solve this equation 18x²+39x+20=0
Step-by-step explanation:
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
If you increase______and _____then you will increase the objects amount of potential energy. a. mass, speed b. mass, velocity c. mass, height d. mass, acceleration
The correct answer is c. mass, height.
If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.
The potential energy of an object in a gravitational field is given by the equation:
Potential Energy = mass * gravitational acceleration * height
By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:
PE ∝ m * h
Therefore, increasing the mass and height of an object will increase its potential energy.
A rectangular school yard is 96 meters wide and 178 meters long. What is its perimeter?
Answer: 69 square meters
Step-by-step explanation:
Take your time please.
Answer
1 2/7 and 4 2/4
Step-by-step explanation:
19/7-10/7=1 2/7 and 5/4 + 7/4 + 6/4 = 4 2/4
Answer:
The first one is approximately 1.29 and the second one is 4.5.
Step-by-step explanation:
Hope this helps!
(7×25)+(7×12) in a shorter way
Answer:
Th answer is 175 + 84 =259
Step-by-step explanation:
follow the PEMDAS procedure multiply in the parentheses then add your 2 answers
If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
I’ll mark Brainly! The diagram models a numerical equation. What does line A represent?
A) −2
B) −6
C) +2
D) +6
Answer:
I think it's A.-2
Step-by-step explanation:
Because it's going backwards from zero by two lines so I think it's -2 Hope it's right
i need you to show your work
\(5\dfrac 23 + 4\dfrac 12\\\\\\=5+ \dfrac 23 + 4 + \dfrac 12\\\\\\=9 + \dfrac 23 + \dfrac 12\\\\\\=9+ \dfrac 76 \\\\\\=\dfrac{61}6\\\\\\=10\dfrac 16\)
Answer:
\( \displaystyle{5 \frac{2}{3} + 4 \frac{1}{2} }\)
\(\displaystyle{ \frac{17}{3} + \frac{9}{2} }\)
\(\displaystyle{ \frac{17 \times 2 + 9 \times 3}{6} }\)
\(\displaystyle{ \frac{34 + 27}{6} }\)
\(\displaystyle{ \frac{61}{6} }\)
\(\displaystyle{10 \frac{1}{6} }\)
someone please tell me this answer!!
Find the quotient of 10^-4/10^2
The quotient of 10⁻⁴/10² is 10⁻⁶
How to Find the quotient of 10⁻⁴/10²?Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.
For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.
Division law states that:
10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ
In this case have:
10⁻⁴/10² = 10⁻⁴⁻² (Division law)
10⁻⁴/10² = 10⁻⁶
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70 points!!!!!!!!!!
Rewrite y=2(1.06)9t in the form y=a(1+r)t or y=a(1−r)t to determine whether it represents exponential growth or exponential decay. Round a and r to the nearest hundredth if necessary.
The function is an exponential growth function
How to determine the type of the functionThe function is given as
y=2(1.06)^9
We can begin by rewriting the given equation as:
y = 2 * 1.06t
So, we have
y = 2 * (1 + 0.06)^t
Now we can see that the equation is in the form y = a*b^t,
where a = 2 and b = 1.06^9
This equation represents exponential growth because the base of the exponent, b = 1.06, is greater than 1.
We can re-write it in the form y = a(1+r)t,
we can find the value of r by subtracting 1 from 1.06 which is 0.06 and the value of a is 2.
so we have y = 2(1+0.06)^t
So, the equation represents exponential growth with a = 2 and r = 0.06
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A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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Your friend was bored one day and started making patterns using Cheerios from a new box he had opened. He laid the Cheerios on the table as such:
Based on the two images above and the information about the box, answer the following questions.
A) Identify and label the variable
B) Make a table for up to 8-figure patterns
C) Write an equation to represent the nth term of the sequence.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
E) Is it reasonable to think this pattern would continue forever? If not, explain.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
PLS ANSWER ALL OF THE QUESTIONSSS I REALLY NEED THE ANSWERS ASAPPPPPPP PLEASE AND THANK YOU
A) The variable is n, which represents the number of the figure in the pattern.
B) Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) The equation to represent the nth term of the sequence is n(n+1)/2.
D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.
E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
Here is a more detailed explanation of how to answer each question:
A) Identify and label the variable
The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.
B) Make a table for up to 8-figure patterns
Here is a table for up to 8-figure patterns:
Figure Number of Cheerios
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
C) Write an equation to represent the nth term of the sequence
The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.
D) If the pattern continues, what figure number will have 20 whole Cheerios in it?
If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.
E) Is it reasonable to think this pattern would continue forever? If not, explain.
It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.
F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?
Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.
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which side is included between the given pair of angles?
R and P, or P and Q?
Answer:
R and p is included through pair of angle
The side that is included between the given pair of angles is:
P and Q
How to identify the side of the pair of angles?Looking at the given triangle PQR, we see that the longest side of the triangle PQR is PQ.
Now, from the given triangle, if any point will be projected to form an angle, it will be the two points on the longest side of the triangle.
From the above, we can see clearly that P and Q were projected to form the angle QR and as a result we can easily deduce that P and Q are the points between the given pair of angles.
The conclusion is that points P and Q are correct.
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which angle pairs in the diagram are supplementary angles? Check all that apply.
Answer: 1 & 4 4&5 6&7
Step-by-step explanation:
Solve: 18^(x^(2)+4x+4)=18^(9x+18)
x = -2
x = 7
x = –2 and x = 7
no solution
Is this the problem?
\(18x^{2+4+4} = 18^{9x+18}\)
Answer
The Answer is C
x=-2 and x=7
is participating in a carnival game where a spinner is spun. Use the spinner below to determine the probability of an event occurring.
P(odds)
Construct a circle graph that represents the following data concerning the monthly expenses for a family budget.
Category Percent
Housing 35 %
Food 14%
Clothing 17%
Entertainment 12 %
Auto 22%
Find the central angle for housing. If necessary, round to the nearest tenth.
Answer:
The circle graph is attached.
Step-by-step explanation:
a) Data and Calculations:
Monthly Expenses for a Family Budget
Expenses Percentage Degree
Housing 35% 130° (360° * 35%)
Food 14% 50° (360° * 14%)
Clothing 17% 60° (360° * 17%)
Entertainment 12% 40° (360° * 12%)
Auto 22% 80° (360° * 22%)
b) The result shows that Housing expense took more than one-third of the circle with auto expenses occupying the next biggest chunk of the circle. Clothing came third to occupy one-sixth of the circle, with food and entertainment trailing behind with less than one-sixth of the circle respectively.
2. How many ways can you choose a five-digit zip code with the first digit not a zero?
Answer:
90,000 ways
Step-by-step explanation:
9 × 10 × 10 × 10 × 10 = 90,000
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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Is the graph increasing, decreasing, or constant?
A. Increasing
B. Decreasing
C. Constant
Answer:
The answer is A increasing
Step-by-step explanation:
While we analyzed the graph, we have identified that the graph is Decreasing. (option b)
If the line passes through the graph from the bottom-left to the top-right, the graph is increasing. This is because as the x-values increase along the horizontal axis, the corresponding y-values increase along the vertical axis, resulting in an upward trend.
On the contrary, if the line passes through the graph from the top-left to the bottom-right, the graph is decreasing. As the x-values increase, the corresponding y-values decrease, creating a downward trend.
In the case where the line passes through the graph at a constant angle, forming a straight line, the graph is constant. This means that the y-values remain unchanged regardless of the change in x-values, leading to a flat line.
It's important to note that the direction of the line, either from bottom-left to top-right or top-left to bottom-right, depends on the orientation of the coordinate system. In a standard Cartesian coordinate system, the former represents an increasing graph, while the latter signifies a decreasing graph.
So, the correct answer is option (b).
