The kicked football is an example of a projectile. The football's greatest height is 144 m.
What is the projectile?A projectile is any object that is launched into space and moves under the influence of gravity and air resistance. A kicked football is a good example of a projectile. Given the height of the kicked football to be:h = -16t² + 96tThus, the height of the kicked football is a function of time taken. So that differentiating the equation of the height with respect to time, we have;0 = -32t + 9632t = 96t = [tex]\frac{96}{32}[/tex] = 3
Thus the greatest height of the kicked football is attained when the time is 3 seconds.
Thus,h = -16t² + 96t = -16 (3)² + 96 (3) = -144 + 288h = 144
Therefore the football's greatest height is 144 m.
Learn more about the height of a projectile at https://brainly.com/question/24216590
#SPJ1
Pleaseee hellpp
Which of the following is the solution to the inequality below?
s > 7
A. s = 9
B. s = 7
C. s = 1
D. s = 3
Answer:
A
Step-by-step explanation:
s must be a number greater than 7
hey i would appreciate it if someone could help
Answer:
x^3y^2√xy
Step-by-step explanation:
First, you calculate what's in the square root. x^2 becomes x and y^4 becomes y^2.
Then you distribute the 1/2 to the x^5 and the y so they become x^5/2 and y^1/2.
Next, you combine the like terms. x and x^5/2 becomes x^7/2. y^2 and y^1/2 become y^5/2.
So you have x^7/2 y^5/2
To get rid of the 2 on the bottom of the exponents you square root both variables.
So you get √x^7 y^5 (square rooted x^7 and y^5)
Simplify the square rooted problem to x^3 y^2 √xy
You get x to the third power y to the second power and square rooted xy.
help please
What is the Range of the function?
The range of the function f(x) = 3x - 4, having domain x ≥ 1 is x ≥ -1 and the graph is attached below so, option D is correct.
What is range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
The function, f(x) = 3x - 4,
Domain = x ≥ 1
When domain = 1,
Range = 3 × 1 - 4 = -1
When domain = 2
Range = 3 × 2 - 4 = 2
Thus, you can conclude the range of the function as x [-1, ∞) or x ≥ -1
To know more about the range:
https://brainly.com/question/28135761
#SPJ1
Use the 2016 marginal tax rates to compute the income tax owed by the following person. Single male, no dependents. Gross income: $88,000 Adjustments: $2000 Deductions:$27,000 mortgage interest $4036 property taxes $2000 charitable contributions
The taxable income in marginal tax rates for 2016 is $44964.
What is marginal tax rate?
The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.Gross income = $88000
Adjustments = $2000
Deductions interest = $27000
Property taxes = $4036
Charitable contribution = $2000
Taxable income = 88000 - (2000 + 27000 + 4036 + 2000)
= 88000 - 35036
= 44964
Hence, the taxable income in marginal tax rates for 2016 is $44964.
To know more about income check the below link:
https://brainly.com/question/26316390
#SPJ1
Ahley' chocolate bar i 72% cocoa. If the weight of the chocolate bar i 51 gram, how many gram of cocoa doe it contain?
Answer: 36.72 G
Step-by-step explanation:
I sell
Rony spent 20% of his salary on a wallet. He bought a bag which cost $20 more than the wallet. He also bought a pair of shoes. The ratio of the cost of the wallet to the cost of the pair of shoes was 5:6. He then had $844 left.
(a) What was his monthly salary?
(b) Express the amount of money he spent on the pair of shoes as a fraction of his monthly salary in its simplest form.
The 20% Tony spends from his monthly salary on the wallet, the bag which cost $20 more than the wallet and the ratio of the wallet to shoe cost of 5:6, which expressed as a fraction is 5/6, indicates;
(a) Tony's monthly salary is $2,400
(b) The amount spent on the pair of shoes is (6/25) of his monthly salary
What is a fraction?A fraction is a part of a whole item, expressed as a quotient.
