It will take 2.76 seconds an object to fall to the top.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that The height of a building is 1957 feet.
S = the distance
Given d = 16t² is the function for the height as a function of time. It will hit the ground when h=0 so:
16t² - 1957 =0
16t² - 1957 =0
16t² =1957
t² =1957 /16
t=√(1957 /16) seconds
t≈ 2.76 seconds (to nearest hundredth of a second)
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Please help meeeeee!!!!!
For the points A(-2,-3), B(0,5), C(2,5), D(4,9) and E(6,13) the slope of the line is 2.
What is slope ?Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.
y - y₁ = m(x - x₁)
In the given table, the points are,
A(-2,-3), B(0,5), C(2,5), D(4,9) and E(6,13)
To find the slope of a line which passes through the given points,
The slope of the line will always the same for any pair of points,
So slope of line having points (-2,-3) and (0,1)
Use slope formula = (y₂-y₁)/(x₂-x₁)
slope = (1-(-3))/0-(-2)
= 1+3/2
= 2
The slope of the line is 2.
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Please help will mark Brainly
Answer:
it is a linear function
f(x)=4x-4
Step-by-step explanation:
to find slope we use y2-y1/x2-x1
0-(-4)/1-0
4/1
4 is the slope y=mx+b is the slope intercept where m is the slope and b is the y intercept so to find intercept we look for what y equals when x is 0
when x is 0 y is -4 so the is the y intercept and we enter it into equation
y=4x-4
hopes this helps please mark brainliest
Need help dragging the dot on the graph as well
(√9)³× (√30)² what is the value of this answer
Answer:
(√9)³× (√30)²=810
Step-by-step explanation:
Lets first solve (√9)³
√9=3
3^3=27
(√9)³=27
In (√30)², the "²" and the "√" cancel out resulting in 30.
(√30)²=30
So (√9)³× (√30)² can be simplified into 27 x 30
Simplify:
27x30
10(27x3)
10(81)
810
PLEASE MARK BRAINLIESTErnesto brings his dog to training classes. The equation -60x+2y-120 = 0 relates y, the total cost of a pet's training, and x, the number of classes taken. Ernesto states that the y-intercept of the line represented by the equation is 30. Is he correct? Explain your reasoning.
Answer:
Step-by-step explanation:
Find the cost of the monthly rent for a two bedroom apartment in 30 years,assuming an annual inflation rate of 10% if the current rent is $850
17722.5 is the cost of the monthly rent for a two bedroom apartment in 30 years
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The current rent of two bedroom apartment is $850.
The annual inflation rate of 10%.
The time is 30 years
[tex]A=Pe^{rt}[/tex]
P=850
r=10%=10/100=0.1
t=30 years
Plug in these values in formula
A=850[tex]A=850e^{(0.1)(30)}[/tex]
[tex]A=850e^{3[/tex]
A=850(20.85)
A=17722.5
Hence, 17722.5 is the cost of the monthly rent for a two bedroom apartment in 30 years
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i need help asap, please don’t tell me the wrong answer
Answer:
C
Step-by-step explanation:
a relative maximum is a point from which the function starts decreasing
Evaluate the expression for the given value. πr^2, r=17
type answer in terms of pi
πr^2=
Step-by-step explanation:
r=17
pi=22/7
22/7×14×2
22×2×2=88
so i cancelled out 7 cuz 7×2 is 14 and so i made 14 as 2
Jax bought a package of plastic utensils for a picnic. There are a total of 40 utensils,
and 10 of them are knives. What percent of the plastic utensils are knives?
4) Pick the model that represents the problem.
0%
0%
?
Submit
10
10
What percent of the plastic utensils are knives?
100%
40
100%
40
Answer:
25% were knives
Step-by-step explanation:
Josh Is 9 years old and 129 cm tall. Medical chart shows that a boy's height at age 9 is 3/4 of his predicted adult height. Predict Josh's Adult height
Answer:
172 cm
Step-by-step explanation:
a=Adult height. n=9 year-old height
a*3/4=n
a*3/4=129
a*3/4 / 3/4 = 129 / 3/4
a = 129 * 4/3 ==> dividing by a number is equal to multiply by its reciprocal
a = 516/3
a = 172 cm
Line K has an undefined slope. Line M is parallel to Line K, and passes through the point (-5, 6). What is the equation of Line M?
