Answer:
$68.10
Step-by-step explanation:
Your wording is confusing, btu I assume that you mean the stock increases by 5.4% each year. If that’s the case, you have to use the equation 40.25(0.054+1)^10. 40.25 represents your starting value. 0.054 represents the value change in decimal form and the +1 is because your stock is increasing, which means you need to add 1 so it actually increases. the power of 10 is the 10 year period of your stock increasing. So, if you simplify that, you get 68.10 (Remember, you have to round your answer to the nearest hundredth because it is cents). And, you should get 68.10.
Round the number 21,498.2536 to the nearest Indieated place
tenth
Answer:
21,498.3
Step-by-step explanation:
This is the answer because:
1) The tenths place is right after the decimal point. In this case, the number is 2. The rounding number is right next to 2.
2) The rounding number is 5. Since the rounding number is greater or equal to 5, the number rounds up. Therefore, the number rounds to 3 from 2
Hope this helps!
When adding two vectors, A and B, graphically, you will get the same vector sum (resultant) if you draw A first or if you draw B first. True False
True. The order in which the vectors A and B are drawn does not affect the resultant vector when they are added graphically.
When adding vectors graphically, you represent each vector as an arrow with its magnitude and direction. To find the resultant vector, you place the tail of vector B at the head of vector A (or vice versa), forming a triangle. The resultant vector is then drawn from the tail of the first vector to the head of the second vector. The order in which you draw the vectors does not alter the resulting triangle or its sides.
Mathematically, vector addition is commutative, which means that the order of addition does not change the result. In this case, adding vector A first and then vector B is equivalent to adding vector B first and then vector A. The resultant vector will have the same magnitude and direction regardless of the order in which the vectors are added.
Therefore, whether you draw vector A first or vector B first, you will obtain the same vector sum (resultant) when adding them graphic ally.
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18 gallons of gas cost $45.54. What is the unit rate for 1 gallon of gas?
Answer:
2.53
Step-by-step explanation:
divison
Alex has five cups of strawberries. He wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose. Grade 5
Alex has five cups of strawberries and wants to use 1 3/4 cups of strawberries for a fruit salad and 3 1/2 cups for jam. Alex has enough strawberries to make both recipes.
To check if Alex has enough strawberries, we add the amount of strawberries needed for the fruit salad (1 3/4 cups) and the amount needed for the jam (3 1/2 cups)
1 3/4 cups + 3 1/5 cups
= 1 + 3/4 + 3 + 1/5
Multiplying 3/4 with 5/5 and 1/5 with 4/4 to make denominator equal
= 1 + 15/20 + 3 + 4/20
= 4 + 19/20
= 4 19/20 cups
4 19/20 is less than 5 cups. So Alex has enough strawberries for both recipes.
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ANSWER SOON!!!!!!!!!!!!!!!!!! ASAP
Which group of words sound the most like a theme?
I love my friends.
True friends stay together through good times and bad.
I get angry at my friends.
Jess is my best friend
I would say it would be "True friends stay together through good times and bad" because it gives a moral of a story.
Answer:
True friends stay together through good times and bad.
Step-by-step explanation:
your bedroom sock drawer contains 4 green socks and 6 yellow socks that are mixed together. the light in your room is broken so you must select your socks in the dark. what is the probability you will select two socks of the same color on your first try?
The probability of selecting two socks of same color is 0.96.
According to the given question.
Total number of green socks = 4
Total number of yellow socks = 6
So, the total number of socks in a drawer = 4 + 6 = 10
Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.
So, the probability of selecting a green scoks = 4/10 = 2/5
And the probability of selecting a yellow socks = 6/10 = 3/5
Therefore, the probability of selecting two socks of same color
= probability of selecting both the green socks or probability of selecting both the yellow socks
= [( 2/5) + (2/5)] × [(3/5)+(3/5)]
= (4/5) × (6/5)
= 24/25
= 0.96
Hence, the probability of selecting two socks of same color is 0.96.
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(01.02 MC)
Which of the following describes the correct process for solving the equation 2x - 6 = 22 and arrives at the correct solution?
A. Divide both sides by -6 and then add 2. The solution is x = 8.
B . Add 6 to both sides of the equation, and then divide by 2. The solution is x = 14.
C. Subtract 6 from both sides of the equation, and then divide by 2. The solution is x = 7.
D .Add 6 to both sides of the equation, and then divide by 22. The solution is x = -14.
The statement that describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution is: C. Subtract 6 from both sides and then divide by 2.
EquationGiven:
Equation= 2x - 6 = 22
Solving for x
Hence:
2x - 6 = 22
Re-arrange and substract 6 from both side
2x=22-6
2x=16
Divide both side by 2x
x=16/2
x=8
Therefore the statement that describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution is: C. Subtract 6 from both sides and then divide by 2.
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please help!! ill rate 5 and like!!
Answer:
2x < 5
2x/2 < 5/2
x < 5/2
x ∈ ( -∞, 5/2 )
Step-by-step explanation:
HELP!!!
How many millimeters long is the missing side?
There is a screenshot of it below
Answer:
8
Step-by-step explanation:
18-12
12-X
X=12*12/18
X=8mm
Name the variables: 25( a+ xy)
Answer:
a, x, y
Step-by-step explanation:
estimate how much ke is there in an average size helium balloon, the kind you would see at a kid's birthday party.
We can estimate that there is about 1000 joules of kinetic energy in an average size helium balloon.
The amount of kinetic energy in an average size helium balloon can be estimated using the ideal gas law and the equipartition theorem.
Assuming the balloon is filled with helium at room temperature (around 298 K) and atmospheric pressure (around 1 atm), the volume of the balloon can be estimated to be around 0.5 m^3. The number of helium atoms in the balloon can be estimated using Avogadro's number, which is around 6.02 x 10^23.
Using the equipartition theorem, we can estimate the average kinetic energy of each helium atom in the balloon. At room temperature, each atom has an average kinetic energy of (3/2)kT, where k is the Boltzmann constant (1.38 x 10^-23 J/K).
Therefore, the total kinetic energy of the helium atoms in the balloon can be estimated as:
KE = (3/2)kT * N
where N is the number of helium atoms in the balloon.
Plugging in the estimated values, we get:
KE = (3/2) * (1.38 x 10^-23 J/K) * 298 K * 6.02 x 10^23
KE ≈ 9.95 x 10^2 J
Therefore, An average-sized helium balloon contains roughly 1000 joules of kinetic energy, according to our estimation. It's important to note that this is just an estimate, and the actual amount of kinetic energy in a helium balloon can vary depending on a number of factors such as the temperature, pressure, and size of the balloon.
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What is the equation for the line of reflection? pls help
Step-by-step explanation:
Equation for the line of reflection is the diagonal line y = x.
a gardener uses a total of 61.5 gallons of gasoline in one month. of the total amount of gasoline, was used in his lawn mowers. how many gallons of gasoline did the gardener use in his lawn mowers in the one month? to get credit, you must show all of your work. answers only will be counted as incorrect (whether it is correct or not!) question 4 options:
The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.
Let's say the amount of gasoline used in the lawn mowers is x gallons.
Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.
Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:
x + (61.5 - x) = 61.5
Simplifying this equation, we get:
x + 61.5 - x = 61.5
Combining like terms, we get:
61.5 = 61.5
This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.
Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.
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8. How many unit cubes would it take
to make a model of a rectangular
a
prism that is 11 units long x 7 units
wide X 5 units high?
Answer:
385 cubes
Step-by-step explanation:
11*7*5=385 cubes
Select all the expressions which are equivalent to -5/2z-5/6
All the expressions which are equivalent to -5/2z-5/6 are given below.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
-(5/2)z - 5/6
Simplifying,
-(5/2)z - 5/6,
= -5(z/2 + 1/6) is an equivalent expression.
= -5/2 (z + 1/3) is an equivalent expression.
Therefore, -5(z/2 + 1/6) and -5/2 (z + 1/3) are the equivalent expressions
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As of July 1, 2014, the population of India was about 1,267,000,000. How can you write this number in scientific notation?
1. Move the decimal point to the right of the first digit. What is the first factor?
2. Count the number of digits after the decimal point. How many places did you move the decimal point?
3. Did you move the decimal point to the right or to the left? What does this tell you about the power of 10 in the second factor?
4. What is the second factor written as a power of 10?
5. Write the population of India in scientific notation.
Answer:
1 I think its 1.267000000
Step-by-step explanation:
a gum manufacturer wants to determine whether blue packaging or red packaging is preferred. the company performs a sales test by introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, random sample of ten stores. the technique most appropriate for analyzing the data is
The technique most appropriate in introducing red packages into a random sample of ten stores, and blue packages are introduced in an independent, for analyzing the data is the Independent Samples T-test for means.
The test examines the means of two independent groups to see if there is statistical evidence that the related population means differ considerably. A parametric test is the Independent Samples t Test.
The Independent Samples t Test is frequently used to test the following variables: Statistical disparities between two groups' means, statistical differences between two interventions' means, and statistical differences between the means of two change scores. When comparing the means of exactly two groups—no more and no less—use an independent samples t-test.
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your home feels cold to you at 60 f. you turn up the heat in order to raise the temperature by 15 degrees. what will the resulting temperature be
Answer:
45f.
Step-by-step explanation:
home is 60f.cold
we turn heat in order to raise the temprature by15
and 60minus 15 is 50
Answer:
75f
Step-by-step explanation:
since you raise the temperature you need to add those 2numbers together so 60+15=75f degrees
Hi hope your having a good day please answer this
In a scale model of a ferris wheel, the height is 8 inches. If the actual height of the wheel is 96 feet, what is the scale of the model?
A. 1 in = 12.5 ft
B. 1 in = 12 ft
C. 1 in = 16 ft
D. 1 in = 11 ft
Answer:
12 simple division
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Solve
X =
4-x
(21/7) ¹-*
-x = 92x-1
Answer:
49 it all good if was 29 or 39 thank me axter
calculate the surface area and then the volume
Answer:
To calculate the surface area and volume of a cylinder, we can use the following formulas:
a) Surface Area of a Cylinder:
The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.
The formula for the surface area of a cylinder is:
SA = 2πr² + 2πrh
Where:
SA = Surface Area
r = Radius of the base (half the diameter)
h = Height of the cylinder
Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.
Substituting the values into the formula, we get:
SA = 2π(8)² + 2π(8)(20)
= 2π(64) + 2π(160)
= 128π + 320π
= 448π
So, the surface area of the cylinder is 448π square yards.
b) Volume of a Cylinder:
The formula for the volume of a cylinder is:
V = πr²h
Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:
V = π(8)²(20)
= 64π(20)
= 1280π
The volume of the cylinder is 1280π cubic yards.
What is the equation of the central street pq
-7x+3y=-21.5
The function can be written as - y = (7/3)x - (21.5/3).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
- 7x + 3y = - 21.5
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.The given equation is -
- 7x + 3y = - 21.5
3y = - 21.5 + 7x
y = - (21.5/3) + (7/3)x
y = (7/3)x - (21.5/3)
Therefore, the function can be written as -
y = (7/3)x - (21.5/3).
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Convert the given from of the function into the other two forms
Step 1: Standard form to vertex form of rows 1 and 2:
\(\begin{gathered} S\tan dard\text{ form} \\ y=ax^2\text{ + bx + c} \\ \text{Vertex form } \\ y\text{ = }a(x-h)^2\text{ + k} \end{gathered}\)Standard form of row 1 to vertex form
\(\begin{gathered} y=x^2\text{ - 2x - 3} \\ y=x^2-2x+1^2-3-1^2 \\ \text{y = (x -1 )}^2\text{ - 3 - 1} \\ y=(x-1)^2\text{ - }4 \end{gathered}\)Intercept form of row 3 to vertex form.