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Hello help me with this
Answer:
a) f(x) = 12x +11
b) f(x) = 12(x +11)
c) f(x) = x/2 -6
d) f(x) = (x -6)/2
Step-by-step explanation:
The "and then ..." operation applies to the entire result of the first operation.
a)"multiplies input by 12" = 12x
"and then adds 11" = 12x +11
f(x) = 12x +11
__
b)"adds 11 to the input" = x +11
"and then multiplies by 12" = (x +11)×12 = 12(x +11)
f(x) = 12(x +11)
__
c)f(x) = x/2 -6
__
d)f(x) = (x -6)/2
_____
Additional comment
When you write division expressions in plain text using a slash (/) or "divided by" symbol (÷), you need to be careful to identify what the numerator and denominator are. If either one is other than a single token (variable or constant), then parentheses must be used to indicate what is part of the group.
In typeset text, the answer to (d) looks like ...
\(f(x)=\dfrac{x-6}{2}\)
If you write this in plain text as ...
f(x) = x -6/2
the Order of Operations requires that you do the division first, giving 6/2 = 3, then the subtraction: x -3. Of course, this result is something entirely different from the f(x) described in part (d). In short, the fraction bar in the typeset expression serves as a grouping symbol, so (x -6) is treated as a single unit. In plain text, the only grouping symbol available is parentheses, so the expression must be written as ...
f(x) = (x -6)/2
__
The same sort of logic applies to other typeset symbols that do grouping. A radical is another one of these:
\(g(x)=\sqrt{x-6}\)
is not the same as g(x) = √x -6. However, it is the same as g(x) = √(x -6).
The table shows the number of passengers that can be transported in a company’s vans. How many passengers can be transported in five vans?
Answer:
It is hard to explain but the answer is 60
Step-by-step explanation:
why because 5 x 12 = 60
h o p e t h i s h e l p e d
Answer:
60
Step-by-step explanation:
simple i did the math
Jason is putting in a new circular shaped fire pit in his backyard.The diameter of the fire pit is 8 feet. What is the area of the backyard does the fire pit have?
Hey, what is 2*3+2*6^588+(3/3)=? I keep getting it wrong all the time.
I have another question, chocolate cake or red velvet cake.
Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.
A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet
The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A
The diagram for the question is shown as described in the question in the attachment below.
From the diagram,
Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C
/AG/ = 1200 feet
/AG/ = /BD/ = 1200 feet ( as shown in the diagram)
The distance between the two balloons is equal to /GD/
Also, from the diagram, /GD/ = /GC/ + /CD/
To find /GC/,
Consider ΔAGC
/AG/ = 1200 feet
/GC/ = ?
From the question, "Balloon A has risen at a 56° angle"
∴ x° = 56°
Using the formula
\(tan(x^{o} ) = \frac{/AG/}{/GC/}\)
\(tan(56^{o}) = \frac{1200}{/GC/}\)
\(/GC/ = \frac{1200}{tan(56^{o}) }\)
/GC/ = 809.41 feet
To find /CD/
Consider ΔBCD
/BD/ = 1200 feet
/CD/ = ?
From the question, "Balloon B has risen at a 81° angle"
∴ y° = 81°
Using the formula
\(tan(y^{o} ) = \frac{/BD/}{/CD/}\)
\(tan(81^{o}) = \frac{1200}{/CD/}\)
\(/CD/ = \frac{1200}{tan(81^{o}) }\)
/CD/ = 190.06 feet
Now, recall that /GD/ = /GC/ + /CD/
∴ /GD/ = 809.41 feet + 190.06 feet
/GD/ = 999.47 feet
/GD/ ≅ 999 feet (to the nearest whole number)
Hence, the distance between the two balloons is 999 feet
Balloon B is 999 feet from balloon A.
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Answer:
999 Units
Step-by-step explanation:
Help pleaseee!! I will give brainlist
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
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If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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Constance ran 620 meters around 4 sides of a square field. How many meters long was each side of the field?
How do we know where to label base and where to label height on a trapezium. does it matter where they are on the trapezium or does it have to be in rectangular please help on question
The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.
In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.
Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.
Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.
It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.
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