To solve this question we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, let's simplify the exponents:
- Three raised to the fifth power (3^5) means multiplying three by itself five times: 3^5 = 3 * 3 * 3 * 3 * 3 = 243.
- Three raised to the square (3^2) means multiplying three by itself once: 3^2 = 3 * 3 = 9.
- Three raised to the cube (3^3) means multiplying three by itself twice: 3^3 = 3 * 3 * 3 = 27.
Next, let's simplify the expression:
- We divide 243 (from 3^5) by 9 (from 3^2), which gives us 243 ÷ 9 = 27.
- Then, we divide 27 by 27 (from 3^3), which gives us 27 ÷ 27 = 1.
Therefore, the value of the expression is 1
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help pls do not delte my anwser i really need help
Answer:
2.False
3.True
4.True
5.False
6.False
7.False
Step-by-step explanation:
The mass of a pencil is 5.44 g. the mass of a crayon is 2.145 g. how much greater is the mass of the pencil than the mass of the crayon? enter your answer in the box.
Answer:7.585 g
Step-by-step explanation: i took the test trust me
Comparing the values by subtraction, the mass of the pencil is greater than the mass of the crayon by 3.295 g.
Using subtraction, two values can be compared by getting how much one exceeds the other.
If the mass of a pencil is 5.44 g and the mass of a crayon is 2.145 g, subtract the mass of the crayon from the mass of the pencil to know how much greater is the mass of the pencil compared to the mass of the crayon.
5.44 g - 2.145 g = 3.295 g
Hence, the mass of the pencil is greater than the mass of the crayon by 3.295 g.
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Hannah has invested £400 in a bank account.
She creates a formula to show her the money she has in her account (M) and a given
amount of years (n). -
M = 400 x (1.021)^n
Looking at her formula, what is the interest rate of the bank account?
Answer:
4000
Step-by-step explanation:
The the answer to X… the triangle = 180
Answer:
20
Step-by-step explanation:
This triangle is right angles.
Sum of remaining two angles ( except right angle ) is 90.
3x - 1 + 31 = 90
3x + 30 = 90
3x = 90 - 30
3x = 60
x = 60 / 3
x = 20
Answer:
20
Step-by-step explanation:
✌️❤️✌️
...............
Solve for x using the secant lines
Answer:
x ≈ 2.3
Step-by-step explanation:
given 2 intersecting chords inside a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
15x = 5 × 7 = 35 ( divide both sides by 15 )
x ≈ 2.3 ( to the nearest tenth )
James needs to fill in three blanks with letters. Find the number of ways he can fill them in if:
a. the letters can be repeated
b. the letters cannot be repeated
Answer:
A. The letters can be repeated
Step-by-step explanation:
Hope it helps
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Does anyone get this?
Answer: B
Step-by-step explanation:
In the systems of equation it already gives you the solution for x which is -2 so all you have to do is substitute -2 into the first equation and solve for y.
y= 2/3x + 3
x= -2
Substitute x for -2
y = \(\frac{2}{3}* \frac{-2}1} + 3\)
y= \(\frac{-4}{3}\) + \(\frac{3}{1}\)
y = \(\frac{5}{3}\)
so now you have the solution like this \((-2,\frac{5}{3})\)
What is the Pythagorean theorem rounding of 16 and 18
The Pythagorean theorem rounding of 16 and 18 would be = 24 (approximately)
What is Pythagorean theorem?Pythagorean theorem is defined as the theorem that expresses the relationship that exists between the three side of a right angle triangle.
The relationship states that the square of the longest side is equal to the sum of the square of the other two sides.
That is, c² = a² + b²
Where, a = 16
b = 18
c² = 16²+18²
c² = 256 + 324
c² = 580
C =√580
C = 24.1
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I NEED HELP PLEASE !!!
which of the following equations produces a direct variation?
I. f(x) = xyz
II. f(x) = x3
III. f(x) = 3x
a. III only b. I only c. I and II only d. II only
The following equations produces a direct variation : III.) f(x) = 3x. Hence, option a) III. only is the correct answer.
