Can you help me solve this problem using elimination?

Answer:1/2 >2/5

Step-by-step explanation:

Make the denominator the same so 1/2 = 5/10 and 2/5 = 4/10

5/10 (which is the same as 1/2) > 4/10  (which is the same as 2/5)

1/2 > 2/5

Answer: 25

Step-by-step explanation:

There are two variables which is u and v and is given that u is 3 and v is 7  so input that into the expression and solve.

2(3)^2 + 7      Solve the exponent first

2(9) + 7      Now multiply then add

18 + 7 = 25

Answer:

OA=95

Step-by-step explanation:

JL = 19Z = OA = 4Z+75

19Z = 4Z+75

19Z-4Z=75

15Z=75

Z=75÷15

Z=5

OA=4(5)+75

OA=95

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Assume distance is LCM(6,4) = 12 km/s and72 km/s is the speed of the stream.

What is the speed ?

Assume distance is LCM(6,4) = 12 km/s

Assume distance is LCM(6,4) = 12 km/s Upstream speed = 2kmph

Assume distance is LCM(6,4) = 12 km/s Upstream speed = 2kmphDownstream speed = 3kmph

Assume distance is LCM(6,4) = 12 km/s

Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h

Assume distance is LCM(6,4) = 12 km/s

Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h Speed of river = (3 - 2)/2 = 1/2 km/h

Assume distance is LCM(6,4) = 12 km/s

Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h Speed of river = (3 - 2)/2 = 1/2 km/h

If speed of river is 3 km/h, then :

Assume distance is LCM(6,4) = 12 km/s

Upstream speed = 2kmphDownstream speed = 3kmphSpeed of boat = ( 3 + 2)/2 = 2.50 km/h

Speed of river = (3 - 2)/2 = 1/2 km/h If speed of river is 3 km/h,

then :Distance = 12 x 3 /(1/2 ) = 72 km/s

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The equation for the height of water in the tank is: h = (3g + (1/2)v^2)/(2g)

To find the equation for the height of water in the tank, we need to use the principles of fluid mechanics and Bernoulli's equation.

Step 1: Determine the velocity of water coming out of the orifice.
The velocity (v) can be calculated using Torricelli's law, which states that the velocity of fluid flowing out of an orifice is given by the equation:
v = √(2gh)
where g is the acceleration due to gravity (approximately 9.8 m/s^2) and h is the height of the water in the tank.

Step 2: Calculate the cross-sectional area of the orifice.
The cross-sectional area (A) can be calculated using the formula for the area of a circle:
A = πr^2, where r is the radius of the orifice. Since the diameter (d) is unknown, we can express the radius in terms of the diameter:
r = d/2.

Step 3: Apply Bernoulli's equation.
Bernoulli's equation states that the sum of the pressure energy, kinetic energy, and potential energy per unit volume of a fluid remains constant along a streamline. In this case, the streamline is the water flowing out of the orifice.
Applying Bernoulli's equation between the water surface in the tank and the orifice, we can write:
P/ρ + gh + (1/2)ρv^2 = P0/ρ + 0 + 0
where P is the pressure at the water surface in the tank, ρ is the density of water, v is the velocity of water coming out of the orifice, P0 is the atmospheric pressure, and the terms involving kinetic energy and potential energy have been simplified based on the given conditions.

Step 4: Simplify the equation.
Since the orifice is at the bottom of the tank, the height of the water in the tank can be expressed as (3 - h), where h is the height of water above the orifice.
By substituting the values and rearranging the equation, we can solve for h:
P/ρ + g(3 - h) + (1/2)ρv^2 = P0/ρ
g(3 - h) + (1/2)v^2 = (P0 - P)/ρ

Step 5: Calculate the pressure difference.
The pressure difference (P0 - P) can be calculated using the hydrostatic pressure equation:
P0 - P = ρgh

Step 6: Substitute the pressure difference and simplify the equation.
Substituting the value of (P0 - P) and simplifying the equation, we get:
g(3 - h) + (1/2)v^2 = gh

Step 7: Solve for h.
By rearranging the equation, we can solve for h:
3g - gh + (1/2)v^2 = gh
2gh = 3g + (1/2)v^2
h = (3g + (1/2)v^2)/(2g)

Therefore, the equation for the height of water in the tank is:
h = (3g + (1/2)v^2)/(2g), where g is the acceleration due to gravity (approximately 9.8 m/s^2) and v is the velocity of water coming out of the orifice.

