Answer:
Step-by-step explanation:
112-4x = 144
-4x = 32
x = -8 incorrect answers
In
= 2n+2n²
find the first five terms
\(t(n) = 2 {n}^{2} + 2n \)
_________________________________
\(t(1) = 2 ({1})^{2} + 2(1) \)
\(t(1) = 2 \times 1 + 2 \times 1\)
\(t(1) = 2 + 2 = 4\)
##############################
\(t(2) = 2 ({2})^{2} + 2(2) \)
\(t(2) = 2 \times 4 + 2 \times 2\)
\(t(2) = 8 + 4 = 12\)
##############################
\(t(3) = 2 ({3})^{2} + 2(3) \)
\(t(3) = 2 \times 9 + 2 \times 3\)
\(t(3) = 18 + 6 = 24\)
##############################
\(t(4) = 2 ({4})^{2} + 2(4)\)
\(t(4) = 2 \times 16 + 2 \times 4\)
\(t(4) = 32 + 8 = 40\)
##############################
\(t(5) = 2 ({5})^{2} + 2(5) \)
\(t(5) = 2 \times 25 + 2 \times 5\)
\(t(5) = 50 + 10\)
\(t(5) = 60\)
_________________________________
And we're done.
Thanks for watching buddy good luck.
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I NEED HELP PLEEEEEAAAAASSSSSEEEEE!!!!!
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition?
A.) 2 + x + 3y
B.) (2 + x) + 3y
C.) 2x + (3 + y)
D.) x + (2 + 3y)
Find the measure of the indicated angle x
Answer:
36°
Step-by-step explanation:
all the interior angles of a triangle add up to 180°
78 + 66 = 144
180 - 144 = 36°
Answer:
sum of all the sides of a triangle= 180° 78°+66°+x = 180° x = 180° - (78° + 66°) = 180° - 144° = 36° x = 36°Ans. = the value of x is 36°.a giant beach ball has a diameter of 6 feet. how much air is needed to blow it up?
The amount of air needed to blow up the giant beach ball with a diameter of 6 feet is approximately 113.1 cubic feet.
When we want to blow up a beach ball, we need to add air to it until it expands and reaches its full size. The amount of air we need to add depends on the size of the beach ball, and in this case, we are given the diameter of the ball.
To calculate the amount of air we need, we first need to find the volume of the beach ball. The volume of a sphere, which is the shape of the beach ball, is given by the formula:
V = \((4/3) * \pi * r^3\)
where V is the volume, pi is the mathematical constant, around 3.14, and r is the sphere's radius.
We are given the diameter of the beach ball, which is 6 feet. The radius is half of the diameter, or 3 feet. This value can be used to simplify the formula by substituting it in:
V = \((4/3) * \pi * 3^3\)
V = \((4/3) * \pi * 27\)
V = 113.1 cubic feet (rounded to one decimal place)
So the volume of the beach ball is approximately 113.1 cubic feet. This means that we need to add 113.1 cubic feet of air to the beach ball to fully inflate it.
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How many cups of potatoes are needed if 1 cup of diced ham is used? Will choose brainliest
Answer:
I think it would be about 4 2/5
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a tuxedo rental service charges $150 flat fee for a suit plus $50 per additinal day. The total cost of the tuxedo is $300. How many days was the tuxedo rental for?
The tuxedo was rented for 4 days.
Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).
From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:
$150 + $50x = $300
Subtracting $150 from both sides, we get:
$50x = $150
Dividing both sides by $50, we get:
x = 3
So the tuxedo was rented for 3 additional days, making the total number of days rented:
d = 1 + 3 = 4
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Hi i need help, the picture is above.
Shade the correct number of parts to show 1/2. Complete the equation 1/12 + = 1/2
Answer:
5/12
Step-by-step explanation:
So, first you do 2/12 - 1/2. Answer will be 5/12
Hope this helps you. :)
Solve.
3.12 - 0.6 =
help!
The answer is 2.52
I hope this helps you!
Answer:
Step-by-step explanation:
3.12 - 0.6 = 2.52
−0.22+�−0.33−0.22x+x−0.33x?
The answer to the equation −0.22x + x − 0.33x is 0.11x.
The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:
−0.22x + x − 0.33x = −0.22 + 0.33x
We then subtract x from both sides of the equation, resulting in:
−0.22x − x = −0.22 + 0.33x − x
We then combine like terms on the left side of the equation, resulting in:
−1.22x = −0.55
Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:
x = 0.11
Therefore, the answer is 0.11x.
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Complete question
What is the value of -0.22+−0.33−0.22x+x−0.33x?
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Find the y intercept coordinate pair.
