PLEASE HELP ASAP!!! HOW DO I DO THIS?

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\( { - a}^{3} . {b}^{3} = ( { - a \times b})^{3} = ( { - ab})^{3} \\ \)

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Answer: 0.31

Step-by-step explanation:

0.3158 is closer too 0.3100 than 0.3000 or 0.3

Rounding 0.3058 to the nearest hundredth gives us 0.31.

Given that a number we need to round it to the nearest hundredth,

To round 0.3058 to the nearest hundredth, we need to look at the digit in the thousandth place (the third decimal place).

Step 1: Look at the digit in the thousandth place. In this case, the digit is 5.

Step 2: Determine if the digit is 5 or greater. If the digit is 5 or greater, we round up. If the digit is less than 5, we round down.

Since the digit in the thousandth place is 5, we round up.

Step 3: Round up the number in the hundredth place. In this case, the number in the hundredth place is 0.

Rounding up 0 to the nearest hundredth gives us 1.

Therefore, rounding 0.3058 to the nearest hundredth gives us 0.31.

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Answer:

10

Step-by-step explanation:

Let the total number of poodles = \(x\)

Let the total number of show dogs = \(y\)

\(\frac{1}{4}\) of the poodles are show dogs

and

\(\frac{1}{7}\)  of the show dogs are poodles

\(\therefore \dfrac{1}{4}x = \dfrac{1}{7} y\)

As per the question statement, \(x\) must be divisible by 4 and

\(y\) must be divisible by 7.

And we have to find the least number of dogs.

So, least number divisible by 4 = 4 and

Least number divisible by 7 = 7

So, least values of \(x\) i.e. poodles = 4 in which we have 1 show dog

Hence, 3 are not show dogs.

and least value of show dogs i.e. \(y\) = 7 (it includes the one poodle which is also show dog).

So, least number of dogs at the fair = 7 + 3 = 10

a = b

b = 180° - 130° = 50°

so a = 50°

The probability of observed value of a standard normal random variable less than 1.5 (P(Z < 1.5)) is approximately equal to 0.9332 or 93.32%.

To find the probability of observing a standard normal random variable less than 1.5 P(Z < 1.5),

Use a standard normal distribution calculator.

The standard normal distribution provides the cumulative probability area under the curve to the left of a given z-score.

The cumulative probability to the left of 1.5.

Using the standard normal distribution

The corresponding probability for a z-score of 1.5.

Based on the calculator, the cumulative probability to the left of 1.5 is approximately 0.9332.

Therefore, the probability of observing a standard normal random variable less than 1.5 (P(Z < 1.5)) is approximately 0.9332 or 93.32%.

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Answer:

-6y + 7y

Step-by-step explanation:

-3(2x-y) + 2y + 2(+y)

-6x + 3y + 2y + 2y

-6x + (3y + 2y + 2y)

-6x + (7y)

-6x + 7y

Answer:

10x -6 +4x & -6 + 14x are equivalent to the algebraic Expression : 2(5x -3) + 4x

Step-by-step explanation:

First, you should Simplify the expression.

2(5x -3) + 4x = 10x -6 +4x <-- Here we distributed. We see this expression is an option, so you would choose that.

We Contiue:

10x -6 + 4x =  -6 + 14x <-- here we added the like terms, 10x and 4 x

Next:

-6x + 14 = -2.3. <-- here we got our answer, but our choices are only expressions, so this is just an extra step.

Answer

-6 + 14x

10x - 6+ 4x

Step-by-step explanation:

Answer:

8-2x = -8x + 14

Add 8x to both sides:

8x - 2x = 14 + 8x

Simplify:

6x = 14 + 8x

Subtract 8x from both sides:

6x - 8x = 14

Simplify:

-2x = 14

Divide both sides by -2:

x = -7

Therefore, the solution is x = -7.

Answer:

Step-by-step explanation:

          8 - 2x = -8x + 14

          -8        =          -8            

               - 2x = -8x + 6

                +8x = +8x                  

                  6x  = 6  

x = 1

9514 1404 393

Answer:

  5p^2q√(3p)

Step-by-step explanation:

Factor out even powers, then remove those from under the radical.

  \(\sqrt{75p^5q^2}=\sqrt{5^2p^4q^2\times3p}=\boxed{5p^2q\sqrt{3p}}\)

Answer:

Hi... U should do like this

The recursive formula will be g(n) = g(n-1) + 5

"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:

The first term of the sequence.

The pattern rule to get any term from its previous term.

Recursive Formula for Arithmetic Sequence

The recursive formula to find the nth term of an arithmetic sequence is:

an = an-1 + d for n ≥ 2

where

an is the nth term of a A.P.

d is the common difference."