Let x represent Tony's salary, from the details of the question, we get;
The amount Tony spent on the wallet = 20% of his salary
The cost of the bag Tony bought = $20 + The cost of the wallet
Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6
The amount Tony had left = $844
Therefore;
The amount Tony spent on the wallet = 20% of x = 0.2·x
Amount spent on the bag = 20 + 0.2·x
Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6
Therefore;
Cost of the pair of shoes = (6/5)×(0.2·x)
Therefore;
x - 0.2·x - (20 + 0.2·x) - (6/5) ×(0.2·x) = 844
0.36·x - 20 = 844
x = (844 + 20)/0.36 = 2400
Tony's monthly salary, x = $2400(b) The amount Tony spends on the pair of shoes = (6/5) × (0.2·x)
(6/5) × (0.2·x) = (6/5) × (2/10) × x = (12/50)·x = (6/25)·x
The amount Tony spends on a pair of shoes expressed as a fraction of is (6/25) of his monthly salaryLearn more about fractions here:
https://brainly.com/question/113391
#SPJ1
Please help geomotry
Figure D was reflected over the y axis and translated 4 units upwards to form figure E
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
According to the given question:
On translating the figure D over y-axis, the figure E will be 4 units above.
Therefore, Figure D was reflected over the y axis and translated 4 units upwards to form figure E.
To know more about transformation visit
brainly.com/question/4289712
#SPJ1
Julius operates an athletic apparel stor. His records indicate that he had sales of 97,000. Customer return $ 2000 worth of clothing and shoes because of various reason. His cost of good sold was $ 25,000. What is Julius schedule c ( form) gross profit
Julius's Schedule C gross profit is $72,000
($97,000 sales - $2,000 returns - $25,000 cost of goods sold = $70,000 gross profit).
What does the profit actually mean?income from trade or business after covering the costs of generating and disbursing goods and services: Selling scraps to textile businesses brings her a sizable profit.
The purpose of profit calculationA business's primary goal should be to earn a profit. Understanding where your business is producing money and where you are spending it can help you assess your level of success. Calculating your profit can also provide you this information.
What does profit math look like?Income less all costs. As an illustration, Sam's Bakery collected $900 yesterday, but its expenses, including salaries, food, and power, were $650. Profit was therefore $900 divided by $650 to equal $250.
To know more about profit visit:
https://brainly.com/question/15699405
#SPJ4
What is the solution to the system of equations graphed below? y = –2x – 4 y = x + 2 A. (0, 2) B. (–2, 0) C. (0, –2) D. (2, 0)
The solution to the system of equations is ( -2, 0)
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
y = -2x - 4 ------------1
y = x + 2--------------2
Equating equation 1 and 2 we have
-2x - 4 = x + 2
collect like terms
-2x - x = 2 + 4
-3x = 6
x = 6/-3
x = -2
but y = x + 2
substitute x = -2
y = -2 + 2, y = 0
In conclusion the solution of the system of linear equations is (-2, 0 )
Learn more about linear equations: https://brainly.com/question/4074386
#SPJ1
Indigo launches a toy rocket from a platform. The height of the rocket in feet is given by h(t)=-16t² + 80t + 96 where t represents the time in seconds after launch. What is the rocket's greatest height?
The calculated value of the rocket's greatest height is 196 feet
Calculating the rocket's greatest height?From the question, we have the following parameters that can be used in our computation:
height function, h(t) =-16t² + 80t + 96
So, we have
h(t) =-16t² + 80t + 96
The maximum value of t is calculated as
t = -b/2a
So, we have
t = -80/(2 * -16)
Evaluate
t = 2.5
The rocket's greatest height is at t = 2.5
So, we have
h(2.5) =-16(2.5)² + 80(2.5) + 96
Evaluate
h(2.5) = 196
Hence, the rocket's greatest height is 196 feet
Read more about height funcion at
https://brainly.com/question/10837575
#SPJ1
A group consisting of 35 aggressive zombies quadruples in size every hour. Which
equation matches the number of zombies after 7 hours?
