Answer:
20
Step-by-step explanation:
PLEASE HELP! The height of a bottle rocket, in meters, is given by \(h(t) = -3t^{2} +36t+300, where t is measured in seconds. Compute the average velocity of the bottle rocket over the time interval t = 3 to t = 6.
Answer:
63 m/s
Step-by-step explanation:
h(3) = 3(3)² + 36(3) + 300 = 435
h(6) = 3(6)² + 36(6) + 300 = 624
v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s
I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
Answer:
344
Step-by-step explanation:
Um..... sorta confusing, but I think you are only allowed to increase by 10 each time, so then you need to add 20 to make 344, where the units digit and tens digit are the same
if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
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In the following alphanumeric series, what letter comes next? V, Q, M, J, H, …
According to the given information, the letter that comes next in the given alphanumeric series is "N".
What is alphanumeric series?
An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.
The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.
Therefore, the letter that comes next in the given alphanumeric series is "N".
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Two numbers are graphed on the line below. Consider the inequality t
Answer:
-7<-3
Step-by-step explanation:
T=-7
R=-3
A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation:
What is the quotient? 2y2-6y-20/4y+12
Answer:
last 4rd
Step-by-step explanation:
The Cost is 3.60 for 1/2 a pound of Candy. What is the cost for 2 pounds?
$7.20
$3.60 times 2 is $7.20
Answer:
$14.40
Step-by-step explanation:
trust me
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)
What is the total surface area
Answer:
Step-by-step explanation:
Will give brainliest to whoever solves this properly, Please help me
The positions will be filled in 56,280 ways
How to find the number of waysThere are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows
For the position of president
11 combination 1 = 11
For the position of secretary
10 combination 1 = 10
For the position of treasurer
10 combination 1 = 10
For the position of three directors
8 combination 3 = 56 ways
the total number of ways to fill these positions is
11 x 10 x 9 x 56 = 56,280.
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How can you write arithmetic and geometric sequences using recursive and explicit formulas modeled in a real world context?
Answer:
The answer is below
Step-by-step explanation:
They would be written like this:
Arithmetic Progression:
Explicit formula
Tn = a + (n-1) * d
Recursive formula
Tn = Tn-1 + d
Where a is the first term, d is the common differance and n is the number of terms.
Geometric Progression:
Explicit formula
Tn = a * r ^ (n-1)
Recursive formula
Tn = Tn-1 * r
Where r is common ratio
What is the volume of a gift box in the shape of a rectangular prism that is 3.5 inches high, 7 inches long, and 6 inches wide
Answer:
V=147
Step-by-step explanation:
V=whl
V=6 inches*3.5 inches*7 inches
V=147
Your bank account pays an interest rate of 8%. You are considering buying a share of stock in xyzzy corporation for 4119.00. After 1,2, and 3 years, it will pay a dividend of $5.00. You expect to sell the stock after 3 yearsv for $120.00. Is xyz corporation a good investment? Support your answer with calculations.
Investment in the share of stock in xyzzy corporation is not a good investment.
Is the investment good?In order to determine if the investment is a good investment, the present value of the cash flows from the investment has to be determined. The investment is a good investment if the present value of the cash flows is equal or greater than the cost of the stock.
Present value is the sum of the discounted cash flows from a project.
Present value = 5 / 1.08 + 5 / 1.08² + 5 / 1.08³ + 120 / 1.08³ = 108.15
The present value of the cash flows is less than the cost of the stock today. This means that the stock is not a good investment.
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Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).
1. Start by calculating the distance between the vertices of the original triangle ABC:
- Distance between A(4, 3) and B(3, -2):
Δx = 3 - 4 = -1
Δy = -2 - 3 = -5
Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26
- Distance between B(3, -2) and C(-3, 1):
Δx = -3 - 3 = -6
Δy = 1 - (-2) = 3
Distance = √((-6)² + 3²) = √45 = 3√5
- Distance between C(-3, 1) and A(4, 3):
Δx = 4 - (-3) = 7
Δy = 3 - 1 = 2
Distance = √(7² + 2²) = √53
2. Apply the scale factor of 1.5 to the distances calculated above:
- Distance between A' and B' = 1.5 * √26
- Distance between B' and C' = 1.5 * 3√5
- Distance between C' and A' = 1.5 * √53
3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):
- A' is located Δx units horizontally and Δy units vertically from A.
- Δx = 1.5 * (-1) = -1.5
- Δy = 1.5 * (-5) = -7.5
- Coordinates of A':
x-coordinate: 4 + (-1.5) = 2.5
y-coordinate: 3 + (-7.5) = -4.5
4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).
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Need help asap! Please and thank you
Answer:
D
Step-by-step explanation:
Solve the system of three linear equations containing three unknowns.
x - 3y + 4z = 25
2x + y + z =
8
- 2x + 3y - 32 = -24
Answer:
sorry
Step-by-step explanation:
I don't know how to solve it
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $15, and tickets cost $12.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
100
Step-by-step explanation:
. the creators of spss statistics have combined ratio and interval variables into one category that they refer to as
Numeric Variables, as they are referred to by the creators of SPSS Statistics, are a combination of ratio and interval variables.