Given,

\(g(n) = 1 + 5(n-1)\)

Let the remaining term be x

Now,

\(g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5\)

So, \(g(n) = g(n-1) + 5\)

And, \(g(1) = 1 + 5(1 - 1) + 5\)

\(g(1) = 6\)

Hence, \(g(1) = 6\) and \(g(n) = g(n-1) + 5\)

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The last blue colored square on a 1x100 board with alternating color pattern every increasing number is 97th box.

In an 1x100 board, the boxes are numbered from 1 to 100. The boxes are painted with three colors from left to right in the following way: the first box is blue, then 2 red boxes, then 3 green boxes, then 4 blue boxes, 5 red boxes, and so on, painting one more box each time. What number is the last blue painted box? Explain how you found it.

To solve the problem, we need to find the pattern in the way the boxes are painted. We can notice that the colors repeat after every three boxes, so we need to find the remainder when 100 is divided by 3.

100 ÷ 3 gives a quotient of 33 and a remainder of 1.

This means that after painting 99 boxes, the next box would be the first blue box again. Therefore, the last blue painted box is the 97th box, which is two boxes before the first blue box on the board.

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The dimensions of a rectangular box with a square base which has a volume of 12 cubic feet is a = 12^ 1/3, b = 12^ 1/3

Rectangular Box with Square base

Volume v = a²b = 12

S = Surface area = 2a² + 4ab

v = a²b = 12

b = 12/a²

S = 2a² + 4ab = 2a² + 4a(12/a²) =2a² + 48/a

S'(a) = 4a -48/a² = 0

4a³ = 48

a = 12^ 1/3

b = 12/a² = 12/12^ 2/3 = 12^ 1/3

Therefore, the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet is a = 12^ 1/3, b = 12^ 1/3

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Answer:

\({26}\)

Step-by-step explanation:

\( \sqrt{(0 - ( - 5) ){}^{2} + (0 - 1) {}^{2} } \)

\( = \sqrt{ {(5)}^{2} + {( - 1)}^{2} } \)

\( = \sqrt{25 + 1} \)

\( = \sqrt{26} \)

Answered by GAUTHMATH

Answer:

26

Step-by-step explanation:

(-5, 1) (0, 0)

sqrt(5^2 + (-1^2))

sqrt(25 + 1)

sqrt(26)

So, 26 goes under the radical.

Answer:

Marcus needs to buy at least twice as many pounds of apples as pounds of bananas

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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(a) The minimum sample size required to construct a 95% confidence interval for the population mean where the estimate must be within 0.84 milligrams of the population when the population standard deviation is 3.17 mm is shown below :Formula used to determine the minimum sample size required to construct a 95% confidence interval for the population mean is: $$ n=\frac{z^{2} \ cdot \sigma^{2}}{E^{2}} $$ where, n = minimum sample size E = Maximum error (Margin of error)Z = 1.96 for 95% confidence levelσ = 3.17 mm E = 0.84 milligram (As given)Hence, $$ n=\frac{(1.96)^{2} \c dot (3.17)^{2}}{(0.84)^{2}}\approx30 $$ Therefore, the minimum sample size required to construct a 95% confidence interval for the population mean is approximately 30.

(b) The sample mean is 33 milligrams. Using the minimum sample size with a 95% level of confidence, the population mean could be within 3% of the sample mean as follows :For 3% of the sample mean (0.03 × 33 = 0.99), the interval for the population mean would be as follows:$$(33 - 0.99, 33 + 0.99)$$or (32.01, 33.99) milligrams. Since the interval contains the actual population mean of µ, it is likely that the population mean could be within 3% of the sample mean. For 0.3% of the sample mean (0.003 × 33 = 0.0999), the interval for the population mean would be as follows:$$(33 - 0.0999, 33 + 0.0999)$$or (32.9, 33.1) milligrams. Since the interval contains the actual population mean of µ, it is likely that the population mean could be within 0.3% of the sample mean.

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The answer is:

Work/explanation:

A negative times a negative gives a positive:

\(\bullet\phantom{333}\bf{(-4)\times(-5)=20}\)

\(\bullet\phantom{333}\bf{(-8)\times(-10)=80}\)

\(\bullet\phantom{333}\bf{20\times80}\)

\(\bullet\phantom{333}\bf{1,600}\)

If the vertex of a parabola is (0, -4). The equation of the axis of symmetry for this parabola is x = 0.

We first take out the coefficient of x squared, and then inside the bracket, we try to make a perfect square-like situation.

For parabolas, its axis of symmetry always goes through the vertex of the parabola.

In other words, the axis of symmetry is a vertical line that goes through the x-coordinate of the vertex.