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The test statistic from the calculator output, rounding to two decimal places, is t = 1.63.

What is test statistic?

A test statistic is a numerical value calculated from sample data in hypothesis testing. It quantifies the difference or relationship between the sample data and the null hypothesis. The test statistic is used to assess the strength of evidence against the null hypothesis and make a decision about its validity.

To test whether the true mean age of the store's shoppers is significantly higher than 21, a t-test can be used. The ages of the first 10 people surveyed are given as follows: 24, 20, 36, 19, 22, 29, 24, 18, 19, and 25. We can calculate the sample mean and sample standard deviation of these ages.

Sample mean: 23.6

Sample standard deviation: 5.65

Sample size: 10

Hypothesized mean: 21

To calculate the test statistic (t-value):

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

t = (23.6 - 21) / (5.65 / √10)

t ≈ 1.63 (rounded to two decimal places)

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Answer:

Step-by-step explanation:

r x 7 => 18

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer: A

Step-by-step explanation:

hope this helps

The basis for the kernel of T: {(-2t, t, -2t, t)}.

The basis for the range of T: {(1, 0, 0), (0, -2, 1)}.

T is not one-to-one (not injective).

T is not onto (not surjective).

We have,

Finding a basis for the kernel of T (null space):

To find the kernel, we need to solve the homogeneous equation

T(x₁, x₂, x₃, x₄) = (0, 0, 0).

Setting each component to zero, we have the following system of equations:

x₁ - 2x₂ + 4x₄ = 0

x₁x₂ + 2x₃ - 2x₄ = 0

-2x₂ + x₃ + 3x₄ = 0

Solving this system of equations, we obtain the solution x₂ = t, x₃ = -2t, x₄ = t, where t is a parameter.

Substituting these values into the equation x₁ - 2x₂ + 4x₄ = 0, we find x₁ = -2t.

Therefore, a basis for the kernel of T is {(x₁, x₂, x₃, x₄) | x₁ = -2x₂ + 4x₄, x₂ = t, x₃ = -2t, x₄ = t}.

Finding a basis for the range of T:

To find a basis for the range, we need to determine the column space of the matrix representing T. Writing T as a matrix form, we have:

[T] = [[1, -2, 0, 4], [0, 0, 2, -2], [0, -2, 1, 3]]

By performing row reduction on the matrix [T], we obtain the reduced row echelon form:

[[1, -2, 0, 4], [0, -2, 1, 3], [0, 0, 0, 0]]

From the reduced row echelon form, we can see that the column space is spanned by the columns [1, 0, 0] and [0, -2, 1].

Therefore, a basis for the range of T is {(1, 0, 0), (0, -2, 1)}.

Checking if T is one-to-one (injective):

To determine if T is one-to-one, we need to check if the kernel of T contains only the zero vector.

From our earlier calculations, we found that the kernel has the parameter t.

Since t can take different values other than zero, the kernel is not trivial and contains vectors other than the zero vector.

Therefore, T is not one-to-one (not injective).

Checking if T is onto (surjective):

To determine if T is onto, we need to check if the range of T spans the entire codomain (R³).

From our earlier calculations, we found that a basis for the range of T is {(1, 0, 0), (0, -2, 1)}.

This basis spans a subspace of R³, which means the range of T does not cover the entire codomain.

Therefore, T is not onto (not surjective).

Thus,

The basis for the kernel of T: {(-2t, t, -2t, t)}.

The basis for the range of T: {(1, 0, 0), (0, -2, 1)}.

