Equality]: [tex]\displaystyle 2 = C[/tex][Velocity Integration] Rewrite: [tex]\displaystyle C = 2[/tex][Velocity Function] Substitute in C [Velocity Integration]: [tex]\displaystyle v(t) = sin(t) + cos(t) + 2[/tex]Topic: Calculus
Unit: Basic Integration
Book: College Calculus 10e
what is a point-slope equation of the line with slope -12 that goes through the point (5,3)?
A. y + 3 = 12 ( x + 5)
B. y - 3 = -12 ( x -5 )
C. y - 3 = 12 ( x - 5)
D. y + 3 = -12 ( x + 5 )
Step-by-step explanation:
Equation of a straight line is given by Y=MX+C
GIVEN POINTS (5, 3) and gradient -12, therefore
in the form of y=mx+c to get the constant, it will be 3=-12(5)+c
3=-60+c
3+60=c
c=63
y=mx+c
y=-12x+63
Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Step-by-step explanation:
i think it is sponge Bob square pants
What is the slope of the line through the points (2, 5) and (6, 13)?
Answer:
Step-by-step explanation:
Rule: Y2 - Y1 / X2 - X1
m= 13-5 ÷ 6-2
=8/4 =2
Hope it helps! :D
HELP ASAP! EXPONENTIAL FUNCTIONS
Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.
Part A
Write a function for the amount that will be in the account after t years.
Part B
What is the value of the account after 8 years?
a) The function is given as follows: [tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]
b) The value of the account after 8 years is given as follows: $7,384.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameter values for this problem are given as follows:
P = 5280, r = 0.042, n = 12.
Hence the equation is given as follows:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]
The value of the account after 8 years is obtained as follows:
[tex]A(8) = 5280\left(1 + \frac{0.042}{12}\right)^{12 \times 8}[/tex]
A(8) = $7,384.
More can be learned about compound interest at https://brainly.com/question/24274034
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This is for today help!!!!
Answer:
Part A 73 Part B 113
Step-by-step explanation:
Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0
The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the roots of the quadratic equation are x= 2 + i.
The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.
A) x²-4x-5=0
Here, x=[4±√(16-20)]/2
x=[4±2i]/2
x=2±i
x=2+i or x=2-i
Therefore, option A is the correct answer.
To learn more about the solution of quadratic equation visit:
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I know the answer for this isn't a , but I'm not sure what the answer is. Cuz I would think you would be z y , y x, and XZ but that's not answer choice
Answer:
its the first one
Step-by-step explanation:
Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie has a rectangular rug that is 6 feet wide and 10 feet long. Will the rug fit on the floor of her room? Use the drop‐down menus to explain and show your answer.
Answer:
Yes it would
Step-by-step explanation:
Lanie's room is in the shape of a parallelogram.
Lanie has a rectangular rug that is 6 feet wide and 10 feet long.
Area of a rectangle = Length × Width
Area of the rectangular rug = 10 feet × 6 feet
= 60 square feet
We are told that:
The floor of her room is shown below and has an area of 108 square feet.
Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.
Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below: A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. What is the maximum length of the seesaw? (6 points) Group of answer choices 1.4 meters 2 meters
The sine rule is the ratio of perpendicular to the hypotenuse, then the maximum length of the seesaw will be 2 meters.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Jim is designing a seesaw for a children's park.
The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter.
Then the maximum length of the seesaw will be
We know that the sine rule is given as
[tex]L = \dfrac{1 }{ \sin 30} \\\\ L = \dfrac{1}{1/2} \\\\L = 2[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Answer:
2 meters
Step-by-step explanation:
John’s batting average is 0.278. What is his batting average rounded to the nearest hundredth?
Answer:
0.28 easy
Step-by-step explanation:
Can someone help me with this
I’ll mark as brainliest.
Answer:
The W/C is divided by the numbers on top to the number on the bottom
may i have brainlist??
the area of the farm is 600 square meters. The area of the garden is 120 square meters. What percent of the farm is the garden?
(-5x + 4) - (3x2 – 7x + 4) simplified and written in standard form?
Answer:
Simplify the expression=
− 3 x^ 2 + 2 x
It's the same thing in standard form.
Step-by-step explanation:
Answer:
-3x^2+2x
Step-by-step explanation:
Parallel or perpendicular
A surveyor at point S locates a tree 200 meters away, at point T. The surveyor turns 120 degrees counterclockwise and locates a rock formation 150 meters away, at point R. Find the distance between the tree and the rock formation.
This will require using the law of cosines.