Now, if the vertex of a parabola is (0, -4) which is at x = 0, y = -4.

Thus, the vertical line that goes through the coordinate of the vertex would be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

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Answer: 9 5/9

Step-by-step explanation:

86/9 = 9 5/9

9x9=81
86-81=5

Answer:9

Step-by-step explanation:

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

86/9= 9.5555555555556 = 9

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (9) and multiply it by the original denominator (9). The result of that multiplication is then subtracted from the original numerator:

86 - (9 x 9) = 5

Step 3: Our mixed fraction

We've now simplified 86/9 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

9

5

9

Step 4: Simplifying our fraction

In this case, our fraction (5/9) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 5 and 9 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

5/1 = 5

9/1 = 9

When we put that together, we can see that our complete answer is:

9

5

9

i hope that helped you

The amount of energy required to move the book from the shelf to the floor, taking into account the force applied by Jessica and the distance over which the force was applied is 19.6 Joules.

To find the amount of work done on the book, we need to know the force that Jessica applied to the book and the distance over which she applied the force.

Based on the information provided, it seems that Jessica applied a force in the downward direction to move the book from the 2 m high shelf to the floor. The displacement of the book would also be in the downward direction, from the shelf to the floor.

To calculate the amount of work done on the book, we can use the formula: Work = Force x Distance.

If we assume that the force applied by Jessica was constant and equal to the weight of the book (1 kg x 9.8 m/s2 = 9.8 N), and the distance over which she applied the force was the distance from the shelf to the floor (2 m), then the work done on the book would be:

Work = 9.8 N x 2 m = 19.6 Joules.

Hence, the amount of energy required to move the book from the shelf to the floor, taking into account the force applied by Jessica and the distance over which the force was applied is 19.6 Joules.

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Answer:

On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Which is the graph of the given function?

Here we have the exponential decay:

f(x) = 100*(0.7)^x

So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).

Now, if we evaluate in x = 0 we get:

f(0) =  100*(0.7)^0 = 100

Then it goes through the point (0, 100).

If we evaluate in x = 2, we get:

f(2) = 100*(0.7)^2 = 49

Then it also goes through the point (2, 49).

With all that in mind, the correct option is:

"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."

In the first graph, we have that the whole figure is 1

it is divided in 4 parts:

Then, we want to divide 1 into 4 parts. That is

Then, we have that:

It is the same for the second figure:

Each 1/4 corresponds to each part. Then if we add them:

The number that is non-irrational is 5.73, because it can be written as a quotient of two integers.

A rational number is a number that can be written as a quotient of two integer numbers, while an irrational number can't be written like that.

Also, the square root of a non perfect square is also irrational.

Here the options are:

5.73, ,√73, √40

Notice that neither of the square roots of non perfect square numbers, so these are irrational numbers.

In other hand, if we see the first one:

5.73

We can rewrite this as:

5.73 = 573/100

So this is a quotient of two integers, then this is a rational number, so this is the correct option.

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Answer:

Step by step solution of a set of 2, 3 or 4 Linear Equations using the Substitution Method x-y=7;2x-2y=14 Tiger Algebra Solver.

Step-by-step explanation:

The g(x) function is an odd function and h(x) is neither odd nor even.

What are odd and even functions?

Odd function - The function that changes it's value to negation of given                            function after putting (-)variable.

i.e. f(-x) = -f(x)

Even function - The function that doesn't changes it's value to negation of given function after putting (-)variable.

i.e. f(-x) = f(x)

In given functions:

g(x)=5x

then, g(-x)= 5(-x)

                = -5x

                = -g(x)

So, g(x) is an odd function.

h(x)=5x^2- 6x^23

then, h(-x) = 5(-x)^2 - 6(-x)^23

                 = 5x^2 + 6x^23

As, it's neither equal to h(x) nor h(-x).

Hence, find the right answer.

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Since the value is a numerical measurement representing a property of a sample, it is statistical.

Given that a sample of workers is chosen, and it is discovered that 55% of them possess a car.

Let's first clarify the distinction between a parameter and a statistic before moving on to the questions.

Parameters are numerical summaries of population statistics. However, statistics are numerical summaries of sample data.

Sample is a subset of the population; as such, it is just a small percentage of the whole population.

The percentage of the sample of employees in this case is 55%. Statistic refers to a numerical representation of data about a sample.

The value is statistical since it is a numerical measurement that describes a property of a sample.

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Answer:

I think B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If you follow rise/run

The rise over run is positive 2/3

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

The step 3 according to the question is,

4x = 32

Dividing both sides by 4,

x = 32/4

x = 8

Therefore, the final result will be x = 8.

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Answer:

Between -2F and -1F

Step-by-step explanation: