Maria jumped 6 inches farther than Nate.
To see why, we can subtract Nate's jump height from Maria's jump height:
32 - 26 = 6
So Maria jumped 6 inches farther than Nate did.
To represent this problem mathematically, we can use the equation:
Maria's jump height - Nate's jump height = the difference in their jump heights
Or, using variables:
M - N = D
Where M represents Maria's jump height, N represents Nate's jump height, and D represents the difference between their jump heights. Plugging in the numbers from the problem, we get:
32 - 26 = D
Simplifying, we get:
6 = D
So D, the difference between their jump heights, is 6 inches.
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HELPPPP PLEASEEE
X=3
Y=12
Z=8
Answer: 6
Step-by-step explanation:
12 x 12 = 144
3 x 8 = 24
144 divide by 24
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:
x=22.5 please mark me as brainlyiest
Step-by-step explanation:
2(x-3)=49
2x-6=49
2x=55
x=22.5
Answer: x=10 x=-4
Step-by-step explanation:
\((x-3)^2=49\\\\(x-3)=7^2\)
Extract the square root of both parts of the equation:
\(\sqrt{(x-3)^2}=\sqrt{7^2} \\\\x-3=б7\\\\x-3=7\\x-3+3=7+3\\x=10\\\\x-3=-7\\x-3+3=-7+3\\x=-4\)
Answer this question ASAP.
Answer:
turkey
indonesia
sweden
iceland
Step-by-step explanation:
well turkeys population is going to equal up to 807,450,00
sweden is 9,910,000
iceland equals 335,000
indonesia is 264,000,000
Joelle wants to center a painting on a wall that is 16.9 feet long. how much space will be between the end of the wall and the painting?
The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.
To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.
Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.
Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.
To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).
Next, we simplify the equation to 16.9 - x = 2 * space.
To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.
To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.
In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.
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Simplify. usa test prep
✓16 + ✓40
Answer:
Step-by-step explanation:
First factorise 16 and 40
\(\sqrt{16}+\sqrt{40}=\sqrt{4*4}+\sqrt{2*2*2*5}\\\\= 4 +2*\sqrt{2*5}\\\\= 4 +2\sqrt{10}\)
let a, b, c, m1, and m2 be integers, with m1,m2 ≥ 1. let d = gcd(m1,m2). prove that, if a ≡b (mod m1) and a ≡c (mod m2), then b ≡c (mod d).
We have proven that b ≡ c (mod d) if a ≡ b (mod m1) and a ≡ c (mod m2) and d = gcd(m1, m2).
1. Since a ≡ b (mod m1), we know that m1 divides (a - b), or in other words, a - b = k1 (m1), where k1 is an integer.
2. Similarly, since a ≡ c (mod m2), we know that m2 divides (a - c), or a - c = k2 * m2, where k2 is an integer.
3. Subtract the second equation from the first: (a - b) - (a - c) = k1 ( m1 - k2) m2.
4. Simplify the left side: b - c = k1 (m1 - k2) m2.
5. Factor out d = gcd(m1, m2) on the right side: \(b - c = d * (k1 * (\frac{m1}{d} ) - k2 * (\frac{m2}{d} ))\\\).
6. Since k1 \(k1 (\frac{m1}{d} ) - k2 (\frac{m2}{d} )\) is an integer, we can say that d divides (b - c).
Thus, we have proven that b ≡ c (mod d) if a ≡ b (mod m1) and a ≡ c (mod m2) and d = gcd(m1, m2).
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Four friends did a job together that paid $85.20. How much should each get if they all get an equal amount? *
Answer:
21.30
Step-by-step explanation:
85.20/4
What is the "Area" of 4.4mm, 3.9mm and 8.7mm
Answer:
4.4 x 3.9 x 8.7 = 149.292
To find an area multiply all given side lengths and make sure to know what shape you are finding the area too because different shapes have different formula's. Parallelograms such as square rectangle or any parallel pair will be just L x W x H or L x W depends if its 2d or 3d
the goal of a hypothesis test is to demonstrate that the patterns observed in the sample data represent real patterns in the population and are not simply due to chance or sampling error. group of answer choices true false
The answer is true. The goal of a hypothesis test is indeed to demonstrate that the patterns observed in the sample data are not simply due to chance or sampling error, but rather represent real patterns in the population.
