Answer:
I guess that we want to find the position equation for the ball.
First, we know that any object that is in the air has acceleration equal to the gravitational acceleration (where we ignore forces like air resistance and others) so we can write the acceleration equation as:
a(t) = -32 ft/s^2
Where 32 ft/s^2 is the gravitational acceleration, and the negative sign is because this acceleration is downwards.
To get the velocity equation, we can integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where v0 is the initial velocity.
We know that the ball is thrown upwards with a velocity of 30 ft/s, then:
v0 = 30ft/s
And the velocity equation becomes:
v(t) = (-32 ft/s^2)*t + 30 ft/s
Finally, for the position equation we need to integrate again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (30 ft/s)*t + p0
where p0 is the initial position.
We know that the ball is thrown from an initial height of 4 ft, then:
p0 = 4ft
Then the position equation (or height equation) of the ball is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (30 ft/s)*t + 4 ft
Find √10 yo the nearest hundredth
Answer:
√10 = 3.16
Step-by-step explanation:
using calculator
√10 = 3.162277660168379
Hundredths is the second decimal place.
Since the next decimal place is less than 5
there is no need to round up
√10 = 3.16
Calculate the following:
5 +0,3 +0,04 + 0,008 in steps
Answer:
5.348
Step-by-step explanation:
5 + 0.3 + 0.04 + 0.008
If you find this difficult to calculate put zeroes in Hundredths place and thousandths place
=> 5.000 + 0.300 + 0.040 + 0.008
=>5.348
What is the volume of the cube below?
Answer:
D. 9h
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cuboid Formula: V = a²h
a is the sides of the cubeh is the heightStep-by-step explanation:
Step 1: Define
Identify variables
a = 3
h = h
Step 2: Find Volume
Substitute in variables [Volume of a Cuboid Formula]: V = 3²hEvaluate exponents: V = 9hAnswer:
D. 9h
Step-by-step explanation:
Volume of a cube = Length × Width× Height
= 3×3×h
= 9h
Fill in the blank. Given O below, you can conclude that SO is congruent to ___
Answer:
AO
Step-by-step explanation:
i need help with this asap !!
Answer:
x^2-2x-13
Step-by-step explanation:
f(x) = 2x-5
g(x) = x^2 -4x-8
f(x) +g(x) = 2x-5 + x^2 -4x-8
Combine like terms
= x^2+2x-4x-5-8
=x^2-2x-13
HELP PLEASEEEE !!!!!
Answer:
5%
Step-by-step explanation:
5 customers ordered large cold drinks so the probability would be 5/100
To convert 5/100 to percent, just do 5/100 x 100%
Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain
Answer:
It depends on the equations and the variables.
Example of an equation in 2 variables with infinitely many solutions:
sin2x - cos2y + cos2x - sin2y = 0
Example of an equation in 1 variable with 2 solutions:
(x - 1)(x - 2) = 0
Example of 2 equations in 2 variables with no solution:
The intersection of the lines given by
y = 3x + 1
y = 3x + 2
Example of an equation in 1 variable with 1 solution:
5x - 4 = 15
Example of an equation in 1 variable with no real solution:
x2 + 49 = 0
We can go on and on with examples like this. The question is way too general.
Step-by-step explanation:
please mark as brainliest
please mark as brainliest
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3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
find the derivative of the following function, with a positive index (differentiation)
pls help there’s a picture
Answer:
2nd option
Step-by-step explanation:
Using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
f(x) = [tex]\frac{3}{2\sqrt[3]{x} }[/tex] = [tex]\frac{3}{2x^{\frac{1}{3} } }[/tex] = [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{1}{3} }[/tex] , then
f'(x) = - [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{4}{3} }[/tex]
= - [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{x^{\frac{4}{3} } }[/tex]
= - [tex]\frac{1}{2x^{\frac{4}{3} } }[/tex] = - [tex]\frac{1}{2\sqrt[3]{x^4} }[/tex] [ Note there should be a leading negative ]
Sam had $42 to spend on 12 raffle tickets. After buying them he had $6 left. How much did each raffle ticket cost?
Answer:
Each raffle ticket cost $3.
What portion of shared $7500 security costs should be apportioned to store A?
Answer:
3,750
Step-by-step explanation:
2500+1250+625+625=5000
2500/5000=.50 or 50%
7500X.50=3750
1, 3, 2, 2, 1, 3, 3, 1
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answer:
(I only know part A. sorry) The mean is 2.
Step-by-step explanation:
To find the mean of data you have to add all of the numbers and then divide by the total number of numbers being added. (I hope that made sense)
So you have to do- 1+3+2+2+1+3+3+1=16 -and then- 16÷8=2 -so you're answer is 2.
hope your having a good day!
