Answer:
6 feet
Step-by-step explanation:
A soccer ball is kicked from the ground in an arc defined by the function,
[tex]h(x) = -2x^2 + 8x[/tex]
h(x) is the height of the ball and time is t.
we need to find out the height when t= 3 seconds
Plug in 3 for t
[tex]h(x) = -2x^2 + 8x[/tex]
[tex]h(3) = -2(3)^2 + 8(3)[/tex]
[tex]h(3) =-18+24=6[/tex]
The height of the ball after 3 seconds is 6 feet.
how to solve this kind of question?
Which equation is equivalent to 2^4x = 8^x-3
Answer:
x = -9Step-by-step explanation:
[tex]8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9[/tex]
Answer:2^4x = 8^x-3
Step-by-step explanation:Answer is D
what is the distributive property for 8 times 19
The distributive property: a(b + c) = ab + ac
8 × 19 = 8 × (20 - 1) = 8 × 20 - 8 × 1 = 160 - 8 = 152
Order from least to greatest 0.5 0.41 3/5
Violet is watching the sand in a hourglass drain from the upper portion to the lower portion of the glass. She wonders how fast the sand is draining.
Which unit rates would be reasonable for Violet to use to describe how fast the sand is draining from the upper portion to the lower portion of the glass?
Select EACH correct answer.
gallons per hour
liters per hour
cubic centimeters per minute
cubic inches per second
The unit rates which will be reasonable for Violet to use to describe how fast the sand is draining from the upper portion to the lower portion of the glass is cubic centimeters per minute.
Explanation:
As the first 2 options gallons per hour and liters per hour, these denote liquid forms. But sand is not liquid that is why it cannot be the answer.
Cubic inches per second is very fast as compared to the small hourglass and the amount of sand that could be present in it. Moreover one side of the hourglass needs to be emptied in 24 hours, so this option is also not possible.
1/9 rounded to the nearest 1/2.
1/9 rounded to the nearest 1/2 is 0 because it is closer to 0 than to 1/2.
Explanation:When rounding 1/9 to the nearest 1/2, consider the fractions between 0 and 1 that are multiples of 1/2, which are 0 (or 0/2) and 1/2. Since 1/9 is closer to 0 than it is to 1/2, 1/9 rounded to the nearest 1/2 is 0. If you're trying to visualize this, picture a pie: 1/9 of a pie is a smaller slice than 1/2 of a pie.
To round a number to the nearest 1/2, you would choose the nearest fraction that is a multiple of 1/2. In this case, 1/9 is less than 1/4 (which is half of 1/2), hence it rounds down to 0, which represents no pie at all compared to half a pie.
Helppppp pleaseeeeeee fasttttt
What is the greatest common factor of 8 and 52
Explain why 1.55 centimeters is a reasonable answer for the difference in the wingspans of the two butterflies
Use the distributive property to expand the expression. (5x + 6y) − (3z + 4)
5x + 6y − 3z − 4
Because
(5x + 6y) − (3z + 4)
(5x + 6y) + (−1)(3z + 4)
5x + 6y + (−1)(3z) + (−1)(4)
5x + 6y − 3z − 4
How many more equal angles does a square have than a rectangle?
It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?
Harry buys an TV priced at £1200 plus 20% VAT he pays £300 deposit and the balance in ten equal monthly payments calculate each monthly payment
Lines A and B are graphs of a system of equations with no solutions? Which of the following statement is NOT true?
Please explain if u can!
Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel efficient the car is.
Please help by computing the ratio.
Elizabeth has budgeted $3,000 for food. If she decides to serve an additional side and a salad, can she choose the meal with two meats and stay within her budget?
What number is 1/10 as great as 7962
Answer:
796.2
Step-by-step explanation:
a number 1/10 as great as 7962 can be found in two ways the first way is
1) Divide 7962 by 10 we get 796.2
there fore 7962/10= 796.2
second way to get
2) multiply 7962 by 1/10 we again get 796.2
therefore from both the calculation a number 1/10 as great as 796.2
hope you got the point, feel free to ask doubt in comments
Pencils come in a pack of 8 for $1.12. How much is each pencil?
meow aka hi ummmm what is the square root of 232
Answer:
15.2315462117
Step-by-step explanation:
You have to divide the number evenly.
There are 3 islanders fans for every 11 ranger fans. what is the ratio of islander fans to total fans at the game
Timothy began the week with $35. He bought lunch at school, paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left at the end of the week. Which equation represents the relationship in the situation?
140 ft is 97 percent of what
The number is 144.32 whose 97% is 140 ft .
Given,
140 ft is 97 percent of what number .
Here,
Let the number be x .
Forming the equation,
97% of x = 140
97/100 of x = 140
x = 140 * 100/97
x = 140000/97
x = 144.32
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For what value of x will 55 and x have the mean (average) as 67
What is the function rule for the line?
A. f(x) = 3/2x - 2
B. f(x) = -2/3x - 2
C. f(x) = -3/2x - 2
D. f(x) = -3/2x + 2
Kali had some candy to give to her five children. she first took seven pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many pieces did she start with?
56.4 as a fraction in simplest form
QUESTION WORTH 20 POINTS, ANSWER A.S.A.P.!!!!!!!!!!!!!
The charges for two shuttle services are shown in the table. Find the number of miles for which the cost of both shuttles is the same.
Pickup Charge ($) Charge per Mile ($)
-----------------------------------------l--------------------------------------------
Easy Ride: $10 l $0.10
-----------------------------------------l--------------------------------------------
Best: $0 l $0.35
-----------------------------------------l--------------------------------------------
The number of miles for which the cost of both shuttles is the same is 40.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The charges for two shuttle services are shown in the table.
m=0-10/0.35-0.10
=10/0.25
Ten divided by zero point two five is 10 by one divided by 4.
=40 miles
Hence, the number of miles for which the cost of both shuttles is the same is 40.
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What does y equal ?
4y^2= 5.76
y =
simplify the expression by combining like terms.
7b + 4 - 3b - 2
what the number that goes n the box ?
( ? ) b + ( ? )
Final answer:
Combine like terms by adding or subtracting the coefficients of terms with the same variable and combining constants. The simplified expression is 4b + 2, so the coefficients that go in the boxes are 4 and 2.
Explanation:
To simplify the expression by combining like terms, follow the process of identifying and adding/subtracting like terms. The expression 7b + 4 - 3b - 2 contains both variable terms (containing 'b') and constant terms (just numbers).
Combine like terms:
Combine variable terms: 7b - 3b = 4b.
Combine constant terms: 4 - 2 = 2.
After combining like terms, the simplified expression is 4b + 2.
Therefore, the numbers that go in the boxes are 4 for the coefficient of 'b' and 2 for the constant term.
Chelsie saves 1/5 of her allowance and spends 2/3 of her allowance at the mall. What fraction of her allowance remains? Explain.