The equation of line M that is parallel to line K is: x = -5.
What is the Equation of a Vertical Line?A vertical line has a slope that is undefined. Therefore, it has no slope, hence, the equation of the line is expressed as x = b, where b is the point on the x-axis where the line intercepts.
Since line K and line M are parallel to each other, their slope will be the same. Line K has an undefined slope, so also will the slope of line M be undefined. This means line M is a vertical line.
Given that line M passes through (-5, 6), b = -5. To write the equation of the line M, substitute b = -5 into x = b:
x = -5.
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John Rey invests $4100 in two different accounts. The first account paid 9 %, the second account paid 7 % in interest. At the end of the first year he had earned $307 in interest. How much was in each account?
John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .
Let he invested x in the first account at 9%.
Interest = Principal × rate × time
Here rate = 0.09 and time = 1 year
Interest earned = 0.09x
Amount invested at 7% = $(4100-x)
rate = 0.07 and time = 1 year
Interest earned = 0.07(4100-x)
Total interest earned is $307
Hence : 0.09x + 287 - 0.07x = 307
or, 0.02x = 20
or, x = 1000
Amount invested at 7% = $(4100 - 1000) = $3100
Therefore John Rey invested $1000 in the first account at 9% interest and $3100 in the second account at 7% interest .
Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest.
Simple interest does not change the principal amount in the same way as compound interest, which adds the interest of one year's principal to the next year's principal to calculate interest.
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Pls help me fast rapidly is of khan academy:
The two values with the same value as 18 ones and 302 thousandths, given their place values, are:
B) (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)D) 1 ten + 8 ones + 3 tenth + 2 thousands.What are place values?Place value describes the position or place of a digit in a number, which determines its numerical value.
Place values form the basis of the number system because the position occupied by a digit in a number shows its value.
The place values on the left of the decimal point include Billions, Hundred Millions, Ten Millions, Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.
After the decimal point, on the right, the place values include tenths, hundredths, and thousandths.
18 ones and 302 thousandths
= 1 ten + 8 ones + 3 tenths + 2 thousands
= (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)
Thus, 18 ones and 302 thousandths share the same place values as Options B and D.
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Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answer:
Step-by-step explanation:
Predict the cost of a meal for a family of four between $55 and $100. Be sure to include dollars and cents. Part A: If the family has a 15% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points) Part B: Calculate a 22% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (6 points)
The final cost is lie between the amount $46.00 and $92.00.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The coupon is given = 15% off
New price = Cost of meal (1 - coupon)
Now Substitute the known values in the equation;
New price = between 55(1 - 15%) and 100.00 (1 - 15%)
Evaluate;
The final cost of the meal is between $40.00 and $80.00
Tip = 22%
Thus Final cost = New price (1 + tip)
Now Substitute the known values in the equation
Final cost = Between 40.00 (1 + 22%) and 80.00 (1 + 22%)
The Final cost is Between $46.00 and $92.00
Hence, the final cost is lie between the amount $46.00 and $92.00
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How many liters of milk will jamal need to make 15 milkshake
Answer:
where are the numbers?
Step-by-step explanation:
please help answer these 5 attached questions⬇️
Answer:
The order of the answers provided are in the order of the photos uploaded in the question :)
Step-by-step explanation:
To find the perimeter we have to add the lengths of all the sides together
To find the area we have to subtract the area of the gaps by the area of the whole shape if it were to be a rectangle or square
1)
Perimeter: 4 + 2 + 2 + 4 + 2 + 6 = 20 mArea: (4 x 6) - (4 x 2) = 16 m²2)
Perimeter: 4 + 2 + 4 + 3 + 6 + 1 = 20 cmArea: (4 x 6) - (1 x 4) = 20 cm²3)
Perimeter: 8 + 6 + 2 + 2 + 6 + 8 = 32 mArea: (8 x 8) - (2 x 2) = 60 m²4)
Perimeter: 5 + 5 + 3 + 1 + 2 + 6 = 22 cmArea: (6 x 5) - (3 x 1) = 27 cm²5)
Perimeter: 6 + 2 + 3 + 3 + 2 + 3 + 1 + 2 = 22 kmArea: (6 x 5) - (3 x 1) - (3 x 3) = 18 km²Hope this helps, have a great day!!