Numeric Variables are a type of data used in statistical analysis, and are a combination of both ratio and interval variables. Ratio variables are those that can be measured, counted, and compared, and include ratios and differences between values. Interval variables are those that measure an amount, such as temperature, but are not able to be compared in terms of ratios or differences. The creators of SPSS Statistics refer to these combined variables as Numeric Variables. Numeric Variables can be used to measure and compare data, as well as to create graphs and charts. They are particularly useful in understanding the relationships between different sets of data.
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Determine which of the following is a geometric sequence.
A. 2, 5, 8, 11
B. 2, -6, -18, -24
C. 3, -6, 12, -24
D. 3, 6, 18, 36
Step-by-step explanation:
A is in geometric sequence as 3 is added in the number,
2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11
hope this answer helps you dear...take care and may u have a great day ahead!
2x^3 - 4x^2 - 50x + 100 factoring completely
The factor is 2(x−2)(x+5)(x−5).
From the question, we have
2x³−4x²−50x+100
=2(x−2)(x+5)(x−5)
Factors :
The positive integers that can divide a number evenly are known as factors in mathematics. Let's say we multiply two numbers to produce a result. The product's factors are the number that is multiplied. Each number has a self-referential element. There are several examples of factors in everyday life, such putting candies in a box, arranging numbers in a certain pattern, giving chocolates to kids, etc. We must apply the multiplication or division method in order to determine a number's factors.The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.
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Condense each Logarithm
The equation of logarithm are solved and
a) A = 2 + 3 log x + 4 log b
b) B = ( 36 + x + y ) ( log 6 )
c) C = ( 1/2 )x log 5
d) D = ln ( x⁴ / y² )
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
a)
A = 2 log 10 + 3 log x + 4 log b
The base of the logarithm is 10 , so
A = 2 + 3 log x + 4 log b
b)
B = log 6³⁶ + log 6ˣ - log 6^ ( y )
From the properties of logarithm , we get
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
B = 36 log 6 + x log 6 + y log 6
On taking the common term , we get
B = ( 36 + x + y ) ( log 6 )
c)
C = ( 1/2 )log 5ˣ
From the properties of logarithm , we get
C = ( 1/2 )x log 5
d)
D = 4 ln x - 2 ln y
From the properties of logarithm , we get
D = ln x⁴ - ln y²
On further simplification , we get
D = ln ( x⁴ / y² )
Hence , the logarithmic equations are solved
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what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
A store purchased a set of golf clubs for $90.70 and marked it up 150%. During a sale, the
store marked it down 80%. What was the discount price of the set of golf clubs?
Answer:
$181.4
Step-by-step explanation:
Note,
purchase price = $90.70.initial markup of 150% = $90.70 * (150% or 150/100) + $90.70 = $226.75 ($136.05 + $90.70). Hence, this became the intended sale price wanted by the store.mark down (-) 80% = $226.75 * (80% or 80/100) = $181.4.Therefore, the store applied a discount price of $181.4 to the set of golf clubs.
plz help! WILL GIVE BRAINLIEST
Answer:
3x+7=y
Step-by-step explanation:
: Find the value of the trigonometric ratio. Make sure to simplify the If needed
Answer:
24/7
Step-by-step explanation:
tan A = opp/adj
For angle Z, the adjacent leg is 14, and the opposite leg is 48.
tan Z = 48/14
tan Z = 24/7
Please help and tell me how you got the answer I will give brainliest
Answer:
32%
Step-by-step explanation:
136/200 broke. We want to know how many eggs out of 100 broke, so we need to set up an equivalent proportion.
136/200=x/100
Cross multiply.
13600=200x
Divide both sides by 200.
68=x
Since 68 percent broke, that means the other 32 percent survived.
HTH :)
68. Evaluate - 2a + 6b when a = 6 and b = -3
-2a + 6b
= -2(6) + 6(-3)
= -12 + (-18)
= -30
\(\huge\textsf{Hey there!}\)
\(\huge\textsf{-2a + 6b}\)
\(\huge\textsf{= -2(6) + 6(-3)}\)
\(\huge\textsf{= -12 + (-18)}\)
\(\huge\textsf{= -12 - 18}\)
\(\huge\textsf{= -30}\)
\(\huge\textsf{Therefore, your answer is: -30}\)
\(\huge\textsf{Good luck on your assignment \& enjoy your day! }\)
~\(\huge\textsf{Amphitrite1040:)}\)john has just opened a savings account at sugar land united bank with a $250 deposit. he plans to deposit $50 into his savings account twice a month. which equation best represents the problem if y represents the total amount of money in his savings account and x represents the number of months John has been saving money?
a. y = 250 + 50x
b. y = 50x - 250
c. y = 100x + 250
d. y = 100x - 25
Answer:
the answer is c my good sir or mam
What is percent 10 1/4 of 66?