\(\begin{gathered} y\text{ = (}x\text{ + 2)(x - 3)} \\ y=x^2\text{ - 3x + 2x - 6} \\ y=x^2\text{ - x - 6} \\ y=x^2\text{ - x + (}\frac{1}{2})^2\text{ - 6 - (}\frac{1}{2})^2 \\ y\text{ = (x - }\frac{1}{2})^2\text{ - 6 - }\frac{1}{4} \\ y\text{ = (x - }\frac{1}{2})^2\text{ - }\frac{25}{4} \end{gathered}\)Standard form to intercept form row 1
\(\begin{gathered} y=x^2\text{ - 2x - 3} \\ \text{method: factorize} \\ y=x^2\text{ - 3x + x - 3} \\ y\text{ = x(x - 3) +1( x - 3)} \\ y\text{ = (x + 1)(x - 3)} \end{gathered}\)Intercept form to standard form row 3
\(\begin{gathered} y\text{ = (x + 2)(x - 3)} \\ y\text{ = x(x - 3) + 2(x - 3) by distribution} \\ y=x^2\text{ - 3x + 2x - 6} \\ y=x^2\text{ - x - 6} \end{gathered}\)Vertice form to intercept fomr
Five candy bars cost 3.23.how much will 7 candy bars cost
Answer:
3.23/5=.646
.646*7=4.522
rounded is $4.52
Step-by-step explanation:
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Dilate triangle A by scale factor of 1/3 translate it three units up and two units to the right and rotate it 90 degrees clockwise about the origin (pls ss graph and draw on it)
Please look at the image, I was unsure of the dilation point so I just did it off the center. Green pen is your original, Neon Pink is dilation, Darker Pink is the translation, Blue is the rotation.
the director of fitness for a large corporation with over 5,000 employees recorded the resting heart rate, in beats per minute (bpm) , for 35 employees who were known to wear activity trackers. the following boxplot summarizes the results. the director wants to estimate the resting heart rate for all employees with a confidence interval. have all conditions for inference been met?
The director of fitness for a large corporation with over 5,000 employees recorded the resting heart rate, in beats per minute (bpm), for 35 employees who were known to wear activity trackers. The following boxplot summarizes the results.
The director wants to estimate the resting heart rate for all employees with a confidence interval. Have all conditions for inference been met?Solution:Yes, all conditions for inference have been met.The given boxplot represents the resting heart rate, in beats per minute (bpm), for 35 employees who were known to wear activity trackers.
As the sample size is greater than 30, we can use the normal distribution to create a confidence interval. Additionally, there are no outliers in the data, which suggests that the data is normally distributed. Therefore, we can conclude that all conditions for inference have been met.
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the ____ leadership theory paradigm emphasizes the importance of situational factors.
Answer: contingency leadership
Step-by-step explanation:
to graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. where do you come up with the values to use in the graph
When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.
The T-chart employs positive real numbers since this is the most typical form of exponential function.
Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.
The exponential function can be represented by the following equation:
\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.
When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.
The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.
Therefore, the correct answer is option A.
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Cincinnati Ohio is 540 miles due east of Kansas City Missouri the bearing from Kansas City to Nashville Tennessee is south 64° east the bearing from Cincinnati to Nashville is south 29° west find the distance from Kansas City to Nashville
y = 237 mi the distance from Kansas City to Nashville.
Given that:
Direction is the information contained in the relative position of one point with respect to another point without the distance information. Directions may be either relative to some indicated reference or absolute according to some previously agreed upon frame of reference.
Cardinal directions
The four cardinal directions or cardinal points are:
1.North
2.East
3.South
4.West
Cincinnati ohio is 540 miles due east of kansas city missouri the bearing from Kansas City to Nashville Tennessee is south 64° east the bearing from Cincinnati to Nashville is south 29° west find the distance from Kansas City to Nashville.
\(\frac{sin23}{540}\) = \(\frac{sin26}{y}\)
\(\frac{ysin93}{sin93}\) = \(\frac{540sin26}{sin93}\)
y = 237 mi
y = 237 mi the distance from Kansas City to Nashville.
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CARD GAME PROBLEM
A card game for 2-6 players has a deck of cards that can always be divided evenly among
all the players. What is the smallest possible number of cards that can be in the deck?
Answer:
120 cards
Step-by-step explanation:
2,3,4,5, and 6 are all factors of 120