Answer:
yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr
If f(x) = x^2 + 1 find f (a+1)
Answer:
f(a + 1) = a² + 2a + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + 1
Step 2: Evaluate
Substitute in x [Function f(x)]: f(a + 1) = (a + 1)² + 1Expand [FOIL]: f(a + 1) = a² + 2a + 1 + 1Combine like terms: f(a + 1) = a² + 2a + 2Answer:
[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]
Find the area of the circle. Round your answer to two decimal places, if necessary.
Answer:
379.94 in.²
Step-by-step explanation:
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
[tex]a=\pi r^2[/tex]
In the image, the diameter is shown.
To find the radius of a circle, divide the diameter by 2.
[tex]22/2=11[/tex]
The radius of this circle is 11 inches.
Next, multiply the radius by itself twice.
[tex]11*11=121[/tex]
Lastly, multiply the product by pi (3.14).
[tex]121*3.14=379.94[/tex]
Therefore, the area of this circle is 379.94 inches squared.
I need some help
A rectangular prism with 6 square faces is called
A)square
B)polygon
C)Cube
D)Rhombus
Answer:
cube
Step-by-step explanation:
prisms are 3d figures just like cubes are
the other options are just 2d figures
[tex]\huge\tt\pink{Answer}[/tex]
C. Cube or Cuboid
A cuboid is a solid that has six rectangular faces--think of a typical box. All faces are either parallel or perpendicular to each other. Further, a cuboid is a right rectangular prism. A cuboid with six square faces is a cube, whereas a cuboid with at least two square faces is known as a square cuboid.
Which of the following represents the factorization of the trinomial below?
-3x2 – 18x2 – 24x
Answer:
-3x(7x+8)
Step-by-step explanation:
-3x^2-18x^2-24x
-3x(x+6x+8)
-3x(7x+8)
The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?
Answer:
The length is 99 centimeters.
Step-by-step explanation:
The area of a rectangle is found by multiplying:
A = Length • width
We also know that the area of the rectangular painting is 5,049 cm^2
An equation to represent this is:
51w = 5049
To find w, divide:
5049/51 = 99
CHECK YOUR ANSWER:
Formula tor area of a rectangle:
Length x width
Use formula with the measurements:
99 x 52 = 5049
So the length is 99 centimeters.
HOPE THIS HELPS!
No files just type it in please and thank you
Answer:
The answer is A - 5×9 I think so..
203 cm
196 cm
Question 1:
The formula to calculate the perimeter of the banner is
(a) 2 (1+ b)
(b) 2xrh + 2A
(c) a + (21 + b)
(d) 2 (1 + b) + ar
Answer:
πr + (2l + b)
Step-by-step explanation:
The figure is a composite figure, consisting of a semicircle and a rectangle :
The perimeter of a rectangle is the sum of the sides ;
Perimeter of semicircle is the 2πr/2 (Circumference / 2)
For the triangle, we take the sum of 3 sides ;
Length + length + breadth = 2l + b
Hence, the perimeter is :
2πr/2 + 2l + b
πr + (2l + b)
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
what is the answer to 7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)
Answer:
m=-2
Step-by-step explanation:
* please help*
What are the solutions of equation (x — 2)^2 = -3x + 6
Select all that apply.
A X= -3
B. X= -2
C. X= -1
D. x= 3
E. x= 1
F. X= 0
G. X= 2
Answer:
C and G
Step-by-step explanation:
Given
(x - 2)² = - 3x + 6 ← expand left side using FOIL
x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2 → G
x + 1 = 0 ⇒ x = - 1 → C
−5x+2y=9
y=7x
solve the system of equation
Which statement is NOT true concerning the graphing of a linear system?
------------------------------------------------------------------------------------------------------------------------------
Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
You can only graph a system of linear equations.
What is the area, in square inches, of the shape below?
Answer:
27.44 in²
Step-by-step explanation:
The formula for area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.
We can sub in the base and height lengths we know to work out the area. This gives a=[tex]\frac{5.6*9.8}{2}[/tex] or [tex]\frac{54.88}{2}[/tex].
This solves to 27.44 in².
**This content involves area of triangles, which you may wish to revise. If you are required to do this by hand, you may also like to review multiplying and dividing decimals. I'm always happy to help!
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
Hiiioo! Can someone please help me out! :)❤️
Answer:
-2/3
3/2
Step-by-step explanation:
slope is m in the equation y = m*x+b.
3y=-2x-3
y=-2/3x-1
parallel lines have the same slope, so slope of parallel lines is -2/3
perpendicular lines have negative the inverse
so -(-3/2)=3/2
what is the equation of the red graph? g(x)=? A. g(x)=-x^2 B. g(x)=x^2 C. g(x)=(4-x)^2 D. g(x)=(8-x)^2
the answer of course is bobbies
Answer
the answer if b in the above
A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?
Answer:
$36,575 is the new tuition