Hypothesis testing is a statistical tool used to determine whether a hypothesis about a population parameter is supported by sample data. The hypothesis being tested is called the null hypothesis, which assumes that there is no significant difference or relationship between variables in the population. The alternative hypothesis, on the other hand, suggests that there is a significant difference or relationship.
Through hypothesis testing, we can determine whether the observed differences or relationships in the sample are likely to occur by chance or are actually reflective of the true population. If the p-value (the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true) is less than a predetermined level of significance, typically 0.05, we reject the null hypothesis and conclude that the alternative hypothesis is supported by the data.
In summary, the goal of a hypothesis test is to provide evidence that the observed patterns in the sample data are reflective of the true population and not just due to chance or sampling error.
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Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.
Answer:
Step-by-step explanation:
the associative property means that when you are adding OR multiplying you can group the numbers however you want
Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167
Which of the following is true about CH3CH3+? it is the parent ion of ethane A. B. it is a molecular ion of ethane with m/z = 30 C. D. E. it is a fragment of propane it is a fragment of butane A and B H
The statement that is true about CH3CH3⁺ include the following: E. A and B.
What is a chemical bond?In Chemistry, a chemical bond can be defined as the forces of attraction that exists between ions, crystals, atoms, or molecules and they are mainly responsible for the formation of all chemical compounds.
Generally speaking, hydrocarbons such as ethane is typically composed of both carbon and hydrogen elements, which are mainly joined together in long organic-groups.
In conclusion, CH3CH3⁺ is the parent ion of ethane and a molecular ion peak (M) of ethane with m/z =30.
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Complete Question:
Which of the following is true about CH3CH3⁺?
A. It is the parent ion of ethane.
B. It is a molecular ion of ethane with m/z =30.
C. It is a fragment of propane.
D. It is a fragment of butane.
E. A and B.
Explain c-a, when c = 7 and a=6
Answer:
1
Step-by-step explanation:
7-6=1
Answer:
c-a
replace x with 7 and a with 6
rewrite: 7-6
7-6 = 1
Answer: 1
Passing through the points A(2, 4) B(10, -12)
Answer:
Here's a line passing through points (2, 4) and (10, -12)
The equation is \(-2x+8\)
let f(x) = x3 − 2x2. find the point(s) on the graph of f where the tangent line is horizontal.
Answer:
x=0 and x=4/3
Step-by-step explanation:
The tangent line will be horizontal at the points where \(f'(x)=0\):
\(f(x)=x^3-2x^2\\f'(x)=3x^2-4x\\0=3x^2-4x\\0=x(3x-4)\\x=0,\frac{4}{3}\)
Thus, at x=0 and x=4/3, the tangent line will be horizontal at those points.
is 2x+3y=5 a straight-line graph
Answer:
Yes, it is
Step-by-step explanation:
A straight line graph is of the general form;
y = mx + b
where m is the slope and b is the y intercept
We can rewrite what we have as
3y = -2x + 5
y = -2x/3 + 5/3
As we can see, it can be expressed in the general form and that makes it a straight graph
ABC company has just purchased a life truck that has a useful life of 5 years. The engineer estimates that maintenance costs for the truck during the first year will be $2,000. As the truck ages, maintenance costs are expected to increase at a rate of $300 per year over the remaining life. Assume that the maintenance costs occur at the end of each year. The firm wants to set up a maintenance account that earns 10% interest per year. All future maintenance expenses will be paid out of this account. How much does the firm have to deposit in the account now? $9,640.11
$11,500.00
$9,920.21
$9,127.02
The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.
Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.
The future maintenance costs for the truck can be calculated as shown below:
Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:
\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is
5.Substituting the given values in the above equation:
\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.
