The object was 334 feet in the air 9 seconds after it was launched.
The height of an object launched from the top of a hill can be modeled by the function h(t) = -16t² + 170t + 100, where t represents the number of seconds after the launch.
This function gives the height of the object in feet at any time t after the launch.
To find the height of the object 9 seconds after it was launched,
Substitute 9 for t in the function h(t) to calculate the height of the object at that time. This gives us the equation :
⇒ h(9) = -16(9)² + 170(9) + 100
⇒ h(9) = -16(81) + 1530 + 100
⇒ h(9) = -1296 + 1530 + 100
⇒ h(9) = 334 feet.
Therefore, 9 seconds after being launched, the object had reached a height of 334 feet.
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Write 64 × 32 as a power of 2.
Answer:
2⁶×2⁵
Step-by-step explanation:
64×32
= 2⁶×2⁵ ans
thank you for questioning ....
Ajit has five coins that make up $.51 what coins does Ajit has
Answer:
Step-by-step explanation:
Ajit has 5 coins in total
1 quarter = 25 cents
1 nickel = 5 cents
2 dimes = 20 cents
1 penny = 1 cent
The required coins that Ajit has are 1 quarter, 1 nickel, 2 dimes, and 1 penny.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let,
Quarter = x
Nickle = y
Dimes = z
penny = a
So, accoding to the quesiton
0.25x + 0.5y + 0.10z + 0.01a = $0.51
Ajit has 5 coins in total
So that the sum of x + y + z + a = 5
Apply hit and trial,
1 quarter = 25 cents
1 nickel = 5 cents
2 dimes = 20 cents
1 penny = 1 cent
Total coins value = $0.51
Similarly, various cases can be determined.
Thus, the required coin that Ajit has is 1 quarter, 1 nickel, 2 dimes, and 1 penny.
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Help quick if you can!
An underwater robot takes a picture at an elevation of -8 5/12m relative to sea level. What is the robot’s elevation expressed sans decimal?
The value of the expression to the nearest tans is -8.4
What is rounding a number?Adjusting a number's digits so that it produces an approximation of a result is known as rounding
The given expression is -8 (5/12).
Rewrite the expression:
-8 (5/12)
= - 101/12
= - 8.4
Hence, the value of the expression to the nearest tans is -8.4
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PLEASE HELP!!!!! Need answer immediately
Rania redesigned the bottom of one of the Landing pools. the equation that describes the bottom of the redesigned pool is y = 2/5x -60 in this equation y represents the depth of the water and x is the distance a guest lands away from the far wall all measurements are in inches. How deep is the water in the pool where a guest lands in the water 36 inches from the wall?
A. Y=74.4 in
B. Y=38.4 in
C. Y=45.6 in
D. Y=60 in
Answer:
C. y = 45.6 in
Step-by-step explanation:
Given equation:
[tex]y=\dfrac{2}{5}x-60[/tex]
where:
y is the depth of the water (in inches).x is the distance a guest lands away from the far wall (in inches).If a guest lands 36 inches from the wall, then x = 36.
Substitute x = 36 into the equation:
[tex]\implies y=\dfrac{2}{5}(36)-60[/tex]
[tex]\implies y=\dfrac{2 \cdot 36}{5}-60[/tex]
[tex]\implies y=\dfrac{72}{5}-60[/tex]
[tex]\implies y=14.4-60[/tex]
[tex]\implies y=-45.6[/tex]
Therefore, the depth of the water is 45.6 inches (since -45.6 inches means it is that distance below the surface).
solve the next fractions
Answer:
[tex]-\frac{19}{50}[/tex]
Step-by-step explanation:
[tex]-\frac{\frac{38}{25} }{4}[/tex]
[tex]-\frac{38}{25 * 4}[/tex]
[tex]-\frac{19}{50}[/tex]
help pls
What is the average rate of change of the function on the interval from x = 3 to x = 5?
f(x)=10(2)x
Answer: 1560
Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].
To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.
The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.
The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.
Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.
Dan reads his favorite series of books at a rate of 19
pages per hour. If Dan has already read the series for
34 hours but still has 1193 pages left, how many pages
are in the series altogether?
Answer:
Step-by-step explanation:
mult 19 buy 34 to find total number of page read then add page left = 1839
PLEASE PLEASE HELP ASAP WILL GIVE BRAINLIEST
A regular polygon is shown, with one of its angle measures labeled a.
If ma = (5z + 65)°, find the value of z.
Oz=15
Oz=20
Oz=23
Oz=41
a
Answer:
z = 15
Step-by-step explanation:
I got it right on my exam ( i luckily guessed it, but trust me.)
please help me with this question
Answer:
C
Step-by-step explanation:
Hope this helped! :D
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What is the sum of the series sum from n equals 1 to infinity of negative 3 times three eighths to the n power question mark
The required sum of the series sum from n equals 1 to infinity is -9/5
What is geometric series of infinity?geometric series, in science, a infinite series of the structure a + ar + ar^2 + ar^3+⋯, where r is known as the common ratio. A basic model is the mathematical series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +⋯, which joins to an amount of 2 (or 1 on the off chance that the initial term is barred).