If f(x) varies directly with x, then it can be represented by the equation f(x) = kx, where k is a constant of proportionality. Therefore, to determine if an equation represents a direct variation, you need to determine if it can be written in this form of kx.
Now, let's examine each of them: I. f(x) = xyz: This equation is not in the form of kx. It has three variables: x, y, and z. Since we don't know how each variable relates to one another, we can't determine if it represents a direct variation.
II. f(x) = x³: This equation is not in the form of kx either. It has a variable x, but it's cubed. This means that f(x) does not vary directly with x.
III. f(x) = 3x: This equation can be written in the form of kx. If k = 3, then the equation becomes f(x) = 3x. This shows that f(x) varies directly with x.
Therefore, the correct answer is III only.
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Use the graph to answer the question that follows.
Graph with the title rental housing market has quantity along the horizontal axis and rent price along the vertical axis. The quantity on the horizontal axis starts at zero and increases by two thousand units up to seven thousand units. The rent price on the vertical axis starts at zero dollars and increases by two hundred dollars up to sixteen hundred dollars. A downward sloping line indicates demand. An upward sloping line indicates supply. The demand and supply curves intersect when the rent price is one thousand dollars and the quantity is five thousand units.
Assume the government sets a price ceiling, or maximum price, of $800 rent per month. Based on the graph, what will be the outcome of this price ceiling?
There will a rental housing surplus.
There will be a rental housing shortage.
The equilibrium price will increase.
The equilibrium quantity will increase.
Answer:
B. There will be a rental housing shortage.
Step-by-step explanation:
A shortage is when the demand for a product or service is higher than the supply of it, and a surplus is the opposite when there is less demand than what is produced so there ends up being more product than what is actually needed. An equilibrium point is where the supply and demand intersect each other, meaning that product supply is exactly what is demanded having no extra or lack of product.
In this case the government is setting the price at $800 which is $200 below the equilibrium point, which means that more people will want to rent and the supply will not meet the demand ending up being a rental housing shortage.
Answer: Rental Housing Shortage
Step-by-step explanation: I took the test
Construct a counterexample by model for the following invalid argument, and then explain exactly how your counterexample proves that the argument is invalid.
¼ of the hairs in Plato’s beard are gray. ¾ of the hairs in Aristotle’s beard are gray. So, Aristotle has a greater number of gray hairs in his beard than Plato does.
The given argument is invalid. It says that if one person has more gray hair in their beard than another person, then they have a higher percentage of gray hair in their beard.
The argument is invalid because it is possible for one person to have a higher percentage of gray hair in their beard but a lower number of gray hairs in total.One possible counterexample by model is:Suppose Plato has 200 hairs in his beard and 50 of them are gray. So, 1/4 of his hairs are gray. Now, let's suppose Aristotle has 400 hairs in his beard, and 300 of them are gray. So, 3/4 of his hairs are gray. Even though Plato has fewer gray hairs than Aristotle, his percentage of gray hairs is more significant (1/4) than Aristotle's (3/4).
Therefore, the given argument is invalid since Aristotle's beard contains more gray hairs in quantity, but Plato has a higher percentage of gray hair in his beard.
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a tv show had 4,320,000 viewers for its season premiere. express this number using scientific notation.
Answer:
Step-by-step explanation:
See attachment
You decide to get an estimate on the cost of repairs for the green food truck. The mechanic explains that the cost of the repairs comes out to be about $9,500. This price includes the cost of labor and the cost of the parts needed to do the repairs. If labor costs are 3/5 the cost of the parts, how much would you save by doing the repairs yourself and just purchasing the parts?