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HELPP! BRAINLIEST AND 10 POINTS !!
what is the height of this triangle?
A. 2 units
B. 3 square units
C. 3 units
D. cant be determined
Answer:
I think it's 3 units so you got that right
Answer:
its the first one
Step-by-step explanation:
solve the variables
hii can someone explain to me how to do this? tyvm
Step-by-step explanation:
it's late but I hope it helps :)
imagine that the > symbol is just an equal sign
so for example
x+2>4
will look like
x+2=4
and you solve normally
×=2
now we bring the symbol back
x>2
but if you multiple or divide by a negative the sign flips
so say you have
-2x>4
make it into
-2x=4
solve
x=-2
but instead of >
you put
x < -2
plssssssssss i need help
Answer:
the answer is 3rd option.
X=5.961 cm
Factor out the following:
-x^5+9x^3
Answer:
x^3(-x+3)(x+3)
Step-by-step explanation:
-x^5 + 9x^3
factor out x^3
x^3(-x^2+9)
9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)
the fully factored form would be x^3(-x+3)(x+3)
Answer:
-x^3(x - 3)(x + 3).
Step-by-step explanation:
-x^5+9x^3
the greatest common factor = x^3 so we can write it as
x^3(-x^2 + 9)
= -x^3(x^2 - 9)
The expression in the parentheses is the difference of 2 squares so we have:
-x^3(x - 3)(x + 3) Answer.
Which of the following statements is false?
• A. A square is a regular quadrilateral.
B. A rectangle is an equiangular quadrilateral.
C. Adjacent angles in a parallelogram are complementary.
•D. Opposite sides of a parallelogram are congruent.
The statement that is false of quadrilaterals is C. Adjacent angles in a parallelogram are complementary.
What are the type of angles in a parallelogram ?In the tapestry of geometrical relationships, adjacent angles within a parallelogram are not bestowed with the nature of complementarity. Rather, they exhibit a distinct quality known as supplementary.
Unlike the enchanting dance of complementary angles, which combine to form a sum of 90 degrees, adjacent angles in a parallelogram intertwine their measures to yield a sum of 180 degrees. The allure of the parallelogram resides in the congruence of its opposite angles, not the complementarity of its adjacent angles.
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solve for d: s=d/t
please help
Solve.
-5 3/4 - 3 1/2
Answer:
The answer is
\( - 9 \frac{1}{4} \)
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
Please Help With These 4 Questions. I NEED THIS ASAP, I FORGOT TO DO IT YESTERDAY!!! The Questions Are Down Below But I Will Also Type Them Out Over Here:
1. What is 10% of 47?
A. 470
B. 47
C. 4.70
D. 37
2. What is 20% of 82? *
A. 16.4
B. 62
C. 164
3. What is 50% of 30? *
A. 15
B. 80
C. 60
4. What is 10% of 9? *
A. 90
B. 19
C. 0.9
Answer:
1) C. 4.70
2) A. 16.4
3) A. 15
4) C. 0.9
Step-by-step explanation:
I did the math, I hope this helps. (I would appreciate Brainliest)
Select the polynomial that is a perfect square trinomial. 9x2 9x 1 36b2 − 24b 8 16x2 24x 9 4a2 − 10a 25.
The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
What is square?The square can be defined as a two-dimensional figure that has 4 equal sides.
Given are the equations of the areas of the polynomial.
Option C: \(16 x^2 + 24x +9\)
We can write the above equation as,
\((4x)^2 + 2 \times 4x \times 3 + (3)^2\)
\((a+b)^2 = a^2 + 2ab+b^2\)
Here a = 4x and b = 3, so
\(16x^2 + 24x+9 = (4x+3)^2\)
The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.
Hence the polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.
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find the remainder when f(x) = 2x3 − 12x2 11x 2 is divided by x − 5. (2 points) 7 −3 3 −7
The remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.
We can use the remainder theorem to find the remainder when a polynomial is divided by a linear factor.