OZ = 4(35)7
OZ = 35(1+4)7
OZ = 35(4)7
OZ=35(4) (4)(4)
Submit Answer
Answer: Z=35(4)^7
Step-by-step explanation:b = multiplier = 4b = multiplier = 4a = starting amount = 35a = starting amount = 35t = time = 7 hourst = time = 7 hours. a⋅b^t
35(4)735(4)7Equivalent forms:Equivalent forms:35(4)(4)(4)(4)(4)(4)(4)35(4)(4)(4)(4)(4)(4)(4)
Question
You go down 8 floors in an elevator. Your friend goes up 5 floors in an elevator. Write each amount as an integer.
you will be on floor no. -8 and your friend will be in floor no. 5 if you and your friend started at floor no. 0
YOU CAN ALSO VISUALISE THIS WAY
9x - 7 = -7
Solve For X
Answer:
the answer to this should be no solution
Step-by-step explanation:
the first step would be adding seven to both sides, but all that does is leave a zero on the other side, so the equation ends up being 9x=0.
The value of x in the expression is 0.
We have,
Expression: 9x - 7 = -7
To solve for x.
Add 7 on both sides.
9x - 7 + 7 = -7 + 7
9x = 0
x = 0
Thus,
The value of x in the expression is 0.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Which statement is a proportion?
a. 3/4 = 5/8
b. 3/4 = 4/8
c. 3/4 = 6/8
d. 3/4 = 7/8
The statement that is proportion is 3/4 = 6/8
What is statement ?
Depending on the context, the term "statement" in logic can refer to either a proposition or a coherent declarative utterance that can be true or untrue. Which is the claim a true or untrue declarative phrase makes.
A sentence that asserts something to be true is called a statement.
In the fields of law, banking, and government, there are more types of statements. Every statement makes a claim or a point. If you see an accident, you have to tell the police what you observed in a statement.
A statement is a directive issued to the computer that tells it to carry out a specific task, like display something on the screen or gather input. A succession of assertions make up a computer program.
3/4 = 5/8
3:4 ≠ 5:8
3/4 = 4/8
3/4 = 1/2
3:4 ≠ 1:2
3/4 = 6/8
3/4 = 3/4
3:4 = 3:4
3/4 = 7/8
3:4 ≠ 7/8
To learn more about statement from the given link
https://brainly.com/question/26115325
#SPJ1
A Question 9 (2 points) Retake question
Evaluate the function f(x), if f(x) = 4x - 2, what is the value of f(3)?
Enter your answer in the box below.
f(3) =
A
The value of f(3) is 10.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Here, we have
Given function :
f(x) = 4x - 2
We have to find the value of f(3).
Now we put x = 3 and we get
f(3) = 4 × 3 - 2
f(3) = 12 - 2
f(3) = 10
Hence, the value of f(3) is 10.
To learn more about the function from the given link
https://brainly.com/question/25638609
#SPJ1
A loan of $740 is taken out a daily interest of 0.66%. How much will it cost to pay off the loan after 57 days?
Answer:
$1,018.39
Step-by-step explanation:
Interest formula is I = Prt/100
where P = principal
r = interest rate (in percent)
t = number of time periods
Here we have P = 740
interest = 0.66% per day
t = 57 days
I = 740 x 0.66 x 57 /100 = 278.39 (rounded)
Total amount to pay back = 740 + 278.39 = $1,018.39
An ice cube is freezing in such a way that the side length s, in inches, is s of t equals one half times t plus 2 comma where t is in hours. The surface area of the ice cube is the function A(s) = 6s2.
Part A: Write an equation that gives the volume at t hours after freezing begins. (2 points)
Part B: Find the surface area as a function of time, using composition, and determine its range. (4 points)
Part C: After how many hours will the surface area equal 216 square inches? Show all necessary calculations, and check for extraneous solutions. (4 points)
a) The equation for the volume of the cube after t hours is of: V(t) = (0.5t + 2)³.
b) The equation for the surface area of the cube after t hours is of: S(t) = 6(0.5t + 2)².
c) The surface area will be of 216 in² after 8 hours.
How to obtain the volume and the surface area of a cube?Considering a cube of side length s, the surface area and the volume are given as follows:
Surface Area: S(s) = 6s².Volume: V(s) = s³.In this problem, the side length is a function of the time, as follows:
s(t) = 0.5t + 2.
Hence the equations are given as follows:
Surface Area: S(t) = 6(0.5t + 2)².Volume: V(t) = (0.5t + 2)³.The surface area will be of 216 in³ when:
6(0.5t + 2)² = 216
(0.5t + 2)² = 216/6
(0.5t + 2)² = 36.