According to question:We have,
GP; -3(3/8), -3(3/8)^2,................ -3(3/8)^∞
Common ratio(r) = 3/8, a = -9/8
S(1 to ∞) = a/(1 - r)
S(1 to ∞) = -9/8(1 - 3/8)
S(1 to ∞) = -9/8/5/8
S(1 to ∞) = -9/5
Thus, sum of geometric series is -9/5.
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Find the Banzhaf power distribution of the weighted voting system
[30: 17,15,13,1]
Give each player's power as a fraction or decimal value
p₁ ____
p₂ ____
p₃ ____
p₄ ____
These are the possible combination of winning players:
{P1, P2}( weight :32) {P1, P2, P4} (weight: 31)
{P1, P2, P3} (weight: 45) {P1, P2, P3, P4} (weight: 46)
{P1, P3, P4} (weight: 31) {P1, P3} (weight: 30)
What is the distribution?
The mathematical expression known as a distribution function expresses the likelihood that a system would adopt a certain value or range of values. The traditional examples include games of chance.
The voting system tells us that the quota is 30, that Player 1 has 17 votes (or equivalently, has a weight of 17), Player 2 has 15 votes, Player 3 has 13 votes, and Player 4 has 1 votes.
A coalition is any group of one or more players. What we're looking for is winning coalitions - coalitions whose combined votes (weights) add to up to the quota or more. So the coalition {P3, P4} is not a winning coalition because the combined weight is 13 + 1 = 14, which is below the quota.
So we look at each possible combination of players and identify the winning ones:
{P1, P2}( weight :32) {P1, P2, P4} (weight: 31)
{P1, P2, P3} (weight: 45) {P1, P2, P3, P4} (weight: 46)
{P1, P3, P4} (weight: 31) {P1, P3} (weight: 30)
Hence, these are the possible combination of winning players.
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David was at the
airport for 2 hours.
He spent 45 minutes of
that time waiting in
the security line.
What percentage of
time did he spend in
the security line?
Answer:
37.5%
Step-by-step explanation:
2 hours = 120 mins
(Units need to be the same in order to work with them)
45/120 = x/100
45 * 100 = 120x
x= 37.5%
Factory XYZ has already produced 280 units today. The factory produces 92 units per hour. Today's goal is to produce at least
1,108 units. If x represents the number of production hours, which of the following inequalities symbolizes this situation?
The inequlity according to the given statement will be equal to 280 + 92(x) ≥ 1,108.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given information in the question,
Rate of production per hour by the factory = 92 per hour
The factory has to produce at least 1,108 units.
Number of units produced today = 280
Assume x is the number of production hours,
Then, the equation will be,
280 + 92(x) ≥ 1,108 units.
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Gayla Ojeda is trying to decide which of two different kinds of candy to sell in her retail candy store. One type is a name-brand candy that will practically sell itself. The other candy is cheaper to purchase but does not carry an identifiable brand name. Ms. Ojeda believes that she will have to incur significant advertising costs to sell this candy. Several cost items for the two types of candy are as follows: Brandless Candy Name-Brand Candy Cost per box $ 4.00 Cost per box $ 6.00 Sales commissions per box 1.00 Sales commissions per box 1.00 Rent of display space 900.00 Rent of display space 900.00 Advertising 3,000.00 Advertising 2,000.00
Required Identify each cost as being relevant or irrelevant to Ms. Ojeda’s decision and indicate whether it is fixed or variable relative to the number of boxes sold.
The costs as being relevant to Mrs. Ojeda's decision are Rent of display space 900.000 advertisement 3000 and irrelevant costs are commission,
How to determine relevant costsWe should know that the cost that differs from other costs in terms of alternative decision is called relevant cost, the irrelevant cost does not change as the result of a management decision.
Sales commission by brand 1.00 ........ Irrelevant to number of boxes
Rent of display space =900.000 ............ Relevant to number of boxes
Advertising cost = 3,000.00........................ Relevant to number of boxes
Cost per unit = 6.00 .................................. irrelevant to number of boxes
cost per unit of $4.00 ...................... Relevant to number of boxes
Fixed cost include the following
Rent of display 900.000
Variable costs are
Sales commission 1.00
Advertisement 2000
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2/5 kilogram of soil fills 1/3 of a container. Can 1 kilogram of soil fit in the container?
Answer:
25
yes
Step-by-step explanation:
The table shows the lowest and highest record temperatures for three cities.Which city had the greatest change in the record temperature?