The remainder theorem states that the remainder when a polynomial f(x) is divided by x - a is f(a). In this case, the polynomial is f(x) = 2x3 - 12x2 + 11x + 2 and the linear factor is x - 5. So, the remainder is f(5).
To find f(5), we can simply substitute x = 5 into the polynomial. This gives us f(5) = 2(5)3 - 12(5)2 + 11(5) + 2 = 7.
Therefore, the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5 is 7.
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There are two agents, each of whom declares independently a nonnegative real number as a bid to win a prige of 1 . The highest bidder gets the prize 1 , while they share it equally in case of a tie. BOTH agents paythe lowest bid. (2) Formulate the above scenario as a strategic form game g=(N,x,u). (6) Find the best response corraspondencas of the playeno aing. (c) Find all Nash equilibria of g.
The scenario described can be formulated as a strategic form game with two players. Each player independently declares a nonnegative real number as their bid to win a prize of 1. The highest bidder wins the prize, while in the case of a tie, the prize is shared equally between the players, and both players pay the lowest bid. The objective is for each player to maximize their utility. The best response correspondences and Nash equilibria of the game can be determined.
Let's denote the two players as Player 1 and Player 2. The strategic form game can be represented as follows:
N = {1, 2} (set of players)
x = {\(x_{1}\), \(x_{2}\)} (set of strategies)
u = {\(u_{1}\), \(u_{2}\)} (set of utility functions)
Each player has the strategy set \(x_{1}\)= \(x_{2}\) = [0, ∞), representing the nonnegative real numbers that they can bid.
The utility functions can be defined as follows:
\(u_{1}\)(\(x_{1}\), \(x_{2}\) ) = { (1/2) - \(x_{1}\), if \(x_{1}\)= \(x_{2}\) ,
1 - \(x_{1}\), if \(x_{1}\)> \(x_{2}\) }
\(u_{2}\)( \(x_{1}\), \(x_{2}\) ) = { (1/2) - \(x_{2}\) , if \(x_{1}\)= \(x_{2}\) ,
1 - \(x_{2}\) , if \(x_{1}\)< \(x_{2}\) }
The best response correspondences describe the strategies that are optimal for each player given the other player's strategy. In this case, the best response for Player 1 is to bid the highest possible value (\(x_{1}\) = ∞) if Player 2 bids 0, and bid 0 if Player 2 bids any positive value. Similarly, the best response for Player 2 is to bid the highest possible value ( \(x_{2}\) = ∞) if Player 1 bids 0, and bid 0 if Player 1 bids any positive value.
The Nash equilibria of the game occur when both players are playing their best responses. In this case, the Nash equilibria are (\(x_{1}\)=0, \(x_{2}\) =0) and (\(x_{1}\) = ∞, \(x_{2}\) = ∞). The first equilibrium represents both players bidding 0 and sharing the prize equally, while the second equilibrium represents both players bidding infinitely high values and neither winning the prize.
Therefore, the best response correspondences in this game are the strategies that maximize each player's utility given the other player's strategy, and the Nash equilibria occur when both players are playing their best responses.
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which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
a. a vertical stretch with a scale factor of .5
b. a translation of 5 units to the right.
c. a translation of 5 units up.
d. a vertical stretch with a scale factor of 2.
Answer:
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units up ⇒ c
a vertical stretch with a scale factor of 2 ⇒ d
Step-by-step explanation:
If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)If f(x) translated vertically k units, then its image h(x) = f(x) + kLet us use these rule to solve the question
∵ f(x) = x²
∵ g(x) is created from f(x) by some transformation
∵ g(x) = 2x² + 5
→ Substitute x² by f(x) in g(x)
∴ g(x) = 2f(x) + 5
→ Compare it with the rules above
∴ m = 2 and k = 5
→ That means f(x) is stretched vertically and translated up
∴ f(x) is stretched vertically by scal factor 2
∴ f(x) is translated 5 uints up
The statements describe transformations performed in f(x) to create g(x) are:
a translation of 5 units upa vertical stretch with a scale factor of 2