Taking the square root from both sides, the time is given as follows:
0.5t + 2 = 6
0.5t = 4
t = 4/0.5
t = 8 hours.
More can be learned about surface area and volume of cube at https://brainly.com/question/24898008
#SPJ1
Tess wants to make throw pillows for her couch. She has 6 yards of fabric. Each pillow uses 2/3 of a yard of fabric. How many pillows can she make?
Answer:
4
Step-by-step explanation:
[tex] \frac{2}{3} \times 6 = 4[/tex]
I think she can make 4 throw pillows if she should use 6 yards of fabric
i hope this helped
At approximately what latitude is the sun directly overhead at noon on November 24?
Help this is due tomorrow and I have no idea how to do it I'll give 100 points
Answer:
23.5 degrees north
Step-by-step explanation:
If M7=28, what is M14?
Answer:
56
Step-by-step explanation:
divide 7 into 28 which is 4.
Then substitute 4 for M so 4 times 14 which is 56.
Factor t12 – r3s15.
A. (t4 – rs5)(t8 – rs5t4 – r2s10)
B. (t4 – rs5)(t8 + rs5t4 + r2s10)
C. (t9 – rs12)(t18 + rs12t9 + r2s24)
D. (t4 + rs5)(t8 – rs5t4 + r2s10)
The required factors of the given polynomial is (r^4 + rs^5)(t^8 - (rs^5t^4) + r^2s^10).
What is factor?
A factor is a number that partitions another number, leaving no remainder portion. if multiplying two whole number gives us an item, the numbers we are increasing are variables of the item since they are separable by the item.
According to question:We have given,
t^12 - r^3(s)^15
By using formula
(a³ - b³) = ( a+ b)( a² -ab + b²)
Then,
(r^4)^3 - (rs^5)^3
(r^4 + rs^5)((t^4)^2 - rs^5t^4 + (r^5)^2)
(r^4 + rs^5)(t^8 - (rs^5t^4) + r^2s^10)
Thus, required answer is (r^4 + rs^5)(t^8 - (rs^5t^4) + r^2s^10), So option (D) is correct.
To know more about factor visit:
brainly.com/question/22256187
#SPJ4
What is the numerator of the simplified sum?
StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
Therefore, the numerator of the given equation comes out to be 4x+6
what is fraction?A fraction denotes a component of a whole or, more generally, any number of equal parts. In conversational English, a fraction, such as one-half, eight-fifths, or three-quarters, denotes the quantity of a specific size of portions.
Given
[tex]\frac{x}{x^{2} +3x+2} + \frac{3}{x+1}[/tex]
A common denominator must exist for the fractions before we can add them.
Factor the denominator of the first fraction
[tex]\frac{x}{(x+1) (x+2)} + \frac{3}{x+1}[/tex]
Subtract (x + 2) from the second fraction's numerator and denominator.
[tex]\frac{x}{(x+1) (x+2)} + \frac{3(x+2)}{(x+2)(x+1)}[/tex] ← Currently, fractions share a common denominator.
Add the numerators leaving the denominators
= [tex]\frac{(x+2)(x+3)}{(x+2)(x+1)}[/tex]
= [tex]\frac{x^{2} +3x+6}{(x+2)(x+1)}[/tex]
= [tex]\frac{4x+6}{(x+2)(x+1)}[/tex]
simplified sum with numerator 4x + 6
Therefore the numerator of the given equation comes out to be 4x+6.
To know more about fractions , visit
https://brainly.com/question/11947917
#SPJ1
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total. Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8. Let rrr represent the number of additional rolls that sofia orders. 1) which inequality describes this scenario? choose 1 answer: choose 1 answer:.