Answer:
you save labor : 3562.50
Step-by-step explanation:
You want to calculate for labor.
labor = 3/5 (parts)
labor + parts = $9500 (total costs)
3/5 parts + parts =9500
3/5 parts + 5/5 parts = 9500
8/5 parts=9500
5/8(8/5 parts) = 5/8 (9500)
‘parts = 5937.50
labor=3562.50 (3/5 x 5937.50)
total = 9500
4. The value of y varies directly as x and y = 9 when x = 6. What is the value of y when x = 15?
The value of y will be 22.5 as the Constant of Proportionality is 1.5
In the given question, it is stated that y is directly proportional to x. When x= 6 then y = 9. We have to find out the value of y when x = 15.
According to given condition, we know that y ∝ x
To remove the Proportionality sign we need a constant. So,
=> y = k*x, where k = Constant of Proportionality.
Now putting values x = 6, and y = 9 => 9 = 6k
=> k = 9/6 => 1.5, Constant of Proportionality is k = 1.5
Putting k = 1.5, x = 15 we can find out value of y.
=> y = x*k => y = 15*1.5
=> y = 22.5
Hence, when x = 15 the value of y will be 22.5.
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A line with a slope of 8 passes through the points (-1,1) and (0,k). What is the value of k?
Answer:
k = 9
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 8
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)
m = \(\frac{k-1}{0+1}\) = k - 1 = 8 ( add 1 to both sides )
k = 9
what do y = -x + 3 and y = -x + 6 have in common on a graph
Liam is standing on a cliff that is 2km tall, he looks out towards the sea from the top of a cliff and notices two cruise liners on is 5km away at a diagonal and the other is 6. 8km away at a diagonal. What is the distance between the two cruise liners?
To find the distance between the two cruise liners, we can use the Pythagorean theorem. Let's assume Liam is standing at the vertex of a right triangle, with the cliff being the vertical side and the distances to the cruise liners being the diagonal sides.
Let's denote the distance between Liam and the first cruise liner as x, and the distance between Liam and the second cruise liner as y.
For the first cruise liner, we have a right triangle with one leg measuring 2 km (the height of the cliff) and the hypotenuse measuring 5 km. Using the Pythagorean theorem, we can calculate x:
x^2 + 2^2 = 5^2
x^2 + 4 = 25
x^2 = 21
x ≈ √21
Similarly, for the second cruise liner, we have a right triangle with one leg measuring 2 km and the hypotenuse measuring 6.8 km. Using the Pythagorean theorem, we can calculate y:
y^2 + 2^2 = 6.8^2
y^2 + 4 = 46.24
y^2 = 42.24
y ≈ √42.24
Now, to find the distance between the two cruise liners, we subtract the two distances:
Distance between the two cruise liners = y - x ≈ √42.24 - √21
Calculating the approximate values:
Distance between the two cruise liners ≈ 6.5 km
Therefore, the approximate distance between the two cruise liners is 6.5 km.
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Why does a plasmid that is going to be used in both yeast and bacteria need to have two different selection markers? Select ALL that apply. The same selection (e.g. presence of an antibiotic) may not work for both hosts. Having more genes makes the plasmid bigger and thus easier to work with and maintain. In cases where the same selection can be used in both hosts, two selection markers are still needed because bacteria and yeast recognize different promoters The codons used by bacteria correspond to different amino acids than they do in yeast.
A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.
When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.
Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.
In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.
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Solve x2 - 16x + 60 = -12 by completing the steps.Next, add___to each side of the equation to complete the square.
To complete the square for the equation x2 - 16x + 60 = -12, add 64 to each side of the equation. This will give us x2 - 16x + 124 = 52.
Then, factor out the coefficient of x2 (1) and the coefficient of x (16). This will give us (x - 8)2 = 52. Finally, subtract 52 from both sides to get (x - 8)2 = 0. Solving for x yields x = 8.
Equations are mathematical statements that express the equality of two expressions. They involve one or more unknowns that are represented by variables and involve numbers, constants, and operators. An equation states that the expressions on either side of the equal sign have the same value.
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I need help with geometry. The questions asks to write the equation of the line passing through the given point that is parallel to the given line.
Answer:
7y-2x=-7
Step-by-step explanation:
first solve the equation in terms of y. and get the coefficient of x has your gradient slope, and use the equation of a straight line, M1=M2.