A. (0, 5)
B. (18, 0)
C. (1, 2)
D. (-2, 11)
Answer:
it'd be (0, 5) it sits on the y line so it's the only y intercept
Answer:
y=-3x+5
Step-by-step explanation:
It start from its starts from 5 on the y axis, and goes down by 3 so its negitive. So y=-3x+5
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
a tree casts bla bla blah
Using trigonometric ratio and angle of elevation, the value of x and y are 128.7ft and 176ft respectively.
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
In the given problem, we can use the concept of trigonometric ratios to find the value of x and y.
Since we have the value of adjacent and the angle, we can use either tangent of the angle to find x or cosine of the angle to find y.
tan 47 = opposite / adjacent
tan 47 = x / 120
x = 120 tan 47
x = 128.7ft
Using cosine of the angle;
cos 47 = adjacent / hypothenuse
cos 47 = 120 / y
y = 120 / cos 47
y = 176ft
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Find three consecutive integers whose sum is 51.
Answer:
16,17,18
your welcome
If the following figure is a square, solve for X
Answer:
Step-by-step explanation:
It is a square so every angle is 90°. As diagonal bisects, the angles of square means that 90/2=45 So,
6x-21=45
6x=66
x=11°
Note: Diagonal only bisects the angle in the square, not in every figure.
You volunteer to help drive children at a charity event to the zoo, but you can fit only 6 of the 18 children present in your van. How many different groups of 6 children can you drive?
Combinations have allowed us to determine that there are 38760 different groups of six children that you can drive.
What are combinations?A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
The number of permutations/k! is the formula for computing the number of combinations. n!/(n-k) is the number of permutations!
Hence, the number of combinations is (n!/(n-k)!)/k!
So, there are 20 children in total.
There are 6 students who can fit in the van.
The maximum number of 6-child groups that the van can accommodate.
²⁰C₆
n! = n(n-1)(n-2)(n-3).......1
= (20 x 19 x 18 x 17 x 16 x 15) / (6 x 5 x 4 x 3 x 2)
= 4 x 19 x 2 x 17 x 15
= 38760
Therefore, combinations have allowed us to determine that there are 38760 different groups of six children that you can drive.
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Complete question:
You volunteer to help drive children at a charity event to the zoo. But you can fit only 6 of 20 children present in your van. How many different groups of 6 children can you drive?
Relative intensity of 9 decibels is how many times higher than that of 8 decibels
Answer:
what do you mean by land ?
The intensity of sound is proportional to the square of its amplitude.
Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:
I9/I8 = (10^(9/10))/(10^(8/10))
I9/I8 = 10^(0.1)
I9/I8 = 1.2589
Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
what is (9x+8)^2-54x+48y
Answer:
81x² + 90x + 48y + 64
Step-by-step explanation:
(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64
= 81x² + 144x + 64
then:
(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64
Find the Measure of each angle.
Answer:
x = 10
Step-by-step explanation:
to find the measure of angles we first need to find the value of x
The sum of interior angles in a triangle is equal to 180
9x + 7x + 2x = 180 add like terms
18x = 180 divide both sides by 18
x = 10 to find angle measures replace x with 10 in each representative like:
m<L = 9x and 9*10 = 90 and so on
At the local Theatre of the Arts, tickets cost $4 for children and $5 for adults. In the opening Saturday night of a play, the theater made $540. The second day was a matinee and the prices were lower for children at $3 and the same price as Saturday for adults. They made $440 at the matinee.
A) Write a system of equations in standard form that represents the prices at the Theatre on Saturday and the second day.
B) Rewrite the system of equations in slope-intercept form. What are the y-intercepts of both equations?
A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.
B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.
A) Let's define the variables:
Let x represent the number of children attending.
Let y represent the number of adults attending.
On Saturday night:
The equation for the revenue generated on Saturday night is:
4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).
Matinee on the second day:
The equation for the revenue generated at the matinee is:
3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).
Therefore, the system of equations in standard form is:
4x + 5y = 540
3x + 5y = 440
B) Let's rewrite the system of equations in slope-intercept form:
On Saturday night:
4x + 5y = 540
Rearranging the equation, we get:
5y = -4x + 540
Dividing both sides by 5, we get:
y = (-4/5)x + 108
The y-intercept of this equation is 108.
Matinee on the second day:
3x + 5y = 440
Rearranging the equation, we get:
5y = -3x + 440
Dividing both sides by 5, we get:
y = (-3/5)x + 88
The y-intercept of this equation is 88.