In linear equation, Sofia will order 7 more rolls of sushi (84 pieces) and pay $56.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
They need at least 100 pieces of sushi
Sofia had ordered and paid for 24 pieces of sushi already
Sushi comes in rolls
Each roll=12 pieces at $8
R=additional rolls that Sofia orders
Additional sushi= Needed sushi - ordered sushi
=100-24
=76 pieces of sushi
Each roll has 12 pieces
76/12=6.33
Sofia has to order in rolls
So, she will order 7 more rolls of sushi of 12 pieces each
12*7=84 pieces
Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100
If Sofia orders 84 pieces + the already ordered 24 pieces
Total pieces=108 pieces
She has paid for 24 pieces (3 rolls) at $8 per roll
7 rolls=$8*7
=$56
Learn more about linear equation
brainly.com/question/21835898
#SPJ4
Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that
f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain
of Ethan's function?
The domain of f(x) = 2x² + 2x + 4 is (-∞, ∞).
What is a Quadratic equation?A quadratic equation, or quadratics, is a polynomial equation with a maximum degree of two. It will be in the form of ax² + bx + c = 0.
When a quadratic function is represented in a graph on the x and y grid, It will represent a parabola. Either it will open upwards or downwards.
The domain of a parabola is the entire set of real numbers [ Without any restrictions ]
Here we have
Ethan uses the function, f(x) = 2x² + 2x + 4
As we know all quadratic functions are parabolas
And its domain is the set of real numbers
Therefore,
The domain of f(x) = 2x² + 2x + 4 is (-∞, ∞).
Learn more about Quadratic Equation at
https://brainly.com/question/29011747
#SPJ1
Help please asp before 11:59
Answer: I believe it is reflected over the y-axis.
Step-by-step explanation:
Always look for the dum (I know it is spelled wrong but Brainly won't let me type it) and dummer answer choices. The other two choices aren't even a type of transformation. Think about it. If you are reflecting over the y-axis, the y-values stay the same and the x-values change.
What are the other two factors of this polynomial x^3-4x^2-17x+60x-3
The factors of y =x³-4x²-17x+60x are (x−3), (x−5) and (x+4)
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Given:
y =x³-4x²-17x+60x
Let us assume that the factors are
(x−a), (x−b) and (x- c)
So, if x is either equal to a or b or c, y=0
and a⋅ b⋅ c=−60, which means a or b and c are factors of 60.
Thus, which factor of 60 (such as 2, 3, 5, 6, 10 etc.) makes y=0.
It is given that (x−3) is a factor of y
and, When we divide y by (x−3), we get x²−x−20
Similarly x=5 makes x²−x−20 equal and Dividing x2−x−20 by (x−5), we get (x+4)
Hence, the factors of y =x³-4x²-17x+60x are (x−3), (x−5) and (x+4)
Learn more about polynomial here:
https://brainly.com/question/11536910
#SPJ1
f(x)=-x^{2}+2x+6
f(x)=−x
2
+2x+6
\text{Find }f(-7)
Find f(−7)
The value of f(-7) is -29.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x)=-x² + 2x + 6
So, to find f(-7) put x= -7
f(-7) = -(7)² + 2(7) + 6
f(-7) = -49 + 14 + 6
f(-7) = -29
Hence, the value of f(-7) is -29.
Learn more about function here:
https://brainly.com/question/13956546
#SPJ1
i am wondering what 72b=9 is
Answer:
1/8
Step-by-step explanation:
9/72 = 1/8
375 ÷ 3 = n. what do you guys think it is answers?????
Answer:125=n
Step-by-step explanation: 375 divided by 3 is 125
Create a probability model for the outcome of performing 2 spins. What is the probability of landing on red once and yellow once?
Using the concept of probability, the probability of not landing on yellow or red at all is 1/4.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Creating a square model of the two spins :
Red(R) ; Blue(B) ; Green(G) ; Yellow(Y)
___ R ___ B ___ G ___ Y
R_ RR __ RB __ RG __ RY
B_ BR __ BB __ BG __ BY
G_ GR __GB __ GG __GY
Y_ YR __ YB __ YG __ YY
Sample space = 4² = 16
Combinations without red and yellow :
{BB, BG, GB, GG}
Number of selections without red or yellow = 4
Recall :
Probability = required outcome / Total possible outcomes
P(without Red or Yellow) = 4/16 = 1/4
Hence, the probability of not landing on yellow or red at all is 1/4.
To know more about probability follow
brainly.com/question/14605518
#SPJ1