Answer:
190
Step-by-step explanation:
The distance between the tree and the rock formation is approximately 304.14 meters.
To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the unknown distance between the tree and the rock formation as 'd.'
We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.
According to the law of cosines:
d² = 200² + 150² - 2 * 200 * 150 * cos(120°)
Now, we can calculate this expression to find the value of d:
d² = 40000 + 22500 - 60000 * cos(120°)
Using the value of cos(120°) ≈ -0.5, we have:
d² = 40000 + 22500 - 60000 * (-0.5)
d² = 40000 + 22500 + 30000
d² = 92500
Taking the square root of both sides to solve for d:
d = √92500
d ≈ 304.14
Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.
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the first week of June there were 404 customers at an ice cream parlor. Eight weeks later, the number of customers was 175% of this amount. How many customers were there eight weeks later?
Answer: 707
Step-by-step explanation: 404*175% or 404*1.75= 707
Answer:
707
Step-by-step explanation:
404 x 1.75 = 707
Need help on number 26 and 27!!
Answer:
26. H. (-4, -2)
27. A. x - 4
Step-by-step explanation:
26.
Use translations.
Start at point A(2, 6). To go from this point to the center of the circle, you must go from A(2, 6) to C(-1, 2). That means you need to go from 2 to -1 in x, a change of -3 in x, and from 6 to 2 in y, a change of -4 in y.
Since points A and B are the endpoints of a diameter, then AC and BC are radii of the circle. All radii are congruent, so if you apply the same transformation as from A to C to point C, you will get the coordinates of point B.
C(-1, 2) now is transformed by -3 in x and -4 in y.
B(-1 - 3, 2 - 4) ----> B(-4 , -2)
Answer: H. (-4, -2)
27.
Recall the factoring of a difference of cubes.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
You have
x^3 - 64
x^3 is obviously the cube of x.
64 is the cube of 4, so you have
x^3 - 4^3
Following the factorization above, you get
(x - 4)(x^2 + 4x + 16)
Answer: A. x - 4
If you give me the correct answer I will give you brainliest plz help
i will mark u brainles if you're correct
9514 1404 393
Answer:
rules of exponents apply
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Applying those rules to the given equation, you get ...
[tex]\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}[/tex]
A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 -Black
0.35
0.2
Red
0.45
2.
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.7
Red
3
0.3
Black
Answer:
A=0.2
b=0.2 x 0.7=0.14
0.45 x 0.2=0.09
0.44
c=112
Step-by-step explanation:
A machine paints 360 toy boats in 45 MINUTES. Write the expression that represents the unit rate per HOUR
Answer:
480 toy boats per hour
Step-by-step explanation:
1. Divide 360 by 45 to find unit rate per MINUTE.
360 / 45 = 8
2. One hour = 60 minutes, so multiply 8 and 60.
8 * 60 = 480
help me
for question 6, write the equation in standard form ax by=c (show your work). from: y=m b to Ax By=c
Since you have the slope m = -3 and the point (-9, -2) you can use the Slope Intercept Form to find b
y = mx + b
-2 = -3(-9) + b
-2 = 27 + b
Subtract 27 from both sides of the equation to get b
-2 - 27 = b
-29 =b
And the Slope Intercept Form
y = -3x -29
Now you can rearrange the Slope Intercept Form to give the Standard Form by adding 3x to both sides of the equation.
y + 3x = -29
I hope you find this useful and if you have any questions please send me a message.
if anyone is able to help please do :)
Answer:
49.12?
Step-by-step explanation:
half circle= 4 squared *3.14/2=25.12
triangle=pythagorean theorem to find h=8. 8*6/2= 24
25.12+24=49.12
If anyone knows how to solve this please help!!!
Answer:
i believe it would be 80⁰
Step-by-step explanation:
an angle accross a straight line in 180⁰, half of that of a circle witch is 360⁰. so if part of your angle is 100⁰, the other must be 80⁰
Given the graph, what is in initial value of the function?
(5 points)
A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. A straight line joins the ordered pair 0, 1 with the ordered pair 6, 7.
a
1
b
5
c
6
d
7
Answer:
6
Step-by-step explanation:
I have a big thick lookin brain
Im not completely sure so please dont get upset with me. : )
Ishi has $24 in his pocket. He pays $8 to have his car washed. Write and solve an expression to show the change in Ishi's money.
Answer:
8 - 24
Step-by-step explanation:
Answer: 24 + (-8)
Step-by-step explanation:
He has 24$ do you take 8 out of it