The city that had the greatest change in the recorded temperature is; 115°F
How to find the change in the function table?We are given the following as the table showing the lowest and highest recorded temperatures for three cities
City: Barrow Budapest Prague
Highest Temperature: 73 103 98
Lowest Temperature: -42 -10 -16
The temperatures are given in Fahrenheit.
We have to find the cities with difference between their highest and lowest temperatures .
Change in temperature for the city of barrow = (73 - (42)) = 115°F
Change in temperature for the city of Budapest = (103 - (-10)) = 113°F
Change in temperature for the city of Prague = (98 - (-16)) = 114°F
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Complete question is;
The table gives the highest and lowest recorded temperatures for six cities. Which cities recorded a difference between their highest and lowest temperatures that is greater than or equal to 115°F? Select two answers.
A.Barrow
B.Budapest
C.Prague
D.Tehran
E.D e a t h Valley
F.London
Complete the sentence using sum, difference, product, qoutient, or factor
1- The expression 20 + (8/2) is the _____ of 20 and (8/2). The expression 8/2is the _____ of 8 and 2.
2- The expression 11 x 6 has two ___, namley 11 and 6, because it is the _____ of those expressions.
Answer:
1- The expression 20 + (8/2) is the 30 of 20 and (8/2). The expression 8/2 is the 10 of 8 and 2.
2- The expression 11 x 6 has two 6s, that is, 11 and 6, because it is the 66 of those expressions.
Please nswer this question.
Answer:
4.75 megabytes per second
Step-by-step explanation:
500-25 = 475
475 / 100 = 4.75
y=m×+b
1.
m=6
b=12
2.
m=20
b=4
3.
m=10
--
16
b=8
Answer:
m=20
b=4
m=10
Step-by-step explanation:
What is good IQ for an 11-year-old?
Please helppp its worth 10
Answer: Choose 15 and 20
Step-by-step explanation:
Both 15 and 20 will work because if you subtract 8 from both, you will get 7 and 12 and both numbers are still greater than 5.
This exercise uses, the population growth model
A culture starts with 8300 bacteria, After 1 hour the count is 10,000 .
(a) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to three decimal places.)
n(t)=8300(1)
(b) Find the number of bacteria after 2 hours. (Round your answer to the nearest hundred.)
17485.75 x bacteria
(c) After how many hours will the number of bacteria double? (Round your answer to one decimal place.)
50times
Using an exponential function, the rate of growth is 20.482%, the number of bacteria after two hours is 12048.21 and the doubling time of the bacteria is 3.7 hours
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function.
A) The rate of growth can be calculated as
Data;
P = 8300A = 10000r = ?x = 1 hourWriting this in an exponential function;
A = P(1 + r)ˣ
10000 = 8300(1 + r)¹
r = 0.2048
r = 20.482%
B)
Substituting the values into the function above
x = 2
A = 8300(1 + 0.2048)²
A = 12048.21
C)
For the bacterial to double, the time will be
2 = (1 + 0.2048)ˣ
x = 3.7 hours
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what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
-2x+7y=-16
-x-8y = 15
Answer:
y = -2
x = 1
Step-by-step explanation:
Evaluate the expression 9x - 5 for the values of x given in the first column.
Value of x Value of expression
5
4
129
6
7
Answer:
Step-by-step explanation:
To fill the table using the expression
you have to replace each value with x and solve the expression
Answer:
Step-by-step explanation:
Expression : 9x - 5
To fill the table using the expression, you have to replace each value with x and solve the expression.
The answer is attached to the picture.
what is the volume of the composite figure 16 7 3 5 3 6
The total volume of the composite figure is; 381 m³
How to find the volume of the composite figure?The formula for volume of a prism is;
V = Bh
where;
B is area of triangular base
h is height of prism
Thus;
V = (¹/₂ * 3 * 5) * 6
V = 45 m³
Volume of bottom cuboid is given by the formula;
V = Length * width * height
Thus;
V = 16 * 7 * 3
V = 336 m³
Total volume of composite figure = 45 m³ + 336 m³
Total volume of composite figure = 381 m³
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-2.3x + 9.3x = 19.6
Show your work.
Answer:
here you go !!
hope his helps
Find the slope-intercept equation of the line that passes
through (5, -3) and has a slope of -3.
Only need the answer
Answer:
y=-3x+12
Step-by-step explanation:
Plug in (5, -3) for x in the slope-intercept form. This gives -3 = 5*-3 + b, or -3 = -15 + b. We want to solve for b, so add 15 to both sides, giving b = 12.
Can you please help me with this
Answer: 100 ft sq.
Step-by-step explanation:
The equation for surface area is S = 2lw + 2lh + 2wh.
l=2, h=7, w=4.
S = 2(2)(4) + 2(2)(7) + 2(4)(7)
S = 16 + 28 + 56
S = 100