T is not one-to-one (not injective).

T is not onto (not surjective).

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Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

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Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

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Answer:

7.901. 10 '12'

Step-by-step explanation:

Solution:

Note that:

10 days = 24 x 10 hours = 60 x 240 minutes = 60 x 60 x 240 seconds

9 hours = 9 x 60 minutes = 9 x 60 x 60 seconds

Overall time: 864000 + 32400 seconds

Answer:

it is 896400 seconds, really just trust me on this

A ray consists of a line and a point A on it. A is called the initial point of the ray, being this the origin of the ray. The answer is 'initial point'

Answer:

10 cents

Step-by-step explanation:

the bat cost 1 dollar so subtract 1 dollar from 1.10 and you are left with .10 or 10 cents

Answer:

the ball costs $0.05

Step-by-step explanation:

if the total is $1.10, and the bat is $1 more than the ball, you do

1+2x=1.10. do the algebra, and you get 0.05. hope this helps.

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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Answer:

112.765789 ect

Step-by-step explanation:

Answer: To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

So, if the legs of the right triangle measure 2 cm and 5 cm, the hypotenuse c can be calculated as follows:

c² = a² + b²

c² = 2² + 5²

c² = 4 + 25

c² = 29

Therefore, the length of the hypotenuse c is the square root of 29.

c = √29

The answer is c = √29 which is the only one that is not squared, So the answer is (C) 29.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Evaluate the polynomial at x = 1 and x = 2

x = 1 : 1³ + 1 - 3 = 1 + 1 - 3 = - 1

x = 2 : 2³ + 2 - 3 = 8 + 2 - 3 = 7

Then ( 1, - 1 ) → (2, 7 )

Shows the polynomial goes from y = - 1 to y = + 7

The change in sign indicates the graph crosses the x- axis between 1 and 2

Thus indicating a solution between x = 1 and x = 2

Answer:

1000

Step-by-step explanation:

Answer:

(1st option) x>-3

Step-by-step explanation:

therefore, x is greater than negative three

x>-3

Answer:

it is a parallelogram. because both sides are parallel

Answer:

Hello . ♡

The answer to your question is : −370 .

Step-by-step explanation:

Hope this helps u ;)

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The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.

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Combinations and sequences are widely used in mathematics to explain and assess situations in which the order or selection of components might influence the final result.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.

Here,

A combination is a grouping of things from a bigger set in which the order of the components is irrelevant. A sequence is a collection of elements that are ordered in a precise order. Combinations and sequences are frequently used in mathematics to describe and evaluate situations where the order or selection of components might impact the final outcome, such as in combinatorics, probability, and statistics.

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Complete question:

A combination of values that, when arranged correctly, result in a final value. true/false

The value of x log is 2.5 and its close to option d) 2.80

For which value of x is y = log 9x not defined?

The logarithm is defined only for the positive numbers.

Hence, to find out for which value of x, y = log 9x is not defined, we need to see for which value of x, 9x is negative.

It is not possible for any real number to be raised to a power and result in a negative number. Therefore, the logarithm is undefined for any negative number. 9x can never be negative for any real value of x. So, log 9x is defined for any positive value of x. x>0

Therefore, the value of x for which y = log 9x is not defined. Therefore, the correct option is none of the given options.

Given the equation 27(81)x−2=243−2x, what is the value of x

Simplify the given equation as below,

27(81)x-2=243−2x 38x-2=3-2x 38x=3-2x+2 38x=5-2x 8x=5 x=58/8 x=2.5

Therefore, the value of x is 2.5. Therefore, the correct option is d. 2.80. Note that the closest option to 2.5 is 2.80.

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Answer: -20

Step-by-step explanation: 16 x 1/4 - 4x 6

Answer 243

Step by step explanation

first you have to find out the cost of 1 orange

so 45÷15 = 3

the cost of 1 orange is 3 rupees

number of orange = 81

then cost of one orange = 3

81 ×3 =243

and the cost of 81 orange is 243 rupees