I have a riddle.
How much dirt is in a cylindrical hole that's 3 feet deep and 2 feet wide?
(Area of cylinder=π×r^2×h)
of 16 Step 1 of 1
Teagan wants to buy a new generator. The generator costs $2050. Teagan decides to finance the generator for 24 months at an APR of 11.5%.
Determine Teagan's monthly payment. Round your answer to the nearest cent, if necessary.
01:11:21 0
Formulas
With an APR of 11.5%, Teagan decides to finance the generator for 24 months. 1.29% is Teagan's Rate.
Explain about the Interest?In its most basic form, interest is computed as a percentage of the principle. The interest you would pay, for instance, would only be 5% of $100 if you borrowed $100 from a friend and agreed to reimburse it with 5% interest: $100(0.05) = $5.
An expense associated with borrowing money or other assets is interest. The principal, which represents the amount borrowed, is what's referred to as interest, which is calculated as a percentage of the principal over a specified period of time.
The interest rate for the loan is denoted by this proportion. When you place money in a high-yield savings account, for instance, a bank will give you interest.
= 11.5 x 1/100 = 0.155
= 0.155 ÷ 12 = 0.01291
= 1.29% Rate
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Pre-Calculus A
Which of the following graphs is a function?
Graph (a) represent the equation x+2y=4, and it is a function.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
To determine the function, solve with the help of option,
(A) The graph define the equation of line x+2y = 4
For any value of x, y gives a unique value,
This satisfies the definition of function,
Therefore, graph (A) is a function.
(B)
The graph defines the function x = |y-2|
For one value of x, y has two values,
Thus, values of y are not unique.
(C)
The graph defines the equation of circle x²+y² = 1
For one value of x, y has two values,
Thus, values of y are not unique.
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3) Find the measure of angle A.
Answer:
60
Step-by-step explanation:
First set up your equation
All triangles have angles that add up to 180, this means that you can make an equation where all your sides = 180
here is the equation: 7x-3+9x-1+40= 180 (i just wrote all the sides we can see)
Then you'll want to solve for x
7x-3+9x-1+40= 180
first combine like terms. We have a 7x and a 9x, so add them together
This will give you 16x-3-1+40=180
Now since your plain numbers (no variable) are on the same side of the = sign, you can just deal with them now. You can do -3-1+40 which is 36.
Now you have 16x+36=180
Now you'll want to take 36 from both sides. 36 is positive right now so you should do the opposite and subtract it from both 180, and itself.
This leaves you with: 16x=144
You have 16x which is the same as 16 times x. You want to do the opposite again. The opposite of multiplying is dividing so divide 144 by 16. This gives you 9 which is your x value.
Now one last thing. to get A on the triangle you can plug your X value (9) into the equation it gave you (7x-3)
this looks like 7(9)-3. 7 times 9 is 63. 63 -3 is 60.
(you can check your answer by plugging 9 into the other equation and adding everything up. it will equal 180)
Scarlett has a coin collection. She keeps 7 of the coins in her box, which is 20% of the collection. How many total coins are in her collection?
The total number of coins is 35
How to determine the total number of coins?From the question, we have the following parameters that can be used in our computation:
Number of coins in the box = 7
Proportion of coins in the box = 20%
These parameters mean that
Number of coins in the box = Proportion of coins in the box * Total number of coins
Substitute the known values in the above equation, so, we have the following representation
7 = 20% * Total number of coins
Divide both sides by 18%
Total number of coins = 35
Hence, the total number of coins is 35
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Solve |5x| = 12. Choose all answer that apply.
Answer:
17 and -7
Step-by-step explanation:
5 - 17 is -12.
5 - (-7) is 12.
Since we are looking at the absolute value, the sign doesn't matter.
Please help me solve
The value of the equation 2A - 4B from the given matrices is [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .
In the question ,
it is given that ,
the matrix A is A = [tex]\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
and the matrix B is B = [tex]\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
we need to find the value of the equation 2A - 4B ,
Step 1: multiplying the matrix A with 2 ,
we get ,
2A = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
Step 2 : multiplying the matrix B with 4 ,
we get ,
4B = [tex]\left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So , the equation is represented as
2A - 4B = [tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2-28&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
After further simplification ,
we get ,
= [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Therefore , The value of the equation 2A - 4B from the given matrices is [tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex] , the correct option is (c) .
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Solve the system for 20 points. :)
Answer: C
Step-by-step explanation:
x ∈ R
Please help and thank you
Daniella: Were you thinking of perpendicular lines?
Ori: It seems like you've got the basic idea, but your definition could be more precise.
Kaori: Yes! Well done. Here, have a cookie. You've earned it.
Please help! I need this by tonight thanks :)
The linear function that represents the situation is y = 1/13x + 3229
Linear function:
The general form of the linear function can be written as,
y = mx + c
where
m refers the slope of the function
c refers the y intercept of the function
Given,
Here we have the table of values.
Now, we have to find the linear equation for this table and we have also need to find the value of C(0).
In order to calculate the linear function of the table, we need the slope and intercept of the given table,
In order to find that, we need a point values.
The point values are obtained from the given table as,
=> (8, 249) and (13, 314)
Now, the slope is calculated as,
=> m = (13 - 8) / (314 - 249)
=> m = 5 / 65
=> m = 1/13
Now, the intercept is calculated as,
=> 249 = 1/13 (8) + c
=> 3337 = 8 + c
=> c = 3229.
Therefore, the linear function of the table is y = 1/13x + 3229.
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A Chevrolet Sonic Hatchback costs $ 14 , 800.00 $14,800.00. With a 12 12 % % down payment, you can have an amortized loan for 6 6 years at a rate of 4.5 4.5 % %. What will the monthly payment be? Car cost in total, interest will be paid money
The monthly payment, car cost in total, and the interest to be paid, based on the loan amount and the number of years are:
Monthly payment - $206.74Car cost in total - $14, 885. 52Interest to be paid - $1, 861.52How to find the interest to be paid?First, find the loan amount:
= Cost of car x ( 1 - down payment percent)
= 14, 800 x ( 1 - 12%)
= $13, 024
Then find the monthly rate and the number of periods:
Monthly rate:
= Yearly rate / 12 months per year
= 4.5% / 12
= 0.375%
Number of periods:
= Number of years x Months per year
= 6 years x 12
= 72 months
Using these, the monthly payment can be found by the formula:
= Loan amount / Present value interest factor of annuity, 72 periods , 0.375%
= 13, 024 / 62.995976235992
= $206.74
Total cost paid on loan for car:
= Monthly payment x Number of months
= 206. 74 x 72
= $14, 885. 52
This means that the total interest paid was:
= Total amount paid on cost of car - Loan amount
= 14, 885.52 - 13, 024
= $1, 861.52
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Please help will mark Brainly
Answer:
f(x) = - 2x + 4
Step-by-step explanation:
Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.
We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).
So, the new equation would be f(x) = -2x + 4
Step-by-step explanation:
it simply means that g(x) is f(x) just shifted 3 units upwards.
that means nothing else changes, only whatever y result f(x) produces is increased by 3.
so,
g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4
therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.
the slope stays the same (g(x) is simply a parallel line to f(x)).
the y-intercept (the y-value when x = 0) also increases by 3, and is 4.
the x-intercept (the x-value when y = 0) changes :
0 = -2x + 4
2x = 4
x = 2
the x-intercept is 2.
At the city meusum, child admission is $5.10 and the adult admission is $8.30. On Saturday, four times as many adult tickets were sold, for a total of sales of $9119.20. How many child tickets were sold that day?
Answer:
238
Step-by-step explanation:
child: $5.10
adult: $8.30
4 times as many adult as children
total: $9119.20
Let c = number of child tickets.
Let a = number of adult tickets.
5.1c + 8.30a = 9119.2
a = 4c
5.1c + 8.3(4c) = 9119.2
38.3c = 9119.2
c = 238.099
There must be a mistake with the numbers because the number of child tickets must be a whole number.