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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x-2y= 8 and 3x-6y= 6
Answer:
x-2y= 8 = 0 and 3x-6y= 6 = y= - 1/3 In Alternative Form y= -0.3. , y= -3 -1
Step-by-step explanation:
just need 1, 3 , 5 please will give brainly
1. The volume of the pyramid is 320ft³
3. The volume of the pyramid is 2395.83cm³
5. The volume of the pyramid is 1200in³
What is volume of a rectangular pyramid?The volume of a rectangular pyramid can be calculated using the formula:
V = (1/3) * base area * height
Where:
V represents the volume of the pyramidThe base area refers to the area of the base of the pyramidThe height represents the vertical distance from the base to the apex (top) of the pyramid.1. The volume of the pyramid is calculated as;
V = 1/3 * 8 * 12 * 10 = 320ft³
3. The volume of the pyramid is;
V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³
5. The volume of the pyramid is;
V = 1/3 * (15 * 15) * 16 = 1200in³
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The radioactive substance cesium-137 has a half-life of 30 years. The amount A (r) (in grams) of a sample of cesium-137 remaining after t years is
given by the following exponential function.
A (t)-266 6 (1) 10
Find the initial amount in the sample and the amount remaining after 50 years.
Round your answers to the nearest gram as necessary.
Initial amount:
Amount after 50 years:
The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.
The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:
A(t) = A₀ * (1/2)^(t/30)
We are asked to find the initial amount A₀ and the amount remaining after 50 years.
1. Initial amount:
The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:
A(0) = A₀ * (1/2)^(0/30)
A(0) = A₀ * 1
Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.
Therefore, the initial amount of the sample is A₀.
2. Amount after 50 years:
To find the amount remaining after 50 years, we substitute t = 50 into the equation:
A(50) = A₀ * (1/2)^(50/30)
Now we can calculate the amount using the given formula:
A(50) = A₀ * (1/2)^(5/3)
To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:
A(50) = A₀ * 0.455
A(50) ≈ A₀ * 0.455
Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.
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Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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The height of a triangle is 4cm more than twice the length of the base.The area of the triangle is 35 square cm.Find the height of the triangle.
Answer:
14cm
Step-by-step explanation:
Algebra is the way!
But seriously, let's model this algebraically.
We know the that the area of a triangle is represented by:
\(A = \frac{1}{2} base*height\)
we'll use b and h to represent base and height
\(A = \frac{1}{2} b*h\)
Okay, so you are given the area of the triangle already. It is \(35 cm^2\). SO you have:
\(35 = \frac{1}{2} bh\)
Now here's the tricky bit of the question. You have 2 unknown variables, oh no! How will you solve? The key to this is simple, in a case where you have 2 or more unknown variables, ALWAYS think to yourself, "can I represent this variable in terms of another"?
In this case you can. They tell you what the height of the triangle is, in terms of the length of the base. They tell you, height is 4 cm more than 2 times the base.
So replace h in this equation with 2b + 4.
\(35 = \frac{1}{2} (b)(2b+4)\\\\35 = \frac{1}{2}(2b^2 + 4b)\\ 70 = 2b^2 + 4b\\0 = 2b^2 + 4b - 70\\0 = (2)(b^2 + 2b - 35)\\0 = (b +7)(b - 5)\\\\b = 5\\b\ \neq -7\)
Okay, so you know the base of the triangle is 5 cm. The question asks for height, so what you're going to do is refer back to what h is.
We found that \(h = 2b + 4\)
sub in 5 into that:
\(h = 2(5) + 4 = 14\)
Therefore the height of the triangle is 14cm.
Answer:
Step-by-step explanation:
Givens
Area = 1/2 B* H
B = B
H = 2*B + 4
Area = 35
Solution
35 = 1/2 * B * (2B + 4) Multiply both sides by 2
35*2 = 2*(1/2) * B * (2B + 4) Combine
70 = B(2B + 4) Remove the Brackets.
70 = 2B^2 + 4B Subtract 70 from both sides.
2B^2 + 4B - 70 = 0 Divide everything by 2
B^2 + 2B - 35 = 0 Factor
(B + 7)(B - 5)
B+7 = 0 will give a minus number. Geometry does not allow minus numbers.
B - 5 = 0
B = 5
But what you want is the height.
h = 2b + 4
h = 2*5 + 4
Answer: h = 14
What is the Domain of f(x) = -x^3 + 6x^2 -10x + 4
We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.
To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.
Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.
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An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?
Answer:
An employee's score in order to qualify for increase in the salary must be higher than 95.45.
Step-by-step explanation:
Let X represent the performance score of employees.
It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.
It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.
That is, the probability to qualify for increase in the salary is,
P (X > x) = 0.08
⇒ P (X < x) = 0.92
⇒ P (Z < z) = 0.92
The corresponding z-value is,
z = 1.40
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45\)
Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.
Evaluate the following expression when x = -2, y = 5, and t= 8.
[x]+3t-9y
Answer:
the answer is -23 let me if you have questions
PLEASE HELP I NEED THIS DONE ASAP. I WILL GIVE BRAINLIEST!!!
Here you go.
The answer is A
II Only