You are randomly selecting cards from a deck of cards. What is the probability of pulling a king, replacing it, and then pulling a queen?
Answer:
1/52 since there are usually 52 cards in a deck
Step-by-step explanation:
Please brainliest
Answer:
1/52 since there are usually 52 cards in a deck
Step-by-step explanation:
The reference to beetles in lines 5-6 serves
to suggest that
(A) people need to be more attuned to their
surroundings
(B) effective negotiation is more of a science
than an art
(C) people can be made to do what they
would prefer not to do
(D) effective negotiation requires identifying
with a different viewpoint
(E) people feel uncomfortable when their
actions are under scrutiny
The reference to beetles in lines 5-6 serves to suggest that: effective negotiation requires identifying with a different viewpoint (Option D).
What is a comprehension passage?In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.
Now,
The most effective example in the passage serves to highlight the idea that a competent negotiator should be able to view a situation from the viewpoint of the party they are negotiating with.Hence, the most appropriate option is D, i.e., The reference to beetles in lines 5-6 serves to suggest that: effective negotiation requires identifying with a different viewpoint (Option D).
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X/3 + 4<6 pls help will mark branliest
Answer:
x < 6
Step-by-step explanation:
\(\frac{x}{3}+4 < 6\)
Subtract 4 form both sides
\(\frac{x}{3}<6-4\\\\\frac{x}{3}<2\)
Multiply both sides by 3
\(x < 2*3\\\\x < 6\)
Answer:
X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6
Step-by-step explanation:
Have a nice day
sorry if its wrong
Evaluate f(t)=-2t^2+ 1 for f(-3). PLEASE HELP I BEG YOU!!!!!!!!!!!
Answer:
\(f(-3)=-17\)
Step-by-step explanation:
→ Substitute in t = -3 into \(f(t)=-2t^{2} +1\)
\(f(-3)=-2*-3^{2} +1\)
→ Simplify
\(f(-3)=-2*9 +1\)
→ Simplify
\(f(-3)=-18 +1\) ⇔ \(f(-3)=-17\)
Pls help will mark as brainlest
Answer:
(-2, -2)
(1, 2)
(3, 5)
(9, 14)
Step-by-step explanation:
Graphed on math-way. Sorry, it took so long ;-;
But hopefully this helps :)
round 8.6 to the nearest whole number
Answer:
9
Step-by-step explanation:
Since one place to the right is greater than or equal to 5 you round up.
A normal distribution can be described completely by what? Average variance through time Variance and cumulative probability Mean and standard deviation Geometric and arithmetic average None of the above
A normal distribution can be described completely by its mean and standard deviation. These two parameters provide essential information about the central tendency and spread of the data in a normal distribution.
The mean represents the average or central value around which the data is symmetrically distributed, while the standard deviation measures the dispersion or variability of the data points from the mean.The normal distribution, also known as the Gaussian distribution or bell curve, is a continuous probability distribution that is widely used in statistics and various fields of study. It is characterized by its symmetric shape, where the data clusters around the mean and tapers off towards the tails. The mean (average) determines the center of the distribution, while the standard deviation quantifies the spread of the data.
By knowing the mean and standard deviation of a normal distribution, one can determine the probabilities of different events or outcomes using the cumulative probability function. The mean and standard deviation provide a comprehensive description of the distribution's shape, location, and dispersion, making them crucial parameters for understanding and analyzing data that follows a normal distribution. Therefore, the correct answer is "Mean and standard deviation."
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someone help me please
Answer:
Negative
Step-by-step explanation:
Knowledge Needed
The discriminant of a quadratic function is b^2-4ac.
If the discriminant is positive, there are 2 x-intercepts.
If the discriminant is 0, there is 1 x-intercept.
If the discriminant is negative, there are 0 x-intercepts.
Question
If the parabola does not intersect with the x-intercept, the discriminant is negative.
If m^2 − n^2 = 117, where m and n are prime numbers, find m and n.
M=11
N=2
11•11=121
2•2=4
121-4=117